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id=\"\u5f15\u7528\u5b8f\u5305\u7684\u58f0\u660e\">\u5f15\u7528\u5b8f\u5305\u7684\u58f0\u660e<\/h2>\n<p>\u6211\u4eec\u5728\u4f7f\u7528LaTeX\u65f6\u5e38\u5e38\u9047\u5230\u539f\u751fLaTeX\u4e0d\u652f\u6301\u7684\u201c\u9a9a\u64cd\u4f5c\u201d\uff08\u5373\u539f\u751fLaTeX\u547d\u4ee4\u6ca1\u6709\u7684\u5185\u5bb9\uff09\uff0c\u600e\u4e48\u529e\u5462\uff1f\u6709\u4e00\u4e9b\u5927\u4f6c\u4e3a\u6211\u4eec\u7f16\u5199\u4e86\u8bb8\u591a\u5b8f\u5305\uff0c\u5c31\u662f\u628a<\/p>\n<p>\u4f7f\u7528\u4ee5\u4e0b\u65b9\u5f0f\u6765\u58f0\u660e\u8981\u5f15\u7528\u7684\u5b8f\u5305\uff1a<\/p>\n<pre><code>\\usepackage{adc}\n<\/code><\/pre>\n<p>\u5176\u4e2dabc\u4e3a\u5b8f\u5305\u540d\uff0c\u5316\u5b66\u5e38\u7528\u7684\u5b8f\u5305\u6709mhchem\u548cchemfig\uff0c\u90a3\u4e48\u6211\u5c31\u8be5\u8fd9\u6837\u5f15\u7528\uff1a<\/p>\n<pre><code>\\usepackage{mhchem}\n\\usepackage{chemfig}\n<\/code><\/pre>\n<p>mhchem\u4f1a\u8981\u6c42\u6700\u597d\u5e26\u4e0a\u7248\u672c\u53f7\uff0c\u6240\u4ee5\u4e0b\u9762\u8fd9\u79cd\u65b9\u5f0f\u624d\u662f\u6700\u597d\u7684\uff1a<\/p>\n<pre><code>\\usepackage[version=4]{mhchem}\n\\usepackage{chemfig}\n<\/code><\/pre>\n<h2 id=\"\u9875\u8fb9\u8ddd\">\u9875\u8fb9\u8ddd<\/h2>\n<p>LaTeX\u5e76\u6ca1\u6709\u7ed9\u51fa\u4e00\u4e2a\u5f88\u597d\u7684\u9875\u8fb9\u8ddd\u89e3\u51b3\u65b9\u6848\uff0c\u8981\u8c03\u6574\u9875\u8fb9\u8ddd\uff0c\u5c31\u5fc5\u987b\u4f7f\u7528<code>geometry<\/code>\u5b8f\u5305\uff1a<\/p>\n<p>\u4f7f\u7528\u4e0a\u9762\u63d0\u5230\u7684\u5f15\u7528\u5b8f\u5305\u7684\u65b9\u5f0f\uff1a<\/p>\n<pre><code>\\usepackage{geometry}\n<\/code><\/pre>\n<p>\u5728\u5176\u540e\u52a0\u4e0a\u8c03\u6574\u9875\u8fb9\u8ddd\u7684\u547d\u4ee4\uff1a<\/p>\n<p>\u7a84\uff1a<\/p>\n<pre><code>\\geometry{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<\/code><\/pre>\n<p>\u5bbd\uff1a<\/p>\n<pre><code>\\geometry{left=3.18cm, right=3.18cm, top=2.54cm, bottom=2.54cm}\n<\/code><\/pre>\n<h2 id=\"\u884c\u8ddd\">\u884c\u8ddd<\/h2>\n<p>\u5982\u679c\u662f\u6587\u7ae0\u7684\u8bdd\u5efa\u8bae\u7528\uff1a<\/p>\n<pre><code>\\linespread{1.5}\n<\/code><\/pre>\n<p>\u9ed8\u5199\u6e05\u5355\u4ec0\u4e48\u7684\u53ef\u4ee5\u75282.0<\/p>\n<p>\u5982\u679c\u60f3\u66f4\u6539\u5c40\u90e8\u6bb5\u843d\u7684\u884c\u8ddd\u7684\u8bdd\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/lucas2011.top\/index.php\/archives\/544\">setspace\u5b8f\u5305<\/a>\u4e2d\u7684<code>spacing<\/code>\u73af\u5883<\/p>\n<h2 id=\"\u6587\u7ae0\u6837\u5f0f\">\u6587\u7ae0\u6837\u5f0f<\/h2>\n<p>\u6b63\u5e38\u7684\u6587\u7ae0\u6837\u5f0f\uff1a<\/p>\n<pre><code>\\pagestyle{plain}\n<\/code><\/pre>\n<h2 id=\"\u6807\u9898\u4f5c\u8005\u65f6\u95f4\">\u6807\u9898&amp;\u4f5c\u8005&amp;\u65f6\u95f4<\/h2>\n<pre><code>\\title{\u6211\u662f\u6807\u9898}\n\\author{\u4f5c\u8005}\n\\date{\u65f6\u95f4}\n<\/code><\/pre>\n<p>\u5176\u4e2d\u65f6\u95f4\u53ef\u4ee5\u7528\\today\u6765\u8868\u793a\u4eca\u5929\uff0c\u4f1a\u5728\u7f16\u8bd1\u65f6\u81ea\u52a8\u586b\u5145\u5f53\u524d\u65f6\u95f4<\/p>\n<p><strong>\u8bf7\u6ce8\u610f\uff0c\u4e00\u5b9a\u8981\u5728\u6b63\u6587\u533a\u4f7f\u7528<code>\\maketitle<\/code>\uff0c\u5426\u5219\u6807\u9898\u3001\u4f5c\u8005\u3001\u65f6\u95f4\u4e0d\u4f1a\u663e\u793a<\/strong><\/p>\n<h2 id=\"demo1-hello-world\">demo1: Hello World!<\/h2>\n<p>\u73b0\u5728\u518d\u6765\u770b\u521a\u521a\u7684demo\uff1a<\/p>\n<div class=\"admonition shadow-sm admonition-info\">\n<div class=\"admonition-title\">\u6ce8\u610f<\/div>\n<div class=\"admonition-body\"><code>%<\/code>\u540e\u7684\u5185\u5bb9\u4e3a\u6ce8\u91ca\uff0c\u4ec5\u4f5c\u89e3\u91ca\u8bf4\u660e\u4f7f\u7528<\/div>\n<\/div>\n<pre><code><span class=\"hljs-comment\">%\u5bfc\u8a00\u533a<\/span>\n\n<span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart} <span class=\"hljs-comment\">%\u8bf4\u660e\u672c\u6587\u91c7\u7528UTF8\u7f16\u7801, 10pt\u5b57\u53f7, a4\u7eb8, oneside\u5355\u9762\u6253\u5370\uff0c\u6587\u7ae0\u7c7b\u578b\u4e3actexart<\/span>\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry} <span class=\"hljs-comment\">%\u5f15\u7528geometry\u5b8f\u5305<\/span>\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm} <span class=\"hljs-comment\">%\u4f7f\u7528geometry\u5b8f\u5305\u6539\u9875\u8fb9\u8ddd\uff08\u4e0a\u5de6\u53f3\u54041.27cm\uff0c\u4e0b1.5cm\uff09<\/span>\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5} <span class=\"hljs-comment\">%\u884c\u8ddd\u4e3a1.5<\/span>\n\n<span class=\"hljs-keyword\">\\title<\/span>{Hello World} <span class=\"hljs-comment\">%\u6807\u9898<\/span>\n<span class=\"hljs-keyword\">\\author<\/span>{Myself} <span class=\"hljs-comment\">%\u4f5c\u8005<\/span>\n<span class=\"hljs-keyword\">\\date<\/span>{<span class=\"hljs-keyword\">\\today<\/span>} <span class=\"hljs-comment\">%\u65f6\u95f4<\/span>\n\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain} <span class=\"hljs-comment\">%\u6587\u7ae0\u6837\u5f0f<\/span>\n\n<span class=\"hljs-comment\">%\u6b63\u6587\u533a<\/span>\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n<span class=\"hljs-keyword\">\\maketitle<\/span> <span class=\"hljs-comment\">%\u628a\u521a\u521a\u7684\u6807\u9898\u3001\u4f5c\u8005\u3001\u65f6\u95f4\u7b49\u4fe1\u606f\u663e\u793a\u51fa\u6765<\/span>\n\nHello World!\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/11\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-11-23-184759.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/11\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-11-23-184759.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"hello world\u5c0fdemo\"\/><\/div><\/p>\n<h1 id=\"\u6b63\u6587\u533a\">\u6b63\u6587\u533a<\/h1>\n<h2 id=\"\u57fa\u672c\">\u57fa\u672c<\/h2>\n<h3 id=\"\u6362\u884c\u56de\u8f66\">\u6362\u884c\/\u56de\u8f66<\/h3>\n<p>\u5728\u6b63\u6587\u533a\uff0c\u5c31\u50cf\u4f7f\u7528\u4efb\u4f55\u6587\u672c\u7f16\u8f91\u5668\u4e00\u6837\uff0c\u8f93\u5165\u4f60\u7684\u5185\u5bb9\u5373\u53ef\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5728LaTeX\u4e2d\uff0c\u5206\u9694\u6bb5\u843d\uff08\u786c\u56de\u8f66\uff09\u9700\u8981\u4f7f\u6bb5\u843d\u548c\u6bb5\u843d\u4e4b\u95f4\u7a7a\u4e00\u884c\uff08\u5c31\u662f\u6572\u4e24\u6b21\u56de\u8f66\uff09<span class='argon-hidden-text argon-hidden-text-blur'>\u56de\u8f66\u7684\u591a\u5c11\u4e0d\u4f1a\u5f71\u54cd\u6700\u7ec8\u7f16\u8bd1\u540e\u7684\u6362\u884c\u6570\uff0c\u6bd4\u5982\u6211\u5728\u4e24\u6bb5\u4e4b\u95f4\u6572\u4e86\u5341\u4e2a\u56de\u8f66\uff0c\u90a3\u4e48\u5728\u6700\u7ec8\u7f16\u8bd1\u51fa\u6765\u7684pdf\u4e2d\u4e5f\u53ea\u4f1a\u6362\u4e00\u884c<\/span>\uff0c\u4f1a\u81ea\u52a8\u52a0\u4e0a\u6bb5\u9996\u7f29\u8fdb\uff1b\u5982\u679c\u4f60\u53ea\u662f\u60f3\u63d0\u884c\uff08\u8f6f\u56de\u8f66\/\u6bb5\u5185\u63d0\u884c\uff09\uff0c\u5c31\u53ef\u4ee5\u7528<code>\\\\<\/code>\u5c06\u524d\u540e\u5206\u9694\u5f00\u6765\uff0c\u8fd9\u6837\u7684\u8bdd\u5c31\u4e0d\u4f1a\u88ab\u8ba4\u4e3a\u662f\u4e24\u4e2a\u6bb5\u843d\uff0c\u5e76\u4e14\u6ca1\u6709\u6bb5\u9996\u7f29\u8fdb\u3002<\/p>\n<h4 id=\"demo2-\u786c\u56de\u8f66\u4e0e\u8f6f\u56de\u8f66\">demo2: \u786c\u56de\u8f66\u4e0e\u8f6f\u56de\u8f66<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n\u6211\u662f\u7b2c\u4e00\u6bb5\u3002\u4f60\u8bf4\u5f97\u5bf9\uff0c\u4f46\u662f\u539f\u795e\uff08Genshin Impact\uff09\u662f\u4e00\u6b3e\u7531 miHoYo \u5f00\u53d1\u7684\u5f00\u653e\u4e16\u754c\u52a8\u4f5c\u89d2\u8272\u626e\u6f14\u6e38\u620f\u3002\u73a9\u5bb6\u5728\u6e38\u620f\u4e2d\u626e\u6f14\u4e00\u540d\u795e\u79d8\u7684\u65c5\u4eba\uff0c\u63a2\u7d22\u4e00\u4e2a\u540d\u4e3a\u63d0\u74e6\u7279\u7684\u5e7b\u60f3\u4e16\u754c\u3002\u6e38\u620f\u4e2d\u6709\u4e30\u5bcc\u7684\u5730\u56fe\u3001\u89d2\u8272\u3001\u5267\u60c5\u548c\u4efb\u52a1\uff0c\u73a9\u5bb6\u53ef\u4ee5\u81ea\u7531\u63a2\u7d22\u548c\u6218\u6597\u3002<span class=\"hljs-comment\">%\u6bb5\u95f4\u63d0\u884c\/\u786c\u56de\u8f66<\/span>\n\n\u6211\u662f\u7b2c\u4e8c\u6bb5\u3002\u4f60\u8bf4\u5f97\u5bf9\uff0c\u4f46\u662f\u539f\u795e\uff08Genshin Impact\uff09\u662f\u4e00\u6b3e\u7531 miHoYo \u5f00\u53d1\u7684\u5f00\u653e\u4e16\u754c\u52a8\u4f5c\u89d2\u8272\u626e\u6f14\u6e38\u620f\u3002\u73a9\u5bb6\u5728\u6e38\u620f\u4e2d\u626e\u6f14\u4e00\u540d\u795e\u79d8\u7684\u65c5\u4eba\uff0c\u63a2\u7d22\u4e00\u4e2a\u540d\u4e3a\u63d0\u74e6\u7279\u7684\u5e7b\u60f3\u4e16\u754c\u3002\u6e38\u620f\u4e2d\u6709\u4e30\u5bcc\u7684\u5730\u56fe\u3001\u89d2\u8272\u3001\u5267\u60c5\u548c\u4efb\u52a1\uff0c\u73a9\u5bb6\u53ef\u4ee5\u81ea\u7531\u63a2\u7d22\u548c\u6218\u6597\u3002<span class=\"hljs-comment\">%\u6362\u884c\u7684\u591a\u5c11\u4e0d\u4f1a\u5f71\u54cd\u7f16\u8bd1\u7ed3\u679c<\/span>\n\n\u6211\u662f\u7b2c\u4e09\u6bb5\u3002\u4f60\u8bf4\u5f97\u5bf9\uff0c\u4f46\u662f\u539f\u795e\uff08Genshin Impact\uff09\u662f\u4e00\u6b3e\u7531 miHoYo \u5f00\u53d1\u7684\u5f00\u653e\u4e16\u754c\u52a8\u4f5c\u89d2\u8272\u626e\u6f14\u6e38\u620f\u3002\u73a9\u5bb6\u5728\u6e38\u620f\u4e2d\u626e<span class=\"hljs-keyword\">\\\\<\/span><span class=\"hljs-comment\">%\u6bb5\u5185\u63d0\u884c\/\u8f6f\u56de\u8f66<\/span>\n\u6f14\u4e00\u540d\u795e\u79d8\u7684\u65c5\u4eba\uff0c\u63a2\u7d22\u4e00\u4e2a\u540d\u4e3a\u63d0\u74e6\u7279<span class=\"hljs-keyword\">\\\\<\/span>\u7684\u5e7b\u60f3\u4e16\u754c\u3002\u6e38\u620f\u4e2d\u6709\u4e30\u5bcc\u7684\u5730\u56fe\u3001\u89d2\u8272\u3001\u5267\u60c5\u548c\u4efb\u52a1\uff0c\u73a9\u5bb6\u53ef\u4ee5\u81ea\u7531\u63a2\u7d22\u548c\u6218\u6597\u3002\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/11\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-11-30-224220.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/11\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-11-30-224220.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"demo2\"\/><\/div><\/p>\n<h3 id=\"\u6bb5\u843d\u5c42\u6b21\u7ae0\u8282\u6846\u76ee\">\u6bb5\u843d\u5c42\u6b21\uff1a\u7ae0\/\u8282\/\u6846\/\u76ee<\/h3>\n<p>\u5206\u522b\u7528<code>\\section{TITLE}<\/code>\u3001<code>\\subsection{TITLE}<\/code>\u3001<code>\\subsubsection{TITLE}<\/code>\u6765\u5c55\u793a\u6807\u9898\u95f4\u7684\u5c42\u7ea7\u5173\u7cfb\uff0c\u4f1a\u81ea\u52a8\u7f16\u53f7\u3002<\/p>\n<p>\u5982\u679c\u4e0d\u60f3\u770b\u5230\u7f16\u53f7\uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528<code>\\section*{TITLE}<\/code>\u3001<code>\\subsection*{TITLE}<\/code>\u3001<code>\\subsubsection*{TITLE}<\/code>\u3002<\/p>\n<h4 id=\"demo3-\u7ae0\u8282\u6846\u76ee\">demo3: \u7ae0\/\u8282\/\u6846\/\u76ee<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n<span class=\"hljs-keyword\">\\section<\/span>*{\u65e0\u7f16\u53f7\u7684\u4e00\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsection<\/span>*{\u65e0\u7f16\u53f7\u7684\u4e8c\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>*{\u65e0\u7f16\u53f7\u7684\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\section<\/span>{\u4e00\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsection<\/span>{\u4e8c\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsection<\/span>{\u4e8c\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\section<\/span>{\u4e00\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\section<\/span>{\u4e00\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsection<\/span>{\u4e8c\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\section<\/span>{\u4e00\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\subsubsection<\/span>{\u4e09\u7ea7\u6807\u9898}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/674b2cedd0e0a243d4db7e13.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/674b2cedd0e0a243d4db7e13.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/p>\n<h3 id=\"\u52a0\u7c97\u659c\u4f53\u4e0b\u5212\u7ebf\u5220\u9664\u7ebf\u6ce2\u6d6a\u7ebf\">\u52a0\u7c97\/\u659c\u4f53\/\u4e0b\u5212\u7ebf\/\u5220\u9664\u7ebf\/\u6ce2\u6d6a\u7ebf<\/h3>\n<p>\u5728\u6587\u672c\u73af\u5883\u4e2d\uff0c\u52a0\u7c97\u53ef\u4ee5\u4f7f\u7528\uff1a<\/p>\n<pre><code>\\textbf{\u52a0\u7c97\uff08bold\uff09\u7684\u6587\u672c}\n<\/code><\/pre>\n<p><a href=\"#%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F\">\u6570\u5b66\u73af\u5883<\/a>\u4e2d\uff0c\u4e3a\u4e86\u65e2\u4fdd\u7559\u659c\u4f53\u53c8\u52a0\u7c97\uff0c\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/lucas2011.top\/index.php\/archives\/544\">bm<\/a>\u5b8f\u5305\uff1a<\/p>\n<pre><code>$\\bm{a}$\n<\/code><\/pre>\n<p>\u5728\u6587\u672c\u73af\u5883\u4e2d\uff0c\u659c\u4f53\u53ef\u4ee5\u4f7f\u7528\uff1a<\/p>\n<pre><code>\\textit{\u659c\u4f53\uff08ltalic\uff09\u7684\u6587\u672c}\n<\/code><\/pre>\n<p>\u6570\u5b66\u73af\u5883\u4e2d\uff0c\u5b57\u4f53\u9ed8\u8ba4\u5c31\u662f\u659c\u4f53\u3002<\/p>\n<p>\u4e0b\u5212\u7ebf\u53ef\u4ee5\u4f7f\u7528LaTeX\u81ea\u5e26\u7684\uff1a<code>\\underbar{$\\LaTeX$\u81ea\u5e26\u4e0b\u5212\u7ebf}<\/code><\/p>\n<p>\u4f46\u662f\u6b64\u5904\u63a8\u8350\u4e00\u4e2a\u6548\u679c\u66f4\u597d\u7684\u547d\u4ee4\uff0c\u4f7f\u7528<a href=\"https:\/\/lucas2011.top\/index.php\/archives\/544\">ulem<\/a>\u5b8f\u5305\uff1a<\/p>\n<pre><code>\\uline{\u5355\u4e0b\u5212\u7ebf\u6587\u672c}\n<\/code><\/pre>\n<p>\u6b64\u5b8f\u5305\u8fd8\u63d0\u4f9b\u5176\u4ed6\u547d\u4ee4\uff1a<\/p>\n<pre><code>\\dashuline{\u865a\u7ebf\u4e0b\u5212\u7ebf\u6587\u672c}\n\n\\dotuline{\u70b9\u72b6\u4e0b\u5212\u7ebf\u6587\u672c}\n\n\\uwave{\u4e0b\u6ce2\u6d6a\u7ebf\u6587\u672c}\n\n\\uuline{\u53cc\u4e0b\u5212\u7ebf\u6587\u672c}\n\n\\sout{\u4e2d\u5220\u9664\u7ebf\u6587\u672c}\n\n\\xout{\u5bf9\u89d2\u7ebf\u5220\u9664\u7ebf\u6587\u672c}\n<\/code><\/pre>\n<h4 id=\"demo4-\u52a0\u7c97\u659c\u4f53\u4e0b\u5212\u7ebf\u5220\u9664\u7ebf\u6ce2\u6d6a\u7ebf\">demo4: \u52a0\u7c97\/\u659c\u4f53\/\u4e0b\u5212\u7ebf\/\u5220\u9664\u7ebf\/\u6ce2\u6d6a\u7ebf<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{bm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{ulem}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n<span class=\"hljs-keyword\">\\textbf<\/span>{\u52a0\u7c97\uff08bold\uff09\u7684\u6587\u672c}\n\n<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\bm<\/span>{bold}plain<span class=\"hljs-built_in\">$<\/span>\n\n<span class=\"hljs-keyword\">\\textit<\/span>{\u659c\u4f53\uff08ltalic\uff09\u7684\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\underbar<\/span>{<span class=\"hljs-keyword\">\\LaTeX<\/span> \u81ea\u5e26\u4e0b\u5212\u7ebf}\n\n<span class=\"hljs-keyword\">\\uline<\/span>{\u5355\u4e0b\u5212\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\dashuline<\/span>{\u865a\u7ebf\u4e0b\u5212\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\dotuline<\/span>{\u70b9\u72b6\u4e0b\u5212\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\uwave<\/span>{\u4e0b\u6ce2\u6d6a\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\uuline<\/span>{\u53cc\u4e0b\u5212\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\sout<\/span>{\u4e2d\u5220\u9664\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\xout<\/span>{\u5bf9\u89d2\u7ebf\u5220\u9664\u7ebf\u6587\u672c}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/674b350dd0e0a243d4db7fc1.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/674b350dd0e0a243d4db7fc1.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/p>\n<h3 id=\"\u63d2\u5165\u6a2a\u5411\u7eb5\u5411\u7a7a\u767d\u7f29\u8fdb\u884c\u8ddd\">\u63d2\u5165\u6a2a\u5411\/\u7eb5\u5411\u7a7a\u767d\uff08\u7f29\u8fdb\/\u884c\u8ddd\uff09<\/h3>\n<p>\u5728LaTeX\u4e2d\uff0c\u75af\u72c2\u6572\u7a7a\u683c\u6216\u8005\u56de\u8f66\u662f\u65e0\u6cd5\u63d2\u5165\u7a7a\u767d\u7684\uff0c\u4f60\u53ef\u4ee5\u91c7\u7528<code>\\quad<\/code>\u6216\u8005<code>\\qquad<\/code>\uff0c\u540e\u8005\u6bd4\u524d\u8005\u7a7a\u7684\u66f4\u591a\u3002\u5f53\u63d2\u5165\u7684\u7a7a\u767d\u8fc7\u591a\u65f6\u7528\u4e0a\u8ff0\u529e\u6cd5\u5c31\u4f1a\u4f7f\u4ee3\u7801\u4e2d\u5145\u65a5\u7740<code>\\quad<\/code>\uff0c\u5f88\u4e0d\u7f8e\u89c2\uff0c\u53ef\u4ee5\u7528<code>\\hspace{l}<\/code>\/<code>\\vspace{l}<\/code>\u6765\u63d2\u5165\u4e00\u5b9a\u957f\u5ea6\u6a2a\u5411\/\u7eb5\u5411\u7a7a\u767d\uff0c\u5176\u4e2d<code>l<\/code>\u5c31\u662f\u4f60\u60f3\u8981\u589e\u52a0\/\u51cf\u5c11\u7a7a\u767d\u7684\u503c\uff08\u662f\u7684\uff0c<code>l<\/code>\u53ef\u4ee5\u4e3a\u8d1f\uff09\uff0c\u901a\u5e38\u7528\u6765\u505a\u7f29\u8fdb\/\u884c\u8ddd\u7684\u5c40\u90e8\u7cbe\u7ec6\u7684\u5fae\u8c03\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5bf9\u4e8e<code>\\vspace{l}<\/code>\uff0c\u653e\u5728\u6bb5\u9996\u5c31\u662f\u8c03\u6574\u4e0e\u4e0a\u4e00\u6bb5\u7684\u884c\u8ddd\uff0c\u653e\u5728\u6bb5\u5c3e\u5c31\u662f\u8c03\u6574\u4e0e\u4e0b\u4e00\u6bb5\u7684\u884c\u8ddd\u3002<\/p>\n<p>\u5728LaTeX\u4e2d\uff0c\u63a5\u53d7\u4ee5\u4e0b\u5355\u4f4d\uff1a\uff08<strong>\u52a0\u7c97<\/strong>\u7684\u4e3a\u63a8\u8350\u4f7f\u7528\u7684\u5355\u4f4d\uff09<\/p>\n<table>\n<thead>\n<tr>\n<th>\u5355\u4f4d<\/th>\n<th>\u542b\u4e49<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>cm<\/strong><\/td>\n<td>\u5398\u7c73<\/td>\n<\/tr>\n<tr>\n<td><strong>mm<\/strong><\/td>\n<td>\u6beb\u7c73<\/td>\n<\/tr>\n<tr>\n<td><strong>pt<\/strong><\/td>\n<td>\u70b9\uff081\u70b9=1\/72\u82f1\u5bf8\uff09<\/td>\n<\/tr>\n<tr>\n<td><strong>em<\/strong><\/td>\n<td>\u5f53\u524d\u5b57\u4f53\u5c0f\u5199\u201cm\u201d\u7684\u5bbd\u5ea6<\/td>\n<\/tr>\n<tr>\n<td>ex<\/td>\n<td>\u5f53\u524d\u5b57\u4f53\u5c0f\u5199\u5b57\u6bcd\u201cx\u201d\u7684\u9ad8\u5ea6<\/td>\n<\/tr>\n<tr>\n<td>bp<\/td>\n<td>\u5927\u70b9\uff081\u5927\u70b9=1\/72.27\u82f1\u5bf8\uff09<\/td>\n<\/tr>\n<tr>\n<td>dd<\/td>\n<td>Didot\u70b9\uff081Didot\u70b9=1.07\u5927\u70b9\uff09<\/td>\n<\/tr>\n<tr>\n<td>cc<\/td>\n<td>Cicero\uff081Cicero=12Didot\u70b9\uff09<\/td>\n<\/tr>\n<tr>\n<td>pc<\/td>\n<td>\u6d3e\u5361\uff081\u6d3e\u5361=12\u70b9\uff09<\/td>\n<\/tr>\n<tr>\n<td>in<\/td>\n<td>\u82f1\u5bf8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6bd4\u5982\uff0c<code>\\vspace{2em}<\/code>\u3001<code>\\hspace{0.5em}<\/code>\u3001<code>\\vspace{-1em}<\/code>\u3001<code>\\vspace{5cm}<\/code><\/p>\n<p>\u5f3a\u70c8\u5efa\u8bae\u5728\u5fae\u8c03\u884c\u8ddd\u65f6\u7528<code>em<\/code>\u4f5c\u4e3a\u5355\u4f4d\uff0c\u627e\u627e\u611f\u89c9\u5f88\u5feb\u5c31\u53ef\u4ee5\u8c03\u7684\u5f88\u7f8e\u89c2\u3002<\/p>\n<p>\u60f3\u8981\u6279\u91cf\u8c03\u6574\u4e00\u957f\u6bb5\u7684\u7f29\u8fdb\u600e\u4e48\u529e\uff1f\u5efa\u8bae\u4f7f\u7528<a href=\"https:\/\/lucas2011.top\/index.php\/archives\/544\">changepage<\/a>\u5b8f\u5305\u4e2d\u7684<code>adjustwidth<\/code>\u73af\u5883\u3002<\/p>\n<h4 id=\"demo5-\u63d2\u5165\u6a2a\u5411\u7eb5\u5411\u7a7a\u767d\">demo5: \u63d2\u5165\u6a2a\u5411\/\u7eb5\u5411\u7a7a\u767d<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n\u672c\u6587\u6863\u5b57\u4f53\u5927\u5c0f\u4e3a10pt\u3002\n\n\u7a7a<span class=\"hljs-keyword\">\\quad<\/span> \u683c\uff0c\u7a7a<span class=\"hljs-keyword\">\\qquad<\/span> \u683c\uff0c\u7a7a<span class=\"hljs-keyword\">\\hspace<\/span>{3em}\u683c\u3002\n\n\u4ee5\u4e0b\u662f\u4e00\u4e2a+2em\u7684\u884c\u95f4\u8ddd\uff1a\n\n<span class=\"hljs-keyword\">\\vspace<\/span>{2em}\n\n\u7ed3\u675f\u3002\n\n\u4ee5\u4e0b\u662f\u4e00\u4e2a-0.5em\u7684\u884c\u95f4\u8ddd\uff1a\n\n<span class=\"hljs-keyword\">\\vspace<\/span>{-0.5em}\n\n\u7ed3\u675f\u3002\n\n\u4ee5\u4e0b\u662f\u4e00\u4e2a3cm\u7684\u884c\u95f4\u8ddd\uff1a\n\n<span class=\"hljs-keyword\">\\vspace<\/span>{3cm}\n\n\u7ed3\u675f\u3002\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/674b3c9cd0e0a243d4db8178.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/674b3c9cd0e0a243d4db8178.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/p>\n<h2 id=\"\u6570\u5b66\u5185\u5bb9\">\u6570\u5b66\u5185\u5bb9<\/h2>\n<h3 id=\"\u6570\u5b66\u516c\u5f0f\">\u6570\u5b66\u516c\u5f0f<\/h3>\n<p>\u8981\u6253\u51fa\u6570\u5b66\u516c\u5f0f\uff0c\u5c31\u5fc5\u987b\u5728\u6570\u5b66\u73af\u5883\u4e2d\u3002\u6700\u5e38\u89c1\u7684\u884c\u5185\u6570\u5b66\u73af\u5883\uff08inline\uff09\u662f\u7528<code>$<\/code>\u5305\u88f9\uff08\u6216\u7528<code>\\(<\/code>\u548c<code>\\)<\/code>\uff09\uff0c\u6bd4\u5982<code>$F=ma$<\/code>\uff0c\u8fd9\u6837\u505a\u4f1a\u5728\u6587\u672c\u4e2d\u5d4c\u5165\u4e00\u4e2a\u6570\u5b66\u73af\u5883\uff08\u4e0d\u5355\u72ec\u6210\u884c\uff09\uff1b\u5982\u679c\u60f3\u63d2\u5165\u4e00\u4e2a\u5355\u72ec\u6210\u6bb5\u7684\u6570\u5b66\u516c\u5f0f\uff08display\uff09\u53ef\u4ee5\u7528<code>\\[<\/code>\u548c<code>\\]<\/code>\u5305\u88f9\uff08\u6216\u5728\u4e24\u5934\u5206\u522b\u52a0\u4e0a<code>$$<\/code>\uff09\uff0c\u5982\uff1a<\/p>\n<pre><code>\\[\n    E=mc^2\n\\]\n<\/code><\/pre>\n<p>\u5bf9\u4e8e\u884c\u5185\u516c\u5f0f\u5efa\u8bae\u4f7f\u7528<code>$<\/code>\u5305\u88f9\uff0c\u884c\u95f4\u516c\u5f0f\u7528<code>\\[<\/code>\u548c<code>\\]<\/code>\u5305\u88f9\uff0c\u867d\u7136\u5b83\u4eec\u7684\u6548\u679c\u5927\u5dee\u4e0d\u5dee\u3002<\/p>\n<div class='admonition shadow-sm admonition-grey'>\n<div class='admonition-title'>\u4fe1\u606f<\/div>\n<div class='admonition-body'>\u533a\u522b\uff1a\u7528\u53cc\u7f8e\u5143\u7b26\u53f7\u5305\u88f9\u7684\u884c\u95f4\u516c\u5f0f\u4e0d\u542camsmath\u5b8f\u5305fleqn\u53c2\u6570\u7684\u8c03\u5ea6\uff0c\u5e76\u4e14\u82e5\u5176\u5b58\u5728\u5728\u8bc1\u660e\u73af\u5883\u7684\u6700\u540e\u4e00\u884c\uff0c\u5c06\u65e0\u6cd5\u6b63\u786e\u7684\u5c06\u8bc1\u6bd5\u7b26\u53f7\u79fb\u81f3\u672b\u5c3e\u3002<\/div>\n<\/div>\n<p>\u5728\u6570\u5b66\u73af\u5883\u4e2d\uff0c<strong>\u4e0d\u80fd\u76f4\u63a5\u8f93\u5165\u6c49\u5b57\uff01\uff01<\/strong> \u8981\u60f3\u8f93\u5165\u6c49\u5b57\uff0c\u9700\u8981<code>amstext<\/code>\u5b8f\u5305\u7684<code>\\text{abc\u6c49\u5b57}<\/code><span class='argon-hidden-text argon-hidden-text-blur'>\uff08\u5176\u5b9e\u4e5f\u53ef\u4ee5\u7528<code>\\mbox{abc\u6c49\u5b57}<\/code>\uff0c\u4f46\u662fmbox\u4e0d\u80fd\u81ea\u52a8\u8c03\u6574\u5b57\u53f7\u5927\u5c0f\uff0c\u5c31\u4f1a\u5bfc\u81f4\u4e0b\u6807\u4ec0\u4e48\u7684\u5f88\u5927\uff0c\u4e11\uff09<\/span>\uff0c\u5426\u5219\u4f1a\u62a5\u9519\u3002<\/p>\n<h4 id=\"demo6-\u884c\u5185\u6570\u5b66\u548c\u884c\u95f4\u6570\u5b66\">demo6: \u884c\u5185\u6570\u5b66\u548c\u884c\u95f4\u6570\u5b66<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\title<\/span>{<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}title<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}}\n<span class=\"hljs-keyword\">\\author<\/span>{}\n<span class=\"hljs-keyword\">\\date<\/span>{}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n\u8d28\u80fd\u65b9\u7a0b<span class=\"hljs-built_in\">$<\/span>E=mc<span class=\"hljs-built_in\">^<\/span>2<span class=\"hljs-built_in\">$<\/span>\uff0cE\u8868\u793a\u80fd\u91cf\uff0cm\u4ee3\u8868\u8d28\u91cf\uff0c\u800cc\u5219\u8868\u793a\u5149\u901f\uff08\u5e38\u91cf\uff0cc=299792458m\/s\uff09\u3002\u7531\u963f\u5c14\u4f2f\u7279\u00b7\u7231\u56e0\u65af\u5766\u63d0\u51fa\u3002\u8be5\u65b9\u7a0b\u4e3b\u8981\u7528\u6765\u89e3\u91ca\u6838\u53d8\u53cd\u5e94\u4e2d\u7684\u8d28\u91cf\u4e8f\u635f\u548c\u8ba1\u7b97\u9ad8\u80fd\u7269\u7406\u4e2d\u7c92\u5b50\u7684\u80fd\u91cf\u3002\u8fd9\u4e5f\u5bfc\u81f4\u4e86\u5fb7\u5e03\u7f57\u610f\u6ce2\u548c\u6ce2\u52a8\u529b\u5b66\u7684\u8bde\u751f\u3002\n\n\u6b63\u6001\u5206\u5e03\uff08normal distribution\uff09\uff0c\u7269\u7406\u5b66\u4e2d\u901a\u79f0\u9ad8\u65af\u5206\u5e03\uff08Gaussian distribution\uff09\uff0c\u662f\u4e00\u4e2a\u975e\u5e38\u5e38\u89c1\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u6b63\u6001\u5206\u5e03\u5728\u7edf\u8ba1\u5b66\u4e0a\u5341\u5206\u91cd\u8981\uff0c\u7ecf\u5e38\u7528\u5728\u81ea\u7136\u548c\u793e\u4f1a\u79d1\u5b66\u6765\u4ee3\u8868\u4e00\u4e2a\u4e0d\u660e\u7684\u968f\u673a\u53d8\u91cf\u3002\n\n\u82e5\u968f\u673a\u53d8\u91cf<span class=\"hljs-built_in\">$<\/span>X<span class=\"hljs-built_in\">$<\/span>\u670d\u4ece\u4e00\u4e2a\u5e73\u5747\u6570\u4e3a<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\mu<\/span><span class=\"hljs-built_in\">$<\/span>\u3001\u6807\u51c6\u5dee\u4e3a<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\sigma<\/span><span class=\"hljs-built_in\">$<\/span>\u7684\u6b63\u6001\u5206\u5e03\uff0c\u5219\u8bb0\u4e3a\uff1a\n\n<span class=\"hljs-keyword\">\\[<\/span>\n    X <span class=\"hljs-keyword\">\\sim<\/span> (<span class=\"hljs-keyword\">\\mu<\/span>, <span class=\"hljs-keyword\">\\sigma<\/span><span class=\"hljs-built_in\">^<\/span>2)\n<span class=\"hljs-keyword\">\\]<\/span>\n\n\u5219\u5176\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u4e3a\uff1a\n\n<span class=\"hljs-keyword\">\\[<\/span>\n    f(x)=<span class=\"hljs-keyword\">\\dfrac<\/span>{1}{<span class=\"hljs-keyword\">\\sigma<\/span><span class=\"hljs-keyword\">\\sqrt<\/span>{2<span class=\"hljs-keyword\">\\pi<\/span>}}e<span class=\"hljs-built_in\">^<\/span>{-<span class=\"hljs-keyword\">\\dfrac<\/span>{(x-<span class=\"hljs-keyword\">\\mu<\/span>)<span class=\"hljs-built_in\">^<\/span>2}{2<span class=\"hljs-keyword\">\\sigma<\/span><span class=\"hljs-built_in\">^<\/span>2}}\n<span class=\"hljs-keyword\">\\]<\/span>\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/67668364d0e0a243d4e7ae4d.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/67668364d0e0a243d4e7ae4d.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"alt text\"\/><\/div><\/p>\n<h3 id=\"\u5e38\u7528\u7b26\u53f7\u53ca\u547d\u4ee4\">\u5e38\u7528\u7b26\u53f7\u53ca\u547d\u4ee4<\/h3>\n<div class='collapse-block shadow-sm collapse-block-transparent collapsed hide-border-left'>\n<div class='collapse-block-title'><span class='collapse-block-title-inner'>\u5c55\u5f00<\/span><i class='collapse-icon fa fa-angle-down'><\/i><\/div>\n<div class='collapse-block-body' style='display:none;'>\n<p>\u4e58\u53f7\uff08\u53c9\u4e58\uff09:  <code>\\times<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u00d7<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\times<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u00d7<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e58\u53f7\uff08\u6570\u91cf\u79ef\/\u70b9\u4e58\uff09\uff1a <code>\\cdot<\/code>  <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u22c5<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cdot<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.44445em;vertical-align:0em;\"><\/span><span class=\"mord\">\u22c5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u9664\u53f7\uff1a <code>\\div<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u00f7<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\div<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u00f7<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5f00\u65b9\/N\u6b21\u65b9\u6839\uff1a <code>\\sqrt[N]{ABC}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mroot><mrow><mi>A<\/mi><mi>B<\/mi><mi>C<\/mi><\/mrow><mi>N<\/mi><\/mroot><\/mrow><annotation encoding=\"application\/x-tex\">\\sqrt[N]{ABC}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.04em;vertical-align:-0.11333499999999996em;\"><\/span><span class=\"mord sqrt\"><span class=\"root\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.829663em;\"><span style=\"top:-2.987998em;\"><span class=\"pstrut\" style=\"height:2.5em;\"><\/span><span class=\"sizing reset-size6 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.10903em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9266650000000001em;\"><span class=\"svg-align\" style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\" style=\"padding-left:0.833em;\"><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">BC<\/span><\/span><\/span><span style=\"top:-2.886665em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"hide-tail\" style=\"min-width:0.853em;height:1.08em;\"><svg width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z'\/><\/svg><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.11333499999999996em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e58\u65b9\/N\u6b21\u5e42\uff1a <code>A^N<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>A<\/mi><mi>N<\/mi><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">A^N<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8413309999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8413309999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.10903em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0b\u6807\uff1a <code>A_N<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>A<\/mi><mi>N<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">A_N<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.83333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.32833099999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.10903em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u7ea6\u7b49\u53f7\uff1a <code>\\approx<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2248<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\approx<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.48312em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u2248<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u52a0\u7c97\u7ea6\u7b49\u4e8e\uff1a<code>\\thickapprox<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2248<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\thickapprox<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.48312em;vertical-align:0em;\"><\/span><span class=\"mrel amsrm\">\u2248<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0d\u7b49\u53f7\uff1a <code>\\neq<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo mathvariant=\"normal\">\u2260<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\neq<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"mrel\"><span class=\"mrel\"><span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"rlap\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"inner\"><span class=\"mord\"><span class=\"mrel\">\ue020<\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6052\u7b49\u53f7\/\u5b9a\u4e49\u4e3a\uff1a <code>\\equiv<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2261<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\equiv<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.46375em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u2261<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5927\u4e8e\u53f7\uff1a <code>\\gt<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>&gt;<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\gt<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">&gt;<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5c0f\u4e8e\u53f7\uff1a <code>\\lt<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>&lt;<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\lt<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">&lt;<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5927\u4e8e\u7b49\u4e8e\uff1a <code>\\geq<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2265<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\geq<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.7719400000000001em;vertical-align:-0.13597em;\"><\/span><span class=\"mrel\">\u2265<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5c0f\u4e8e\u7b49\u4e8e\uff1a <code>\\leq<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2264<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\leq<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.7719400000000001em;vertical-align:-0.13597em;\"><\/span><span class=\"mrel\">\u2264<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u8fdc\u5927\u4e8e\uff1a <code>\\gg<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u226b<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\gg<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">\u226b<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u8fdc\u5c0f\u4e8e\uff1a <code>\\ll<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u226a<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\ll<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">\u226a<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6b63\u8d1f\uff1a <code>\\pm<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u00b1<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\pm<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u00b1<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u8d1f\u6b63\uff1a <code>\\mp<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2213<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\mp<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2213<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5782\u76f4\uff1a <code>\\perp<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u22a5<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\perp<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69444em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u22a5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5e73\u884c\uff1a <code>\\parallel<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2225<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\parallel<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mrel\">\u2225<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u89d2\/\u65e0\u6807\u8bb0\u89d2\uff1a <code>\\angle<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69224em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2220<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u89d2\/\u6807\u8bb0\u89d2\uff1a <code>\\measuredangle<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2221<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\measuredangle<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69224em;vertical-align:0em;\"><\/span><span class=\"mord amsrm\">\u2221<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e00\u822c\u5168\u7b49\uff1a <code>\\cong<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2245<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cong<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.589em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u2245<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u76f8\u4f3c\uff1a <code>\\sim<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u223c<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\sim<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u52a0\u7c97\u76f8\u4f3c\uff1a  <code>\\thicksim<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u223c<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\thicksim<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel amsrm\">\u223c<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e09\u89d2\u5f62\uff1a <code>\\triangle<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u25b3<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\triangle<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"mord\">\u25b3<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6b63\u65b9\u5f62\uff1a <code>\\square<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u25a1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\square<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.675em;vertical-align:0em;\"><\/span><span class=\"mord amsrm\">\u25a1<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5706\uff1a <code>\\odot<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2299<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\odot<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2299<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5411\u91cf\uff1a<code>\\overrightarrow{AB}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mover accent=\"true\"><mrow><mi>A<\/mi><mi>B<\/mi><\/mrow><mo stretchy=\"true\">\u2192<\/mo><\/mover><\/mrow><annotation encoding=\"application\/x-tex\">\\overrightarrow{AB}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.20533em;vertical-align:0em;\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.20533em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.05017em;\">B<\/span><\/span><\/span><span class=\"svg-align\" style=\"top:-3.6833299999999998em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"hide-tail\" style=\"height:0.522em;min-width:0.888em;\"><svg width='400em' height='0.522em' viewBox='0 0 400000 522' preserveAspectRatio='xMaxYMin slice'><path d='M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z'\/><\/svg><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5c5e\u4e8e\uff1a <code>\\in<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2208<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\in<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">\u2208<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0d\u5c5e\u4e8e\uff1a <code>\\notin<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo mathvariant=\"normal\">\u2209<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\notin<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mrel\"><span class=\"mord\"><span class=\"mrel\">\u2208<\/span><\/span><span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"llap\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"inner\"><span class=\"mord\"><span class=\"mord\">\/<\/span><span class=\"mspace\" style=\"margin-right:0.05555555555555555em;\"><\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5b50\u96c6\uff1a <code>\\subseteqq<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2ac5<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\subseteqq<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.01166em;vertical-align:-0.25583em;\"><\/span><span class=\"mrel amsrm\">\u2ac5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u771f\u5b50\u96c6\uff1a   <code>\\subsetneqq<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2acb<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\subsetneqq<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.07864em;vertical-align:-0.28481em;\"><\/span><span class=\"mrel amsrm\">\u2acb<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u771f\u5b50\u96c6\/\u76f4\u7ebf\u5728\u5e73\u9762\u4e0a\uff1a <code>\\subset<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2282<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\subset<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\"><\/span><span class=\"mrel\">\u2282<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5e76\u96c6\uff1a <code>\\cup<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u222a<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cup<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4ea4\u96c6\uff1a <code>\\cap<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2229<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cap<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2229<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u8865\u96c6\uff1a <code>\\complement{_U^A}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2201<\/mi><msubsup><mrow><\/mrow><mi>U<\/mi><mi>A<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\complement{_U^A}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.1166619999999998em;vertical-align:-0.275331em;\"><\/span><span class=\"mord amsrm\">\u2201<\/span><span class=\"mord\"><span class=\"mord\"><span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8413309999999999em;\"><span style=\"top:-2.424669em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.10903em;\">U<\/span><\/span><\/span><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.275331em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u56e0\u4e3a\uff1a <code>\\because<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2235<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\because<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69224em;vertical-align:0em;\"><\/span><span class=\"mrel amsrm\">\u2235<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6240\u4ee5\uff1a <code>\\therefore<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2234<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\therefore<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69224em;vertical-align:0em;\"><\/span><span class=\"mrel amsrm\">\u2234<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5b58\u5728\uff1a <code>\\exists<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2203<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\exists<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69444em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2203<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0d\u5b58\u5728\uff1a <code>\\nexists<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2204<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\nexists<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.68889em;vertical-align:0em;\"><\/span><span class=\"mord amsrm\">\u2204<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4efb\u610f\/\u5bf9\u4e8e\u6240\u6709\uff1a <code>\\forall<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2200<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\forall<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.69444em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2200<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u7a7a\u96c6\uff1a <code>\\varnothing<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2205<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\varnothing<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66334em;vertical-align:-0.08167em;\"><\/span><span class=\"mord amsrm\">\u2205<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u903b\u8f91\u6216\uff1a <code>\\cup<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u222a<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cup<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/eq> \u6216  <code>\\lor<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2228<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\lor<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2228<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u903b\u8f91\u4e0e\uff1a <code>\\cap<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2229<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cap<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2229<\/span><\/span><\/span><\/span><\/eq> \u6216  <code>\\land<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2227<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\land<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2227<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u903b\u8f91\u975e\uff1a <code>\\lnot<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u00ac<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\lnot<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"><\/span><span class=\"mord\">\u00ac<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5145\u5206\u6761\u4ef6\/\u53f3\u53cc\u7bad\u5934\uff1a <code>\\Rightarrow<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u21d2<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\Rightarrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u21d2<\/span><\/span><\/span><\/span><\/eq> \u5927\u5c0f\u5199\u654f\u611f<\/p>\n<p>\u5fc5\u8981\u6761\u4ef6\/\u5de6\u53cc\u7bad\u5934\uff1a <code>\\Leftarrow<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u21d0<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\Leftarrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u21d0<\/span><\/span><\/span><\/span><\/eq> \u5927\u5c0f\u5199\u654f\u611f<\/p>\n<p>\u5145\u8981\u6761\u4ef6\/\u53cc\u5411\u53cc\u7bad\u5934\uff1a <code>\\Leftrightarrow<\/code><eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u21d4<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\Leftrightarrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u21d4<\/span><\/span><\/span><\/span><\/eq> \u5927\u5c0f\u5199\u654f\u611f<\/p>\n<p>\u6210\u6b63\u6bd4\uff1a <code>\\propto<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u221d<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\propto<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u221d<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5b9a\u79ef\u5206\uff1a <code>\\int_{a}^{b}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mo>\u222b<\/mo><mi>a<\/mi><mi>b<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\int_{a}^{b}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.399828em;vertical-align:-0.35582em;\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"margin-right:0.19445em;position:relative;top:-0.0005599999999999772em;\">\u222b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.044008em;\"><span style=\"top:-2.34418em;margin-left:-0.19445em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span style=\"top:-3.2579000000000002em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.35582em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u591a\u91cd\u79ef\u5206\uff1a <code>\\iint_{a}^{b}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mo>\u222c<\/mo><mi>a<\/mi><mi>b<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\iint_{a}^{b}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.399708em;vertical-align:-0.3557em;\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"margin-right:0.19445em;position:relative;top:-0.0004999999999999727em;\">\u222c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.044008em;\"><span style=\"top:-2.3443em;margin-left:-0.19445em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span style=\"top:-3.2579000000000002em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3557em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq> \u53ca  <code>\\iiint_{a}^{b}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mo>\u222d<\/mo><mi>a<\/mi><mi>b<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\iiint_{a}^{b}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.399708em;vertical-align:-0.3557em;\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"margin-right:0.19445em;position:relative;top:-0.0004999999999999727em;\">\u222d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.044008em;\"><span style=\"top:-2.3443em;margin-left:-0.19445em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span style=\"top:-3.2579000000000002em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3557em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5bfc\u51fd\u6570\/\u4e0a\u6487\u53f7\uff1a <code>\\prime<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo mathvariant=\"normal\">\u2032<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\prime<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.55556em;vertical-align:0em;\"><\/span><span class=\"mord\">\u2032<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6c42\u548c\uff1a <code>\\sum_{i=1}^{n}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mo>\u2211<\/mo><mrow><mi>i<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>n<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\sum_{i=1}^{n}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.104002em;vertical-align:-0.29971000000000003em;\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position:relative;top:-0.0000050000000000050004em;\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.804292em;\"><span style=\"top:-2.40029em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">=<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span style=\"top:-3.2029em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.29971000000000003em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6c42\u79ef\uff1a <code>\\prod_{i=1}^{n}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mo>\u220f<\/mo><mrow><mi>i<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>n<\/mi><\/msubsup><\/mrow><annotation encoding=\"application\/x-tex\">\\prod_{i=1}^{n}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.104002em;vertical-align:-0.29971000000000003em;\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position:relative;top:-0.0000050000000000050004em;\">\u220f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.804292em;\"><span style=\"top:-2.40029em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">=<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span style=\"top:-3.2029em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.29971000000000003em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5b57\u6bcd\u6570\u4f4d\/\u5e73\u5747\u6570\uff1a <code>\\overline{ABCD}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mover accent=\"true\"><mrow><mi>A<\/mi><mi>B<\/mi><mi>C<\/mi><mi>D<\/mi><\/mrow><mo stretchy=\"true\">\u203e<\/mo><\/mover><\/mrow><annotation encoding=\"application\/x-tex\">\\overline{ABCD}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8833300000000001em;vertical-align:0em;\"><\/span><span class=\"mord overline\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8833300000000001em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">BC<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">D<\/span><\/span><\/span><span style=\"top:-3.80333em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"overline-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6574\u9664\u7b26\u53f7\uff1a <code>\\mid<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2223<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\mid<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mrel\">\u2223<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u65b0\u5b9a\u4e49\u8fd0\u7b97\u7b26\uff1a <code>\\oplus<\/code>  <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2295<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\oplus<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2295<\/span><\/span><\/span><\/span><\/eq> \u53ca  <code>\\otimes<\/code>  <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2297<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\otimes<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2297<\/span><\/span><\/span><\/span><\/eq> \u53ca  <code>\\ominus<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2296<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\ominus<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2296<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u6270\u52a8\u503c\uff1a <code>\\tilde{K}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mover accent=\"true\"><mi>K<\/mi><mo>~<\/mo><\/mover><\/mrow><annotation encoding=\"application\/x-tex\">\\tilde{K}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.9201899999999998em;vertical-align:0em;\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.9201899999999998em;\"><span style=\"top:-3em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">K<\/span><\/span><span style=\"top:-3.6023300000000003em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"accent-body\" style=\"left:-0.19444em;\"><span class=\"mord\">~<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0a\u7bad\u5934\uff1a<code>\\uparrow<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2191<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\uparrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"mrel\">\u2191<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u4e0b\u7bad\u5934\uff1a<code>\\downarrow<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2193<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\downarrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"mrel\">\u2193<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u80fdhold\u4f4f\u4e00\u6574\u5768\u5206\u5f0f\u7684\u5c0f\u62ec\u53f7\uff1a<code>\\left(<\/code> <code>\\right)<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mfrac><mi>a<\/mi><mi>b<\/mi><\/mfrac><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\left( \\dfrac{a}{b} \\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.8359999999999999em;vertical-align:-0.686em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size2\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.10756em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size2\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eq> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u21d4<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\Leftrightarrow<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"><\/span><span class=\"mrel\">\u21d4<\/span><\/span><\/span><\/span><\/eq> hold\u4e0d\u4f4f\u7684<code>()<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mfrac><mi>a<\/mi><mi>b<\/mi><\/mfrac><\/mstyle><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">( \\dfrac{a}{b} )<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.7935600000000003em;vertical-align:-0.686em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.10756em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u65e0\u7a77\u5927\/\u65e0\u9650\uff1a <code>\\infty<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u221e<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\infty<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"><\/span><span class=\"mord\">\u221e<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5706\u5468\u7387\uff1a <code>\\pi<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\pi<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.03588em;\">\u03c0<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u666e\u6717\u514b\u5e38\u6570\uff1a <code>\\hbar<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u210f<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\hbar<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.68889em;vertical-align:0em;\"><\/span><span class=\"mord\">\u210f<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>phi\uff1a<code>\\phi<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03d5<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\phi<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8888799999999999em;vertical-align:-0.19444em;\"><\/span><span class=\"mord mathnormal\">\u03d5<\/span><\/span><\/span><\/span><\/eq> \u6216 <code>\\varphi<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c6<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\varphi<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.625em;vertical-align:-0.19444em;\"><\/span><span class=\"mord mathnormal\">\u03c6<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5e26\u5708\u5708\u7684\u6570\u5b57\uff1a<code>{\\Large{\\textcircled{\\small{1}}}}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mstyle mathsize=\"1.44em\"><mover accent=\"true\"><mstyle mathsize=\"0.9em\"><mn>1<\/mn><\/mstyle><mo>\u25ef<\/mo><\/mover><\/mstyle><\/mrow><annotation encoding=\"application\/x-tex\">\\Large{\\textcircled{\\small{1}}}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.2799871999999999em;vertical-align:0em;\"><\/span><span class=\"mord sizing reset-size6 size8\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8888799999999999em;\"><span style=\"top:-3.44em;\"><span class=\"pstrut\" style=\"height:3.44em;\"><\/span><span class=\"mord\"><span class=\"mord sizing reset-size8 size5\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span style=\"top:-3.63444em;\"><span class=\"pstrut\" style=\"height:3.44em;\"><\/span><span class=\"accent-body accent-full\" style=\"left:0em;top:.2em;\"><span class=\"mord\">\u25ef<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u7f57\u9a6c\u6570\u5b57\uff1a<code>\\uppercase\\expandafter{\\romannumeral8}<\/code><\/p>\n<p>\u5206\u6570\uff1a<code>\\frac{1}{2}=0.5<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>0.5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1}{2}=0.5<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.190108em;vertical-align:-0.345em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.845108em;\"><span style=\"top:-2.6550000000000002em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0.5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5c0f\u578b\u5206\u6570\uff1a<code>\\tfrac{1}{2} = 0.5<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>0.5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\tfrac{1}{2} = 0.5<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.190108em;vertical-align:-0.345em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.845108em;\"><span style=\"top:-2.6550000000000002em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0.5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5927\u578b\u5206\u6570\uff1a<code>\\dfrac{k}{k-1} = 0.5<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mfrac><mi>k<\/mi><mrow><mi>k<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/mfrac><\/mstyle><mo>=<\/mo><mn>0.5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\dfrac{k}{k-1} = 0.5<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:2.14077em;vertical-align:-0.7693300000000001em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.37144em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.03148em;\">k<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.03148em;\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7693300000000001em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0.5<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5927\u5c0f\u578b\u5206\u6570\u5d4c\u5957\uff1a<\/p>\n<p><code>\\dfrac{ \\tfrac{1}{2}[1-(\\tfrac{1}{2})^n] }{ 1-\\tfrac{1}{2} } = s_n<\/code> <\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mstyle displaystyle=\"false\" scriptlevel=\"0\"><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mstyle><mo stretchy=\"false\">[<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mo stretchy=\"false\">(<\/mo><mstyle displaystyle=\"false\" scriptlevel=\"0\"><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mstyle><msup><mo stretchy=\"false\">)<\/mo><mi>n<\/mi><\/msup><mo stretchy=\"false\">]<\/mo><\/mrow><mrow><mn>1<\/mn><mo>\u2212<\/mo><mstyle displaystyle=\"false\" scriptlevel=\"0\"><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mstyle><\/mrow><\/mfrac><mo>=<\/mo><msub><mi>s<\/mi><mi>n<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">\\dfrac{ \\tfrac{1}{2}[1-(\\tfrac{1}{2})^n] }{ 1-\\tfrac{1}{2} } = s_n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:2.660216em;vertical-align:-1.080108em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.580108em;\"><span style=\"top:-2.2648919999999997em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.845108em;\"><span style=\"top:-2.6550000000000002em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.7350000000000003em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.845108em;\"><span style=\"top:-2.6550000000000002em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.845108em;\"><span style=\"top:-2.6550000000000002em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.394em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.664392em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.080108em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.58056em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.151392em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<\/p>\n<p>\u8fde\u7eed\u5206\u6570\uff1a<\/p>\n<pre><code>\\cfrac{2}{ c + \\cfrac{2}{ d + \\cfrac{1}{2} } } = a\n\\qquad\n\\dfrac{2}{ c + \\dfrac{2}{ d + \\dfrac{1}{2} } } = a\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mn>2<\/mn><mrow><mi>c<\/mi><mo>+<\/mo><mfrac><mn>2<\/mn><mrow><mi>d<\/mi><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfrac><\/mrow><\/mfrac><mo>=<\/mo><mi>a<\/mi><mspace width=\"2em\"\/><mfrac><mn>2<\/mn><mrow><mi>c<\/mi><mo>+<\/mo><mfrac><mn>2<\/mn><mrow><mi>d<\/mi><mo>+<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfrac><\/mrow><\/mfrac><mo>=<\/mo><mi>a<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\cfrac{2}{ c + \\cfrac{2}{ d + \\cfrac{1}{2} } } = a\n\\qquad\n\\dfrac{2}{ c + \\dfrac{2}{ d + \\dfrac{1}{2} } } = a\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:5.236em;vertical-align:-3.646em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.5899999999999999em;\"><span style=\"top:-2.11em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.5899999999999999em;\"><span style=\"top:-2.11em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.5899999999999999em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.74em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span><\/span><\/span><\/span><\/span><span style=\"top:-3.82em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-4.33em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.166em;\"><span><\/span><\/span><\/span><\/span><\/span><span><\/span><\/span><\/span><\/span><span style=\"top:-3.82em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-4.33em;\"><span class=\"pstrut\" style=\"height:3.59em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.646em;\"><span><\/span><\/span><\/span><\/span><\/span><span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:4.43032em;vertical-align:-3.10888em;\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right:2em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.32144em;\"><span style=\"top:-2.11em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.32144em;\"><span style=\"top:-2.11em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.32144em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span style=\"top:-3.55144em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.99844em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.89744em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span style=\"top:-3.55144em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.99844em;\"><span class=\"pstrut\" style=\"height:3.32144em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.10888em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u4e8c\u9879\u5f0f\u7cfb\u6570\uff1a<code>\\binom{n}{k}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mfrac linethickness=\"0px\"><mi>n<\/mi><mi>k<\/mi><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\binom{n}{k}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.20001em;vertical-align:-0.35001em;\"><\/span><span class=\"mord\"><span class=\"mopen delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7453919999999999em;\"><span style=\"top:-2.3550000000000004em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.03148em;\">k<\/span><\/span><\/span><\/span><span style=\"top:-3.144em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5c0f\u578b\u4e8c\u9879\u5f0f\u7cfb\u6570\uff1a<code>\\tbinom{n}{k}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mfrac linethickness=\"0px\"><mi>n<\/mi><mi>k<\/mi><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\tbinom{n}{k}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.20001em;vertical-align:-0.35001em;\"><\/span><span class=\"mord\"><span class=\"mopen delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7453919999999999em;\"><span style=\"top:-2.3550000000000004em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.03148em;\">k<\/span><\/span><\/span><\/span><span style=\"top:-3.144em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5927\u578b\u4e8c\u9879\u5f0f\u7cfb\u6570\uff1a<code>\\dbinom{n}{k}<\/code> <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mfrac linethickness=\"0px\"><mi>n<\/mi><mi>k<\/mi><\/mfrac><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\dbinom{n}{k}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:2.40003em;vertical-align:-0.95003em;\"><\/span><span class=\"mord\"><span class=\"mopen delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1075599999999999em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.03148em;\">k<\/span><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<\/div>\n<\/div>\n<h3 id=\"\u516c\u5f0f\u73af\u5883\">\u516c\u5f0f\u73af\u5883<\/h3>\n<p>\u4e3a\u4e86\u8fbe\u5230\u4e00\u7cfb\u5217\u76ee\u7684\uff0c\u6bd4\u5982\u591a\u884c\u516c\u5f0f\u5bf9\u9f50\u3001\u77e9\u9635\u3001\u65b9\u7a0b\u7ec4\u3001\u4e3a\u516c\u5f0f\u7f16\u53f7\u7b49\u9700\u6c42\uff0c\u5c31\u9700\u8981\u7528\u5230\u4e00\u4e9b\u516c\u5f0f\u73af\u5883\u3002\u8fd9\u4e9b\u73af\u5883\u4ee5<code>\\begin{\u73af\u5883\u540d}<\/code>\u5f00\u5934\uff0c<code>\\end{\u73af\u5883\u540d}<\/code>\u7ed3\u5c3e\u3002<\/p>\n<p>\u4e0b\u9762\u6240\u63d0\u5230\u7684\u5927\u591a\u6570\u73af\u5883\u90fd\u81ea\u5e26\u516c\u5f0f\u7f16\u53f7\uff0c\u82e5\u5e0c\u671b\u628a\u516c\u5f0f\u7f16\u53f7\u53bb\u6389\uff0c\u53ef\u4ee5\u7528<code>\\begin{\u73af\u5883\u540d*}<\/code>\u3001<code>\\end{\u73af\u5883\u540d*}<\/code>\u3002\uff08\u4e0b\u9762\u4f1a\u5177\u4f53\u4e3e\u4f8b\uff09<\/p>\n<h4 id=\"equation\u73af\u5883\">equation\u73af\u5883<\/h4>\n<p>\u6700\u7b80\u5355\u7684\u516c\u5f0f\u73af\u5883\uff0c\u5176\u95f4\u53ef\u4ee5\u653e\u4e00\u4e2a\u516c\u5f0f\uff0c\u5e76\u4e3a\u8be5\u516c\u5f0f\u7f16\u53f7\uff0c\u5982\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{equation}\n    E = mc<span class=\"hljs-built_in\">^<\/span>2\n<span class=\"hljs-keyword\">\\end<\/span>{equation}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.1600em\" columnspacing=\"1em\"><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi>E<\/mi><mo>=<\/mo><mi>m<\/mi><msup><mi>c<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\n\\begin{equation}\n    E = mc^2\n\\end{equation}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.224108em;vertical-align:-0.36205399999999993em;\"><\/span><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8620540000000001em;\"><span style=\"top:-2.9979459999999998em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.05764em;\">E<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.36205399999999993em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8620540000000001em;\"><span style=\"top:-2.8620539999999997em;\"><span class=\"pstrut\" style=\"height:2.864108em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.36205399999999993em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<h4 id=\"gather\u73af\u5883\">gather\u73af\u5883<\/h4>\n<p>\u6700\u7b80\u5355\u7684\u591a\u884c\u516c\u5f0f\u73af\u5883\uff0c\u63d0\u4f9b\u6574\u6bb5\u6574\u6bb5\u7684\u6570\u5b66\u73af\u5883\uff0c\u76f8\u5f53\u4e8e\u628a\u8bb8\u591a<code>\\[<\/code>\u548c<code>\\]<\/code>\u5305\u88f9\u7684\u884c\u95f4\u6570\u5b66\u73af\u5883\u8fde\u8d77\u6765\uff0c\uff08\u8fd9\u5728\u5199\u51e0\u4f55\u8bc1\u660e\u9898\u65f6\u5341\u5206\u6709\u7528\uff09\uff0c\u7528<code>\\\\<\/code>\u6362\u884c\uff0c\u4f1a\u4e3a\u6bcf\u4e00\u884c\u7684\u516c\u5f0f\u7f16\u53f7\u3002<\/p>\n<p>\u5176\u7f3a\u7701\u4e3a\u5c45\u4e2d\u5bf9\u9f50\uff0c\u53ef\u4ee5\u901a\u8fc7\u7ed9amsmath\u5b8f\u5305\u4f20\u9012<code>fleqn<\/code>\u53c2\u6570\u6765\u5c06\u5176\u6539\u4e3a\u5de6\u5bf9\u9f50\u3002<\/p>\n<pre><code>\\usepackage[fleqn]{amsmath}\n<\/code><\/pre>\n<p>\u6bd4\u5982\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{gather}\n    <span class=\"hljs-keyword\">\\text<\/span>{\u7531\u9898\u53ef\u77e5\uff1a}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\triangle<\/span> AO<span class=\"hljs-built_in\">_<\/span>2B,<span class=\"hljs-keyword\">\\triangle<\/span> BO<span class=\"hljs-built_in\">_<\/span>1C,<span class=\"hljs-keyword\">\\triangle<\/span> CO<span class=\"hljs-built_in\">_<\/span>3A<span class=\"hljs-keyword\">\\text<\/span>{\u662f\u9876\u89d2\u4e3a<span class=\"hljs-built_in\">$<\/span>120<span class=\"hljs-built_in\">^<\/span><span class=\"hljs-keyword\">\\circ<\/span><span class=\"hljs-built_in\">$<\/span>\u7684\u7b49\u8170\u4e09\u89d2\u5f62}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\text<\/span>{\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\angle<\/span> O<span class=\"hljs-built_in\">_<\/span>3CO<span class=\"hljs-built_in\">_<\/span>2&#x27; = <span class=\"hljs-keyword\">\\angle<\/span> O<span class=\"hljs-built_in\">_<\/span>3AO<span class=\"hljs-built_in\">_<\/span>2 , CO<span class=\"hljs-built_in\">_<\/span>2&#x27; = AO<span class=\"hljs-built_in\">_<\/span>2 , O<span class=\"hljs-built_in\">_<\/span>2O<span class=\"hljs-built_in\">_<\/span>3 = O<span class=\"hljs-built_in\">_<\/span>3O<span class=\"hljs-built_in\">_<\/span>2&#x27;\n<span class=\"hljs-keyword\">\\end<\/span>{gather}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.2500em\" columnalign=\"center\" columnspacing=\"0em\"><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mtext>\u7531\u9898\u53ef\u77e5\uff1a<\/mtext><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi mathvariant=\"normal\">\u25b3<\/mi><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mi>B<\/mi><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u25b3<\/mi><mi>B<\/mi><msub><mi>O<\/mi><mn>1<\/mn><\/msub><mi>C<\/mi><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u25b3<\/mi><mi>C<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>A<\/mi><mrow><mtext>\u662f\u9876\u89d2\u4e3a<\/mtext><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mn>12<\/mn><msup><mn>0<\/mn><mo>\u2218<\/mo><\/msup><\/mstyle><mtext>\u7684\u7b49\u8170\u4e09\u89d2\u5f62<\/mtext><\/mrow><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mtext>\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a<\/mtext><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi mathvariant=\"normal\">\u2220<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>C<\/mi><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><mo>=<\/mo><mi mathvariant=\"normal\">\u2220<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi>C<\/mi><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><mo>=<\/mo><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>O<\/mi><mn>2<\/mn><\/msub><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><msub><mi>O<\/mi><mn>3<\/mn><\/msub><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\\begin{gather}\n    \\text{\u7531\u9898\u53ef\u77e5\uff1a}\\\\\n    \\triangle AO_2B,\\triangle BO_1C,\\triangle CO_3A\\text{\u662f\u9876\u89d2\u4e3a$120^\\circ$\u7684\u7b49\u8170\u4e09\u89d2\u5f62}\\\\\n    \\text{\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a}\\\\\n    \\angle O_3CO_2&#x27; = \\angle O_3AO_2 , CO_2&#x27; = AO_2 , O_2O_3 = O_3O_2&#x27;\n\\end{gather}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:6em;vertical-align:-2.7500000000000004em;\"><\/span><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.25em;\"><span style=\"top:-5.41em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7531\u9898\u53ef\u77e5\uff1a<\/span><\/span><\/span><\/span><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.05017em;\">B<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.05017em;\">B<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u662f\u9876\u89d2\u4e3a<\/span><span class=\"mord\">12<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.674115em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2218<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord cjk_fallback\">\u7684\u7b49\u8170\u4e09\u89d2\u5f62<\/span><\/span><\/span><\/span><span style=\"top:-2.4099999999999993em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a<\/span><\/span><\/span><\/span><span style=\"top:-0.9099999999999997em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2220<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\">\u2220<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.7500000000000004em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.25em;\"><span style=\"top:-5.25em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><span style=\"top:-3.75em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><span style=\"top:-2.249999999999999em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><span style=\"top:-0.7499999999999996em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.7500000000000004em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p>\u82e5\u60f3\u53bb\u6389\u6bcf\u884c\u7684\u7f16\u53f7\uff0c\u53ef\u4ee5\u6539\u7528<code>gather*<\/code>\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{gather*}\n    <span class=\"hljs-keyword\">\\text<\/span>{\u7531\u9898\u53ef\u77e5\uff1a}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\triangle<\/span> AO<span class=\"hljs-built_in\">_<\/span>2B,<span class=\"hljs-keyword\">\\triangle<\/span> BO<span class=\"hljs-built_in\">_<\/span>1C,<span class=\"hljs-keyword\">\\triangle<\/span> CO<span class=\"hljs-built_in\">_<\/span>3A<span class=\"hljs-keyword\">\\text<\/span>{\u662f\u9876\u89d2\u4e3a<span class=\"hljs-built_in\">$<\/span>120<span class=\"hljs-built_in\">^<\/span><span class=\"hljs-keyword\">\\circ<\/span><span class=\"hljs-built_in\">$<\/span>\u7684\u7b49\u8170\u4e09\u89d2\u5f62}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\text<\/span>{\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a}<span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\angle<\/span> O<span class=\"hljs-built_in\">_<\/span>3CO<span class=\"hljs-built_in\">_<\/span>2&#x27; = <span class=\"hljs-keyword\">\\angle<\/span> O<span class=\"hljs-built_in\">_<\/span>3AO<span class=\"hljs-built_in\">_<\/span>2 , CO<span class=\"hljs-built_in\">_<\/span>2&#x27; = AO<span class=\"hljs-built_in\">_<\/span>2 , O<span class=\"hljs-built_in\">_<\/span>2O<span class=\"hljs-built_in\">_<\/span>3 = O<span class=\"hljs-built_in\">_<\/span>3O<span class=\"hljs-built_in\">_<\/span>2&#x27;\n<span class=\"hljs-keyword\">\\end<\/span>{gather*}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.2500em\" columnalign=\"center\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mtext>\u7531\u9898\u53ef\u77e5\uff1a<\/mtext><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi mathvariant=\"normal\">\u25b3<\/mi><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mi>B<\/mi><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u25b3<\/mi><mi>B<\/mi><msub><mi>O<\/mi><mn>1<\/mn><\/msub><mi>C<\/mi><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u25b3<\/mi><mi>C<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>A<\/mi><mrow><mtext>\u662f\u9876\u89d2\u4e3a<\/mtext><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mn>12<\/mn><msup><mn>0<\/mn><mo>\u2218<\/mo><\/msup><\/mstyle><mtext>\u7684\u7b49\u8170\u4e09\u89d2\u5f62<\/mtext><\/mrow><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mtext>\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a<\/mtext><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi mathvariant=\"normal\">\u2220<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>C<\/mi><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><mo>=<\/mo><mi mathvariant=\"normal\">\u2220<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi>C<\/mi><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><mo>=<\/mo><mi>A<\/mi><msub><mi>O<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>O<\/mi><mn>2<\/mn><\/msub><msub><mi>O<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><msub><mi>O<\/mi><mn>3<\/mn><\/msub><msubsup><mi>O<\/mi><mn>2<\/mn><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msubsup><\/mrow><\/mstyle><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\\begin{gather*}\n    \\text{\u7531\u9898\u53ef\u77e5\uff1a}\\\\\n    \\triangle AO_2B,\\triangle BO_1C,\\triangle CO_3A\\text{\u662f\u9876\u89d2\u4e3a$120^\\circ$\u7684\u7b49\u8170\u4e09\u89d2\u5f62}\\\\\n    \\text{\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a}\\\\\n    \\angle O_3CO_2&#x27; = \\angle O_3AO_2 , CO_2&#x27; = AO_2 , O_2O_3 = O_3O_2&#x27;\n\\end{gather*}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:6em;vertical-align:-2.7500000000000004em;\"><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:3.25em;\"><span style=\"top:-5.41em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7531\u9898\u53ef\u77e5\uff1a<\/span><\/span><\/span><\/span><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.05017em;\">B<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.05017em;\">B<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\">\u25b3<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u662f\u9876\u89d2\u4e3a<\/span><span class=\"mord\">12<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.674115em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2218<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord cjk_fallback\">\u7684\u7b49\u8170\u4e09\u89d2\u5f62<\/span><\/span><\/span><\/span><span style=\"top:-2.4099999999999993em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7531\u65cb\u8f6c\u53ef\u77e5\uff1a<\/span><\/span><\/span><\/span><span style=\"top:-0.9099999999999997em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2220<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\">\u2220<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">C<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.02778em;\">O<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8018919999999999em;\"><span style=\"top:-2.4530000000000003em;margin-left:-0.02778em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.247em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:2.7500000000000004em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<h4 id=\"align\u73af\u5883\">align\u73af\u5883<\/h4>\n<p>\u8fd9\u4e2a\u73af\u5883\u7528\u4e8e\u591a\u884c\u516c\u5f0f\u5bf9\u9f50\uff0c\u7528<code>\\\\<\/code>\u8868\u793a\u6362\u884c\uff0c<code>&amp;<\/code>\u662f\u5bf9\u9f50\u7b26\uff0c\u4f1a\u5c06\u6240\u6709\u884c\u4e2d<code>&amp;<\/code>\u7684\u4f4d\u7f6e\u5bf9\u9f50\uff0c\u4f46\u4e00\u884c\u53ea\u80fd\u8bbe\u5b9a\u4e00\u4e2a\u5bf9\u9f50\u7b26<span class='argon-hidden-text argon-hidden-text-blur'>\uff08\u968f\u7740\u540c\u4e00\u884c\u4e2d\u7b2c\u4e8c\u4e2a\u5bf9\u9f50\u7b26\u7684\u52a0\u5165\uff0calign\u73af\u5883\u5c31\u4e0d\u4ec5\u4ec5\u662f\u5bf9\u9f50\u8fd9\u4e48\u7b80\u5355\u4e86\uff0c\u8fd9\u91cc\u4e0d\u505a\u5c55\u5f00\uff09<\/span>\uff0c\u5982\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{align}\nf(x) <span class=\"hljs-built_in\">&amp;<\/span> = (a+b)<span class=\"hljs-built_in\">^<\/span>2 <span class=\"hljs-keyword\">\\\\<\/span>\n     <span class=\"hljs-built_in\">&amp;<\/span> = a<span class=\"hljs-built_in\">^<\/span>2+2ab+b<span class=\"hljs-built_in\">^<\/span>2\n<span class=\"hljs-keyword\">\\end<\/span>{align}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.2500em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi>f<\/mi><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\n\\begin{align}\nf(x) &amp; = (a+b)^2 \\\\\n     &amp; = a^2+2ab+b^2\n\\end{align}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:3.048216em;vertical-align:-1.274108em;\"><\/span><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.10764em;\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">ab<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.774108em;\"><span class=\"pstrut\" style=\"height:2.864108em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><span style=\"top:-2.25em;\"><span class=\"pstrut\" style=\"height:2.864108em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u82e5\u60f3\u53bb\u6389\u516c\u5f0f\u7684\u7f16\u53f7\uff0c\u53ef\u4ee5\u6539\u7528<code>align*<\/code>\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{align*}\nf(x) <span class=\"hljs-built_in\">&amp;<\/span> = (a+b)<span class=\"hljs-built_in\">^<\/span>2 <span class=\"hljs-keyword\">\\\\<\/span>\n     <span class=\"hljs-built_in\">&amp;<\/span> = a<span class=\"hljs-built_in\">^<\/span>2+2ab+b<span class=\"hljs-built_in\">^<\/span>2\n<span class=\"hljs-keyword\">\\end<\/span>{align*}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.2500em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi>f<\/mi><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\n\\begin{align*}\nf(x) &amp; = (a+b)^2 \\\\\n     &amp; = a^2+2ab+b^2\n\\end{align*}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:3.048216em;vertical-align:-1.274108em;\"><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.10764em;\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">ab<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u82e5\u5d4c\u5957\u4e86\u5176\u4ed6\u73af\u5883\uff08\u6216\u5d4c\u5957\u5728\u5176\u4ed6\u73af\u5883\u4e2d\uff09\uff0c\u5176\u4ed6\u73af\u5883\u5df2\u7ecf\u4e3a\u5176\u4e2d\u7684\u516c\u5f0f\u7f16\u4e86\u53f7\uff0c\u5219\u5e94\u4f7f\u7528<code>aligned<\/code>\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{equation}\n    <span class=\"hljs-keyword\">\\begin<\/span>{aligned}\n        f(x) <span class=\"hljs-built_in\">&amp;<\/span> = (a+b)<span class=\"hljs-built_in\">^<\/span>2 <span class=\"hljs-keyword\">\\\\<\/span>\n             <span class=\"hljs-built_in\">&amp;<\/span> = a<span class=\"hljs-built_in\">^<\/span>2+2ab+b<span class=\"hljs-built_in\">^<\/span>2\n    <span class=\"hljs-keyword\">\\end<\/span>{aligned}\n<span class=\"hljs-keyword\">\\end<\/span>{equation}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.1600em\" columnspacing=\"1em\"><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mtable rowspacing=\"0.2500em\" columnalign=\"right left\" columnspacing=\"0em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi>f<\/mi><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mn>2<\/mn><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mtd><\/mtr><\/mtable><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\n\\begin{equation}\n    \\begin{aligned}\n        f(x) &amp; = (a+b)^2 \\\\\n             &amp; = a^2+2ab+b^2\n    \\end{aligned}\n\\end{equation}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:3.048216em;vertical-align:-1.274108em;\"><\/span><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.774108em;\"><span class=\"pstrut\" style=\"height:3.774108em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.10764em;\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-2.385892em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">ab<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641079999999999em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.774108em;\"><span style=\"top:-3.774108em;\"><span class=\"pstrut\" style=\"height:3.774108em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.274108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u4e0a\u9762\u8fd9\u4e2a\u4f8b\u5b50\u5c31\u53ef\u4ee5\u505a\u5230\u8ba9\u4e24\u884c\u516c\u5f0f\u53ea\u7f16\u4e00\u4e2a\u53f7\u3002<\/p>\n<h4 id=\"alignat\u73af\u5883\">alignat\u73af\u5883<\/h4>\n<p>\u8fd9\u4e2a\u73af\u5883\u7528\u4e8e\u591a\u884c\u516c\u5f0f\u5bf9\u9f50\uff0c\u58f0\u660e<code>\\begin{alignat}{n}<\/code>\u4e2d<code>n<\/code>\u5c31\u662f\u6bcf\u4e00\u884c\u4e2d\u5bf9\u9f50\u7b26<code>&amp;<\/code>\u7684\u6570\u91cf\uff0c\u5728\u73af\u5883\u5185\u7528<code>\\\\<\/code>\u8868\u793a\u6362\u884c\uff0c\u4f1a\u5c06\u6240\u6709\u884c\u4e2d\u6240\u6709<code>&amp;<\/code>\u7684\u4f4d\u7f6e\u5bf9\u9f50\uff1a\u7b2c\u4e00\u884c\u7b2c\u4e00\u4e2a<code>&amp;<\/code>\u5bf9\u9f50\u7b2c\u4e8c\u884c\u7b2c\u4e00\u4e2a<code>&amp;<\/code>\uff0c\u7b2c\u4e00\u884c\u7b2c\u4e8c\u4e2a<code>&amp;<\/code>\u5bf9\u9f50\u7b2c\u4e8c\u884c\u7b2c\u4e8c\u4e2a<code>&amp;<\/code>\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u5982\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{alignat}{2}\n    a <span class=\"hljs-built_in\">&amp;<\/span> = b <span class=\"hljs-keyword\">\\hspace<\/span>{5em}<span class=\"hljs-built_in\">&amp;<\/span> = c <span class=\"hljs-keyword\">\\\\<\/span>\n    d <span class=\"hljs-built_in\">&amp;<\/span> = e             <span class=\"hljs-built_in\">&amp;<\/span> = d\n<span class=\"hljs-keyword\">\\end<\/span>{alignat}\n<\/code><\/pre>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mtable rowspacing=\"0.2500em\" columnalign=\"right left right left\" columnspacing=\"0em\"><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mi>a<\/mi><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mi>b<\/mi><mspace width=\"5em\"\/><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mo>=<\/mo><mi>c<\/mi><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><mtr><mtd class =\"mtr-glue\"><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mi>d<\/mi><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mi>e<\/mi><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mo>=<\/mo><mi>d<\/mi><\/mrow><\/mstyle><\/mtd><mtd class =\"mtr-glue\"><\/mtd><mtd class =\"mml-eqn-num\"><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\n\\begin{alignat}{2}\n    a &amp; = b \\hspace{5em}&amp; = c \\\\\n    d &amp; = e             &amp; = d\n\\end{alignat}\n<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:3.0000000000000004em;vertical-align:-1.2500000000000002em;\"><\/span><span class=\"mtable\"><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.7500000000000002em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><span style=\"top:-2.41em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2500000000000002em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.7500000000000002em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mspace\" style=\"margin-right:5em;\"><\/span><\/span><\/span><span style=\"top:-2.41em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">e<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2500000000000002em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"col-align-r\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.7500000000000002em;\"><span style=\"top:-3.91em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><span style=\"top:-2.41em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mord mathnormal\">d<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2500000000000002em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"tag\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.7500000000000002em;\"><span style=\"top:-3.75em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><span style=\"top:-2.25em;\"><span class=\"pstrut\" style=\"height:2.84em;\"><\/span><span class=\"eqn-num\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.2500000000000002em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u4e0ealign\u4e00\u6837\uff0calignat\u4e5f\u6709alignat*\u548calignated\u53d8\u79cd\u3002<\/p>\n<h4 id=\"case\u73af\u5883\">case\u73af\u5883<\/h4>\n<p>\u8fd9\u4e2a\u73af\u5883\u63d0\u4f9b\u4e00\u4e2a\u5927\u62ec\u53f7\u6765\u628a\u591a\u884c\u516c\u5f0f\u5305\u4f4f\uff08\u65b9\u7a0b\u7ec4\uff09\uff0c\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u672c\u73af\u5883<strong>\u4e0d\u4f1a<\/strong>\u4e3a\u516c\u5f0f\u7f16\u53f7\uff0c\u8981\u60f3\u8ba9\u5176\u4e2d\u7684\u6bcf\u4e2a\u516c\u5f0f\u7f16\u53f7\uff0c\u53ef\u4ee5\u79fb\u6b65<a href=\"https:\/\/lucas2011.top\/index.php\/archives\/544\">cases\u5b8f\u5305<\/a>\u4e2d\u7684numcases\u73af\u5883\uff1b\u82e5\u60f3\u4e00\u4e2a\u65b9\u7a0b\u7ec4\u7f16\u4e00\u4e2a\u53f7\uff0c\u53ef\u4ee5\u5728\u5176\u5916\u9762\u5d4c\u5957\u4e00\u4e2a<a href=\"#equation%E7%8E%AF%E5%A2%83\">equation\u73af\u5883<\/a>\uff0c\u5982\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{equation}\n<span class=\"hljs-keyword\">\\begin<\/span>{cases}\n    <span class=\"hljs-keyword\">\\triangle<\/span> O<span class=\"hljs-built_in\">_<\/span>1O<span class=\"hljs-built_in\">_<\/span>2O<span class=\"hljs-built_in\">_<\/span>3 <span class=\"hljs-keyword\">\\text<\/span>{\u4e3a\u7b49\u8fb9\u4e09\u89d2\u5f62}<span class=\"hljs-keyword\">\\\\<\/span>\n    O<span class=\"hljs-built_in\">_<\/span>2O<span class=\"hljs-built_in\">_<\/span>3 <span class=\"hljs-built_in\">^<\/span>2 = <span class=\"hljs-keyword\">\\frac<\/span>{a<span class=\"hljs-built_in\">^<\/span>2 +b<span class=\"hljs-built_in\">^<\/span>2 + c<span class=\"hljs-built_in\">^<\/span>2 - 4<span class=\"hljs-keyword\">\\sqrt<\/span>{3}S<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\triangle<\/span> ABC}}{6} <span class=\"hljs-keyword\">\\\\<\/span>\n    <span class=\"hljs-keyword\">\\angle<\/span> ACB = <span class=\"hljs-keyword\">\\angle<\/span> AO<span class=\"hljs-built_in\">_<\/span>3O<span class=\"hljs-built_in\">_<\/span>2 + <span class=\"hljs-keyword\">\\angle<\/span> BO<span class=\"hljs-built_in\">_<\/span>1O<span class=\"hljs-built_in\">_<\/span>2 \n<span class=\"hljs-keyword\">\\end<\/span>{cases}\n<span class=\"hljs-keyword\">\\end<\/span>{equation}\n<\/code><\/pre>\n<h4 id=\"\u77e9\u9635\">\u77e9\u9635<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{matrix}\nx <span class=\"hljs-built_in\">&amp;<\/span> y <span class=\"hljs-keyword\">\\\\<\/span>\nz <span class=\"hljs-built_in\">&amp;<\/span> v\n<span class=\"hljs-keyword\">\\end<\/span>{matrix}\n\n<span class=\"hljs-keyword\">\\qquad<\/span>\n\n<span class=\"hljs-keyword\">\\begin<\/span>{vmatrix}\nx <span class=\"hljs-built_in\">&amp;<\/span> y <span class=\"hljs-keyword\">\\\\<\/span>\nz <span class=\"hljs-built_in\">&amp;<\/span> v\n<span class=\"hljs-keyword\">\\end<\/span>{vmatrix}\n\n<span class=\"hljs-keyword\">\\qquad<\/span>\n\n<span class=\"hljs-keyword\">\\begin<\/span>{Vmatrix}\nx <span class=\"hljs-built_in\">&amp;<\/span> y <span class=\"hljs-keyword\">\\\\<\/span>\nz <span class=\"hljs-built_in\">&amp;<\/span> v\n<span class=\"hljs-keyword\">\\end<\/span>{Vmatrix}\n\n<span class=\"hljs-keyword\">\\qquad<\/span>\n\n<span class=\"hljs-keyword\">\\begin<\/span>{bmatrix}\n0 <span class=\"hljs-built_in\">&amp;<\/span> <span class=\"hljs-keyword\">\\cdots<\/span> <span class=\"hljs-built_in\">&amp;<\/span> 0 <span class=\"hljs-keyword\">\\\\<\/span>\n<span class=\"hljs-keyword\">\\vdots<\/span> <span class=\"hljs-built_in\">&amp;<\/span> <span class=\"hljs-keyword\">\\ddots<\/span> <span class=\"hljs-built_in\">&amp;<\/span> <span class=\"hljs-keyword\">\\vdots<\/span> <span class=\"hljs-keyword\">\\\\<\/span>\n0 <span class=\"hljs-built_in\">&amp;<\/span> <span class=\"hljs-keyword\">\\cdots<\/span> <span class=\"hljs-built_in\">&amp;<\/span> 0\n<span class=\"hljs-keyword\">\\end<\/span>{bmatrix}\n<\/code><\/pre>\n<div align=\"center\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/12\/QianJianTec1735390943398.svg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/12\/QianJianTec1735390943398.svg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\"\/><\/div><\/div>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{Bmatrix}\nx <span class=\"hljs-built_in\">&amp;<\/span> y <span class=\"hljs-keyword\">\\\\<\/span>\nz <span class=\"hljs-built_in\">&amp;<\/span> v\n<span class=\"hljs-keyword\">\\end<\/span>{Bmatrix}\n\n<span class=\"hljs-keyword\">\\qquad<\/span>\n\n<span class=\"hljs-keyword\">\\begin<\/span>{pmatrix}\nx <span class=\"hljs-built_in\">&amp;<\/span> y <span class=\"hljs-keyword\">\\\\<\/span>\nz <span class=\"hljs-built_in\">&amp;<\/span> v\n<span class=\"hljs-keyword\">\\end<\/span>{pmatrix}\n\n<span class=\"hljs-keyword\">\\qquad<\/span>\n\n<span class=\"hljs-keyword\">\\bigl<\/span>(\n<span class=\"hljs-keyword\">\\begin<\/span>{smallmatrix}\na<span class=\"hljs-built_in\">&amp;<\/span>b<span class=\"hljs-keyword\">\\\\<\/span>\nc<span class=\"hljs-built_in\">&amp;<\/span>d\n<span class=\"hljs-keyword\">\\end<\/span>{smallmatrix}\n<span class=\"hljs-keyword\">\\bigr<\/span>)\n<\/code><\/pre>\n<div align=\"center\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/12\/QianJianTec1735390964889.svg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2024\/12\/QianJianTec1735390964889.svg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\"\/><\/div><\/div>\n<h3 id=\"\u5b9a\u7406\u73af\u5883\">\u5b9a\u7406\u73af\u5883<\/h3>\n<p>\u662fams\u7cfb\u5217\u5b8f\u5305\u63d0\u4f9b\u7684\uff0c\u8bf7\u786e\u4fdd\u5728\u5bfc\u8a00\u533a\u5f15\u7528\u4e86\u8fd9\u4e9b\u5b8f\u5305\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\usepackage<\/span>[fleqn]{amsmath}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsthm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsfonts}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amssymb}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amstext}\n<\/code><\/pre>\n<div class=\"admonition shadow-sm admonition-info\">\n<div class=\"admonition-title\">\u6ce8\u610f<\/div>\n<div class=\"admonition-body\">\u8bf7\u52ff\u66f4\u6539\u5b8f\u5305\u5f15\u7528\u7684\u987a\u5e8f\uff0c\u5426\u5219\u6839\u636eamstext\u5b8f\u5305\u7684\u6307\u5357\uff0c\u53ef\u80fd\u4f1a\u6709\u7384\u5b66\u7684\u4e8b\u60c5\u53d1\u751f\uff0dO\uff0d<\/div>\n<\/div>\n<h4 id=\"\u81ea\u5b9a\u4e49\u5b9a\u7406\u73af\u5883\">\u81ea\u5b9a\u4e49\u5b9a\u7406\u73af\u5883<\/h4>\n<p>\u5b9a\u7406\u73af\u5883\u5e76\u4e0d\u662f\u5f00\u7bb1\u5373\u7528\u7684\uff0c\u5b8f\u5305\u4e2d\u53ea\u63d0\u4f9b\u4e86\u6a21\u677f\uff0c\u9700\u8981\u81ea\u5df1\u9884\u5148\u5b9a\u4e49\u81ea\u5df1\u7684\u81ea\u5b9a\u4e49\u73af\u5883\u3002<\/p>\n<p>\u5728<strong>\u6b63\u6587\u533a<\/strong>\u4e2d\uff0c\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b9a\u4e49\u4e00\u4e2a\u81ea\u52a8\u7f16\u53f7\u7684\u81ea\u5b9a\u4e49\u73af\u5883\uff1a<\/p>\n<pre><code>\\newtheorem{\u73af\u5883\u540d\u79f0}[shared counter]{\u663e\u793a\u540d\u79f0}[parent counter]\n<\/code><\/pre>\n<p>\u5176\u4e2d\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th style=\"text-align:center\">\u53c2\u6570<\/th>\n<th style=\"text-align:left\">\u89e3\u91ca<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align:center\"><code>\u73af\u5883\u540d\u79f0<\/code><\/td>\n<td style=\"text-align:left\">\u5373<code>\\begin{}<\/code>\u4e2d\u586b\u7684\u73af\u5883\u540d\u79f0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>shared counter<\/code><\/td>\n<td style=\"text-align:left\">\u53ef\u9009\uff0c\u5373\u5171\u4eab\u7684\u8ba1\u6570\u5668\uff0c\u6bd4\u5982\u6211\u5148\u5b9a\u4e49\u4e86\u5b9a\u7406\u73af\u5883A\uff0c\u6211\u8981\u8ba9\u5b9a\u7406\u73af\u5883B\u4e0eA\u4e00\u540c\u7f16\u53f7\uff0c\u5c31\u5728\u5b9a\u4e49B\u65f6\u5728\u8fd9\u91cc\u586bA<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>\u663e\u793a\u540d\u79f0<\/code><\/td>\n<td style=\"text-align:left\">\u5373\u5b9a\u7406\u73af\u5883\u663e\u793a\u7684\u540d\u79f0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>parent counter<\/code><\/td>\n<td style=\"text-align:left\">\u53ef\u9009\uff0c\u5373\u7236\u8ba1\u6570\u5668\uff0c\u6bd4\u5982\u6211\u60f3\u8ba9\u5176\u663e\u793a\u4e3a1.2\uff081\u4e3a\u8282\u6570\uff09\uff0c\u5c31\u53ef\u4ee5\u5728\u8fd9\u91cc\u586bsection<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7279\u522b\u7684\uff0c\u5982\u679c\u4e0d\u60f3\u8ba9\u8be5\u5b9a\u7406\u7f16\u53f7\uff0c\u53ef\u4ee5\u7528<code>\\newtheorem*{\u73af\u5883\u540d\u79f0}{\u663e\u793a\u540d\u79f0}<\/code>\u6765\u5b9a\u4e49\u4e00\u4e2a\u4e0d\u7f16\u53f7\u7684\u5b9a\u7406\u3002<\/p>\n<p>\u901a\u8fc7\u5728\u5b9a\u4e49\u5b9a\u7406\u73af\u5883\u4e4b\u524d\u4f7f\u7528<code>\\theoremstyle{\u6837\u5f0f\u540d}<\/code>\u53ef\u4ee5\u66f4\u6539\u5b9a\u7406\u7684\u6837\u5f0f\u3002\u5b9a\u7406\u73af\u5883\u6709\u4e09\u4e2a\u6837\u5f0f\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th style=\"text-align:center\">\u6837\u5f0f\u540d<\/th>\n<th style=\"text-align:left\">\u89e3\u91ca<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align:center\"><code>plain<\/code><\/td>\n<td style=\"text-align:left\">\u6807\u9898\u9ed1\u4f53\uff08<code>\\textbf<\/code>\u5b57\u4f53\uff09\u3001\u5185\u5bb9\u6977\u4f53\uff08<code>\\textil<\/code>\u5b57\u4f53\uff09<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>definition<\/code><\/td>\n<td style=\"text-align:left\">\u6807\u9898\u9ed1\u4f53\uff08<code>\\textbf<\/code>\u5b57\u4f53\uff09\u3001\u5185\u5bb9\u5b8b\u4f53\uff08\u7f3a\u7701\u5b57\u4f53\uff09<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>remark<\/code><\/td>\n<td style=\"text-align:left\">\u6807\u9898\u6977\u4f53\uff08<code>\\textil<\/code>\u5b57\u4f53\uff09\u3001\u5185\u5bb9\u5b8b\u4f53\uff08\u7f3a\u7701\u5b57\u4f53\uff09<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h5 id=\"demo7-\u81ea\u5b9a\u4e49\u5b9a\u7406\u73af\u5883\">demo7: \u81ea\u5b9a\u4e49\u5b9a\u7406\u73af\u5883<\/h5>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsmath}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsthm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsfonts}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amssymb}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amstext}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\title<\/span>{<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}title<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}}\n<span class=\"hljs-keyword\">\\author<\/span>{}\n<span class=\"hljs-keyword\">\\date<\/span>{}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\newtheorem<\/span>{theorem}{\u8981\u70b9}[section]\n<span class=\"hljs-keyword\">\\newtheorem<\/span>*{say}{\u8c1a\u8bed} <span class=\"hljs-comment\">%\u53ef\u4ee5\u5c06\u76f8\u540c\u7684\u6837\u5f0f\u7684\u73af\u5883\u653e\u5728\u4e00\u8d77\u5b9a\u4e49<\/span>\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{remark}\n\n<span class=\"hljs-keyword\">\\newtheorem<\/span>{derived}{\u63a8\u8bba}[theorem]\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{definition}\n\n<span class=\"hljs-keyword\">\\newtheorem<\/span>{defined}[derived]{\u5b9a\u4e49}\n\n<span class=\"hljs-keyword\">\\section<\/span>{A}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{say}\n    abc\u6977\u4f53\n<span class=\"hljs-keyword\">\\end<\/span>{say}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{theorem}\n    def\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{derived}\n        derived\u63a8\u8bba\n    <span class=\"hljs-keyword\">\\end<\/span>{derived}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{defined}\n        defined\u5b9a\u4e49\n    <span class=\"hljs-keyword\">\\end<\/span>{defined}\n\n<span class=\"hljs-keyword\">\\end<\/span>{theorem}\n\n<span class=\"hljs-keyword\">\\section<\/span>{B}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{theorem}\n    abc\n<span class=\"hljs-keyword\">\\end<\/span>{theorem}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{theorem}\n    def\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{derived}\n        derived\u63a8\u8bba\n    <span class=\"hljs-keyword\">\\end<\/span>{derived}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{defined}\n        defined\u5b9a\u4e49\n    <span class=\"hljs-keyword\">\\end<\/span>{defined}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{derived}\n        derived\u63a8\u8bba\n    <span class=\"hljs-keyword\">\\end<\/span>{derived}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{derived}\n        derived\u63a8\u8bba\n    <span class=\"hljs-keyword\">\\end<\/span>{derived}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{defined}\n        defined\u5b9a\u4e49\n    <span class=\"hljs-keyword\">\\end<\/span>{defined}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{defined}\n        defined\u5b9a\u4e49\n    <span class=\"hljs-keyword\">\\end<\/span>{defined}\n\n<span class=\"hljs-keyword\">\\end<\/span>{theorem}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u7ed3\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/6766dc3cd0e0a243d4e7dd30.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/6766dc3cd0e0a243d4e7dd30.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"alt text\"\/><\/div><\/p>\n<h3 id=\"\u4f7f\u7528\u5b9a\u7406\u73af\u5883\">\u4f7f\u7528\u5b9a\u7406\u73af\u5883<\/h3>\n<p>\u5c31\u50cf\u4f7f\u7528\u6b63\u5e38\u7684\u73af\u5883\u4e00\u6837\u5373\u53ef\uff0c\u5728<code>\\begin<\/code>\u540e\u52a0\u65b9\u62ec\u53f7\u53ef\u4ee5\u5728\u5b9a\u7406\u7684\u6700\u524d\u65b9\u8865\u5145\u4e00\u4e9b\u5185\u5bb9\uff08\u5982\u5b9a\u7406\u7684\u540d\u79f0\u7b49\uff09\uff1a<\/p>\n<h4 id=\"demo8-\u4f7f\u7528\u5b9a\u7406\u73af\u5883\">demo8: \u4f7f\u7528\u5b9a\u7406\u73af\u5883<\/h4>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsmath}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsthm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsfonts}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amssymb}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amstext}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{paralist}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\title<\/span>{<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}title<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}}\n<span class=\"hljs-keyword\">\\author<\/span>{}\n<span class=\"hljs-keyword\">\\date<\/span>{}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\newtheorem<\/span>{theorem}{\u8981\u70b9}[section]\n\n<span class=\"hljs-keyword\">\\section<\/span>{A}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{theorem}[\u52fe\u80a1\u5b9a\u7406]\n    \u662f\u5e73\u9762\u51e0\u4f55\u4e2d\u4e00\u4e2a\u57fa\u672c\u800c\u91cd\u8981\u7684\u5b9a\u7406\u3002\u52fe\u80a1\u5b9a\u7406\u8bf4\u660e\uff0c\u5e73\u9762\u4e0a\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e24\u6761\u76f4\u89d2\u8fb9\u7684\u957f\u5ea6\uff08\u8f83\u77ed\u76f4\u89d2\u8fb9\u53e4\u79f0\u52fe\u957f\u3001\u8f83\u957f\u76f4\u89d2\u8fb9\u53e4\u79f0\u80a1\u957f\uff09\u7684\u5e73\u65b9\u548c\u7b49\u4e8e\u659c\u8fb9\u957f\uff08\u53e4\u79f0\u5f26\u957f\uff09\u7684\u5e73\u65b9\u3002\n\n    <span class=\"hljs-keyword\">\\[<\/span>\n        a<span class=\"hljs-built_in\">^<\/span>2 + b<span class=\"hljs-built_in\">^<\/span>2 =c<span class=\"hljs-built_in\">^<\/span>2\n    <span class=\"hljs-keyword\">\\]<\/span>\n<span class=\"hljs-keyword\">\\end<\/span>{theorem}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u6548\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/6766de12d0e0a243d4e7dd6c.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/6766de12d0e0a243d4e7dd6c.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"alt text\"\/><\/div><\/p>\n<h3 id=\"\u4f7f\u7528\u8bc1\u660e\u73af\u5883\">\u4f7f\u7528\u8bc1\u660e\u73af\u5883<\/h3>\n<p>\u4e0e\u5b9a\u7406\u73af\u5883\u4e0d\u540c\uff0c\u8bc1\u660e\u73af\u5883\u662f\u9884\u5b9a\u4e49\u597d\u7684\uff0c\u6211\u4eec\u76f4\u63a5\u7528\u5c31\u53ef\u4ee5\u3002<\/p>\n<pre><code>\\begin{proof}\n    abc\n\\end{proof}\n<\/code><\/pre>\n<p>\u82e5\u4f60\u8bc1\u660e\u73af\u5883\u8d77\u59cb\u65f6\u663e\u793a\u7684\u662f\u82f1\u6587\u7684\u201cProof.\u201d\u800c\u4e0d\u662f\u201c\u8bc1\u660e.\u201d\u7684\u8bdd\uff0c\u53ef\u4ee5\u5728\u5bfc\u8a00\u533a\u52a0\u4e0a\u8fd9\u4e48\u4e00\u53e5\u8bdd\uff1a<\/p>\n<pre><code>\\renewcommand\\proofname{\u8bc1\u660e}\n<\/code><\/pre>\n<p>\u4f46\u662f\u7b14\u8005\u4eb2\u6d4b\u73b0\u5728\u201c\u8bc1\u660e.\u201d\u5c31\u662f\u7f3a\u7701\u8bbe\u7f6e\u3002<\/p>\n<h2 id=\"\u8868\u683c\">\u8868\u683c<\/h2>\n<p>\u6bd4\u8f83\u590d\u6742\uff0c\u76f4\u63a5\u7528<a href=\"https:\/\/tableconvert.com\/zh-cn\/latex-generator\">\u7f51\u7ad9<\/a>\u751f\u6210\u5373\u53ef<\/p>\n<p>\u6a2a\u5411\u5408\u5e76\u5355\u5143\u683c\u5e76\u5c45\u4e2d\uff1a<code>\\muticolumn{cols}{|c|}{text}<\/code><\/p>\n<table>\n<thead>\n<tr>\n<th style=\"text-align:center\">\u53c2\u6570<\/th>\n<th style=\"text-align:left\">\u8bf4\u660e<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align:center\"><code>cols<\/code><\/td>\n<td style=\"text-align:left\">\u6a2a\u5411\u5408\u5e76\u51e0\u5217\u7684\u5355\u5143\u683c<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>|\u5bf9\u9f50\u65b9\u5f0f|<\/code><\/td>\n<td style=\"text-align:left\"><code>|c|<\/code>\u4e3a\u5c45\u4e2d\uff0c<code>|l|<\/code>\u4e3a\u5c45\u5de6\uff0c<code>|r|<\/code>\u4e3a\u5c45\u53f3<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>text<\/code><\/td>\n<td style=\"text-align:left\">\u5355\u5143\u683c\u4e2d\u7684\u5185\u5bb9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5408\u5e76\u7eb5\u884c\u5355\u5143\u683c\uff1a\u7528<code>multirow<\/code>\u5305\u4e2d\u7684<code>\\multirow{rows}{*}{text}<\/code>\u6765\u5b9e\u73b0\uff0c\u7528<code>\\cline{start-end}<\/code>\u6765\u5212\u7ebf\uff08\u6bd4\u5982\u4ece\u7b2c\u4e8c\u680f\u5212\u5230\u7b2c\u56db\u680f\u5c31\u662f<code>\\cline{2-4}<\/code>\uff09\uff0c\u7a7a\u683c\u8bb0\u5f97\u7559\u597d\u3002<\/p>\n<p>\u5c45\u4e2d\uff1a<code>\\centering<\/code><\/p>\n<p>\u8bbe\u7f6e\u884c\u9ad8\uff1a<code>\\renewcommand\\arraystretch{0.9}<\/code><\/p>\n<p>\u8868\u540d\uff1a<code>\\caption{tablename}<\/code><\/p>\n<p>\u66f4\u6539\u8868\u7684\u7f16\u53f7\uff08\u4f8b\u5982\u52a0\u4e0a\u7ae0\u8282\u53f7\uff09\uff1a\u5728\u5bfc\u8a00\u533a\u6dfb\u52a0<code>\\renewcommand\\thetable{\\arabic{section}.\\arabic{table}}<\/code><\/p>\n<h3 id=\"demo8-\u8868\u683c\">demo8: \u8868\u683c<\/h3>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{multirow}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amstext}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\title<\/span>{<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}title<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}}\n<span class=\"hljs-keyword\">\\author<\/span>{}\n<span class=\"hljs-keyword\">\\date<\/span>{}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{table}[!hb]\n    <span class=\"hljs-keyword\">\\centering<\/span>\n    <span class=\"hljs-keyword\">\\renewcommand<\/span><span class=\"hljs-keyword\">\\arraystretch<\/span>{0.9}\n    <span class=\"hljs-keyword\">\\caption<\/span>{\u5143\u7d20\u5468\u671f\u5f8b}\n    <span class=\"hljs-keyword\">\\begin<\/span>{tabular}{|c|c|c|}\n        <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{}                            <span class=\"hljs-built_in\">&amp;<\/span> \u540c\u5468\u671f\uff08\u5de6<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\rightarrow<\/span><span class=\"hljs-built_in\">$<\/span>\u53f3\uff09               <span class=\"hljs-built_in\">&amp;<\/span> \u540c\u4e3b\u65cf\uff08\u4e0a<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\rightarrow<\/span><span class=\"hljs-built_in\">$<\/span>\u4e0b\uff09            <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u6838\u7535\u8377\u6570}                     <span class=\"hljs-built_in\">&amp;<\/span> <span class=\"hljs-keyword\">\\multicolumn<\/span>{2}{|c|}{\u9010\u6e10\u589e\u5927}                                           <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\multirow<\/span>{2}{*}{<span class=\"hljs-keyword\">\\textbf<\/span>{\u7535\u5b50\u5c42\u7ed3\u6784}}  <span class=\"hljs-built_in\">&amp;<\/span> \u7535\u5b50\u5c42\u6570\u76f8\u540c                             <span class=\"hljs-built_in\">&amp;<\/span> \u7535\u5b50\u5c42\u6570\u9012\u589e                          <span class=\"hljs-keyword\">\\\\<\/span>\n        ~                                   <span class=\"hljs-built_in\">&amp;<\/span> \u4ef7\u7535\u5b50\u6570\u9012\u589e                             <span class=\"hljs-built_in\">&amp;<\/span> \u4ef7\u7535\u5b50\u6570\u76f8\u540c                          <span class=\"hljs-keyword\">\\\\<\/span><span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\multirow<\/span>{2}{*}{<span class=\"hljs-keyword\">\\textbf<\/span>{\u4e3b\u8981\u5316\u5408\u4ef7*}} <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u6700\u9ad8\u6b63\u4ef7\uff1a<span class=\"hljs-built_in\">$<\/span>+1 <span class=\"hljs-keyword\">\\rightarrow<\/span> +7<span class=\"hljs-built_in\">$<\/span>} <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u6700\u9ad8\u6b63\u4ef7=\u65cf\u5e8f\u6570}              <span class=\"hljs-keyword\">\\\\<\/span>\n        ~                                <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u6700\u4f4e\u8d1f\u4ef7\uff1a<span class=\"hljs-built_in\">$<\/span>-4 <span class=\"hljs-keyword\">\\rightarrow<\/span> -1<span class=\"hljs-built_in\">$<\/span>} <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u6700\u4f4e\u8d1f\u4ef7<span class=\"hljs-built_in\">$<\/span> = 8-<span class=\"hljs-keyword\">\\text<\/span>{\u65cf\u5e8f\u6570}<span class=\"hljs-built_in\">$<\/span>} <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u539f\u5b50\u534a\u5f84*}                   <span class=\"hljs-built_in\">&amp;<\/span> \u9010\u6e10\u51cf\u5c0f                               <span class=\"hljs-built_in\">&amp;<\/span> \u9010\u6e10\u589e\u5927                            <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u91d1\u5c5e\u6027}                     <span class=\"hljs-built_in\">&amp;<\/span> \u91d1\u5c5e\u6027\u9010\u6e10\u51cf\u5f31                            <span class=\"hljs-built_in\">&amp;<\/span> \u91d1\u5c5e\u6027\u9010\u6e10\u589e\u5f3a                         <span class=\"hljs-keyword\">\\\\<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u975e\u91d1\u5c5e\u6027\uff08\u7535\u8d1f\u6027\uff09}           <span class=\"hljs-built_in\">&amp;<\/span> \u975e\u91d1\u5c5e\u6027\u9010\u6e10\u589e\u5f3a                           <span class=\"hljs-built_in\">&amp;<\/span> \u975e\u91d1\u5c5e\u6027\u9010\u6e10\u51cf\u5f31                        <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u7b2c\u4e00\u7535\u79bb\u80fd\uff08<span class=\"hljs-built_in\">$<\/span>I<span class=\"hljs-built_in\">_<\/span>1<span class=\"hljs-built_in\">$<\/span>\uff09*}         <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u9010\u6e10\u589e\u5927}                      <span class=\"hljs-built_in\">&amp;<\/span> \u9010\u6e10\u51cf\u5c0f                            <span class=\"hljs-keyword\">\\\\<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u7b2c\u4e00\u7535\u5b50\u4eb2\u548c\u80fd\uff08<span class=\"hljs-built_in\">$<\/span>E<span class=\"hljs-built_in\">_<\/span>1<span class=\"hljs-built_in\">$<\/span>\uff09*}      <span class=\"hljs-built_in\">&amp;<\/span> {<span class=\"hljs-keyword\">\\kaishu<\/span> \u9010\u6e10\u589e\u5927}                      <span class=\"hljs-built_in\">&amp;<\/span> \u9010\u6e10\u51cf\u5c0f                            <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u5355\u8d28\u8fd8\u539f\u6027}                   <span class=\"hljs-built_in\">&amp;<\/span> \u8fd8\u539f\u6027\u9010\u6e10\u51cf\u5f31                           <span class=\"hljs-built_in\">&amp;<\/span> \u8fd8\u539f\u6027\u9010\u6e10\u589e\u5f3a                         <span class=\"hljs-keyword\">\\\\<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u5355\u8d28\u6c27\u5316\u6027}                   <span class=\"hljs-built_in\">&amp;<\/span> \u6c27\u5316\u6027\u9010\u6e10\u589e\u5f3a                           <span class=\"hljs-built_in\">&amp;<\/span> \u6c27\u5316\u6027\u9010\u6e10\u51cf\u5f31                         <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u6700\u9ad8\u4ef7\u6c27\u5316\u7269\u5bf9}               <span class=\"hljs-built_in\">&amp;<\/span> \u78b1\u6027\u51cf\u5f31                                <span class=\"hljs-built_in\">&amp;<\/span> \u78b1\u6027\u589e\u5f3a                            <span class=\"hljs-keyword\">\\\\<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u5e94\u6c34\u5316\u7269\u7684\u9178\u78b1\u6027}              <span class=\"hljs-built_in\">&amp;<\/span> \u9178\u6027\u589e\u5f3a                               <span class=\"hljs-built_in\">&amp;<\/span> \u9178\u6027\u51cf\u5f31                            <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u975e\u91d1\u5c5e\u6c14\u6001\u7b80\u5355\u6c22}              <span class=\"hljs-built_in\">&amp;<\/span> \u751f\u6210\u7531\u96be\u5230\u6613                            <span class=\"hljs-built_in\">&amp;<\/span> \u751f\u6210\u7531\u6613\u5230\u96be                          <span class=\"hljs-keyword\">\\\\<\/span>\n        <span class=\"hljs-keyword\">\\textbf<\/span>{\u5316\u7269\u7684\u7a33\u5b9a\u6027}                  <span class=\"hljs-built_in\">&amp;<\/span> \u7a33\u5b9a\u6027\u7531\u5f31\u5230\u5f3a                          <span class=\"hljs-built_in\">&amp;<\/span> \u7a33\u5b9a\u6027\u7531\u5f3a\u5230\u5f31                         <span class=\"hljs-keyword\">\\\\<\/span> <span class=\"hljs-keyword\">\\hline<\/span>\n    <span class=\"hljs-keyword\">\\end<\/span>{tabular}\n<span class=\"hljs-keyword\">\\end<\/span>{table}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<p>\u7f16\u8bd1\u6548\u679c\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic.imgdb.cn\/item\/6766e3efd0e0a243d4e7df11.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic.imgdb.cn\/item\/6766e3efd0e0a243d4e7df11.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"alt text\"\/><\/div><\/p>\n<h2 id=\"\u56fe\u7247\">\u56fe\u7247<\/h2>\n<p>\u9700\u8981\u7528\u5230graphicx\u5b8f\u5305\u3002<\/p>\n<p>\u66f4\u6539\u56fe\u7684\u7f16\u53f7\uff08\u4f8b\u5982\u52a0\u4e0a\u7ae0\u8282\u53f7\uff09\uff1a\u5728\u5bfc\u8a00\u533a\u6dfb\u52a0<code>\\renewcommand\\thefigure{\\arabic{section}.\\arabic{figure}}<\/code><\/p>\n<p>\u5728\u6587\u5b57\u4e2d\u5d4c\u5165\u4e00\u4e2a\u65e0caption\u7684\u56fe\u7247\uff08\u652f\u6301<strong>pdf<\/strong>\u3001png\u3001jpg\u7b49\uff09\uff1a<code>\\includegraphics[width=0.3\\textwidth, keepaspectratio]{assists\/Elemental_abundances.pdf}<\/code><\/p>\n<table>\n<thead>\n<tr>\n<th style=\"text-align:center\">\u53c2\u6570<\/th>\n<th style=\"text-align:left\">\u89e3\u91ca<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align:center\"><code>width<\/code><\/td>\n<td style=\"text-align:left\">\u5bbd\u5ea6\uff0c\u53ef\u7528latex\u901a\u7528\u957f\u5ea6\u5355\u4f4d\uff0c<code>\\textwidth<\/code>\u8868\u793a\u5f53\u524d\u9875\u9762\u53ef\u4e66\u5199\u533a\u57df\u7684\u5bbd\u5ea6<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>height<\/code><\/td>\n<td style=\"text-align:left\">\u9ad8\u5ea6<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\"><code>keepaspectratio<\/code><\/td>\n<td style=\"text-align:left\">\u4fdd\u7559\u7eb5\u6a2a\u6bd4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u63d2\u5165\u4e00\u4e2a\u6709caption\u4e14\u53ef\u5f15\u7528\u7684\u56fe\u7247\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{figure}[ht!]\n    <span class=\"hljs-keyword\">\\centering<\/span>\n    <span class=\"hljs-keyword\">\\includegraphics<\/span>[width=0.3<span class=\"hljs-keyword\">\\textwidth<\/span>, keepaspectratio]{assists\/Elemental<span class=\"hljs-built_in\">_<\/span>abundances.pdf}\n    <span class=\"hljs-keyword\">\\caption<\/span>{bruh}\n    <span class=\"hljs-keyword\">\\label<\/span>{heyyyyyyyyy}\n<span class=\"hljs-keyword\">\\end<\/span>{figure}\n<\/code><\/pre>\n<h2 id=\"\u7f16\u53f7\u4e0e\u5f15\u7528\">\u7f16\u53f7\u4e0e\u5f15\u7528<\/h2>\n<p>\u521a\u521a\u4e0a\u6587\u4e00\u76f4\u5728\u63d0\u5230\u4e3a\u516c\u5f0f\u3001\u56fe\u7247\u3001\u8868\u683c\u7f16\u53f7\uff0c\u90a3\u4e48\u8fd9\u4e2a\u7f16\u53f7\u6709\u4ec0\u4e48\u7528\u5462\uff1f<\/p>\n<p>\u901a\u8fc7\u7ed9\u5b83\u4eec\u6253\u4e0a\u552f\u4e00\u7684<code>\\label{UniqueIdentifier}<\/code>\uff0c\u5c31\u53ef\u4ee5\u7528<code>\\ref{UniqueIdentifier}<\/code>\u6765\u5f15\u7528\u5b83\u4eec\u3002<\/p>\n<p>\u6bd4\u5982\u6211\u4e3a\u4e00\u4e2a\u56fe\u7247\u8bbe\u7f6e\u4e86\u201cheyyyyyyyyy\u201d\u7684\u6807\u7b7e\uff1a<\/p>\n<pre><code><span class=\"hljs-keyword\">\\begin<\/span>{figure}[ht!]\n    <span class=\"hljs-keyword\">\\centering<\/span>\n    <span class=\"hljs-keyword\">\\includegraphics<\/span>[width=0.3<span class=\"hljs-keyword\">\\textwidth<\/span>, keepaspectratio]{assists\/Elemental<span class=\"hljs-built_in\">_<\/span>abundances.pdf}\n    <span class=\"hljs-keyword\">\\caption<\/span>{bruh}\n    <span class=\"hljs-keyword\">\\label<\/span>{heyyyyyyyyy}\n<span class=\"hljs-keyword\">\\end<\/span>{figure}\n<\/code><\/pre>\n<p>\u6211\u5c31\u53ef\u4ee5\u5728\u540e\u6587\u7528<code>\\ref{heyyyyyyyyy}<\/code>\u6765\u5f15\u7528\u8fd9\u5e45\u56fe\u3002<\/p>\n<p>            <script async src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex-copytex@latest\/dist\/katex-copytex.min.js\"><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6982\u8ff0 LaTeX\u6587\u6863\u7531\u4e24\u4e2a\u90e8\u5206\u7ec4\u6210\uff0c\u5bfc\u8a00\u533a\u548c\u6b63\u6587\u533a\u3002\u5bfc\u8a00\u533a\u7528\u4e8e\u89c4\u5b9a\u9875\u8fb9\u8ddd\uff0c\u5b57\u53f7\u5927\u5c0f\uff0c\u7eb8\u5f20\u5927\u5c0f\u7b49\uff0c\u6b63\u6587\u533a\u5c31\u662f\u4f60\u6587 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":560,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,19],"tags":[44,51],"class_list":["post-550","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-latex","category-tutorial","tag-latex","tag-arranging"],"_links":{"self":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts\/550","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/comments?post=550"}],"version-history":[{"count":1,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts\/550\/revisions"}],"predecessor-version":[{"id":726,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts\/550\/revisions\/726"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/media\/560"}],"wp:attachment":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/media?parent=550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/categories?post=550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/tags?post=550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}