{"id":344,"date":"2026-05-01T20:05:55","date_gmt":"2026-05-01T12:05:55","guid":{"rendered":"https:\/\/www.yukimia.top\/?p=344"},"modified":"2026-05-02T01:12:24","modified_gmt":"2026-05-01T17:12:24","slug":"344","status":"publish","type":"post","link":"https:\/\/www.yukimia.top\/?p=344","title":{"rendered":"aiChat\u5f00\u53d1\u65e5\u5fd71\uff1a\u5982\u4f55\u5c06AI\u7684\u751f\u6210\u7684LaTeX\u4ee3\u7801\u8f6c\u6362\u6210\u516c\u5f0f"},"content":{"rendered":"\n

\u5f00\u53d1\u65e5\u5fd7\u6ca1\u5565\u5148\u540e\u987a\u5e8f\uff0c\u60f3\u5230\u54ea\u4e2a\u5c31\u5148\u8bb0\u5f55\u54ea\u4e2a\uff0c\u4e3b\u8981\u76ee\u7684\u662f\u4e3a\u4e86\u7ed9\u5bf9\u8fd9\u4e2a\u4e1c\u897f\u611f\u5174\u8da3\u7684\u4f19\u4f34\u5206\u4eab\u5fc3\u5f97\uff0c\u4f9b\u6211\u548c\u5927\u5bb6\u4e00\u8d77\u53c2\u8003\uff0c\u5185\u5bb9\u4e0d\u4e00\u5b9a\u662f\u6700\u4f18\u89e3\uff0c\u4f46\u80fd\u8dd1\uff08\u8981\u4e0d\u7136\u90a3\u4e2a\u7f51\u9875\u4e5f\u7528\u4e0d\u4e86\uff09\u3002<\/p>\n\n\n\n

\u5f00\u53d1\u65e5\u5fd7\u5e94\u8be5\u90fd\u4f1a\u5f00\u542f\u8bc4\u8bba\uff0c\u6b22\u8fce\u770b\u5230\u7684\u5c0f\u4f19\u4f34\u53c2\u4e0e\u8ba8\u8bba\u5427\u3002<\/p>\n\n\n\n

\u4e0b\u9762\u8bb0\u5f55\u7684ai\u804a\u5929\u529f\u80fd\u662f\u57fa\u4e8e\u901a\u4e49\u5343\u95ee\u7684\u6a21\u578b\u642d\u5efa\uff0c\u5982\u679c\u60a8\u4f7f\u7528\u7684\u662f\u5176\u4ed6\u54c1\u724c\uff0c\u4fe1\u606f\u7684\u6536\u53d1\u4ee5\u53caAPI\u8c03\u7528\u90e8\u5206\u53ef\u80fd\u4f1a\u6709\u5dee\u522b\uff0c\u8fd8\u8bf7\u7559\u610f\u3002<\/p>\n\n\n\n

1 \u4ec5\u6e32\u67d3\u9875\u9762\u56fa\u6709\u7684\u516c\u5f0f<\/h2>\n\n\n\n

\u5728\u6ca1\u6709\u6dfb\u52a0LaTeX\u6570\u5b66\u516c\u5f0f\u6e32\u67d3\u5e93\u4e4b\u524d\uff0cAI\u7684\u56de\u590d\u5185\u5bb9\u4f1a\u663e\u793a\u6210\u8fd9\u6837\uff1a<\/p>\n\n\n\n

$x^2 + y^2 = z^2$<\/code><\/pre>\n\n\n\n
\u76ee\u524d\u6700\u6d41\u884c\u4e14\u8f7b\u91cf\u7ea7\u7684\u9009\u62e9\u662f MathJax<\/strong>\uff0c\u5b83\u53ef\u4ee5\u5728\u6d4f\u89c8\u5668\u4e2d\u52a8\u6001\u5c06LaTeX\u4ee3\u7801\u8f6c\u6362\u4e3a\u7f8e\u89c2\u7684\u6570\u5b66\u516c\u5f0f\uff0c\u4e00\u822c\u6e32\u67d3\u7f51\u7ad9\u5df2\u7ecf\u5b58\u5728\u7684\u516c\u5f0f\u5f88\u7b80\u5355\uff0c\u53ea\u9700\u8981\u5728\u7f51\u7ad9\u7684HTML\u52a0\u5165MathJax\u7684js\u5e93\u7136\u540e\u5728body\u6807\u7b7e\u91cc\u9762\u8c03\u7528\u5c31\u53ef\u4ee5\u4e86\uff0c\u5927\u6982\u7684\u7ed3\u6784\u5c31\u662f\uff1a<\/p>\n\n\n\n
\u5728HTML\u6587\u4ef6\u7684<head><\/code>\u6807\u7b7e\u4e2d\u6dfb\u52a0\u4ee5\u4e0b\u4ee3\u7801\uff0c\u5373\u53ef\u5b8c\u6210\u914d\u7f6e\u3002<\/p>\n\n\n\n
<!-- \u5f15\u5165KaTeX\u6838\u5fc3CSS\u6837\u5f0f --><\/em>\n<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.10\/dist\/katex.min.css\">\n<!-- \u5f15\u5165KaTeX\u6838\u5fc3JS\u5e93 --><\/em>\n<script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.10\/dist\/katex.min.js\"><\/script>\n<!-- \u5f15\u5165\u81ea\u52a8\u6e32\u67d3\u6269\u5c55 --><\/em>\n<script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.10\/dist\/contrib\/auto-render.min.js\"><\/script><\/code><\/pre>\n\n\n\n
\u7136\u540e\u5728<body><\/code>\u6807\u7b7e\u7684\u4efb\u610f\u4f4d\u7f6e\u63d2\u5165\u4e0b\u9762\u7684\u4ee3\u7801\u8fdb\u884c\u521d\u59cb\u5316\u4e0e\u914d\u7f6e\uff0c\u516c\u5f0f\u5206\u9694\u7b26\u53c2\u8003\u8bbe\u7f6e\u5982\u4e0b<\/a><\/a>\uff08\u8bbe\u7f6e display: true<\/code> \u8868\u793a\u72ec\u7acb\u6210\u884c\u7684\u5757\u7ea7\u516c\u5f0f\uff0cdisplay: false<\/code>\u5219\u4e3a\u884c\u5185\u516c\u5f0f\uff09\uff1a<\/p>\n\n\n\n
<script>\n    document.addEventListener(\"DOMContentLoaded\", function() {\n        renderMathInElement(document.body, {\n            delimiters: [\n                {left: '$$', right: '$$', display: true},    \/\/ \u4f8b\u5982\uff1a$$ E = mc^2 $$<\/em>\n                {left: '\\\\[', right: '\\\\]', display: true},  \/\/ \u4f8b\u5982\uff1a\\[ F = ma \\]<\/em>\n                {left: '\\\\(', right: '\\\\)', display: false}, \/\/ \u4f8b\u5982\uff1a\\( E = mc^2 \\)<\/em>\n                {left: '$', right: '$', display: false}      \/\/ \u6ce8\u610f\uff1a\u53ef\u80fd\u4e0e\u7f8e\u5143\u7b26\u53f7\u51b2\u7a81<\/em>\n            ],\n            throwOnError: false \/\/ \u8bbe\u4e3afalse\u53ef\u5728\u516c\u5f0f\u9519\u8bef\u65f6\u663e\u793a\u9519\u8bef\u4fe1\u606f\uff0c\u907f\u514d\u9875\u9762\u5d29\u6e83[reference:6]<\/em>\n        });\n    });\n<\/script><\/code><\/pre>\n\n\n\n
\u8fd9\u6837\u5b50\u6574\u4e2a\u9875\u9762\u7684LaTeX\u4ee3\u7801\u90fd\u4f1a\u53d8\u6210\u597d\u5eb7\u7684\u516c\u5f0f\u4e86\uff0c\u4e0d\u8fc7\u8fd9\u4e0d\u662f\u91cd\u70b9\u3002<\/p>\n\n\n\n
2  \u5c06AI\u7684\u751f\u6210\u7684LaTeX\u4ee3\u7801\u8f6c\u6362\u6210\u516c\u5f0f<\/h2>\n\n\n\n
\u7531\u4e8eAI\u751f\u6210\u7684\u5185\u5bb9\u662f\u5916\u6765\u63a5\u5165\u7684\uff0c\u7b2c1\u8282\u4e2d\u7684\u4ee3\u7801\u6ca1\u6cd5\u5bf9\u4e2d\u9014\u4ea7\u751f\u7684\u5185\u5bb9\u8fdb\u884c\u8f6c\u6362\uff0c\u4ee5\u6211\u4eec\u96e8\u4e4b\u5ead\u7684aiChat\u4e3a\u4f8b\uff0c\u53ea\u597d\u5c06\u4e0a\u9762\u7684\u5185\u5bb9\u63d2\u5165\u5230\u5b83\u7684script.js\u91cc\u9762\u53bb\uff0c\u5e76\u4e14\u5c0f\u4fee\u4e00\u4e0bjs\u91cc\u7684\u6587\u672c\u5904\u7406\u7a0b\u5e8f\u3002<\/a><\/p>\n\n\n\n
2.1  \u52a8\u6001\u52a0\u8f7d MathJax \u6570\u5b66\u516c\u5f0f\u5e93<\/h3>\n\n\n\n
\u5c06\u7b2c1\u8282\u4e2d\u7684\u4ee3\u7801\u6574\u5408\u6539\u6210\u4e0b\u5217\u5f62\u5f0f\uff0c\u653e\u5230js\u7684\u5f00\u5934\u3002<\/p>\n\n\n\n
\/\/ --- \u52a8\u6001\u52a0\u8f7d MathJax \u6570\u5b66\u516c\u5f0f\u5e93 ---\n(function () {\nif (window.MathJax) return;\nconst script = document.createElement('script');\nscript.src = 'https:\/\/polyfill.io\/v3\/polyfill.min.js?features=es6';\nscript.async = true;\ndocument.head.appendChild(script);\nconst script2 = document.createElement('script');\nscript2.src = 'https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js';\nscript2.async = true;\nwindow.MathJax = {\n    tex: {\n        inlineMath: [['$', '$'], ['\\\\(', '\\\\)']],\n        displayMath: [['$$', '$$'], ['\\\\[', '\\\\]']]\n    },\n    options: { skipHtmlTags: ['script', 'noscript', 'style', 'textarea'] }\n};\ndocument.head.appendChild(script2);\n})();<\/code><\/pre>\n\n\n\n
2.2  \u5b9a\u4e49\u8fdb\u884c\u516c\u5f0f\u6e32\u67d3\u7684\u51fd\u6570<\/h3>\n\n\n\n
\u8fd9\u4e2a\u662f\u6267\u884c\u6e32\u67d3\u7684\u6838\u5fc3\uff0c\u4f4d\u7f6e\u5012\u662f\u80fd\u968f\u4fbf\u6446\uff0c\u4e0d\u8fc7\u4e00\u822c\u653e\u57282.3\u7684\u4e24\u4e2a\u51fd\u6570\u4e4b\u540e\u3002<\/p>\n\n\n\n
\/\/ --- \u65b0\u589e\uff1aMathJax \u6e32\u67d3\u51fd\u6570 ---\nfunction renderMathInElement(element) {\n    if (window.MathJax && window.MathJax.typeset) {\n        try {\n            window.MathJax.typesetClear(); \n            window.MathJax.typeset([element]); \/\/ \u6e32\u67d3\u8fd9\u4e2a\u7279\u5b9a\u5143\u7d20\n        } catch (err) {\n            console.warn('MathJax \u6e32\u67d3\u5931\u8d25:', err);\n        }\n    } else {\n        \/\/ \u5982\u679c\u5e93\u8fd8\u6ca1\u52a0\u8f7d\u597d\uff0c\u7a0d\u5fae\u7b49\u4e00\u4e0b\u518d\u8bd5\n        setTimeout(() => renderMathInElement(element), 100);\n    }\n}<\/code><\/pre>\n\n\n\n
2.3  \u4fee\u6539 displayMessage \u548c typeWriterEffect \u51fd\u6570<\/h3>\n\n\n\n
\u6309\u7406\u6765\u8bb2\uff0cAI\u5e94\u8be5\u5728\u751f\u6210\u4e00\u6761\u516c\u5f0f\u7684\u4ee3\u7801\u540e\uff0c\u65e0\u8bba\u540e\u9762\u662f\u5426\u6709\u5185\u5bb9\u751f\u6210\uff0c\u90fd\u5e94\u8be5\u5148\u5c06\u8fd9\u4e2a\u516c\u5f0f\u4ee3\u7801\u8fdb\u884c\u6e32\u67d3\uff0c\u4f46\u662f\u641e\u8fd9\u4e2a\u53c8\u8981\u591a\u52a0\u4e00\u5806\u6761\u4ef6\uff0c\u4ec0\u4e48\u5f02\u6b65\u4e0e\u540c\u6b65\u7684\uff0c\u7d22\u6027\u4e0d\u5e72\u4e86<\/s>\uff0c\u56e0\u6b64\uff0c\u6211\u662f\u5c06\u8fd9\u4e2a\u663e\u793aAI\u4fe1\u606f\u7684\u51fd\u6570displayMessage\u7684\u6700\u5e95\u90e8\u7684 if (role === 'bot')<\/code> \u91cc\u52a0\u5165\u4e00\u4e2a\u56de\u8c03\u51fd\u6570\uff0c\u8fd9\u6837\u5b50\u7684\u8bdd\uff0c\u5c31\u53ea\u6709\u5f53AI\u7ed3\u679c\u751f\u6210\u7ed3\u675f\u540e\uff0c\u624d\u4f1a\u8fdb\u884c\u516c\u5f0f\u7684\u6e32\u67d3\uff08\u867d\u7136\u8fc7\u7a0b\u4e0d\u597d\u770b\uff0c\u4f46\u662f\u7ed3\u679c\u597d\u770b\u5c31\u884c\u4e86\uff09\u3002<\/p>\n\n\n\n
if (role === 'bot') {\n \/\/ \ud83d\udc47 \u4fee\u6539\u8fd9\u91cc\uff1a\u6e05\u7a7a\u5185\u5bb9\uff0c\u5e76\u5728\u6253\u5b57\u673a\u5b8c\u6210\u540e\u89e6\u53d1\u516c\u5f0f\u6e32\u67d3<\/em>\n messageContent.innerHTML = ''; typeWriterEffect(messageContent, message, () => { renderMathInElement(messageContent); \/\/ \u6253\u5b57\u5b8c\u6210\u540e\u6e32\u67d3\u516c\u5f0f<\/em> }); }<\/code><\/pre>\n\n\n\n
\u7136\u540e\u662ftypeWriterEffect\u51fd\u6570\uff0c\u8fd9\u662f\u5904\u7406\u6253\u5b57\u673a\u7279\u6548\u7684\uff0c\u4e3b\u8981\u5173\u6ce8\u8981\u4fee\u6539\u7684\u90e8\u5206\uff0c\u5c31\u662f\u8fd9\u4e00\u5757\u8fd0\u884c\u7ed3\u675f\u540ecallback\u6267\u884crenderMathInElement\u51fd\u6570\uff0c\u8fd9\u6837\u5c31\u80fd\u5b8c\u6210AI\u751f\u6210\u5185\u5bb9\u91cc\u7684\u516c\u5f0f\u6e32\u67d3\u4e86\u3002<\/p>\n\n\n\n
\/\/ 3. \u6253\u5b57\u673a\u6548\u679c\u6838\u5fc3\u51fd\u6570 \nfunction typeWriterEffect(element, text, callback) { \/\/ \ud83d\udc48 \u589e\u52a0 callback \u53c2\u6570 \n...\n...\nfunction type() { \nif (i < text.length) {\n element.innerHTML = formatMessage(text.substring(0, i + 1)); i++; setTimeout(type, speed); element.scrollIntoView({ behavior: 'smooth', block: 'end' }); \n} else {\n \/\/ \ud83d\udc47 \u589e\u52a0\u8fd9\u91cc\uff1a\u6253\u5b57\u7ed3\u675f\u540e\uff0c\u6267\u884c\u56de\u8c03\u51fd\u6570 \nif (callback) callback(); } } type(); }<\/code><\/pre>\n\n\n\n
3  \u7ed3\u679c\u5c55\u793a<\/h2>\n\n\n\n
\u6765\u770b\u770b\u6548\u679c\uff0c\u968f\u4fbf\u5199\u4e2a\u8ba9ai\u4f1a\u5192\u51fa\u516c\u5f0f\u7684\u95ee\u9898\uff0c\u5728ai\u751f\u6210\u5185\u5bb9\u7684\u8fc7\u7a0b\u4e2d\uff0c\u516c\u5f0f\u672a\u7ecf\u8fc7\u6e32\u67d3\u3002<\/p>\n\n\n
\n
\"\"<\/div><\/figure>\n<\/div>\n\n\n
\u5185\u5bb9\u5168\u90e8\u751f\u6210\u540e\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5927\u529f\u544a\u6210\u3002<\/p>\n\n\n
\n
\"\"<\/div><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"
\u5f00\u53d1\u65e5\u5fd7\u6ca1\u5565\u5148\u540e\u987a\u5e8f\uff0c\u60f3\u5230\u54ea\u4e2a\u5c31\u5148\u8bb0\u5f55\u54ea\u4e2a\uff0c\u4e3b\u8981\u76ee\u7684\u662f\u4e3a\u4e86\u7ed9\u5bf9\u8fd9\u4e2a\u4e1c\u897f\u611f\u5174\u8da3\u7684\u4f19\u4f34\u5206\u4eab\u5fc3\u5f97\uff0c\u4f9b\u6211\u548c\u5927\u5bb6\u4e00\u8d77\u53c2\u8003 […]<\/p>\n","protected":false},"author":1,"featured_media":359,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,16],"tags":[],"class_list":["post-344","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-18","category-16"],"_links":{"self":[{"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/posts\/344","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=344"}],"version-history":[{"count":11,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/posts\/344\/revisions"}],"predecessor-version":[{"id":387,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/posts\/344\/revisions\/387"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=\/wp\/v2\/media\/359"}],"wp:attachment":[{"href":"https:\/\/www.yukimia.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yukimia.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}