{"id":158120,"date":"2025-10-25T11:57:20","date_gmt":"2025-10-25T03:57:20","guid":{"rendered":"https:\/\/www.campus-gpt.com\/?docs=campusgptguide\/%e6%a0%b8%e5%bf%83%e5%8a%9f%e8%83%bd%e4%b8%8e%e6%a8%a1%e5%9e%8b%e9%80%89%e6%8b%a9\/%e5%a6%82%e4%bd%95%e9%80%89%e6%8b%a9%e6%a8%a1%e5%9e%8b%ef%bc%9f\/%e9%ab%98%e7%ba%a7%e6%a8%a1%e5%9e%8b"},"modified":"2025-12-24T16:52:37","modified_gmt":"2025-12-24T08:52:37","slug":"advancedmodels","status":"publish","type":"docs","link":"https:\/\/www.campus-gpt.com\/?docs=guidebook\/features\/advancedmodels","title":{"rendered":"\u9ad8\u7ea7\u6a21\u578b"},"content":{"rendered":"\n

\u5b9a\u4f4d<\/strong>\uff1a\u79d1\u7814\u7ea7\u6df1\u5ea6\u63a8\u7406\u5927\u8111
\u53e3\u53f7<\/strong>\uff1a\u201c\u601d\u8003 20 \u6b65\uff0c\u53ea\u4e3a\u4e00\u4e2a\u5b8c\u7f8e\u7b54\u6848\u201d
6 \u6b3e\u65d7\u8230\u6a21\u578b<\/strong>\uff1a11x~150x \u6d88\u8017 \u00b7 \u4e13\u4e3a\u590d\u6742\u4efb\u52a1\u6253\u9020<\/p>\n\n\n\n

<\/div>\n\n\n\n

\u9ad8\u7ea7\u6a21\u578b\u6e05\u5355\uff08\u5b98\u65b9\u53c2\u6570\u4e00\u89c8\uff09<\/h2>\n\n\n\n
\u6a21\u578b\u540d\u79f0<\/th>\u6d88\u8017\u500d\u7387<\/th>\u4e0a\u4e0b\u6587\u7a97\u53e3<\/th>\u63a8\u7406\u7b49\u7ea7<\/th>\u77e5\u8bc6\u622a\u6b62<\/th>\u80fd\u529b\u4eae\u70b9<\/th><\/tr>
gpt-o1-mini<\/td>11x<\/td>128,000<\/td>\u2600\u2600\u2600<\/td>2023.10<\/td>\u6027\u4ef7\u6bd4\u63a8\u7406\u738b\uff0c\u6570\u5b66\/\u903b\u8f91\u5fc5\u5907<\/td><\/tr>
gpt-o3-mini<\/td>11x<\/td>200,000<\/td>\u2600\u2600\u2600\u2600<\/td>2023.10<\/td>\u957f\u94fe\u4f18\u9009\uff0c\u8de8\u7ae0\u8282\u903b\u8f91\u6821\u9a8c<\/td><\/tr>
gpt-o4-mini<\/td>11x<\/td>128,000<\/td>\u2600\u2600\u2600\u2600<\/td>2024.06<\/td>\u591a\u6a21\u6001\u63a8\u7406\uff0c\u56fe\u6587\u6570\u5b66\u878d\u5408<\/td><\/tr>
gpt-o3<\/td>20x<\/td>200,000<\/td>\u2600\u2600\u2600\u2600\u2600<\/td>2024.06<\/td>\u6700\u5f3a\u79d1\u7814\uff0c\u7a33\u5065\u590d\u6742\u63a8\u5bfc<\/td><\/tr>
gpt-5<\/td>25x<\/td>400,000<\/td>\u2600\u2600\u2600\u2600<\/td>2024.09<\/td>\u5168\u80fd\u65d7\u8230\uff0c\u6700\u5f3a\u7efc\u5408\u80fd\u529b<\/td><\/tr>
gpt-o1<\/td>150x<\/td>200,000<\/td>\u2600\u2600\u2600\u2600<\/td>2023.10<\/td>\u9ad8\u7ea7\u63a8\u7406\uff0c\u6311\u6218\u4eba\u7c7b\u7ea7\u96be\u9898<\/td><\/tr>
gpt-o3-deep-research<\/td>30x<\/td>400,000<\/td>\u2600\u2600\u2600\u2600<\/td>\u5b9e\u65f6\u63a2\u7d22<\/td>\u6df1\u5ea6\u63a8\u7406\u3001\u9ad8\u7ea7\u903b\u8f91\u95ee\u9898\u6c42\u89e3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
<\/div>\n\n\n\n

\u63a8\u7406\u94fe\u53ef\u89c6\u5316\uff08gpt-o1-mini \u793a\u4f8b\uff09<\/h2>\n\n\n\n
**<\/strong>\u4f60<\/strong>**<\/strong>\uff1a  \n\u8d39\u9a6c\u5927\u5b9a\u7406\u662f\u5426\u5b58\u5728\u521d\u7b49\u8bc1\u660e\uff1f\n\n**<\/strong>gpt-o1-mini<\/strong>**<\/strong> \ud83e\udde0\uff1a\n> \u6b63\u5728\u6df1\u5ea6\u601d\u8003\uff0812 \u6b65 \u00b7 11x \u6d88\u8017\uff09\n\n**<\/strong>\ud83d\udccb \u63a8\u7406\u94fe\uff08\u53ef\u5c55\u5f00\uff09<\/strong>**<\/strong>  \n1. **<\/strong>Wiles \u8bc1\u660e\u4f9d\u8d56<\/strong>**<\/strong>\uff1a\u6a21\u5f62\u5f0f \u2194 \u692d\u5706\u66f2\u7ebf  \n2. **<\/strong>\u521d\u7b49\u5b9a\u4e49<\/strong>**<\/strong>\uff1a\u4ec5\u4f7f\u7528\u521d\u7b49\u6570\u8bba\uff08\u52a0\u51cf\u4e58\u9664\u3001\u6574\u9664\uff09  \n3. **<\/strong>\u5386\u53f2\u5c1d\u8bd5<\/strong>**<\/strong>\uff1aEuler\u3001Kummer \u5747\u5931\u8d25  \n4. **<\/strong>n=3 \u53cd\u4f8b<\/strong>**<\/strong>\uff1a\u5df2\u8bc1\u660e\u65e0\u521d\u7b49\u89e3  \n5. **<\/strong>\u62bd\u8c61\u4ee3\u6570\u58c1\u5792<\/strong>**<\/strong>\uff1a\u9700 Galois \u8868\u793a  \n6. **<\/strong>\u7ed3\u8bba<\/strong>**<\/strong>\uff1a**<\/strong>\u65e0\u521d\u7b49\u8bc1\u660e<\/strong>**<\/strong>\uff08\u7f6e\u4fe1\u5ea6 99.9%\uff09\n<\/code><\/pre>\n\n\n\n
\u9009\u578b\u7ed3\u8bba\uff1a<\/strong><\/p>\n\n\n\n
    \n
  • \u6570\u5b66\/\u8bc1\u660e \u2192 gpt-o1-mini\uff0811x\uff09<\/li>\n\n\n\n
  • \u8bba\u6587\u903b\u8f91\u6821\u9a8c \u2192 gpt-o3\uff0820x\uff09<\/li>\n\n\n\n
  • \u8de8\u9886\u57df\u878d\u5408 \u2192 gpt-5\uff0825x\uff09<\/li>\n\n\n\n
  • \u7ec8\u6781\u96be\u9898 \u2192 gpt-o1\uff08150x\uff09<\/li>\n<\/ul>\n\n\n\n
    <\/div>\n\n\n\n
    \u63a8\u8350\u4f7f\u7528\u573a\u666f\uff08\u5e26\u5b9e\u6218\u6307\u4ee4\uff09<\/h2>\n\n\n\n
    \u573a\u666f<\/th>\u9996\u9009\u6a21\u578b<\/th>\u4e00\u53e5\u6307\u4ee4\u793a\u4f8b<\/th><\/tr>
    \u6570\u5b66\u8bc1\u660e<\/td>gpt-o1-mini<\/td>\u4e00\u6b65\u6b65\u8bc1\u660e\u62c9\u9a6c\u52aa\u91d1\u65e0\u7a77\u7ea7\u6570\u6536\u655b\u6027<\/td><\/tr>
    \u8bba\u6587\u903b\u8f91\u81ea\u6d3d\u6027<\/td>gpt-o3<\/td>\u6821\u9a8c\u5168\u6587\u8bba\u8bc1\u662f\u5426\u6709\u5faa\u73af\u4f9d\u8d56<\/td><\/tr>
    \u8de8\u5b66\u79d1\u878d\u5408<\/td>gpt-5<\/td>\u7ed3\u5408\u7269\u7406+AI\uff0c\u8bbe\u8ba1\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u67b6\u6784<\/td><\/tr>
    \u56fe\u6587\u63a8\u7406<\/td>gpt-o4-mini<\/td>\u4e0a\u4f20\u516c\u5f0f\u56fe\uff0c\u63a8\u5bfc\u4e2d\u95f4\u6b65\u9aa4<\/td><\/tr>
    \u6311\u6218 IMO \u91d1\u724c\u9898<\/td>gpt-o1<\/td>\u89e3\u51b3 2025 \u5e74 IMO P6\uff0c\u8be6\u7ec6\u5199\u89e3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    <\/div>\n\n\n\n
    \u5e38\u89c1\u95ee\u9898 (FAQ)<\/h2>\n\n\n\n
    \u95ee\u9898<\/th>\u89e3\u7b54<\/th><\/tr>
    11x \u592a\u8d35\u4e86\uff1f<\/td>o1-mini \u5df2\u662f\u6700\u4f18\u6027\u4ef7\u6bd4\uff0c\u9002\u5408 90% \u63a8\u7406\u4efb\u52a1<\/td><\/tr>
    \u63a8\u7406\u592a\u6162\uff1f<\/td>\u6b63\u5e38\uff0111x \u6a21\u578b\u9700 5~15 \u79d2\uff0co1 \u53ef\u8fbe 30 \u79d2<\/td><\/tr>
    \u80fd\u5173\u63a8\u7406\u94fe\u5417\uff1f<\/td>\u5173\u95ed \u201c\u6df1\u5ea6\u601d\u8003\u6a21\u5f0f\u201d<\/td><\/tr>
    \u652f\u6301\u4e2d\u6587\u8bc1\u660e\u5417\uff1f<\/td>\u5b8c\u5168\u652f\u6301\uff0c\u81ea\u52a8\u751f\u6210\u4e2d\u82f1\u53cc\u8bed\u8bc1\u660e\u7a3f<\/td><\/tr>
    \u8bb0\u5f55\u4f1a\u4fdd\u5b58\u5417\uff1f<\/td>\u4e0d\u505a\u4efb\u4f55\u6570\u636e\u4fdd\u5b58<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"
    \u5b9a\u4f4d\uff1a\u79d1\u7814\u7ea7\u6df1\u5ea6\u63a8\u7406\u5927\u8111\u53e3\u53f7\uff1a\u201c\u601d\u8003 20 \u6b65\uff0c\u53ea …<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":146420,"menu_order":18,"comment_status":"closed","ping_status":"closed","template":"","doc_tag":[],"class_list":["post-158120","docs","type-docs","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/docs\/158120","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=158120"}],"version-history":[{"count":7,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/docs\/158120\/revisions"}],"predecessor-version":[{"id":212829,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/docs\/158120\/revisions\/212829"}],"up":[{"embeddable":true,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=\/wp\/v2\/docs\/146420"}],"wp:attachment":[{"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=158120"}],"wp:term":[{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.campus-gpt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fdoc_tag&post=158120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}