{"id":13041,"date":"2026-03-24T05:00:30","date_gmt":"2026-03-24T09:00:30","guid":{"rendered":"https:\/\/wp.glbgpt.com\/?p=13041"},"modified":"2026-07-28T23:31:33","modified_gmt":"2026-07-29T03:31:33","slug":"best-ai-math-solver-tested","status":"publish","type":"post","link":"https:\/\/wp.glbgpt.com\/zh-hk\/hub\/best-ai-math-solver-tested","title":{"rendered":"\u6700\u4f73 AI \u6578\u5b78\u89e3\u7b97\u5668 (2026)\uff1a\u7d93\u904e\u6e2c\u8a66\u53ef\u7372\u5f97\u7cbe\u78ba\u7d50\u679c\u7684\u5de5\u5177"},"content":{"rendered":"<style>.math-test-grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px}.math-test-card{box-sizing:border-box;min-width:0;overflow:hidden}.model-output-details{margin-top:8px}.model-output-details summary{display:block;cursor:pointer;overflow-wrap:anywhere;border:1px solid #52709a;background:#eef4fb;color:#173b63;border-radius:7px;padding:11px 13px;font-weight:700;min-height:22px}.model-output-details summary::-webkit-details-marker{display:none}.model-output-details summary:focus-visible{outline:3px solid #2457d6;outline-offset:3px}.model-output-details .output-hide{display:none}.model-output-details[open] .output-show{display:none}.model-output-details[open] .output-hide{display:inline}.model-output-details pre{white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto}@media(max-width:680px){.math-test-grid{grid-template-columns:1fr}.math-test-card{padding:14px!important}.model-output-details summary{padding:12px!important}}<\/style>\n\n\n\n<div class=\"glb-test-update\" style=\"border:1px solid #b9d7c4;background:#effaf3;border-radius:8px;padding:16px 18px;margin:0 0 18px\"><strong>\u6700\u65b0\u6e2c\u8a66\uff0c2026\u5e747\u670828\u65e5\uff1a<\/strong> \u6211\u5011\u4f7f\u7528\u4e00\u500b\u8207 OpenAI \u76f8\u5bb9\u7684 API \u5de5\u4f5c\u6d41\u7a0b\uff0c\u5206\u5225\u8b93 GPT-5.6 Sol\u3001Claude Opus 5 \u4ee5\u53ca Gemini 3.6 Flash \u57f7\u884c\u540c\u4e00\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u6578\u5b78\u6e2c\u9a57\u3002\u9019\u4e09\u8005\u7686\u6b63\u78ba\u89e3\u7b54\u4e86\u5168\u90e8\u4e94\u9053\u984c\u76ee\uff0c\u4e26\u9a57\u8b49\u4e86\u5176\u7b54\u6848\u3002 \u5728\u9019\u9805\u5c0f\u578b\u6e2c\u8a66\u4e2d\uff0c\u5177\u6709\u5be6\u8cea\u610f\u7fa9\u7684\u5dee\u7570\u5728\u65bc\u56de\u61c9\u98a8\u683c\u8207\u55ae\u6b21\u57f7\u884c\u5ef6\u9072\u2014\u2014\u800c\u975e\u6b63\u78ba\u6027\u3002.<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5feb\u901f\u56de\u7b54\uff1a<\/strong> \u5728\u672c\u6b21\u6e2c\u8a66\u4e2d\uff0c\u6c92\u6709\u4efb\u4f55\u4e00\u6b3e\u7522\u54c1\u7372\u5f97\u300c\u7cbe\u6e96\u5ea6\u51a0\u8ecd\u300d\u7684\u7a31\u865f\u3002GPT-5.6 Sol\u3001Claude Opus 5 \u4ee5\u53ca Gemini 3.6 Flash \u5747\u7372\u5f97 5\/5 \u7684\u5206\u6578\u3002 Gemini 3.6 Flash \u4ee5 17.45 \u79d2\u7387\u5148\u5b8c\u6210\uff0cClaude Opus 5 \u4ee5 17.89 \u79d2\u7dca\u96a8\u5176\u5f8c\uff0c\u800c GPT-5.6 Sol \u5247\u8017\u6642 32.85 \u79d2\u3002 \u9019\u4e9b\u6642\u9593\u6578\u64da\u662f\u57fa\u65bc\u6bcf\u500b\u6a21\u578b\u5404\u9032\u884c\u4e00\u6b21 API \u8acb\u6c42\u6240\u7372\u5f97\u7684\uff0c\u56e0\u6b64\u4e0d\u61c9\u88ab\u8996\u70ba\u901a\u7528\u7684\u901f\u5ea6\u57fa\u6e96\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u512a\u79c0\u7684 AI \u6578\u5b78\u89e3\u984c\u5de5\u5177\uff0c\u5fc5\u9808\u80fd\u7d66\u51fa\u6b63\u78ba\u7b54\u6848\u3001\u5c55\u793a\u53ef\u4f9b\u9a57\u8b49\u7684\u89e3\u984c\u904e\u7a0b\u3001\u7b26\u5408\u8981\u6c42\u7684\u683c\u5f0f\uff0c\u4e26\u80fd\u6aa2\u67e5\u96b1\u542b\u689d\u4ef6\u3002\u6b63\u56e0\u5982\u6b64\uff0c\u6211\u5011\u7684\u6e2c\u8a66\u5167\u5bb9\u6db5\u84cb\u4e86\u666e\u901a\u4ee3\u6578\u3001\u5e7e\u4f55\u61c9\u7528\u984c\u3001\u591a\u6b65\u9a5f\u767e\u5206\u6bd4\u984c\u3001\u591a\u9918\u6839\u9677\u9631\uff0c\u4ee5\u53ca\u5fae\u7a4d\u5206\u2014\u2014\u800c\u4e0d\u50c5\u50c5\u662f\u7c21\u55ae\u7684\u6c42\u6700\u7d42\u7b54\u6848\u984c\u3002.<\/p>\n\n\n\n<nav class=\"glb-article-toc\" aria-label=\"\u76ee\u9304\" style=\"border:1px solid #f3d18b;background:#fff8e6;border-radius:8px;padding:18px;margin:18px 0\"><strong>\u76ee\u9304<\/strong><ul><li><a href=\"#how-we-tested\">\u6e2c\u8a66\u65b9\u6cd5<\/a><\/li><li><a href=\"#results\">\u7d50\u679c\u4e00\u89bd<\/a><\/li><li><a href=\"#five-tests\">\u4e94\u4efd\u6578\u5b78\u6e2c\u9a57<\/a><\/li><li><a href=\"#choose\">\u60a8\u61c9\u8a72\u9078\u64c7\u54ea\u7a2e\u6c42\u89e3\u5668\uff1f<\/a><\/li><li><a href=\"#globalgpt-math-solver\">\u4f7f\u7528 GlobalGPT \u6578\u5b78\u89e3\u984c\u5668<\/a><\/li><li><a href=\"#better-results\">\u5982\u4f55\u7372\u5f97\u66f4\u597d\u7684\u6210\u679c<\/a><\/li><li><a href=\"#faq\">\u5e38\u898b\u554f\u984c<\/a><\/li><\/ul><\/nav>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"how-we-tested\">\u6211\u5011\u5982\u4f55\u6e2c\u8a66\u6700\u4f73\u7684 AI \u6578\u5b78\u89e3\u984c\u5de5\u5177<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u5011\u900f\u904e\u540c\u4e00\u7d44\u7d93\u6838\u51c6\u7684 API \u9023\u7dda\uff0c\u6e2c\u8a66\u4e86\u76ee\u524d\u53ef\u53d6\u5f97\u7684\u6700\u65b0\u76f8\u95dc\u6a21\u578b\uff1aGPT-5.6 Sol\u3001Claude Opus 5 \u4ee5\u53ca Gemini 3.6 Flash\u3002\u6211\u5011\u5df2\u5c07\u9019\u4e9b\u6a21\u578b\u540d\u7a31\u8207\u73fe\u6709\u7684 API \u76ee\u9304\u4ee5\u53ca\u4f9b\u61c9\u5546\u7684\u6700\u65b0\u7db2\u9801\u9032\u884c\u6bd4\u5c0d\uff0c\u4ee5\u78ba\u8a8d <a href=\"https:\/\/openai.com\/index\/introducing-gpt-5-6\/\" target=\"_blank\" rel=\"noreferrer noopener\">GPT-5.6<\/a>, <a href=\"https:\/\/www.anthropic.com\/news\/claude-opus-5\" target=\"_blank\" rel=\"noreferrer noopener\">Claude Opus 5<\/a>, \u4ee5\u53ca <a href=\"https:\/\/blog.google\/innovation-and-ai\/models-and-research\/gemini-models\/\" target=\"_blank\" rel=\"noreferrer noopener\">Gemini 3.6 \u9583\u5149\u71c8<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bcf\u500b\u6a21\u578b\u90fd\u6536\u5230\u76f8\u540c\u7684\u7cfb\u7d71\u6307\u793a\uff0c\u4e26\u5728\u55ae\u4e00\u8acb\u6c42\u4e2d\u7372\u5f97\u76f8\u540c\u7684\u4e94\u500b\u554f\u984c\u3002\u6211\u5011\u4e26\u672a\u63d0\u4f9b\u6eab\u5ea6\u503c\uff0c\u4e5f\u672a\u8a2d\u5b9a\u4efb\u4f55\u7279\u5b9a\u65bc\u8a72\u6a21\u578b\u7684\u53d6\u6a23\u53c3\u6578\u3002\u6bcf\u500b\u7b54\u6848\u90fd\u5fc5\u9808\u5305\u542b\u89e3\u984c\u6b65\u9a5f\u3001\u6700\u7d42\u7b54\u6848\u4ee5\u53ca\u9a57\u8b49\u904e\u7a0b\u3002\u672a\u8981\u6c42\u4f7f\u7528\u7db2\u8def\u641c\u5c0b\u6216\u5916\u90e8\u6578\u5b78\u5de5\u5177\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5f97\u5206\u5340<\/th><th>\u6211\u5011\u6aa2\u67e5\u4e86\u4ec0\u9ebc<\/th><th>\u91cd\u91cf<\/th><\/tr><\/thead><tbody><tr><td>\u6b63\u78ba\u6027<\/td><td>\u4e94\u9053\u984c\u76ee\u7686\u7b54\u5c0d\uff0c\u6700\u7d42\u6210\u7e3e\u6b63\u78ba<\/td><td>50%<\/td><\/tr><tr><td>\u6b65\u614b\u54c1\u8cea<\/td><td>\u53ef\u5be9\u8a08\u7684\u65b9\u6cd5\uff0c\u4e26\u986f\u793a\u4e86\u91cd\u8981\u7684\u8f49\u63db\u6b65\u9a5f<\/td><td>20%<\/td><\/tr><tr><td>\u64cd\u4f5c\u8aaa\u660e\u5982\u4e0b<\/td><td>\u6240\u9700\u6a19\u7c64\u53ca\u6bcf\u9805\u4efb\u52d9\u7684\u5b8c\u6574\u6db5\u84cb\u7bc4\u570d<\/td><td>15%<\/td><\/tr><tr><td>\u9a57\u8b49<\/td><td>\u53cd\u4ee3\u5165\u6cd5\u3001\u689d\u4ef6\u6aa2\u67e5\u6216\u5fae\u5206\u6cd5<\/td><td>15%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e94\u500b\u554f\u984c\u96d6\u8db3\u4ee5\u63ed\u9732\u660e\u986f\u7684\u5f31\u9ede\uff0c\u4f46\u5c1a\u4e0d\u8db3\u4ee5\u8b49\u660e\u67d0\u7a2e\u6a21\u578b\u5728\u6578\u5b78\u7684\u6bcf\u500b\u5206\u652f\u4e2d\u90fd\u662f\u6700\u4f73\u9078\u64c7\u3002\u5982\u6b32\u9032\u884c\u66f4\u5ee3\u6cdb\u7684\u5b78\u751f\u8207\u5de5\u5177\u6bd4\u8f03\uff0c\u8acb\u53c3\u95b1 <a href=\"https:\/\/www.glbgpt.com\/hub\/best-ai-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6700\u9069\u5408\u505a\u4f5c\u696d\u7684\u4eba\u5de5\u667a\u6167\u5de5\u5177<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"results\">\u771f\u5be6 API \u6e2c\u8a66\u7d50\u679c\u4e00\u89bd<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u6a21\u578b<\/th><th>\u6b63\u78ba\u7b54\u6848<\/th><th>\u6b63\u78ba\u6027<\/th><th>\u6b65\u9a5f<\/th><th>\u64cd\u4f5c\u8aaa\u660e\u5982\u4e0b<\/th><th>\u9a57\u8b49<\/th><th>\u7e3d\u8a08<\/th><th>\u55ae\u6b21\u57f7\u884c\u5ef6\u9072<\/th><\/tr><\/thead><tbody><tr><td>GPT-5.6 Sol<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>32.85 \u79d2<\/td><\/tr><tr><td>Claude Opus 5<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>17.89 \u79d2<\/td><\/tr><tr><td>Gemini 3.6 \u9583\u5149\u71c8<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>17.45 \u79d2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5224\u6c7a\uff1a<\/strong> \u5728\u9019\u9805\u6e2c\u8a66\u4e2d\uff0c\u9019\u4e09\u7a2e\u6a21\u578b\u5728\u6578\u5b78\u6b63\u78ba\u6027\u8207\u9a57\u8b49\u65b9\u9762\u5747\u4e26\u5217\u7b2c\u4e00\u3002Gemini 3.6 Flash \u4ee5\u5fae\u5f31\u512a\u52e2\u9818\u5148 Claude Opus 5\uff0c\u6210\u70ba\u6700\u5feb\u7684\u6a21\u578b\u3002GPT-5.6 Sol \u7522\u51fa\u4e86\u6700\u8a73\u76e1\u4e14\u7d50\u69cb\u6700\u5b8c\u5584\u7684\u7b54\u6848\uff0c\u4f46\u5728\u9019\u6b21\u55ae\u6b21\u57f7\u884c\u4e2d\u901f\u5ea6\u8f03\u6162\u3002 \u5728\u672a\u9032\u884c\u91cd\u8907\u6e2c\u8a66\u7684\u60c5\u6cc1\u4e0b\uff0c\u8acb\u52ff\u5c07\u9019\u4e09\u7d44\u5ef6\u9072\u6578\u503c\u76f4\u63a5\u8f49\u5316\u70ba\u666e\u904d\u7684\u901f\u5ea6\u6392\u540d\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u60a8\u6b63\u5728\u8003\u616e\u9078\u64c7 OpenAI \u578b\u865f\u6216\u5176\u4ed6\u66ff\u4ee3\u65b9\u6848\uff0c\u90a3\u9ebc <a href=\"https:\/\/www.glbgpt.com\/hub\/best-chatgpt-alternatives-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">2026 \u5e74 ChatGPT \u6578\u5b78\u79d1\u76ee\u7684\u66ff\u4ee3\u9078\u9805\u6bd4\u8f03<\/a> \u6db5\u84cb\u66f4\u5ee3\u6cdb\u7684\u9078\u9805\u7bc4\u570d\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"five-tests\">\u6211\u5011\u4f7f\u7528\u7684\u4e94\u9053\u6578\u5b78\u984c\u76ee<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6e2c\u9a57 1\uff1a\u4ee3\u6578\u8207\u5c0d\u7a31\u8868\u9054\u5f0f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u4ee3\u6578 \u00b7 \u6046\u7b49\u5f0f\u7684\u61c9\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q1\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 1\uff1a\u4ee3\u6578\u8207\u5c0d\u7a31\u8868\u9054\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u4ee3\u6578 \u00b7 \u6046\u7b49\u5f0f\u7684\u61c9\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u984c 1 \u2014 \u4ee3\u6578\uff1a\u5be6\u6578 x \u548c y \u6eff\u8db3 x + y = 11 \u53ca xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u4e26\u78ba\u5b9a\u7121\u5e8f\u5c0d {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u9808\u4e00\u8cab\u5730\u4f7f\u7528\u6240\u7d66\u51fa\u7684\u548c\uff0f\u7a4d\uff0c\u4e26\u9a57\u8b49\u9019\u5169\u500b\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5c0d\u7a31\u8eab\u4efd\u6377\u5f91\uff0c\u5f9e\u4e8c\u6b21\u5f0f\u4e2d\u5fa9\u539f\u51fa 3 \u548c 8\uff0c\u4e26\u9a57\u8b49\u4e86\u548c\u3001\u7a4d\u4ee5\u53ca\u76ee\u6a19\u503c\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 32.85 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u6b65\u9a5f\n\n\u5df2\u77e5\n\\[\nx+y=11,\\qquad xy=24.\n\\]\n\n\u5229\u7528\n\\[\nx^2+y^2=(x+y)^2-2xy.\n\\]\n\n\u56e0\u6b64\n\\[\nx^2+y^2=11^2-2(24)=121-48=73.\n\\]\n\n\u8981\u78ba\u5b9a \\(x\\) \u548c \\(y\\) \u7684\u503c\uff0c\u5b83\u5011\u5fc5\u9808\u662f\u4e0b\u5217\u65b9\u7a0b\u5f0f\u7684\u6839\uff1a\n\\[\nt^2-(x+y)t+xy=0,\n\\]\n\u56e0\u6b64\n\\[\nt^2-11t+24=0.\n\\]\n\n\u56e0\u5f0f\u5206\u89e3\uff1a\n\\[\n(t-3)(t-8)=0.\n\\]\n\n\u56e0\u6b64\uff0c\u9019\u5169\u500b\u503c\u70ba \\(3\\) \u548c \\(8\\)\u3002\n\n### \u6700\u7d42\u7b54\u6848\n\n\\[\n\\boxed{x^2+y^2=73},\\qquad \\boxed{\\{x,y\\}=\\{3,8\\}}.\n\\]\n\n### \u9a57\u8b49\n\n\\[\n3+8=11,\\qquad 3\\cdot 8=24,\n\\]\n\u4e14\n\\[\n3^2+8^2=9+64=73.\n\\]<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q1\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 1\uff1a\u4ee3\u6578\u8207\u5c0d\u7a31\u8868\u9054\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u4ee3\u6578 \u00b7 \u6046\u7b49\u5f0f\u7684\u61c9\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u984c 1 \u2014 \u4ee3\u6578\uff1a\u5be6\u6578 x \u548c y \u6eff\u8db3 x + y = 11 \u53ca xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u4e26\u78ba\u5b9a\u7121\u5e8f\u5c0d {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u9808\u4e00\u8cab\u5730\u4f7f\u7528\u6240\u7d66\u51fa\u7684\u548c\uff0f\u7a4d\uff0c\u4e26\u9a57\u8b49\u9019\u5169\u500b\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5c0d\u7a31\u8eab\u4efd\u6377\u5f91\uff0c\u5f9e\u4e8c\u6b21\u5f0f\u4e2d\u5fa9\u539f\u51fa 3 \u548c 8\uff0c\u4e26\u9a57\u8b49\u4e86\u548c\u3001\u7a4d\u4ee5\u53ca\u76ee\u6a19\u503c\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.89 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\n- (x+y)\u00b2 = x\u00b2 + 2xy + y\u00b2\uff0c\u56e0\u6b64 x\u00b2 + y\u00b2 = 11\u00b2 \ufffd?? 2(24) = 121 \ufffd?? 48 = 73\u3002\n- x \u548c y \u662f\u65b9\u7a0b\u5f0f t\u00b2 \u2212 11t + 24 = 0 \u7684\u6839\uff0c\u5373 (t \u2212 3)(t \u2212 8)\u3002\n\n\u6700\u7d42\u7b54\u6848\nx\u00b2 + y\u00b2 = 73\uff1b{x, y} = {3, 8}\u3002\n\n\u9a57\u8b49\n3 + 8 = 11\uff0c3\u00b78 = 24\uff0c9 + 64 = 73\u3002\u5224\u5225\u5f0f 121 - 96 = 25 &gt; 0\uff0c\u56e0\u6b64\u5169\u500b\u6839\u7686\u70ba\u5be6\u6578\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q1\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 1\uff1a\u4ee3\u6578\u8207\u5c0d\u7a31\u8868\u9054\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u4ee3\u6578 \u00b7 \u6046\u7b49\u5f0f\u7684\u61c9\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u984c 1 \u2014 \u4ee3\u6578\uff1a\u5be6\u6578 x \u548c y \u6eff\u8db3 x + y = 11 \u53ca xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u4e26\u78ba\u5b9a\u7121\u5e8f\u5c0d {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u9808\u4e00\u8cab\u5730\u4f7f\u7528\u6240\u7d66\u51fa\u7684\u548c\uff0f\u7a4d\uff0c\u4e26\u9a57\u8b49\u9019\u5169\u500b\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5c0d\u7a31\u8eab\u4efd\u6377\u5f91\uff0c\u5f9e\u4e8c\u6b21\u5f0f\u4e2d\u5fa9\u539f\u51fa 3 \u548c 8\uff0c\u4e26\u9a57\u8b49\u4e86\u548c\u3001\u7a4d\u4ee5\u53ca\u76ee\u6a19\u503c\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.45 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\uff1a\n1. \u904b\u7528\u4ee3\u6578\u6046\u7b49\u5f0f $x\u00b2 + y\u00b2 = (x + y)\u00b2 - 2xy$\u3002\n2. \u4ee3\u5165\u5df2\u77e5\u6578\u503c $x + y = 11$ \u53ca $xy = 24$\uff1a\n   $$x^2 + y^2 = 11^2 - 2(24) = 121 - 48 = 73$$\n3. \u70ba\u6c42\u5f97 $x$ \u8207 $y$\uff0c\u69cb\u5efa\u4e00\u7d44\u6839\u70ba $x$ \u8207 $y$ \u7684\u4e8c\u6b21\u65b9\u7a0b\u5f0f\uff1a\n   $$t^2 - (x+y)t + xy = 0 \\implies t^2 - 11t + 24 = 0$$\n4. \u5c07\u8a72\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1a\n   $$(t - 3)(t - 8) = 0 \\implies t = 3 \\text{ \u6216 } t = 8$$\n\n\u6700\u7d42\u7b54\u6848\uff1a\n$x^2 + y^2 = 73$\uff1b\u7121\u5e8f\u5c0d $\\{x, y\\} = \\{3, 8\\}$\u3002\n\n\u9a57\u8b49\uff1a\n$3 + 8 = 11$\uff0c$3 \u00d7 8 = 24$\uff0c\u4e14 $3\u00b2 + 8\u00b2 = 9 + 64 = 73$\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7d44\u91cd\u9ede\uff1a<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5c0d\u7a31\u8eab\u4efd\u6377\u5f91\uff0c\u5f9e\u4e8c\u6b21\u5f0f\u4e2d\u5fa9\u539f\u51fa 3 \u548c 8\uff0c\u4e26\u9a57\u8b49\u4e86\u548c\u3001\u7a4d\u4ee5\u53ca\u76ee\u6a19\u503c\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6e2c\u9a57 2\uff1a\u5e7e\u4f55\u61c9\u7528\u984c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5e7e\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q2\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 2\uff1a\u5e7e\u4f55\u61c9\u7528\u984c<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5e7e\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 2 \u984c \u2014 \u5e7e\u4f55\uff0f\u6587\u5b57\u984c\uff1a\u4e00\u500b\u9577\u65b9\u5f62\u7684\u5916\u5468\u9577\u70ba 34 \u516c\u5206\uff0c\u5c0d\u89d2\u7dda\u9577\u70ba 13 \u516c\u5206\u3002\u6c42\u5176\u5169\u908a\u9577\u5ea6\u53ca\u9762\u7a4d\u3002\u8aaa\u660e\u70ba\u4f55\u80fd\u7531\u6b64\u78ba\u5b9a\u5176\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u908a\u9577\u5206\u5225\u70ba 5 \u516c\u5206\u548c 12 \u516c\u5206\uff1b\u9762\u7a4d\u70ba 60 \u5e73\u65b9\u516c\u5206\u3002\u5fc5\u9808\u5c07\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u7684\u689d\u4ef6\u76f8\u4e92\u806f\u7e6b\uff0c\u4e26\u8aaa\u660e\u5728\u908a\u9577\u9806\u5e8f\u4e0d\u8b8a\u7684\u60c5\u6cc1\u4e0b\uff0c\u89e3\u70ba\u4f55\u552f\u4e00\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6eff\u8db3 a+b=17 \u53ca a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u4e26\u6c42\u5f97 5 \u548c 12\uff0c\u6700\u5f8c\u9a57\u8b49\u4e86\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 32.85 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u6b65\u9a5f\n\n\u8a2d\u6b63\u65b9\u5f62\u7684\u5169\u908a\u9577\u5206\u5225\u70ba \\(a\\) \u548c \\(b\\)\u3002\n\n\u5468\u9577\u70ba \\(34\\) \u516c\u5206\uff1a\n\\[\n2(a+b)=34,\n\\]\n\u56e0\u6b64\n\\[\na+b=17.\n\\]\n\n\u5c0d\u89d2\u7dda\u9577\u70ba \\(13\\) \u516c\u5206\uff0c\u6839\u64da\u7562\u6c0f\u5b9a\u7406\uff0c\n\\[\na^2+b^2=13^2=169.\n\\]\n\n\u5229\u7528\n\\[\n(a+b)^2=a^2+b^2+2ab,\n\\]\n\u53ef\u5f97\n\\[\n17^2=169+2ab.\n\\]\n\n\u56e0\u6b64\uff0c\n\\[\n289=169+2ab,\n\\]\n\\[\n2ab=120,\n\\]\n\\[\nab=60.\n\\]\n\n\u5169\u908a\u7684\u9577\u5ea6\u662f\u65b9\u7a0b\n\\[\nt^2-17t+60=0.\n\\]\n\n\u56e0\u5f0f\u5206\u89e3\uff1a\n\\[\n(t-5)(t-12)=0.\n\\]\n\n\u56e0\u6b64\uff0c\u5169\u908a\u9577\u5206\u5225\u70ba \\(5\\) \u516c\u5206\u548c \\(12\\) \u516c\u5206\u3002\u9762\u7a4d\u70ba\n\\[\nA=ab=60\\text{ \u516c\u5206}^2.\n\\]\n\n\u7531\u65bc\u5176\u9577\u5ea6\u8207\u5bec\u5ea6\u7684\u548c\u53ca\u7a4d\u5747\u70ba\u56fa\u5b9a\u503c\uff0c\u56e0\u6b64\u908a\u9577\u5df2\u78ba\u5b9a\u3002\u8a72\u4e8c\u6b21\u5f0f\u6070\u6709\u5169\u500b\u6b63\u6839 \\(5\\) \u548c \\(12\\)\uff0c\u53ea\u8981\u4e92\u63db\u9577\u5ea6\u8207\u5bec\u5ea6\uff0c\u5373\u53ef\u5f97\u5230\u76f8\u540c\u7684\u9577\u65b9\u5f62\u3002\n\n### \u6700\u7d42\u7b54\u6848\n\n\\[\n\\boxed{\\text{\u908a\u9577\uff1a}5\\text{ \u516c\u5206\u8207 }12\\text{ \u516c\u5206}}\n\\]\n\\[\n\\boxed{\\text{\u9762\u7a4d\uff1a}60\\text{ \u516c\u5206}^2}\n\\]\n\n### \u9a57\u8b49\n\n\u5468\u9577\uff1a\n\\[\n2(5+12)=2(17)=34\\text{ \u516c\u5206}.\n\\]\n\n\u5c0d\u89d2\u7dda\uff1a\n\\[\n\\sqrt{5^2+12^2}=\\sqrt{25+144}=\\sqrt{169}=13\\text{ \u516c\u5206}.\n\\]\n\n\u9762\u7a4d\uff1a\n\\[\n5\\cdot 12=60\\text{ \u516c\u5206}^2.\n\\]<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q2\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 2\uff1a\u5e7e\u4f55\u61c9\u7528\u984c<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5e7e\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 2 \u984c \u2014 \u5e7e\u4f55\uff0f\u6587\u5b57\u984c\uff1a\u4e00\u500b\u9577\u65b9\u5f62\u7684\u5916\u5468\u9577\u70ba 34 \u516c\u5206\uff0c\u5c0d\u89d2\u7dda\u9577\u70ba 13 \u516c\u5206\u3002\u6c42\u5176\u5169\u908a\u9577\u5ea6\u53ca\u9762\u7a4d\u3002\u8aaa\u660e\u70ba\u4f55\u80fd\u7531\u6b64\u78ba\u5b9a\u5176\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u908a\u9577\u5206\u5225\u70ba 5 \u516c\u5206\u548c 12 \u516c\u5206\uff1b\u9762\u7a4d\u70ba 60 \u5e73\u65b9\u516c\u5206\u3002\u5fc5\u9808\u5c07\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u7684\u689d\u4ef6\u76f8\u4e92\u806f\u7e6b\uff0c\u4e26\u8aaa\u660e\u5728\u908a\u9577\u9806\u5e8f\u4e0d\u8b8a\u7684\u60c5\u6cc1\u4e0b\uff0c\u89e3\u70ba\u4f55\u552f\u4e00\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6eff\u8db3 a+b=17 \u53ca a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u4e26\u6c42\u5f97 5 \u548c 12\uff0c\u6700\u5f8c\u9a57\u8b49\u4e86\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.89 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\n- \u8a2d\u5169\u908a\u5206\u5225\u70ba a\u3001b\uff0c\u4e14 a, b &gt; 0\u3002\u5468\u9577\uff1a2(a+b) = 34 \ufffd?? a + b = 17\u3002\n- \u5c0d\u89d2\u7dda\uff08\u7562\u6c0f\u5b9a\u7406\uff09\uff1aa\u00b2 + b\u00b2 = 169\u3002\n- 2ab = (a+b)\u00b2 \ufffd?? (a\u00b2+b\u00b2) = 289 \ufffd?? 169 = 120 \ufffd?? ab = 60.\n- a\u3001b \u662f\u65b9\u7a0b t\u00b2 \u2212 17t + 60 = 0 \u7684\u6839\uff0c\u5373 (t \u2212 5)(t \u2212 12)\u3002\n\n\u6700\u7d42\u7b54\u6848\n\u5169\u908a\u9577\u5206\u5225\u70ba 5 \u516c\u5206\u548c 12 \u516c\u5206\uff1b\u9762\u7a4d\u70ba 60 \u5e73\u65b9\u516c\u5206\u3002\n\n\u9a57\u8b49\n2(5+12) = 34\uff0c5\u00b2 + 12\u00b2 = 25 + 144 = 169 = 13\u00b2\uff0c\u9762\u7a4d = 60\u3002\n\u70ba\u4f55\u80fd\u552f\u4e00\u78ba\u5b9a\uff1a\u5169\u500b\u689d\u4ef6\u78ba\u5b9a\u4e86\u908a\u9577\u7684\u548c\u8207\u7a4d\uff0c\u800c\u4e00\u9805\u5f0f\u4e8c\u6b21\u5f0f\u53ef\u7531\u5176\u6839\u7684\u548c\u8207\u7a4d\u552f\u4e00\u78ba\u5b9a\u3002 \u5224\u5225\u5f0f 289 \ufffd?? 240 = 49 &gt; 0 \u8868\u793a\u6709\u5169\u500b\u6b63\u6839\uff0c\u53ea\u8981\u91cd\u65b0\u6a19\u8a18 a \u548c b \u7684\u503c\uff0c\u9019\u5169\u500b\u6839\u4fbf\u4ee3\u8868\u540c\u4e00\u500b\u9577\u65b9\u5f62\uff0c\u56e0\u6b64\u5176\u9577\u5bec\u4f5c\u70ba\u7121\u5e8f\u5c0d\u662f\u552f\u4e00\u7684\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q2\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 2\uff1a\u5e7e\u4f55\u61c9\u7528\u984c<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5e7e\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 2 \u984c \u2014 \u5e7e\u4f55\uff0f\u6587\u5b57\u984c\uff1a\u4e00\u500b\u9577\u65b9\u5f62\u7684\u5916\u5468\u9577\u70ba 34 \u516c\u5206\uff0c\u5c0d\u89d2\u7dda\u9577\u70ba 13 \u516c\u5206\u3002\u6c42\u5176\u5169\u908a\u9577\u5ea6\u53ca\u9762\u7a4d\u3002\u8aaa\u660e\u70ba\u4f55\u80fd\u7531\u6b64\u78ba\u5b9a\u5176\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u908a\u9577\u5206\u5225\u70ba 5 \u516c\u5206\u548c 12 \u516c\u5206\uff1b\u9762\u7a4d\u70ba 60 \u5e73\u65b9\u516c\u5206\u3002\u5fc5\u9808\u5c07\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u7684\u689d\u4ef6\u76f8\u4e92\u806f\u7e6b\uff0c\u4e26\u8aaa\u660e\u5728\u908a\u9577\u9806\u5e8f\u4e0d\u8b8a\u7684\u60c5\u6cc1\u4e0b\uff0c\u89e3\u70ba\u4f55\u552f\u4e00\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6eff\u8db3 a+b=17 \u53ca a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u4e26\u6c42\u5f97 5 \u548c 12\uff0c\u6700\u5f8c\u9a57\u8b49\u4e86\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.45 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\uff1a\n1. \u8a2d\u5169\u908a\u9577\u5206\u5225\u70ba $a &gt; 0$ \u548c $b &gt; 0$\u3002\n2. \u5468\u9577\u65b9\u7a0b\u5f0f\u70ba $\u00b2(a + b) = 34\uff0c\u7531\u6b64\u53ef\u5f97 a + b = 17$\u3002\n3. \u6839\u64da\u7562\u6c0f\u5b9a\u7406\uff0c\u5c0d\u89d2\u7dda\u9577\u5ea6\u70ba $a\u00b2 + b\u00b2 = 13\u00b2 = 169$\u3002\n4. \u5229\u7528\u516c\u5f0f $(a + b)^2 = a^2 + b^2 + 2ab$\uff1a\n   $$17^2 = 169 + 2ab \\implies 289 = 169 + 2ab \\implies 2ab = 120 \\implies ab = 60$$\n5. \u9762\u7a4d\u70ba $A = ab = 60\\text{ cm}^2$\u3002\n6. \u908a\u9577 $a$ \u548c $b$ \u662f\u65b9\u7a0b $t^2 - 17t + 60 = 0$ \u7684\u6b63\u6839\uff1a\n   $$(t - 5)(t - 12) = 0 \\implies t = 5 \\text{ \u6216 } t = 12$$\n7. **\u70ba\u4f55\u80fd\u78ba\u5b9a\u7dad\u6578\uff1a** \u5468\u9577\u8207\u5c0d\u89d2\u7dda\u80fd\u552f\u4e00\u5730\u78ba\u5b9a\u6b63\u908a\u9577\u4e4b\u548c $(a+b = 17)$ \u53ca\u7a4d $(ab = 60)$\u3002 \u4e00\u500b\u6307\u5b9a\u5169\u500b\u6578\u4e4b\u548c\u8207\u7a4d\u7684\u7cfb\u7d71\uff0c\u80fd\u552f\u4e00\u5730\u5b9a\u7fa9\u4e8c\u6b21\u591a\u9805\u5f0f\u7684\u6839\u96c6\uff0c\u5f9e\u800c\u7d66\u51fa\u4e00\u7d44\u5728\u9806\u5e8f\u4e0a\u552f\u4e00\u7684\u908a\u9577\u5c0d\u3002\n\n\u6700\u7d42\u7b54\u6848\uff1a\n\u908a\u9577\uff1a$5\\text{ \u516c\u5206}$ \u8207 $12\\text{ \u516c\u5206}$\uff1b\u9762\u7a4d\uff1a$60\\text{ \u516c\u5206}^2$\u3002 \u7531\u65bc\u5468\u9577\u548c\u5c0d\u89d2\u7dda\u80fd\u552f\u4e00\u78ba\u5b9a\u76f8\u9130\u908a\u9577\u4e4b\u548c\u8207\u7a4d\uff0c\u9032\u800c\u5c0e\u51fa\u552f\u4e00\u7684\u4e00\u7d44\u6b63\u4e8c\u6b21\u65b9\u7a0b\u89e3\uff0c\u56e0\u6b64\u5c3a\u5bf8\u5f97\u4ee5\u78ba\u5b9a\u3002\n\n\u9a57\u8b49\uff1a\n\u5468\u9577\uff1a$2(5 + 12) = 34\\text{ cm}$\u3002 \u5c0d\u89d2\u7dda\uff1a$\\sqrt{5^2 + 12^2} = \\sqrt{25 + 144} = \\sqrt{169} = 13\\text{ \u516c\u5206}$\u3002 \u9762\u7a4d\uff1a$5 \u00d7 12 = 60\\text{ \u516c\u5206}^2$\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7d44\u91cd\u9ede\uff1a<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6eff\u8db3 a+b=17 \u53ca a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u4e26\u6c42\u5f97 5 \u548c 12\uff0c\u6700\u5f8c\u9a57\u8b49\u4e86\u5468\u9577\u8207\u5c0d\u89d2\u7dda\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6e2c\u9a57 3\uff1a\u591a\u6b65\u9a5f\u767e\u5206\u6bd4\u63a8\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u7b97\u8853 \u00b7 \u9023\u7e8c\u767e\u5206\u6bd4 \u00b7 \u9a57\u8b49<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q3\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 3\uff1a\u591a\u6b65\u9a5f\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u7b97\u8853 \u00b7 \u9023\u7e8c\u767e\u5206\u6bd4 \u00b7 \u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 3 \u984c \u2014 \u591a\u6b65\u9a5f\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c07\u67d0\u9805\u5546\u54c1\u7684\u552e\u50f9\u5728\u6210\u672c\u50f9\u57fa\u790e\u4e0a\u52a0\u50f9 25%\uff0c\u7136\u5f8c\u5728\u6a19\u793a\u50f9\u683c\u4e0a\u63d0\u4f9b 20% \u7684\u6298\u6263\u3002 \u9867\u5ba2\u5728\u7a05\u524d\u652f\u4ed8\u4e86 $120\u3002\u6c42\u539f\u59cb\u6210\u672c\uff0c\u4ee5\u53ca\u5f9e\u6210\u672c\u5230\u5be6\u969b\u652f\u4ed8\u50f9\u683c\u7684\u6de8\u767e\u5206\u6bd4\u8b8a\u52d5\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u70ba $120\uff1b\u6de8\u8b8a\u52d5\u70ba 0%\u3002\u5fc5\u9808\u5c07 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u975e\u6e1b\u53bb\u767e\u5206\u6bd4\u9ede\u6578\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6b63\u78ba\u8b58\u5225\u51fa\u5e8f\u5217\u4e58\u6cd5\u5668\u6703\u76f8\u4e92\u62b5\u92b7\uff0c\u4e26\u9a57\u8b49\u4e86 $120 \u2192 $150 \u2192 $120 \u9019\u689d\u8def\u5f91\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 32.85 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u6b65\u9a5f\n\n\u5047\u8a2d\u539f\u59cb\u6210\u672c\u70ba \\(C\\)\u3002\n\n\\(25\\%\\) \u7684\u52a0\u50f9\u7387\u6703\u4f7f\u6210\u672c\u4e58\u4ee5\n\\[\n1+0.25=1.25.\n\\]\n\n\u56e0\u6b64\uff0c\u6a19\u50f9\u70ba\n\\[\n1.25C.\n\\]\n\n\\(20\\%\\) \u7684\u6298\u6263\u8868\u793a\u9867\u5ba2\u9700\u652f\u4ed8\u6a19\u50f9\u7684 \\(80\\%\\)\uff1a\n\\[\n0.80(1.25C)=120.\n\\]\n\n\u7531\u65bc\n\\[\n0.80\\cdot 1.25=1,\n\\]\n\u56e0\u6b64\u65b9\u7a0b\u5f0f\u8b8a\u70ba\n\\[\nC=120.\n\\]\n\n\u5be6\u969b\u652f\u4ed8\u50f9\u683c\u7b49\u65bc\u539f\u59cb\u6210\u672c\uff0c\u56e0\u6b64\u6de8\u767e\u5206\u6bd4\u8b8a\u5316\u70ba\n\\[\n\\frac{120-120}{120}\\cdot 100\\%=0\\%.\n\\]\n\n### \u6700\u7d42\u7b54\u6848\n\n\\[\n\\boxed{\\text{\u539f\u59cb\u6210\u672c}=\\$120}\n\\]\n\\[\n\\boxed{\\text{\u6de8\u767e\u5206\u6bd4\u8b8a\u5316}=0\\%}\n\\]\n\n### \u9a57\u8b49\n\n\u5728 \\(\\$120\\) \u4e0a\u52a0\u50f9 \\(25\\%\\) \u5f8c\uff0c\u7d50\u679c\u70ba\n\\[\n120(1.25)=\\$150.\n\\]\n\n\u82e5\u4ee5 \\(\\$150\\) \u70ba\u57fa\u6e96\uff0c\u9069\u7528 \\(20\\%\\) \u7684\u6298\u6263\uff0c\u5247\u5f97\n\\[\n150(0.80)=\\$120.\n\\]\n\n\u56e0\u6b64\uff0c\u5be6\u969b\u652f\u4ed8\u7684\u50f9\u683c\u6b63\u597d\u7b49\u65bc\u539f\u59cb\u6210\u672c\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q3\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 3\uff1a\u591a\u6b65\u9a5f\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u7b97\u8853 \u00b7 \u9023\u7e8c\u767e\u5206\u6bd4 \u00b7 \u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 3 \u984c \u2014 \u591a\u6b65\u9a5f\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c07\u67d0\u9805\u5546\u54c1\u7684\u552e\u50f9\u5728\u6210\u672c\u50f9\u57fa\u790e\u4e0a\u52a0\u50f9 25%\uff0c\u7136\u5f8c\u5728\u6a19\u793a\u50f9\u683c\u4e0a\u63d0\u4f9b 20% \u7684\u6298\u6263\u3002 \u9867\u5ba2\u5728\u7a05\u524d\u652f\u4ed8\u4e86 $120\u3002\u6c42\u539f\u59cb\u6210\u672c\uff0c\u4ee5\u53ca\u5f9e\u6210\u672c\u5230\u5be6\u969b\u652f\u4ed8\u50f9\u683c\u7684\u6de8\u767e\u5206\u6bd4\u8b8a\u52d5\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u70ba $120\uff1b\u6de8\u8b8a\u52d5\u70ba 0%\u3002\u5fc5\u9808\u5c07 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u975e\u6e1b\u53bb\u767e\u5206\u6bd4\u9ede\u6578\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6b63\u78ba\u8b58\u5225\u51fa\u5e8f\u5217\u4e58\u6cd5\u5668\u6703\u76f8\u4e92\u62b5\u92b7\uff0c\u4e26\u9a57\u8b49\u4e86 $120 \u2192 $150 \u2192 $120 \u9019\u689d\u8def\u5f91\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.89 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\n- \u8a2d\u6210\u672c\u70ba C\u3002\u6a19\u50f9\u70ba 1.25C\u3002\n- \u552e\u50f9 = 0.80 \u00d7 1.25C = 1.00C\u3002\n- \u5be6\u969b\u652f\u4ed8\u50f9\u683c = 120 \u00d7 C = 120\u3002\n- \u6de8\u8b8a\u52d5 = (120 \u00d7 120)\/120 = 0.\n\n\u6700\u7d42\u7b54\u6848\n\u539f\u59cb\u6210\u672c = $120\uff1b\u5f9e\u6210\u672c\u5230\u5be6\u969b\u652f\u4ed8\u50f9\u683c\u7684\u6de8\u8b8a\u52d5 = 0%\uff08\u7121\u8b8a\u52d5\uff09\u3002\n\n\u9a57\u8b49\n120 \u2715 \u52a0\u50f9 25% \u2715 150 \u2715 20% \u6298\u6263 \u2715 150 \u2715 30 = 120 \u2715\u3002 \u8acb\u6ce8\u610f\u4e58\u6578\uff1a1.25 \u00d7 0.80 = 1 \u6b63\u597d\uff0c\u56e0\u6b64\u7121\u8ad6\u6210\u672c\u70ba\u4f55\uff0c\u52a0\u50f9\u8207\u6298\u6263\u90fd\u6703\u76f8\u4e92\u62b5\u92b7\u3002\uff08\u5982\u6240\u8ff0\uff0c\u6b64\u7d50\u679c\u70ba\u7a05\u524d\u91d1\u984d\u3002\uff09<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q3\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 3\uff1a\u591a\u6b65\u9a5f\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u7b97\u8853 \u00b7 \u9023\u7e8c\u767e\u5206\u6bd4 \u00b7 \u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 3 \u984c \u2014 \u591a\u6b65\u9a5f\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c07\u67d0\u9805\u5546\u54c1\u7684\u552e\u50f9\u5728\u6210\u672c\u50f9\u57fa\u790e\u4e0a\u52a0\u50f9 25%\uff0c\u7136\u5f8c\u5728\u6a19\u793a\u50f9\u683c\u4e0a\u63d0\u4f9b 20% \u7684\u6298\u6263\u3002 \u9867\u5ba2\u5728\u7a05\u524d\u652f\u4ed8\u4e86 $120\u3002\u6c42\u539f\u59cb\u6210\u672c\uff0c\u4ee5\u53ca\u5f9e\u6210\u672c\u5230\u5be6\u969b\u652f\u4ed8\u50f9\u683c\u7684\u6de8\u767e\u5206\u6bd4\u8b8a\u52d5\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u70ba $120\uff1b\u6de8\u8b8a\u52d5\u70ba 0%\u3002\u5fc5\u9808\u5c07 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u975e\u6e1b\u53bb\u767e\u5206\u6bd4\u9ede\u6578\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6b63\u78ba\u8b58\u5225\u51fa\u5e8f\u5217\u4e58\u6cd5\u5668\u6703\u76f8\u4e92\u62b5\u92b7\uff0c\u4e26\u9a57\u8b49\u4e86 $120 \u2192 $150 \u2192 $120 \u9019\u689d\u8def\u5f91\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.45 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\uff1a\n1. \u8a2d $C &gt; 0$ \u70ba\u539f\u59cb\u6210\u672c\uff08\u4ee5\u7f8e\u5143\u8a08\uff09\u3002\n2. 25% \u7684\u52a0\u50f9\uff1a\u6a19\u50f9 $M = C \u00d7 (1 + 0.25) = 1.25C$\u3002\n3. \u6a19\u50f9 20% \u7684\u6298\u6263\uff1a\u5be6\u969b\u652f\u4ed8\u50f9\u683c $P = M \u00d7 (1 - 0.20) = 1.25C \u00d7 0.80 = 1.00C$\u3002\n4. \u8a2d $P = \\$120$\uff1a\n   $$1.00C = 120 \\implies C = \\$120$$\n5. \u6210\u672c\u8207\u652f\u4ed8\u50f9\u683c\u4e4b\u9593\u7684\u6de8\u767e\u5206\u6bd4\u8b8a\u5316\uff1a\n   $$\\text{\u6de8\u8b8a\u5316 \\%} = \\frac{P - C}{C} \\times 100\\% = \\frac{120 - 120}{120} \\times 100\\% = 0\\%$$\n\n\u6700\u7d42\u7b54\u6848\uff1a\n\u539f\u59cb\u6210\u672c\uff1a$\\$120$\uff1b \u6de8\u767e\u5206\u6bd4\u8b8a\u5316\uff1a$0\\%$\u3002\n\n\u9a57\u8b49\uff1a\n\u52a0\u6210\uff1a$\\$120 \\times 1.25 = \\$150$\u3002 \u6298\u6263\uff1a$\\$150 \\times 0.80 = \\$120$\u3002 \u5be6\u969b\u652f\u4ed8\u50f9\u683c\u70ba $\\$120$\uff0c\u4e14\u6210\u672c\u7b49\u65bc\u5be6\u969b\u652f\u4ed8\u50f9\u683c\uff08$0\\%$ \u6de8\u8b8a\u52d5\uff09\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7d44\u91cd\u9ede\uff1a<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6b63\u78ba\u8b58\u5225\u51fa\u5e8f\u5217\u4e58\u6cd5\u5668\u6703\u76f8\u4e92\u62b5\u92b7\uff0c\u4e26\u9a57\u8b49\u4e86 $120 \u2192 $150 \u2192 $120 \u9019\u689d\u8def\u5f91\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6e2c\u8a66 4\uff1a\u591a\u9918\u6839\u9a57\u8b49\u9677\u9631<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u689d\u4ef6 \u00b7 \u5019\u9078\u689d\u4ef6\u6aa2\u67e5 \u00b7 \u908f\u8f2f\u6709\u6548\u6027<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q4\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u8a66 4\uff1a\u591a\u9918\u6839\u9a57\u8b49\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u689d\u4ef6 \u00b7 \u5019\u9078\u689d\u4ef6\u6aa2\u67e5 \u00b7 \u908f\u8f2f\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 4 \u984c \u2014 \u9a57\u8b49\u9677\u9631\uff1a\u5728\u5be6\u6578\u57df\u4e0a\u6c42\u89e3\u65b9\u7a0b\u5f0f \u221a(x + 6) = x\u3002\u6aa2\u67e5\u539f\u65b9\u7a0b\u5f0f\u4e2d\u7684\u6bcf\u500b\u5019\u9078\u89e3\uff0c\u4e26\u8aaa\u660e\u70ba\u4f55\u4efb\u4f55\u88ab\u6392\u9664\u7684\u5019\u9078\u89e3\u90fd\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u50c5\u9650 x=3\u3002\u5fc5\u9808\u5148\u78ba\u5b9a x\u22650\uff0c\u63a5\u8457\u5728\u539f\u65b9\u7a0b\u5f0f\u4e2d\u9a57\u8b49 x=3 \u8207 x=\u22122\uff0c\u4e26\u5c07 \u22122 \u5224\u5b9a\u70ba\u591a\u9918\u89e3\u800c\u6392\u9664\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6307\u51fa\u4e86\u975e\u8ca0\u9650\u5236\uff0c\u6aa2\u67e5\u4e86\u5169\u500b\u5019\u9078\u503c\uff0c\u4e26\u5728\u539f\u59cb\u65b9\u7a0b\u5f0f\u4e2d\u6392\u9664\u4e86 \u22122\u3002\u9019\u652f\u6301\u4e86\u300c\u53ef\u9760\u300d\u7684\u7d50\u8ad6\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 32.85 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u6b65\u9a5f\n\n\u6c42\u89e3\n\\[\n\\sqrt{x+6}=x\n\\]\n\u65bc\u5be6\u6578\u57df\u4e2d\u3002\n\n\u7531\u65bc\u5e73\u65b9\u6839\u662f\u975e\u8ca0\u7684\uff0c\u56e0\u6b64\u53f3\u908a\u5fc5\u9808\u6eff\u8db3\n\\[\nx\\ge 0.\n\\]\n\u6b64\u5916\uff0c\u88ab\u958b\u65b9\u5f0f\u8981\u6c42 \\(x+6\\ge 0\\)\uff0c\u7576 \\(x\\ge 0\\) \u6642\uff0c\u6b64\u689d\u4ef6\u81ea\u7136\u6210\u7acb\u3002\n\n\u5c07\u5169\u908a\u5e73\u65b9\uff1a\n\\[\nx+6=x^2.\n\\]\n\n\u8b8a\u5f62\uff1a\n\\[\nx^2-x-6=0.\n\\]\n\n\u56e0\u5f0f\u5206\u89e3\uff1a\n\\[\n(x-3)(x+2)=0.\n\\]\n\n\u89e3\u7684\u5019\u9078\u6578\u70ba\n\\[\nx=3\\quad\\text{\u6216}\\quad x=-2.\n\\]\n\n\u7531\u65bc\u5e73\u65b9\u904b\u7b97\u53ef\u80fd\u6703\u5f15\u5165\u591a\u9918\u89e3\uff0c\u56e0\u6b64\u5fc5\u9808\u5c07\u9019\u5169\u500b\u5019\u9078\u89e3\u4ee3\u5165\u539f\u65b9\u7a0b\u5f0f\u4e2d\u9032\u884c\u9a57\u8b49\u3002\n\n\u5c0d\u65bc \\(x=3\\)\uff1a\n\\[\n\\sqrt{3+6}=\\sqrt{9}=3,\n\\]\n\u56e0\u6b64 \\(x=3\\) \u6210\u7acb\u3002\n\n\u5c0d\u65bc \\(x=-2\\)\uff1a\n\\[\n\\sqrt{-2+6}=\\sqrt{4}=2\\ne -2,\n\\]\n\u56e0\u6b64 \\(x=-2\\) \u7121\u6548\u3002\u5176\u7121\u6548\u7684\u539f\u56e0\u5728\u65bc\uff1a\u4e3b\u5e73\u65b9\u6839\u59cb\u7d42\u70ba\u975e\u8ca0\u6578\uff0c\u800c\u6240\u63d0\u51fa\u7684\u53f3\u908a\u9805\u537b\u70ba\u8ca0\u6578\u3002\n\n### \u6700\u7d42\u7b54\u6848\n\n\\[\n\\boxed{x=3}\n\\]\n\n### \u9a57\u8b49\n\n\u4ee3\u5165\u539f\u65b9\u7a0b\u5f0f\u53ef\u5f97\n\\[\n\\sqrt{3+6}=3,\n\\]\n\\[\n3=3.\n\\]\n\n\u88ab\u6392\u9664\u7684\u5019\u9078\u503c \\(x=-2\\) \u6703\u5f97\u5230 \\(2=-2\\)\uff0c\u9019\u662f\u4e0d\u6210\u7acb\u7684\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q4\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u8a66 4\uff1a\u591a\u9918\u6839\u9a57\u8b49\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u689d\u4ef6 \u00b7 \u5019\u9078\u689d\u4ef6\u6aa2\u67e5 \u00b7 \u908f\u8f2f\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 4 \u984c \u2014 \u9a57\u8b49\u9677\u9631\uff1a\u5728\u5be6\u6578\u57df\u4e0a\u6c42\u89e3\u65b9\u7a0b\u5f0f \u221a(x + 6) = x\u3002\u6aa2\u67e5\u539f\u65b9\u7a0b\u5f0f\u4e2d\u7684\u6bcf\u500b\u5019\u9078\u89e3\uff0c\u4e26\u8aaa\u660e\u70ba\u4f55\u4efb\u4f55\u88ab\u6392\u9664\u7684\u5019\u9078\u89e3\u90fd\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u50c5\u9650 x=3\u3002\u5fc5\u9808\u5148\u78ba\u5b9a x\u22650\uff0c\u63a5\u8457\u5728\u539f\u65b9\u7a0b\u5f0f\u4e2d\u9a57\u8b49 x=3 \u8207 x=\u22122\uff0c\u4e26\u5c07 \u22122 \u5224\u5b9a\u70ba\u591a\u9918\u89e3\u800c\u6392\u9664\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6307\u51fa\u4e86\u975e\u8ca0\u9650\u5236\uff0c\u6aa2\u67e5\u4e86\u5169\u500b\u5019\u9078\u503c\uff0c\u4e26\u5728\u539f\u59cb\u65b9\u7a0b\u5f0f\u4e2d\u6392\u9664\u4e86 \u22122\u3002\u9019\u652f\u6301\u4e86\u300c\u53ef\u9760\u300d\u7684\u7d50\u8ad6\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.89 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\n- \u5b9a\u7fa9\u57df\uff0f\u689d\u4ef6\uff1a\u9700\u6eff\u8db3 x + 6 \u2260 0\uff08x \u2260 \u22126\uff09\uff0c\u4e14\u7531\u65bc\u4e3b\u5e73\u65b9\u6839\u70ba\u975e\u8ca0\u6578\uff0c\u6545 x \u2260 0\u3002\n- \u5c07\u5169\u908a\u5e73\u65b9\uff1ax + 6 = x\u00b2 - x\u00b2 - x - 6 = 0 - (x - 3)(x + 2) = 0 - x = 3 \u6216 x = -2\u3002\n- \u4ee3\u5165\u539f\u65b9\u7a0b\u5f0f\u9a57\u8b49\uff1ax = 3 \u2260 9 = 3 \u2260\u3002x = \u221a2 \u2260 4 = 2 \u2260 \u221a2 \u2260\u3002\n\n\u6700\u7d42\u7b54\u6848\nx = 3\u3002\n\n\u9a57\u8b49\n(3 + 6) = 9 = 3 = x\u3002\n\u70ba\u4f55 \u221a2 \u4e0d\u6210\u7acb\uff1a\u5e73\u65b9\u904b\u7b97\u4e0d\u53ef\u9006\uff0c \u9019\u6703\u5c07 \u221a(x+6) = x \u8f49\u8b8a\u70ba\u4e00\u500b\u65b9\u7a0b\u5f0f\uff0c\u8a72\u65b9\u7a0b\u5f0f\u540c\u6642\u4e5f\u6eff\u8db3 \u221a(x+6) = \u221ax\u3002x = \u221a2 \u96d6\u6eff\u8db3\u7b2c\u4e8c\u500b\u5206\u652f\uff0c\u4f46\u9055\u53cd\u4e86 x \u2260 0 \u7684\u689d\u4ef6\uff0c\u56e0\u70ba\u4e3b\u6839\u4e0d\u80fd\u70ba\u8ca0\u6578\u3002 \u9019\u662f\u5e73\u65b9\u904b\u7b97\u6240\u5f15\u5165\u7684\u591a\u9918\u6839\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q4\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u8a66 4\uff1a\u591a\u9918\u6839\u9a57\u8b49\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u689d\u4ef6 \u00b7 \u5019\u9078\u689d\u4ef6\u6aa2\u67e5 \u00b7 \u908f\u8f2f\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 4 \u984c \u2014 \u9a57\u8b49\u9677\u9631\uff1a\u5728\u5be6\u6578\u57df\u4e0a\u6c42\u89e3\u65b9\u7a0b\u5f0f \u221a(x + 6) = x\u3002\u6aa2\u67e5\u539f\u65b9\u7a0b\u5f0f\u4e2d\u7684\u6bcf\u500b\u5019\u9078\u89e3\uff0c\u4e26\u8aaa\u660e\u70ba\u4f55\u4efb\u4f55\u88ab\u6392\u9664\u7684\u5019\u9078\u89e3\u90fd\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">\u50c5\u9650 x=3\u3002\u5fc5\u9808\u5148\u78ba\u5b9a x\u22650\uff0c\u63a5\u8457\u5728\u539f\u65b9\u7a0b\u5f0f\u4e2d\u9a57\u8b49 x=3 \u8207 x=\u22122\uff0c\u4e26\u5c07 \u22122 \u5224\u5b9a\u70ba\u591a\u9918\u89e3\u800c\u6392\u9664\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6307\u51fa\u4e86\u975e\u8ca0\u9650\u5236\uff0c\u6aa2\u67e5\u4e86\u5169\u500b\u5019\u9078\u503c\uff0c\u4e26\u5728\u539f\u59cb\u65b9\u7a0b\u5f0f\u4e2d\u6392\u9664\u4e86 \u22122\u3002\u9019\u652f\u6301\u4e86\u300c\u53ef\u9760\u300d\u7684\u7d50\u8ad6\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.45 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\uff1a\n1. \u65b9\u7a0b\u5f0f\uff1a$\\sqrt{x + 6} = x$\u3002\n2. \u5b9a\u7fa9\u57df\uff0f\u689d\u4ef6\u9650\u5236\uff1a\n   - \u88ab\u958b\u65b9\u6578\u975e\u8ca0\uff1a$x + 6 \\ge 0 \\implies x \\ge -6$\u3002\n   - \u6839\u5f0f\u975e\u8ca0\uff1a$\\sqrt{x + 6} \\ge 0 \\implies x \\ge 0$\u3002\n   - \u7d9c\u5408\u5b9a\u7fa9\u57df\u9650\u5236\uff1a$x \\ge 0$\u3002\n3. \u5169\u908a\u5e73\u65b9\uff1a\n   $$x + 6 = x^2 \\implies x^2 - x - 6 = 0$$\n4. \u56e0\u5f0f\u5206\u89e3\uff1a\n   $$(x - 3)(x + 2) = 0 \\implies \\text{\u89e3\u5143\u5019\u9078\u503c\uff1a} x = 3, x = -2$$\n5. \u5c07\u5019\u9078\u503c\u4ee3\u5165\u539f\u65b9\u7a0b\u5f0f $\\sqrt{x + 6} = x$ \u9032\u884c\u9a57\u8b49\uff1a\n   - \u7576 $x = 3$ \u6642\uff1a$\\sqrt{3 + 6} = \\sqrt{9} = 3$\u3002\u6210\u7acb\uff08\u5de6\u908a = \u53f3\u908a\uff09\u3002\n   - \u5c0d\u65bc $x = -2$\uff1a$\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2$\u3002\u88ab\u6392\u9664\u3002\n6. **\u99c1\u56de\u7406\u7531\uff1a** \u4e3b\u8981\u5be6\u6578\u5e73\u65b9\u6839\u51fd\u6578 $\\sqrt{\\cdot}$ \u7e3d\u662f\u7522\u751f\u975e\u8ca0\u5be6\u6578\u503c\uff08$\\sqrt{4} = +2$\uff09\u3002 \u7531\u65bc\u53f3\u908a\u70ba $-2$\uff0c\u56e0\u6b64\u65b9\u7a0b\u5f0f $\u00b2 = -2$ \u4e0d\u6210\u7acb\u3002$x = -2$ \u662f\u56e0\u5e73\u65b9\u904b\u7b97\u800c\u5f15\u5165\u7684\u5197\u9918\u89e3\u3002\n\n\u6700\u7d42\u7b54\u6848\uff1a\n$x = 3$\u3002\n\n\u9a57\u8b49\uff1a\n\u7576 $x = 3$ \u6642\uff0c\u5de6\u908a\uff1a$\\sqrt{3 + 6} = \\sqrt{9} = 3 = \\text{\u53f3\u908a}$\u3002\n\u5de6\u908a\u5728 $x = -2$ \u6642\uff1a$\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2 = \\text{\u53f3\u908a}$\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7d44\u91cd\u9ede\uff1a<\/strong> \u9019\u4e09\u7a2e\u6a21\u578b\u5747\u6307\u51fa\u4e86\u975e\u8ca0\u9650\u5236\uff0c\u6aa2\u67e5\u4e86\u5169\u500b\u5019\u9078\u503c\uff0c\u4e26\u5728\u539f\u59cb\u65b9\u7a0b\u5f0f\u4e2d\u6392\u9664\u4e86 \u22122\u3002\u9019\u652f\u6301\u4e86\u300c\u53ef\u9760\u300d\u7684\u7d50\u8ad6\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6e2c\u9a57 5\uff1a\u5fae\u7a4d\u5206\uff08\u542b\u5fae\u5206\u6aa2\u67e5\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5fae\u7a4d\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a57\u8b49<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q5\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 5\uff1a\u5fae\u7a4d\u5206\uff08\u542b\u5fae\u5206\u6aa2\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5fae\u7a4d\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 5 \u984c \u2014 \u5fae\u7a4d\u5206\uff1a\u6c42\u4e0d\u5b9a\u7a4d\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u6307\u51fa\u8b8a\u63db\u95dc\u4fc2\uff0c\u4e26\u900f\u904e\u6c42\u5c0e\u52a0\u4ee5\u9a57\u8b49\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8a2d u = x\u00b2\u3002\u9808\u5c07\u7d50\u679c\u6c42\u5c0e\uff0c\u5f97 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u500b\u6a21\u578b\u7686\u4ee5 u=x\u00b2 \u70ba\u540d\uff0c\u5c0d e^u \u9032\u884c\u7a4d\u5206\uff0c\u9084\u539f\u70ba x\u00b2\uff0c\u4e26\u5c07\u7d50\u679c\u53cd\u6c42\u81f3\u539f\u59cb\u88ab\u7a4d\u51fd\u6578\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 32.85 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u6b65\u9a5f\n\n\u6c42\n\\[\n\\int 2x e^{x^2}\\,dx.\n\\]\n\n\u4f7f\u7528 \\(u\\) \u8b8a\u63db\uff1a\n\\[\nu=x^2.\n\\]\n\n\u5247\n\\[\ndu=2x\\,dx.\n\\]\n\n\u56e0\u6b64\uff0c\n\\[\n\\int 2x e^{x^2}\\,dx=\\int e^u\\,du.\n\\]\n\n\u6c42\u7a4d\uff1a\n\\[\n\\int e^u\\,du=e^u+C.\n\\]\n\n\u4ee3\u5165 \\(u=x^2\\)\uff1a\n\\[\ne^{x^2}+C.\n\\]\n\n\u6b64\u539f\u51fd\u6578\u5c0d\u6240\u6709\u5be6\u6578 \\(x\\) \u5747\u6210\u7acb\u3002\n\n### \u6700\u7d42\u7b54\u6848\n\n\\[\n\\boxed{\\int 2x e^{x^2}\\,dx=e^{x^2}+C}\n\\]\n\n### \u9a57\u8b49\n\n\u904b\u7528\u93c8\u5f0f\u6cd5\u5247\u5c0d\u7d50\u679c\u6c42\u5c0e\uff1a\n\\[\n\\frac{d}{dx}\\left(e^{x^2}+C\\right)\n=e^{x^2}\\cdot 2x\n=2x e^{x^2}.\n\\]\n\n\u6b64\u7d50\u679c\u8207\u539f\u59cb\u88ab\u7a4d\u51fd\u6578\u76f8\u7b26\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q5\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 5\uff1a\u5fae\u7a4d\u5206\uff08\u542b\u5fae\u5206\u6aa2\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5fae\u7a4d\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 5 \u984c \u2014 \u5fae\u7a4d\u5206\uff1a\u6c42\u4e0d\u5b9a\u7a4d\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u6307\u51fa\u8b8a\u63db\u95dc\u4fc2\uff0c\u4e26\u900f\u904e\u6c42\u5c0e\u52a0\u4ee5\u9a57\u8b49\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8a2d u = x\u00b2\u3002\u9808\u5c07\u7d50\u679c\u6c42\u5c0e\uff0c\u5f97 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u500b\u6a21\u578b\u7686\u4ee5 u=x\u00b2 \u70ba\u540d\uff0c\u5c0d e^u \u9032\u884c\u7a4d\u5206\uff0c\u9084\u539f\u70ba x\u00b2\uff0c\u4e26\u5c07\u7d50\u679c\u53cd\u6c42\u81f3\u539f\u59cb\u88ab\u7a4d\u51fd\u6578\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.89 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\n- \u4ee3\u5165\uff1au = x\u00b2\uff0cdu = 2x dx\u3002\n- \ufffd?\ufffd 2x e^(x\u00b2) dx = \ufffd?\ufffd e^u du = e^u + C = e^(x\u00b2) + C\u3002\n\n\u6700\u7d42\u7b54\u6848\ne^(x\u00b2) + C\u3002\n\n\u9a57\u8b49\nd\/dx [e^(x\u00b2) + C] = e^(x\u00b2) \u00b7 d\/dx(x\u00b2) = 2x e^(x\u00b2) \ufffd?? \uff08\u93c8\u5f0f\u6cd5\u5247\uff09\u3002\u5c0d\u6240\u6709\u5be6\u6578 x \u5747\u6210\u7acb\uff1b\u88ab\u7a4d\u51fd\u6578\u5728 \ufffd?\ufffd \u4e0a\u9023\u7e8c\u3002.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q5\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u6e2c\u9a57 5\uff1a\u5fae\u7a4d\u5206\uff08\u542b\u5fae\u5206\u6aa2\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u865f\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8a66\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7d50\u679c\uff1a\u901a\u904e\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u904e \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6578\u5b78\u80fd\u529b\uff1a<\/strong> \u5fae\u7a4d\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a57\u8b49<\/p><h4 style=\"margin:16px 0 6px\">\u8f38\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c 5 \u984c \u2014 \u5fae\u7a4d\u5206\uff1a\u6c42\u4e0d\u5b9a\u7a4d\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u6307\u51fa\u8b8a\u63db\u95dc\u4fc2\uff0c\u4e26\u900f\u904e\u6c42\u5c0e\u52a0\u4ee5\u9a57\u8b49\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u9810\u671f\u7b54\u6848\uff0f\u8a55\u5206\u6a19\u6e96<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8a2d u = x\u00b2\u3002\u9808\u5c07\u7d50\u679c\u6c42\u5c0e\uff0c\u5f97 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8cfd\u7d50\u679c\u8207\u6bd4\u5206<\/h4><p><strong>\u901a\u904e \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u78ba\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u54c1\u8cea\uff1a4\/4<\/li><li>\u4ee5\u4e0b\u70ba\u8aaa\u660e\uff1a3\/3<\/li><li>\u9a57\u8b49\uff0f\u689d\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b<\/strong> \u9019\u4e09\u500b\u6a21\u578b\u7686\u4ee5 u=x\u00b2 \u70ba\u540d\uff0c\u5c0d e^u \u9032\u884c\u7a4d\u5206\uff0c\u9084\u539f\u70ba x\u00b2\uff0c\u4e26\u5c07\u7d50\u679c\u53cd\u6c42\u81f3\u539f\u59cb\u88ab\u7a4d\u51fd\u6578\u3002.<\/p><p><strong>\u56de\u61c9\u6642\u9593\uff1a<\/strong> \u5b8c\u6210\u9019\u4efd\u5305\u542b\u4e94\u9053\u984c\u76ee\u7684\u8acb\u6c42\u5171\u8017\u6642 17.45 \u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5be6\u969b\u6a21\u578b\u8f38\u51fa\uff1a<\/strong> \u9019\u662f\u8a72\u6e2c\u9a57\u984c\u76ee\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u4e26\u975e\u7d93\u7de8\u8f2f\u7684\u7bc0\u9304\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u63db\u81f3\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\"><span class=\"output-show\">\u25b6 \u986f\u793a\u5b8c\u6574\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><span class=\"output-hide\">\u2212 \u96b1\u85cf\u6a21\u578b\u8f38\u51fa\u7d50\u679c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u6b65\u9a5f\uff1a\n1. \u5728\u5b9a\u7fa9\u57df $x \u2208 (\u2212\u221e, \u221e)$ \u4e0a\u6c42\u7a4d\u5206 $\\int 2x e^{x^2} \\, dx$\u3002\n2. \u8b8a\u63db\u540d\u7a31\uff1a$u$ \u8b8a\u63db\uff0c\u5176\u4e2d $u = x^2$\u3002\n3. \u8a08\u7b97\u5fae\u5206\uff1a$du = 2x \\, dx$\u3002\n4. \u4ee3\u5165\u7a4d\u5206\u5f0f\uff1a\n   $$\\int 2x e^{x^2} \\, dx = \\int e^u \\, du = e^u + C$$\n5. \u4ee3\u5165 $u = x^2$\uff1a\n   $$e^{x^2} + C$$\n\n\u6700\u7d42\u7b54\u6848\uff1a\n$ e^{x^2} + C$  \uff08\u4ee3\u5165\uff1a$ u = x^2$\uff09\n\n\u9a57\u8b49\uff1a\n\u5229\u7528\u93c8\u5f0f\u6cd5\u5247\uff0c\u5c0d\u7d50\u679c\u95dc\u65bc $ x$ \u6c42\u5c0e\uff1a\n$$\\frac{d}{dx}\\left(e^{x^2} + C\\right) = e^{x^2} \\cdot \\frac{d}{dx}(x^2) + 0 = 2x e^{x^2}$$\n\u9019\u4fbf\u9084\u539f\u4e86\u539f\u59cb\u7684\u88ab\u7a4d\u51fd\u6578\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7d44\u91cd\u9ede\uff1a<\/strong> \u9019\u4e09\u500b\u6a21\u578b\u7686\u4ee5 u=x\u00b2 \u70ba\u540d\uff0c\u5c0d e^u \u9032\u884c\u7a4d\u5206\uff0c\u9084\u539f\u70ba x\u00b2\uff0c\u4e26\u5c07\u7d50\u679c\u53cd\u6c42\u81f3\u539f\u59cb\u88ab\u7a4d\u51fd\u6578\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u4e9b\u5361\u7247\u8aaa\u660e\u4e86\uff0c\u5373\u4f7f\u6bcf\u500b\u6700\u7d42\u7b54\u6848\u90fd\u662f\u6b63\u78ba\u7684\uff0c\u65b9\u6cd5\u6aa2\u67e5\u70ba\u4f55\u4f9d\u7136\u91cd\u8981\u3002\u95dc\u65bc <a href=\"https:\/\/www.glbgpt.com\/hub\/can-chatgpt-do-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT \u5728\u6578\u5b78\u65b9\u9762\u7684\u512a\u9ede\u8207\u7f3a\u9ede<\/a> \u8aaa\u660e\u4e86\u5728\u300c\u50c5\u8a55\u4f30\u7b54\u6848\u300d\u7684\u60c5\u6cc1\u4e0b\uff0c\u70ba\u4f55\u53ef\u80fd\u6703\u907a\u6f0f\u67d0\u500b\u8f03\u5f31\u7684\u904e\u7a0b\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u300c\u591a\u9918\u6839\u6e2c\u8a66\u300d\u662f\u66f4\u5ee3\u6cdb\u7684\u5931\u6557\u6a21\u5f0f\u4e4b\u4e00\u3002\u53c3\u898b <a href=\"https:\/\/www.glbgpt.com\/hub\/why-is-chatgpt-so-bad-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u70ba\u4ec0\u9ebc ChatGPT \u6703\u5728\u6578\u5b78\u6e2c\u9a57\u4e2d\u5931\u5206<\/a> \u6b32\u4e86\u89e3\u66f4\u591a\u56e0\u689d\u4ef6\u8207\u9a57\u8b49\u65b9\u5f0f\u4e0d\u540c\u800c\u5c0e\u81f4\u7d50\u679c\u6539\u8b8a\u7684\u6848\u4f8b\uff0c\u8acb\u53c3\u95b1\u4ee5\u4e0b\u5167\u5bb9\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"choose\">\u8a72\u9078\u64c7\u54ea\u6b3e AI \u6578\u5b78\u89e3\u984c\u5de5\u5177\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u82e5\u9700\u9ad8\u5ea6\u7d50\u69cb\u5316\u7684\u52a0\u5de5\u6eb6\u6db2\uff0c\u8acb\u9078\u7528 GPT-5.6 Sol<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u672c\u6b21\u6e2c\u8a66\u4e2d\uff0cGPT-5.6 Sol \u7d66\u51fa\u4e86\u6700\u9577\u4e14\u5340\u6bb5\u5283\u5206\u6700\u660e\u78ba\u7684\u89e3\u7b54\u3002\u82e5\u60a8\u5e0c\u671b\u5c07\u6bcf\u9805\u8f49\u63db\u3001\u689d\u4ef6\u548c\u9a57\u8b49\u90fd\u8a73\u7d30\u5beb\u51fa\uff0c\u9019\u662f\u4e00\u500b\u5f88\u597d\u7684\u9078\u64c7\u3002\u5728\u9019\u6b21\u55ae\u4e00\u8acb\u6c42\u4e2d\uff0c\u5b83\u662f\u4e09\u8005\u4e2d\u901f\u5ea6\u6700\u6162\u7684\uff0c\u56e0\u6b64\u5c0d\u901f\u5ea6\u6709\u8981\u6c42\u7684\u7528\u6236\u61c9\u81ea\u884c\u5728\u5176\u5de5\u4f5c\u8ca0\u8f09\u4e0a\u9032\u884c\u6e2c\u8a66\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u82e5\u9700\u7c21\u660e\u800c\u56b4\u8b39\u7684\u89e3\u8aaa\uff0c\u8acb\u9078\u64c7 Claude Opus 5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Claude Opus 5 \u900f\u904e\u7c21\u6f54\u7684\u63a8\u7406\u8207\u56b4\u8b39\u7684\u689d\u4ef6\u6aa2\u67e5\uff0c\u6210\u529f\u5f97\u51fa\u6240\u6709\u6b63\u78ba\u7b54\u6848\u3002\u5728\u6b64\u8f2a\u6e2c\u8a66\u4e2d\uff0c\u5176 API \u56de\u61c9\u5ef6\u9072\u8207 Gemini \u76f8\u7576\u3002\u7531\u65bc\u64f7\u53d6\u7de8\u78bc\u7684\u6280\u8853\u554f\u984c\uff0c\u5132\u5b58\u7684\u539f\u59cb\u56de\u61c9\u4e2d\u5c11\u6578\u6578\u5b78\u7b26\u865f\u51fa\u73fe\u7570\u5e38\uff1b\u4f46\u5e95\u5c64\u7684\u63a8\u5c0e\u6b65\u9a5f\u8207\u7b54\u6848\u4ecd\u6e05\u6670\u4e14\u6b63\u78ba\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u9078\u64c7 Gemini 3.6 Flash\uff0c\u4ee5\u7372\u5f97\u5feb\u901f\u4e14\u5b8c\u6574\u7684\u56de\u61c9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u9019\u6b21\u55ae\u6b21\u57f7\u884c\u6bd4\u8f03\u4e2d\uff0cGemini 3.6 Flash \u662f\u901f\u5ea6\u6700\u5feb\u7684\u6a5f\u578b\uff0c\u4e14\u4ecd\u5305\u542b\u6240\u6709\u5fc5\u8981\u7684\u9a57\u8b49\u6b65\u9a5f\u3002\u9019\u4f7f\u5176\u6210\u70ba\u5feb\u901f\u6aa2\u67e5\u7684\u5be6\u7528\u9996\u9078\uff0c\u4f46\u76f8\u8f03\u65bc Claude \u50c5\u9818\u5148 0.44 \u79d2\uff0c\u5dee\u8ddd\u904e\u5c0f\uff0c\u7121\u6cd5\u8996\u70ba\u6c38\u4e45\u6027\u7684\u901f\u5ea6\u512a\u52e2\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u95dc OpenAI \u7684\u5177\u9ad4\u6c7a\u7b56\uff0c\u8acb\u53c3\u95b1 <a href=\"https:\/\/www.glbgpt.com\/hub\/which-chatgpt-model-is-best-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u54ea\u4e00\u6b3e ChatGPT \u6a5f\u578b\u6700\u9069\u5408\u6578\u5b78\uff1f<\/a>. \u81f3\u65bc\u7814\u7a76\u5de5\u4f5c\u6d41\u7a0b\uff0c\u8a72 <a href=\"https:\/\/www.glbgpt.com\/hub\/how-to-use-chatgpt-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT \u4f5c\u696d\u5de5\u4f5c\u6d41\u7a0b<\/a> \u8aaa\u660e\u4e86\u5982\u4f55\u8981\u6c42\u5c0d\u65b9\u63d0\u4f9b\u89e3\u91cb\uff0c\u800c\u975e\u50c5\u8f38\u51fa\u7b54\u6848\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"globalgpt-math-solver\">\u5728 GlobalGPT \u4e2d\u4ee5\u66f4\u7c21\u55ae\u7684\u65b9\u5f0f\u89e3\u984c\u8207\u6aa2\u67e5\u6578\u5b78\u984c\u76ee<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u60a8\u5e0c\u671b\u4f7f\u7528\u4e00\u500b\u5c08\u7528\u7684\u4ecb\u9762\uff0c\u800c\u975e\u81ea\u884c\u5efa\u69cb API \u8acb\u6c42\uff0c\u90a3\u9ebc <a href=\"https:\/\/www.glbgpt.com\/features\/ai-math-solver\" target=\"_blank\" rel=\"noreferrer noopener\">GlobalGPT \u4eba\u5de5\u667a\u6167\u6578\u5b78\u89e3\u984c\u5668<\/a> \u8b93\u60a8\u80fd\u5728\u540c\u4e00\u500b\u5e73\u53f0\u8f38\u5165\u984c\u76ee\u6216\u4e0a\u50b3\u5716\u7247\uff0c\u4e26\u8acb\u6c42\u9010\u6b65\u89e3\u8aaa\u3002\u60a8\u53ef\u4ee5\u85c9\u6b64\u53d6\u5f97\u89e3\u984c\u904e\u7a0b\uff0c\u7136\u5f8c\u5728\u63a1\u4fe1\u7b54\u6848\u4e4b\u524d\uff0c\u518d\u8981\u6c42\u9a57\u8b49\u6b65\u9a5f\u3002.<\/p>\n\n\n\n<div class=\"glb-math-cta\" style=\"border:1px solid #f0c45a;background:#fff8e6;border-radius:10px;padding:18px;margin:22px 0;text-align:center\"><strong>\u8a66\u8a66 GlobalGPT \u4eba\u5de5\u667a\u6167\u6578\u5b78\u89e3\u984c\u5668<\/strong><p>\u8f38\u5165\u6216\u4e0a\u50b3\u4e00\u9053\u6578\u5b78\u984c\u76ee\uff0c\u6aa2\u8996\u89e3\u984c\u6b65\u9a5f\uff0c\u4e26\u8acb\u89e3\u984c\u5668\u6aa2\u67e5\u7d50\u679c\u3002.<\/p><p><a href=\"https:\/\/www.glbgpt.com\/features\/ai-math-solver\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"display:inline-block;background:#fec33a;color:#17202a;text-decoration:none;border-radius:7px;padding:11px 18px;font-weight:700\">OpenAI \u6578\u5b78\u89e3\u984c\u5668<\/a><\/p><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"better-results\">\u5982\u4f55\u5f9e\u4efb\u4f55 AI \u6578\u5b78\u89e3\u984c\u5de5\u5177\u4e2d\u7372\u5f97\u66f4\u597d\u7684\u7d50\u679c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u5f9e AI \u6578\u5b78\u89e3\u7b97\u5668\u53d6\u5f97\u6700\u4f73\u7d50\u679c\uff0c\u53d6\u6c7a\u65bc\u60a8\u5982\u4f55\u63d0\u51fa\u554f\u984c\u3002\u4e00\u500b\u6e05\u695a\u7684\u63d0\u793a\u53ef\u4ee5\u8b93\u60a8\u5f97\u5230\u8f03\u5f31\u7684\u7b54\u6848\u6216\u6709\u7528\u7684\u9010\u6b65\u89e3\u6c7a\u65b9\u6848\u3002.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u7528\u65bc\u89e3\u6c7a\u554f\u984c\uff1a<\/strong> \u201c\u300c\u8acb\u4e00\u6b65\u4e00\u6b65\u5730\u89e3\u9019\u9053\u984c\uff0c\u4e26\u8aaa\u660e\u6bcf\u4e00\u6b65\u7684\u8b8a\u63db\u3002\u300d\u201d<\/li><li><strong>\u7528\u65bc\u6aa2\u67e5\u5de5\u4f5c\uff1a<\/strong> \u201c\u300c\u627e\u51fa\u6211\u7b2c\u4e00\u500b\u932f\u8aa4\u7684\u6b65\u9a5f\uff0c\u4e26\u8aaa\u660e\u70ba\u4f55\u6703\u51fa\u932f\u3002\u300d\u201d<\/li><li><strong>\u9069\u7528\u689d\u4ef6\uff1a<\/strong> \u201c\u300c\u5217\u51fa\u5b9a\u7fa9\u57df\uff0c\u4e26\u5c0d\u539f\u65b9\u7a0b\u5f0f\u7684\u6bcf\u500b\u5019\u9078\u6578\u9032\u884c\u9a57\u8b49\u3002\u300d\u201d<\/li><li><strong>\u95dc\u65bc\u5fae\u7a4d\u5206\uff1a<\/strong> \u201c\u300c\u8acb\u6307\u51fa\u6b64\u8b8a\u63db\u7684\u540d\u7a31\uff0c\u4e26\u900f\u904e\u6c42\u5c0e\u9a57\u8b49\u539f\u51fd\u6578\u3002\u300d\u201d<\/li><li><strong>\u5c0d\u65bc\u6587\u5b57\u554f\u984c\uff1a<\/strong> \u201c\u300c\u5728\u6c42\u89e3\u4e4b\u524d\uff0c\u8acb\u5148\u5b9a\u7fa9\u8b8a\u6578\u4e26\u5beb\u51fa\u65b9\u7a0b\u5f0f\u3002\u300d\u201d<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u63a1\u4fe1\u4e00\u500b\u68d8\u624b\u7684\u7b54\u6848\u4e4b\u524d\uff0c\u8acb\u5c07\u6700\u7d42\u7d50\u679c\u8207\u5047\u8a2d\u53ca\u9a57\u8b49\u7d50\u679c\u9032\u884c\u6bd4\u5c0d\u2014\u2014\u800c\u975e\u50c5\u8207\u5176\u4ed6\u6a21\u578b\u7684\u6700\u7d42\u6578\u503c\u9032\u884c\u6bd4\u8f03\u3002\u8a72 <a href=\"https:\/\/www.glbgpt.com\/hub\/is-chatgpt-good-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT \u6578\u5b78\u79d1\u76ee\u7684\u6e96\u78ba\u6027\u5be9\u67e5<\/a> \u63d0\u4f9b\u4e86\u66f4\u5be6\u7528\u7684\u6aa2\u67e5\u6a19\u6e96\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"faq\">\u5e38\u898b\u554f\u984c<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u5728\u9019\u9805\u6e2c\u8a66\u4e2d\uff0c\u54ea\u6b3e AI \u6578\u5b78\u89e3\u984c\u5de5\u5177\u8868\u73fe\u6700\u4f73\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 2026 \u5e74 7 \u6708 28 \u65e5\u7684\u6e2c\u8a66\u4e2d\uff0cGPT-5.6 Sol\u3001Claude Opus 5 \u53ca Gemini 3.6 Flash \u7684\u6210\u7e3e\u5747\u70ba 5\/5\uff0c\u4e26\u5217\u7b2c\u4e00\u3002Gemini \u5728\u55ae\u6b21\u57f7\u884c\u4e2d\u901f\u5ea6\u6700\u5feb\uff0c\u4f46\u6a23\u672c\u6578\u904e\u5c11\uff0c\u7121\u6cd5\u64da\u6b64\u5224\u5b9a\u6574\u9ad4\u6e96\u78ba\u5ea6\u6216\u901f\u5ea6\u7684\u512a\u52dd\u8005\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u54ea\u4e00\u6b3e\u8eca\u578b\u6700\u5feb\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Gemini 3.6 Flash \u5728 17.45 \u79d2\u5167\u5b8c\u6210\uff0cClaude Opus 5 \u5728 17.89 \u79d2\u5167\u5b8c\u6210\uff0c\u800c GPT-5.6 Sol \u5247\u5728 32.85 \u79d2\u5167\u5b8c\u6210\u3002\u9019\u4e9b\u662f\u55ae\u6b21\u57f7\u884c\u7684 API \u6e2c\u91cf\u7d50\u679c\uff0c\u4e26\u975e\u9577\u671f\u5ef6\u9072\u57fa\u6e96\u6e2c\u8a66\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">AI \u53ef\u4ee5\u6e96\u78ba\u89e3\u6c7a\u6587\u5b57\u554f\u984c\u55ce\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\uff0c\u4f46\u8acb\u8b93\u6a21\u578b\u5b9a\u7fa9\u8b8a\u6578\u3001\u5efa\u7acb\u65b9\u7a0b\u5f0f\uff0c\u4e26\u9a57\u8b49\u7d50\u679c\u3002\u5728\u9019\u9805\u6e2c\u8a66\u4e2d\uff0c\u9019\u4e09\u500b\u7d93\u904e\u6e2c\u8a66\u7684\u6a21\u578b\u90fd\u6b63\u78ba\u5730\u89e3\u51fa\u4e86\u5e7e\u4f55\u984c\u548c\u767e\u5206\u6bd4\u6587\u5b57\u984c\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4eba\u5de5\u667a\u6167\u6578\u5b78\u89e3\u984c\u5668\u6703\u4fdd\u7559\u4e00\u500b\u4e0d\u6b63\u78ba\u7684\u7b54\u6848\u55ce\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002\u5c07\u65b9\u7a0b\u5f0f\u5e73\u65b9\u6216\u9664\u4ee5\u8b8a\u91cf\u8868\u9054\u5f0f\uff0c\u53ef\u80fd\u6703\u5f15\u5165\u6216\u63a9\u84cb\u7121\u6548\u7684\u60c5\u6cc1\u3002\u8acb\u6c42\u89e3\u5668\u5217\u51fa\u689d\u4ef6\uff0c\u4e26\u5c0d\u539f\u59cb\u554f\u984c\u4e2d\u7684\u6bcf\u500b\u5019\u9078\u89e3\u9032\u884c\u6e2c\u8a66\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">AI \u80fd\u8b80\u61c2\u624b\u5beb\u7684\u6578\u5b78\u984c\u55ce\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u591a\u6a21\u614b\u6578\u5b78\u5de5\u5177\u53ef\u63a5\u53d7\u5716\u50cf\u8f38\u5165\uff0c\u4f46\u672c\u6587\u6240\u8ff0\u7684\u7d14\u6587\u5b57 API \u57f7\u884c\u6d41\u7a0b\u4e26\u672a\u6e2c\u8a66\u624b\u5beb\u8fa8\u8b58\u529f\u80fd\u3002GlobalGPT 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\u65e5\u4f7f\u7528\u7d93\u6388\u6b0a\u7684 API \u9023\u7dda\uff0c\u4e26\u6d88\u8017\u4e86\u9069\u91cf\u7684 API \u914d\u984d\u3002\u6bcf\u500b\u6a21\u578b\u5747\u5728\u55ae\u6b21\u8acb\u6c42\u4e2d\u6536\u5230\u76f8\u540c\u7684\u4e94\u9053\u984c\u76ee\u53ca\u8aaa\u660e\uff1b\u672a\u63d0\u4f9b\u4efb\u4f55\u91dd\u5c0d\u7279\u5b9a\u6a21\u578b\u7684\u53d6\u6a23\u8a2d\u5b9a\u3002.<\/p>\n\n\n\n<script type=\"application\/ld+json\">{\n    \"@context\": \"https:\\\/\\\/schema.org\",\n    \"@type\": \"FAQPage\",\n    \"mainEntity\": [\n        {\n            \"@type\": \"Question\",\n            \"name\": \"What is the best AI math solver in this test?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash tied at 5\\\/5 on the July 28, 2026 test. Gemini returned fastest in the single run, but the sample is too small to declare a universal accuracy or speed winner.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Which model was fastest?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Gemini 3.6 Flash returned in 17.45 seconds, Claude Opus 5 in 17.89 seconds, and GPT-5.6 Sol in 32.85 seconds. These are one-run API measurements, not long-term latency benchmarks.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can AI solve word problems accurately?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes, but ask the model to define variables, form equations, and verify the result. All three tested models solved the geometry and percentage word problems correctly in this test.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can an AI math solver keep an invalid answer?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes. Squaring equations and dividing by variable expressions can introduce or hide invalid cases. Ask the solver to state conditions and test every candidate in the original problem.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can AI read handwritten math problems?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Multimodal math tools can accept image input, but handwriting recognition was not tested through the text-only API run described here. The GlobalGPT Math Solver page supports uploading a math-problem image for step-by-step help.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can I use GlobalGPT for math problems?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes. The GlobalGPT AI Math Solver provides a focused place to type or upload a problem and receive a step-by-step explanation. You should still review the conditions and request a verification step.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Was this a paid, reproducible test?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"The test used an authorized API connection on July 28, 2026 and consumed a reasonable amount of API usage. Each model received the same five questions and instructions in one request; no model-specific sampling settings were supplied.\"\n            }\n        }\n    ]\n}<\/script>","protected":false},"excerpt":{"rendered":"<p>Fresh test, July 28, 2026: We ran the same five-problem math test through GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash using one OpenAI-compatible API workflow. All three solved all five questions correctly and verified their answers. The meaningful differences in this small test were response style and single-run latency\u2014not correctness. Quick answer: There [&hellip;]<\/p>","protected":false},"author":7,"featured_media":13093,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"Best AI Math Solver (2026): Tested Tools for Accurate Results","_seopress_titles_desc":"We tested GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash on five math problems. Compare accuracy, steps, verification, and real API latency.","_seopress_robots_index":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-13041","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai-chat"],"_links":{"self":[{"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/posts\/13041","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/comments?post=13041"}],"version-history":[{"count":18,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/posts\/13041\/revisions"}],"predecessor-version":[{"id":17341,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/posts\/13041\/revisions\/17341"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/media\/13093"}],"wp:attachment":[{"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/media?parent=13041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/categories?post=13041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh-hk\/wp-json\/wp\/v2\/tags?post=13041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}