{"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":"%e7%bb%8f%e8%bf%87%e6%b5%8b%e8%af%95%e7%9a%84%e6%9c%80%e4%bd%b3ai%e6%95%b0%e5%ad%a6%e8%a7%a3%e9%a2%98%e5%b7%a5%e5%85%b7","status":"publish","type":"post","link":"https:\/\/wp.glbgpt.com\/hub\/zh\/best-ai-math-solver-tested","title":{"rendered":"\u6700\u4f73\u4eba\u5de5\u667a\u80fd\u6570\u5b66\u6c42\u89e3\u5668 (2026)\uff1a\u7cbe\u786e\u7ed3\u679c\u7684\u6d4b\u8bd5\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\u6d4b\u8bd5\uff0c2026\u5e747\u670828\u65e5\uff1a<\/strong> \u6211\u4eec\u4f7f\u7528\u4e00\u4e2a\u517c\u5bb9 OpenAI \u7684 API \u5de5\u4f5c\u6d41\uff0c\u5206\u522b\u5728 GPT-5.6 Sol\u3001Claude Opus 5 \u548c Gemini 3.6 Flash \u4e0a\u8fd0\u884c\u4e86\u540c\u4e00\u5957\u5305\u542b\u4e94\u4e2a\u95ee\u9898\u7684\u6570\u5b66\u6d4b\u8bd5\u3002\u8fd9\u4e09\u6b3e\u8bbe\u5907\u5747\u6b63\u786e\u89e3\u7b54\u4e86\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\uff0c\u5e76\u9a8c\u8bc1\u4e86\u7b54\u6848\u3002 \u5728\u8fd9\u9879\u5c0f\u578b\u6d4b\u8bd5\u4e2d\uff0c\u6709\u610f\u4e49\u7684\u5dee\u5f02\u5728\u4e8e\u54cd\u5e94\u98ce\u683c\u548c\u5355\u6b21\u8fd0\u884c\u5ef6\u8fdf\u2014\u2014\u800c\u975e\u6b63\u786e\u6027\u3002.<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5feb\u901f\u56de\u7b54\uff1a<\/strong> \u5728\u672c\u6b21\u6d4b\u8bd5\u4e2d\uff0c\u6ca1\u6709\u8bbe\u5907\u5728\u51c6\u786e\u7387\u65b9\u9762\u8131\u9896\u800c\u51fa\u3002GPT-5.6 Sol\u3001Claude Opus 5 \u548c Gemini 3.6 Flash \u5747\u83b7\u5f97\u4e86 5\/5 \u7684\u5f97\u5206\u3002 Gemini 3.6 Flash\u4ee517.45\u79d2\u7684\u6210\u7ee9\u7387\u5148\u5b8c\u6210\uff0cClaude Opus 5\u7d27\u968f\u5176\u540e\uff0c\u7528\u65f617.89\u79d2\uff0c\u800cGPT-5.6 Sol\u5219\u8017\u65f632.85\u79d2\u3002 \u8fd9\u4e9b\u65f6\u95f4\u6570\u636e\u6765\u81ea\u6bcf\u4e2a\u6a21\u578b\u7684\u4e00\u6b21 API \u8bf7\u6c42\uff0c\u56e0\u6b64\u4e0d\u5e94\u5c06\u5176\u89c6\u4e3a\u901a\u7528\u7684\u901f\u5ea6\u57fa\u51c6\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u597d\u7684AI\u6570\u5b66\u89e3\u9898\u5de5\u5177\uff0c\u4e0d\u4ec5\u8981\u7ed9\u51fa\u6b63\u786e\u7b54\u6848\uff0c\u8fd8\u8981\u5c55\u793a\u53ef\u4f9b\u9a8c\u8bc1\u7684\u89e3\u9898\u8fc7\u7a0b\uff0c\u9075\u5faa\u8981\u6c42\u7684\u683c\u5f0f\uff0c\u5e76\u68c0\u67e5\u662f\u5426\u5b58\u5728\u9690\u542b\u6761\u4ef6\u3002\u6b63\u56e0\u5982\u6b64\uff0c\u6211\u4eec\u7684\u6d4b\u8bd5\u6db5\u76d6\u4e86\u666e\u901a\u4ee3\u6570\u3001\u51e0\u4f55\u5e94\u7528\u9898\u3001\u591a\u6b65\u9aa4\u767e\u5206\u6bd4\u9898\u3001\u591a\u4f59\u6839\u9677\u9631\u4ee5\u53ca\u5fae\u79ef\u5206\u2014\u2014\u800c\u4e0d\u4ec5\u4ec5\u662f\u7b80\u5355\u7684\u6c42\u6700\u7ec8\u7b54\u6848\u7684\u9898\u76ee\u3002.<\/p>\n\n\n\n<nav class=\"glb-article-toc\" aria-label=\"\u76ee\u5f55\" style=\"border:1px solid #f3d18b;background:#fff8e6;border-radius:8px;padding:18px;margin:18px 0\"><strong>\u76ee\u5f55<\/strong><ul><li><a href=\"#how-we-tested\">\u6d4b\u8bd5\u65b9\u6cd5<\/a><\/li><li><a href=\"#results\">\u7ed3\u679c\u4e00\u89c8<\/a><\/li><li><a href=\"#five-tests\">\u4e94\u573a\u6570\u5b66\u8003\u8bd5<\/a><\/li><li><a href=\"#choose\">\u5e94\u8be5\u9009\u62e9\u54ea\u79cd\u6c42\u89e3\u5668\uff1f<\/a><\/li><li><a href=\"#globalgpt-math-solver\">\u4f7f\u7528 GlobalGPT \u6570\u5b66\u89e3\u9898\u5668<\/a><\/li><li><a href=\"#better-results\">\u5982\u4f55\u83b7\u5f97\u66f4\u597d\u7684\u7ed3\u679c<\/a><\/li><li><a href=\"#faq\">\u5e38\u89c1\u95ee\u9898<\/a><\/li><\/ul><\/nav>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"how-we-tested\">\u6211\u4eec\u5982\u4f55\u6d4b\u8bd5\u6700\u4f73\u7684AI\u6570\u5b66\u89e3\u9898\u5de5\u5177<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u901a\u8fc7\u540c\u4e00\u6761\u5df2\u83b7\u6279\u51c6\u7684 API \u8fde\u63a5\uff0c\u6d4b\u8bd5\u4e86\u76ee\u524d\u53ef\u7528\u7684\u6700\u65b0\u76f8\u5173\u6a21\u578b\uff1aGPT-5.6 Sol\u3001Claude Opus 5 \u548c Gemini 3.6 Flash\u3002\u6211\u4eec\u5bf9\u7167\u73b0\u6709\u7684 API \u76ee\u5f55\u4ee5\u53ca\u4f9b\u5e94\u5546\u7684\u6700\u65b0\u9875\u9762\uff0c\u6838\u5bf9\u4e86\u8fd9\u4e9b\u6a21\u578b\u7684\u540d\u79f0\uff0c\u4ee5\u786e\u8ba4 <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>, \u548c <a href=\"https:\/\/blog.google\/innovation-and-ai\/models-and-research\/gemini-models\/\" target=\"_blank\" rel=\"noreferrer noopener\">Gemini 3.6 Flash<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bcf\u4e2a\u6a21\u578b\u90fd\u6536\u5230\u76f8\u540c\u7684\u7cfb\u7edf\u6307\u4ee4\uff0c\u5e76\u5728\u540c\u4e00\u6761\u8bf7\u6c42\u4e2d\u6536\u5230\u4e86\u76f8\u540c\u7684\u4e94\u4e2a\u95ee\u9898\u3002\u6211\u4eec\u6ca1\u6709\u63d0\u4f9b\u6e29\u5ea6\u503c\uff0c\u4e5f\u6ca1\u6709\u6307\u5b9a\u9488\u5bf9\u7279\u5b9a\u6a21\u578b\u7684\u91c7\u6837\u8bbe\u7f6e\u3002\u6bcf\u4e2a\u7b54\u6848\u90fd\u5fc5\u987b\u5305\u542b\u89e3\u9898\u6b65\u9aa4\u3001\u6700\u7ec8\u7b54\u6848\u548c\u9a8c\u8bc1\u8fc7\u7a0b\u3002\u672a\u8981\u6c42\u4f7f\u7528\u7f51\u7edc\u641c\u7d22\u6216\u5916\u90e8\u6570\u5b66\u5de5\u5177\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5f97\u5206\u533a\u57df<\/th><th>\u6211\u4eec\u68c0\u67e5\u4e86\u4ec0\u4e48<\/th><th>\u91cd\u91cf<\/th><\/tr><\/thead><tbody><tr><td>\u6b63\u786e\u6027<\/td><td>\u4e94\u9053\u9898\u5168\u90e8\u7b54\u5bf9<\/td><td>50%<\/td><\/tr><tr><td>\u6b65\u6570\u8d28\u91cf<\/td><td>\u53ef\u5ba1\u8ba1\u7684\u65b9\u6cd5\uff0c\u5176\u4e2d\u663e\u793a\u4e86\u91cd\u8981\u7684\u8f6c\u6362\u6b65\u9aa4<\/td><td>20%<\/td><\/tr><tr><td>\u64cd\u4f5c\u8bf4\u660e\u5982\u4e0b<\/td><td>\u6240\u9700\u6807\u7b7e\u53ca\u6bcf\u9879\u4efb\u52a1\u7684\u5168\u9762\u8986\u76d6<\/td><td>15%<\/td><\/tr><tr><td>\u9a8c\u8bc1<\/td><td>\u53cd\u4ee3\u5165\u6cd5\u3001\u6761\u4ef6\u68c0\u67e5\u6216\u6c42\u5bfc<\/td><td>15%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e94\u4e2a\u95ee\u9898\u8db3\u4ee5\u63ed\u793a\u660e\u663e\u7684\u7f3a\u9677\uff0c\u4f46\u8fd8\u4e0d\u8db3\u4ee5\u8bc1\u660e\u67d0\u4e00\u79cd\u6a21\u578b\u5728\u6570\u5b66\u7684\u5404\u4e2a\u5206\u652f\u4e2d\u90fd\u662f\u6700\u597d\u7684\u3002\u5982\u9700\u66f4\u5168\u9762\u7684\u5b66\u751f\u4e0e\u5de5\u5177\u7684\u6bd4\u8f83\uff0c\u8bf7\u53c2\u9605 <a href=\"https:\/\/www.glbgpt.com\/hub\/best-ai-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6700\u9002\u5408\u505a\u4f5c\u4e1a\u7684\u4eba\u5de5\u667a\u80fd\u5de5\u5177<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"results\">\u771f\u5b9e API \u6d4b\u8bd5\u7ed3\u679c\u4e00\u89c8<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u6a21\u578b<\/th><th>\u6b63\u786e\u7b54\u6848<\/th><th>\u6b63\u786e\u6027<\/th><th>\u6b65\u9aa4<\/th><th>\u64cd\u4f5c\u8bf4\u660e\u5982\u4e0b<\/th><th>\u9a8c\u8bc1<\/th><th>\u603b\u8ba1<\/th><th>\u5355\u6b21\u8fd0\u884c\u5ef6\u8fdf<\/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 Flash<\/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>\u7ed3\u8bba<\/strong> \u5728\u8fd9\u9879\u6d4b\u8bd5\u4e2d\uff0c\u8fd9\u4e09\u79cd\u6a21\u578b\u5728\u6570\u5b66\u6b63\u786e\u6027\u548c\u9a8c\u8bc1\u65b9\u9762\u5747\u5e76\u5217\u7b2c\u4e00\u3002Gemini 3.6 Flash \u4ee5\u5fae\u5f31\u4f18\u52bf\u9886\u5148\u4e8e Claude Opus 5\uff0c\u6210\u4e3a\u901f\u5ea6\u6700\u5feb\u7684\u6a21\u578b\u3002GPT-5.6 Sol \u751f\u6210\u4e86\u6700\u8be6\u5c3d\u3001\u7ed3\u6784\u6700\u6e05\u6670\u7684\u7b54\u6848\uff0c\u4f46\u5728\u672c\u6b21\u5355\u6b21\u8fd0\u884c\u4e2d\u901f\u5ea6\u8f83\u6162\u3002 \u5728\u672a\u8fdb\u884c\u91cd\u590d\u6d4b\u8bd5\u7684\u60c5\u51b5\u4e0b\uff0c\u8bf7\u52ff\u5c06\u8fd9\u4e09\u4e2a\u5ef6\u8fdf\u6570\u503c\u76f4\u63a5\u4f5c\u4e3a\u666e\u904d\u7684\u901f\u5ea6\u6392\u540d\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u60a8\u6b63\u5728OpenAI\u578b\u53f7\u4e0e\u5176\u4ed6\u66ff\u4ee3\u578b\u53f7\u4e4b\u95f4\u8fdb\u884c\u6289\u62e9\uff0c\u90a3\u4e48 <a href=\"https:\/\/www.glbgpt.com\/hub\/best-chatgpt-alternatives-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">2026\u5e74ChatGPT\u6570\u5b66\u5907\u8003\u9898\u7684\u66ff\u4ee3\u65b9\u6848<\/a> \u6db5\u76d6\u4e86\u66f4\u5e7f\u6cdb\u7684\u9009\u62e9\u8303\u56f4\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"five-tests\">\u6211\u4eec\u4f7f\u7528\u7684\u4e94\u9053\u6570\u5b66\u9898<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6d4b\u8bd5 1\uff1a\u4ee3\u6570\u4e0e\u5bf9\u79f0\u8868\u8fbe\u5f0f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u4ee3\u6570 \u00b7 \u6052\u7b49\u5f0f\u7684\u5e94\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\">\u6d4b\u8bd5 1\uff1a\u4ee3\u6570\u4e0e\u5bf9\u79f0\u8868\u8fbe\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u4ee3\u6570 \u00b7 \u6052\u7b49\u5f0f\u7684\u5e94\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c1\u9898 \u2014 \u4ee3\u6570\uff1a\u5b9e\u6570 x \u548c y \u6ee1\u8db3 x + y = 11 \u4e14 xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u7136\u540e\u786e\u5b9a\u65e0\u5e8f\u5bf9 {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u987b\u59cb\u7ec8\u5982\u4e00\u5730\u4f7f\u7528\u7ed9\u5b9a\u7684\u548c\/\u79ef\uff0c\u5e76\u9a8c\u8bc1\u8fd9\u4e24\u4e2a\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5bf9\u79f0\u5355\u4f4d\u77ed\u8def\u6cd5\uff0c\u4ece\u4e8c\u6b21\u5f0f\u4e2d\u6c42\u5f973\u548c8\uff0c\u5e76\u9a8c\u8bc1\u4e86\u548c\u3001\u79ef\u4ee5\u53ca\u76ee\u6807\u503c\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f632.85\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\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\u786e\u5b9a \\(x\\) \u548c \\(y\\) \u7684\u503c\uff0c\u5b83\u4eec\u5fc5\u987b\u662f\u4e0b\u5217\u65b9\u7a0b\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\u8fd9\u4e24\u4e2a\u503c\u662f \\(3\\) \u548c \\(8\\)\u3002\n\n### \u6700\u7ec8\u7b54\u6848\n\n\\[\n\\boxed{x^2+y^2=73},\\qquad \\boxed{\\{x,y\\}=\\{3,8\\}}.\n\\]\n\n### \u9a8c\u8bc1\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\">\u6d4b\u8bd5 1\uff1a\u4ee3\u6570\u4e0e\u5bf9\u79f0\u8868\u8fbe\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u4ee3\u6570 \u00b7 \u6052\u7b49\u5f0f\u7684\u5e94\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c1\u9898 \u2014 \u4ee3\u6570\uff1a\u5b9e\u6570 x \u548c y \u6ee1\u8db3 x + y = 11 \u4e14 xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u7136\u540e\u786e\u5b9a\u65e0\u5e8f\u5bf9 {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u987b\u59cb\u7ec8\u5982\u4e00\u5730\u4f7f\u7528\u7ed9\u5b9a\u7684\u548c\/\u79ef\uff0c\u5e76\u9a8c\u8bc1\u8fd9\u4e24\u4e2a\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5bf9\u79f0\u5355\u4f4d\u77ed\u8def\u6cd5\uff0c\u4ece\u4e8c\u6b21\u5f0f\u4e2d\u6c42\u5f973\u548c8\uff0c\u5e76\u9a8c\u8bc1\u4e86\u548c\u3001\u79ef\u4ee5\u53ca\u76ee\u6807\u503c\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u8017\u65f617.89\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\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 t\u00b2 - 11t + 24 = 0 \u7684\u6839\uff0c\u5373 (t - 3)(t - 8)\u3002\n\n\u6700\u7ec8\u7b54\u6848\nx\u00b2 + y\u00b2 = 73\uff1b{x, y} = {3, 8}\u3002\n\n\u9a8c\u8bc1\n3 + 8 = 11\uff0c3\u00b78 = 24\uff0c9 + 64 = 73\u3002\u5224\u522b\u5f0f 121 - 96 = 25 &gt; 0\uff0c\u56e0\u6b64\u4e24\u4e2a\u6839\u5747\u4e3a\u5b9e\u6570\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\">\u6d4b\u8bd5 1\uff1a\u4ee3\u6570\u4e0e\u5bf9\u79f0\u8868\u8fbe\u5f0f<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u4ee3\u6570 \u00b7 \u6052\u7b49\u5f0f\u7684\u5e94\u7528 \u00b7 \u65b9\u7a0b\u7684\u6c42\u89e3<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c1\u9898 \u2014 \u4ee3\u6570\uff1a\u5b9e\u6570 x \u548c y \u6ee1\u8db3 x + y = 11 \u4e14 xy = 24\u3002\u6c42 x\u00b2 + y\u00b2\uff0c\u7136\u540e\u786e\u5b9a\u65e0\u5e8f\u5bf9 {x, y}\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2+y\u00b2=73\uff1b{x,y}={3,8}\u3002\u5fc5\u987b\u59cb\u7ec8\u5982\u4e00\u5730\u4f7f\u7528\u7ed9\u5b9a\u7684\u548c\/\u79ef\uff0c\u5e76\u9a8c\u8bc1\u8fd9\u4e24\u4e2a\u503c\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5bf9\u79f0\u5355\u4f4d\u77ed\u8def\u6cd5\uff0c\u4ece\u4e8c\u6b21\u5f0f\u4e2d\u6c42\u5f973\u548c8\uff0c\u5e76\u9a8c\u8bc1\u4e86\u548c\u3001\u79ef\u4ee5\u53ca\u76ee\u6807\u503c\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u8fd9\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f617.45\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\uff1a\n1. \u5229\u7528\u4ee3\u6570\u6052\u7b49\u5f0f $x\u00b2 + y\u00b2 = (x + y)\u00b2 - 2xy$\u3002\n2. \u4ee3\u5165\u5df2\u77e5\u503c $x + y = 11$ \u548c $xy = 24$\uff1a\n   $$x^2 + y^2 = 11^2 - 2(24) = 121 - 48 = 73$$\n3. \u4e3a\u4e86\u6c42\u51fa $x$ \u548c $y$\uff0c\u6784\u9020\u4e00\u4e2a\u6839\u4e3a $x$ \u548c $y$ \u7684\u4e8c\u6b21\u65b9\u7a0b\uff1a\n   $$t^2 - (x+y)t + xy = 0 \\implies t^2 - 11t + 24 = 0$$\n4. \u5c06\u8be5\u4e8c\u6b21\u65b9\u7a0b\u56e0\u5f0f\u5206\u89e3\uff1a\n   $$(t - 3)(t - 8) = 0 \\implies t = 3 \\text{ \u6216 } t = 8$$\n\n\u6700\u7ec8\u7b54\u6848\uff1a\n$x^2 + y^2 = 73$\uff1b\u65e0\u5e8f\u5bf9 $\\{x, y\\} = \\{3, 8\\}$\u3002\n\n\u9a8c\u8bc1\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\u7ec4\u603b\u7ed3\uff1a<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u4f7f\u7528\u4e86\u5bf9\u79f0\u5355\u4f4d\u77ed\u8def\u6cd5\uff0c\u4ece\u4e8c\u6b21\u5f0f\u4e2d\u6c42\u5f973\u548c8\uff0c\u5e76\u9a8c\u8bc1\u4e86\u548c\u3001\u79ef\u4ee5\u53ca\u76ee\u6807\u503c\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6d4b\u8bd5 2\uff1a\u51e0\u4f55\u5e94\u7528\u9898<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u51e0\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\">\u6d4b\u8bd5 2\uff1a\u51e0\u4f55\u5e94\u7528\u9898<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u51e0\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c2\u9898\u2014\u2014\u51e0\u4f55\/\u5e94\u7528\u9898\uff1a\u4e00\u4e2a\u77e9\u5f62\u7684\u5468\u957f\u4e3a34\u5398\u7c73\uff0c\u5bf9\u89d2\u7ebf\u957f\u4e3a13\u5398\u7c73\u3002\u6c42\u5176\u4e24\u8fb9\u957f\u548c\u9762\u79ef\u3002\u8bf4\u660e\u4e3a\u4f55\u80fd\u786e\u5b9a\u8fd9\u4e9b\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u8fb9\u957f\u5206\u522b\u4e3a5\u5398\u7c73\u548c12\u5398\u7c73\uff1b\u9762\u79ef\u4e3a60\u5e73\u65b9\u5398\u7c73\u3002\u5fc5\u987b\u5c06\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u7684\u6761\u4ef6\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u89e3\u91ca\u5728\u8fb9\u957f\u987a\u5e8f\u4e0d\u53d8\u7684\u60c5\u51b5\u4e0b\u8be5\u89e3\u7684\u552f\u4e00\u6027\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u5747\u6ee1\u8db3 a+b=17 \u548c a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u6c42\u5f97 5 \u548c 12\uff0c\u5e76\u9a8c\u8bc1\u4e86\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f632.85\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n\n\u8bbe\u6b63\u8fb9\u957f\u5206\u522b\u4e3a \\(a\\) \u548c \\(b\\)\u3002\n\n\u5468\u957f\u4e3a \\(34\\) \u5398\u7c73\uff1a\n\\[\n2(a+b)=34,\n\\]\n\u56e0\u6b64\n\\[\na+b=17.\n\\]\n\n\u5bf9\u89d2\u7ebf\u957f\u4e3a \\(13\\) \u5398\u7c73\uff0c\u6839\u636e\u52fe\u80a1\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\u4e24\u8fb9\u957f\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\u4e24\u8fb9\u957f\u5ea6\u5206\u522b\u4e3a \\(5\\) \u5398\u7c73\u548c \\(12\\) \u5398\u7c73\u3002\u9762\u79ef\u4e3a\n\\[\nA=ab=60\\text{ \u5398\u7c73}^2.\n\\]\n\n\u7531\u4e8e\u5176\u548c\u4e0e\u79ef\u662f\u56fa\u5b9a\u7684\uff0c\u56e0\u6b64\u8fb9\u957f\u5df2\u786e\u5b9a\u3002\u8be5\u4e8c\u6b21\u65b9\u7a0b\u6070\u6709\u4e24\u4e2a\u6b63\u6839 \\(5\\) \u548c \\(12\\)\uff0c\u5b83\u4eec\u6240\u6784\u6210\u7684\u77e9\u5f62\u5728\u957f\u5bbd\u4e92\u6362\u540e\u662f\u76f8\u540c\u7684\u3002\n\n### \u6700\u7ec8\u7b54\u6848\n\n\\[\n\\boxed{\\text{\u8fb9\u957f\uff1a}5\\text{ \u5398\u7c73\u548c }12\\text{ \u5398\u7c73}}\n\\]\n\\[\n\\boxed{\\text{\u9762\u79ef\uff1a}60\\text{ \u5398\u7c73}^2}\n\\]\n\n### \u9a8c\u8bc1\n\n\u5468\u957f\uff1a\n\\[\n2(5+12)=2(17)=34\\text{ \u5398\u7c73}.\n\\]\n\n\u5bf9\u89d2\u7ebf\uff1a\n\\[\n\\sqrt{5^2+12^2}=\\sqrt{25+144}=\\sqrt{169}=13\\text{ cm}.\n\\]\n\n\u9762\u79ef\uff1a\n\\[\n5\\cdot 12=60\\text{ cm}^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\">\u6d4b\u8bd5 2\uff1a\u51e0\u4f55\u5e94\u7528\u9898<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u51e0\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c2\u9898\u2014\u2014\u51e0\u4f55\/\u5e94\u7528\u9898\uff1a\u4e00\u4e2a\u77e9\u5f62\u7684\u5468\u957f\u4e3a34\u5398\u7c73\uff0c\u5bf9\u89d2\u7ebf\u957f\u4e3a13\u5398\u7c73\u3002\u6c42\u5176\u4e24\u8fb9\u957f\u548c\u9762\u79ef\u3002\u8bf4\u660e\u4e3a\u4f55\u80fd\u786e\u5b9a\u8fd9\u4e9b\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u8fb9\u957f\u5206\u522b\u4e3a5\u5398\u7c73\u548c12\u5398\u7c73\uff1b\u9762\u79ef\u4e3a60\u5e73\u65b9\u5398\u7c73\u3002\u5fc5\u987b\u5c06\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u7684\u6761\u4ef6\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u89e3\u91ca\u5728\u8fb9\u957f\u987a\u5e8f\u4e0d\u53d8\u7684\u60c5\u51b5\u4e0b\u8be5\u89e3\u7684\u552f\u4e00\u6027\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u5747\u6ee1\u8db3 a+b=17 \u548c a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u6c42\u5f97 5 \u548c 12\uff0c\u5e76\u9a8c\u8bc1\u4e86\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u8017\u65f617.89\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n- \u8bbe\u4e24\u8fb9\u5206\u522b\u4e3a a\u3001b\uff0c\u4e14 a, b &gt; 0\u3002\u5468\u957f\uff1a2(a+b) = 34 \ufffd?? a + b = 17\u3002\n- \u5bf9\u89d2\u7ebf\uff08\u6bd5\u8fbe\u54e5\u62c9\u65af\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 \u2261 17t + 60 = 0 \u7684\u6839\uff0c\u5373 (t \u2261 5)(t \u2261 12)\u3002\n\n\u6700\u7ec8\u7b54\u6848\n\u4e24\u8fb9\u957f\u5206\u522b\u4e3a 5 cm \u548c 12 cm\uff1b\u9762\u79ef\u4e3a 60 cm\u00b2\u3002\n\n\u9a8c\u8bc1\n2(5+12) = 34\uff0c5\u00b2 + 12\u00b2 = 25 + 144 = 169 = 13\u00b2\uff0c\u9762\u79ef = 60\u3002\n\u786e\u5b9a\u539f\u56e0\uff1a\u4e24\u4e2a\u6761\u4ef6\u786e\u5b9a\u4e86\u8fb9\u957f\u7684\u548c\u4e0e\u79ef\uff0c\u800c\u4e00\u5143\u4e8c\u6b21\u5f0f\u7531\u5176\u6839\u7684\u548c\u4e0e\u79ef\u552f\u4e00\u786e\u5b9a\u3002 \u5224\u522b\u5f0f 289 \uff0d 240 = 49 &gt; 0 \u8868\u660e\u6709\u4e24\u4e2a\u6b63\u6839\uff0c\u8fd9\u4e24\u4e2a\u6839\u5728\u91cd\u65b0\u6807\u8bb0 a \u548c b \u540e\u4ecd\u4e3a\u540c\u4e00\u77e9\u5f62\uff0c\u56e0\u6b64\u5176\u5c3a\u5bf8\u4f5c\u4e3a\u65e0\u5e8f\u5bf9\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\">\u6d4b\u8bd5 2\uff1a\u51e0\u4f55\u5e94\u7528\u9898<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u51e0\u4f55 \u00b7 \u65b9\u7a0b\u7684\u5efa\u7acb \u00b7 \u552f\u4e00\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c2\u9898\u2014\u2014\u51e0\u4f55\/\u5e94\u7528\u9898\uff1a\u4e00\u4e2a\u77e9\u5f62\u7684\u5468\u957f\u4e3a34\u5398\u7c73\uff0c\u5bf9\u89d2\u7ebf\u957f\u4e3a13\u5398\u7c73\u3002\u6c42\u5176\u4e24\u8fb9\u957f\u548c\u9762\u79ef\u3002\u8bf4\u660e\u4e3a\u4f55\u80fd\u786e\u5b9a\u8fd9\u4e9b\u5c3a\u5bf8\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u8fb9\u957f\u5206\u522b\u4e3a5\u5398\u7c73\u548c12\u5398\u7c73\uff1b\u9762\u79ef\u4e3a60\u5e73\u65b9\u5398\u7c73\u3002\u5fc5\u987b\u5c06\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u7684\u6761\u4ef6\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u89e3\u91ca\u5728\u8fb9\u957f\u987a\u5e8f\u4e0d\u53d8\u7684\u60c5\u51b5\u4e0b\u8be5\u89e3\u7684\u552f\u4e00\u6027\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u5747\u6ee1\u8db3 a+b=17 \u548c a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u6c42\u5f97 5 \u548c 12\uff0c\u5e76\u9a8c\u8bc1\u4e86\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u8fd9\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f617.45\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\uff1a\n1. \u8bbe\u4e24\u8fb9\u957f\u5206\u522b\u4e3a $a &gt; 0$ \u548c $b &gt; 0$\u3002\n2. \u5468\u957f\u516c\u5f0f\u4e3a $\u00b2(a + b) = 34\uff0c\u7531\u6b64\u53ef\u5f97 a + b = 17$\u3002\n3. \u6839\u636e\u52fe\u80a1\u5b9a\u7406\uff0c\u5bf9\u89d2\u7ebf\u7684\u5e73\u65b9\u548c\u4e3a $a\u00b2 + b\u00b2 = 13\u00b2 = 169$\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\u79ef\u4e3a $A = ab = 60\\text{ cm}^2$\u3002\n6. \u8fb9\u957f $a$ \u548c $b$ \u662f\u65b9\u7a0b $t^2 - 17t + 60 = 0$ \u7684\u6b63\u5b9e\u6570\u6839\uff1a\n   $$(t - 5)(t - 12) = 0 \\implies t = 5 \\text{ \u6216 } t = 12$$\n7. **\u4e3a\u4f55\u80fd\u786e\u5b9a\u5c3a\u5bf8\uff1a** \u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u552f\u4e00\u5730\u786e\u5b9a\u4e86\u6b63\u8fb9\u957f\u4e4b\u548c $(a+b = 17)$ \u4ee5\u53ca\u6b63\u8fb9\u957f\u4e4b\u79ef $(ab = 60)$\u3002 \u4e00\u4e2a\u6307\u5b9a\u4e24\u4e2a\u6570\u4e4b\u548c\u4e0e\u4e4b\u79ef\u7684\u7cfb\u7edf\uff0c\u80fd\u552f\u4e00\u5730\u786e\u5b9a\u4e00\u4e2a\u4e8c\u6b21\u591a\u9879\u5f0f\u7684\u6839\u96c6\uff0c\u4ece\u800c\u7ed9\u51fa\u4e00\u5bf9\u552f\u4e00\uff08\u4e0d\u8003\u8651\u987a\u5e8f\uff09\u7684\u8fb9\u957f\u3002\n\n\u6700\u7ec8\u7b54\u6848\uff1a\n\u8fb9\u957f\uff1a$5\\text{ cm}$ \u548c $12\\text{ cm}$\uff1b\u9762\u79ef\uff1a$60\\text{ cm}^2$\u3002 \u8fd9\u4e9b\u5c3a\u5bf8\u662f\u786e\u5b9a\u7684\uff0c\u56e0\u4e3a\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u552f\u4e00\u5730\u786e\u5b9a\u4e86\u76f8\u90bb\u8fb9\u957f\u7684\u548c\u4e0e\u79ef\uff0c\u4ece\u800c\u5f97\u5230\u552f\u4e00\u7684\u4e00\u7ec4\u6b63\u4e8c\u6b21\u65b9\u7a0b\u89e3\u3002\n\n\u9a8c\u8bc1\uff1a\n\u5468\u957f\uff1a$2(5 + 12) = 34\\text{ cm}$\u3002 \u5bf9\u89d2\u7ebf\uff1a$\\sqrt{5^2 + 12^2} = \\sqrt{25 + 144} = \\sqrt{169} = 13\\text{ cm}$\u3002 \u9762\u79ef\uff1a$5 \u00d7 12 = 60\\text{ cm}^2$\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7ec4\u603b\u7ed3\uff1a<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u5747\u6ee1\u8db3 a+b=17 \u548c a\u00b2+b\u00b2=169\uff0c\u7531\u6b64\u63a8\u5f97 ab=60\uff0c\u6c42\u5f97 5 \u548c 12\uff0c\u5e76\u9a8c\u8bc1\u4e86\u5468\u957f\u548c\u5bf9\u89d2\u7ebf\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6d4b\u8bd5 3\uff1a\u591a\u6b65\u9aa4\u767e\u5206\u6bd4\u63a8\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u7b97\u672f \u00b7 \u8fde\u7eed\u767e\u5206\u6bd4 \u00b7 \u9a8c\u8bc1<\/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\">\u6d4b\u8bd5 3\uff1a\u591a\u6b65\u9aa4\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u7b97\u672f \u00b7 \u8fde\u7eed\u767e\u5206\u6bd4 \u00b7 \u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c3\u9898\u2014\u2014\u591a\u6b65\u9aa4\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c06\u67d0\u5546\u54c1\u7684\u4ef7\u683c\u5728\u8fdb\u8d27\u6210\u672c\u57fa\u7840\u4e0a\u52a0\u4ef725%\uff0c\u7136\u540e\u5728\u6807\u4ef7\u57fa\u7840\u4e0a\u625380%\u7684\u6298\u6263\u3002 \u987e\u5ba2\u5728\u7a0e\u524d\u652f\u4ed8\u4e86$120\u3002\u6c42\u539f\u8fdb\u8d27\u4ef7\u4ee5\u53ca\u4ece\u8fdb\u8d27\u4ef7\u5230\u5b9e\u9645\u652f\u4ed8\u4ef7\u7684\u51c0\u767e\u5206\u6bd4\u53d8\u5316\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u4e3a $120\uff1b\u51c0\u53d8\u52a8\u4e3a 0%\u3002\u5fc5\u987b\u5c06 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u4e0d\u662f\u51cf\u53bb\u767e\u5206\u70b9\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u90fd\u6b63\u786e\u8bc6\u522b\u51fa\u987a\u5e8f\u4e58\u6cd5\u5668\u4f1a\u76f8\u4e92\u62b5\u6d88\uff0c\u5e76\u9a8c\u8bc1\u4e86 $120 \u2192 $150 \u2192 $120 \u8fd9\u4e00\u8def\u5f84\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f632.85\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n\n\u8bbe\u539f\u4ef7\u4e3a \\(C\\)\u3002\n\n\\(25\\%\\) \u7684\u52a0\u4ef7\u7387\u610f\u5473\u7740\u539f\u4ef7\u4e58\u4ee5\n\\[\n1+0.25=1.25.\n\\]\n\n\u56e0\u6b64\uff0c\u6807\u4ef7\u4e3a\n\\[\n1.25C.\n\\]\n\n\\(20\\%\\)\u7684\u6298\u6263\u610f\u5473\u7740\u987e\u5ba2\u53ea\u9700\u652f\u4ed8\u6807\u4ef7\u7684 \\(80\\%\\)\uff1a\n\\[\n0.80(1.25C)=120.\n\\]\n\n\u7531\u4e8e\n\\[\n0.80\\cdot 1.25=1,\n\\]\n\u56e0\u6b64\u8be5\u65b9\u7a0b\u53d8\u4e3a\n\\[\nC=120.\n\\]\n\n\u5b9e\u9645\u652f\u4ed8\u7684\u4ef7\u683c\u7b49\u4e8e\u539f\u4ef7\uff0c\u56e0\u6b64\u51c0\u767e\u5206\u6bd4\u53d8\u5316\u4e3a\n\\[\n\\frac{120-120}{120}\\cdot 100\\%=0\\%.\n\\]\n\n### \u6700\u7ec8\u7b54\u6848\n\n\\[\n\\boxed{\\text{\u539f\u4ef7}=\\$120}\n\\]\n\\[\n\\boxed{\\text{\u51c0\u767e\u5206\u6bd4\u53d8\u5316}=0\\%}\n\\]\n\n### \u9a8c\u8bc1\n\n\u5bf9 \\(\\$120\\) \u52a0\u4ef7 \\(25\\%\\) \u540e\uff0c\u5f97\n\\[\n120(1.25)=\\$150.\n\\]\n\n\u5bf9 \\(\\$150\\) \u8fdb\u884c \\(20\\%\\) \u7684\u6298\u6263\u540e\uff0c\u5f97\n\\[\n150(0.80)=\\$120.\n\\]\n\n\u56e0\u6b64\uff0c\u5b9e\u9645\u652f\u4ed8\u7684\u4ef7\u683c\u6070\u597d\u7b49\u4e8e\u539f\u4ef7\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\">\u6d4b\u8bd5 3\uff1a\u591a\u6b65\u9aa4\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u7b97\u672f \u00b7 \u8fde\u7eed\u767e\u5206\u6bd4 \u00b7 \u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c3\u9898\u2014\u2014\u591a\u6b65\u9aa4\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c06\u67d0\u5546\u54c1\u7684\u4ef7\u683c\u5728\u8fdb\u8d27\u6210\u672c\u57fa\u7840\u4e0a\u52a0\u4ef725%\uff0c\u7136\u540e\u5728\u6807\u4ef7\u57fa\u7840\u4e0a\u625380%\u7684\u6298\u6263\u3002 \u987e\u5ba2\u5728\u7a0e\u524d\u652f\u4ed8\u4e86$120\u3002\u6c42\u539f\u8fdb\u8d27\u4ef7\u4ee5\u53ca\u4ece\u8fdb\u8d27\u4ef7\u5230\u5b9e\u9645\u652f\u4ed8\u4ef7\u7684\u51c0\u767e\u5206\u6bd4\u53d8\u5316\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u4e3a $120\uff1b\u51c0\u53d8\u52a8\u4e3a 0%\u3002\u5fc5\u987b\u5c06 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u4e0d\u662f\u51cf\u53bb\u767e\u5206\u70b9\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u90fd\u6b63\u786e\u8bc6\u522b\u51fa\u987a\u5e8f\u4e58\u6cd5\u5668\u4f1a\u76f8\u4e92\u62b5\u6d88\uff0c\u5e76\u9a8c\u8bc1\u4e86 $120 \u2192 $150 \u2192 $120 \u8fd9\u4e00\u8def\u5f84\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u8017\u65f617.89\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n- \u8bbe\u6210\u672c\u4e3a C\u3002\u6807\u4ef7\u4e3a 1.25C\u3002\n- \u552e\u4ef7 = 0.80 \u00d7 1.25C = 1.00C\u3002\n- \u5b9e\u9645\u652f\u4ed8\u4ef7\u683c = 120 \u00d7 C = 120\u3002\n- \u51c0\u53d8\u52a8 = (120 - 120)\/120 = 0.\n\n\u6700\u7ec8\u7b54\u6848\n\u539f\u59cb\u6210\u672c = $120\uff1b\u4ece\u6210\u672c\u5230\u5b9e\u9645\u652f\u4ed8\u4ef7\u683c\u7684\u51c0\u53d8\u52a8 = 0%\uff08\u65e0\u53d8\u52a8\uff09\u3002\n\n\u9a8c\u8bc1\n120 \u52a0\u4ef7 25% \u2192 150 \u2192 \u51cf\u53bb 20% \u2192 150 \u2192 30 = 120\u3002 \u6ce8\u610f\u8fd9\u4e9b\u500d\u6570\uff1a1.25 \u00d7 0.80 = 1\uff0c\u6b63\u597d\u76f8\u7b49\uff0c\u56e0\u6b64\u65e0\u8bba\u6210\u672c\u662f\u591a\u5c11\uff0c\u52a0\u4ef7\u548c\u6298\u6263\u90fd\u4f1a\u76f8\u4e92\u62b5\u6d88\u3002\uff08\u5982\u9898\u6240\u8ff0\uff0c\u7ed3\u679c\u4e3a\u7a0e\u524d\u91d1\u989d\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\">\u6d4b\u8bd5 3\uff1a\u591a\u6b65\u9aa4\u767e\u5206\u6bd4\u63a8\u7406<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u7b97\u672f \u00b7 \u8fde\u7eed\u767e\u5206\u6bd4 \u00b7 \u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c3\u9898\u2014\u2014\u591a\u6b65\u9aa4\u63a8\u7406\uff1a\u67d0\u5546\u5e97\u5c06\u67d0\u5546\u54c1\u7684\u4ef7\u683c\u5728\u8fdb\u8d27\u6210\u672c\u57fa\u7840\u4e0a\u52a0\u4ef725%\uff0c\u7136\u540e\u5728\u6807\u4ef7\u57fa\u7840\u4e0a\u625380%\u7684\u6298\u6263\u3002 \u987e\u5ba2\u5728\u7a0e\u524d\u652f\u4ed8\u4e86$120\u3002\u6c42\u539f\u8fdb\u8d27\u4ef7\u4ee5\u53ca\u4ece\u8fdb\u8d27\u4ef7\u5230\u5b9e\u9645\u652f\u4ed8\u4ef7\u7684\u51c0\u767e\u5206\u6bd4\u53d8\u5316\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u539f\u59cb\u6210\u672c\u4e3a $120\uff1b\u51c0\u53d8\u52a8\u4e3a 0%\u3002\u5fc5\u987b\u5c06 1.25 \u4e58\u4ee5 0.80\uff0c\u800c\u4e0d\u662f\u51cf\u53bb\u767e\u5206\u70b9\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u90fd\u6b63\u786e\u8bc6\u522b\u51fa\u987a\u5e8f\u4e58\u6cd5\u5668\u4f1a\u76f8\u4e92\u62b5\u6d88\uff0c\u5e76\u9a8c\u8bc1\u4e86 $120 \u2192 $150 \u2192 $120 \u8fd9\u4e00\u8def\u5f84\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u8fd9\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f617.45\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\uff1a\n1. \u8bbe $C &gt; 0$ \u4e3a\u539f\u59cb\u6210\u672c\uff08\u5355\u4f4d\uff1a\u7f8e\u5143\uff09\u3002\n2. 25%\u7684\u52a0\u4ef7\uff1a\u6807\u4ef7 $M = C \u00d7 (1 + 0.25) = 1.25C$\u3002\n3. 20%\u5bf9\u6807\u4ef7\u7684\u6298\u6263\uff1a\u5b9e\u9645\u652f\u4ed8\u4ef7\u683c $P = M \u00d7 (1 - 0.20) = 1.25C \u00d7 0.80 = 1.00C$\u3002\n4. \u8bbe $P = \\$120$\uff1a\n   $$1.00C = 120 \\implies C = \\$120$$\n5. \u4ece\u6210\u672c\u5230\u652f\u4ed8\u4ef7\u683c\u7684\u51c0\u767e\u5206\u6bd4\u53d8\u5316\uff1a\n   $$\\text{\u51c0\u53d8\u5316 \\%} = \\frac{P - C}{C} \\times 100\\% = \\frac{120 - 120}{120} \\times 100\\% = 0\\%$$\n\n\u6700\u7ec8\u7b54\u6848\uff1a\n\u539f\u4ef7\uff1a$\\$120$\uff1b \u51c0\u767e\u5206\u6bd4\u53d8\u5316\uff1a$0\\%$\u3002\n\n\u9a8c\u8bc1\uff1a\n\u52a0\u4ef7\u989d\uff1a$\\$120 \\times 1.25 = \\$150$\u3002 \u6298\u6263\uff1a$\\$150 \u00d7 0.80 = \\$120$\u3002 \u5b9e\u9645\u652f\u4ed8\u4ef7\u683c\u4e3a $\\$120$\uff0c\u6210\u672c\u7b49\u4e8e\u5b9e\u9645\u652f\u4ed8\u4ef7\u683c\uff08$0\\%$ \u51c0\u53d8\u52a8\uff09\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7ec4\u603b\u7ed3\uff1a<\/strong> \u8fd9\u4e09\u79cd\u6a21\u578b\u90fd\u6b63\u786e\u8bc6\u522b\u51fa\u987a\u5e8f\u4e58\u6cd5\u5668\u4f1a\u76f8\u4e92\u62b5\u6d88\uff0c\u5e76\u9a8c\u8bc1\u4e86 $120 \u2192 $150 \u2192 $120 \u8fd9\u4e00\u8def\u5f84\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6d4b\u8bd5 4\uff1a\u591a\u4f59\u6839\u9a8c\u8bc1\u9677\u9631<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u6761\u4ef6 \u00b7 \u5019\u9009\u9879\u68c0\u67e5 \u00b7 \u903b\u8f91\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\">\u6d4b\u8bd5 4\uff1a\u591a\u4f59\u6839\u9a8c\u8bc1\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u6761\u4ef6 \u00b7 \u5019\u9009\u9879\u68c0\u67e5 \u00b7 \u903b\u8f91\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c4\u9898\u2014\u2014\u9a8c\u8bc1\u9677\u9631\uff1a\u5728\u5b9e\u6570\u96c6\u4e0a\u6c42\u89e3\u65b9\u7a0b \u221a(x + 6) = x\u3002\u68c0\u67e5\u539f\u65b9\u7a0b\u4e2d\u7684\u6bcf\u4e2a\u5019\u9009\u89e3\uff0c\u5e76\u89e3\u91ca\u4e3a\u4f55\u88ab\u6392\u9664\u7684\u5019\u9009\u89e3\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u4ec5\u5f53 x=3 \u65f6\u6210\u7acb\u3002\u5fc5\u987b\u786e\u5b9a x\u22650\uff0c\u5728\u539f\u65b9\u7a0b\u4e2d\u6d4b\u8bd5 x=3 \u548c x=\u22122\uff0c\u5e76\u6392\u9664 \u22122 \u4f5c\u4e3a\u591a\u4f59\u89e3\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u7ed9\u51fa\u4e86\u975e\u8d1f\u7ea6\u675f\u6761\u4ef6\uff0c\u5bf9\u4e24\u4e2a\u5019\u9009\u503c\u8fdb\u884c\u4e86\u9a8c\u8bc1\uff0c\u5e76\u6392\u9664\u4e86\u539f\u65b9\u7a0b\u4e2d\u7684\u22122\u3002\u8fd9\u5370\u8bc1\u4e86\u53ef\u9760\u6027\u7ed3\u8bba\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f632.85\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n\n\u6c42\u89e3\n\\[\n\\sqrt{x+6}=x\n\\]\n\uff08\u5728\u5b9e\u6570\u57df\u4e0a\uff09\u3002\n\n\u7531\u4e8e\u5e73\u65b9\u6839\u662f\u975e\u8d1f\u7684\uff0c\u56e0\u6b64\u53f3\u8fb9\u5fc5\u987b\u6ee1\u8db3\n\\[\nx\\ge 0.\n\\]\n\u6b64\u5916\uff0c\u88ab\u5f00\u5f0f\u8981\u6c42 \\(x+6\\ge 0\\)\uff0c\u5f53 \\(x\\ge 0\\) \u65f6\uff0c\u8be5\u6761\u4ef6\u81ea\u52a8\u6210\u7acb\u3002\n\n\u4e24\u8fb9\u5e73\u65b9\uff1a\n\\[\nx+6=x^2.\n\\]\n\n\u6574\u7406\u5f97\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\u9009\u503c\u662f\n\\[\nx=3\\quad\\text{\u6216}\\quad x=-2.\n\\]\n\n\u7531\u4e8e\u5e73\u65b9\u8fd0\u7b97\u53ef\u80fd\u5f15\u5165\u591a\u4f59\u89e3\uff0c\u56e0\u6b64\u5fc5\u987b\u5c06\u8fd9\u4e24\u4e2a\u89e3\u4ee3\u5165\u539f\u65b9\u7a0b\u8fdb\u884c\u9a8c\u8bc1\u3002\n\n\u5f53 \\(x=3\\) \u65f6\uff1a\n\\[\n\\sqrt{3+6}=\\sqrt{9}=3,\n\\]\n\u56e0\u6b64 \\(x=3\\) \u662f\u6709\u6548\u7684\u3002\n\n\u5bf9\u4e8e \\(x=-2\\)\uff1a\n\\[\n\\sqrt{-2+6}=\\sqrt{4}=2\\ne -2,\n\\]\n\u56e0\u6b64 \\(x=-2\\) \u65e0\u6548\u3002\u5176\u65e0\u6548\u7684\u539f\u56e0\u5728\u4e8e\uff1a\u4e3b\u6839\u59cb\u7ec8\u662f\u975e\u8d1f\u6570\uff0c\u800c\u6240\u63d0\u51fa\u7684\u53f3\u8fb9\u7ed3\u679c\u4e3a\u8d1f\u6570\u3002\n\n### \u6700\u7ec8\u7b54\u6848\n\n\\[\n\\boxed{x=3}\n\\]\n\n### \u9a8c\u8bc1\n\n\u4ee3\u5165\u539f\u65b9\u7a0b\u5f97\n\\[\n\\sqrt{3+6}=3,\n\\]\n\\[\n3=3.\n\\]\n\n\u88ab\u6392\u9664\u7684\u5019\u9009\u503c \\(x=-2\\) \u4f1a\u5f97\u5230 \\(2=-2\\)\uff0c\u8fd9\u662f\u9519\u8bef\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\">\u6d4b\u8bd5 4\uff1a\u591a\u4f59\u6839\u9a8c\u8bc1\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u6761\u4ef6 \u00b7 \u5019\u9009\u9879\u68c0\u67e5 \u00b7 \u903b\u8f91\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c4\u9898\u2014\u2014\u9a8c\u8bc1\u9677\u9631\uff1a\u5728\u5b9e\u6570\u96c6\u4e0a\u6c42\u89e3\u65b9\u7a0b \u221a(x + 6) = x\u3002\u68c0\u67e5\u539f\u65b9\u7a0b\u4e2d\u7684\u6bcf\u4e2a\u5019\u9009\u89e3\uff0c\u5e76\u89e3\u91ca\u4e3a\u4f55\u88ab\u6392\u9664\u7684\u5019\u9009\u89e3\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u4ec5\u5f53 x=3 \u65f6\u6210\u7acb\u3002\u5fc5\u987b\u786e\u5b9a x\u22650\uff0c\u5728\u539f\u65b9\u7a0b\u4e2d\u6d4b\u8bd5 x=3 \u548c x=\u22122\uff0c\u5e76\u6392\u9664 \u22122 \u4f5c\u4e3a\u591a\u4f59\u89e3\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u7ed9\u51fa\u4e86\u975e\u8d1f\u7ea6\u675f\u6761\u4ef6\uff0c\u5bf9\u4e24\u4e2a\u5019\u9009\u503c\u8fdb\u884c\u4e86\u9a8c\u8bc1\uff0c\u5e76\u6392\u9664\u4e86\u539f\u65b9\u7a0b\u4e2d\u7684\u22122\u3002\u8fd9\u5370\u8bc1\u4e86\u53ef\u9760\u6027\u7ed3\u8bba\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u8017\u65f617.89\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n- \u5b9a\u4e49\u57df\/\u6761\u4ef6\uff1a\u9700\u6ee1\u8db3 x + 6 \u2265 0\uff08x \u2265 6\uff09\uff0c\u4e14\u7531\u4e8e\u4e3b\u5e73\u65b9\u6839\u4e3a\u975e\u8d1f\u6570\uff0c\u6545 x \u2265 0\u3002\n- \u4e24\u8fb9\u5e73\u65b9\uff1ax + 6 = x\u00b2 \u00d7 x\u00b2 \u00d7 x \u00d7 6 = 0 \u00d7 (x \u00d7 3)(x + 2) = 0 \u00d7 x = 3 \u6216 x = \u221a2\u3002\n- \u4ee3\u5165\u539f\u65b9\u7a0b\u9a8c\u8bc1\uff1ax = 3 \u2260 9 = 3 \u2260\u3002x = \u221a2 \u2260 4 = 2 \u2260 \u221a2 \u2260\u3002\n\n\u6700\u7ec8\u7b54\u6848\nx = 3\u3002\n\n\u9a8c\u8bc1\n(3 + 6) = 9 = 3 = x\u3002\n\u4e3a\u4ec0\u4e48 \u221a2 \u4e0d\u6210\u7acb\uff1a\u5e73\u65b9\u8fd0\u7b97\u4e0d\u53ef\u9006\uff0c \u8fd9\u4f1a\u5c06 \u221a(x+6) = x \u8f6c\u5316\u4e3a\u4e00\u4e2a\u65b9\u7a0b\uff0c\u8be5\u65b9\u7a0b\u4e5f\u6ee1\u8db3 \u221a(x+6) = \u221ax\u3002x = \u221a2 \u867d\u6ee1\u8db3\u7b2c\u4e8c\u4e2a\u5206\u652f\uff0c\u4f46\u8fdd\u53cd\u4e86 x \u2260 0 \u7684\u6761\u4ef6\uff0c\u56e0\u4e3a\u4e3b\u6839\u4e0d\u80fd\u4e3a\u8d1f\u6570\u3002 \u8fd9\u662f\u5e73\u65b9\u8fd0\u7b97\u5f15\u5165\u7684\u5197\u4f59\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\">\u6d4b\u8bd5 4\uff1a\u591a\u4f59\u6839\u9a8c\u8bc1\u9677\u9631<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u6761\u4ef6 \u00b7 \u5019\u9009\u9879\u68c0\u67e5 \u00b7 \u903b\u8f91\u6709\u6548\u6027<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c4\u9898\u2014\u2014\u9a8c\u8bc1\u9677\u9631\uff1a\u5728\u5b9e\u6570\u96c6\u4e0a\u6c42\u89e3\u65b9\u7a0b \u221a(x + 6) = x\u3002\u68c0\u67e5\u539f\u65b9\u7a0b\u4e2d\u7684\u6bcf\u4e2a\u5019\u9009\u89e3\uff0c\u5e76\u89e3\u91ca\u4e3a\u4f55\u88ab\u6392\u9664\u7684\u5019\u9009\u89e3\u4e0d\u6210\u7acb\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">\u4ec5\u5f53 x=3 \u65f6\u6210\u7acb\u3002\u5fc5\u987b\u786e\u5b9a x\u22650\uff0c\u5728\u539f\u65b9\u7a0b\u4e2d\u6d4b\u8bd5 x=3 \u548c x=\u22122\uff0c\u5e76\u6392\u9664 \u22122 \u4f5c\u4e3a\u591a\u4f59\u89e3\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u7ed9\u51fa\u4e86\u975e\u8d1f\u7ea6\u675f\u6761\u4ef6\uff0c\u5bf9\u4e24\u4e2a\u5019\u9009\u503c\u8fdb\u884c\u4e86\u9a8c\u8bc1\uff0c\u5e76\u6392\u9664\u4e86\u539f\u65b9\u7a0b\u4e2d\u7684\u22122\u3002\u8fd9\u5370\u8bc1\u4e86\u53ef\u9760\u6027\u7ed3\u8bba\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u8fd9\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f617.45\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\uff1a\n1. \u65b9\u7a0b\uff1a$\\sqrt{x + 6} = x$\u3002\n2. \u5b9a\u4e49\u57df\/\u6761\u4ef6\u9650\u5236\uff1a\n   - \u88ab\u5f00\u65b9\u6570\u975e\u8d1f\uff1a$x + 6 \\ge 0 \\implies x \\ge -6$\u3002\n   - \u88ab\u5f00\u65b9\u6570\u975e\u8d1f\uff1a$\\sqrt{x + 6} \\ge 0 \\implies x \\ge 0$\u3002\n   - \u7efc\u5408\u5b9a\u4e49\u57df\u9650\u5236\uff1a$x \\ge 0$\u3002\n3. \u4e24\u8fb9\u5e73\u65b9\uff1a\n   $$x + 6 = x^2 \\implies x^2 - x - 6 = 0$$\n4. \u56e0\u5f0f\u5206\u89e3\uff1a\n   $$(x - 3)(x + 2) = 0 \\implies \\text{\u89e3\u7684\u5019\u9009\u503c\uff1a} x = 3, x = -2$$\n5. \u5728\u539f\u65b9\u7a0b $\\sqrt{x + 6} = x$ \u4e2d\u9a8c\u8bc1\u5019\u9009\u503c\uff1a\n   - \u5f53 $x = 3$ \u65f6\uff1a$\\sqrt{3 + 6} = \\sqrt{9} = 3$\u3002\u6210\u7acb\uff08\u5de6\u8fb9 = \u53f3\u8fb9\uff09\u3002\n   - \u5bf9\u4e8e $x = -2$\uff1a$\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2$\u3002\u88ab\u6392\u9664\u3002\n6. **\u62d2\u7edd\u7406\u7531\uff1a** \u4e3b\u8981\u5b9e\u6570\u5e73\u65b9\u6839\u51fd\u6570 $\\sqrt{\\cdot}$ \u59cb\u7ec8\u8fd4\u56de\u975e\u8d1f\u5b9e\u6570\u503c\uff08$\\sqrt{4} = +2$\uff09\u3002 \u7531\u4e8e\u53f3\u8fb9\u4e3a $-2$\uff0c\u56e0\u6b64\u65b9\u7a0b $\u00b2 = -2$ \u4e0d\u6210\u7acb\u3002$x = -2$ \u662f\u5e73\u65b9\u8fd0\u7b97\u5f15\u5165\u7684\u5197\u4f59\u89e3\u3002\n\n\u6700\u7ec8\u7b54\u6848\uff1a\n$x = 3$\u3002\n\n\u9a8c\u8bc1\uff1a\n\u5f53 $x = 3$ \u65f6\uff0c\u5de6\u8fb9\u4e3a\uff1a$\\sqrt{3 + 6} = \\sqrt{9} = 3 = \\text{\u53f3\u8fb9}$\u3002\n\u5de6\u8fb9\u5728 $x = -2$ \u65f6\uff1a$\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2 = \\text{\u53f3\u8fb9}$\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7ec4\u603b\u7ed3\uff1a<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u7ed9\u51fa\u4e86\u975e\u8d1f\u7ea6\u675f\u6761\u4ef6\uff0c\u5bf9\u4e24\u4e2a\u5019\u9009\u503c\u8fdb\u884c\u4e86\u9a8c\u8bc1\uff0c\u5e76\u6392\u9664\u4e86\u539f\u65b9\u7a0b\u4e2d\u7684\u22122\u3002\u8fd9\u5370\u8bc1\u4e86\u53ef\u9760\u6027\u7ed3\u8bba\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c5\u6b21\u6d4b\u9a8c\uff1a\u5fae\u79ef\u5206\uff08\u542b\u6c42\u5bfc\u68c0\u67e5\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u5fae\u79ef\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a8c\u8bc1<\/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\">\u7b2c5\u6b21\u6d4b\u9a8c\uff1a\u5fae\u79ef\u5206\uff08\u542b\u6c42\u5bfc\u68c0\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> GPT-5.6 Sol \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u5fae\u79ef\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c5\u9898 \u2014 \u5fae\u79ef\u5206\uff1a\u6c42\u4e0d\u5b9a\u79ef\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u8bf4\u660e\u53d8\u6362\u5173\u7cfb\uff0c\u5e76\u901a\u8fc7\u6c42\u5bfc\u9a8c\u8bc1\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8bbe u = x\u00b2\u3002\u5fc5\u987b\u5c06\u7ed3\u679c\u6c42\u5bfc\uff0c\u5f97\u5230 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u5c06 u \u8bbe\u4e3a x\u00b2\uff0c\u5bf9 e^u \u8fdb\u884c\u79ef\u5206\uff0c\u5c06\u7ed3\u679c\u8fd8\u539f\u4e3a x\u00b2\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u53cd\u6c42\u4e3a\u539f\u88ab\u79ef\u51fd\u6570\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u4e2a\u95ee\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f632.85\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n\n\u6c42\n\\[\n\\int 2x e^{x^2}\\,dx.\n\\]\n\n\u4f7f\u7528 \\(u\\) \u6362\u5143\uff1a\n\\[\nu=x^2.\n\\]\n\n\u5219\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\u79ef\u5206\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\u8be5\u539f\u51fd\u6570\u5bf9\u6240\u6709\u5b9e\u6570 \\(x\\) \u5747\u6210\u7acb\u3002\n\n### \u6700\u7ec8\u7b54\u6848\n\n\\[\n\\boxed{\\int 2x e^{x^2}\\,dx=e^{x^2}+C}\n\\]\n\n### \u9a8c\u8bc1\n\n\u5229\u7528\u94fe\u5f0f\u6cd5\u5219\u5bf9\u7ed3\u679c\u6c42\u5bfc\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\u8fd9\u4e0e\u539f\u88ab\u79ef\u51fd\u6570\u4e00\u81f4\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\">\u7b2c5\u6b21\u6d4b\u9a8c\uff1a\u5fae\u79ef\u5206\uff08\u542b\u6c42\u5bfc\u68c0\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Claude Opus 5 \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u5fae\u79ef\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c5\u9898 \u2014 \u5fae\u79ef\u5206\uff1a\u6c42\u4e0d\u5b9a\u79ef\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u8bf4\u660e\u53d8\u6362\u5173\u7cfb\uff0c\u5e76\u901a\u8fc7\u6c42\u5bfc\u9a8c\u8bc1\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8bbe u = x\u00b2\u3002\u5fc5\u987b\u5c06\u7ed3\u679c\u6c42\u5bfc\uff0c\u5f97\u5230 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u5c06 u \u8bbe\u4e3a x\u00b2\uff0c\u5bf9 e^u \u8fdb\u884c\u79ef\u5206\uff0c\u5c06\u7ed3\u679c\u8fd8\u539f\u4e3a x\u00b2\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u53cd\u6c42\u4e3a\u539f\u88ab\u79ef\u51fd\u6570\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u5168\u90e8\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u8017\u65f617.89\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\n- \u53d8\u6362\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\u7ec8\u7b54\u6848\ne^(x\u00b2) + C\u3002\n\n\u9a8c\u8bc1\nd\/dx [e^(x\u00b2) + C] = e^(x\u00b2) \u00b7 d\/dx(x\u00b2) = 2x e^(x\u00b2) \ufffd??\uff08\u94fe\u5f0f\u6cd5\u5219\uff09\u3002\u5bf9\u6240\u6709\u5b9e\u6570 x \u5747\u6210\u7acb\uff1b\u88ab\u79ef\u51fd\u6570\u5728 \ufffd?\ufffd \u4e0a\u8fde\u7eed\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\">\u7b2c5\u6b21\u6d4b\u9a8c\uff1a\u5fae\u79ef\u5206\uff08\u542b\u6c42\u5bfc\u68c0\u67e5\uff09<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u578b\u53f7\uff1a<\/strong> Gemini 3.6 Flash \u00b7 <strong>\u8003\u8bd5\u65e5\u671f\uff1a<\/strong> 2026\u5e747\u670828\u65e5<\/div><\/div><span aria-label=\"\u7ed3\u679c\uff1a\u901a\u8fc7\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u901a\u8fc7 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u6570\u5b66\u80fd\u529b\uff1a<\/strong> \u5fae\u79ef\u5206 \u00b7 \u4ee3\u5165\u6cd5 \u00b7 \u53cd\u5411\u9a8c\u8bc1<\/p><h4 style=\"margin:16px 0 6px\">\u8f93\u5165<\/h4><p style=\"overflow-wrap:anywhere\">\u7b2c5\u9898 \u2014 \u5fae\u79ef\u5206\uff1a\u6c42\u4e0d\u5b9a\u79ef\u5206 \u222b 2x*e^(x^2) dx \u7684\u503c\u3002\u8bf4\u660e\u53d8\u6362\u5173\u7cfb\uff0c\u5e76\u901a\u8fc7\u6c42\u5bfc\u9a8c\u8bc1\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u53c2\u8003\u7b54\u6848 \/ \u8bc4\u5206\u6807\u51c6<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C\uff0c\u8bbe u = x\u00b2\u3002\u5fc5\u987b\u5c06\u7ed3\u679c\u6c42\u5bfc\uff0c\u5f97\u5230 2x\u00b7e^(x\u00b2)\u3002.<\/p><h4 style=\"margin:14px 0 6px\">\u6bd4\u8d5b\u7ed3\u679c\u548c\u6bd4\u5206<\/h4><p><strong>\u901a\u8fc7 \u00b7 20\/20<\/strong><\/p><ul><li>\u6b63\u786e\u6027\uff1a10\/10<\/li><li>\u6b65\u6cd5\u8d28\u91cf\uff1a4\/4\u7b80\u4f53\u4e2d\u6587\uff08\u5927\u9646\uff09<\/li><li>\u4ee5\u4e0b\u4e3a\u8bf4\u660e\uff1a3\/3<\/li><li>\u9a8c\u8bc1\/\u6761\u4ef6\uff1a3\/3<\/li><\/ul><p><strong>\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u5c06 u \u8bbe\u4e3a x\u00b2\uff0c\u5bf9 e^u \u8fdb\u884c\u79ef\u5206\uff0c\u5c06\u7ed3\u679c\u8fd8\u539f\u4e3a x\u00b2\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u53cd\u6c42\u4e3a\u539f\u88ab\u79ef\u51fd\u6570\u3002.<\/p><p><strong>\u54cd\u5e94\u65f6\u95f4\uff1a<\/strong> \u5b8c\u6210\u8fd9\u4e94\u9053\u9898\u7684\u8bf7\u6c42\u5171\u8017\u65f617.45\u79d2\u3002.<\/p><p style=\"margin:14px 0 7px\"><strong>\u5b9e\u9645\u6a21\u578b\u8f93\u51fa\uff1a<\/strong> \u8fd9\u662f\u8be5\u6d4b\u8bd5\u9898\u7684\u5b8c\u6574\u7b54\u6848\uff0c\u5e76\u975e\u7ecf\u8fc7\u7f16\u8f91\u7684\u8282\u9009\u3002.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u5207\u6362\u663e\u793a\u5b8c\u6574\u6a21\u578b\u8f93\u51fa\"><span class=\"output-show\">\u25b6 \u663e\u793a\u6a21\u578b\u7684\u5b8c\u6574\u8f93\u51fa\u7ed3\u679c<\/span><span class=\"output-hide\">\u2212 \u9690\u85cf\u6a21\u578b\u8f93\u51fa<\/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\u9aa4\uff1a\n1. \u5728\u5b9a\u4e49\u57df $x \u2208 (\u2212\u221e, \u221e)$ \u4e0a\u6c42 $\\int 2x e^{x^2} \\, dx$ \u7684\u503c\u3002\n2. \u6362\u5143\u540d\u79f0\uff1a$u$-\u6362\u5143\uff0c\u5176\u4e2d $u = x^2$\u3002\n3. \u8ba1\u7b97\u5fae\u5206\uff1a$du = 2x \\, dx$\u3002\n4. \u4ee3\u5165\u79ef\u5206\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\u7ec8\u7b54\u6848\uff1a\n$ e^{x^2} + C$  \uff08\u4ee3\u5165\uff1a$ u = x^2$\uff09\n\n\u9a8c\u8bc1\uff1a\n\u5229\u7528\u94fe\u5f0f\u6cd5\u5219\uff0c\u5bf9\u7ed3\u679c\u5173\u4e8e$ x$\u6c42\u5bfc\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\u8fd9\u6062\u590d\u4e86\u539f\u88ab\u79ef\u51fd\u6570\u3002.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u5c0f\u7ec4\u603b\u7ed3\uff1a<\/strong> \u8fd9\u4e09\u4e2a\u6a21\u578b\u5747\u5c06 u \u8bbe\u4e3a x\u00b2\uff0c\u5bf9 e^u \u8fdb\u884c\u79ef\u5206\uff0c\u5c06\u7ed3\u679c\u8fd8\u539f\u4e3a x\u00b2\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u53cd\u6c42\u4e3a\u539f\u88ab\u79ef\u51fd\u6570\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u5361\u7247\u8bf4\u660e\u4e86\uff0c\u5373\u4f7f\u6bcf\u4e2a\u6700\u7ec8\u7b54\u6848\u90fd\u662f\u6b63\u786e\u7684\uff0c\u65b9\u6cd5\u68c0\u67e5\u4f9d\u7136\u5f88\u91cd\u8981\u3002\u5173\u4e8e <a href=\"https:\/\/www.glbgpt.com\/hub\/can-chatgpt-do-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT\u5728\u6570\u5b66\u65b9\u9762\u7684\u5f97\u5931<\/a> \u89e3\u91ca\u4e86\u4e3a\u4f55\u4ec5\u5bf9\u7b54\u6848\u8fdb\u884c\u8bc4\u4f30\u53ef\u80fd\u4f1a\u9057\u6f0f\u4e00\u4e2a\u5f31\u8fc7\u7a0b\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u201c\u591a\u4f59\u6839\u6d4b\u8bd5\u201d\u662f\u66f4\u5e7f\u6cdb\u5931\u8d25\u6a21\u5f0f\u7684\u4e00\u4e2a\u4f8b\u5b50\u3002\u53c2\u89c1 <a href=\"https:\/\/www.glbgpt.com\/hub\/why-is-chatgpt-so-bad-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u4e3a\u4ec0\u4e48ChatGPT\u5728\u6570\u5b66\u4e0a\u4f1a\u5931\u8d25<\/a> \u66f4\u591a\u5173\u4e8e\u6761\u4ef6\u548c\u9a8c\u8bc1\u4f1a\u6539\u53d8\u7ed3\u679c\u7684\u6848\u4f8b\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"choose\">\u5e94\u8be5\u9009\u62e9\u54ea\u6b3eAI\u6570\u5b66\u89e3\u9898\u5de5\u5177\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u9009\u62e9 GPT-5.6 Sol\uff0c\u4ee5\u83b7\u5f97\u9ad8\u5ea6\u7ed3\u6784\u5316\u7684\u7ec3\u4e60\u9898\u89e3\u7b54<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u672c\u6b21\u6d4b\u8bd5\u4e2d\uff0cGPT-5.6 Sol \u7ed9\u51fa\u4e86\u6700\u957f\u4e14\u5206\u6bb5\u6700\u660e\u786e\u7684\u7b54\u6848\u3002\u5f53\u60a8\u5e0c\u671b\u5c06\u6bcf\u4e00\u6b65\u53d8\u6362\u3001\u6761\u4ef6\u548c\u9a8c\u8bc1\u90fd\u8be6\u7ec6\u5199\u51fa\u65f6\uff0c\u5b83\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u9009\u62e9\u3002\u5728\u672c\u6b21\u5355\u6b21\u8bf7\u6c42\u4e2d\uff0c\u5b83\u662f\u4e09\u8005\u4e2d\u901f\u5ea6\u6700\u6162\u7684\uff0c\u56e0\u6b64\u5bf9\u901f\u5ea6\u654f\u611f\u7684\u7528\u6237\u5e94\u6839\u636e\u81ea\u8eab\u5de5\u4f5c\u8d1f\u8f7d\u8fdb\u884c\u6d4b\u8bd5\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u9009\u62e9 Claude Opus 5\uff0c\u4ee5\u83b7\u53d6\u7b80\u660e\u800c\u4e25\u8c28\u7684\u89e3\u91ca<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Claude Opus 5 \u901a\u8fc7\u7b80\u6d01\u7684\u63a8\u7406\u548c\u4e25\u8c28\u7684\u6761\u4ef6\u68c0\u67e5\uff0c\u5f97\u51fa\u4e86\u6240\u6709\u6b63\u786e\u7b54\u6848\u3002\u5728\u6b64\u8f6e\u6d4b\u8bd5\u4e2d\uff0c\u5176 API \u54cd\u5e94\u5ef6\u8fdf\u4e0e Gemini \u76f8\u5f53\u3002\u7531\u4e8e\u6355\u83b7\u7f16\u7801\u95ee\u9898\uff0c\u4fdd\u5b58\u7684\u539f\u59cb\u54cd\u5e94\u4e2d\u90e8\u5206\u6570\u5b66\u7b26\u53f7\u51fa\u73b0\u5f02\u5e38\uff1b\u4f46\u5e95\u5c42\u7684\u63a8\u7406\u6b65\u9aa4\u548c\u7b54\u6848\u4f9d\u7136\u6e05\u6670\u4e14\u6b63\u786e\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u9009\u62e9 Gemini 3.6 Flash\uff0c\u4ee5\u83b7\u5f97\u5feb\u901f\u3001\u5168\u9762\u7684\u54cd\u5e94<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u672c\u6b21\u5355\u6b21\u8fd0\u884c\u5bf9\u6bd4\u4e2d\uff0cGemini 3.6 Flash \u662f\u901f\u5ea6\u6700\u5feb\u7684\u673a\u578b\uff0c\u4e14\u4ecd\u5305\u542b\u6240\u6709\u5fc5\u8981\u7684\u9a8c\u8bc1\u6b65\u9aa4\u3002\u8fd9\u4f7f\u5176\u6210\u4e3a\u5feb\u901f\u68c0\u67e5\u7684\u5b9e\u7528\u9996\u9009\uff0c\u4f46\u5176\u6bd4 Claude \u5feb 0.44 \u79d2\u7684\u4f18\u52bf\u8fc7\u4e8e\u5fae\u5f31\uff0c\u65e0\u6cd5\u89c6\u4e3a\u6301\u4e45\u7684\u901f\u5ea6\u4f18\u52bf\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u5173 OpenAI \u7684\u5177\u4f53\u51b3\u5b9a\uff0c\u8bf7\u53c2\u89c1 <a href=\"https:\/\/www.glbgpt.com\/hub\/which-chatgpt-model-is-best-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT\u7cfb\u5217\u4e2d\u54ea\u6b3e\u673a\u578b\u6700\u9002\u5408\u5b66\u6570\u5b66\uff1f<\/a>. \u5bf9\u4e8e\u7814\u7a76\u5de5\u4f5c\u6d41\u7a0b\uff0c\u8be5 <a href=\"https:\/\/www.glbgpt.com\/hub\/how-to-use-chatgpt-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT \u4f5c\u4e1a\u5de5\u4f5c\u6d41<\/a> \u5c55\u793a\u4e86\u5982\u4f55\u8981\u6c42\u5bf9\u65b9\u8fdb\u884c\u89e3\u91ca\uff0c\u800c\u4e0d\u662f\u4ec5\u7ed9\u51fa\u7b54\u6848\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"globalgpt-math-solver\">\u5728 GlobalGPT \u4e2d\u66f4\u7b80\u4fbf\u7684\u6570\u5b66\u89e3\u9898\u4e0e\u68c0\u67e5\u65b9\u6cd5<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u60a8\u5e0c\u671b\u4f7f\u7528\u4e00\u4e2a\u529f\u80fd\u96c6\u4e2d\u7684\u754c\u9762\uff0c\u800c\u4e0d\u662f\u81ea\u884c\u6784\u5efa API \u8bf7\u6c42\uff0c\u90a3\u4e48 <a href=\"https:\/\/www.glbgpt.com\/features\/ai-math-solver\" target=\"_blank\" rel=\"noreferrer noopener\">GlobalGPT \u4eba\u5de5\u667a\u80fd\u6570\u5b66\u6c42\u89e3\u5668<\/a> \u60a8\u53ef\u4ee5\u5728\u4e00\u4e2a\u5730\u65b9\u8f93\u5165\u9898\u76ee\u6216\u4e0a\u4f20\u56fe\u7247\uff0c\u5e76\u8bf7\u6c42\u5206\u6b65\u8bb2\u89e3\u3002\u5229\u7528\u8be5\u529f\u80fd\u83b7\u53d6\u89e3\u9898\u8fc7\u7a0b\uff0c\u7136\u540e\u5728\u91c7\u7eb3\u7b54\u6848\u4e4b\u524d\uff0c\u518d\u8bf7\u6c42\u9a8c\u8bc1\u6b65\u9aa4\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>\u8bd5\u8bd5 GlobalGPT \u4eba\u5de5\u667a\u80fd\u6570\u5b66\u89e3\u9898\u5668<\/strong><p>\u8f93\u5165\u6216\u4e0a\u4f20\u4e00\u9053\u6570\u5b66\u9898\uff0c\u67e5\u770b\u89e3\u9898\u6b65\u9aa4\uff0c\u5e76\u8bf7\u89e3\u9898\u5668\u9a8c\u8bc1\u7ed3\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 \u6570\u5b66\u89e3\u9898\u5668<\/a><\/p><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"better-results\">\u5982\u4f55\u4ece\u4efb\u4f55AI\u6570\u5b66\u89e3\u9898\u5668\u4e2d\u83b7\u5f97\u66f4\u597d\u7684\u7ed3\u679c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u4ece\u4eba\u5de5\u667a\u80fd\u6570\u5b66\u6c42\u89e3\u5668\u4e2d\u83b7\u5f97\u6700\u4f73\u7ed3\u679c\uff0c\u53d6\u51b3\u4e8e\u4f60\u5982\u4f55\u63d0\u51fa\u95ee\u9898\u3002\u4e00\u4e2a\u6e05\u6670\u7684\u63d0\u793a\u53ef\u4ee5\u8ba9\u4f60\u5f97\u5230\u4e00\u4e2a\u4e0d\u5b8c\u6574\u7684\u7b54\u6848\uff0c\u4e5f\u53ef\u4ee5\u8ba9\u4f60\u5f97\u5230\u4e00\u4e2a\u6709\u7528\u7684\u5faa\u5e8f\u6e10\u8fdb\u7684\u89e3\u51b3\u65b9\u6848\u3002.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u4e3a\u4e86\u89e3\u51b3\u95ee\u9898<\/strong> \u201c\u8bf7\u4e00\u6b65\u4e00\u6b65\u5730\u89e3\u8fd9\u9053\u9898\uff0c\u5e76\u89e3\u91ca\u6bcf\u4e00\u6b65\u7684\u53d8\u6362\u3002\u201d<\/li><li><strong>\u7528\u4e8e\u68c0\u67e5\u5de5\u4f5c\uff1a<\/strong> \u201c\u627e\u51fa\u6211\u7b2c\u4e00\u4e2a\u9519\u8bef\u7684\u6b65\u9aa4\uff0c\u5e76\u89e3\u91ca\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u9519\u3002\u201d<\/li><li><strong>\u5173\u4e8e\u6761\u4ef6\uff1a<\/strong> \u201c\u6307\u51fa\u539f\u65b9\u7a0b\u7684\u5b9a\u4e49\u57df\uff0c\u5e76\u68c0\u67e5\u6bcf\u4e2a\u89e3\u3002\u201d<\/li><li><strong>\u5173\u4e8e\u5fae\u79ef\u5206\uff1a<\/strong> \u201c\u6307\u51fa\u8be5\u6362\u5143\uff0c\u5e76\u901a\u8fc7\u6c42\u5bfc\u9a8c\u8bc1\u539f\u51fd\u6570\u3002\u201d<\/li><li><strong>\u5bf9\u4e8e\u6587\u5b57\u95ee\u9898<\/strong> \u201c\u5728\u6c42\u89e3\u4e4b\u524d\uff0c\u5148\u5b9a\u4e49\u53d8\u91cf\u5e76\u5199\u51fa\u65b9\u7a0b\u3002\u201d<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u91c7\u4fe1\u4e00\u4e2a\u590d\u6742\u7684\u7b54\u6848\u4e4b\u524d\uff0c\u5e94\u5c06\u6700\u7ec8\u7ed3\u679c\u4e0e\u5047\u8bbe\u548c\u9a8c\u8bc1\u7ed3\u679c\u8fdb\u884c\u5bf9\u6bd4\u2014\u2014\u800c\u4e0d\u4ec5\u4ec5\u662f\u4e0e\u53e6\u4e00\u4e2a\u6a21\u578b\u7684\u6700\u7ec8\u6570\u503c\u8fdb\u884c\u5bf9\u6bd4\u3002\u8be5 <a href=\"https:\/\/www.glbgpt.com\/hub\/is-chatgpt-good-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">ChatGPT\u6570\u5b66\u8bd5\u9898\u7684\u51c6\u786e\u6027\u5ba1\u67e5<\/a> \u63d0\u4f9b\u4e86\u66f4\u5b9e\u7528\u7684\u68c0\u67e5\u6807\u51c6\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"faq\">\u5e38\u89c1\u95ee\u9898<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u5728\u8fd9\u9879\u6d4b\u8bd5\u4e2d\uff0c\u54ea\u6b3eAI\u6570\u5b66\u89e3\u9898\u5de5\u5177\u8868\u73b0\u6700\u4f73\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u57282026\u5e747\u670828\u65e5\u7684\u6d4b\u8bd5\u4e2d\uff0cGPT-5.6 Sol\u3001Claude Opus 5\u548cGemini 3.6 Flash\u5747\u4ee55\/5\u7684\u6210\u7ee9\u5e76\u5217\u7b2c\u4e00\u3002Gemini\u5728\u5355\u6b21\u8fd0\u884c\u4e2d\u901f\u5ea6\u6700\u5feb\uff0c\u4f46\u6837\u672c\u91cf\u8fc7\u5c0f\uff0c\u65e0\u6cd5\u786e\u5b9a\u5176\u662f\u5426\u5728\u51c6\u786e\u6027\u6216\u901f\u5ea6\u65b9\u9762\u5177\u6709\u666e\u904d\u4f18\u52bf\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u54ea\u6b3e\u8f66\u578b\u6700\u5feb\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Gemini 3.6 Flash \u7684\u54cd\u5e94\u65f6\u95f4\u4e3a 17.45 \u79d2\uff0cClaude Opus 5 \u4e3a 17.89 \u79d2\uff0cGPT-5.6 Sol \u4e3a 32.85 \u79d2\u3002\u8fd9\u4e9b\u662f\u5355\u6b21\u8fd0\u884c\u7684 API \u6d4b\u91cf\u7ed3\u679c\uff0c\u5e76\u975e\u957f\u671f\u5ef6\u8fdf\u57fa\u51c6\u6d4b\u8bd5\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4eba\u5de5\u667a\u80fd\u80fd\u5426\u51c6\u786e\u89e3\u51b3\u6587\u5b57\u95ee\u9898\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\uff0c\u4f46\u8981\u8ba9\u6a21\u578b\u5b9a\u4e49\u53d8\u91cf\u3001\u5efa\u7acb\u65b9\u7a0b\u5e76\u9a8c\u8bc1\u7ed3\u679c\u3002\u5728\u8fd9\u9879\u6d4b\u8bd5\u4e2d\uff0c\u8fd9\u4e09\u4e2a\u7ecf\u8fc7\u6d4b\u8bd5\u7684\u6a21\u578b\u90fd\u6b63\u786e\u5730\u89e3\u51b3\u4e86\u51e0\u4f55\u548c\u767e\u5206\u6bd4\u5e94\u7528\u9898\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4eba\u5de5\u667a\u80fd\u6570\u5b66\u89e3\u9898\u5668\u4f1a\u4fdd\u7559\u4e00\u4e2a\u9519\u8bef\u7684\u7b54\u6848\u5417\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002\u5c06\u65b9\u7a0b\u5e73\u65b9\u6216\u9664\u4ee5\u53d8\u91cf\u8868\u8fbe\u5f0f\u53ef\u80fd\u4f1a\u5f15\u5165\u6216\u63a9\u76d6\u65e0\u6548\u60c5\u51b5\u3002\u8bf7\u6c42\u89e3\u5668\u8bf4\u660e\u6761\u4ef6\uff0c\u5e76\u6d4b\u8bd5\u539f\u95ee\u9898\u4e2d\u7684\u6bcf\u4e2a\u5019\u9009\u89e3\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4eba\u5de5\u667a\u80fd\u80fd\u8bfb\u61c2\u624b\u5199\u6570\u5b66\u9898\u5417\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u591a\u6a21\u6001\u6570\u5b66\u5de5\u5177\u652f\u6301\u56fe\u50cf\u8f93\u5165\uff0c\u4f46\u5728\u672c\u6587\u6240\u8ff0\u7684\u4ec5\u9650\u6587\u672c\u7684 API \u8fd0\u884c\u4e2d\uff0c\u5e76\u672a\u6d4b\u8bd5\u624b\u5199\u8bc6\u522b\u529f\u80fd\u3002GlobalGPT \u6570\u5b66\u89e3\u9898\u5668\u9875\u9762\u652f\u6301\u4e0a\u4f20\u6570\u5b66\u9898\u56fe\u7247\uff0c\u4ee5\u83b7\u53d6\u5206\u6b65\u89e3\u7b54\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6211\u53ef\u4ee5\u7528 GlobalGPT \u6765\u89e3\u6570\u5b66\u9898\u5417\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002GlobalGPT 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class=\"wp-block-paragraph\">\u8be5\u6d4b\u8bd5\u4e8e2026\u5e747\u670828\u65e5\u4f7f\u7528\u4e86\u4e00\u4e2a\u6388\u6743\u7684API\u8fde\u63a5\uff0c\u5e76\u6d88\u8017\u4e86\u9002\u91cf\u7684API\u914d\u989d\u3002\u6bcf\u4e2a\u6a21\u578b\u5728\u5355\u6b21\u8bf7\u6c42\u4e2d\u90fd\u6536\u5230\u4e86\u76f8\u540c\u7684\u4e94\u4e2a\u95ee\u9898\u548c\u8bf4\u660e\uff1b\u672a\u63d0\u4f9b\u9488\u5bf9\u7279\u5b9a\u6a21\u578b\u7684\u91c7\u6837\u8bbe\u7f6e\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\/wp-json\/wp\/v2\/posts\/13041","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/comments?post=13041"}],"version-history":[{"count":18,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/posts\/13041\/revisions"}],"predecessor-version":[{"id":17341,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/posts\/13041\/revisions\/17341"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/media\/13093"}],"wp:attachment":[{"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/media?parent=13041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/categories?post=13041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/zh\/wp-json\/wp\/v2\/tags?post=13041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}