{"id":2878,"date":"2026-06-29T15:42:41","date_gmt":"2026-06-29T15:42:41","guid":{"rendered":"https:\/\/claviseducation.com\/%e7%89%9b%e6%b4%a5%e5%89%91%e6%a1%a5%e6%95%b0%e5%ad%a6%e9%9d%a2%e8%af%95%e9%a2%98\/"},"modified":"2026-08-30T08:49:44","modified_gmt":"2026-08-30T08:49:44","slug":"%e7%89%9b%e6%b4%a5%e5%89%91%e6%a1%a5%e6%95%b0%e5%ad%a6%e9%9d%a2%e8%af%95%e9%a2%98","status":"publish","type":"page","link":"https:\/\/claviseducation.com\/zh-hans\/%e7%89%9b%e6%b4%a5%e5%89%91%e6%a1%a5%e6%95%b0%e5%ad%a6%e9%9d%a2%e8%af%95%e9%a2%98\/","title":{"rendered":"\u725b\u5251\u6570\u5b66\u9762\u8bd5\u95ee\u9898"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2878\" class=\"elementor elementor-2878 elementor-1878\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5491ce5 e-con e-atomic-element e-flexbox-base e-default-div e-5491ce5-2276e95 \" data-id=\"5491ce5\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"5491ce5\" data-e-type=\"e-flexbox\" data-id=\"5491ce5\">\n    <div class=\"elementor-element elementor-element-6ff0a5b e-con e-atomic-element e-flexbox-base e-default-div e-6ff0a5b-c41e54f \" data-id=\"6ff0a5b\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"6ff0a5b\" data-e-type=\"e-flexbox\" data-id=\"6ff0a5b\">\n    \t\t<div class=\"elementor-element elementor-element-09a0a97 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"09a0a97\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>\u4e8c\u5341\u9053\u771f\u5b9e\u96be\u5ea6\u7684\u6570\u5b66\u9898\uff0c\u5e2e\u52a9\u4f60\u4e3a\u9762\u8bd5\u505a\u597d\u51c6\u5907\uff0c\u7531\u6211\u4eec\u7684\u725b\u5251\u6bd5\u4e1a\u7684\u5bfc\u5e08\u7f16\u5199\u5e76\u914d\u56fe\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\n<\/div>\n<div class=\"elementor-element elementor-element-d45cabf e-con e-atomic-element e-flexbox-base e-default-div e-d45cabf-4f278e5 \" data-id=\"d45cabf\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"d45cabf\" data-e-type=\"e-flexbox\" data-id=\"d45cabf\">\n    \t\t<div class=\"elementor-element elementor-element-969707e elementor-widget elementor-widget-html\" data-id=\"969707e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<style>\n.hint {\n  border: 1px solid #E3E7ED;\n  border-radius: 10px;\n  margin: 0.75rem 0 1.5rem;\n  background: #FBFCFE;\n  font-family: 'Helvetica Neue', Arial, sans-serif;\n}\n.hint > summary {\n  cursor: pointer;\n  list-style: none;\n  padding: 0.7rem 1rem;\n  font-weight: 600;\n  color: #17263F;\n  display: flex;\n  align-items: center;\n  gap: 0.5rem;\n}\n.hint > summary::-webkit-details-marker { display: none; }\n.hint > summary::before {\n  content: \"\u25b8\";\n  color: #B68A36;\n  transition: transform 0.15s ease;\n}\n.hint[open] > summary::before { transform: rotate(90deg); }\n.hint .hint-body {\n  padding: 0 1rem 1rem;\n  color: #34404F;\n  line-height: 1.55;\n}\n<\/style>\n\n<script>\n  window.MathJax = {\n    tex: { inlineMath: [['\\\\(', '\\\\)']], displayMath: [['\\\\[', '\\\\]']] },\n    svg: { fontCache: 'global' }\n  };\n<\/script>\n<script async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-svg.js\"><\/script>\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4c70a09 e-con e-atomic-element e-flexbox-base e-default-div e-4c70a09-a065847 \" data-id=\"4c70a09\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"4c70a09\" data-e-type=\"e-flexbox\" data-id=\"4c70a09\">\n    \t\t<div class=\"elementor-element elementor-element-b5a20a5 elementor-widget elementor-widget-text-editor\" data-id=\"b5a20a5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u98981<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3bb5ac9 elementor-widget elementor-widget-html\" data-id=\"3bb5ac9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8bc1\u660e\u5bf9\u4e8e\u4efb\u610f\u6574\u6570 \\( n \\)\uff0c\\( n^5 - n \\) \u90fd\u80fd\u88ab 30 \u6574\u9664\u3002\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3aa3131 elementor-widget elementor-widget-html\" data-id=\"3aa3131\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q1 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5206\u522b\u8ba8\u8bba\u88ab 2\u30013 \u548c 5 \u6574\u9664\u7684\u60c5\u51b5\u3002\u56e0\u5f0f\u5206\u89e3 \\( n^5 - n = (n-1)\\,n\\,(n+1)(n^2+1) \\)\uff1a\u4e09\u4e2a\u8fde\u7eed\u6574\u6570\u4fdd\u8bc1\u4e86 2 \u548c 3 \u7684\u56e0\u5b50\u3002\u5bf9\u4e8e\u56e0\u5b50 5\uff0c\u8003\u8651 \\(n\\) \u9664\u4ee5 5 \u65f6\u6240\u6709\u53ef\u80fd\u7684\u4f59\u6570\uff08\u6216\u56de\u987e\u8d39\u9a6c\u7684\u4e00\u4e2a\u7ed3\u8bba\uff09\u3002\u8bc1\u660e\u8be5\u8868\u8fbe\u5f0f\u80fd\u88ab 2\u30013 \u548c 5 \u5206\u522b\u6574\u9664\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-727e929 e-con e-atomic-element e-flexbox-base e-default-div e-727e929-89f70b6 \" data-id=\"727e929\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"727e929\" data-e-type=\"e-flexbox\" data-id=\"727e929\">\n    \t\t<div class=\"elementor-element elementor-element-df47abd elementor-widget elementor-widget-text-editor\" data-id=\"df47abd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u98982<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1e8932b elementor-widget elementor-widget-html\" data-id=\"1e8932b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8bc1\u660e \\( \\log_2 3 \\) \u662f\u65e0\u7406\u6570\uff1b\u4f60\u53ef\u4ee5\u5047\u8bbe \\( \\sqrt{2} \\) \u662f\u65e0\u7406\u6570\u3002\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6217e34 elementor-widget elementor-widget-html\" data-id=\"6217e34\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q2 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5047\u8bbe \\( \\log_2 3 = p\/q \\)\uff0c\u5176\u4e2d \\(p, q\\) \u4e3a\u6b63\u6574\u6570\uff0c\u5e76\u5c06\u5176\u6539\u5199\u4e3a\u4e00\u4e2a\u8054\u7cfb 2 \u7684\u5e42\u4e0e 3 \u7684\u5e42\u7684\u7b49\u5f0f\u3002\u7136\u540e\u601d\u8003\uff1a\u7b49\u5f0f\u7684\u4e00\u8fb9\u4e3a\u5076\u6570\u800c\u53e6\u4e00\u8fb9\u4e3a\u5947\u6570\uff0c\u8fd9\u8bf4\u660e\u4e86\u4ec0\u4e48\uff1f<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-c5bbb84 e-con e-atomic-element e-flexbox-base e-default-div e-c5bbb84-09a40c2 \" data-id=\"c5bbb84\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"c5bbb84\" data-e-type=\"e-flexbox\" data-id=\"c5bbb84\">\n    \t\t<div class=\"elementor-element elementor-element-d58ba4c elementor-widget elementor-widget-text-editor\" data-id=\"d58ba4c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u9898 3<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2cf8e97 elementor-widget elementor-widget-html\" data-id=\"2cf8e97\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\\( 100! \\) \u7684\u672b\u5c3e\u6709\u591a\u5c11\u4e2a\u96f6\uff1f\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-27c80aa elementor-widget elementor-widget-html\" data-id=\"27c80aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q3 -->\n<details class=\"hint\"><summary>\u67e5\u770b\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u672b\u5c3e\u7684 0 \u6765\u81ea\u56e0\u5b50 10\uff0c\u4e5f\u5c31\u662f\u4e00\u5bf9 2 \u548c 5\u3002\u7531\u4e8e\u56e0\u5b50 2 \u8fdc\u6bd4\u56e0\u5b50 5 \u5e38\u89c1\uff0c\u53ea\u9700\u6570\u4e00\u6570\u4ece 1 \u5230 100 \u7684\u5404\u4e2a\u6570\u4e2d\u4e00\u5171\u542b\u6709\u591a\u5c11\u4e2a\u56e0\u5b50 5\uff0c\u540c\u65f6\u8bb0\u4f4f 25\u300150\u300175 \u548c 100 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x=\"310\" y=\"230\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"30\" y=\"270\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"70\" y=\"270\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"110\" y=\"270\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"150\" y=\"270\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"190\" y=\"270\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"230\" y=\"270\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"270\" y=\"270\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"310\" y=\"270\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"30\" y=\"310\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"70\" y=\"310\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"110\" y=\"310\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"150\" y=\"310\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"190\" y=\"310\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"230\" y=\"310\" width=\"40\" height=\"40\" fill=\"#3B6CA6\"><\/rect><rect x=\"270\" y=\"310\" width=\"40\" height=\"40\" fill=\"#DCE6F2\"><\/rect><rect x=\"310\" y=\"310\" width=\"40\" height=\"40\" fill=\"#FFFFFF\" stroke=\"#B68A36\" stroke-width=\"1.6\" stroke-dasharray=\"4 3\"><\/rect><rect x=\"30\" y=\"30\" width=\"320\" height=\"320\" fill=\"none\" stroke=\"#17263F\" stroke-width=\"2.2\"><\/rect><rect x=\"382\" y=\"150\" width=\"40\" height=\"80\" rx=\"6\" fill=\"#C9D2DE\" stroke=\"#17263F\" stroke-width=\"2\"><\/rect><line x1=\"382\" y1=\"190\" x2=\"422\" y2=\"190\" stroke=\"#17263F\" stroke-width=\"1.6\"><\/line><text x=\"402\" y=\"250\" font-size=\"13\" fill=\"#6E7785\" text-anchor=\"middle\">1\u00d72 domino<\/text><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-08a03a1 elementor-widget elementor-widget-spacer\" data-id=\"08a03a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\n<\/div>\n<div class=\"elementor-element elementor-element-5ba43ba e-con e-atomic-element e-flexbox-base e-default-div e-5ba43ba-1dea0e2 \" data-id=\"5ba43ba\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"5ba43ba\" data-e-type=\"e-flexbox\" data-id=\"5ba43ba\">\n    <div class=\"elementor-element elementor-element-d49550f e-con e-atomic-element e-flexbox-base e-default-div e-d49550f-b425808 \" data-id=\"d49550f\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"d49550f\" data-e-type=\"e-flexbox\" data-id=\"d49550f\">\n    \t\t<div class=\"elementor-element elementor-element-407f723 elementor-widget elementor-widget-text-editor\" data-id=\"407f723\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 6 \u9898<\/strong><br \/>\u7528 n \u6761\u76f4\u7ebf\u5207\u4e00\u4e2a\u62ab\u8428\uff0c\u6700\u591a\u80fd\u5207\u6210\u591a\u5c11\u5757\uff1f<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-36d4e76 elementor-widget elementor-widget-html\" data-id=\"36d4e76\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q6 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u4e00\u5200\u4e00\u5200\u5730\u9010\u6b65\u6784\u9020\u3002\u5f53\u52a0\u5165\u7b2c \\(k\\) \u5200\u65f6\uff0c\u5b83\u80fd\u4e0e\u5df2\u6709\u7684\u591a\u5c11\u5200\u76f8\u4ea4\uff0c\u6bcf\u6b21\u76f8\u4ea4\u53c8\u4f1a\u65b0\u589e\u51e0\u5757\u62ab\u8428\uff1f\u628a\u5b83\u8f6c\u5316\u4e3a\u62ab\u8428\u5757\u6570\u7684\u9012\u63a8\u5173\u7cfb\uff0c\u518d\u6c42\u548c\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-a6006a9 e-con e-atomic-element e-flexbox-base e-default-div e-a6006a9-6d24a7c \" data-id=\"a6006a9\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"a6006a9\" data-e-type=\"e-flexbox\" data-id=\"a6006a9\">\n    \t\t\t<div class=\"e-6ca84df-a55abf0 e-svg-base e-default-div\" data-interaction-id=\"6ca84df\" data-e-type=\"widget\" data-id=\"6ca84df\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" fill=\"currentColor\" style=\"width: 100%; height: 100%; overflow: unset;\" viewBox=\"0 0 400 400\" font-family=\"'Helvetica Neue', Arial, sans-serif\"><rect x=\"0\" y=\"0\" width=\"400\" height=\"400\" rx=\"14\" fill=\"#FFFFFF\" stroke=\"#E3E7ED\" stroke-width=\"1.5\"><\/rect><circle cx=\"200\" cy=\"200\" r=\"156\" fill=\"#F2C879\"><\/circle><circle cx=\"200\" cy=\"200\" r=\"150\" fill=\"#FBEFD2\" stroke=\"#E0B25E\" stroke-width=\"2\"><\/circle><line x1=\"344.9\" y1=\"238.8\" x2=\"64.1\" y2=\"136.6\" stroke=\"#17263F\" stroke-width=\"2.2\"><\/line><line x1=\"238.8\" y1=\"344.9\" x2=\"148.7\" y2=\"59.0\" stroke=\"#17263F\" stroke-width=\"2.2\"><\/line><line x1=\"103.6\" y1=\"314.9\" x2=\"314.9\" y2=\"103.6\" stroke=\"#17263F\" stroke-width=\"2.2\"><\/line><line x1=\"347.7\" y1=\"174.0\" x2=\"52.3\" y2=\"226.0\" stroke=\"#17263F\" stroke-width=\"2.2\"><\/line><text x=\"200\" y=\"384\" font-size=\"13\" fill=\"#6E7785\" text-anchor=\"middle\">n straight cuts<\/text><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-54c2191 elementor-widget elementor-widget-spacer\" data-id=\"54c2191\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\n<\/div>\n<div class=\"elementor-element elementor-element-43af644 e-con e-atomic-element e-flexbox-base e-default-div e-43af644-1942bb1 \" data-id=\"43af644\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"43af644\" data-e-type=\"e-flexbox\" data-id=\"43af644\">\n    <div class=\"elementor-element elementor-element-ccb6d74 e-con e-atomic-element e-flexbox-base e-default-div e-ccb6d74-02156e0 \" data-id=\"ccb6d74\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"ccb6d74\" data-e-type=\"e-flexbox\" data-id=\"ccb6d74\">\n    \t\t<div class=\"elementor-element elementor-element-fe50ecd elementor-widget elementor-widget-text-editor\" data-id=\"fe50ecd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 7 \u9898<\/strong><br \/>\u7528\u516d\u79cd\u989c\u8272\u7ed9\u7acb\u65b9\u4f53\u7684\u6bcf\u4e2a\u9762\u5404\u6d82\u4e00\u79cd\u4e0d\u540c\u7684\u989c\u8272\u3002\u5982\u679c\u628a\u65cb\u8f6c\u540e\u76f8\u540c\u7684\u6d82\u8272\u89c6\u4e3a\u540c\u4e00\u79cd\uff0c\u4e00\u5171\u6709\u591a\u5c11\u79cd\u4e0d\u540c\u7684\u7acb\u65b9\u4f53\uff1f<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0cdace4 elementor-widget elementor-widget-html\" data-id=\"0cdace4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q7 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5148\u5047\u8bbe\u7acb\u65b9\u4f53\u56fa\u5b9a\u4e0d\u52a8\u3001\u5ffd\u7565\u65cb\u8f6c\uff0c\u6570\u4e00\u6570\u5171\u6709\u591a\u5c11\u79cd\u6d82\u8272\u65b9\u5f0f\u3002\u518d\u8003\u8651\u5230\u6bcf\u4e2a\u771f\u6b63\u4e0d\u540c\u7684\u7acb\u65b9\u4f53\u90fd\u53ef\u4ee5\u65cb\u8f6c\u6210\u4e0a\u8ff0\u56fa\u5b9a\u6446\u653e\u4e2d\u7684\u591a\u79cd\u6837\u5b50\u3002\u4e00\u4e2a\u7acb\u65b9\u4f53\u6709\u591a\u5c11\u79cd\u65cb\u8f6c\uff1f<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-ac1654c e-con e-atomic-element e-flexbox-base e-default-div e-ac1654c-62c3a0d \" data-id=\"ac1654c\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"ac1654c\" data-e-type=\"e-flexbox\" data-id=\"ac1654c\">\n    \t\t\t<div class=\"e-77b61e8-5f08403 e-svg-base e-default-div\" data-interaction-id=\"77b61e8\" data-e-type=\"widget\" data-id=\"77b61e8\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" fill=\"currentColor\" style=\"width: 100%; height: 100%; overflow: unset;\" viewBox=\"0 0 420 360\" font-family=\"'Helvetica Neue', Arial, sans-serif\"><rect x=\"0\" y=\"0\" width=\"420\" height=\"360\" rx=\"14\" fill=\"#FFFFFF\" stroke=\"#E3E7ED\" stroke-width=\"1.5\"><\/rect><polygon points=\"120,100 250,100 310,55 180,55\" fill=\"#4B86C2\" stroke=\"#17263F\" stroke-width=\"2\" stroke-linejoin=\"round\"><\/polygon><polygon points=\"250,230 310,185 310,55 250,100\" fill=\"#5BA86B\" stroke=\"#17263F\" stroke-width=\"2\" stroke-linejoin=\"round\"><\/polygon><polygon points=\"120,230 250,230 250,100 120,100\" fill=\"#C24B4B\" stroke=\"#17263F\" stroke-width=\"2\" stroke-linejoin=\"round\"><\/polygon><defs><marker id=\"ar\" markerWidth=\"9\" markerHeight=\"9\" refX=\"7\" refY=\"3\" orient=\"auto\" markerUnits=\"strokeWidth\"><path d=\"M0,0 L7,3 L0,6 Z\" fill=\"#B68A36\"><\/path><\/marker><\/defs><path d=\"M150,300 A130,40 0 0 0 330,300\" fill=\"none\" stroke=\"#B68A36\" stroke-width=\"2.2\" marker-end=\"url(#ar)\"><\/path><text x=\"240\" y=\"338\" font-size=\"13\" fill=\"#6E7785\" text-anchor=\"middle\">rotations count as the same<\/text><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c2d23de elementor-widget elementor-widget-spacer\" data-id=\"c2d23de\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\n<\/div>\n<div class=\"elementor-element elementor-element-7438bfa e-con e-atomic-element e-flexbox-base e-default-div e-7438bfa-53a0ae7 \" data-id=\"7438bfa\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"7438bfa\" data-e-type=\"e-flexbox\" data-id=\"7438bfa\">\n    <div class=\"elementor-element elementor-element-2db8b4f e-con e-atomic-element e-flexbox-base e-default-div e-2db8b4f-11d3431 \" data-id=\"2db8b4f\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"2db8b4f\" data-e-type=\"e-flexbox\" data-id=\"2db8b4f\">\n    \t\t<div class=\"elementor-element elementor-element-ddd9e8b elementor-widget elementor-widget-text-editor\" data-id=\"ddd9e8b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 8 \u9898<\/strong><br \/>n \u4e2a\u4eba\u968f\u673a\u56f4\u5750\u5728\u4e00\u5f20\u5706\u684c\u65c1\uff0c\u5176\u4e2d\u4e24\u4e2a\u7279\u5b9a\u7684\u4eba\u5f7c\u6b64\u76f8\u90bb\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9dd0d01 elementor-widget elementor-widget-html\" data-id=\"9dd0d01\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q8 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5148\u8ba9\u8fd9\u4e24\u4e2a\u4eba\u4e2d\u7684\u4e00\u4e2a\u4eba\u5750\u5728\u67d0\u4e2a\u5ea7\u4f4d\u4e0a\uff0c\u7136\u540e\u770b\u53e6\u4e00\u4e2a\u4eba\u80fd\u5750\u5728\u54ea\u91cc\u3002\u4ed6\u6709\u591a\u5c11\u4e2a\u5ea7\u4f4d\u53ef\u9009\uff0c\u5176\u4e2d\u53c8\u6709\u591a\u5c11\u4e2a\u7d27\u6328\u7740\u7b2c\u4e00\u4e2a\u4eba\uff1f<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-9651fbc e-con e-atomic-element e-flexbox-base e-default-div e-9651fbc-7cfd02c \" data-id=\"9651fbc\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"9651fbc\" data-e-type=\"e-flexbox\" data-id=\"9651fbc\">\n    \t\t\t<div class=\"e-29e3721-d38b814 e-svg-base e-default-div\" data-interaction-id=\"29e3721\" data-e-type=\"widget\" data-id=\"29e3721\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" fill=\"currentColor\" style=\"width: 100%; height: 100%; overflow: unset;\" viewBox=\"0 0 420 400\" font-family=\"'Helvetica Neue', Arial, sans-serif\"><rect x=\"0\" y=\"0\" width=\"420\" height=\"400\" rx=\"14\" fill=\"#FFFFFF\" stroke=\"#E3E7ED\" stroke-width=\"1.5\"><\/rect><circle cx=\"210\" cy=\"200\" r=\"112\" fill=\"#EAD9BE\" stroke=\"#B98F4A\" stroke-width=\"2.5\"><\/circle><circle cx=\"210.0\" cy=\"50.0\" r=\"13\" fill=\"#B68A36\" stroke=\"#17263F\" stroke-width=\"2\"><\/circle><text x=\"210.0\" y=\"54.0\" font-size=\"14\" fill=\"#FFFFFF\" text-anchor=\"middle\" font-weight=\"bold\">A<\/text><circle cx=\"316.1\" cy=\"93.9\" r=\"11\" fill=\"#3B6CA6\"><\/circle><circle cx=\"360.0\" cy=\"200.0\" r=\"11\" fill=\"#3B6CA6\"><\/circle><circle cx=\"316.1\" cy=\"306.1\" r=\"13\" fill=\"#B68A36\" stroke=\"#17263F\" stroke-width=\"2\"><\/circle><text x=\"316.1\" y=\"310.1\" font-size=\"14\" fill=\"#FFFFFF\" text-anchor=\"middle\" font-weight=\"bold\">B<\/text><circle cx=\"210.0\" cy=\"350.0\" r=\"11\" fill=\"#3B6CA6\"><\/circle><circle cx=\"103.9\" cy=\"306.1\" r=\"11\" fill=\"#3B6CA6\"><\/circle><circle cx=\"60.0\" cy=\"200.0\" r=\"11\" fill=\"#3B6CA6\"><\/circle><circle cx=\"103.9\" cy=\"93.9\" r=\"11\" fill=\"#3B6CA6\"><\/circle><text x=\"210\" y=\"206\" font-size=\"14\" fill=\"#7C5E2E\" text-anchor=\"middle\">n people<\/text><\/svg><\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e7ce7eb elementor-widget elementor-widget-spacer\" data-id=\"e7ce7eb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\n<\/div>\n<div class=\"elementor-element elementor-element-318595c e-con e-atomic-element e-flexbox-base e-default-div e-318595c-18c6cd5 \" data-id=\"318595c\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"318595c\" data-e-type=\"e-flexbox\" data-id=\"318595c\">\n    \t\t<div class=\"elementor-element elementor-element-e67fce8 elementor-widget elementor-widget-text-editor\" data-id=\"e67fce8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 9 \u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4b7e34b elementor-widget elementor-widget-html\" data-id=\"4b7e34b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u6c42\u503c \\[ \\sqrt{1+\\sqrt{1+\\sqrt{1+\\cdots}}} \\]\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d017eef elementor-widget elementor-widget-html\" data-id=\"d017eef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q9 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u6ce8\u610f\u6574\u4e2a\u8868\u8fbe\u5f0f\u4f1a\u5728\u81ea\u8eab\u5185\u90e8\u518d\u6b21\u51fa\u73b0\u3002\u4ee4\u5b83\u7b49\u4e8e \\(x\\)\uff0c\u5f97\u5230 \\( x = \\sqrt{1+x} \\)\uff0c\u4e8e\u662f\u6574\u7406\u6210\u5173\u4e8e \\(x\\) \u7684\u65b9\u7a0b\uff0c\u5e76\u9009\u53d6\u4e0e\u6b63\u5e73\u65b9\u6839\u76f8\u7b26\u7684\u90a3\u4e2a\u6839\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-b800465 e-con e-atomic-element e-flexbox-base e-default-div e-b800465-baa9bf8 \" data-id=\"b800465\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"b800465\" data-e-type=\"e-flexbox\" data-id=\"b800465\">\n    \t\t<div class=\"elementor-element elementor-element-f4fcf0f elementor-widget elementor-widget-text-editor\" data-id=\"f4fcf0f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 10 \u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f28184 elementor-widget elementor-widget-html\" data-id=\"1f28184\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u6c42 \\(x\\)\uff0c\u4f7f\u5f97\u65e0\u9650\u5e42\u5854 \\[ x^{x^{x^{\\cdots}}} = 2 \\]\n\n\u8ffd\u95ee\uff1a\u4e3a\u4ec0\u4e48\u4ee4\u5e42\u5854\u7b49\u4e8e 4 \u4f1a\u5f97\u5230\u76f8\u540c\u7684 \\(x\\)\uff1f\u8fd9\u53c8\u8bf4\u660e\u4e86\u5173\u4e8e\u6536\u655b\u6027\u7684\u4ec0\u4e48\u95ee\u9898\uff1f\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9d78591 elementor-widget elementor-widget-html\" data-id=\"9d78591\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5e95\u6570\u4e0a\u7684\u6307\u6570\u53c8\u662f\u5b8c\u6574\u7684\u5e42\u5854\u672c\u8eab\uff0c\u6240\u4ee5\u7528\u5e42\u5854\u6240\u7b49\u4e8e\u7684\u90a3\u4e2a\u503c\u6765\u66ff\u6362\u5b83\u3002\u8fd9\u6837\u4e00\u6765\uff0c\u95ee\u9898\u5c31\u5316\u7b80\u4e3a\u4e00\u4e2a\u5173\u4e8e \\(x\\) \u7684\u7b80\u5355\u65b9\u7a0b\u3002\u5bf9\u4e8e\u8ffd\u95ee\u90e8\u5206\uff0c\u5148\u5047\u8bbe\u5e42\u5854\u7b49\u4e8e 4\uff0c\u91cd\u590d\u540c\u6837\u7684\u6b65\u9aa4\uff0c\u6bd4\u8f83\u4e24\u79cd\u60c5\u51b5\uff0c\u7136\u540e\u4ed4\u7ec6\u60f3\u60f3\uff1a\u5e42\u5854\u771f\u7684\u80fd\u6536\u655b\u5230\u90a3\u4e48\u5927\u7684\u503c\u5417\uff1f<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-iqpc2 clv-iqp-mid e-con-full e-flex e-con e-parent\" data-id=\"iqpc2\" data-element_type=\"container\" data-e-type=\"container\" id=\"midcta\">\n\t\t\t\t<div class=\"elementor-element elementor-element-iqph1 elementor-widget elementor-widget-html\" data-id=\"iqph1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<div class=\"clv-iqp-mid__eyebrow\">\u8fd8\u6709\u5341\u9053<\/div><div class=\"clv-iqp-mid__h\">\u60f3\u548c\u725b\u5251\u6bd5\u4e1a\u7684\u5bfc\u5e08\u4e00\u8d77\u7ec3\u4e60\u8fd9\u4e9b\u9898\u5417\uff1f<\/div><p class=\"clv-iqp-mid__p\">\u770b\u61c2\u4e00\u9053\u9898\u548c\u5728\u538b\u529b\u4e0b\u628a\u5b83\u53e3\u5934\u8868\u8ff0\u51fa\u6765\u662f\u5b8c\u5168\u4e0d\u540c\u7684\u4e24\u56de\u4e8b\u3002\u6211\u4eec\u7684\u9762\u8bd5\u5bfc\u5e08\u90fd\u66fe\u5728\u725b\u6d25\u6216\u5251\u6865\u653b\u8bfb\u6570\u5b66\uff0c\u81ea\u5df1\u4e5f\u4eb2\u8eab\u53c2\u52a0\u8fc7\u8fd9\u4e9b\u9762\u8bd5 &mdash; \u6a21\u62df\u9762\u8bd5\u3001\u5373\u65f6\u53cd\u9988\uff0c\u4ee5\u53ca\u5173\u4e8e\u4f60\u5f53\u524d\u6c34\u5e73\u7684\u5766\u8bda\u8bc4\u4f30\u3002<\/p><a class=\"clv-iqp-mid__a\" href=\"#enquire\">\u54a8\u8be2\u9762\u8bd5\u51c6\u5907\u4e8b\u5b9c<\/a>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-1fe1fba e-con e-atomic-element e-flexbox-base e-default-div e-1fe1fba-2059c1f \" data-id=\"1fe1fba\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"1fe1fba\" data-e-type=\"e-flexbox\" data-id=\"1fe1fba\">\n    \t\t<div class=\"elementor-element elementor-element-26f1104 elementor-widget elementor-widget-text-editor\" data-id=\"26f1104\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 11 \u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-038fec0 elementor-widget elementor-widget-html\" data-id=\"038fec0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8bc1\u660e\uff1a\u5f53 \\( x > 0 \\) \u65f6\uff0c\\( x + \\dfrac{1}{x} \\ge 2 \\)\uff1b\u518d\u8bc1\u660e\uff1a\u5bf9\u4e8e\u6b63\u6570 \\( a, b, c \\)\uff0c\u6709 \\[ (a + b + c)\\left( \\frac{1}{a} + \\frac{1}{b} + \\frac{1}{c} \\right) \\ge 9 \\]\u3002\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-260fc09 elementor-widget elementor-widget-html\" data-id=\"260fc09\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5bf9\u4e8e\u7b2c\u4e00\u4e2a\u4e0d\u7b49\u5f0f\uff0c\u8003\u8651 \\( \\left(\\sqrt{x} - \\tfrac{1}{\\sqrt{x}}\\right)^2 \\)\uff0c\u5b83\u4e0d\u53ef\u80fd\u4e3a\u8d1f\u3002\u5bf9\u4e8e\u7b2c\u4e8c\u4e2a\u4e0d\u7b49\u5f0f\uff0c\u628a\u4e58\u79ef\u5c55\u5f00\u6210\u4e5d\u9879\uff0c\u5e76\u6309 \\( \\tfrac{a}{b} + \\tfrac{b}{a} \\) \u7684\u5f62\u5f0f\u4e24\u4e24\u914d\u5bf9\uff0c\u7136\u540e\u5bf9\u6bcf\u4e00\u5bf9\u5e94\u7528\u7b2c\u4e00\u4e2a\u7ed3\u8bba\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-f9e0fb5 e-con e-atomic-element e-flexbox-base e-default-div e-f9e0fb5-a60265e \" data-id=\"f9e0fb5\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"f9e0fb5\" data-e-type=\"e-flexbox\" data-id=\"f9e0fb5\">\n    \t\t<div class=\"elementor-element elementor-element-d83d456 elementor-widget elementor-widget-text-editor\" data-id=\"d83d456\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 12 \u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0df3521 elementor-widget elementor-widget-html\" data-id=\"0df3521\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8bbe\u4e00\u4e2a\u51fd\u6570\u5bf9\u6240\u6709\u5b9e\u6570 \\( x, y \\) \u90fd\u6ee1\u8db3 \\( f(x + y) = f(x)\\,f(y) \\)\uff0c\u5e76\u4e14\u4e0d\u6052\u7b49\u4e8e\u96f6\u3002\u8fd9\u4e2a \\( f \\) \u53ef\u80fd\u662f\u4ec0\u4e48\u51fd\u6570\uff1f\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ec4eb4 elementor-widget elementor-widget-html\" data-id=\"8ec4eb4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5148\u4ee4 \\( x = y = 0 \\)\uff0c\u6c42\u51fa \\( f(0) \\)\u3002\u518d\u628a \\(x\\) \u5199\u6210\u4e24\u4e2a \\(\\tfrac{x}{2}\\) \u7684\u548c\uff0c\u8bc1\u660e \\( f(x) \\) \u6c38\u4e0d\u4e3a\u8d1f\uff0c\u5e76\u60f3\u4e00\u60f3\uff1a\u54ea\u4e2a\u5e38\u89c1\u7684\u51fd\u6570\u65cf\u80fd\u628a\u81ea\u53d8\u91cf\u7684\u76f8\u52a0\u53d8\u6210\u51fd\u6570\u503c\u7684\u76f8\u4e58\uff1f<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-efdb8e3 e-con e-atomic-element e-flexbox-base e-default-div e-efdb8e3-743cefc \" data-id=\"efdb8e3\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"efdb8e3\" data-e-type=\"e-flexbox\" data-id=\"efdb8e3\">\n    \t\t<div class=\"elementor-element elementor-element-1be6219 elementor-widget elementor-widget-text-editor\" data-id=\"1be6219\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c 13 \u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25f0d8a elementor-widget elementor-widget-html\" data-id=\"25f0d8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u6c42 \\[ \\frac{1}{1\\cdot 2} + \\frac{1}{2\\cdot 3} + \\cdots + \\frac{1}{n(n+1)}. \\]\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3438c43 elementor-widget elementor-widget-html\" data-id=\"3438c43\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u4f7f\u7528\u90e8\u5206\u5206\u5f0f\u5206\u89e3\u901a\u9879\uff1a\\( \\tfrac{1}{k(k+1)} = \\tfrac{1}{k} - \\tfrac{1}{k+1} \\)\u3002\u5c06\u6c42\u548c\u5f0f\u6309\u6b64\u5c55\u5f00\uff0c\u89c2\u5bdf\u54ea\u4e9b\u9879\u76f8\u4e92\u62b5\u6d88\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-99604f6 e-con e-atomic-element e-flexbox-base e-default-div e-99604f6-6c60a67 \" data-id=\"99604f6\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"99604f6\" data-e-type=\"e-flexbox\" data-id=\"99604f6\">\n    \t\t<div class=\"elementor-element elementor-element-b5e0b0f elementor-widget elementor-widget-text-editor\" data-id=\"b5e0b0f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u989814<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c8f53e5 elementor-widget elementor-widget-html\" data-id=\"c8f53e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u753b\u51fa \\( y = x^{x} \\) \u5728 \\( x > 0 \\) \u65f6\u7684\u56fe\u50cf\u3002\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-73a9823 elementor-widget elementor-widget-html\" data-id=\"73a9823\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u4ee4 \\( y = e^{x \\ln x} \\)\uff0c\u7136\u540e\u7528\u94fe\u5f0f\u6cd5\u5219\u6c42\u5bfc\u4ee5\u627e\u5230\u6781\u503c\u70b9\u3002\u63a5\u7740\u8003\u5bdf\u5f53 \\(x\\) \u4ece\u53f3\u4fa7\u8d8b\u8fd1 0 \u65f6\u4ee5\u53ca\u5f53 \\(x\\) \u53d8\u5f97\u5f88\u5927\u65f6\u7684\u51fd\u6570\u884c\u4e3a\uff0c\u5e76\u5c06\u5404\u90e8\u5206\u62fc\u6210\u4e00\u6761\u5b8c\u6574\u7684\u66f2\u7ebf\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-889f35f e-con e-atomic-element e-flexbox-base e-default-div e-889f35f-096772e \" data-id=\"889f35f\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"889f35f\" data-e-type=\"e-flexbox\" data-id=\"889f35f\">\n    \t\t<div class=\"elementor-element elementor-element-3adb5bf elementor-widget elementor-widget-text-editor\" data-id=\"3adb5bf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c15\u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a21eae1 elementor-widget elementor-widget-html\" data-id=\"a21eae1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u753b\u51fa \\( y = \\dfrac{\\sin x}{x} \\) \u7684\u8349\u56fe\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6086be0 elementor-widget elementor-widget-html\" data-id=\"6086be0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u8fd9\u662f\u4e00\u4e2a\u5076\u51fd\u6570\uff0c\u56e0\u6b64\u53ea\u9700\u5206\u6790 \\(x > 0\\) \u7684\u60c5\u51b5\uff0c\u518d\u4f5c\u5bf9\u79f0\u5373\u53ef\u3002\u6c42\u51fa \\(x \\to 0\\) \u65f6\u5b83\u8d8b\u8fd1\u7684\u503c\uff0c\u786e\u5b9a\u96f6\u70b9\uff0c\u5e76\u6ce8\u610f\u632f\u8361\u7684\u5e45\u5ea6\u7531 \\( \\tfrac{1}{x} \\) \u63a7\u5236\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-bd01986 e-con e-atomic-element e-flexbox-base e-default-div e-bd01986-87345d9 \" data-id=\"bd01986\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"bd01986\" data-e-type=\"e-flexbox\" data-id=\"bd01986\">\n    \t\t<div class=\"elementor-element elementor-element-decc196 elementor-widget elementor-widget-text-editor\" data-id=\"decc196\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u9898 16<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0c12dfa elementor-widget elementor-widget-html\" data-id=\"0c12dfa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u753b\u51fa\u66f2\u7ebf \\( y^{2} = x^{3} - x \\)\u3002\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5fbdd76 elementor-widget elementor-widget-html\" data-id=\"5fbdd76\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u7531\u4e8e \\( y^2 \\) \u4e0d\u80fd\u4e3a\u8d1f\uff0c\u5148\u627e\u51fa \\( x^3 - x \\) \u4e3a\u975e\u8d1f\u7684\u8303\u56f4\uff1b\u8fd9\u51b3\u5b9a\u4e86\u54ea\u4e9b \\(x\\) \u503c\u53ef\u53d6\u3002\u66f2\u7ebf\u5173\u4e8e \\(x\\) \u8f74\u5bf9\u79f0\u3002\u89c2\u5bdf \\( y = 0 \\) \u7684\u4f4d\u7f6e\uff0c\u4ee5\u53ca\u53ef\u53d6\u533a\u57df\u7684\u5f62\u6001\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-12f48cf e-con e-atomic-element e-flexbox-base e-default-div e-12f48cf-4902b7a \" data-id=\"12f48cf\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"12f48cf\" data-e-type=\"e-flexbox\" data-id=\"12f48cf\">\n    \t\t<div class=\"elementor-element elementor-element-8bb23aa elementor-widget elementor-widget-text-editor\" data-id=\"8bb23aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u9898 17<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7e8e01e elementor-widget elementor-widget-html\" data-id=\"7e8e01e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8ba1\u7b97 \\[ \\int_{0}^{\\infty} x\\,e^{-x^{2}}\\,dx \\qquad\\text{\u548c}\\qquad \\int_{0}^{\\infty} x^{3}\\,e^{-x^{2}}\\,dx. \\]\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dc95961 elementor-widget elementor-widget-html\" data-id=\"dc95961\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5bf9\u4e8e\u7b2c\u4e00\u4e2a\u79ef\u5206\uff0c\u4f5c\u4ee3\u6362 \\( u = x^2 \\) \u53ef\u5c06\u5176\u5316\u4e3a\u6807\u51c6\u7684\u6307\u6570\u79ef\u5206\u3002\u5bf9\u4e8e\u7b2c\u4e8c\u4e2a\u79ef\u5206\uff0c\u540c\u6837\u7684\u4ee3\u6362\u4f1a\u7559\u4e0b\u4e00\u4e2a\u989d\u5916\u7684\u56e0\u5b50 \\( x^2 = u \\)\uff0c\u4e4b\u540e\u7528\u5206\u90e8\u79ef\u5206\u5373\u53ef\u5b8c\u6210\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-263b836 e-con e-atomic-element e-flexbox-base e-default-div e-263b836-03daa18 \" data-id=\"263b836\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"263b836\" data-e-type=\"e-flexbox\" data-id=\"263b836\">\n    \t\t<div class=\"elementor-element elementor-element-0407a70 elementor-widget elementor-widget-text-editor\" data-id=\"0407a70\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u9898 18<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dfac6ff elementor-widget elementor-widget-html\" data-id=\"dfac6ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u65b9\u7a0b \\( 2^{x} = x^{2} \\) \u6709\u591a\u5c11\u4e2a\u5b9e\u6570\u89e3\uff1f\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-99d61f8 elementor-widget elementor-widget-html\" data-id=\"99d61f8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5728\u540c\u4e00\u5750\u6807\u7cfb\u4e2d\u753b\u51fa \\( y = 2^x \\) \u548c \\( y = x^2 \\) \u7684\u8349\u56fe\uff0c\u6570\u4e00\u6570\u5b83\u4eec\u76f8\u4ea4\u7684\u4f4d\u7f6e\u3002\u8bd5\u51e0\u4e2a\u5c0f\u7684\u6574\u6570\u5c31\u80fd\u8f7b\u677e\u627e\u5230\u4e24\u4e2a\u4ea4\u70b9\uff1b\u7b2c\u4e09\u4e2a\u4ea4\u70b9\u9700\u8981\u4f60\u8003\u8651\u8d1f\u7684 \\(x\\)\uff0c\u6b64\u65f6\u4e00\u6761\u66f2\u7ebf\u4fdd\u6301\u4e3a\u6b63\uff0c\u53e6\u4e00\u6761\u5219\u5728\u4e0a\u5347\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-c4d9b1e e-con e-atomic-element e-flexbox-base e-default-div e-c4d9b1e-d85ced5 \" data-id=\"c4d9b1e\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"c4d9b1e\" data-e-type=\"e-flexbox\" data-id=\"c4d9b1e\">\n    \t\t<div class=\"elementor-element elementor-element-58ef995 elementor-widget elementor-widget-text-editor\" data-id=\"58ef995\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u95ee\u9898 19<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7d45a2e elementor-widget elementor-widget-html\" data-id=\"7d45a2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\\( i^{\\,i} \\) \u7b49\u4e8e\u591a\u5c11\uff1f\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24a0360 elementor-widget elementor-widget-html\" data-id=\"24a0360\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u628a \\(i\\) \u5199\u6210 \\( e^{i\\theta} \\) \u7684\u5f62\u5f0f\uff0c\u9009\u53d6\u5408\u9002\u7684\u89d2\u5ea6\uff0c\u7136\u540e\u5bf9\u5b83\u53d6 \\(i\\) \u6b21\u5e42\u3002\u6ce8\u610f\u5f53\u6307\u6570\u4e2d\u7684 \\(i\\) \u4e0e \\(i\\) \u76f8\u4e58\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\uff0c\u5e76\u8bb0\u4f4f\u89d2\u5ea6\u7684\u53d6\u6cd5\u4e0d\u6b62\u4e00\u79cd\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-element elementor-element-1b4b6f4 e-con e-atomic-element e-flexbox-base e-default-div e-1b4b6f4-374a7c0 \" data-id=\"1b4b6f4\" data-element_type=\"e-flexbox\" data-e-type=\"e-flexbox\" data-interaction-id=\"1b4b6f4\" data-e-type=\"e-flexbox\" data-id=\"1b4b6f4\">\n    \t\t<div class=\"elementor-element elementor-element-8a9e94e elementor-widget elementor-widget-text-editor\" data-id=\"8a9e94e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong>\u7b2c20\u9898<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-031a334 elementor-widget elementor-widget-html\" data-id=\"031a334\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\u8ba1\u7b97 \\[ \\int_{0}^{\\pi\/2} \\frac{dx}{1 + \\tan x}. \\]\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3b00848 elementor-widget elementor-widget-html\" data-id=\"3b00848\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<!-- Q20 -->\n<details class=\"hint\"><summary>\u663e\u793a\u63d0\u793a<\/summary><div class=\"hint-body\">\n<p>\u5728\u8fd9\u4e2a\u533a\u95f4\u4e0a\u4f5c\u6362\u5143\uff0c\u628a \\(x\\) \u6362\u6210 \\( \\tfrac{\\pi}{2} - x \\)\uff0c\u518d\u628a\u65b0\u5f97\u5230\u7684\u79ef\u5206\u4e0e\u539f\u79ef\u5206\u76f8\u52a0\u3002\u4e24\u8005\u5408\u5e76\u540e\u4f1a\u53d8\u5f97\u975e\u5e38\u7b80\u5355\uff0c\u7ed3\u679c\u53ef\u4ee5\u76f4\u63a5\u8bfb\u51fa\u3002<\/p>\n<\/div><\/details>\t\t\t\t<\/div>\n\t\t\n<\/div>\n\t\t<div class=\"elementor-element elementor-element-aa05727 elementor-widget elementor-widget-spacer\" data-id=\"aa05727\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-iqpc11 clv-iqp-form clv-postpage e-con-full e-flex e-con e-parent\" data-id=\"iqpc11\" data-element_type=\"container\" data-e-type=\"container\" id=\"enquire\">\n\t\t<div class=\"elementor-element elementor-element-iqpc10 clv-iqp-formgrid e-con-full e-flex e-con e-parent\" data-id=\"iqpc10\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-iqpc7 clv-iqp-pitch e-con-full e-flex e-con e-parent\" data-id=\"iqpc7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-iqph3 elementor-widget elementor-widget-html\" data-id=\"iqph3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<div class=\"clv-iqp-eyebrow\">\u9762\u8bd5\u51c6\u5907<\/div>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-iqpt4 clv-iqp-h2 elementor-widget elementor-widget-heading\" data-id=\"iqpt4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u63d0\u793a\u53ea\u662f\u5e2e\u4f60\u5f00\u4e2a\u5934\uff0c\u9762\u8bd5\u624d\u662f\u6700\u96be\u7684\u73af\u8282\u3002<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-iqpx5 clv-iqp-p elementor-widget elementor-widget-text-editor\" data-id=\"iqpx5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>\u544a\u8bc9\u6211\u4eec\u4f60\u76ee\u524d\u7684\u8fdb\u5ea6\uff0c\u6211\u4eec\u4f1a\u5982\u5b9e\u544a\u8bc9\u4f60\u54ea\u4e9b\u51c6\u5907\u4f1a\u6709\u5e2e\u52a9 &mdash; \u5305\u62ec\u6211\u4eec\u662f\u5426\u8ba4\u4e3a\u4f60\u6839\u672c\u4e0d\u9700\u8981\u51c6\u5907\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-iqph6 elementor-widget elementor-widget-html\" data-id=\"iqph6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<div class=\"clv-iqp-reassure\"><div><span>&mdash;<\/span><span>\u7531\u4f60\u7533\u8bf7\u4e13\u4e1a\u7684\u6bd5\u4e1a\u751f\u8fdb\u884c\u6a21\u62df\u9762\u8bd5\u3002<\/span><\/div><div><span>&mdash;<\/span><span>\u56de\u590d\u4f60\u7684\u662f\u987e\u95ee\uff0c\u800c\u4e0d\u662f\u9500\u552e\u56e2\u961f\u3002<\/span><\/div><div><span>&mdash;<\/span><span>\u5982\u679c\u6211\u4eec\u8ba4\u4e3a\u4f60\u4e0d\u9700\u8981\u6211\u4eec\uff0c\u6211\u4eec\u4f1a\u76f4\u8a00\u76f8\u544a\u3002<\/span><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f12479f clv-iqp-p clv-iqp-wa elementor-widget__width-inherit elementor-widget elementor-widget-text-editor\" data-id=\"f12479f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>\u60f3\u76f4\u63a5\u54a8\u8be2\uff1f\u8bf7\u901a\u8fc7 WhatsApp \u8054\u7cfb\u6211\u4eec\uff1a<a href=\"https:\/\/wa.me\/447404929213?text=%E6%82%A8%E5%A5%BD%EF%BC%8C%E6%88%91%E6%83%B3%E5%92%A8%E8%AF%A2%E5%85%B3%E4%BA%8E%E7%94%B3%E8%AF%B7%E7%9A%84%E9%97%AE%E9%A2%98%E3%80%82\" style=\"white-space:nowrap;text-decoration:none;\" rel=\"noopener\">+44 7404 929213<\/a>\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-iqpc9 clv-iqp-card clv-formcard e-con-full e-flex e-con e-parent\" data-id=\"iqpc9\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-iqps8 elementor-widget elementor-widget-shortcode\" data-id=\"iqps8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\">\n<div class=\"wpcf7 no-js\" id=\"wpcf7-f6696-o1\" lang=\"en-US\" dir=\"ltr\" data-wpcf7-id=\"6696\">\n<div class=\"screen-reader-response\"><p role=\"status\" aria-live=\"polite\" aria-atomic=\"true\"><\/p> <ul><\/ul><\/div>\n<form action=\"\/zh-hans\/wp-json\/wp\/v2\/pages\/2878#wpcf7-f6696-o1\" method=\"post\" class=\"wpcf7-form init wpcf7-acceptance-as-validation\" aria-label=\"Contact form\" novalidate=\"novalidate\" data-status=\"init\">\n<fieldset class=\"hidden-fields-container\"><input type=\"hidden\" name=\"_wpcf7\" value=\"6696\" \/><input type=\"hidden\" name=\"_wpcf7_version\" value=\"6.1.7\" \/><input type=\"hidden\" name=\"_wpcf7_locale\" value=\"en_US\" \/><input type=\"hidden\" name=\"_wpcf7_unit_tag\" value=\"wpcf7-f6696-o1\" \/><input type=\"hidden\" name=\"_wpcf7_container_post\" value=\"0\" \/><input type=\"hidden\" name=\"_wpcf7_posted_data_hash\" value=\"\" \/>\n<\/fieldset>\n<div class=\"cf7-row\">\n\t<div class=\"cf7-col\">\n\t\t<p><label>First Name <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"firstname\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" autocomplete=\"given-name\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"firstname\" \/><\/span><\/label>\n\t\t<\/p>\n\t<\/div>\n\t<div class=\"cf7-col\">\n\t\t<p><label>Last Name <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"lastname\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" autocomplete=\"family-name\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"lastname\" \/><\/span><\/label>\n\t\t<\/p>\n\t<\/div>\n<\/div>\n<p><label>Email Address <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"your-email\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-email wpcf7-validates-as-required wpcf7-text wpcf7-validates-as-email\" autocomplete=\"email\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"email\" name=\"your-email\" \/><\/span><\/label>\n<\/p>\n<p><label>Phone Number <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"sms\"><input size=\"40\" class=\"wpcf7-form-control wpcf7-phonetext wpcf7-validates-as-required wpcf7-text wpcf7-validates-as-phonetext\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"sms\" \/><input type=\"hidden\" name=\"sms-country-code\" class=\"wpcf7-phonetext-country-code\" \/><\/span><\/label>\n<\/p>\n<p><label>Current School Name <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"school_name\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"school_name\" \/><\/span><\/label>\n<\/p>\n<div class=\"cf7-row\">\n\t<div class=\"cf7-col\">\n\t\t<p><label>I am a <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"enquirer_type\"><select class=\"wpcf7-form-control wpcf7-select wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\" name=\"enquirer_type\"><option value=\"\">Select one<\/option><option value=\"Student\">Student<\/option><option value=\"Parent or guardian\">Parent or guardian<\/option><option value=\"Teacher or adviser\">Teacher or adviser<\/option><\/select><\/span><\/label>\n\t\t<\/p>\n\t<\/div>\n\t<div class=\"cf7-col\">\n\t\t<p><label>Interview stage <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"interview_timing\"><select class=\"wpcf7-form-control wpcf7-select wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\" name=\"interview_timing\"><option value=\"\">Select one<\/option><option value=\"Not yet applied\">Not yet applied<\/option><option value=\"Applied, waiting to hear\">Applied, waiting to hear<\/option><option value=\"Invited to interview\">Invited to interview<\/option><option value=\"Already interviewed\">Already interviewed<\/option><\/select><\/span><\/label>\n\t\t<\/p>\n\t<\/div>\n<\/div>\n<p><label>Target course and university <span class=\"required-asterisk\">*<\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"target_course\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\" placeholder=\"For example: Cambridge Economics, Oxford Physics\" value=\"\" type=\"text\" name=\"target_course\" \/><\/span><\/label>\n<\/p>\n<p><label>What are you finding hardest about interview preparation?<br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"your-message\"><textarea cols=\"40\" rows=\"4\" maxlength=\"2000\" class=\"wpcf7-form-control wpcf7-textarea\" aria-invalid=\"false\" placeholder=\"Thinking aloud, unfamiliar problems, nerves, or something else. A sentence is enough.\" name=\"your-message\"><\/textarea><\/span><\/label>\n<\/p>\n<div class=\"cf7-consent\">\n\t<p><span class=\"wpcf7-form-control-wrap\" data-name=\"consent\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><label><input type=\"checkbox\" name=\"consent\" value=\"1\" aria-invalid=\"false\" \/><span class=\"wpcf7-list-item-label\">I have read the <a href=\"https:\/\/claviseducation.com\/zh-hans\/%e9%9a%90%e7%a7%81%e6%94%bf%e7%ad%96\/\">Privacy Policy<\/a> and understand how my details will be used. <span class=\"required-asterisk\">*<\/span><\/span><\/label><\/span><\/span><\/span><br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"marketing_consent\"><span class=\"wpcf7-form-control wpcf7-acceptance optional\"><span class=\"wpcf7-list-item\"><label><input type=\"checkbox\" name=\"marketing_consent\" value=\"1\" aria-invalid=\"false\" \/><span class=\"wpcf7-list-item-label\">Please also send me occasional admissions guidance and deadline reminders by email. You can unsubscribe at any time.<\/span><\/label><\/span><\/span><\/span>\n\t<\/p>\n<\/div>\n<p><input class=\"wpcf7-form-control wpcf7-submit has-spinner\" type=\"submit\" value=\"Book a free consultation\" \/>\n<\/p><div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div>\n<\/form>\n<\/div>\n<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-90c2528 e-con-full e-flex e-con e-child\" data-id=\"90c2528\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-94f6343 elementor-widget elementor-widget-heading\" data-id=\"94f6343\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title 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class=\"elementor-heading-title elementor-size-default\">TMUA \u6a21\u62df\u6d4b\u8bd5<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1178284 elementor-widget elementor-widget-text-editor\" data-id=\"1178284\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>\u5728\u9650\u65f6\u6761\u4ef6\u4e0b\u4f7f\u7528\u539f\u521b\u65b0\u9898\u7ec3\u4e60 TMUA\uff0c\u5e76\u5373\u65f6\u8bc4\u5206\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b8b07f8 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"b8b07f8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/claviseducation.com\/zh-hans\/%e8%b5%84%e6%ba%90\/%e5%85%a5%e5%ad%a6%e8%80%83%e8%af%95%e8%b5%84%e6%ba%90\/tmua-%e6%a8%a1%e6%8b%9f%e6%b5%8b%e8%af%95\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">\u524d\u5f80 TMUA \u6a21\u62df\u6d4b\u8bd5<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-539be8d e-con-full e-flex e-con e-child\" data-id=\"539be8d\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ab5435d elementor-widget elementor-widget-heading\" data-id=\"ab5435d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">\u725b\u6d25\u4e0e\u5251\u6865\u7533\u8bf7<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-34f08e2 elementor-widget elementor-widget-text-editor\" data-id=\"34f08e2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>\u7531\u5251\u6865\u6bd5\u4e1a\u751f\u63d0\u4f9b\u7684\u725b\u5251\u4e00\u7ad9\u5f0f\u5907\u8003\u670d\u52a1\uff0c\u5305\u62ec\u9762\u8bd5\u8f85\u5bfc\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2103843 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2103843\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/claviseducation.com\/services\/oxbridge-and-uk-university-admissions\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">\u4e86\u89e3\u6211\u4eec\u7684\u725b\u5251\u670d\u52a1<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7d2422e elementor-widget elementor-widget-spacer\" data-id=\"7d2422e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u5341\u9053\u771f\u5b9e\u96be\u5ea6\u7684\u6570\u5b66\u9898\uff0c\u5e2e\u52a9\u4f60\u4e3a\u9762\u8bd5\u505a\u597d\u51c6\u5907\uff0c\u7531\u6211\u4eec\u7684\u725b\u5251\u6bd5\u4e1a\u7684\u5bfc\u5e08\u7f16\u5199\u5e76\u914d\u56fe\u3002 \u95ee\u98981 \u8bc1\u660e\u5bf9\u4e8e\u4efb\u610f\u6574\u6570 ( [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2878","page","type-page","status-publish","hentry"],"blocksy_meta":{"styles_descriptor":{"styles":{"desktop":"","tablet":"","mobile":""},"google_fonts":[],"version":8}},"_links":{"self":[{"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/pages\/2878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/comments?post=2878"}],"version-history":[{"count":3,"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/pages\/2878\/revisions"}],"predecessor-version":[{"id":6915,"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/pages\/2878\/revisions\/6915"}],"wp:attachment":[{"href":"https:\/\/claviseducation.com\/zh-hans\/wp-json\/wp\/v2\/media?parent=2878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}