{"id":32636,"date":"2024-05-17T11:34:14","date_gmt":"2024-05-17T03:34:14","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=32636"},"modified":"2025-08-20T15:10:19","modified_gmt":"2025-08-20T07:10:19","slug":"hardest-math-questions","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/hardest-math-questions-post-32636\/","title":{"rendered":"\u5c0f\u5b66\u6570\u5b66\u4e94\u5927\u96be\u9898\u76d8\u70b9\uff1a\u8ba9\u6d77\u5916\u5b69\u5b50\u6bcf\u6b21\u8003\u8bd5\uff0c\u90fd\u662f\u6ee1\u5206\uff01"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\u5728\u5f53\u4eca\u7ade\u4e89\u6fc0\u70c8\u7684\u5b66\u4e60\u538b\u529b\u4e0b\uff0c<a href=\"https:\/\/www.wukongsch.com\/zh\/math\/\">\u6570\u5b66<\/a>\u6210\u4e3a\u4e86\u5c0f\u5b66\u751f\u4eec\u4e0d\u5f97\u4e0d\u9762\u4e34\u7684\u4e00\u5927\u6311\u6218\u3002\u5c3d\u7ba1\u6570\u5b66\u662f\u5efa\u7acb\u903b\u8f91\u601d\u7ef4\u548c\u89e3\u51b3\u95ee\u9898\u80fd\u529b\u7684\u5173\u952e\u5b66\u79d1\uff0c\u4f46\u4e0d\u5c11\u5b69\u5b50\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u906d\u9047\u4e86\u96be\u4ee5\u7a81\u7834\u7684\u96be\u70b9\u3002\u672c\u6587\u5c06\u6df1\u5165\u63a2\u8ba8\u5c0f\u5b66\u6570\u5b66\u4e94\u5927\u96be\u9898\uff0c\u76ee\u7684\u4e0d\u4ec5\u4ec5\u662f\u63ed\u793a\u8fd9\u4e9b\u96be\u9898\u672c\u8d28\uff0c\u66f4\u662f\u4e3a\u4e86\u5e2e\u52a9\u5bb6\u957f\u4eec\u7406\u89e3\u5b69\u5b50\u5728\u5b66\u4e60\u6570\u5b66\u8fc7\u7a0b\u4e2d\u7684\u65e0\u52a9\uff0c\u4ece\u800c\u63d0\u4f9b\u6709\u6548\u7684\u5bb6\u5ead\u8f85\u5bfc\u7b56\u7565\u3002\n\n<img decoding=\"async\" class=\"aligncenter wp-image-32700 size-full\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2025\/05\/math-Olympic-bg.jpg\" alt=\"\u5c0f\u5b66\u5965\u6797\u5339\u514b\u6570\u5b66\" width=\"800\" height=\"448\" \/>\n\n\u901a\u8fc7\u8fd9\u7bc7\u6587\u7ae0\uff0c\u6211\u4eec\u5e0c\u671b\u6bcf\u4f4d\u5bb6\u957f\uff0c\u90fd\u80fd\u6210\u4e3a\u5b69\u5b50\u5b66\u4e60\u65c5\u7a0b\u4e2d\u7684\u5f97\u529b\u52a9\u624b\uff0c\u8ba9\u5b69\u5b50\u5728\u6bcf\u4e00\u6b21\u8003\u8bd5\u4e2d\u90fd\u80fd\u591f\u83b7\u5f97\u4f18\u5f02\u7684\u6210\u7ee9\uff0c\u751a\u81f3\u662f\u6ee1\u5206\u3002\u63a5\u4e0b\u6765\uff0c\u8ba9\u6211\u4eec\u4e00\u8d77\u76d8\u70b9\u90a3\u4e9b\u8ba9\u65e0\u6570\u5b66\u751f\u5934\u75bc\u7684<a href=\"https:\/\/baike.baidu.com\/item\/%E5%B0%8F%E5%AD%A6%E6%95%B0%E5%AD%A6%E9%9A%BE%E9%A2%98%E5%A4%A7%E5%85%A8\/12142694\">\u6570\u5b66\u96be\u9898<\/a>\uff0c\u627e\u51fa\u89e3\u51b3\u529e\u6cd5\u3002\n<h2><span class=\"ez-toc-section\" id=\"%e5%b0%8f%e5%ad%a6%e6%95%b0%e5%ad%a65%e5%a4%a7%e9%9a%be%e9%a2%98\"><\/span>\u5c0f\u5b66\u6570\u5b665\u5927\u96be\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\u4e0e\u4e4b\u524d\u4e0d\u540c\uff0c\u5982\u4eca\u7684\u5c0f\u5b66\u6570\u5b66\u9898\u5728\u9898\u76ee\u8bbe\u8ba1\u4e0a\uff0c\u4e0d\u4f46\u8ba9\u5b69\u5b50\u4eec\u4e0d\u77e5\u6240\u63aa\uff0c\u5f88\u591a\u5bb6\u957f\u5728\u9762\u5bf9\u8fd9\u4e9b\u96be\u9898\u7684\u65f6\u5019\uff0c\u4e5f\u662f\u5e38\u5e38\u65e0\u4ece\u4e0b\u624b\u3002\u73b0\u5728\u7684\u6570\u5b66\u6559\u80b2\uff0c\u5df2\u7ecf\u4ece\u8ffd\u6c42\u57fa\u672c\u7684\u6570\u5b66\u6982\u5ff5\u548c\u516c\u5f0f\uff0c\u5f00\u59cb\u5411\u63d0\u5347\u5b69\u5b50\u903b\u8f91\u601d\u7ef4\u80fd\u529b\u53d1\u5c55\u3002\n\n<img decoding=\"async\" class=\"aligncenter wp-image-32702 size-full\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2025\/05\/0e3d73b68dd041d3885cebb0f.jpeg\" alt=\"\" width=\"864\" height=\"486\" \/>\n\n\u6240\u4ee5\uff0c\u5f88\u591a\u6240\u8c13\u7684\u201c\u5947\u8469\u201d\u9898\u76ee\u5c42\u51fa\u4e0d\u7a77\u3002\u5176\u5b9e\uff0c\u5e38\u89c1\u7684\u516c\u8ba4\u8f83\u96be\u6c42\u89e3\u7684\u7c7b\u9898\u4e3b\u8981\u5305\u62ec\uff1a<strong>\u5206\u6570\u8fd0\u7b97\u3001\u6587\u5b57\u903b\u8f91\u63a8\u7406\u3001\u6570\u5217\u3001\u51e0\u4f55\u95ee\u9898\u4ee5\u53ca\u7efc\u5408\u5e94\u7528\u9898<\/strong>\u3002\u4e0b\u9762\u8ba9\u6211\u4eec\u4e3e\u4f8b\u8bf4\u660e\uff0c\u8fd9\u4e9b\u9898\u76ee\u5e94\u8be5\u5982\u4f55\u6b63\u786e\u89e3\u7b54\u3002\n<h3>1. \u9ad8\u7ea7\u5206\u6570\u8fd0\u7b97<\/h3>\n\u8fd9\u7c7b\u9898\u76ee\u8981\u6c42\u5b66\u751f\u5904\u7406\u6d89\u53ca\u591a\u4e2a\u5206\u6570\u7684\u590d\u6742\u8fd0\u7b97\uff0c\u901a\u5e38\u5305\u62ec\u4e0d\u540c\u5206\u6bcd\u7684\u5206\u6570\u7684\u52a0\u3001\u51cf\u3001\u4e58\u3001\u9664\u3002\u5b66\u751f\u9700\u8981\u638c\u63e1\u5206\u6570\u7684\u57fa\u672c\u6027\u8d28\uff0c\u5982\u4f55\u6c42\u6700\u5c0f\u516c\u500d\u6570\u3001\u5982\u4f55\u5316\u7b80\u5206\u6570\u7b49\u3002\n\n<strong>\u9898\u76ee\uff1a<\/strong>\n<blockquote><span style=\"color: #759ee6;\"><strong>\u5982\u679c\u4e00\u4e2a\u73ed\u7ea7\u91cc\u67092\/3\u7684\u5b66\u751f\u559c\u6b22\u8db3\u7403\uff0c\u5176\u4e2d1\/2\u53c8\u540c\u65f6\u559c\u6b22\u7bee\u7403\uff0c\u95ee\u8fd9\u4e2a\u73ed\u7ea7\u4e2d\u559c\u6b22\u7bee\u7403\u7684\u5b66\u751f\u5360\u603b\u4eba\u6570\u7684\u6bd4\u4f8b\u662f\u591a\u5c11\uff1f<\/strong><\/span><\/blockquote>\n<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\n\n1. \u786e\u5b9a\u540c\u65f6\u559c\u6b22\u8db3\u7403\u548c\u7bee\u7403\u7684\u5b66\u751f\u6bd4\u4f8b\uff1a\u53ef\u4ee5\u5c06\u559c\u6b22\u8db3\u7403\u7684\u6bd4\u4f8b\uff082\/3\uff09\uff0c\u4e58\u4ee5\u540c\u65f6\u559c\u6b22\u7bee\u7403\u7684\u6bd4\u4f8b\uff081\/2\uff09\u5f97\u5230\u3002\n2. \u8ba1\u7b97\uff1a(2\/3) * (1\/2) = 2\/6 = 1\/3\u3002\n3. \u56e0\u6b64\uff0c\u559c\u6b22\u7bee\u7403\u7684\u5b66\u751f\u5360\u603b\u4eba\u6570\u7684\u6bd4\u4f8b\u662f1\/3\u3002\n<h3>2. \u590d\u6742\u7684\u6587\u5b57\u903b\u8f91\u95ee\u9898<\/h3>\n\u8fd9\u7c7b\u95ee\u9898\u9700\u8981\u5b66\u751f\u9605\u8bfb\u548c\u7406\u89e3\u590d\u6742\u7684\u6587\u5b57\u63cf\u8ff0\uff0c\u5e76\u57fa\u4e8e\u8fd9\u4e9b\u63cf\u8ff0\u89e3\u51b3\u6570\u5b66\u95ee\u9898\u3002\u5b83\u4eec\u901a\u5e38\u6d89\u53ca\u591a\u4e2a\u53d8\u91cf\u548c\u6761\u4ef6\uff0c\u8981\u6c42\u5b66\u751f\u8fdb\u884c\u903b\u8f91\u63a8\u7406\u5e76\u4e14\u5efa\u7acb\u6570\u5b66\u6a21\u578b\u3002\n\n<strong>\u9898\u76ee\uff1a<\/strong>\n<blockquote><span style=\"color: #759ee6;\"><strong>\u5c0f\u660e\u3001\u5c0f\u7ea2\u548c\u5c0f\u521a\u4e00\u5171\u670925\u672c\u4e66\u3002\u5c0f\u660e\u6bd4\u5c0f\u7ea2\u591a3\u672c\u4e66\uff0c\u5c0f\u7ea2\u6bd4\u5c0f\u521a\u591a5\u672c\u4e66\u3002\u6c42\u6bcf\u4eba\u5404\u6709\u591a\u5c11\u672c\u4e66\uff1f<\/strong><\/span><\/blockquote>\n<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\n<ol>\n \t<li>\u8bbe\u5c0f\u521a\u6709x\u672c\u4e66\uff0c\u5219\u5c0f\u7ea2\u6709x+5\u672c\uff0c\u5c0f\u660e\u6709x+5+3 = x+8\u672c\u3002<\/li>\n \t<li>\u6839\u636e\u9898\u76ee\u6761\u4ef6\uff0c\u4e09\u4eba\u7684\u4e66\u7684\u603b\u6570\u662f27\u672c\u3002\u5efa\u7acb\u65b9\u7a0b\uff1ax + (x+5) + (x+8) = 27\u3002<\/li>\n \t<li>\u89e3\u65b9\u7a0b\uff1a3x + 13 = 25\uff0c3x = 12\uff0cx = 4\u3002<\/li>\n \t<li>\u6240\u4ee5\u6b63\u786e\u7b54\u6848\u662f\uff1a\u5c0f\u521a4\u672c\uff0c\u5c0f\u7ea29\u672c\uff0c\u5c0f\u660e12\u672c\u3002<\/li>\n<\/ol>\n<h3>3. \u6570\u5217\u4e0e\u89c4\u5f8b<\/h3>\n\u6570\u5217\u662f\u63a2\u7a76\u6570\u4e0e\u6570\u4e4b\u95f4\u5173\u7cfb\u7684\u63a8\u7406\u578b\u9898\u76ee\u3002\u8981\u6c42\u5b66\u751f\u53d1\u73b0\u6570\u5217\u4e2d\u7684\u89c4\u5f8b\uff0c\u5e76\u7528\u8fd9\u4e2a\u89c4\u5f8b\u6765\u89e3\u51b3\u4e00\u7cfb\u5217\u95ee\u9898\u3002\u5982\u9884\u6d4b\u6570\u5217\u7684\u4e0b\u4e00\u4e2a\u6570\u5b57\u6216\u6c42\u7279\u5b9a\u4f4d\u7f6e\u7684\u6570\u5b57\u3002\n\n<strong>\u9898\u76ee\uff1a<\/strong>\n<blockquote><strong><span style=\"color: #759ee6;\">\u6570\u52171, 4, 9, 16, ?, 36\u3002\u6c42\u95ee\u53f7\u5904\u7684\u6570\u3002<\/span><\/strong><\/blockquote>\n<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\n<ol>\n \t<li>\u89c2\u5bdf\u6570\u5217\u7684\u73b0\u6709\u6570\u5b57\uff0c\u5c1d\u8bd5\u627e\u51fa\u5b83\u4eec\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u8fd9\u4e9b\u6570\u5b57\u5206\u522b\u662f1, 4, 9, 16, 36\uff0c\u770b\u8d77\u6765\u50cf\u662f\u5e73\u65b9\u6570\u3002<\/li>\n \t<li>\u68c0\u67e5\u6bcf\u4e2a\u6570\u5b57\u662f\u5426\u662f\u8fde\u7eed\u6574\u6570\u7684\u5e73\u65b9\uff1a1 = 1^2, 4 = 2^2, 9 = 3^2, 16 = 4^2, 36 = 6^2\u3002<\/li>\n \t<li>\u53d1\u73b0\u95ee\u53f7\u5e94\u8be5\u662f5^2\uff0c\u56e0\u4e3a\u5b83\u4f4d\u4e8e16\u548c36\u4e4b\u95f4\u3002<\/li>\n \t<li>\u6240\u4ee5\uff0c\u95ee\u53f7\u5904\u7684\u6570\u5b57\u662f25\u3002<\/li>\n<\/ol>\n<h3>4. \u590d\u6742\u7684\u51e0\u4f55\u95ee\u9898<\/h3>\n\u5728\u5c0f\u5b66\u6570\u5b66\u4e2d\uff0c\u51e0\u4f55\u95ee\u9898\u901a\u5e38\u6d89\u53ca\u5230\u8ba1\u7b97\u591a\u8fb9\u5f62\u3001\u5706\u5f62\u7b49\u51e0\u4f55\u56fe\u5f62\u7684\u9762\u79ef\u548c\u5468\u957f\uff0c\u4ee5\u53ca\u5982\u4f55\u5e94\u7528\u51e0\u4f55\u56fe\u5f62\u7684\u7a7a\u95f4\u5c5e\u6027\u3002\u8fd9\u7c7b\u95ee\u9898\u53ef\u80fd\u5305\u62ec\u7ec4\u5408\u56fe\u5f62\uff0c\u9700\u8981\u5b66\u751f\u5206\u89e3\u56fe\u5f62\u5e76\u5206\u522b\u8ba1\u7b97\u5404\u90e8\u5206\u7684\u9762\u79ef\u6216\u5468\u957f\u3002\n\n<strong>\u9898\u76ee\uff1a<\/strong>\n<blockquote><strong><span style=\"color: #759ee6;\">\u60f3\u8c61\u4e00\u4e2a\u56fe\u5f62\uff0c\u7531\u4e00\u4e2a\u6b63\u65b9\u5f62\u548c\u4e00\u4e2a\u5728\u5176\u4e0a\u65b9\u7684\u534a\u5706\u7ec4\u6210\uff0c\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e3a6\u5398\u7c73\u3002\u8981\u6c42\u8ba1\u7b97\u6574\u4e2a\u7ec4\u5408\u56fe\u5f62\u7684\u603b\u9762\u79ef\u548c\u5468\u957f\u3002<\/span><\/strong><\/blockquote>\n<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\n<ol>\n \t<li>\u6b65\u9aa4\u4e00\uff1a\u8ba1\u7b97\u6b63\u65b9\u5f62\u7684\u9762\u79ef\n\u516c\u5f0f\uff1a\u9762\u79ef = \u8fb9\u957f\u00b2\n\u8ba1\u7b97\uff1a\u9762\u79ef = 6\u5398\u7c73 \u00d7 6\u5398\u7c73 = 36\u5e73\u65b9\u5398\u7c73<\/li>\n \t<li>\u6b65\u9aa4\u4e8c\uff1a\u8ba1\u7b97\u534a\u5706\u7684\u9762\u79ef\n\u516c\u5f0f\uff1a\u9762\u79ef = (\u03c0 \u00d7 \u534a\u5f84\u00b2) \/ 2\n\u8ba1\u7b97\uff1a\u534a\u5f84 = \u8fb9\u957f \/ 2 = 6\u5398\u7c73 \/ 2 = 3\u5398\u7c73\n\u9762\u79ef = (\u03c0 \u00d7 (3\u5398\u7c73)\u00b2) \/ 2 = (\u03c0 \u00d7 9) \/ 2 \u2248 14.14\u5e73\u65b9\u5398\u7c73<\/li>\n \t<li>\u6b65\u9aa4\u4e09\uff1a\u8ba1\u7b97\u603b\u9762\u79ef\n\u52a0\u548c\uff1a\u603b\u9762\u79ef = \u6b63\u65b9\u5f62\u9762\u79ef + \u534a\u5706\u9762\u79ef = 36\u5e73\u65b9\u5398\u7c73 + 14.14\u5e73\u65b9\u5398\u7c73 = 50.14\u5e73\u65b9\u5398\u7c73<\/li>\n \t<li>\u6b65\u9aa4\u56db\uff1a\u8ba1\u7b97\u5468\u957f\n\u6b63\u65b9\u5f62\uff1a\u6b63\u65b9\u5f62\u7684\u5468\u957f\u8003\u8651\u56db\u8fb9\uff0c\u4f46\u534a\u5706\u8986\u76d6\u4e86\u4e00\u8fb9\uff0c\u6545\u53ea\u8ba13\u8fb9 = 3 \u00d7 6\u5398\u7c73 = 18\u5398\u7c73\n\u534a\u5706\uff1a\u534a\u5706\u7684\u5468\u957f = \u03c0 \u00d7 \u76f4\u5f84 = \u03c0 \u00d7 6\u5398\u7c73 \u2248 18.84\u5398\u7c73\n\u603b\u5468\u957f\uff1a\u603b\u5468\u957f = \u6b63\u65b9\u5f62\u7684\u4e09\u8fb9\u5468\u957f + \u534a\u573e\u5468\u957f = 18\u5398\u7c73 + 18.84\u5398\u7c73 = 36.84\u5398\u7c73<\/li>\n<\/ol>\n\u6700\u7ec8\u7b54\u6848\n\u603b\u9762\u79ef\uff1a\u7ea650.14\u5e73\u65b9\u5398\u7c73\n\u603b\u5468\u957f\uff1a\u7ea636.84\u5398\u7c73\n\n\u8fd9\u4e2a\u95ee\u9898\u901a\u8fc7\u7ed3\u5408\u6b63\u65b9\u5f62\u548c\u534a\u5706\u5f62\uff0c\u9700\u8981\u5b69\u5b50\u4eec\u7406\u89e3\u5982\u4f55\u5206\u89e3\u56fe\u5f62\u6765\u5355\u72ec\u8ba1\u7b97\u6bcf\u4e2a\u90e8\u5206\u7684\u5c5e\u6027\uff0c\u7136\u540e\u518d\u5408\u7406\u5730\u7ec4\u5408\u8fd9\u4e9b\u8ba1\u7b97\u7ed3\u679c\u3002\u8fd9\u79cd\u9898\u578b\u5bf9\u5c0f\u5b66\u751f\u6765\u8bf4\u662f\u5177\u6709\u4e00\u5b9a\u6311\u6218\u6027\u7684\uff0c\u53ef\u4ee5\u6709\u6548\u5730\u63d0\u9ad8\u4ed6\u4eec\u5bf9\u51e0\u4f55\u6982\u5ff5\u7684\u7406\u89e3\u548c\u5e94\u7528\u80fd\u529b\u3002\n\n<strong>5. \u7efc\u5408\u5e94\u7528\u9898<\/strong>\n\n\u5e94\u7528\u9898\u662f\u5c0f\u5b66\u6570\u5b66\u4e2d\u4e00\u4e2a\u91cd\u8981\u7684\u9898\u578b\uff0c\u901a\u5e38\u6d89\u53ca\u591a\u4e2a\u6570\u5b66\u6982\u5ff5\u7684\u7efc\u5408\u8fd0\u7528\uff0c\u5982\u52a0\u51cf\u4e58\u9664\u3001\u6bd4\u4f8b\u3001\u5206\u6570\u3001\u65f6\u95f4\u3001\u91d1\u94b1\u7b49\u3002\u8fd9\u7c7b\u9898\u76ee\u9700\u8981\u5b66\u751f\u5177\u5907\u826f\u597d\u7684\u903b\u8f91\u601d\u7ef4\u80fd\u529b\u548c\u95ee\u9898\u89e3\u51b3\u80fd\u529b\uff0c\u80fd\u591f\u6839\u636e\u95ee\u9898\u7684\u63cf\u8ff0\uff0c\u62bd\u8c61\u51fa\u6570\u5b66\u95ee\u9898\u5e76\u8fdb\u884c\u8ba1\u7b97\u3002\n\n<strong>\u9898\u76ee\uff1a<\/strong>\n<blockquote><span style=\"color: #759ee6;\"><strong>\u5c0f\u660e\u53bb\u4e66\u5e97\u8d2d\u4e70\u4e66\u7c4d\u3002\u4ed6\u4e70\u4e86\u4e09\u672c\u4e0d\u540c\u7684\u4e66\uff0c\u7b2c\u4e00\u672c\u4e66\u7684\u4ef7\u683c\u662f\u7b2c\u4e8c\u672c\u4e66\u76842\u500d\uff0c\u7b2c\u4e8c\u672c\u4e66\u7684\u4ef7\u683c\u662f\u7b2c\u4e09\u672c\u4e66\u76843\u500d\u3002\u5982\u679c\u5c0f\u660e\u4ed8\u4e86100\u5143\uff0c\u800c\u4e09\u672c\u4e66\u603b\u4ef7\u662f90\u5143\uff0c\u95ee\u6bcf\u4e00\u672c\u4e66\u5bf9\u5e94\u7684\u4ef7\u683c\u662f\u591a\u5c11\u5143\uff1f<\/strong><\/span><\/blockquote>\n<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\n<ol>\n \t<li>\u6b65\u9aa4\u4e00\uff1a\u8bbe\u5b9a\u53d8\u91cf\n\u8bbe\u7b2c\u4e09\u672c\u4e66\u7684\u4ef7\u683c\u4e3a x\u5143\u3002<\/li>\n \t<li>\u6b65\u9aa4\u4e8c\uff1a\u6807\u660e\u5176\u4ed6\u4e24\u672c\u4e66\u7684\u4ef7\u683c\n\u7b2c\u4e8c\u672c\u4e66\u7684\u4ef7\u683c\u4e3a 3x\u5143\u3002\n\u7b2c\u4e00\u672c\u4e66\u7684\u4ef7\u683c\u4e3a 6x\u5143\u3002<\/li>\n \t<li>\u6b65\u9aa4\u4e09\uff1a\u5efa\u7acb\u65b9\u7a0b\n\u6839\u636e\u9898\u76ee\u63cf\u8ff0\uff0c\u4e09\u672c\u4e66\u7684\u603b\u4ef7\u683c\u662f90\u5143\u3002\n\u65b9\u7a0b\u4e3a\uff1ax + 3x + 6x = 90<\/li>\n \t<li>\u6b65\u9aa4\u56db\uff1a\u89e3\u65b9\u7a0b\n\u5408\u5e76\u540c\u7c7b\u9879\uff1a10x = 90\n\u89e3\u51fax = 9\u3002<\/li>\n \t<li>\u6b65\u9aa4\u4e94\uff1a\u8ba1\u7b97\u6bcf\u672c\u4e66\u7684\u4ef7\u683c\n\u7b2c\u4e09\u672c\u4e66\u4ef7\u683c\uff1a9\u5143\u3002\n\u7b2c\u4e8c\u672c\u4e66\u4ef7\u683c\uff1a27 \u5143\u3002\n\u7b2c\u4e00\u672c\u4e66\u4ef7\u683c\uff1a54 \u5143\u3002<\/li>\n<\/ol>\n\u8fd9\u9053\u9898\u76ee\u8003\u9a8c\u5b66\u751f\u7684\u4ee3\u6570\u57fa\u7840\u548c\u95ee\u9898\u89e3\u51b3\u6280\u5de7\uff0c\u901a\u8fc7\u8bbe\u5b9a\u53d8\u91cf\u548c\u89e3\u65b9\u7a0b\u7684\u65b9\u5f0f\uff0c\u9010\u6b65\u89e3\u5f00\u95ee\u9898\uff0c\u540c\u65f6\uff0c\u4e5f\u953b\u70bc\u4e86\u5b69\u5b50\u5bf9\u6570\u5b66\u5728\u751f\u6d3b\u4e2d\u5b9e\u9645\u8fd0\u7528\u7684\u80fd\u529b\u3002\n<h3>\u5199\u5728\u6700\u540e\uff1a<\/h3>\n\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u4e00\u8d77\u603b\u7ed3\u4e86\u5c0f\u5b66\u6570\u5b66\u4e2d\u7684\u4e94\u5927\u96be\u9898\uff0c\u5e76\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u6548\u7684\u89e3\u51b3\u7b56\u7565\u3002\u5e0c\u671b\u901a\u8fc7\u8fd9\u4e9b\u5177\u4f53\u7684\u4f8b\u5b50\uff0c\u5b66\u751f\u548c\u5bb6\u957f\u80fd\u591f\u770b\u5230\u6570\u5b66\u5e76\u4e0d\u662f\u4ee4\u4eba\u671b\u800c\u751f\u754f\u7684\u602a\u517d\uff0c\u800c\u662f\u4e00\u4e2a\u5145\u6ee1\u6311\u6218\u548c\u4e50\u8da3\u7684\u9886\u57df\u3002\u6211\u4eec\u9f13\u52b1\u5927\u5bb6\u4ee5\u79ef\u6781\u7684\u6001\u5ea6\u9762\u5bf9\u6570\u5b66\u95ee\u9898\uff0c\u5c06\u89e3\u51b3\u95ee\u9898\u7684\u8fc7\u7a0b\u770b\u4f5c\u662f\u63a2\u7d22\u548c\u53d1\u73b0\u7684\u65c5\u7a0b\u3002\u8ba9\u6211\u4eec\u4e00\u8d77\u52c7\u6562\u5730\u8fce\u63a5\u6bcf\u4e00\u4e2a\u6570\u5b66\u96be\u9898\uff0c\u4eab\u53d7\u6570\u5b66\u5e26\u6765\u7684\u4e50\u8da3\u548c\u6210\u5c31\u611f\u5427\uff01\n<h2><span class=\"ez-toc-section\" id=\"%e5%85%b6%e4%bb%96%e5%85%b3%e4%ba%8e%e5%b0%8f%e5%ad%a6%e6%95%b0%e5%ad%a6%e7%9a%84%e5%b8%b8%e8%a7%81%e9%97%ae%e9%a2%98%ef%bc%9a\"><\/span>\u5176\u4ed6\u5173\u4e8e\u5c0f\u5b66\u6570\u5b66\u7684\u5e38\u89c1\u95ee\u9898\uff1a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3>\u95ee\u9898\u4e00\uff1a\u5982\u4f55\u5feb\u901f\u8fdb\u884c\u5927\u6570\u52a0\u6cd5\uff1f<\/h3>\n<p class=\"text-body font-regular text-gray-800 leading-[24px] pt-[9px] pb-[2px]\" dir=\"ltr\">\u5b8c\u6210\u5927\u6570\u52a0\u6cd5\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528\u5206\u6b65\u52a0\u6cd5\u7684\u65b9\u6cd5\u3002\u5c06\u6bcf\u4e2a\u6570\u5206\u89e3\u6210\u51e0\u90e8\u5206\uff0c\u7136\u540e\u9010\u6b65\u76f8\u52a0\u3002\u4f8b\u5982\uff1a<\/p>\n\n<ul class=\"pt-[9px] pb-[2px] pl-[24px] list-disc [&amp;_ul]:pt-[5px] pt-[5px]\">\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"1\">\u8ba1\u7b971234 + 5678\uff0c\u53ef\u4ee5\u5206\u89e3\u4e3a(1000 + 200 + 30 + 4) + (5000 + 600 + 70 + 8)<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"2\">\u9010\u6b65\u76f8\u52a0\uff1a1000 + 5000, 200 + 600, 30 + 70, 4 + 8<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"3\">\u518d\u5c06\u7ed3\u679c\u76f8\u52a0\uff1a6000 + 800 + 100 + 12 = 6912<\/li>\n<\/ul>\n<h3>\u95ee\u9898\u4e8c\uff1a\u5982\u4f55\u6b63\u786e\u89e3\u65b9\u7a0b\uff1f<\/h3>\n<p class=\"text-body font-regular text-gray-800 leading-[24px] pt-[9px] pb-[2px]\" dir=\"ltr\">\u89e3\u65b9\u7a0b\u7684\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n\n<ol class=\"pt-[9px] pb-[2px] pl-[24px] [&amp;_ol]:pt-[5px] list-decimal\">\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"1\">\u5c06\u65b9\u7a0b\u4e24\u8fb9\u7684\u5e38\u6570\u9879\u79fb\u5230\u4e00\u8fb9\uff0c\u672a\u77e5\u6570\u9879\u79fb\u5230\u53e6\u4e00\u8fb9\u3002<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"2\">\u5408\u5e76\u540c\u7c7b\u9879\u3002<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"3\">\u6c42\u51fa\u672a\u77e5\u6570\u3002<\/li>\n<\/ol>\n<p class=\"text-body font-regular text-gray-800 leading-[24px] pt-[9px] pb-[2px]\" dir=\"ltr\">\u4f8b\u5982\uff0c\u65b9\u7a0b ( 3x + 5 = 11 )\uff1a<\/p>\n\n<ul class=\"pt-[9px] pb-[2px] pl-[24px] list-disc [&amp;_ul]:pt-[5px] pt-[5px]\">\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"1\">\u5c06\u5e38\u6570\u9879\u79fb\u5230\u53f3\u8fb9\uff1a( 3x = 11 &#8211; 5 )\u3002<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"2\">\u8ba1\u7b97\u53f3\u8fb9\uff1a( 3x = 6 )\u3002<\/li>\n \t<li class=\"text-body font-regular text-gray-800 leading-[24px] my-[5px] [&amp;&gt;ol]:!pt-0 [&amp;&gt;ol]:!pb-0 [&amp;&gt;ul]:!pt-0 [&amp;&gt;ul]:!pb-0\" value=\"3\">\u6c42\u89e3 x\uff1a( x = 2 )\u3002<\/li>\n<\/ul><div class=\"retention-card-new\" data-lang=\"zh\" data-subject=\"MATH\" data-btnName=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\" data-subTitle=\"\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>\u609f\u7a7a\u56fd\u9645\u6570\u5b66<br \/>\n<span>\u8ba9\u6570\u5b66\u4e4b\u5149\u7167\u4eae\u6bcf\u4e00\u4e2a\u5b69\u5b50\uff01<\/span><\/p>\n<\/h3>\r\n        <p>\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/zh\/independent-appointment\/?subject=math&amp;l=c87d1e8c-ec8e-4a2a-83b7-84e0af53d81f&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\">\r\n            \u7acb\u5373\u514d\u8d39\u8bd5\u542c\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u5728\u5f53\u4eca\u7ade\u4e89\u6fc0\u70c8\u7684\u5b66\u4e60\u538b\u529b\u4e0b\uff0c\u6570\u5b66\u6210\u4e3a\u4e86\u5c0f\u5b66\u751f\u4eec\u4e0d\u5f97\u4e0d\u9762\u4e34\u7684\u4e00\u5927\u6311\u6218\u3002\u5c3d\u7ba1\u6570\u5b66\u662f\u5efa\u7acb\u903b\u8f91\u601d\u7ef4\u548c\u89e3\u51b3\u95ee\u9898\u80fd\u529b\u7684\u5173\u952e\u5b66\u79d1\uff0c\u4f46\u4e0d\u5c11\u5b69\u5b50\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u906d\u9047\u4e86\u96be\u4ee5\u7a81\u7834\u7684\u96be\u70b9\u3002\u672c\u6587\u5c06\u6df1\u5165\u63a2\u8ba8\u5c0f\u5b66\u6570\u5b66\u4e94\u5927\u96be\u9898\uff0c\u76ee\u7684\u4e0d\u4ec5\u4ec5\u662f\u63ed\u793a\u8fd9\u4e9b\u96be\u9898\u672c\u8d28\uff0c\u66f4\u662f\u4e3a\u4e86\u5e2e\u52a9\u5bb6\u957f\u4eec\u7406\u89e3\u5b69\u5b50\u5728\u5b66\u4e60\u6570\u5b66\u8fc7\u7a0b\u4e2d\u7684\u65e0\u52a9\uff0c\u4ece\u800c\u63d0\u4f9b\u6709\u6548\u7684\u5bb6\u5ead\u8f85\u5bfc\u7b56\u7565\u3002 \u901a\u8fc7\u8fd9\u7bc7\u6587\u7ae0\uff0c\u6211\u4eec\u5e0c\u671b\u6bcf\u4f4d\u5bb6\u957f\uff0c\u90fd\u80fd\u6210\u4e3a\u5b69\u5b50\u5b66\u4e60\u65c5\u7a0b\u4e2d\u7684\u5f97\u529b\u52a9\u624b\uff0c\u8ba9\u5b69\u5b50\u5728\u6bcf\u4e00\u6b21\u8003\u8bd5\u4e2d\u90fd\u80fd\u591f\u83b7\u5f97\u4f18\u5f02\u7684\u6210\u7ee9\uff0c\u751a\u81f3\u662f\u6ee1\u5206\u3002\u63a5\u4e0b\u6765\uff0c\u8ba9\u6211\u4eec\u4e00\u8d77\u76d8\u70b9\u90a3\u4e9b\u8ba9\u65e0\u6570\u5b66\u751f\u5934\u75bc\u7684\u6570\u5b66\u96be\u9898\uff0c\u627e\u51fa\u89e3\u51b3\u529e\u6cd5\u3002 \u5c0f\u5b66\u6570\u5b665\u5927\u96be\u9898 \u4e0e\u4e4b\u524d\u4e0d\u540c\uff0c\u5982\u4eca\u7684\u5c0f\u5b66\u6570\u5b66\u9898\u5728\u9898\u76ee\u8bbe\u8ba1\u4e0a\uff0c\u4e0d\u4f46\u8ba9\u5b69\u5b50\u4eec\u4e0d\u77e5\u6240\u63aa\uff0c\u5f88\u591a\u5bb6\u957f\u5728\u9762\u5bf9\u8fd9\u4e9b\u96be\u9898\u7684\u65f6\u5019\uff0c\u4e5f\u662f\u5e38\u5e38\u65e0\u4ece\u4e0b\u624b\u3002\u73b0\u5728\u7684\u6570\u5b66\u6559\u80b2\uff0c\u5df2\u7ecf\u4ece\u8ffd\u6c42\u57fa\u672c\u7684\u6570\u5b66\u6982\u5ff5\u548c\u516c\u5f0f\uff0c\u5f00\u59cb\u5411\u63d0\u5347\u5b69\u5b50\u903b\u8f91\u601d\u7ef4\u80fd\u529b\u53d1\u5c55\u3002 \u6240\u4ee5\uff0c\u5f88\u591a\u6240\u8c13\u7684\u201c\u5947\u8469\u201d\u9898\u76ee\u5c42\u51fa\u4e0d\u7a77\u3002\u5176\u5b9e\uff0c\u5e38\u89c1\u7684\u516c\u8ba4\u8f83\u96be\u6c42\u89e3\u7684\u7c7b\u9898\u4e3b\u8981\u5305\u62ec\uff1a\u5206\u6570\u8fd0\u7b97\u3001\u6587\u5b57\u903b\u8f91\u63a8\u7406\u3001\u6570\u5217\u3001\u51e0\u4f55\u95ee\u9898\u4ee5\u53ca\u7efc\u5408\u5e94\u7528\u9898\u3002\u4e0b\u9762\u8ba9\u6211\u4eec\u4e3e\u4f8b\u8bf4\u660e\uff0c\u8fd9\u4e9b\u9898\u76ee\u5e94\u8be5\u5982\u4f55\u6b63\u786e\u89e3\u7b54\u3002 1. \u9ad8\u7ea7\u5206\u6570\u8fd0\u7b97 \u8fd9\u7c7b\u9898\u76ee\u8981\u6c42\u5b66\u751f\u5904\u7406\u6d89\u53ca\u591a\u4e2a\u5206\u6570\u7684\u590d\u6742\u8fd0\u7b97\uff0c\u901a\u5e38\u5305\u62ec\u4e0d\u540c\u5206\u6bcd\u7684\u5206\u6570\u7684\u52a0\u3001\u51cf\u3001\u4e58\u3001\u9664\u3002\u5b66\u751f\u9700\u8981\u638c\u63e1\u5206\u6570\u7684\u57fa\u672c\u6027\u8d28\uff0c\u5982\u4f55\u6c42\u6700\u5c0f\u516c\u500d\u6570\u3001\u5982\u4f55\u5316\u7b80\u5206\u6570\u7b49\u3002 \u9898\u76ee\uff1a \u5982\u679c\u4e00\u4e2a\u73ed\u7ea7\u91cc\u67092\/3\u7684\u5b66\u751f\u559c\u6b22\u8db3\u7403\uff0c\u5176\u4e2d1\/2\u53c8\u540c\u65f6\u559c\u6b22\u7bee\u7403\uff0c\u95ee\u8fd9\u4e2a\u73ed\u7ea7\u4e2d\u559c\u6b22\u7bee\u7403\u7684\u5b66\u751f\u5360\u603b\u4eba\u6570\u7684\u6bd4\u4f8b\u662f\u591a\u5c11\uff1f \u89e3\u9898\u601d\u8def\uff1a 1. \u786e\u5b9a\u540c\u65f6\u559c\u6b22\u8db3\u7403\u548c\u7bee\u7403\u7684\u5b66\u751f\u6bd4\u4f8b\uff1a\u53ef\u4ee5\u5c06\u559c\u6b22\u8db3\u7403\u7684\u6bd4\u4f8b\uff082\/3\uff09\uff0c\u4e58\u4ee5\u540c\u65f6\u559c\u6b22\u7bee\u7403\u7684\u6bd4\u4f8b\uff081\/2\uff09\u5f97\u5230\u3002 2. \u8ba1\u7b97\uff1a(2\/3) * (1\/2) = 2\/6 = 1\/3\u3002 3. \u56e0\u6b64\uff0c\u559c\u6b22\u7bee\u7403\u7684\u5b66\u751f\u5360\u603b\u4eba\u6570\u7684\u6bd4\u4f8b\u662f1\/3\u3002 2. \u590d\u6742\u7684\u6587\u5b57\u903b\u8f91\u95ee\u9898 \u8fd9\u7c7b\u95ee\u9898\u9700\u8981\u5b66\u751f\u9605\u8bfb\u548c\u7406\u89e3\u590d\u6742\u7684\u6587\u5b57\u63cf\u8ff0\uff0c\u5e76\u57fa\u4e8e\u8fd9\u4e9b\u63cf\u8ff0\u89e3\u51b3\u6570\u5b66\u95ee\u9898\u3002\u5b83\u4eec\u901a\u5e38\u6d89\u53ca\u591a\u4e2a\u53d8\u91cf\u548c\u6761\u4ef6\uff0c\u8981\u6c42\u5b66\u751f\u8fdb\u884c\u903b\u8f91\u63a8\u7406\u5e76\u4e14\u5efa\u7acb\u6570\u5b66\u6a21\u578b\u3002 \u9898\u76ee\uff1a \u5c0f\u660e\u3001\u5c0f\u7ea2\u548c\u5c0f\u521a\u4e00\u5171\u670925\u672c\u4e66\u3002\u5c0f\u660e\u6bd4\u5c0f\u7ea2\u591a3\u672c\u4e66\uff0c\u5c0f\u7ea2\u6bd4\u5c0f\u521a\u591a5\u672c\u4e66\u3002\u6c42\u6bcf\u4eba\u5404\u6709\u591a\u5c11\u672c\u4e66\uff1f \u89e3\u9898\u601d\u8def\uff1a \u8bbe\u5c0f\u521a\u6709x\u672c\u4e66\uff0c\u5219\u5c0f\u7ea2\u6709x+5\u672c\uff0c\u5c0f\u660e\u6709x+5+3 = x+8\u672c\u3002 \u6839\u636e\u9898\u76ee\u6761\u4ef6\uff0c\u4e09\u4eba\u7684\u4e66\u7684\u603b\u6570\u662f27\u672c\u3002\u5efa\u7acb\u65b9\u7a0b\uff1ax + (x+5) + (x+8) = 27\u3002 \u89e3\u65b9\u7a0b\uff1a3x + 13 = 25\uff0c3x = 12\uff0cx = 4\u3002 \u6240\u4ee5\u6b63\u786e\u7b54\u6848\u662f\uff1a\u5c0f\u521a4\u672c\uff0c\u5c0f\u7ea29\u672c\uff0c\u5c0f\u660e12\u672c\u3002 3. \u6570\u5217\u4e0e\u89c4\u5f8b \u6570\u5217\u662f\u63a2\u7a76\u6570\u4e0e\u6570\u4e4b\u95f4\u5173\u7cfb\u7684\u63a8\u7406\u578b\u9898\u76ee\u3002\u8981\u6c42\u5b66\u751f\u53d1\u73b0\u6570\u5217\u4e2d\u7684\u89c4\u5f8b\uff0c\u5e76\u7528\u8fd9\u4e2a\u89c4\u5f8b\u6765\u89e3\u51b3\u4e00\u7cfb\u5217\u95ee\u9898\u3002\u5982\u9884\u6d4b\u6570\u5217\u7684\u4e0b\u4e00\u4e2a\u6570\u5b57\u6216\u6c42\u7279\u5b9a\u4f4d\u7f6e\u7684\u6570\u5b57\u3002 \u9898\u76ee\uff1a \u6570\u52171, 4, 9, 16, ?, 36\u3002\u6c42\u95ee\u53f7\u5904\u7684\u6570\u3002 \u89e3\u9898\u601d\u8def\uff1a \u89c2\u5bdf\u6570\u5217\u7684\u73b0\u6709\u6570\u5b57\uff0c\u5c1d\u8bd5\u627e\u51fa\u5b83\u4eec\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u8fd9\u4e9b\u6570\u5b57\u5206\u522b\u662f1, 4, 9, 16, 36\uff0c\u770b\u8d77\u6765\u50cf\u662f\u5e73\u65b9\u6570\u3002 \u68c0\u67e5\u6bcf\u4e2a\u6570\u5b57\u662f\u5426\u662f\u8fde\u7eed\u6574\u6570\u7684\u5e73\u65b9\uff1a1 = 1^2, 4 = 2^2, 9 = 3^2, 16 = 4^2, 36 = 6^2\u3002 \u53d1\u73b0\u95ee\u53f7\u5e94\u8be5\u662f5^2\uff0c\u56e0\u4e3a\u5b83\u4f4d\u4e8e16\u548c36\u4e4b\u95f4\u3002 \u6240\u4ee5\uff0c\u95ee\u53f7\u5904\u7684\u6570\u5b57\u662f25\u3002 4. \u590d\u6742\u7684\u51e0\u4f55\u95ee\u9898 \u5728\u5c0f\u5b66\u6570\u5b66\u4e2d\uff0c\u51e0\u4f55\u95ee\u9898\u901a\u5e38\u6d89\u53ca\u5230\u8ba1\u7b97\u591a\u8fb9\u5f62\u3001\u5706\u5f62\u7b49\u51e0\u4f55\u56fe\u5f62\u7684\u9762\u79ef\u548c\u5468\u957f\uff0c\u4ee5\u53ca\u5982\u4f55\u5e94\u7528\u51e0\u4f55\u56fe\u5f62\u7684\u7a7a\u95f4\u5c5e\u6027\u3002\u8fd9\u7c7b\u95ee\u9898\u53ef\u80fd\u5305\u62ec\u7ec4\u5408\u56fe\u5f62\uff0c\u9700\u8981\u5b66\u751f\u5206\u89e3\u56fe\u5f62\u5e76\u5206\u522b\u8ba1\u7b97\u5404\u90e8\u5206\u7684\u9762\u79ef\u6216\u5468\u957f\u3002 \u9898\u76ee\uff1a \u60f3\u8c61\u4e00\u4e2a\u56fe\u5f62\uff0c\u7531\u4e00\u4e2a\u6b63\u65b9\u5f62\u548c\u4e00\u4e2a\u5728\u5176\u4e0a\u65b9\u7684\u534a\u5706\u7ec4\u6210\uff0c\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e3a6\u5398\u7c73\u3002\u8981\u6c42\u8ba1\u7b97\u6574\u4e2a\u7ec4\u5408\u56fe\u5f62\u7684\u603b\u9762\u79ef\u548c\u5468\u957f\u3002 \u89e3\u9898\u601d\u8def\uff1a \u6b65\u9aa4\u4e00\uff1a\u8ba1\u7b97\u6b63\u65b9\u5f62\u7684\u9762\u79ef \u516c\u5f0f\uff1a\u9762\u79ef = \u8fb9\u957f\u00b2 \u8ba1\u7b97\uff1a\u9762\u79ef = 6\u5398\u7c73 \u00d7 6\u5398\u7c73 = 36\u5e73\u65b9\u5398\u7c73 \u6b65\u9aa4\u4e8c\uff1a\u8ba1\u7b97\u534a\u5706\u7684\u9762\u79ef \u516c\u5f0f\uff1a\u9762\u79ef = (\u03c0 \u00d7 \u534a\u5f84\u00b2) \/ 2 \u8ba1\u7b97\uff1a\u534a\u5f84 = \u8fb9\u957f \/ 2 = 6\u5398\u7c73 \/ 2 = 3\u5398\u7c73 \u9762\u79ef =&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806805,"featured_media":32644,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[132672],"tags":[137323,135949],"class_list":["post-32636","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-learning-zh","tag-complex-math-questions-answers-zh","tag-elementary-school-math-zh"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5c0f\u5b66\u6570\u5b66\u4e94\u5927\u96be\u9898\u76d8\u70b9\uff1a\u8ba9\u6d77\u5916\u5b69\u5b50\u6bcf\u6b21\u8003\u8bd5\uff0c\u90fd\u662f\u6ee1\u5206\uff01 - WuKong Edu Blog<\/title>\n<meta name=\"description\" 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