{"id":17627,"date":"2024-01-17T16:59:18","date_gmt":"2024-01-17T08:59:18","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=17627"},"modified":"2026-04-29T13:52:32","modified_gmt":"2026-04-29T05:52:32","slug":"kangaroo-math-competition-full-guides","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/kangaroo-math-competition-full-guides-post-17627\/","title":{"rendered":"Math Kangaroo\u5386\u5e74\u771f\u9898+2026\u5e74\u9884\u6d4b\u53ca\u5907\u8003"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p>Math Kangaroo<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7684\u8003\u8bd5\u5df2\u7ecf\u8fc7\u53bb\u3002\u65e0\u8bba\u5b69\u5b50\u662f\u51e0\u5e74\u7ea7\uff0c\u591a\u5c11\u5c81\uff0c\u53ea\u8981\u53c2\u52a0\u4e86\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\uff0c\u90a3\u5237\u9898\u5c31\u5f97\u4ece\u6b64\u65f6\u6b64\u523b\u5f00\u59cb\uff0c\u56e0\u4e3a\uff0c<a href=\"https:\/\/www.wukongsch.com\/zh\/resources\/math\/math-kangaroo\/\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/a>\u662f\u63d0\u5347\u6570\u5b66\u80fd\u529b\u7684\u91d1\u94a5\u5319\uff01\u901a\u8fc7\u89e3\u51b3\u771f\u9898\uff0c\u53ef\u953b\u70bc\u601d\u7ef4\uff0c\u63d0\u9ad8\u89e3\u9898\u6280\u5de7\uff0c\u4e3a\u7ade\u8d5b\u505a\u597d\u5145\u5206\u51c6\u5907\u3002\u672c\u6587\u6536\u96c6\u4e86\u5404\u5e74\u7ea7\u5404\u5e74\u9f84\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\uff0c\u5c24\u5176\u662f2023\u5e74\u771f\u9898\u5c45\u591a\uff0c\u5c06\u5177\u6709\u4ee3\u8868\u602723\u9053\u771f\u9898\u6df1\u5165\u5206\u6790\uff0c\u6bcf\u4e00\u9053\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u90fd\u6709\u89e3\u9898\u601d\u8def\u548c\u8981\u70b9\uff0c\u5e2e\u52a9\u5b69\u5b50\u4eec\u5f00\u542f\u6570\u5b66\u4e4b\u65c5\uff0c\u8d62\u5f97\u672a\u6765\uff01<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"300\" height=\"170\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-300x170.jpg\" alt=\"Math Kangaroo\u5386\u5e74\u771f\u9898\" class=\"wp-image-17628\" style=\"width:402px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-300x170.jpg 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-320x180.jpg 320w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-720x405.jpg 720w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-768x436.jpg 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-520x293.jpg 520w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790-920x518.jpg 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u6790.jpg 826w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n<p>\u5982\u679c\u60a8\u60f3\u5b69\u5b50\u80fd\u5728\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u4e2d\u53d6\u5f97\u66f4\u597d\u7684\u6210\u7ee9\uff0c\u5feb\u6765\u52a0\u5165\u609f\u7a7a\u56fd\u9645\u6570\u5b66\u7ebf\u4e0a\u8bfe\u7a0b-\u888b\u9f20\u7ade\u8d5b\u51b2\u523a\u7cbe\u8bb2\u73ed\uff0c\u7acb\u5373\u70b9\u51fb\u9884\u7ea6\u8bd5\u542c\u5427\uff01<\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u4ee5\u4e0b\u662f\u6309\u7167\u4e0d\u540c\u5e74\u7ea7\u548c\u77e5\u8bc6\u70b9\u7cbe\u9009\u768410\u9053\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u53ca\u89e3\u6790\uff1a<\/span><\/p>\n\n\n<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>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"math-kangaroo%e5%8e%86%e5%b9%b4%e7%9c%9f%e9%a2%98%e5%8f%8a2023-2025%e5%b9%b4%e7%9c%9f%e9%a2%98%e4%b8%8b%e8%bd%bd\"><\/span>Math Kangaroo\u5386\u5e74\u771f\u9898\u53ca2023-2025\u5e74\u771f\u9898\u4e0b\u8f7d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e00\uff09\u771f\u9898\u4ef7\u503c\u8bf4\u660e<\/h3>\n\n\n\n<p>Math Kangaroo\u5386\u5e74\u771f\u9898\u662f\u5907\u8003\u6838\u5fc3\u5de5\u5177\uff0c2023 \u5e74\u771f\u9898\u53ef\u7cbe\u51c6\u5339\u914d\u6700\u65b0\u9898\u578b\u96be\u5ea6\uff0c\u5386\u5e74\u771f\u9898\uff082019-2022\uff09\u53ef\u5e2e\u52a9\u603b\u7ed3\u9ad8\u9891\u8003\u70b9\uff0c\u901a\u8fc7\u9650\u65f6\u5237\u9898\uff0c\u53ef\u63d0\u5347\u89e3\u9898\u901f\u5ea6\uff0c\u719f\u6089\u82f1\u6587\u9898\u5e72\u8868\u8ff0\u3002\u6240\u6709\u4e0b\u8f7d\u771f\u9898\u5747\u9644\u8be6\u7ec6\u89e3\u6790\uff0c\u542b \u201c\u8003\u70b9\u6807\u6ce8\u201d\u201c\u6613\u9519\u70b9\u63d0\u9192\u201d\uff0c\u5e2e\u4f60\u907f\u5f00 80% \u7684\u5e38\u89c1\u9519\u8bef\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e8c\uff09\u5b98\u65b9\u5206\u7ea7\u8bf4\u660e<\/h3>\n\n\n\n<p>\u6309\u888b\u9f20\u7ade\u8d5b\u5b98\u65b9\u5206\u7ea7\uff08\u5bf9\u5e94\u5e74\u7ea7\uff09\u6574\u7406\uff0c\u907f\u514d\u6df7\u6dc6\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Level A\uff1a1-2 \u5e74\u7ea7<\/li>\n\n\n\n<li>Level B\uff1a3-4 \u5e74\u7ea7<\/li>\n\n\n\n<li>Level C\uff1a5-6 \u5e74\u7ea7<\/li>\n\n\n\n<li>Level D\uff1a7-8 \u5e74\u7ea7<\/li>\n\n\n\n<li>Level E\uff1a9-10 \u5e74\u7ea7<\/li>\n\n\n\n<li>Level F\uff1a11-12 \u5e74\u7ea7<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e09\uff09\u4e0b\u8f7d\u6e20\u9053\u53ca\u8d44\u6e90\u5217\u8868\uff08\u4f18\u5316\uff09<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">\u8d44\u6e90\u7c7b\u578b<\/th><th>\u5305\u542b\u5185\u5bb9<\/th><th>\u4e0b\u8f7d\u65b9\u5f0f<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">2023 \u5e74\u5168\u5e74\u7ea7\u771f\u9898\uff08\u542b\u89e3\u6790\uff09<\/td><td>Level A-F \u5171 6 \u5957\u8bd5\u5377 + \u7b54\u6848\u89e3\u6790<\/td><td>\u70b9\u51fb\u5bf9\u5e94\u94fe\u63a5\u4e0b\u8f7d<br><a href=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/11\/level-a.pdf\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-A\u8bd5\u5377)<\/a><br><a href=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/11\/level-b.pdf\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-B\u8bd5\u5377)<\/a><br><a href=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/11\/level-c.pdf\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-C\u8bd5\u5377)<\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u5386\u5e74\u771f\u9898\u6c47\u603b\uff082019-2022\uff09<\/td><td>\u5404 Level \u5206\u5e74\u4efd\u8bd5\u5377\uff08\u542b\u90e8\u5206\u89e3\u6790\uff09<\/td><td>Math Kangaroo\u5386\u5e74\u771f\u9898\u5b98\u7f51\u4e0b\u8f7d\u94fe\u63a5\uff1a<a href=\"https:\/\/mathkangaroo.org\/mks\/practice\/pdf-exams\/\">Download Pdf Exams from Previous Years &#8211; Math Kangaroo USA<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"math-kangaroo-2019-2025%e5%b9%b4%e7%9c%9f%e9%a2%98%e5%8f%8a%e8%a7%a3%e6%9e%90%e5%b0%8f%e5%ad%a6%e9%98%b6%e6%ae%b5%ef%bc%886-12%e5%b2%81%ef%bc%89\"><\/span>Math Kangaroo 2019-2025\u5e74\u771f\u9898\u53ca\u89e3\u6790<strong>|\u5c0f\u5b66\u9636\u6bb5\uff086-12\u5c81\uff09<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee1\uff1a<\/strong>\u4e00\u53ea\u8717\u725b\u4ece\u4e95\u5e95\u5411\u4e0a\u722c\uff0c\u6bcf\u6b21\u722c3\u7c73\uff0c\u7136\u540e\u53c8\u6ed1\u4e0b\u67652\u7c73\uff0c\u95ee\u5b83\u81f3\u5c11\u8981\u722c\u591a\u5c11\u6b21\u624d\u80fd\u722c\u51fa\u4e95\u53e3\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8717\u725b\u6bcf\u6b21\u722c\u5347\u7684\u9ad8\u5ea6\u4e3a3\u7c73\uff0c\u4f46\u4f1a\u6ed1\u843d2\u7c73\uff0c\u56e0\u6b64\u5b9e\u9645\u6bcf\u6b21\u4e0a\u5347\u9ad8\u5ea6\u4e3a1\u7c73\u3002\u5047\u8bbe\u8717\u725b\u9700\u8981\u722cn\u6b21\u624d\u80fd\u5230\u8fbe\u4e95\u53e3\uff0c\u5219\u524dn-1\u6b21\u5b83\u4e00\u5171\u4e0a\u5347\u4e86n-1\u7c73\uff0c\u7b2cn\u6b21\u5b83\u722c\u4e863\u7c73\u5230\u8fbe\u4e95\u53e3\u3002\u56e0\u6b64\uff0c\u603b\u4e0a\u5347\u9ad8\u5ea6\u81f3\u5c11\u4e3an-1+3=n+2\u7c73\u3002\u56e0\u4e3a\u8717\u725b\u6bcf\u6b21\u5b9e\u9645\u4e0a\u53471\u7c73\uff0c\u6240\u4ee5n+2=12\u7c73\uff0c\u89e3\u5f97n=10\u6b21\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee2\uff1a<\/strong>\u4e00\u4e2a\u6b63\u65b9\u5f62\u88ab\u5206\u62104\u4e2a\u5c0f\u7684\u6b63\u65b9\u5f62\uff0c\u5176\u4e2d\u4e00\u4e2a\u5c0f\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e3a3\uff0c\u95ee\u6574\u4e2a\u5927\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u9898\u610f\uff0c\u53ef\u4ee5\u63a8\u65ad\u51fa\u5927\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u7b49\u4e8e\u4e24\u4e2a\u5c0f\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e4b\u548c\u3002\u56e0\u6b64\uff0c\u5927\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e3a3+3=6\u7c73\u3002\u6240\u4ee5\uff0c\u5927\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u4e3a6\u00d76=36\u5e73\u65b9\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee3\uff1a<\/strong>\u4e00\u4e2a\u5706\u5f62\u82b1\u575b\uff0c\u5468\u957f\u4e3a10\u7c73\uff0c\u95ee\u5b83\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u5706\u5468\u957f\u516c\u5f0fC=2\u03c0r\uff0c\u53ef\u5f97\u5230\u5706\u7684\u534a\u5f84r=C\/2\u03c0=10\/2\u03c0=5\/\u03c0\u7c73\u3002\u56e0\u6b64\uff0c\u5706\u7684\u9762\u79efS=\u03c0r^2=\u03c0(5\/\u03c0)^2=25\/\u03c0\u5e73\u65b9\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee4\uff1a<\/strong>\u4e00\u53ea\u9752\u86d9\u4e00\u6b21\u53ef\u4ee5\u8df3\u4e0a1\u7ea7\u53f0\u9636\uff0c\u4e5f\u53ef\u4ee5\u8df3\u4e0a2\u7ea7\u3002\u6c42\u8be5\u9752\u86d9\u8df3\u4e0a\u4e00\u4e2an\u7ea7\u7684\u53f0\u9636\u603b\u5171\u6709\u591a\u5c11\u79cd\u8df3\u6cd5\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u5f53\u9752\u86d9\u8df3\u5230\u7b2cn\u7ea7\u53f0\u9636\u65f6\uff0c\u5b83\u53ef\u4ee5\u4ece\u7b2cn-1\u7ea7\u53f0\u9636\u8df31\u7ea7\u4e0a\u6765\uff0c\u4e5f\u53ef\u4ee5\u4ece\u7b2cn-2\u7ea7\u53f0\u9636\u8df32\u7ea7\u4e0a\u6765\uff0c\u56e0\u6b64\u8df3\u5230\u7b2cn\u7ea7\u53f0\u9636\u7684\u8df3\u6cd5f(n)=f(n-1)+f(n-2)\u3002\u5f53\u9752\u86d9\u8df3\u5230\u7b2c1\u7ea7\u53f0\u9636\u65f6\uff0c\u53ea\u67091\u79cd\u8df3\u6cd5\uff1b\u5f53\u9752\u86d9\u8df3\u5230\u7b2c2\u7ea7\u53f0\u9636\u65f6\uff0c\u67092\u79cd\u8df3\u6cd5\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230f(1)=1\uff0cf(2)=2\uff0c\u7136\u540e\u53ef\u4ee5\u9010\u6b65\u8ba1\u7b97\u51faf(3)\uff0cf(4)\uff0c&#8230;\uff0cf(n)\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee5\uff1a<\/strong>\u4e00\u4e2a\u5706\u5f62\u82b1\u575b\uff0c\u5468\u957f\u4e3a10\u7c73\uff0c\u95ee\u5b83\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u5706\u7684\u5468\u957f\u548c\u9762\u79ef\u7684\u8ba1\u7b97\u3002\u6839\u636e\u5706\u7684\u5468\u957f\u516c\u5f0fC=2\u03c0r\uff0c\u53ef\u4ee5\u89e3\u51fa\u534a\u5f84r=C\/2\u03c0=10\/2\u03c0=5\/\u03c0\u7c73\u3002\u7136\u540e\u6839\u636e\u5706\u7684\u9762\u79ef\u516c\u5f0fS=\u03c0r^2\uff0c\u53ef\u8ba1\u7b97\u51fa\u5706\u5f62\u82b1\u575b\u7684\u9762\u79efS=(5\/\u03c0)^2*\u03c0=25\/\u03c0\u5e73\u65b9\u7c73\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"300\" height=\"260\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u98986-12\u5c81-300x260.jpg\" alt=\"\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u98986 12\u5c81\" class=\"wp-image-17629\" style=\"width:468px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u98986-12\u5c81-300x260.jpg 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u98986-12\u5c81.jpg 748w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee6\uff1a<\/strong>\u4e00\u4e2a\u7b49\u5dee\u6570\u5217\u7684\u524d\u4e24\u9879\u5206\u522b\u4e3a1\u548c3\uff0c\u6c42\u5b83\u7684\u7b2c10\u9879\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u7b49\u5dee\u6570\u5217\u7684\u6027\u8d28\u548c\u901a\u9879\u516c\u5f0f\u3002\u6839\u636e\u7b49\u5dee\u6570\u5217\u7684\u6027\u8d28\uff0c\u53ef\u77e5\u7b49\u5dee\u6570\u5217\u7684\u516c\u5deed=(3-1)\/1=2\u3002\u6839\u636e\u7b49\u5dee\u6570\u5217\u7684\u901a\u9879\u516c\u5f0fa_n=a_1+(n-1)d\uff0c\u53ef\u5f97\u7b2c10\u9879a_10=1+(10-1)\u00d72=21\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee 7 &#8211; 2023\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u4e2a\u6b63\u65b9\u5f62\u6709\u56db\u4e2a\u76f8\u7b49\u7684\u8fb9\uff0c\u5df2\u77e5\u5176\u4e2d\u4e00\u6761\u8fb9\u7684\u957f\u5ea6\u4e3aa\uff0c\u6c42\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u3002\u6839\u636e\u6b63\u65b9\u5f62\u7684\u6027\u8d28\uff0c\u53ef\u77e5\u6b63\u65b9\u5f62\u7684\u6240\u6709\u8fb9\u90fd\u76f8\u7b49\u3002\u56e0\u6b64\uff0c\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u4e3aa^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee 8 &#8211; 2022\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u53ea\u8717\u725b\u8981\u4ece\u4e00\u4e2a\u957f\u4e3a3\u5398\u7c73\uff0c\u5bbd\u4e3a2\u5398\u7c73\u7684\u77e9\u5f62\u76d2\u5b50\u91cc\u722c\u5230\u53e6\u4e00\u4e2a\u4e0e\u8fd9\u4e2a\u77e9\u5f62\u76d2\u5b50\u76f8\u540c\u7684\u957f\u65b9\u5f62\u76d2\u5b50\u91cc\uff0c\u6c42\u8717\u725b\u722c\u884c\u7684\u6700\u77ed\u8def\u5f84\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u77e9\u5f62\u7684\u5bf9\u89d2\u7ebf\u957f\u5ea6\u8ba1\u7b97\u3002\u77e9\u5f62\u7684\u5bf9\u89d2\u7ebf\u957f\u5ea6\u53ef\u4ee5\u7528\u52fe\u80a1\u5b9a\u7406\u8ba1\u7b97\uff0c\u5373sqrt(3^2+2^2)=sqrt13\u5398\u7c73\u3002\u56e0\u6b64\uff0c\u8717\u725b\u722c\u884c\u7684\u6700\u77ed\u8def\u5f84\u4e3asqrt13\u5398\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee 9 &#8211; 2021\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u53ea\u8682\u8681\u5728\u4e00\u4e2a\u73af\u5f62\u8dd1\u9053\u4e0a\u7ed5\u5708\uff0c\u5df2\u77e5\u8dd1\u9053\u7684\u76f4\u5f84\u4e3ad\u7c73\uff0c\u6c42\u8682\u8681\u8d70\u5b8c\u4e00\u5708\u9700\u8981\u8d70\u7684\u8ddd\u79bb\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u5706\u7684\u5468\u957f\u8ba1\u7b97\u3002\u6839\u636e\u5706\u7684\u5468\u957f\u516c\u5f0fC=\u03c0d\uff0c\u53ef\u8ba1\u7b97\u8682\u8681\u8d70\u5b8c\u4e00\u5708\u9700\u8981\u8d70\u7684\u8ddd\u79bb\u4e3a\u03c0d\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee 10 &#8211; 2020\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u4e2a\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e00\u6761\u76f4\u89d2\u8fb9\u957f\u4e3a6\u5398\u7c73\uff0c\u6c42\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u3002\u6839\u636e\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u6027\u8d28\uff0c\u53ef\u77e5\u53e6\u4e00\u6761\u76f4\u89d2\u8fb9\u4e5f\u4e3a6\u5398\u7c73\u3002\u56e0\u6b64\uff0c\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a(6*6)\/2=18\u5e73\u65b9\u5398\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee 11 &#8211; 2019\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u5757\u6b63\u65b9\u5f62\u83dc\u5730\u91cc\u6709\u8bb8\u591a\u767d\u83dc\uff0c\u5df2\u77e5\u83dc\u5730\u7684\u8fb9\u957f\u4e3aa\u7c73\uff0c\u6c42\u767d\u83dc\u7684\u603b\u91cd\u91cf\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u548c\u767d\u83dc\u7684\u603b\u91cd\u91cf\u8ba1\u7b97\u3002\u9996\u5148\u8ba1\u7b97\u51fa\u83dc\u5730\u7684\u9762\u79efa^2\u5e73\u65b9\u7c73\uff0c\u518d\u6839\u636e\u767d\u83dc\u7684\u6570\u91cf\u548c\u5355\u4e2a\u767d\u83dc\u7684\u91cd\u91cf\u8ba1\u7b97\u51fa\u767d\u83dc\u7684\u603b\u91cd\u91cf\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"math-kangaroo-2019-2025%e5%b9%b4%e7%9c%9f%e9%a2%98%e5%8f%8a%e8%a7%a3%e6%9e%90%e5%88%9d%e4%b8%ad%e9%98%b6%e6%ae%b5%ef%bc%8812-15%e5%b2%81%ef%bc%89\"><\/span>Math Kangaroo 2019-2025\u5e74\u771f\u9898\u53ca\u89e3\u6790|\u521d\u4e2d\u9636\u6bb5\uff0812-15\u5c81\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"746\" height=\"523\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898Level-B.jpg\" alt=\"\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898level B\" class=\"wp-image-17632\" style=\"width:832px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898Level-B.jpg 746w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898Level-B-300x210.jpg 300w\" sizes=\"(max-width: 746px) 100vw, 746px\" \/><\/figure><\/div>\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee1\uff1a<\/strong>\u4e00\u5757\u6b63\u65b9\u5f62\u677f\uff0c\u5468\u957f4\u03c0,\u95ee\u5b83\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u6b63\u65b9\u5f62\u7684\u6027\u8d28\uff0c\u6b63\u65b9\u5f62\u7684\u5468\u957f\u7b49\u4e8e\u56db\u500d\u7684\u8fb9\u957f\u3002\u8bbe\u6b63\u65b9\u5f62\u8fb9\u957f\u4e3aa\uff0c\u52194a=4\u03c0r\uff0c\u89e3\u5f97a=\u03c0r\u3002\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u4e3aa^2=\u03c0^2r^2\u3002\u56e0\u4e3a\u03c0r=1\uff0c\u6240\u4ee5a=\u03c0r=1\uff0c\u6240\u4ee5\u9762\u79ef=\u03c0^2r^2=\u03c0\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee2\uff1a<\/strong>\u5df2\u77e5\u65b9\u7a0bx^2+bx+c=0\u6709\u4e24\u4e2a\u5b9e\u6570\u6839x1\u548cx2\uff0c\u4e14x1+x2=5,x1x2=3,\u6c42b\u548cc\u7684\u503c\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u65b9\u7a0b\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u7684\u548c\u7b49\u4e8e\u4e00\u6b21\u9879\u7cfb\u6570\u7684\u76f8\u53cd\u6570\u9664\u4ee5\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u4e24\u4e2a\u5b9e\u6570\u6839\u7684\u79ef\u7b49\u4e8e\u5e38\u6570\u9879\u9664\u4ee5\u4e8c\u6b21\u9879\u7cfb\u6570\u3002\u56e0\u6b64\u53ef\u5f97\u5230\u4ee5\u4e0b\u4e24\u4e2a\u7b49\u5f0f\uff1ab=-(x1+x2)=-5, c=x1x2=3\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee3\uff1a<\/strong>\u5df2\u77e5\u4e09\u89d2\u5f62ABC\u7684\u4e09\u4e2a\u5185\u89d2A\u3001B\u3001C\u6ee1\u8db3A+C=2B\uff0c\u6c42\u8bc1\uff1a\u4e09\u6761\u8fb9a\u3001b\u3001c\u6ee1\u8db3a^2+c^2=2b^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406\uff0c\u4e09\u89d2\u5f62ABC\u7684\u4e09\u4e2a\u5185\u89d2A\u3001B\u3001C\u7684\u548c\u7b49\u4e8e180\u5ea6\uff0c\u5373A+B+C=180\u5ea6\u3002\u7531\u9898\u610f\u77e5A+C=2B\uff0c\u56e0\u6b64B=60\u5ea6\u3002\u518d\u6839\u636e\u4f59\u5f26\u5b9a\u7406\uff0c\u6709b^2=a^2+c^2-2ac*cosB\u3002\u56e0\u4e3acosB=cos60\u5ea6=1\/2\uff0c\u6240\u4ee5a^2+c^2=2b^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee4\uff1a<\/strong>\u5df2\u77e5\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u4e3a8\u5e73\u65b9\u5398\u7c73\uff0c\u6c42\u5b83\u7684\u5468\u957f\u548c\u8fb9\u957f\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u6b63\u65b9\u5f62\u7684\u6027\u8d28\uff0c\u6b63\u65b9\u5f62\u7684\u56db\u6761\u8fb9\u76f8\u7b49\u3002\u8bbe\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u4e3aa\u5398\u7c73\uff0c\u5219\u5b83\u7684\u9762\u79ef\u4e3aa^2=8\u5e73\u65b9\u5398\u7c73\u3002\u56e0\u6b64\u53ef\u5f97\u5230\u6b63\u65b9\u5f62\u7684\u5468\u957f\u4e3a4a\u5398\u7c73\u3002\u56e0\u4e3aa^2=8\uff0c\u6240\u4ee5a=(8)^(1\/2)\u5398\u7c73\u3002\u56e0\u6b64\u53ef\u5f97\u5230\u6b63\u65b9\u5f62\u7684\u5468\u957f\u4e3a4*(8)^(1\/2)\u5398\u7c73\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee5\uff1a<\/strong>\u5df2\u77e5\u4e09\u89d2\u5f62ABC\u7684\u4e09\u4e2a\u5185\u89d2A\u3001B\u3001C\u6ee1\u8db3A+C=2B\uff0c\u6c42\u8bc1\uff1a\u4e09\u6761\u8fb9a\u3001b\u3001c\u6ee1\u8db3a^2+c^2=2b^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406\u548c\u4f59\u5f26\u5b9a\u7406\u7684\u5e94\u7528\u3002\u9996\u5148\u6839\u636e\u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406\u53ef\u77e5A+C=180\u5ea6-B\uff0c\u53732B=180\u5ea6-B\uff0c\u89e3\u5f97B=60\u5ea6\u3002\u7136\u540e\u6839\u636e\u4f59\u5f26\u5b9a\u7406\u53ef\u77e5b^2=a^2+c^2-2ac*cosB\uff0c\u5c06B\u4ee3\u5165\u53ef\u5f97b^2=(a^2+c^2)-ac\u3002\u518d\u6839\u636e\u57fa\u672c\u4e0d\u7b49\u5f0f\u53ef\u5f97a^2+c^2&gt;=2ac\uff0c\u5f53\u4e14\u4ec5\u5f53a=c\u65f6\u53d6\u7b49\u53f7\u3002\u56e0\u6b64b^2=(a^2+c^2)-ac&gt;=ac-ac=0\uff0c\u5373a^2+c^2&gt;=b^2\u3002\u53c8\u56e0\u4e3a\u5f53\u4e14\u4ec5\u5f53a=c\u65f6\u53d6\u7b49\u53f7\uff0c\u6240\u4ee5a^2+c^2=2b^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee6\uff1a<\/strong>\u6c42\u65b9\u7a0bx^2-4x+4=0\u7684\u89e3\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u6cd5\u3002\u53ef\u4ee5\u5c06\u65b9\u7a0b\u5316\u4e3a(x-2)^2=0\uff0c\u89e3\u5f97x=2\u3002\u56e0\u6b64\u65b9\u7a0b\u7684\u89e3\u4e3ax=2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee7 &#8211; 2023\u5e74\u771f\u9898\uff1a<\/strong>\u4e00\u4e2a\u7b49\u5dee\u6570\u5217\u7684\u524d\u4e24\u9879\u5206\u522b\u4e3a1\u548c3\uff0c\u6c42\u5b83\u7684\u7b2c10\u9879\u3002\uff08\u6ce8\uff1a\u6b64\u9898\u4e0e\u5c0f\u5b66\u9636\u6bb5\u7684\u7b2c2\u9898\u76f8\u540c\uff09<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u7b49\u5dee\u6570\u5217\u7684\u6027\u8d28\u548c\u901a\u9879\u516c\u5f0f\u3002\u6839\u636e\u7b49\u5dee\u6570\u5217\u7684\u6027\u8d28\uff0c\u53ef\u77e5\u516c\u5deed=(3-1)\/1=2\u3002\u6839\u636e\u7b49\u5dee\u6570\u5217\u7684\u901a\u9879\u516c\u5f0fa_n=a_1+(n-1)d\uff0c\u53ef\u5f97\u7b2c10\u9879a_10=1+(10-1)\u00d72=21\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee8 &#8211; 2021\u5e74\u771f\u9898\uff1a<\/strong>\u5df2\u77e5\u4e09\u89d2\u5f62ABC\u7684\u4e09\u4e2a\u5185\u89d2A\u3001B\u3001C\u6ee1\u8db3A+C=2B\uff0c\u6c42\u8bc1\uff1a\u4e09\u6761\u8fb9a\u3001b\u3001c\u6ee1\u8db3a^2+c^2=2b^2\u3002\uff08\u6ce8\uff1a\u6b64\u9898\u4e0e\u5c0f\u5b66\u9636\u6bb5\u7684\u7b2c1\u9898\u76f8\u540c\uff09<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406\u548c\u4f59\u5f26\u5b9a\u7406\u7684\u5e94\u7528\u3002\u9996\u5148\u6839\u636e\u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406\u53ef\u77e5A+C=180\u5ea6-B\uff0c\u53732B=180\u5ea6-B\uff0c\u89e3\u5f97B=60\u5ea6\u3002\u7136\u540e\u6839\u636e\u4f59\u5f26\u5b9a\u7406\u53ef\u77e5b^2=a^2+c^2-2ac*cosB\uff0c\u5c06B\u4ee3\u5165\u53ef\u5f97b^2=(a^2+c^2)-ac\u3002\u518d\u6839\u636e\u57fa\u672c\u4e0d\u7b49\u5f0f\u53ef\u5f97a^2+c^2&gt;=2ac\uff0c\u5f53\u4e14\u4ec5\u5f53a=c\u65f6\u53d6\u7b49\u53f7\u3002\u56e0\u6b64b^2=(a^2+c^2)-ac&gt;=ac-ac=0\uff0c\u5373a^2+c^2&gt;=b^2\u3002\u53c8\u56e0\u4e3a\u5f53\u4e14\u4ec5\u5f53a=c\u65f6\u53d6\u7b49\u53f7\uff0c\u6240\u4ee5a^2+c^2=2b^2\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee9 &#8211; 2019\u5e74\u771f\u9898\uff1a<\/strong>\u6c42\u51fd\u6570y=x^3-6x^2+9x-4\u7684\u56fe\u50cf\u4e0ex\u8f74\u4ea4\u70b9\u7684\u5750\u6807\u3002\uff08\u6ce8\uff1a\u6b64\u9898\u4e0e\u521d\u4e2d\u9636\u6bb5\u7684\u7b2c4\u9898\u76f8\u540c\uff09<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u4e09\u6b21\u51fd\u6570\u7684\u56fe\u50cf\u4e0ex\u8f74\u7684\u4ea4\u70b9\u3002\u4ee4y=0\uff0c\u5f97x^3-<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee10 &#8211; 2020\u5e74\u771f\u9898\uff1a<\/strong>\u6c42\u65b9\u7a0bx^4-6x^3+9x^2-4x+4=0\u7684\u89e3\u3002\uff08\u6ce8\uff1a\u6b64\u9898\u4e0e\u521d\u4e2d\u9636\u6bb5\u7684\u7b2c3\u9898\u76f8\u540c\uff09<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u8003\u5bdf\u7684\u662f\u4e00\u5143\u9ad8\u6b21\u65b9\u7a0b\u7684\u89e3\u6cd5\u3002\u53ef\u4ee5\u5c06\u65b9\u7a0b\u5316\u4e3a(x^2-4x+4)(x^2+1)=0\uff0c\u89e3\u5f97x=4\u6216x=-1\u3002\u56e0\u6b64\u65b9\u7a0b\u7684\u89e3\u4e3ax=4\u6216x=-1\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"math-kangaroo-2019-2025%e5%b9%b4%e7%9c%9f%e9%a2%98%e5%8f%8a%e8%a7%a3%e6%9e%90%e9%ab%98%e4%b8%ad%e9%98%b6%e6%ae%b5%ef%bc%8815-18%e5%b2%81%ef%bc%89\"><\/span>Math Kangaroo 2019-2025\u5e74\u771f\u9898\u53ca\u89e3\u6790|\u9ad8\u4e2d\u9636\u6bb5\uff0815-18\u5c81\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><span style=\"font-weight: 400;\">\u5173\u4e8e\u9ad8\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\uff0c\u672c\u6587\u5c31\u4e0d\u518d\u5217\u51fa\u592a\u591a\uff0c\u56e0\u4e3a\u5927\u591a\u8003\u8bd5\u6570\u636e\u663e\u793a\uff0c\u62a5\u8003\u9ad8\u9636\u6bb5\u7684\u888b\u9f20\u7ade\u8d5b\u4eba\u6570\u5f88\u5c11\uff0c\u5982\u679c\u9700\u8981\u66f4\u591a\uff0c\u53ef\u4ee5\u54a8\u8be2<strong><a href=\"https:\/\/www.wukongsch.com\/math\/\">\u609f\u7a7a\u6559\u80b2<\/a><\/strong>\uff0c\u65d7\u4e0b\u7684\u609f\u7a7a\u6570\u5b66\u4e2d\u5e38\u5e74\u5f00\u8bbe\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u8bfe\u7a0b\u51b2\u523a\u73ed\uff0c\u6709\u5f88\u591a\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\uff0c\u5927\u5bb6\u4e5f\u53ef\u7ebf\u4e0a\u641c\u7d22<strong>\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u9898\u5e93<\/strong>\u4e0b\u8f7d\uff0c\u62e5\u6709\u66f4\u591a\u771f\u9898\u80fd\u6709\u52a9\u4e8e\u63d0\u4f9b\u5168\u9762\u3001\u7cbe\u51c6\u3001\u6700\u65b0\u3001\u4f18\u8d28\u548c\u514d\u8d39\u7684\u6570\u5b66\u5b66\u4e60\u8d44\u6e90\u3002\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u9898\u5e93\u6db5\u76d6\u4e86\u5404\u4e2a\u5e74\u9f84\u6bb5\u548c\u4e0d\u540c\u96be\u5ea6\u7684\u6570\u5b66\u9898\u76ee\uff0c\u5e76\u4e14\u6839\u636e\u4e0d\u540c\u5e74\u7ea7\u548c\u77e5\u8bc6\u70b9\u8fdb\u884c\u5206\u7c7b\uff0c\u65b9\u4fbf\u5927\u5bb6\u6839\u636e\u81ea\u8eab\u9700\u6c42\u8fdb\u884c\u4e0b\u8f7d\u548c\u4f7f\u7528\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"554\" height=\"435\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u9898\u5e93\u4e0b\u8f7d.jpg\" alt=\"\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u9898\u5e93\u4e0b\u8f7d\" class=\"wp-image-17631\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u9898\u5e93\u4e0b\u8f7d.jpg 554w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u9898\u5e93\u4e0b\u8f7d-300x236.jpg 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure><\/div>\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee1 &#8211; 2023\u5e74\u771f\u9898\uff1a<\/strong>\u5df2\u77e5\u51fd\u6570f(x)=x^3-6x^2+9x,\u6c42f(x)\u5728\u533a\u95f4[-2,2]\u4e0a\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u9996\u5148\u6c42\u51fa\u51fd\u6570f(x)\u7684\u4e00\u9636\u5bfc\u6570f'(x)=3x^2-12x+9\u3002\u4ee4f'(x)=0\u89e3\u5f97x=1\u6216x=3\u3002\u7531\u6b64\u53ef\u77e5f(x)\u5728\u533a\u95f4[-2,2]\u4e0a\u6709\u6781\u5927\u503c\u70b9x=1\u548c\u6781\u5c0f\u503c\u70b9x=3\u3002\u56e0\u6b64\u53ef\u8ba1\u7b97\u51faf(x)\u5728\u533a\u95f4[-2,2]\u4e0a\u7684\u6700\u5927\u503c\u4e3af(-2)=8,\u6700\u5c0f\u503c\u4e3af(3)=-9\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\"><strong>\u9898\u76ee2 &#8211; 2023\u5e74\u771f\u9898\uff1a<\/strong>\u5df2\u77e5\u7b49\u5dee\u6570\u5217{an}\u7684\u9996\u9879a1=1,\u516c\u5deed=2,\u6c42\u8be5\u6570\u5217\u7684\u524dn\u9879\u548cSn\u4ee5\u53ca\u7b2cn\u9879an\u3002<\/span><\/p>\n\n\n\n<p><span style=\"font-weight: 400;\">\u89e3\u6790\uff1a\u6839\u636e\u7b49\u5dee\u6570\u5217\u7684\u6027\u8d28\uff0c\u53ef\u5f97\u5230\u7b49\u5dee\u6570\u5217\u7684\u901a\u9879\u516c\u5f0f\u4e3aan=a1+(n-1)d\u3002\u56e0\u6b64\u7b2cn\u9879an=1+(n-1)\u00d72=2n-1\u3002\u800c\u8be5\u6570\u5217\u7684\u524dn\u9879\u548cSn\u7b49\u4e8en\/2(a1+an)\u3002\u56e0\u6b64\u53ef\u8ba1\u7b97\u51faS<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e8%a2%8b%e9%bc%a0%e6%95%b0%e5%ad%a6%e7%ab%9e%e8%b5%9b%e8%a7%a3%e9%a2%98%e8%a6%81%e7%82%b9%ef%bc%88%e5%90%84%e5%b9%b4%e7%ba%a7%e9%98%b6%e6%ae%b5%ef%bc%89\"><\/span><strong>\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u89e3\u9898\u8981\u70b9\uff08\u5404\u5e74\u7ea7\u9636\u6bb5\uff09<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"1024\" height=\"217\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901-1024x217.jpg\" alt=\"\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898+\u89e3\u67901\" class=\"wp-image-17630\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901-1024x217.jpg 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901-300x63.jpg 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901-768x162.jpg 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901-920x195.jpg 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2023\/10\/\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u771f\u9898\u89e3\u67901.jpg 1314w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\"><strong>1. \u5c0f\u5b66\u9636\u6bb5\uff086-12\u5c81\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">\u4ed4\u7ec6\u9605\u8bfb\u9898\u76ee\uff1a\u9996\u5148\uff0c\u8981\u4ed4\u7ec6\u9605\u8bfb\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u6216\u8005\u5386\u5e74\u771f\u9898\u7684\u9898\u76ee\uff0c\u4e86\u89e3\u95ee\u9898\u7684\u80cc\u666f\u548c\u8981\u6c42\u3002\u5bf9\u4e8e\u4e00\u4e9b\u8f83\u4e3a\u590d\u6742\u7684\u9898\u76ee\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u5c06\u95ee\u9898\u5206\u89e3\u6210\u51e0\u4e2a\u5c0f\u95ee\u9898\uff0c\u9010\u4e2a\u89e3\u51b3\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u719f\u7ec3\u638c\u63e1\u57fa\u672c\u6982\u5ff5\uff1a\u5728\u505a\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\u65f6\uff0c\u9700\u8981\u719f\u7ec3\u638c\u63e1\u57fa\u672c\u7684\u6570\u5b66\u6982\u5ff5\u548c\u516c\u5f0f\u3002\u4f8b\u5982\uff0c\u52a0\u51cf\u4e58\u9664\u3001\u5206\u6570\u548c\u5c0f\u6570\u7684\u8ba1\u7b97\u3001\u7b80\u5355\u7684\u51e0\u4f55\u56fe\u5f62\u9762\u79ef\u8ba1\u7b97\u7b49\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u7ec6\u5fc3\u8ba1\u7b97\uff1a\u5c0f\u5b66\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\u901a\u5e38\u8f83\u4e3a\u7b80\u5355\uff0c\u4f46\u4ecd\u7136\u9700\u8981\u6ce8\u610f\u8ba1\u7b97\u7ec6\u8282\u3002\u5728\u8ba1\u7b97\u65f6\uff0c\u8981\u9075\u5faa\u8fd0\u7b97\u987a\u5e8f\uff0c\u6ce8\u610f\u7b26\u53f7\u548c\u5355\u4f4d\u7684\u6b63\u786e\u6027\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u5c1d\u8bd5\u591a\u79cd\u65b9\u6cd5\uff1a\u5bf9\u4e8e\u4e00\u4e9b\u9898\u76ee\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u591a\u79cd\u65b9\u6cd5\u6765\u89e3\u51b3\u3002\u4f8b\u5982\uff0c\u4e00\u4e9b\u51e0\u4f55\u9898\u76ee\u53ef\u80fd\u6709\u591a\u79cd\u89e3\u6cd5\uff0c\u53ef\u4ee5\u901a\u8fc7\u5c1d\u8bd5\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u62d3\u5c55\u601d\u8def\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u5584\u4e8e\u603b\u7ed3\u89c4\u5f8b\uff1a\u5728\u505a\u9898\u76ee\u65f6\uff0c\u8981\u5584\u4e8e\u603b\u7ed3\u89c4\u5f8b\u548c\u7ecf\u9a8c\uff0c\u4ee5\u4fbf\u5728\u4ee5\u540e\u7684\u89e3\u9898\u4e2d\u66f4\u52a0\u719f\u7ec3\u548c\u9ad8\u6548\u3002<\/span><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2. \u521d\u4e2d\u9636\u6bb5\uff0812-15\u5c81\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">\u638c\u63e1\u57fa\u672c\u89e3\u9898\u6b65\u9aa4\uff1a\u521d\u4e2d\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u96be\u5ea6\u52a0\u5927\uff0c\u9700\u8981\u638c\u63e1\u57fa\u672c\u7684\u89e3\u9898\u6b65\u9aa4\u3002\u4f8b\u5982\uff0c\u89e3\u65b9\u7a0b\u6216\u4e0d\u7b49\u5f0f\u65f6\uff0c\u9700\u8981\u9075\u5faa\u4e00\u5b9a\u7684\u6b65\u9aa4\uff0c\u5982\u53bb\u5206\u6bcd\u3001\u53bb\u62ec\u53f7\u3001\u79fb\u9879\u7b49\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u719f\u7ec3\u8fd0\u7528\u6570\u5b66\u5de5\u5177\uff1a\u521d\u4e2d\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u4e2d\uff0c\u53ef\u80fd\u4f1a\u6d89\u53ca\u5230\u4e00\u4e9b\u8f83\u4e3a\u590d\u6742\u7684\u6570\u5b66\u5de5\u5177\uff0c\u5982\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb\u3001\u4e8c\u6b21\u51fd\u6570\u56fe\u50cf\u7b49\u3002\u9700\u8981\u719f\u7ec3\u638c\u63e1\u8fd9\u4e9b\u5de5\u5177\u7684\u5e94\u7528\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u62d3\u5c55\u601d\u7ef4\u65b9\u5f0f\uff1a\u521d\u4e2d\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u66f4\u52a0\u6ce8\u91cd\u601d\u7ef4\u80fd\u529b\u7684\u8003\u5bdf\u3002\u56e0\u6b64\uff0c\u5728\u505a\u9898\u76ee\u65f6\uff0c\u8981\u5c1d\u8bd5\u62d3\u5c55\u601d\u7ef4\u65b9\u5f0f\uff0c\u4ece\u4e0d\u540c\u7684\u89d2\u5ea6\u6765\u601d\u8003\u95ee\u9898\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u5584\u4e8e\u5f52\u7eb3\u603b\u7ed3\uff1a\u521d\u4e2d\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u7c7b\u578b\u66f4\u52a0\u591a\u6837\uff0c\u9700\u8981\u5584\u4e8e\u5f52\u7eb3\u603b\u7ed3\u5404\u7c7b\u9898\u578b\u7684\u89e3\u9898\u6280\u5de7\u548c\u65b9\u6cd5\u3002\u540c\u65f6\uff0c\u4e5f\u8981\u603b\u7ed3\u81ea\u5df1\u5728\u89e3\u9898\u4e2d\u7684\u4e0d\u8db3\u4e4b\u5904\uff0c\u4ee5\u4fbf\u4eca\u540e\u66f4\u597d\u5730\u63d0\u9ad8\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u52a0\u5f3a\u8ba1\u7b97\u80fd\u529b\uff1a\u521d\u4e2d\u9636\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u8ba1\u7b97\u91cf\u8f83\u5927\uff0c\u9700\u8981\u52a0\u5f3a\u8ba1\u7b97\u80fd\u529b\u3002\u53ef\u4ee5\u901a\u8fc7\u7ec3\u4e60\u4e00\u4e9b\u8ba1\u7b97\u9898\u6765\u63d0\u9ad8\u81ea\u5df1\u7684\u8ba1\u7b97\u6c34\u5e73\u3002<\/span><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3. \u9ad8\u4e2d\u9636\u6bb5\uff0815-18\u5c81\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">\u638c\u63e1\u8f83\u96be\u77e5\u8bc6\u70b9\uff1a\u9ad8\u4e2d\u9636\u6bb5\u7684<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/span>\u6d89\u53ca\u7684\u77e5\u8bc6\u70b9\u8f83\u4e3a\u6df1\u5165\u548c\u590d\u6742\uff0c\u9700\u8981\u638c\u63e1\u8f83\u96be\u7684\u77e5\u8bc6\u70b9\u3002\u4f8b\u5982\uff0c\u89e3\u6790\u51e0\u4f55\u3001\u6570\u5217\u3001\u5fae\u79ef\u5206\u7b49\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u6ce8\u91cd\u7ec6\u8282\uff1a\u9ad8\u4e2d\u9636\u6bb5\u7684<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/span>\u66f4\u52a0\u6ce8\u91cd\u7ec6\u8282\u548c\u89c4\u8303\u6027\u3002\u5728\u89e3\u9898\u65f6\uff0c\u8981\u6ce8\u610f\u7ec6\u8282\u548c\u7b26\u53f7\u7684\u6b63\u786e\u6027\uff0c\u907f\u514d\u56e0\u4e3a\u4e00\u4e9b\u5c0f\u9519\u8bef\u800c\u5931\u5206\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u638c\u63e1\u89e3\u9898\u6280\u5de7\uff1a\u9ad8\u4e2d\u9636\u6bb5\u7684<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/span>\u7c7b\u578b\u66f4\u52a0\u591a\u6837\uff0c\u9700\u8981\u638c\u63e1\u5404\u79cd\u89e3\u9898\u6280\u5de7\u548c\u65b9\u6cd5\u3002\u53ef\u4ee5\u901a\u8fc7\u591a\u505a\u9898\u3001\u591a\u603b\u7ed3\u3001\u591a\u5f52\u7eb3\u7b49\u65b9\u5f0f\u6765\u63d0\u9ad8\u81ea\u5df1\u7684\u89e3\u9898\u80fd\u529b\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u62d3\u5c55\u601d\u7ef4\u7a7a\u95f4\uff1a\u9ad8\u4e2d\u9636\u6bb5\u7684<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/span>\u66f4\u52a0\u6ce8\u91cd\u62d3\u5c55\u601d\u7ef4\u7a7a\u95f4\u7684\u80fd\u529b\u3002\u53ef\u4ee5\u901a\u8fc7\u505a\u4e00\u4e9b\u601d\u7ef4\u8bad\u7ec3\u9898\u6765\u62d3\u5c55\u81ea\u5df1\u7684\u601d\u7ef4\u7a7a\u95f4\u548c\u80fd\u529b\u3002<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">\u52a0\u5f3a\u7efc\u5408\u7d20\u8d28\uff1a\u9ad8\u4e2d\u9636\u6bb5\u7684<span style=\"font-weight: 400;\">\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898<\/span>\u4e0d\u4ec5\u8003\u5bdf\u5b66\u751f\u7684\u6570\u5b66\u80fd\u529b\uff0c\u8fd8\u8003\u5bdf\u5b66\u751f\u7684\u7efc\u5408\u7d20\u8d28\u3002\u56e0\u6b64\uff0c\u5728\u505a\u9898\u76ee\u65f6\uff0c\u8981\u6ce8\u610f\u62d3\u5c55\u81ea\u5df1\u7684\u77e5\u8bc6\u9762\u548c\u89c6\u91ce\uff0c\u52a0\u5f3a\u7efc\u5408\u7d20\u8d28\u7684\u57f9\u517b\u3002<\/span><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2026%e8%a2%8b%e9%bc%a0%e6%95%b0%e5%ad%a6%e7%ab%9e%e8%b5%9b%e9%a2%84%e6%b5%8b%e4%b8%8e%e5%a4%87%e8%80%83%e5%bb%ba%e8%ae%ae\"><\/span>2026\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u9884\u6d4b\u4e0e\u5907\u8003\u5efa\u8bae<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">2026\u7ade\u8d5b\u57fa\u672c\u9884\u6d4b<\/h3>\n\n\n\n<p>\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u4f5c\u4e3a\u5168\u7403\u6700\u5927\u7684\u6570\u5b66\u601d\u7ef4\u6311\u6218\u6d3b\u52a8\uff0c2026\u5e74\u5c06\u7ee7\u7eed\u4fdd\u6301\u5176\u8da3\u5473\u6027\u3001\u8d34\u8fd1\u751f\u6d3b\u548c\u903b\u8f91\u601d\u7ef4\u5bfc\u5411\u7684\u7279\u70b9\u3002\u7ade\u8d5b\u65e5\u671f\u9884\u8ba1\u4e3a<strong>2026\u5e743\u670819\u65e5\uff08\u661f\u671f\u56db\uff09<\/strong>\uff08\u7f8e\u56fd\u53ca\u591a\u6570\u5730\u533a\uff0c\u901a\u5e38\u4e3a3\u6708\u7684\u7b2c\u4e09\u4e2a\u661f\u671f\u56db\uff09\u3002\u8d5b\u5236\u9884\u8ba1\u65e0\u91cd\u5927\u53d8\u5316\uff1a1-12\u5e74\u7ea7\u5206\u4e3a\u591a\u4e2a\u7ea7\u522b\uff08Level 1-12\u6216A-F\u7ec4\uff09\uff0c\u4f4e\u5e74\u7ea724\u9898\u3001\u9ad8\u5e74\u7ea730\u9898\uff0c\u591a\u9009\u9898\u5f62\u5f0f\uff0c75\u5206\u949f\u9650\u65f6\uff0c\u65e0\u8ba1\u7b97\u5668\uff0c\u9519\u7b54\u4e0d\u6263\u5206\u3002<\/p>\n\n\n\n<p>\u57fa\u4e8e\u8fd1\u5e74\u8d8b\u52bf\uff082023-2025\u5e74\uff09\u9884\u6d4b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9898\u76ee\u96be\u5ea6<\/strong>\uff1a\u4f4e\u5e74\u7ea7\uff081-4\u5e74\u7ea7\uff09\u5c06\u7ee7\u7eed\u76f8\u5bf9\u7b80\u5355\uff0c\u6ce8\u91cd\u57fa\u7840\u8fd0\u7b97\u548c\u751f\u6d3b\u5e94\u7528\uff1b\u4e2d\u9ad8\u5e74\u7ea7\uff085-12\u5e74\u7ea7\uff09\u82f1\u8bed\u9898\u5e72\u53ef\u80fd\u66f4\u957f\uff0c\u589e\u52a0\u903b\u8f91\u63a8\u7406\u3001\u6982\u7387\u548c\u591a\u6b65\u51e0\u4f55\u8bc1\u660e\u7684\u6bd4\u91cd\uff0c\u6574\u4f53\u201c\u70e7\u8111\u201d\u611f\u589e\u5f3a\u3002<\/li>\n\n\n\n<li><strong>\u9ad8\u9891\u8003\u70b9<\/strong>\uff1a\u51e0\u4f55\uff08\u9762\u79ef\u3001\u5468\u957f\u3001\u6298\u53e0\u3001\u5bf9\u79f0\uff09\u3001\u6570\u5217\uff08\u6590\u6ce2\u90a3\u5951\u5f0f\u3001\u7b49\u5dee\/\u7b49\u6bd4\uff09\u3001\u903b\u8f91\u8c1c\u9898\u3001\u8ba1\u6570\u95ee\u9898\u3001\u51fd\u6570\u4e0e\u5750\u6807\u5c06\u7ee7\u7eed\u4e3b\u5bfc\u3002\u751f\u6d3b\u573a\u666f\u9898\uff08\u5982\u8d2d\u7269\u5206\u914d\u3001\u884c\u7a0b\u89c4\u5212\uff09\u5360\u6bd4\u9ad8\u3002<\/li>\n\n\n\n<li><strong>\u53d8\u5316\u8d8b\u52bf<\/strong>\uff1a\u82f1\u8bed\u9605\u8bfb\u7406\u89e3\u8981\u6c42\u53ef\u80fd\u8fdb\u4e00\u6b65\u63d0\u5347\uff0c\u5c24\u5176\u9ad8\u4e2d\u7ec4\uff1b\u9898\u76ee\u66f4\u6ce8\u91cd\u521b\u65b0\u601d\u7ef4\u548c\u7a7a\u95f4\u53ef\u89c6\u5316\uff0c\u800c\u975e\u7eaf\u8ba1\u7b97\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u7ade\u8d5b\u62a5\u540d\u9884\u8ba12025\u5e749\u670815\u65e5\u8d77\u5f00\u653e\uff0c\u65e9\u9e1f\u6ce8\u518c\u81f312\u6708\u5e95\uff0c\u5efa\u8bae\u63d0\u524d\u5173\u6ce8\u5b98\u7f51\uff08mathkangaroo.org\u6216\u4e2d\u56fd\u8d5b\u533a\u76f8\u5173\u6e20\u9053\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5907\u8003\u5efa\u8bae<\/h3>\n\n\n\n<p>\u5907\u80032026\u888b\u9f20\u6570\u5b66\u7684\u5173\u952e\u662f\u5237\u5386\u5e74\u771f\u9898 + \u57f9\u517b\u601d\u7ef4 + \u9650\u65f6\u7ec3\u4e60\u3002\u5efa\u8bae\u4ece\u73b0\u5728\u5f00\u59cb\u7cfb\u7edf\u51c6\u5907\uff0c\u81f3\u5c11\u63d0\u524d3-6\u4e2a\u6708\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u8d44\u6e90\uff1a\u5386\u5e74\u771f\u9898\u7ec3\u4e60<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u4f18\u5148\u52372019-2025\u5e74\u771f\u9898\uff08\u5b98\u7f51\u6216\u609f\u7a7a\u6559\u80b2\u7b49\u5e73\u53f0\u53ef\u4e0b\u8f7d\uff09\uff0c\u719f\u6089\u9898\u578b\u548c\u9ad8\u9891\u70b9\u3002<\/li>\n\n\n\n<li>\u4f4e\u5e74\u7ea7\uff1a\u91cd\u70b9\u638c\u63e1\u57fa\u672c\u8fd0\u7b97\u3001\u7b80\u5355\u51e0\u4f55\u548c\u903b\u8f91\u6e38\u620f\u3002<\/li>\n\n\n\n<li>\u4e2d\u9ad8\u5e74\u7ea7\uff1a\u52a0\u5f3a\u82f1\u8bed\u9605\u8bfb\u3001\u8bc1\u660e\u9898\u548c\u591a\u65b9\u6cd5\u89e3\u9898\u3002<\/li>\n\n\n\n<li>\u63a8\u8350\uff1a\u6bcf\u5957\u771f\u9898\u9650\u65f6\u6a21\u62df\uff0c\u5206\u6790\u9519\u9898\uff0c\u5efa\u7acb\u9519\u8bef\u65e5\u5fd7\uff08\u5206\u7c7b\u5982\u201c\u8ba1\u7b97\u5931\u8bef\u201d\u201c\u9605\u8bfb\u8bef\u89e3\u201d\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5206\u9636\u6bb5\u5907\u8003\u7b56\u7565<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u5c0f\u5b66\u4f4e\u5e74\u7ea7\uff081-4\u7ea7\uff09<\/strong>\uff1a\u591a\u73a9\u76ca\u667a\u73a9\u5177\uff08\u4e03\u5de7\u677f\u3001\u6570\u72ec\u3001\u9b54\u65b9\uff09\uff0c\u57f9\u517b\u5174\u8da3\uff1b\u6ce8\u91cd\u4ed4\u7ec6\u5ba1\u9898\u548c\u591a\u89e3\u6cd5\u3002<\/li>\n\n\n\n<li><strong>\u5c0f\u5b66\u9ad8\u5e74\u7ea7\/\u521d\u4e2d\uff085-8\u7ea7\uff09<\/strong>\uff1a\u5f3a\u5316\u51e0\u4f55\u5de5\u5177\uff08\u5982\u5750\u6807\u6cd5\uff09\u3001\u6570\u5217\u548c\u6982\u7387\uff1b\u7ec3\u4e60\u957f\u9898\u5e72\u4fe1\u606f\u63d0\u53d6\u3002<\/li>\n\n\n\n<li><strong>\u9ad8\u4e2d\uff089-12\u7ea7\uff09<\/strong>\uff1a\u6d89\u53ca\u51fd\u6570\u6781\u503c\u3001\u89e3\u6790\u51e0\u4f55\u3001\u7cfb\u5217\u6c42\u548c\uff1b\u6269\u5c55\u5230AMC\u7c7b\u4f3c\u9898\u76ee\u5bf9\u6bd4\u7ec3\u4e60\u3002<\/li>\n\n\n\n<li>\u901a\u7528\uff1a\u6bcf\u5468\u590d\u4e60\u9ad8\u9891\u4e3b\u9898\uff0c30\u5929\u540e\u590d\u76d8\uff1b\u52a0\u5165\u6a21\u62df\u8003\uff0c\u63d0\u5347\u65f6\u95f4\u7ba1\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5b9e\u7528\u6280\u5de7<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u52a0\u5f3a\u82f1\u8bed\u9605\u8bfb\uff08\u5c24\u5176\u662f\u4e2d\u9ad8\u5e74\u7ea7\uff09\uff0c\u7ec3\u4e60\u5feb\u901f\u63d0\u53d6\u5173\u952e\u4fe1\u606f\u3002<\/li>\n\n\n\n<li>\u65e0\u7f5a\u5206\u673a\u5236\uff1a\u9f13\u52b1\u5927\u80c6\u731c\u7b54\uff0c\u4f46\u4f18\u5148\u786e\u4fdd\u57fa\u7840\u9898\u5168\u5bf9\u3002<\/li>\n\n\n\n<li>\u5982\u76ee\u6807\u91d1\u5956\/\u8d85\u91d1\u5956\uff1a\u5efa\u8bae\u4e13\u4e1a\u8f85\u5bfc\uff0c\u7cfb\u7edf\u5b66\u4e60\u8d85\u7eb2\u70b9\u548c\u7b54\u9898\u6280\u5de7\u3002<\/li>\n\n\n\n<li>\u989d\u5916\u8d44\u6e90\uff1a\u5b98\u7f51\u6837\u9898\u3001Think Academy\u6216\u609f\u7a7a\u56fd\u9645\u6570\u5b66\u8bfe\u7a0b\u3001\u8fc7\u53bb\u8bba\u6587PDF\u514d\u8d39\u4e0b\u8f7d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2026%e5%b9%b4%e8%a2%8b%e9%bc%a0%e6%95%b0%e5%ad%a6%e6%ad%a3%e5%bc%8f%e8%80%83%e8%af%95%e6%97%b6%e9%97%b4%ef%bc%88math-kangaroo-2026-date%ef%bc%89\"><\/span>2026\u5e74\u888b\u9f20\u6570\u5b66\u6b63\u5f0f\u8003\u8bd5\u65f6\u95f4\uff08Math Kangaroo 2026 Date\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5f88\u591a\u5bb6\u957f\u5728\u51c6\u5907\u62a5\u540d\u65f6\u6700\u5173\u5fc3\u7684\u95ee\u9898\u4e4b\u4e00\u5c31\u662f\uff1a<strong>2026\u888b\u9f20\u6570\u5b66\u4ec0\u4e48\u65f6\u5019\u8003\u8bd5\uff1f<\/strong><\/p>\n\n\n\n<p>\u6839\u636e\u5b98\u65b9\u4fe1\u606f\uff0c<strong>2026\u5e74\u888b\u9f20\u6570\u5b66\uff08Math Kangaroo\uff09\u5728\u7f8e\u56fd\u7684\u6b63\u5f0f\u6bd4\u8d5b\u65f6\u95f4\u4e3a\uff1a<\/strong><\/p>\n\n\n\n<p>\ud83d\udcc5 <strong>2026\u5e743\u670819\u65e5\uff08\u661f\u671f\u56db\uff09<\/strong><\/p>\n\n\n\n<p>\u888b\u9f20\u6570\u5b66\u6bd4\u8d5b\u901a\u5e38\u6bcf\u5e74\u90fd\u5b89\u6392\u5728<strong>3\u6708\u7684\u7b2c\u4e09\u4e2a\u661f\u671f\u56db<\/strong>\u4e3e\u884c\uff0c\u56e0\u6b642026\u5e74\u7684\u8003\u8bd5\u65e5\u671f\u4e5f\u9075\u5faa\u8fd9\u4e00\u4f20\u7edf\u5b89\u6392\u3002 <\/p>\n\n\n\n<p>\u5728\u8fd9\u4e00\u5929\uff0c\u5168\u7403\u8bb8\u591a\u56fd\u5bb6\u548c\u5730\u533a\u7684\u5b66\u751f\u90fd\u4f1a\u53c2\u52a0\u6bd4\u8d5b\uff0c\u4e0d\u8fc7\u5177\u4f53\u65e5\u671f\u53ef\u80fd\u4f1a\u6839\u636e\u5404\u56fd\u5b89\u6392\u7565\u6709\u4e0d\u540c\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u56fd\u5bb6\/\u5730\u533a<\/th><th>2026\u6bd4\u8d5b\u65f6\u95f4<\/th><\/tr><\/thead><tbody><tr><td>\u7f8e\u56fd<\/td><td>2026\u5e743\u670819\u65e5<\/td><\/tr><tr><td>\u52a0\u62ff\u5927<\/td><td>2026\u5e743\u670822\u65e5<\/td><\/tr><tr><td>\u6cd5\u56fd<\/td><td>2026\u5e743\u670821\u65e5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4e0d\u540c\u56fd\u5bb6\u7684\u6bd4\u8d5b\u65e5\u671f\u7565\u6709\u5dee\u5f02\uff0c\u4f46<strong>\u57fa\u672c\u90fd\u96c6\u4e2d\u57283\u6708\u4e2d\u4e0b\u65ec<\/strong>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2026\u888b\u9f20\u6570\u5b66\u8003\u8bd5\u65f6\u95f4\u5b89\u6392<\/h3>\n\n\n\n<p>\u867d\u7136\u4e0d\u540c\u8003\u70b9\u7684\u5177\u4f53\u65f6\u95f4\u53ef\u80fd\u7565\u6709\u4e0d\u540c\uff0c\u4f46\u6574\u4f53\u8003\u8bd5\u7ed3\u6784\u57fa\u672c\u4e00\u81f4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u23f1 <strong>\u8003\u8bd5\u65f6\u957f\uff1a<\/strong> \u7ea675\u5206\u949f<\/li>\n\n\n\n<li>\ud83d\udcdd <strong>\u9898\u76ee\u6570\u91cf\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>1\u20134\u5e74\u7ea7\uff1a24\u9898<\/li>\n\n\n\n<li>5\u201312\u5e74\u7ea7\uff1a30\u9898<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\ud83d\udccd <strong>\u8003\u8bd5\u5f62\u5f0f\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5b66\u6821\u6216\u8003\u70b9\u7ebf\u4e0b\u8003\u8bd5<\/li>\n\n\n\n<li>\u90e8\u5206\u5730\u533a\u652f\u6301\u5728\u7ebf\u8003\u8bd5<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u8003\u8bd5\u4ee5<strong>\u9009\u62e9\u9898\u5f62\u5f0f<\/strong>\u4e3a\u4e3b\uff0c\u4e3b\u8981\u8003\u5bdf\u903b\u8f91\u63a8\u7406\u3001\u6570\u5b66\u601d\u7ef4\u548c\u95ee\u9898\u89e3\u51b3\u80fd\u529b\uff0c\u800c\u4e0d\u662f\u5355\u7eaf\u8ba1\u7b97\u80fd\u529b\u3002 <\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e5%86%99%e5%9c%a8%e6%9c%80%e5%90%8e\"><\/span>\u5199\u5728\u6700\u540e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><span style=\"font-weight: 400;\">\u6570\u5b66\u771f\u9898\u662f\u6570\u5b66\u77e5\u8bc6\u7684\u7cbe\u534e\u6240\u5728\uff0c\u5b83\u4eec\u65e2\u5305\u542b\u4e86\u57fa\u7840\u7684\u6570\u5b66\u77e5\u8bc6\uff0c\u53c8\u8003\u5bdf\u4e86\u5b66\u751f\u7684\u7efc\u5408\u8fd0\u7528\u80fd\u529b\u3002\u901a\u8fc7\u89e3\u51b3\u8fd9\u4e9b\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u4ee5\u53ca\u5386\u5e74\u771f\u9898\uff0c\u5b66\u751f\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u6570\u5b66\u7684\u57fa\u672c\u6982\u5ff5\u548c\u539f\u7406\uff0c\u638c\u63e1\u89e3\u9898\u6280\u5de7\u548c\u65b9\u6cd5\uff0c\u63d0\u9ad8\u601d\u7ef4\u80fd\u529b\u548c\u89e3\u51b3\u95ee\u9898\u7684\u80fd\u529b\u3002\u540c\u65f6\uff0cMath Kangaroo\u5386\u5e74\u771f\u9898\u4e5f\u662f\u51c6\u5907\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u7684\u91cd\u8981\u8d44\u6e90\uff0c\u901a\u8fc7\u7ec3\u4e60\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\uff0c\u5b66\u751f\u53ef\u4ee5\u66f4\u597d\u5730\u4e86\u89e3\u888b\u9f20\u7ade\u8d5b\u7684\u9898\u578b\u548c\u96be\u5ea6\uff0c\u4e3a\u7ade\u8d5b\u505a\u597d\u5145\u5206\u7684\u51c6\u5907\u3002\u540c\u65f6\uff0c\u5e0c\u671b\u672c\u6587\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u89e3\u9898\u6280\u5de7\u548c\u65b9\u6cd5\u89e3\u6790\uff0c\u5e2e\u52a9\u5b66\u751f\u66f4\u597d\u5730\u89e3\u51b3<a href=\"https:\/\/www.wukongsch.com\/zh\/resources\/math\/math-kangaroo\/\">\u888b\u9f20\u6570\u5b66\u771f\u9898<\/a>\uff0c\u4ece\u800c\u8fbe\u5230\u63d0\u9ad8\u6570\u5b66\u80fd\u529b\u548c\u888b\u9f20\u7ade\u8d5b\u6210\u7ee9\u7684\u76ee\u7684\u3002\u5e0c\u671b\u901a\u8fc7\u9605\u8bfb\u672c\u6587\uff0c\u8bfb\u8005\u80fd\u591f\u66f4\u52a0\u6df1\u5165\u5730\u4e86\u89e3\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u7684\u4ef7\u503c\uff0c\u638c\u63e1\u89e3\u51b3\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u7684\u6280\u5de7\u548c\u65b9\u6cd5\uff0c\u63d0\u9ad8\u81ea\u5df1\u7684\u6570\u5b66\u80fd\u529b\u548c\u7ade\u8d5b\u6210\u7ee9\u3002\u8ba9\u6211\u4eec\u4e00\u8d77\u63a2\u7d22\u6570\u5b66\u7684\u5965\u79d8\uff0c\u8fce\u63a5\u672a\u6765\u7684\u6311\u6218\uff01<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"faqs-%e5%b8%b8%e8%a7%81%e9%97%ae%e9%a2%98%e8%a7%a3%e7%ad%94\"><\/span>FAQs \u5e38\u89c1\u95ee\u9898\u89e3\u7b54<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq\"><div class=\"schema-faq-section\" id=\"faq-question-1763705753009\"><strong class=\"schema-faq-question\">1. Math Kangaroo 2025\u5e74\u7684\u771f\u9898\u4ec0\u4e48\u65f6\u5019\u53ef\u4ee5\u4e0b\u8f7d\uff1f<\/strong> <p class=\"schema-faq-answer\">2025\u5e743\u6708\u6bd4\u8d5b\u7ed3\u675f\u540e\uff0c\u901a\u5e38\u57284\u6708\u5e95\u81f35\u6708\u521d\u5b98\u65b9\u4f1a\u653e\u51fa\u5b8c\u6574PDF\uff08\u542b\u7b54\u6848\uff09\u3002 \u6211\u4eec\u4f1a\u5728\u5b98\u7f51\u66f4\u65b0\u540e24\u5c0f\u65f6\u5185\u540c\u6b65\u66f4\u65b02025\u5e74\u5168\u5957\u771f\u9898+\u8be6\u7ec6\u89e3\u6790\uff0c\u5c4a\u65f6\u53ef\u5728\u672c\u7ad9\u76f4\u63a5\u4e0b\u8f7d\u3002<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1763705758211\"><strong class=\"schema-faq-question\">2. 2023\u30012024\u30012025\u4e09\u5e74\u7684\u9898\u76ee\u96be\u5ea6\u5bf9\u6bd4\u5982\u4f55\uff1f<\/strong> <p class=\"schema-faq-answer\">2023\u5e74\uff1a\u6574\u4f53\u504f\u57fa\u7840\uff0c\u4f4e\u5e74\u7ea7\uff08Level A-C\uff09\u660e\u663e\u6bd42022\u5e74\u7b80\u5355\uff0c\u9ad8\u5e74\u7ea7\uff08Level E-F\uff09\u9605\u8bfb\u91cf\u5927\u3002<br\/>2024\u5e74\uff1a\u65b0\u589e\u5927\u91cf\u201c\u751f\u6d3b\u60c5\u5883+AI\u5143\u7d20\u201d\u8da3\u5473\u9898\uff0c\u8ba1\u7b97\u91cf\u51cf\u5c11\uff0c\u903b\u8f91\u63a8\u7406\u5360\u6bd4\u63d0\u5347\u3002<br\/>2025\u5e74\uff1a\u96be\u5ea6\u5c0f\u5e45\u56de\u5347\uff0cLevel D-F\u7684\u6982\u7387\u7edf\u8ba1\u548c\u591a\u6b65\u9aa4\u63a8\u7406\u9898\u660e\u663e\u589e\u591a\uff0c\u9605\u8bfb\u91cf\u6700\u5927\u3002<br\/>\u603b\u4f53\u8d8b\u52bf\uff1a\u4f4e\u5e74\u7ea7\u8d8a\u6765\u8d8a\u53cb\u597d\uff0c\u9ad8\u5e74\u7ea7\u8d8a\u6765\u8d8a\u201c\u70e7\u8111+\u957f\u82f1\u6587\u201d\u3002<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1763705800402\"><strong class=\"schema-faq-question\">3. \u4f4e\u5e74\u7ea7\uff081-4\u5e74\u7ea7\uff09\u9700\u8981\u5237\u5386\u5e74\u771f\u9898\u5417\uff1f<\/strong> <p class=\"schema-faq-answer\">\u975e\u5e38\u9700\u8981\uff01\u867d\u7136\u9898\u76ee\u7b80\u5355\uff0c\u4f46\u9898\u5e72\u5168\u662f\u82f1\u6587\uff0c\u5b69\u5b50\u7b2c\u4e00\u6b21\u89c1\u5230\u5f88\u5bb9\u6613\u56e0\u4e3a\u8bfb\u4e0d\u61c2\u4e22\u5206\u3002\u5efa\u8bae\u81f3\u5c11\u5237\u8fd15\u5e74\uff082021-2025\uff09\u771f\u9898\uff0c\u628a\u5e38\u7528\u53e5\u578b\u548c\u8bcd\u6c47\u5168\u90e8\u719f\u6089\u3002<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1763705817732\"><strong class=\"schema-faq-question\">4. \u6211\u53ef\u4ee5\u53ea\u5237\u6700\u8fd13\u5e74\uff082023-2025\uff09\u5c31\u591f\u4e86\u5417\uff1f<\/strong> <p class=\"schema-faq-answer\">\u5c0f\u5b66\u4f4e\u5e74\u7ea7\uff08Level A-B\uff09\uff1a\u53ef\u4ee5\uff0c\u8fd13\u5e74\u5c31\u8db3\u591f\u3002<br\/>\u5c0f\u5b66\u9ad8\u5e74\u7ea7\u53ca\u4ee5\u4e0a\uff08Level C-F\uff09\uff1a\u5efa\u8bae\u518d\u52a02019-2022\u5e74\u3002\u5f88\u591a\u7ecf\u5178\u9898\u578b\uff08\u5982\u8718\u86db\u722c\u76d2\u5b50\u3001\u73af\u5f62\u8d5b\u9053\u3001\u5c55\u5f00\u56fe\u6700\u77ed\u8def\u5f84\uff09\u4f1a\u4ee5\u4e0d\u540c\u6570\u5b57\u53cd\u590d\u51fa\u73b0\u3002<\/p> <\/div> <\/div>\n\n\n<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>Math Kangaroo\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7684\u8003\u8bd5\u5df2\u7ecf\u8fc7\u53bb\u3002\u65e0\u8bba\u5b69\u5b50\u662f\u51e0\u5e74\u7ea7\uff0c\u591a\u5c11\u5c81\uff0c\u53ea\u8981\u53c2\u52a0\u4e86\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\uff0c\u90a3\u5237\u9898\u5c31\u5f97\u4ece\u6b64\u65f6\u6b64\u523b\u5f00\u59cb\uff0c\u56e0\u4e3a\uff0c\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u662f\u63d0\u5347\u6570\u5b66\u80fd\u529b\u7684\u91d1\u94a5\u5319\uff01\u901a\u8fc7\u89e3\u51b3\u771f\u9898\uff0c\u53ef\u953b\u70bc\u601d\u7ef4\uff0c\u63d0\u9ad8\u89e3\u9898\u6280\u5de7\uff0c\u4e3a\u7ade\u8d5b\u505a\u597d\u5145\u5206\u51c6\u5907\u3002\u672c\u6587\u6536\u96c6\u4e86\u5404\u5e74\u7ea7\u5404\u5e74\u9f84\u6bb5\u7684\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\uff0c\u5c24\u5176\u662f2023\u5e74\u771f\u9898\u5c45\u591a\uff0c\u5c06\u5177\u6709\u4ee3\u8868\u602723\u9053\u771f\u9898\u6df1\u5165\u5206\u6790\uff0c\u6bcf\u4e00\u9053\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u90fd\u6709\u89e3\u9898\u601d\u8def\u548c\u8981\u70b9\uff0c\u5e2e\u52a9\u5b69\u5b50\u4eec\u5f00\u542f\u6570\u5b66\u4e4b\u65c5\uff0c\u8d62\u5f97\u672a\u6765\uff01 \u5982\u679c\u60a8\u60f3\u5b69\u5b50\u80fd\u5728\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u4e2d\u53d6\u5f97\u66f4\u597d\u7684\u6210\u7ee9\uff0c\u5feb\u6765\u52a0\u5165\u609f\u7a7a\u56fd\u9645\u6570\u5b66\u7ebf\u4e0a\u8bfe\u7a0b-\u888b\u9f20\u7ade\u8d5b\u51b2\u523a\u7cbe\u8bb2\u73ed\uff0c\u7acb\u5373\u70b9\u51fb\u9884\u7ea6\u8bd5\u542c\u5427\uff01 \u4ee5\u4e0b\u662f\u6309\u7167\u4e0d\u540c\u5e74\u7ea7\u548c\u77e5\u8bc6\u70b9\u7cbe\u9009\u768410\u9053\u888b\u9f20\u6570\u5b66\u7ade\u8d5b\u771f\u9898\u53ca\u89e3\u6790\uff1a Math Kangaroo\u5386\u5e74\u771f\u9898\u53ca2023-2025\u5e74\u771f\u9898\u4e0b\u8f7d \uff08\u4e00\uff09\u771f\u9898\u4ef7\u503c\u8bf4\u660e Math Kangaroo\u5386\u5e74\u771f\u9898\u662f\u5907\u8003\u6838\u5fc3\u5de5\u5177\uff0c2023 \u5e74\u771f\u9898\u53ef\u7cbe\u51c6\u5339\u914d\u6700\u65b0\u9898\u578b\u96be\u5ea6\uff0c\u5386\u5e74\u771f\u9898\uff082019-2022\uff09\u53ef\u5e2e\u52a9\u603b\u7ed3\u9ad8\u9891\u8003\u70b9\uff0c\u901a\u8fc7\u9650\u65f6\u5237\u9898\uff0c\u53ef\u63d0\u5347\u89e3\u9898\u901f\u5ea6\uff0c\u719f\u6089\u82f1\u6587\u9898\u5e72\u8868\u8ff0\u3002\u6240\u6709\u4e0b\u8f7d\u771f\u9898\u5747\u9644\u8be6\u7ec6\u89e3\u6790\uff0c\u542b \u201c\u8003\u70b9\u6807\u6ce8\u201d\u201c\u6613\u9519\u70b9\u63d0\u9192\u201d\uff0c\u5e2e\u4f60\u907f\u5f00 80% \u7684\u5e38\u89c1\u9519\u8bef\u3002 \uff08\u4e8c\uff09\u5b98\u65b9\u5206\u7ea7\u8bf4\u660e \u6309\u888b\u9f20\u7ade\u8d5b\u5b98\u65b9\u5206\u7ea7\uff08\u5bf9\u5e94\u5e74\u7ea7\uff09\u6574\u7406\uff0c\u907f\u514d\u6df7\u6dc6\uff1a \uff08\u4e09\uff09\u4e0b\u8f7d\u6e20\u9053\u53ca\u8d44\u6e90\u5217\u8868\uff08\u4f18\u5316\uff09 \u8d44\u6e90\u7c7b\u578b \u5305\u542b\u5185\u5bb9 \u4e0b\u8f7d\u65b9\u5f0f 2023 \u5e74\u5168\u5e74\u7ea7\u771f\u9898\uff08\u542b\u89e3\u6790\uff09 Level A-F \u5171 6 \u5957\u8bd5\u5377 + \u7b54\u6848\u89e3\u6790 \u70b9\u51fb\u5bf9\u5e94\u94fe\u63a5\u4e0b\u8f7d\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-A\u8bd5\u5377)\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-B\u8bd5\u5377)\u888b\u9f20\u6570\u5b66\u7ade\u8d5b2023\u5e74\u7ade\u8d5b(Level-C\u8bd5\u5377) \u5386\u5e74\u771f\u9898\u6c47\u603b\uff082019-2022\uff09 \u5404 Level \u5206\u5e74\u4efd\u8bd5\u5377\uff08\u542b\u90e8\u5206\u89e3\u6790\uff09 Math Kangaroo\u5386\u5e74\u771f\u9898\u5b98\u7f51\u4e0b\u8f7d\u94fe\u63a5\uff1aDownload Pdf Exams from Previous Years &#8211; Math Kangaroo USA Math Kangaroo 2019-2025\u5e74\u771f\u9898\u53ca\u89e3\u6790|\u5c0f\u5b66\u9636\u6bb5\uff086-12\u5c81\uff09 \u9898\u76ee1\uff1a\u4e00\u53ea\u8717\u725b\u4ece\u4e95\u5e95\u5411\u4e0a\u722c\uff0c\u6bcf\u6b21\u722c3\u7c73\uff0c\u7136\u540e\u53c8\u6ed1\u4e0b\u67652\u7c73\uff0c\u95ee\u5b83\u81f3\u5c11\u8981\u722c\u591a\u5c11\u6b21\u624d\u80fd\u722c\u51fa\u4e95\u53e3\uff1f \u89e3\u6790\uff1a\u8717\u725b\u6bcf\u6b21\u722c\u5347\u7684\u9ad8\u5ea6\u4e3a3\u7c73\uff0c\u4f46\u4f1a\u6ed1\u843d2\u7c73\uff0c\u56e0\u6b64\u5b9e\u9645\u6bcf\u6b21\u4e0a\u5347\u9ad8\u5ea6\u4e3a1\u7c73\u3002\u5047\u8bbe\u8717\u725b\u9700\u8981\u722cn\u6b21\u624d\u80fd\u5230\u8fbe\u4e95\u53e3\uff0c\u5219\u524dn-1\u6b21\u5b83\u4e00\u5171\u4e0a\u5347\u4e86n-1\u7c73\uff0c\u7b2cn\u6b21\u5b83\u722c\u4e863\u7c73\u5230\u8fbe\u4e95\u53e3\u3002\u56e0\u6b64\uff0c\u603b\u4e0a\u5347\u9ad8\u5ea6\u81f3\u5c11\u4e3an-1+3=n+2\u7c73\u3002\u56e0\u4e3a\u8717\u725b\u6bcf\u6b21\u5b9e\u9645\u4e0a\u53471\u7c73\uff0c\u6240\u4ee5n+2=12\u7c73\uff0c\u89e3\u5f97n=10\u6b21\u3002 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