{"id":59441,"date":"2026-03-23T17:32:47","date_gmt":"2026-03-23T09:32:47","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=59441"},"modified":"2026-03-24T09:37:42","modified_gmt":"2026-03-24T01:37:42","slug":"amc-geometry-triangles-pythagorean-theorem","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/amc-geometry-triangles-pythagorean-theorem-post-59441\/","title":{"rendered":"AMC 8 \u6838\u5fc3\u8003\u70b9\u89e3\u6790\uff1a\u4e09\u89d2\u5f62\u4e0e\u52fe\u80a1\u5b9a\u7406\u5168\u653b\u7565"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%b8%80%e3%80%81-%e4%b8%ba%e4%bb%80%e4%b9%88%e5%87%a0%e4%bd%95%e5%9c%a8-amc-8-%e4%b8%ad%e5%a6%82%e6%ad%a4%e9%87%8d%e8%a6%81%ef%bc%9f\"><\/span>\u4e00\u3001 \u4e3a\u4ec0\u4e48\u51e0\u4f55\u5728 AMC 8 \u4e2d\u5982\u6b64\u91cd\u8981\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5bf9\u4e8e\u5907\u8003 AMC 8 \u7684\u6d77\u5916\u5b66\u751f\u548c\u5bb6\u957f\u6765\u8bf4\uff0c\u51e0\u4f55\u9898\uff08Geometry\uff09\u5f80\u5f80\u662f\u62c9\u5f00\u5206\u5dee\u7684\u5173\u952e\u3002\u5f88\u591a\u5b66\u751f\u4e0d\u4ec5\u8981\u9762\u5bf9\u590d\u6742\u7684\u56fe\u5f62\u903b\u8f91\uff0c\u8fd8\u8981\u514b\u670d\u82f1\u6587\u6570\u5b66\u4e13\u4e1a\u8bcd\u6c47\u7684\u969c\u788d\u3002\u5728\u6240\u6709\u51e0\u4f55\u8003\u70b9\u4e2d\uff0c<strong>\u4e09\u89d2\u5f62 (Triangles)\u4e0e\u52fe\u80a1\u5b9a\u7406 (Pythagorean Theorem)<\/strong>\u662f\u6bcf\u5e74\u5fc5\u8003\u7684\u7edd\u5bf9\u6838\u5fc3\u3002<\/p>\n\n\n\n<p>\u4f5c\u4e3a\u6d77\u5916\u9752\u5c11\u5e74\u7684\u5728\u7ebf\u6559\u80b2\u4e13\u5bb6\uff0c<strong><a href=\"https:\/\/www.wukongsch.com\/zh\/math\/\">\u609f\u7a7a\u6570\u5b66<\/a><\/strong>\u62e5\u6709\u4e30\u5bcc\u7684\u53cc\u8bed\u6559\u5b66\u7ecf\u9a8c\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u53ea\u8981\u638c\u63e1\u4e86\u6838\u5fc3\u7684\u82f1\u6587\u6570\u5b66\u8bcd\u6c47\u548c\u89e3\u9898\u5957\u8def\uff0c\u51e0\u4f55\u9898\u5176\u5b9e\u662f\u6700\u597d\u62ff\u5206\u7684\u201c\u9001\u5206\u9898\u201d\u3002\u4eca\u5929\uff0c\u609f\u7a7a\u6570\u5b66\u7684\u8001\u5e08\u5c31\u5e26\u5927\u5bb6\u7cfb\u7edf\u68b3\u7406\u8fd9\u4e00\u9ad8\u9891\u8003\u70b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"700\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406-1024x700.png\" alt=\"amc-geometry-triangles-pythagorean-theorem-math\" class=\"wp-image-59468\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406-1024x700.png 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406-300x205.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406-768x525.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406-920x629.png 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u5b9a\u7406.png 1047w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%ba%8c%e3%80%81-amc-8-%e4%b8%ad%e2%80%9c%e4%b8%89%e8%a7%92%e5%bd%a2%e2%80%9d%e9%83%bd%e6%b6%89%e5%8f%8a%e5%93%aa%e4%ba%9b%e6%a0%b8%e5%bf%83%e7%9f%a5%e8%af%86%e7%82%b9%ef%bc%9f\"><\/span>\u4e8c\u3001 AMC 8 \u4e2d\u201c\u4e09\u89d2\u5f62\u201d\u90fd\u6d89\u53ca\u54ea\u4e9b\u6838\u5fc3\u77e5\u8bc6\u70b9\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.\u4e09\u89d2\u5f62\u5185\u89d2\u4e0e\u5916\u89d2 (Interior and Exterior Angles)<\/strong><\/h3>\n\n\n\n<p><strong>\u6838\u5fc3\u77e5\u8bc6\u70b9<\/strong>\uff1a\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u5185\u89d2\u4e4b\u548c\u6c38\u8fdc\u662f<strong>180\u5ea6 (180 degrees)<\/strong>\uff1b\u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\uff0c\u7b49\u4e8e\u4e0e\u5b83\u4e0d\u76f8\u90bb\u7684\u4e24\u4e2a\u5185\u89d2\u4e4b\u548c\u3002<\/p>\n\n\n\n<p><strong>\u53cc\u8bed\u8bcd\u6c47<\/strong>\uff1a\u5185\u89d2 (Interior angle), \u5916\u89d2 (Exterior angle), \u8865\u89d2 (Supplementary angle)\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.\u4e09\u89d2\u5f62\u4e0d\u7b49\u5f0f\u5b9a\u7406 (Triangle Inequality Theorem)<\/strong><\/h3>\n\n\n\n<p><strong>\u6838\u5fc3\u77e5\u8bc6\u70b9<\/strong>\uff1a\u5728\u4efb\u4f55\u4e00\u4e2a\u4e09\u89d2\u5f62\u4e2d\uff0c\u4efb\u610f\u4e24\u6761\u8fb9\u7684\u957f\u5ea6\u4e4b\u548c\uff0c\u5fc5\u987b\u5927\u4e8e\u7b2c\u4e09\u6761\u8fb9\uff1b\u4efb\u610f\u4e24\u6761\u8fb9\u7684\u957f\u5ea6\u4e4b\u5dee\uff0c\u5fc5\u987b\u5c0f\u4e8e\u7b2c\u4e09\u6761\u8fb9\u3002\u8fd9\u662f\u5224\u65ad\u4e09\u6761\u7ebf\u6bb5\u80fd\u5426\u7ec4\u6210\u4e09\u89d2\u5f62\u7684\u552f\u4e00\u6807\u51c6\u3002<\/p>\n\n\n\n<p><strong>\u53cc\u8bed\u516c\u5f0f<\/strong>\uff1aa + b &gt; c \u5e76\u4e14 |a &#8211; b| &lt; c<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3.\u7279\u6b8a\u4e09\u89d2\u5f62\u7684\u5206\u7c7b\u4e0e\u6027\u8d28 (Properties of Special Triangles)<\/strong><\/h3>\n\n\n\n<p><strong>\u7b49\u8170\u4e09\u89d2\u5f62 (Isosceles triangle)<\/strong>\uff1a\u6709\u4e24\u6761\u8fb9\u957f\u5ea6\u76f8\u7b49 (two equal sides)\uff0c\u5bf9\u5e94\u7684\u4e24\u4e2a\u5e95\u89d2\u4e5f\u76f8\u7b49 (two equal base angles)\u3002<\/p>\n\n\n\n<p><strong>\u7b49\u8fb9\u4e09\u89d2\u5f62 (Equilateral triangle)<\/strong>\uff1a\u4e09\u6761\u8fb9\u957f\u5ea6\u5168\u90e8\u76f8\u7b49 (three equal sides)\uff0c\u4e09\u4e2a\u5185\u89d2\u5747\u4e3a 60\u5ea6\u3002<\/p>\n\n\n\n<p><strong>\u76f4\u89d2\u4e09\u89d2\u5f62 (Right triangle)<\/strong>\uff1a\u5305\u542b\u4e00\u4e2a 90\u5ea6\u7684\u76f4\u89d2 (contains a 90\u00b0 angle)\uff0c\u8fd9\u662fAMC 8\u8003\u67e5\u9891\u7387\u6700\u9ad8\u7684\u56fe\u5f62\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>4.\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e0e\u5468\u957f\u516c\u5f0f (Area and Perimeter of a Triangle)<\/strong><\/h3>\n\n\n\n<p><strong>\u9762\u79ef (Area)<\/strong> = 1\/2 \u00d7 \u5e95(base) \u00d7 \u9ad8(height)<\/p>\n\n\n\n<p><strong>\u5468\u957f (Perimeter)<\/strong> = a + b + c (\u4e09\u6761\u8fb9\u957f\u76f8\u52a0)<\/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=\"%e4%b8%89%e3%80%81-%e6%a0%b8%e5%bf%83%e9%87%8d%e9%9a%be%e7%82%b9%ef%bc%9a%e5%8b%be%e8%82%a1%e5%ae%9a%e7%90%86-pythagorean-theorem-%e6%b7%b1%e5%ba%a6%e8%ae%b2%e8%a7%a3\"><\/span>\u4e09\u3001 \u6838\u5fc3\u91cd\u96be\u70b9\uff1a\u52fe\u80a1\u5b9a\u7406 (Pythagorean Theorem) \u6df1\u5ea6\u8bb2\u89e3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4ec0\u4e48\u662f\u52fe\u80a1\u5b9a\u7406\uff1f(What is the Pythagorean Theorem?)<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6982\u5ff5\u8bb2\u89e3<\/strong>\uff1a\u5728\u4efb\u610f\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u4e24\u6761\u76f4\u89d2\u8fb9\u7684\u5e73\u65b9\u548c\uff0c\u7b49\u4e8e\u659c\u8fb9\u7684\u5e73\u65b9\u3002\u8fd9\u662f\u89e3\u51b3\u6240\u6709\u76f4\u89d2\u4e09\u89d2\u5f62\u8fb9\u957f\u95ee\u9898\u7684\u4e07\u80fd\u94a5\u5319\u3002<\/li>\n\n\n\n<li><strong>\u53cc\u8bed\u516c\u5f0f\u4e0e\u8bcd\u6c47<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u516c\u5f0f<\/strong>\uff1aa\u00b2 + b\u00b2 = c\u00b2<\/li>\n\n\n\n<li>\u76f4\u89d2\u8fb9\uff1aLegs (\u901a\u5e38\u7528 a \u548c b \u8868\u793a)<\/li>\n\n\n\n<li>\u659c\u8fb9\uff1aHypotenuse (\u901a\u5e38\u7528 c \u8868\u793a\uff0c\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\u6700\u957f\u7684\u4e00\u6761\u8fb9)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"669\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3-1024x669.png\" alt=\"amc-triangles-wukong-math\" class=\"wp-image-59469\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3-1024x669.png 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3-300x196.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3-768x501.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3-920x601.png 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/03\/AMC8-\u52fe\u80a1\u603b\u7ed3.png 1046w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>AMC 8 \u5fc5\u80cc\u7684\u201c\u52fe\u80a1\u6570\u201d (Common Pythagorean Triples)<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5907\u8003\u6280\u5de7<\/strong>\uff1a\u5728AMC 8\u8fd9\u6837\u53ea\u670940\u5206\u949f\u3001\u9700\u8981\u5b8c\u621025\u9898\u7684\u9ad8\u538b\u8003\u8bd5\u4e2d\uff0c\u6b7b\u7b97 a\u00b2 + b\u00b2 = c\u00b2 \u592a\u6d6a\u8d39\u65f6\u95f4\u3002\u719f\u8bb0\u5e38\u89c1\u7684\u201c\u52fe\u80a1\u6570\u201d\u7ec4\u5408\uff0c\u53ef\u4ee5\u5e2e\u52a9\u8003\u751f\u5b9e\u73b0\u201c\u79d2\u51fa\u7b54\u6848\u201d\u3002<\/li>\n\n\n\n<li><strong>\u6838\u5fc3\u5fc5\u80cc\u7ec4\u5408<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7ec4\u5408\u4e00\uff1a3, 4, 5 (\u53ca\u5176\u540c\u6bd4\u4f8b\u653e\u5927\u7684\u500d\u6570\uff0c\u5982\uff1a6, 8, 10 \u6216\u8005 9, 12, 15)<\/li>\n\n\n\n<li>\u7ec4\u5408\u4e8c\uff1a5, 12, 13<\/li>\n\n\n\n<li>\u7ec4\u5408\u4e09\uff1a8, 15, 17<\/li>\n\n\n\n<li>\u7ec4\u5408\u56db\uff1a7, 24, 25<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u8fdb\u9636\u8003\u70b9\uff1a\u7279\u6b8a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u6bd4\u4f8b (Special Right Triangles)<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>45\u00b0-45\u00b0-90\u00b0 \u4e09\u89d2\u5f62 (\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62)<\/strong>\uff1a\u4e24\u6761\u76f4\u89d2\u8fb9\u76f8\u7b49\u3002\u8fb9\u957f\u6bd4\u4f8b\u56fa\u5b9a\u4e3a 1 : 1 : \u221a2 (\u76f4\u89d2\u8fb9 : \u76f4\u89d2\u8fb9 : \u659c\u8fb9)\u3002<\/li>\n\n\n\n<li><strong>30\u00b0-60\u00b0-90\u00b0 \u4e09\u89d2\u5f62<\/strong>\uff1a\u8fb9\u957f\u6bd4\u4f8b\u56fa\u5b9a\u4e3a 1 : \u221a3 : 2 (\u77ed\u76f4\u89d2\u8fb9 : \u957f\u76f4\u89d2\u8fb9 : \u659c\u8fb9)\u3002\u8bb0\u4f4f\uff1a30\u5ea6\u89d2\u5bf9\u7740\u6700\u77ed\u7684\u8fb9\uff0c\u659c\u8fb9\u662f\u6700\u77ed\u8fb9\u76842\u500d\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e5%9b%9b%e3%80%81-amc-8-%e6%a8%a1%e6%8b%9f%e9%a2%98%e5%ae%9e%e6%88%98%e6%bc%94%e7%bb%83\"><\/span>\u56db\u3001 AMC 8 \u6a21\u62df\u9898\u5b9e\u6218\u6f14\u7ec3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4f8b\u9898 1\uff1a\u57fa\u7840\u52fe\u80a1\u5b9a\u7406\u4e0e\u9762\u79ef\u7684\u7ed3\u5408 (Basic Application)<\/strong><\/h3>\n\n\n\n<p>In right triangle ABC, the hypotenuse AC has length 13, and leg AB has length 5. What is the area of the triangle?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u5728\u76f4\u89d2\u4e09\u89d2\u5f62 ABC \u4e2d\uff0c\u659c\u8fb9 AC \u7684\u957f\u5ea6\u4e3a 13\uff0c\u76f4\u89d2\u8fb9 AB \u7684\u957f\u5ea6\u4e3a 5\u3002\u6c42\u8be5\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u53cc\u8bed\u89e3\u6790\u6b65\u9aa4 (Solution)<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>\u8bc6\u522b\u52fe\u80a1\u6570 (Identify the Pythagorean triple)<\/strong>: \u770b\u5230\u659c\u8fb9\u662f 13\uff0c\u4e00\u6761\u76f4\u89d2\u8fb9\u662f 5\uff0c\u7acb\u523b\u8054\u60f3\u5230\u7ecf\u5178\u52fe\u80a1\u6570 5, 12, 13\u3002<\/li>\n\n\n\n<li><strong>\u5f97\u51fa\u53e6\u4e00\u6761\u76f4\u89d2\u8fb9 (Find the other leg)<\/strong>: \u56e0\u6b64\uff0c\u53e6\u4e00\u6761\u76f4\u89d2\u8fb9 BC \u7684\u957f\u5ea6\u4e3a 12\u3002<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97\u9762\u79ef (Calculate Area)<\/strong>: \u4e09\u89d2\u5f62\u9762\u79ef = 1\/2 \u00d7 \u5e95 \u00d7 \u9ad8 = 1\/2 \u00d7 5 \u00d7 12 = 30\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4f8b\u9898 2\uff1a\u9690\u85cf\u7684\u76f4\u89d2\u4e09\u89d2\u5f62 (Hidden Right Triangles)<\/strong><\/h3>\n\n\n\n<p>An isosceles triangle has sides of length 10, 10, and 12. What is the height drawn to the base of length 12?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4e00\u4e2a\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u957f\u5206\u522b\u4e3a 10, 10 \u548c 12\u3002\u8bf7\u95ee\uff0c\u753b\u5728\u957f\u5ea6\u4e3a 12 \u7684\u5e95\u8fb9\u4e0a\u7684\u9ad8\u662f\u591a\u5c11\uff1f<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u53cc\u8bed\u89e3\u6790\u6b65\u9aa4 (Solution)<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>\u4f5c\u9ad8\u7ebf (Draw the altitude)<\/strong>: \u4ece\u9876\u70b9\u5411\u5e95\u8fb9\u4f5c\u9ad8\u3002\u6839\u636e\u7b49\u8170\u4e09\u89d2\u5f62\u201c\u4e09\u7ebf\u5408\u4e00\u201d\u7684\u6027\u8d28\uff0c\u8fd9\u6761\u9ad8\u7ebf\u4f1a\u5e73\u5206\u5e95\u8fb9 (The altitude bisects the base)\u3002<\/li>\n\n\n\n<li><strong>\u5f62\u6210\u76f4\u89d2\u4e09\u89d2\u5f62 (Form a right triangle)<\/strong>: \u957f\u5ea6\u4e3a 12 \u7684\u5e95\u8fb9\u88ab\u5206\u6210\u4e86\u4e24\u6bb5\uff0c\u6bcf\u6bb5\u957f\u5ea6\u4e3a 12 \u00f7 2 = 6\u3002\u6b64\u65f6\uff0c\u6211\u4eec\u5f97\u5230\u4e86\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u659c\u8fb9\u4e3a 10\uff0c\u4e00\u6761\u76f4\u89d2\u8fb9\u4e3a 6\u3002<\/li>\n\n\n\n<li><strong>\u5e94\u7528\u52fe\u80a1\u6570 (Apply Pythagorean triple)<\/strong>: \u8bbe\u9ad8\u4e3a h\u3002\u6839\u636e\u516c\u5f0f h\u00b2 + 6\u00b2 = 10\u00b2\u3002\u719f\u6089\u52fe\u80a1\u6570\u7684\u540c\u5b66\u7acb\u523b\u80fd\u770b\u51fa\uff0c\u8fd9\u662f 3, 4, 5 \u7ec4\u5408\u7684\u4e24\u500d\uff0c\u5373 6, 8, 10 \u7ec4\u5408\u3002<\/li>\n\n\n\n<li><strong>\u5f97\u51fa\u7b54\u6848 (Conclusion)<\/strong>: \u56e0\u6b64\uff0c\u8fd9\u6761\u9ad8 h \u7684\u957f\u5ea6\u4e3a 8\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%ba%94%e3%80%81-%e6%80%bb%e7%bb%93%e4%b8%8e%e5%a4%87%e8%80%83%e5%bb%ba%e8%ae%ae\"><\/span>\u4e94\u3001 \u603b\u7ed3\u4e0e\u5907\u8003\u5efa\u8bae<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4e09\u89d2\u5f62\u4e0e\u52fe\u80a1\u5b9a\u7406\u662f AMC 8 \u51e0\u4f55\u90e8\u5206\u7684\u57fa\u77f3\u3002\u719f\u7ec3\u638c\u63e1\u4e2d\u82f1\u53cc\u8bed\u4e13\u4e1a\u8bcd\u6c47\u3001\u7262\u8bb0\u52fe\u80a1\u6570\uff08Pythagorean Triples\uff09\uff0c\u80fd\u591f\u5927\u5e45\u63d0\u5347\u8003\u573a\u4e0a\u7684\u89e3\u9898\u901f\u5ea6\u4e0e\u51c6\u786e\u7387\u3002<\/p>\n\n\n\n<p>\u6570\u5b66\u601d\u7ef4\u7684\u57f9\u517b\u548c\u7ade\u8d5b\u6280\u5de7\u7684\u63d0\u5347\u7edd\u975e\u4e00\u65e5\u4e4b\u529f\u3002<strong><a href=\"https:\/\/www.wukongsch.com\/zh\/\">\u609f\u7a7a\u6559\u80b2<\/a><\/strong>\u81f4\u529b\u4e8e\u4e3a\u5168\u7403\u9752\u5c11\u513f\u63d0\u4f9b\u9876\u5c16\u7684\u56fd\u9645\u6570\u5b66\u8bfe\u7a0b\u3002\u6211\u4eec\u7684 AMC 8 \u5907\u8003\u73ed\u91c7\u7528\u4e2d\u82f1\u53cc\u8bed\u6388\u8bfe\uff0c\u7531\u7ecf\u9a8c\u4e30\u5bcc\u7684\u540d\u5e08\u5e26\u961f\uff0c\u7cbe\u51c6\u51fb\u7834\u8003\u70b9\uff0c\u626b\u6e05\u8bed\u8a00\u4e0e\u903b\u8f91\u53cc\u91cd\u969c\u788d\u3002<\/p>\n\n\n\n<p>\u6b63\u5728\u4e3a\u5b69\u5b50\u89c4\u5212 AMC 8 \u8003\u8bd5\u7684\u5bb6\u957f\u4eec\uff0c\u6b22\u8fce\u70b9\u51fb\u4e0b\u65b9\u94fe\u63a5\uff0c\u514d\u8d39\u9886\u53d6\u4e00\u8282<strong>\u609f\u7a7a\u6570\u5b66\u6d4b\u8bc4\u8bd5\u542c\u8bfe<\/strong>\uff0c\u8ba9\u5b69\u5b50\u5728\u56fd\u9645\u8d5b\u9053\u4e0a\u5feb\u4eba\u4e00\u6b65\uff01<\/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>","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001 \u4e3a\u4ec0\u4e48\u51e0\u4f55\u5728 AMC 8 \u4e2d\u5982\u6b64\u91cd\u8981\uff1f \u5bf9\u4e8e\u5907\u8003 AMC 8 \u7684\u6d77\u5916\u5b66\u751f\u548c\u5bb6\u957f\u6765\u8bf4\uff0c\u51e0\u4f55\u9898\uff08Geometry\uff09\u5f80\u5f80\u662f\u62c9\u5f00\u5206\u5dee\u7684\u5173\u952e\u3002\u5f88\u591a\u5b66\u751f\u4e0d\u4ec5\u8981\u9762\u5bf9\u590d\u6742\u7684\u56fe\u5f62\u903b\u8f91\uff0c\u8fd8\u8981\u514b\u670d\u82f1\u6587\u6570\u5b66\u4e13\u4e1a\u8bcd\u6c47\u7684\u969c\u788d\u3002\u5728\u6240\u6709\u51e0\u4f55\u8003\u70b9\u4e2d\uff0c\u4e09\u89d2\u5f62 (Triangles)\u4e0e\u52fe\u80a1\u5b9a\u7406 (Pythagorean Theorem)\u662f\u6bcf\u5e74\u5fc5\u8003\u7684\u7edd\u5bf9\u6838\u5fc3\u3002 \u4f5c\u4e3a\u6d77\u5916\u9752\u5c11\u5e74\u7684\u5728\u7ebf\u6559\u80b2\u4e13\u5bb6\uff0c\u609f\u7a7a\u6570\u5b66\u62e5\u6709\u4e30\u5bcc\u7684\u53cc\u8bed\u6559\u5b66\u7ecf\u9a8c\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u53ea\u8981\u638c\u63e1\u4e86\u6838\u5fc3\u7684\u82f1\u6587\u6570\u5b66\u8bcd\u6c47\u548c\u89e3\u9898\u5957\u8def\uff0c\u51e0\u4f55\u9898\u5176\u5b9e\u662f\u6700\u597d\u62ff\u5206\u7684\u201c\u9001\u5206\u9898\u201d\u3002\u4eca\u5929\uff0c\u609f\u7a7a\u6570\u5b66\u7684\u8001\u5e08\u5c31\u5e26\u5927\u5bb6\u7cfb\u7edf\u68b3\u7406\u8fd9\u4e00\u9ad8\u9891\u8003\u70b9\u3002 \u4e8c\u3001 AMC 8 \u4e2d\u201c\u4e09\u89d2\u5f62\u201d\u90fd\u6d89\u53ca\u54ea\u4e9b\u6838\u5fc3\u77e5\u8bc6\u70b9\uff1f 1.\u4e09\u89d2\u5f62\u5185\u89d2\u4e0e\u5916\u89d2 (Interior and Exterior Angles) \u6838\u5fc3\u77e5\u8bc6\u70b9\uff1a\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u5185\u89d2\u4e4b\u548c\u6c38\u8fdc\u662f180\u5ea6 (180 degrees)\uff1b\u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\uff0c\u7b49\u4e8e\u4e0e\u5b83\u4e0d\u76f8\u90bb\u7684\u4e24\u4e2a\u5185\u89d2\u4e4b\u548c\u3002 \u53cc\u8bed\u8bcd\u6c47\uff1a\u5185\u89d2 (Interior angle), \u5916\u89d2 (Exterior angle), \u8865\u89d2 (Supplementary angle)\u3002 2.\u4e09\u89d2\u5f62\u4e0d\u7b49\u5f0f\u5b9a\u7406 (Triangle Inequality Theorem) \u6838\u5fc3\u77e5\u8bc6\u70b9\uff1a\u5728\u4efb\u4f55\u4e00\u4e2a\u4e09\u89d2\u5f62\u4e2d\uff0c\u4efb\u610f\u4e24\u6761\u8fb9\u7684\u957f\u5ea6\u4e4b\u548c\uff0c\u5fc5\u987b\u5927\u4e8e\u7b2c\u4e09\u6761\u8fb9\uff1b\u4efb\u610f\u4e24\u6761\u8fb9\u7684\u957f\u5ea6\u4e4b\u5dee\uff0c\u5fc5\u987b\u5c0f\u4e8e\u7b2c\u4e09\u6761\u8fb9\u3002\u8fd9\u662f\u5224\u65ad\u4e09\u6761\u7ebf\u6bb5\u80fd\u5426\u7ec4\u6210\u4e09\u89d2\u5f62\u7684\u552f\u4e00\u6807\u51c6\u3002 \u53cc\u8bed\u516c\u5f0f\uff1aa + b &gt; c \u5e76\u4e14 |a &#8211; b| &lt; c 3.\u7279\u6b8a\u4e09\u89d2\u5f62\u7684\u5206\u7c7b\u4e0e\u6027\u8d28 (Properties of Special Triangles) \u7b49\u8170\u4e09\u89d2\u5f62 (Isosceles triangle)\uff1a\u6709\u4e24\u6761\u8fb9\u957f\u5ea6\u76f8\u7b49 (two equal sides)\uff0c\u5bf9\u5e94\u7684\u4e24\u4e2a\u5e95\u89d2\u4e5f\u76f8\u7b49 (two equal base angles)\u3002 \u7b49\u8fb9\u4e09\u89d2\u5f62 (Equilateral triangle)\uff1a\u4e09\u6761\u8fb9\u957f\u5ea6\u5168\u90e8\u76f8\u7b49 (three equal sides)\uff0c\u4e09\u4e2a\u5185\u89d2\u5747\u4e3a 60\u5ea6\u3002 \u76f4\u89d2\u4e09\u89d2\u5f62 (Right triangle)\uff1a\u5305\u542b\u4e00\u4e2a 90\u5ea6\u7684\u76f4\u89d2 (contains a 90\u00b0 angle)\uff0c\u8fd9\u662fAMC 8\u8003\u67e5\u9891\u7387\u6700\u9ad8\u7684\u56fe\u5f62\u3002 4.\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e0e\u5468\u957f\u516c\u5f0f (Area and Perimeter of a Triangle) \u9762\u79ef (Area) = 1\/2 \u00d7 \u5e95(base) \u00d7 \u9ad8(height) \u5468\u957f (Perimeter) = a + b + c (\u4e09\u6761\u8fb9\u957f\u76f8\u52a0) \u4e09\u3001 \u6838\u5fc3\u91cd\u96be\u70b9\uff1a\u52fe\u80a1\u5b9a\u7406 (Pythagorean Theorem) \u6df1\u5ea6\u8bb2\u89e3 \u4ec0\u4e48\u662f\u52fe\u80a1\u5b9a\u7406\uff1f(What is the Pythagorean Theorem?) AMC 8 \u5fc5\u80cc\u7684\u201c\u52fe\u80a1\u6570\u201d (Common Pythagorean&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806819,"featured_media":59444,"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":[137471,132672],"tags":[134602,134959],"class_list":["post-59441","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--zh","category-math-learning-zh","tag-math-learning-zh","tag-overseas-elite-education-zh"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>AMC 8 \u6838\u5fc3\u8003\u70b9\u89e3\u6790\uff1a\u4e09\u89d2\u5f62\u4e0e\u52fe\u80a1\u5b9a\u7406\u5168\u653b\u7565 - WuKong Edu Blog<\/title>\n<meta name=\"description\" content=\"\u5bf9\u4e8e\u5907\u8003 AMC 8 \u7684\u6d77\u5916\u5b66\u751f\u548c\u5bb6\u957f\u6765\u8bf4\uff0c\u51e0\u4f55\u5f80\u5f80\u662f\u62c9\u5f00\u5206\u5dee\u7684\u5173\u952e\u3002\u5f88\u591a\u5b66\u751f\u4e0d\u4ec5\u8981\u9762\u5bf9\u590d\u6742\u7684\u56fe\u5f62\u903b\u8f91\uff0c\u8fd8\u8981\u514b\u670d\u82f1\u6587\u6570\u5b66\u4e13\u4e1a\u8bcd\u6c47\u7684\u969c\u788d\u3002\u672c\u6587\u4e3a\u60a8\u8be6\u7ec6\u89e3\u6790AMC 8\u51e0\u4f55\u6838\u5fc3\u8003\u70b9\uff1a\u4e09\u89d2\u5f62\u4e0e\u52fe\u80a1\u5b9a\u7406\u3002\u4e2d\u82f1\u53cc\u8bed\u8bb2\u89e3\u516c\u5f0f\u4e0e\u5386\u5e74\u771f\u9898\uff0c\u609f\u7a7a\u6570\u5b66\u52a9\u60a8\u8f7b\u677e\u8de8\u8d8a\u8bed\u8a00\u969c\u788d\uff0c\u9ad8\u6548\u5907\u8003\uff01\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AMC 8 \u6838\u5fc3\u8003\u70b9\u89e3\u6790\uff1a\u4e09\u89d2\u5f62\u4e0e\u52fe\u80a1\u5b9a\u7406\u5168\u653b\u7565 - 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She holds the firm conviction that with the right guidance, every student possesses the potential to master complex mathematical concepts.","sameAs":["https:\/\/www.wukongsch.com\/blog\/author\/delvair\/","https:\/\/www.linkedin.com\/in\/delvairdiniz"],"url":"https:\/\/www.wukongsch.com\/blog\/author\/delvair\/"}]}},"amp_enabled":false,"read_time":"4","_links":{"self":[{"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/posts\/59441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/users\/211806819"}],"replies":[{"embeddable":true,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/comments?post=59441"}],"version-history":[{"count":9,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/posts\/59441\/revisions"}],"predecessor-version":[{"id":59470,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/posts\/59441\/revisions\/59470"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/media\/59444"}],"wp:attachment":[{"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/media?parent=59441"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/categories?post=59441"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp-more.wukongedu.net\/blog\/wp-json\/wp\/v2\/tags?post=59441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}