{"id":314,"date":"2025-03-27T17:09:41","date_gmt":"2025-03-27T09:09:41","guid":{"rendered":"https:\/\/tilearn.space\/?p=314"},"modified":"2025-03-27T21:08:06","modified_gmt":"2025-03-27T13:08:06","slug":"2024%e5%b1%8a%e5%ae%9d%e5%b1%b1%e5%8c%ba%e5%88%9d%e4%b8%89%e4%ba%8c%e6%a8%a1%e6%95%b0%e5%ad%a6%e8%af%95%e5%8d%b7%e7%b2%be%e8%ae%b2%ef%bc%88%e7%ac%ac17%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=314","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c17\u9898\uff09"},"content":{"rendered":"

17. \u5982\u56fe 5\uff0c\u8fb9\u957f\u5206\u522b\u4e3a 5\uff0c3\uff0c2 \u7684\u4e09\u4e2a\u6b63\u65b9\u5f62\u62fc\u63a5\u5728\u4e00\u8d77\uff0c\u5b83\u4eec\u7684\u4e00\u8fb9\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\uff0c\u90a3\u4e48\u56fe\u4e2d\u9634\u5f71\u4e09\u89d2\u5f62\u2460\u548c\u2461\u7684\u9762\u79ef\u4e4b\u6bd4 \\(\\frac{S_1}{S_2}\\) \u7684\u6bd4\u503c\u4e3a______<\/h3>\n

\"374eb00b0436ffb6433572a7911428ee\"<\/p>\n

\u8be6\u7ec6\u89e3\u7b54\uff1a<\/h2>\n

\"bc6e54abc244894ef3331f20d00d4595\"<\/p>\n

\u6839\u636e\u9898\u610f\uff0c\u5f97 \\(AM = 5\\)\uff0c\\(AN = 8\\)\uff0c\\(AD = 10\\)\uff0c\\(DE = 2\\)\uff0c\\(AB \\parallel FG \\parallel KH \\parallel DE\\)\u3002<\/p>\n

\u56e0\u4e3a \\(AB \\parallel DE\\)\uff0c\u6240\u4ee5 \\(\\triangle ABC \\sim \\triangle EDC\\)\uff0c\u56e0\u6b64 \\(\\frac{AC}{EC} = \\frac{AB}{DE} = \\frac{5}{2}\\)\u3002<\/p>\n

\u7531\u6b64\u53ef\u5f97 \\(AC = \\frac{5}{7}AE\\)\uff0c\\(CE = \\frac{2}{7}AE\\)\u3002<\/p>\n

\u56e0\u4e3a \\(MG \\parallel DE\\)\uff0c\u6240\u4ee5 \\(\\frac{AG}{AE} = \\frac{AM}{AD} = \\frac{1}{2}\\)\uff0c\u56e0\u6b64 \\(AG = \\frac{1}{2}AE\\)\u3002<\/p>\n

\u540c\u7406\u53ef\u5f97 \\(AK = \\frac{4}{5}AE\\)\u3002<\/p>\n

\u4e8e\u662f \\(CG = AC – AG = \\frac{3}{14}AE\\)\uff0c\\(CK = AK – AC = \\frac{3}{35}AE\\)\u3002<\/p>\n

\u56e0\u6b64 \\(\\frac{CG}{CK} = \\frac{\\frac{3}{14}AE}{\\frac{3}{35}AE} = \\frac{5}{2}\\)\u3002<\/p>\n

\u56e0\u4e3a \\(FG \\parallel KH\\)\uff0c\u6240\u4ee5 \\(\\triangle CKH \\sim \\triangle CGF\\)\u3002<\/p>\n

\u6240\u4ee5 \\(\\frac{S_1}{S_2} = \\left(\\frac{CK}{CG}\\right)^2 = \\left(\\frac{2}{5}\\right)^2 = \\frac{4}{25}\\)\u3002<\/p>\n

\u6545\u7b54\u6848\u4e3a\uff1a\\(\\frac{4}{25}\\)\u3002<\/p>\n

\u76f8\u5173\u77e5\u8bc6\u70b9\u590d\u4e60\uff1a<\/h3>\n
    \n
  1. \u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u5224\u5b9a\u4e0e\u6027\u8d28\uff1a\u5982\u679c\u4e24\u4e2a\u4e09\u89d2\u5f62\u7684\u5bf9\u5e94\u89d2\u76f8\u7b49\uff0c\u5bf9\u5e94\u8fb9\u6210\u6bd4\u4f8b\uff0c\u5219\u8fd9\u4e24\u4e2a\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002\u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u5bf9\u5e94\u8fb9\u6210\u6bd4\u4f8b\uff0c\u5bf9\u5e94\u9ad8\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4\uff0c\u5bf9\u5e94\u5468\u957f\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4\uff0c\u5bf9\u5e94\u9762\u79ef\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4\u7684\u5e73\u65b9\u3002<\/li>\n
  2. \u5e73\u884c\u7ebf\u5206\u7ebf\u6bb5\u6210\u6bd4\u4f8b\u5b9a\u7406\uff1a\u4e24\u6761\u76f4\u7ebf\u88ab\u4e00\u7ec4\u5e73\u884c\u7ebf\u6240\u622a\uff0c\u6240\u5f97\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6210\u6bd4\u4f8b\u3002<\/li>\n<\/ol>\n

    \u6613\u9519\u63d0\u793a\u548c\u62d3\u5c55\uff1a<\/h3>\n
      \n
    1. \u5728\u89e3\u9898\u8fc7\u7a0b\u4e2d\uff0c\u8981\u6ce8\u610f\u6b63\u786e\u8bc6\u522b\u76f8\u4f3c\u4e09\u89d2\u5f62\uff0c\u5e76\u5229\u7528\u76f8\u4f3c\u6bd4\u8fdb\u884c\u8ba1\u7b97\u3002<\/li>\n
    2. \u6ce8\u610f\u533a\u5206\u4e0d\u540c\u7ebf\u6bb5\u7684\u6bd4\u4f8b\u5173\u7cfb\uff0c\u907f\u514d\u6df7\u6dc6\u3002<\/li>\n
    3. \u62d3\u5c55\uff1a\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63a2\u8ba8\u4e0d\u540c\u5f62\u72b6\u7684\u56fe\u5f62\u62fc\u63a5\u540e\u5f62\u6210\u7684\u590d\u6742\u56fe\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u95ee\u9898\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

      17. \u5982\u56fe 5\uff0c\u8fb9\u957f\u5206\u522b\u4e3a 5\uff0c3\uff0c2 \u7684\u4e09\u4e2a\u6b63\u65b9\u5f62\u62fc\u63a5\u5728\u4e00\u8d77\uff0c\u5b83\u4eec\u7684\u4e00\u8fb9\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\uff0c\u90a3\u4e48\u56fe\u4e2d\u9634\u5f71\u4e09\u89d2\u5f62\u2460 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-314","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/314","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=314"}],"version-history":[{"count":7,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/314\/revisions"}],"predecessor-version":[{"id":324,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/314\/revisions\/324"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=314"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=314"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=314"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}