{"id":358,"date":"2025-03-27T22:41:38","date_gmt":"2025-03-27T14:41:38","guid":{"rendered":"https:\/\/tilearn.space\/?p=358"},"modified":"2025-03-27T22:45:05","modified_gmt":"2025-03-27T14:45:05","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%ac23%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=358","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c23\u9898\uff09"},"content":{"rendered":"
\n

\u9898\u76ee\uff1a<\/strong><\/p>\n

23.\u5982\u56fe10\uff0c\u5728\u2299O\u4e2d\uff0c\u76f4\u5f84AB\u5782\u76f4\u4e8e\u5f26CD\uff0c\u5782\u8db3\u4e3a\u70b9E\u3002\u8054\u7ed3AC\u3001DO\uff0c\u5ef6\u957fDO\u4ea4AC\u4e8e\u70b9F\u3002<\/p>\n

\"71df6cdd47ffa70b0df19fd70508258c\"<\/p>\n

(1) \u6c42\u8bc1\uff1aAF=OF\u00b7DF\uff1b<\/p>\n

(2) \u5982\u679cCD=8\uff0cBE=2\uff0c\u6c42OF\u7684\u957f\u3002<\/p>\n

\u8be6\u7ec6\u89e3\u7b54\uff1a<\/strong><\/p>\n

(1) \u8bc1\u660e\uff1a\u8fde\u63a5AD<\/p>\n

\"8df00afc5b5f397ee80c4ca9c801ca69\"<\/p>\n

\u2235 \u76f4\u5f84AB\u5782\u76f4\u4e8e\u5f26CD\uff0c<\/p>\n

\u2234 CE = DE = \\(\\frac{1}{2}CD\\)\uff0c<\/p>\n

\u2235 AE\u22a5CD\uff0c<\/p>\n

\u2234 AC = AD\uff0c<\/p>\n

\u2234 \u2220FAO = \u2220DAO\uff0c<\/p>\n

\u2235 AO = DO\uff0c<\/p>\n

\u2234 \u2220DAO = \u2220ODA\uff0c<\/p>\n

\u2234 \u2220FAO = \u2220ODA\uff0c<\/p>\n

\u53c8\u2220AFO = \u2220DFA\uff0c<\/p>\n

\u2234 \u25b3AFO\u223d\u25b3DFA\uff0c<\/p>\n

\u2234 \\(\\frac{AF}{OF} = \\frac{DF}{AF}\\)\uff0c<\/p>\n

\u2234 AF\u00b2 = OF\u00b7DF\u3002<\/p>\n

(2) \u89e3\u7b54\uff1a<\/p>\n

\u2235 CE = DE = \\(\\frac{1}{2}CD\\)\uff0cCD = 8\uff0c<\/p>\n

\u2234 CE = DE = 4\uff0c<\/p>\n

\u8bbe\u534a\u5f84\u4e3ar\uff0c<\/p>\n

\u2235 BE = 2\uff0c<\/p>\n

\u2234 OE = r – 2\uff0c<\/p>\n

\u5728Rt\u25b3DEO\u4e2d\uff0cOE\u00b2 + DE\u00b2 = DO\u00b2\uff0c<\/p>\n

\u2234 (r – 2)\u00b2 + 4\u00b2 = r\u00b2\uff0c<\/p>\n

\u89e3\u5f97r = 5\uff0c<\/p>\n

\u2234 OE = 3\uff0cAE = AO + OE = 8\uff0c<\/p>\n

\u2234 AD = \\(\\sqrt{AE\u00b2 + DE\u00b2} = 4\\sqrt{5}\\)\uff0c<\/p>\n

\u2235 \u25b3AFO\u223d\u25b3DFA\uff0c<\/p>\n

\u2234 \\(\\frac{AF}{DF} = \\frac{OF}{AF} = \\frac{AO}{AD}\\)\uff0c\u5373 \\(\\frac{AF}{OF + 5} = \\frac{OF}{4\\sqrt{5}} = \\frac{5}{4\\sqrt{5}}\\)\uff0c<\/p>\n

\u6574\u7406\u5f97 \\(\\begin{cases} 4\\sqrt{5}OF = 5AF \\\\ 5OF + 25 = 4\\sqrt{5}AF \\end{cases}\\)\uff0c<\/p>\n

\u89e3\u5f97 OF = \\(\\frac{25}{11}\\)\u3002<\/p>\n

\u76f8\u5173\u77e5\u8bc6\u70b9\u590d\u4e60\uff1a<\/strong><\/p>\n

1. \u5706\u7684\u6027\u8d28\uff1a\u76f4\u5f84\u5782\u76f4\u4e8e\u5f26\u65f6\uff0c\u5f26\u88ab\u5e73\u5206\u3002<\/p>\n

2. \u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u6027\u8d28\uff1a\u5bf9\u5e94\u8fb9\u6210\u6bd4\u4f8b\u3002<\/p>\n

3. \u52fe\u80a1\u5b9a\u7406\u7684\u5e94\u7528\u3002<\/p>\n

\u6613\u9519\u63d0\u793a\u548c\u62d3\u5c55\uff1a<\/strong><\/p>\n

1. \u5728\u8bc1\u660e\u8fc7\u7a0b\u4e2d\uff0c\u6ce8\u610f\u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u5224\u5b9a\u6761\u4ef6\u3002<\/p>\n

2. \u89e3\u65b9\u7a0b\u65f6\uff0c\u6ce8\u610f\u68c0\u67e5\u89e3\u7684\u5408\u7406\u6027\u3002<\/p>\n

3. \u62d3\u5c55\uff1a\u53ef\u4ee5\u5c1d\u8bd5\u5176\u4ed6\u65b9\u6cd5\u8bc1\u660eAF = OF\u00b7DF\uff0c\u4f8b\u5982\u5229\u7528\u5706\u5e42\u5b9a\u7406\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u9898\u76ee\uff1a 23.\u5982\u56fe10\uff0c\u5728\u2299O\u4e2d\uff0c\u76f4\u5f84AB\u5782\u76f4\u4e8e\u5f26CD\uff0c\u5782\u8db3\u4e3a\u70b9E\u3002\u8054\u7ed3AC\u3001DO\uff0c\u5ef6\u957fDO\u4ea4AC\u4e8e\u70b9F\u3002 ( […]<\/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-358","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/358","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=358"}],"version-history":[{"count":4,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/358\/revisions"}],"predecessor-version":[{"id":364,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/358\/revisions\/364"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}