{"id":28692,"date":"2011-06-07T13:52:14","date_gmt":"2011-06-07T05:52:14","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=28692"},"modified":"2021-10-06T16:26:31","modified_gmt":"2021-10-06T08:26:31","slug":"%e4%b8%ad%e5%9c%8b%e7%9a%84%e6%b8%ac%e9%87%8f%e8%a1%93-the-measurement-in-china%e4%b8%8a","status":"publish","type":"post","link":"http:\/\/localhost\/%e4%b8%ad%e5%9c%8b%e7%9a%84%e6%b8%ac%e9%87%8f%e8%a1%93-the-measurement-in-china%e4%b8%8a\/","title":{"rendered":"\u4e2d\u570b\u7684\u6e2c\u91cf\u8853(\u4e0a) (The Measurement in China I)"},"content":{"rendered":"

\u4e2d\u570b\u7684\u6e2c\u91cf\u8853 (\u4e0a) (The Measurement in China I)
\n<\/span>\u53f0\u5317\u5e02\u7acb\u7b2c\u4e00\u5973\u5b50\u4e2d\u5b78\u6578\u5b78\u79d1\u8607\u4fca\u9d3b\u8001\u5e2b\/\u570b\u7acb\u53f0\u7063\u5e2b\u7bc4\u5927\u5b78\u6578\u5b78\u7cfb\u8a31\u5fd7\u8fb2\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/p>\n

\u6458\u8981\uff1a\u672c\u6587\u4ecb\u7d39\u4e2d\u570b\u7684\u6e2c\u91cf\u8853\u3002
\n<\/strong>
\n\u4e00\u8ac7\u8d77\u6e2c\u91cf\u65b9\u6cd5\uff0c\u5927\u5bb6\u8166\u4e2d\u99ac\u4e0a\u6d6e\u73fe\u300c\u4e09\u89d2\u6e2c\u91cf\u300d\u2500\u85c9\u52a9\u4e09\u89d2\u51fd\u6578\u7684\u5e6b\u52a9\uff0c\u6211\u5011\u53ea\u8981\u6e2c\u91cf\u51fa\u67d0\u4e9b\u9577\u5ea6\u53ca\u89d2\u5ea6\uff0c\u5c31\u80fd\u8655\u7406\u90a3\u4e9b\u6211\u5011\u7121\u6cd5\u5be6\u969b\u91cf\u6e2c\u7684\u554f\u984c\u3002\u9019\u4e5f\u662f\u6578\u5b78\u6559\u5e2b\u5728\u4e09\u89d2\u51fd\u6578\u7684\u5b78\u7fd2\u4e0a\uff0c\u7528\u4f86\u5f37\u5316\u4e09\u89d2\u51fd\u6578\u5b78\u7fd2\u300c\u6b63\u7576\u6027\u300d\u7684\u6700\u4f73\u7406\u7531\u3002<\/p>\n

\u4e8b\u5be6\u4e0a\uff0c\u6bcf\u500b\u6587\u5316\u5728\u67d0\u4e9b\u7279\u6b8a\u689d\u4ef6\u7684\u9650\u5236\u4e0b\uff0c\u53ef\u80fd\u767c\u5c55\u51fa\u4e0d\u540c\u65bc\u6211\u5011\u73fe\u6709\u65e2\u5b58\u7684\u6982\u5ff5\u6216\u7b56\u7565\u3002\u6bd4\u5982\u8aaa\uff0c\u4e2d\u570b\u53e4\u4ee3\u7f3a\u4e4f\u4e00\u822c\u89d2\u7684\u6982\u5ff5\uff0c\u56e0\u6b64\u4eca\u65e5\u6211\u5011\u6240\u719f\u77e5\u7684\u4e09\u89d2\u5b78\u7406\u8ad6\u4e26\u6c92\u6709\u5728\u4e2d\u570b\u767c\u5c55\u8d77\u4f86\u3002\u4e0d\u904e\uff0c\u4e2d\u570b\u4ecd\u5efa\u7acb\u8d77\u975e\u5e38\u767c\u9054\u3001\u7a0b\u5ea6\u6975\u9ad8\u7684\u6e2c\u91cf\u6280\u8853\u3002\u7531\u65bc\u85c9\u52a9\u76f4\u89d2\u4e09\u89d2\u5f62(\u52fe\u80a1\u5f62)\u4f86\u8655\u7406\uff0c\u9019\u6a23\u7684\u65b9\u6cd5\u7a31\u4e4b\u70ba\u300e\u52fe\u80a1\u6e2c\u91cf\u300f\u3002\u6211\u5011\u53ef\u7531\u6e2c\u91cf\u5de5\u5177\u7684\u4f7f\u7528\u4f86\u652f\u6301\u9019\u6a23\u7684\u770b\u6cd5\uff0c\u50b3\u7d71\u4e0a\u7684\u5de5\u5177\u6709\u5169\u7a2e\uff1a\u4e00\u662f\u77e9\uff1b\u53e6\u4e00\u662f\u8868\u3002\u77e9\u662f\u5f4e\u66f2\u6210\u76f4\u89d2\u7684\u66f2\u5c3a\uff1b\u8868\u662f\u5782\u76f4\u7684\u91cf\u6746\uff0c\u90fd\u662f\u70ba\u4e86\u69cb\u9020\u51fa\u52fe\u80a1\u5f62\u800c\u4f7f\u7528\u7684\u3002\u4e4b\u5f8c\u4e2d\u7b97\u5bb6\u5728\u52fe\u80a1\u6e2c\u91cf\u7684\u57fa\u790e\u4e0a\uff0c\u6539\u9032\u6280\u8853\u8207\u65b9\u6cd5\uff0c\u9020\u51fa\u300e\u91cd\u5dee\u6cd5\u300f\u3002\u672c\u6587\u662f\u5c0d\u52fe\u80a1\u6e2c\u91cf\u4e00\u500b\u521d\u6b65\u7684\u4ecb\u7d39\u3002<\/p>\n

\u6e2c\u91cf\u6280\u8853\u7684\u767c\u5c55\uff0c\u96e2\u4e0d\u958b\u5be6\u969b\u61c9\u7528\u7684\u9700\u8981\uff0c\u5982\u5929\u6587\u7684\u89c0\u6e2c\u3001\u5efa\u7bc9\u5de5\u7a0b\u3001\u571f\u5730\u4e08\u91cf\u53ca\u5730\u5716\u7684\u7e6a\u88fd\u7b49\u3002\u56e0\u6b64\uff0c\u52fe\u80a1\u6e2c\u91cf\u5728\u4e2d\u570b\u767c\u5c55\u6975\u65e9\u3002\u4ee5\u4e2d\u7b97\u53f2\u4e0a\u91cd\u8981\u7684\u5178\u7c4d\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u4f86\u8aaa\uff0c\u5377\u4e5d\u3008\u52fe\u80a1\u7ae0\u3009\u8ac7\u7684\u4fbf\u662f\u8207\u52fe\u80a1\u5f62\u76f8\u95dc\u7684\u554f\u984c\u3002\u5168\u7ae0\u5171 24 \u500b\u554f\u984c\uff0c\u5176\u4e2d\u7b2c 16~23 \u500b\u554f\u984c\u4fbf\u662f\u6e2c\u671b\u554f\u984c\u3002\u8a66\u8209\u5176\u4e2d\u7b2c19 \u554f\uff1a<\/p>\n

\u7b2c 19 \u554f \u4eca\u6709\u9091\u65b9\u4e0d\u77e5\u5927\u5c0f\uff0c\u5404\u4e2d\u958b\u9580\u3002\u51fa\u5317\u9580\u4e8c\u5341\u6b65\u6709\u6728\uff0c\u51fa\u5357\u9580\u4e00\u5341\u56db\u6b65\uff0c\u6298\u800c\u897f\u884c\u4e00\u5343\u4e03\u767e\u4e03\u5341\u4e94\u6b65\u898b\u6728\uff0c\u554f\u9091\u65b9\u5e7e\u4f55\uff1f<\/p>\n

\u7b2c 19 \u554f\u7684\u984c\u610f\u5982\u5716\u4e00\uff0c\u70ba\u4fbf\u65bc\u8868\u793a\uff0c\u7b46\u8005\u7528\u73fe\u5728\u7684\u6578\u5b78\u7b26\u865f\u8f14\u4ee5\u8aaa\u660e\u5289\u5fbd\u7684\u6ce8\u89e3\u3002<\/p>\n

\u9996\u5148\u662f\u904b\u7528\u300c\u7387\u300d\u7684\u89c0\u5ff5\uff1a<\/p>\n

\u8a2d\u9091\u65b9 $$\\overline{DE}=x$$\uff0c\u5247 $$\\overline{AC}$$ \u70ba\u80a1\uff0c$$\\overline{BC}$$ \u70ba\u52fe\uff0c$$\\overline{BD}$$ \u70ba\u52fe\u7387\uff0c$$\\overline{FD}=\\displaystyle\\frac{1}{2} x$$ \u70ba\u80a1\u7387\u3002<\/p>\n

\u5247 $$\\begin{array}{ll}\\overline{AC}:\\overline{BC}=\\overline{FD}:\\overline{BD}&\\Rightarrow 1775:(20+x+14)=\\displaystyle\\frac{1}{2}x:20\\\\&\\Rightarrow x^2+34x=71000\\end{array}$$<\/p>\n

\"28692_p1\"<\/a><\/p>\n

\u7531\u4e0a\u53ef\u77e5\uff0c\u4e3b\u8981\u7684\u95dc\u9375\u5728\u65bc\u9019\u500b\u95dc\u4fc2\u5f0f $$\\overline{AC}:\\overline{BC}=\\overline{FD}:\\overline{BD}$$\u3002\u9019\u500b\u95dc\u4fc2\u7684\u6210\u7acb\uff0c\u773c\u660e\u7684\u8b80\u8005\u6216\u8a31\u6703\u731c\u6e2c\uff1a\u5b83\u662f\u5960\u57fa\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u25b3ABC\u8207\u76f4\u89d2\u4e09\u89d2\u5f62\u25b3FBD\u7684\u76f8\u4f3c\u3002\u7136\u800c\uff0c\u7b46\u8005\u5728\u6b64\u5fc5\u9808\u5f37\u8abf\uff1a\u7576\u6642\u7684\u4e2d\u7b97\u5bb6\u662f\u6c92\u6709\u4e00\u822c\u89d2\u5ea6\u7684\u6982\u5ff5\uff0c\u4e5f\u6c92\u6709\u5e73\u884c\u7dda\u6027\u8cea\u7684\u63a2\u8a0e\uff0c\u56e0\u6b64\uff0c\u4e5f\u6c92\u6709\u76f8\u4f3c\u5f62\u7684\u7406\u8ad6\u7684\u5efa\u7acb\u3002\u90a3\u9ebc\u5289\u5fbd\u662f\u5982\u4f55\u627e\u5230\u9019\u500b\u95dc\u4fc2\u5f0f\u5462\uff1f\u53ef\u60dc\u7684\u662f\uff0c\u5289\u5fbd\u7684\u6700\u521d\u60f3\u6cd5\u5df2\u7d93\u4f5a\u5931\uff0c\u7121\u5f9e\u9032\u4e00\u6b65\u7684\u4e86\u89e3\u3002\u6240\u5e78\u6578\u5b78\u53f2\u5bb6\u5011\u5728\u5357\u5b8b\u694a\u8f1d\u6240\u8457\u7684\u300a\u7e8c\u53e4\u6458\u5947\u7b97\u6cd5\u300b\u5377\u4e0b\uff0c\u770b\u898b\u5289\u5fbd\u53ef\u80fd\u60f3\u6cd5\u7684\u6700\u5b8c\u6574\u4e4b\u9084\u539f\uff1a<\/p>\n

\"\u5716\u724712\"<\/a><\/p>\n

\u7531\u5716\u4e8c\uff0c\u53ef\u4ee5\u6e05\u695a\u5730\u770b\u5230\u9577\u65b9\u5f62ABCD\u7531\u5c0d\u89d2\u7dda\u5e73\u5206\u6210\u5169\u500b\u76f4\u89d2\u4e09\u89d2\u5f62\u3002<\/p>\n

\u7531\u65bc\u6b63\u65b9\u5f62AGEH\u53ca\u6b63\u65b9\u5f62EICF\u4e5f\u88ab\u5e73\u5206\u6210\u5169\u500b\u76f4\u89d2\u4e09\u89d2\u5f62\u3002<\/p>\n

\u6240\u4ee5\u9577\u65b9\u5f62 HEFD \u9762\u7a4d
\n$$=\\Delta{ACD}-\\Delta{AEH}-\\Delta{ECF}$$
\n$$=\\Delta{ACB}-\\Delta{AEG}-\\Delta{ECI}$$
\n$$=$$ \u9577\u65b9\u5f62 GBIE \u9762\u7a4d<\/p>\n

\u6545<\/p>\n

$$a_1b_2=a_2b_1\\Rightarrow a_1:b_1=a_2:b_2$$<\/p>\n

\u9019\u500b\u300c\u52fe\u4e2d\u5bb9\u6a6b\uff0c\u5176\u4e00\u80a1\u4e2d\u5bb9\u76f4\uff0c\u4e8c\u7a4d\u4e8c\u6578\u7686\u540c\u3002\u300d\u7684\u6027\u8cea\u5728\u4e2d\u7b97\u7684\u52fe\u80a1\u554f\u984c\u4e2d\uff0c\u6709\u8457\u91cd\u8981\u7684\u4f5c\u7528\u3002\u7b46\u8005\u8a8d\u70ba\u9019\u500b\u5229\u7528\u9762\u7a4d\u95dc\u4fc2\u4f86\u5c0b\u6c42\u5169\u500b\u52fe\u80a1\u5f62\u6bd4\u4f8b\u95dc\u4fc2\uff0c\u662f\u4e00\u500b\u5f88\u6709\u8da3\u4e26\u4e14\u503c\u5f97\u5728\u8ab2\u5802\u6f14\u793a\u7684\u4f5c\u6cd5\u3002\u9664\u4e86\u8b93\u5b78\u751f\u9ad4\u6703\u5230\u5373\u4f7f\u7701\u7565\u76f8\u4f3c\u5f62\u7406\u8ad6\uff0c\u6bd4\u4f8b\u95dc\u4fc2\u4ecd\u53ef\u4f5c\u51fa\u7684\u5de7\u601d\u5916\uff1b\u4e5f\u8b93\u5b78\u751f\u4e86\u89e3\u5728\u4e0d\u540c\u7684\u6587\u5316\u8108\u7d61\u4e0b\uff0c\u77e5\u8b58\u7684\u6210\u9577\u662f\u53ef\u80fd\u64c1\u6709\u4e0d\u540c\u7684\u98a8\u8c8c\u3002<\/p>\n

\u6b64\u5916\uff0c\u7531\u4e0a\u8ff0\u554f\u984c\u7684\u89e3\u6cd5\u4f86\u770b\uff0c\u5e38\u898b\u7684\u6e2c\u91cf\u554f\u984c\uff0c\u4e0d\u5168\u7136\u9700\u4f7f\u7528\u4e09\u89d2\u6e2c\u91cf\u7684\u4f5c\u6cd5\uff0c\u53ea\u8981\u69cb\u9020\u51fa\u9069\u7576\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u6e2c\u91cf\u9577\u5ea6\uff0c\u5c31\u53ef\u4ee5\u9593\u63a5\u91cf\u51fa\u6211\u5011\u8981\u7684\u76ee\u6a19\uff0c\u7701\u537b\u89d2\u5ea6\u7684\u5ea6\u91cf\uff0c\u53cd\u5012\u662f\u53ef\u4ee5\u63d0\u9ad8\u6e2c\u91cf\u7684\u6e96\u78ba\u6027\u3002\u9664\u4e86\u4e0a\u8ff0\u8207\u751f\u6d3b\u6709\u95dc\u7684\u6e2c\u91cf\u554f\u984c\u5916\uff0c\u5728\u5929\u6587\u89c0\u6e2c\u4e0a\uff0c\u53e4\u4ee3\u66c6\u7b97\u5bb6\u4e5f\u662f\u5229\u7528\u52fe\u80a1\u6e2c\u91cf\u7684\u65b9\u6cd5\u4f86\u6e2c\u91cf\u592a\u967d\u7684\u9ad8\u5ea6\u53ca\u592a\u967d\u7684\u5927\u5c0f\u3002\u66f4\u9032\u4e00\u6b65\u5730\uff0c\u6539\u826f\u52fe\u80a1\u6e2c\u91cf\u7684\u65b9\u6cd5\uff0c\u9019\u5c31\u662f\u63a5\u4e0b\u4f86\u7b46\u8005\u6240\u8981\u8ac7\u7684\u300e\u91cd\u5dee\u6cd5\u300f\u3002\u4e0d\u904e\uff0c\u9650\u65bc\u7bc7\u5e45\uff0c\u5c31\u8acb\u8b80\u8005\u4e0b\u56de\u5206\u66c9\u56c9\uff01<\/p>\n

\u9023\u7d50\uff1a\u4e2d\u570b\u7684\u6e2c\u91cf\u8853(\u4e0b)<\/a><\/p>\n

\u53c3\u8003\u6587\u737b\uff1a<\/strong><\/p>\n

    \n
  1. \u674e\u570b\u5049(1984)\u3002\u3008\u521d\u63a2\u300c\u91cd\u5dee\u300d\u7684\u5167\u5728\u7406\u8def\u3009\uff0c\u300a\u79d1\u5b78\u53f2\u901a\u8a0a\u300b\u7b2c\u4e09\u671f\u3002<\/li>\n
  2. \u5433\u6587\u4fca(1982)\u3002\u3008\u6211\u570b\u53e4\u4ee3\u6e2c\u671b\u4e4b\u5b78\u91cd\u5dee\u7406\u8ad6\u8a55\u4ecb\u517c\u8a55\u6578\u5b78\u53f2\u7814\u7a76\u4e2d\u67d0\u4e9b\u65b9\u6cd5\u554f\u984c\u3009\uff0c\u6536\u5165\u300a\u79d1\u6280\u53f2\u6587\u96c6\u300b\u7b2c\u516b\u8f2f\u3002<\/li>\n
  3. \u90ed\u66f8\u6625\u4e3b\u7de8(1993)\u3002\u300a\u4e2d\u570b\u79d1\u5b78\u6280\u8853\u5178\u7c4d\u901a\u5f59\u2027\u6578\u5b78\u5377\u4e00\u300b\uff0c\u912d\u5dde\u5e02\ufe30\u6cb3\u5357\u6559\u80b2\u51fa\u7248\u793e\u3002<\/li>\n
  4. \u90ed\u66f8\u6625\u8b6f\u6ce8(1998)\u3002\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\uff0c\u700b\u967d\uff1a\u907c\u5be7\u51fa\u7248\u793e\u3002<\/li>\n
  5. \u90ed\u66f8\u6625(1995)\u3002\u300a\u53e4\u4ee3\u4e16\u754c\u6578\u5b78\u6cf0\u6597–\u5289\u5fbd\u300b\uff0c\u53f0\u5317\uff1a\u660e\u6587\u51fa\u7248\u793e\u3002<\/li>\n
  6. \u5085\u5927\u70ba(1988)\u3002\u3008\u8ad6\u300a\u5468\u9ac0\u300b\u7814\u7a76\u50b3\u7d71\u7684\u6b77\u53f2\u767c\u5c55\u8207\u8f49\u6298\u3009\uff0c\u300a\u6e05\u83ef\u5b78\u5831\u300b\u65b0\u5341\u516b\u5377\u7b2c\u4e00\u671f\u3002<\/li>\n
  7. \u5289\u920d(1993)\u3002\u300a\u5927\u54c9\u8a00\u6578\u300b\uff0c\u700b\u967d\uff1a\u907c\u5be7\u51fa\u7248\u793e\u3002<\/li>\n
  8. \u9322\u5bf6\u742e(1981)\u3002\u300a\u4e2d\u570b\u6578\u5b78\u53f2\u300b\uff0c\u5317\u4eac\uff1a\u79d1\u5b78\u51fa\u7248\u793e\u3002<\/li>\n<\/ol>\n<\/div>","protected":false},"excerpt":{"rendered":"

    \u4e2d\u570b\u7684\u6e2c\u91cf\u8853 (\u4e0a) (The Measurement in China I) \u53f0\u5317\u5e02\u7acb\u7b2c\u4e00\u5973\u5b50\u4e2d\u5b78\u6578\u5b78\u79d1\u8607\u4fca…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[222,219,111],"tags":[3131],"class_list":["post-28692","post","type-post","status-publish","format-standard","hentry","category-math03-03","category-math03","category-mathematics00","tag-3131","loop-entry","cat-222","cat-219","cat-111","no-thumbnail"],"views":4692,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/28692","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=28692"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/28692\/revisions"}],"predecessor-version":[{"id":88430,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/28692\/revisions\/88430"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=28692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=28692"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=28692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}