{"id":51628,"date":"2014-01-25T20:28:18","date_gmt":"2014-01-25T12:28:18","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=51628"},"modified":"2021-10-06T16:19:10","modified_gmt":"2021-10-06T08:19:10","slug":"%e7%9b%b4%e5%bc%8f%e9%96%8b%e6%96%b9%e6%b3%95%e9%96%8b%e5%b9%b3%e6%96%b9%e6%a0%b9","status":"publish","type":"post","link":"http:\/\/localhost\/%e7%9b%b4%e5%bc%8f%e9%96%8b%e6%96%b9%e6%b3%95%e9%96%8b%e5%b9%b3%e6%96%b9%e6%a0%b9\/","title":{"rendered":"\u76f4\u5f0f\u958b\u65b9\u6cd5\u958b\u5e73\u65b9\u6839"},"content":{"rendered":"

\u76f4\u5f0f\u958b\u65b9\u6cd5\u958b\u5e73\u65b9\u6839<\/span>
\n\u81fa\u5317\u5e02\u7acb\u897f\u677e\u9ad8\u4e2d \u8607\u60e0\u7389\u6559\u5e2b<\/span><\/strong><\/p>\n

\u76ee\u524d\u7684\u9ad8\u4e2d\u6578\u5b78\u6559\u6750\u4e2d\uff0c\u5df2\u7d93\u4e0d\u518d\u6559\u6388\u958b\u5e73\u65b9\u7684\u76f4\u5f0f\u958b\u65b9\u6cd5\uff0c\u5728\u8ab2\u7db1\u4e2d\u53ea\u8981\u6c42\u5b78\u751f\u6703\u4f30\u8a08\u5e73\u65b9\u6839\u7684\u8fd1\u4f3c\u503c\u5373\u53ef\u3002\u7136\u800c\u5728\u7d71\u8a08\u90e8\u5206\u7684\u55ae\u5143\u5b78\u7fd2\u4e2d\uff0c\u4ecd\u6709\u4e9b\u984c\u76ee\u8981\u6c42\u5b78\u751f\u8a08\u7b97\u67d0\u4e9b\u727d\u6d89\u5230\u5e73\u65b9\u6839\u7d71\u8a08\u91cf\u7684\u8fd1\u4f3c\u503c\uff0c\u4f8b\u5982\u6a19\u6e96\u5dee\u3002\u5728\u7b46\u8005\u7684\u6559\u5b78\u7d93\u9a57\u4e2d\uff0c\u5e38\u6709\u5b78\u751f\u6703\u554f\u5982\u4f55\u958b\u5e73\u65b9\u6839\uff0c\u56e0\u6b64\u7b46\u8005\u5c07\u5728\u6b64\u7bc7\u6587\u7ae0\u4e2d\uff0c\u4ee5\u4e2d\u570b\u53e4\u7b97\u7684\u958b\u65b9\u8853\u70ba\u57fa\u790e\uff0c\u4ecb\u7d39\u6240\u8b02\u7684\u76f4\u5f0f\u958b\u65b9\u6cd5\u3002<\/p>\n

\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u3008\u5c11\u5ee3\u3009\u5377\u4e2d\u6709\u554f\uff1a
\n\u4eca\u6709\u7a4d\u4e94\u842c\u4e94\u5343\u4e8c\u767e\u4e8c\u5341\u4e94\u6b65\u3002\u554f\u70ba\u65b9\u5e7e\u4f55\uff1f
\n<\/b>\u958b\u65b9\u8853\u66f0\uff1a\u7f6e\u7a4d\u70ba\u5be6\u3002\u501f\u4e00\u7b6d\uff0c\u6b65\u4e4b\uff0c\u8d85\u4e00\u7b49\u3002\u8b70\u6240\u5f97\uff0c\u4ee5\u4e00\u4e58\u6240\u501f\u4e00\u7b6d\u70ba\u6cd5\uff0c\u800c\u4ee5\u9664\u3002\u9664\u5df2\uff0c\u500d\u6cd5\u70ba\u5b9a\u6cd5\u3002\u5176\u5fa9\u9664\u3002\u6298\u6cd5\u800c\u4e0b\u3002\u5fa9\u7f6e\u501f\u7b6d\uff0c\u6b65\u4e4b\u5982\u521d\uff0c\u4ee5\u5fa9\u8b70\u4e00\u4e58\u4e4b\uff0c\u6240\u5f97\u526f\u4ee5\u52a0\u5b9a\u6cd5\uff0c\u4ee5\u9664\u3002\u4ee5\u6240\u5f97\u526f\u5f9e\u5b9a\u6cd5\u3002\u5fa9\u9664\uff0c\u6298\u4e0b\u5982\u524d\u3002<\/b><\/p>\n

\u9019\u4e00\u6bb5\u958b\u65b9\u8853\uff0c\u770b\u8d77\u4f86\u4e0d\u592a\u597d\u7406\u89e3\uff0c\u7531\u65bc\u53e4\u6642\u5019\u4e2d\u7b97\u4ee5\u7b97\u7c4c\u4ee3\u7b46\uff0c\u8a08\u7b97\u7684\u904e\u7a0b\u5be6\u969b\u4e0a\u5c31\u662f\u7b97\u7c4c\u7684\u64cd\u5f04\uff0c\u56e0\u6b64\u8853\u6587\u4e2d\u6709\u4e00\u4e9b\u662f\u7b97\u7c4c\u6240\u5e36\u4f86\u7684\u96e3\u5ea6\uff0c\u5728\u6b64\u5ffd\u7565\u4e0d\u7ba1\u3002\u540c\u6642\u5728\u5289\u5fbd\u7684\u6ce8\u91cb\u4e2d\uff0c\u4ed6\u4e5f\u63d0\u4f9b\u4e86\u4e00\u500b\u76f8\u7576\u6e05\u695a\u7c21\u6f54\u7684\u5e7e\u4f55\u89e3\u91cb\u3002<\/p>\n

\u6211\u5011\u5148\u4ee5\u7c21\u55ae\u7684 \\(144\\) \u70ba\u4f8b\uff0c\u5982\u984c\u76ee\u6240\u8a00\uff0c\u5047\u8a2d\u4e00\u500b\u9762\u7a4d\u70ba \\(144\\) \u7684\u6b63\u65b9\u5f62\uff0c\u5982\u4e0b\u5716\u3002<\/p>\n

\u7531\u65bc\u5341\u9032\u4f4d\u5236\u7684\u95dc\u4fc2\uff0c\\(100\\) \u958b\u65b9\u70ba \\(10\\)\uff0c\u56e0\u6b64\u5148\u8003\u616e\u5341\u4f4d\u6578 \\(a\\)\u3002<\/p>\n

\u7531\u65bc \\(10\\) \u7684\u5e73\u65b9\u70ba \\(100\\) \u6700\u63a5\u8fd1\u800c\u4e0d\u8d85\u904e\uff0c\u56e0\u6b64\u958b\u65b9\u5f8c\u5f97\u5341\u4f4d\u6578\u70ba \\(1\\)\u3002<\/p>\n

\u5f9e\u9762\u7a4d\u70ba \\(144\\) \u7684\u6b63\u65b9\u5f62\u4e2d\uff0c\u6263\u9664\u4e00\u500b\u9762\u7a4d\u70ba \\(10^2=100\\)\u00a0\u7684\u5c0f\u6b63\u65b9\u5f62\u5f8c\uff0c<\/p>\n

\u5269\u4e0b\u4e8c\u500b\u77e9\u5f62\u8207\u4e00\u500b\u5c0f\u6b63\u65b9\u5f62\u3002<\/p>\n

\u6b64\u6642\u8a2d\u4e0b\u4e00\u4f4d\u7684\u500b\u4f4d\u6578\u70ba \\(b\\)\uff0c\u5c0f\u6b63\u65b9\u5f62\u7684\u908a\u9577\u5247\u70ba \\(b\\)\uff0c<\/p>\n

\u56e0\u6b64\u5269\u9918\u7684\u9762\u7a4d \\(144-100=44\\) \u61c9\u8a72\u8981\u7b49\u65bc\u5169\u500b\u77e9\u5f62\u8207\u5c0f\u6b63\u65b9\u5f62\u7684\u9762\u7a4d\u548c\uff0c<\/p>\n

\u6545\u5c07\u5148\u524d\u5f97\u5230\u7684\u5341\u4f4d\u6578 \\(1\\) \u4e58\u4ee5 \\(2\\) \u500d\u5f97 \\(20\\)\uff0c<\/p>\n

\u518d\u8003\u616e \\(b\\)\uff0c\u8981\u4f7f\u5f97 \\(b(20+b)=44\\)\uff0c\u56e0\u6b64\u5f97 \\(b\\)\u00a0\u70ba \\(2\\)\uff0c<\/p>\n

\u56e0\u70ba \\(2\\times (20+2)=44\\)\uff0c\u6545\u5f97 \\(144\\) \u7684\u5e73\u65b9\u70ba \\(12\\)\u3002<\/p>\n

\"51628_p1\"<\/a> \"51628_p2\"<\/a><\/p>\n

\u5f9e\u5e7e\u4f55\u89e3\u91cb\u4e2d\u6211\u5011\u53ef\u4ee5\u767c\u73fe\uff0c\u7576\u6211\u5011\u6240\u6c42\u7684\u5e73\u65b9\u6839\u70ba\u4e8c\u4f4d\u6578\u6642\uff0c\u6240\u7528\u5230\u7684\u4ee3\u6578\u95dc\u4fc2\u5f0f\u5373\u662f<\/p>\n

\\((a+b)^2=a^2+2ab+b^2=a^2+b(2a+b)\\)\u3002<\/p>\n

\u5148\u731c\u6e2c\u5341\u4f4d\u6578\u5b57(1)\uff0c\u6e1b\u53bb\u5176\u5e73\u65b9(100)\u4e4b\u5f8c\uff0c\u5c07\u6b64\u65782\u500d(1+1=2)\uff0c\u518d\u731c\u6e2c\u500b\u4f4d\u6578\u5b57\u3002<\/p>\n

\u800c\u5728\u4e0a\u8ff0\u6240\u63d0\u5c11\u5ee3\u5377\u4e2d\u7684\u554f\u984c\uff0c\u6c42\u9762\u7a4d\u70ba55225\u7684\u6b63\u65b9\u5f62\u908a\u9577\uff0c\u4f30\u8a08\u6240\u6c42\u7684\u5e73\u5206\u6839\u70ba\u4e09\u4f4d\u6578\uff0c\u7531<\/p>\n

\\(\\begin{array}{ll}(a+b+c)^2 &=a^2+b^2+c^2+2ab+2ac+2bc\\\\&=a^2+b(2a+b)+c(2a+2b+c)\\end{array}\\)<\/p>\n

\u53ef\u77e5\uff0c\u6b64\u6642\u958b\u65b9\u6240\u4f7f\u7528\u7684\u65b9\u6cd5\u8207\u524d\u9762\u76f8\u540c\uff0c\u53ea\u662f\u591a\u6c421\u500b\u4f4d\u6578\u800c\u5df2\u3002\u8a08\u7b97\u6b65\u9a5f\u5982\u4e0b\uff1a<\/p>\n

    \n
  1. \u5c07 \\(55225\\) \u5f9e\u500b\u4f4d\u6578\u958b\u59cb\u4e8c\u4f4d\u4e00\u6487\u4f5c\u8a18\u865f\uff08\u5b9a\u4f4d\uff09\uff0c\u7531\u6b64\u77e5\u6240\u6c42\u5e73\u65b9\u6839\u70ba\u4e09\u4f4d\u6578 \\(a+b+c\\)\"51628_p3\"<\/a><\/li>\n
  2. \u731c\u6e2c\u6700\u63a5\u8fd1 \\(5\\) \u7684\u5e73\u65b9\u6578\u70ba \\(2(a=200)\\)\uff0c\u5f9e \\(55225\\) \u4e2d\u6e1b\u53bb \\(200^2=40000\\)\uff0c\u5269\u4e0b \\(15225\\)
    \n    \"51628_p4\"<\/a><\/li>\n
  3. \u5c07 \\(200\\) \u81ea\u5df1\u52a0\u4e00\u6b21\uff08\\(2\\)\u500d\uff09\uff0c\u8003\u616e\u4e0b\u4e00\u4f4d\u6578 \\(b\\)\uff0c\u8981\u63a5\u8fd1\u800c\u4e0d\u8d85\u904e \\(15225\\)\uff0c\u5f97 \\(b=30\\)\uff0c
    \n\u5f9e \\(15225\\) \u4e2d\u6e1b\u53bb \\(30\\times 430=12900\\)\uff0c\u5269\u4e0b \\(2325\\)
    \n    \"51628_p5\"<\/a><\/li>\n
  4. \u5c07 \\(30\\) \u518d\u52a0\u4e00\u6b21\uff08\\(2\\)\u500d\uff09\uff0c\u4f75\u5165\u4e4b\u524d\u7684\u7d50\u679c\u5f97 \\(460\\)\uff0c\u8003\u616e\u4e0b\u4e00\u4f4d\u6578 \\(c\\)\uff0c
    \n\u8981\u63a5\u8fd1 \\(2325\\) \u800c\u4e0d\u8d85\u904e\uff0c\u5f97 \\(c=5\\)\uff0c\u5f9e \\(2325\\) \u4e2d\u6e1b\u53bb \\(5\\times 465=2325\\)\uff0c\u9918\u6578\u70ba \\(0\\)<\/li>\n<\/ol>\n

    \"51628_p6\"<\/a><\/p>\n

    \u5982\u679c\u5728\u500b\u4f4d\u6578\u6e1b\u5b8c\u4e4b\u5f8c\u9084\u6709\u5269\uff0c\u5247\u5728\u500b\u4f4d\u6578\u4e4b\u5f8c\u6a19\u793a\u5c0f\u6578\u9ede\uff0c\u4e00\u6b21\u8003\u616e\u5169\u500b\u6578\u5b57\uff0c\u7e7c\u7e8c\u540c\u6a23\u7684\u52d5\u4f5c\uff0c\u76f4\u5230\u5f97\u5230\u60f3\u8981\u7684\u4f4d\u6578\u70ba\u6b62\uff0c\u4f8b\u5982\u6c42 \\(\\sqrt {52580} \\)\uff0c\u524d\u9762\u7684\u6b65\u9a5f\u8207\u4e0a\u9762\u76f8\u540c\uff0c\u63a5\u4e0b\u4f86\u5982\u4e0b\uff1a<\/p>\n

    \"51628_p7\"<\/a>
    \n<\/a>\u00a0\u5f97\u5230 \\(\\sqrt {52580}\\approx 235.11 \\)\u3002<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

    \u76f4\u5f0f\u958b\u65b9\u6cd5\u958b\u5e73\u65b9\u6839 \u81fa\u5317\u5e02\u7acb\u897f\u677e\u9ad8\u4e2d \u8607\u60e0\u7389\u6559\u5e2b \u76ee\u524d\u7684\u9ad8\u4e2d\u6578\u5b78\u6559\u6750\u4e2d\uff0c\u5df2\u7d93\u4e0d\u518d\u6559\u6388\u958b\u5e73\u65b9\u7684\u76f4\u5f0f\u958b\u65b9\u6cd5\uff0c\u5728\u8ab2\u7db1…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111],"tags":[6080,6083,11064,6082,6081],"class_list":["post-51628","post","type-post","status-publish","format-standard","hentry","category-mathematics00","tag-6080","tag-6083","tag-11064","tag-6082","tag-6081","loop-entry","cat-111","no-thumbnail"],"views":71814,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/51628","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=51628"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/51628\/revisions"}],"predecessor-version":[{"id":87181,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/51628\/revisions\/87181"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=51628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=51628"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=51628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}