{"id":14177,"date":"2010-11-01T10:37:37","date_gmt":"2010-11-01T10:37:37","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=14177"},"modified":"2021-10-06T16:31:05","modified_gmt":"2021-10-06T08:31:05","slug":"%e7%9f%a9%e9%99%a3%e7%9a%84%e9%ab%98%e6%96%af%e6%b6%88%e5%8e%bb%e6%b3%95-gaussian-method-of-elimination","status":"publish","type":"post","link":"http:\/\/localhost\/%e7%9f%a9%e9%99%a3%e7%9a%84%e9%ab%98%e6%96%af%e6%b6%88%e5%8e%bb%e6%b3%95-gaussian-method-of-elimination\/","title":{"rendered":"\u77e9\u9663\u7684\u9ad8\u65af\u6d88\u53bb\u6cd5"},"content":{"rendered":"

\u77e9\u9663\u7684\u9ad8\u65af\u6d88\u53bb\u6cd5 (Gaussian Method of Elimination)<\/span>
\n\u81fa\u5317\u5e02\u7acb\u7b2c\u4e00\u5973\u5b50\u4e2d\u5b78\u6578\u5b78\u79d1\u8607\u4fca\u9d3b\u8001\u5e2b\/\u570b\u7acb\u81fa\u7063\u5e2b\u7bc4\u5927\u5b78\u6578\u5b78\u7cfb\u6d2a\u842c\u751f\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/p>\n

\u5c07\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u4fc2\u6578\u5c0d\u61c9\u5beb\u6210\u589e\u5ee3\u77e9\u9663\uff0c\u518d\u5229\u7528\u77e9\u9663\u7684\u5217\u904b\u7b97\u6c42\u89e3\uff0c\u9019\u662f\u7dda\u6027\u65b9\u7a0b\u7d44\u6c42\u89e3\u7684\u5e38\u898b\u65b9\u6cd5\u4e4b\u4e00\uff0c\u5e38\u88ab\u7a31\u70ba\u9ad8\u65af\u6d88\u53bb\u6cd5\u3002\u572898 \u8ab2\u7db1\u4e2d\uff0c\u8ca0\u8cac\u8ab2\u7a0b\u8a2d\u8a08\u6216\u898f\u5283\u7684\u5b78\u8005\uff0c\u66f4\u7279\u5225\u5efa\u8b70\u7531\u4e00\u822c\u7dda\u6027\u65b9\u7a0b\u7d44\u5207\u5165\uff0c\u85c9\u4ee5\u4ecb\u7d39\u77e9\u9663\u7684\u6982\u5ff5\u3002\u4e8b\u5be6\u4e0a\uff0c\u5229\u7528\u77e9\u9663\u7684\u60f3\u6cd5\u4f86\u89e3\u6c7a\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u554f\u984c\uff0c\u6211\u5011\u53ef\u4ee5\u8ffd\u6eaf\u5230\u4e2d\u570b\u6f22\u4ee3\uff0c\u5728\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u65b9\u7a0b\u7ae0\u5c31\u770b\u5230\u5b8c\u6574\u7684\u89e3\u6c7a\u7a0b\u5e8f\u3002<\/span><\/p>\n

\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u4e00\u66f8\u6210\u66f8\u7d04\u5728\u897f\u6f22\u672b\u5e74 (\u516c\u5143\u524d\u4e00\u4e16\u7d00)\uff0c\u5167\u5bb9\u5305\u62ec\u65b9\u7530\u3001\u6817\u7c73\u3001\u8870\u5206\u3001\u5c11\u5ee3\u3001\u5546\u529f\u3001\u5747\u8f38\u3001\u76c8\u4e0d\u8db3\uff0c\u65b9\u7a0b\u3001\u52fe\u80a1\u7b49\u4e5d\u7ae0\uff0c\u5171 246 \u500b\u554f\u984c\u3002\u672c\u66f8\u5728\u4e2d\u7b97\u53f2\u6709\u8457\u4e0d\u53ef\u52d5\u6416\u7684\u5730\u4f4d\uff0c\u4e3b\u8981\u662f\u56e0\u70ba\u5b83\u6df1\u523b\u5730\u5f71\u97ff\u5f8c\u4f86\u4e2d\u570b\u6578\u5b78\u7684\u767c\u5c55\u3002\u543e\u4eba\u5f97\u4ee5\u7406\u89e3\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u8853\u6587\u7684\u5167\u5bb9\uff0c\u5247\u662f\u591a\u8667\u4e86\u9b4f\u6649\u5289\u5fbd\u6ce8\u89e3\u8853\u6587\u7684\u529f\u52de\u3002\u7136\u800c\uff0c\u5c0d\u65bc\u5289\u5fbd\u7684\u751f\u5e73\u6211\u5011\u537b\u5e7e\u4e4e\u4e00\u7121\u6240\u77e5\u3002<\/span><\/p>\n

\u300a\u4e5d\u7ae0\u7b97\u8853\u300b\u65b9\u7a0b\u7ae0\u5171\u6709 18 \u500b\u554f\u984c\uff0c\u4ee5\u4eca\u65e5\u7684\u6578\u5b78\u4f86\u770b\uff0c\u5747\u70ba\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u554f\u984c\u3002\u4ee5\u4e0b\u7528\u65b9\u7a0b\u7ae0\u7684\u7b2c\u4e00\u554f\u70ba\u4f8b\uff0c\u8aaa\u660e\u4e2d\u7b97\u5bb6\u5982\u4f55\u6c42\u89e3\u7dda\u6027\u65b9\u7a0b\u7d44\u3002\u5176\u554f\u984c\u5982\u4e0b\uff1a<\/span><\/p>\n

\u4eca\u6709\u4e0a\u79be\u4e09\u79c9\uff0c\u4e2d\u79be\u4e8c\u79c9\uff0c\u4e0b\u79be\u4e00\u79c9\uff0c\u5be6\u4e09\u5341\u4e5d\u6597\uff1b\u4e0a\u79be\u4e8c\u79c9\uff0c\u4e2d\u79be\u4e09\u79c9\uff0c\u4e0b\u79be\u4e00\u79c9\uff0c\u5be6\u4e09\u5341\u56db\u6597\uff1b\u4e0a\u79be\u4e00\u79c9\uff0c\u4e2d\u79be\u4e8c\u79c9\uff0c\u4e0b\u79be\u4e09\u79c9\uff0c\u5be6\u4e8c\u5341\u516d\u6597\u3002\u554f\u4e0a\u3001\u4e2d\u3001\u4e0b\u79be\uff0c\u5be6\u4e00\u79c9\u5e7e\u4f55\uff1f\u7b54\u66f0\uff1a\u4e0a\u79be\u4e00\u79c9\u4e5d\u6597\u56db\u5206\u6597\u4e4b\u4e00\uff1b\u4e2d\u79be\u4e00\u79c9\u56db\u6597\u56db\u5206\u6597\u4e4b\u4e00\uff1b\u4e0b\u79be\u4e00\u79c9\u4e8c\u6597\u56db\u5206\u6597\u4e4b\u4e09\u3002<\/strong><\/span><\/p>\n

\u5982\u679c\u7528\u73fe\u5728\u7684\u6578\u5b78\u7b26\u865f\u4f86\u8868\u793a\uff0c\u8a2d\u4e0a\u79be\u4e00\u79c9\uff08\u4ea6\u5373\u4e00\u675f\uff09\u70ba $${x}$$ \u6597\uff1b\u4e2d\u79be\u4e00\u79c9\u70ba $${y}$$ \u6597\uff1b\u4e0b\u79be\u4e00\u79c9\u70ba $${z}$$ \u6597\u3002\u4f9d\u984c\u610f\u53ef\u5217\u51fa\u7dda\u6027\u65b9\u7a0b\u7d44<\/span><\/p>\n

$$\\left\\{\\begin{array}{ll}3{x}+2{y}+{z}=39\\\\2{x}+3{y}+{z}=34\\\\{x}+2{y}+3{z}=26\\end{array}\\right.$$<\/span><\/p>\n

\uff0c\u7b54\u6848\u5247\u662f $$\\displaystyle {x}= 9 \\frac{1}{4},{y}= 4 \\frac{1}{4}, {y}= 2\\frac{3}{4}$$\u3002
\n<\/span><\/p>\n

\u7136\u5247\u53e4\u4eba\u5982\u4f55\u5217\u5f0f\u8207\u6c42\u89e3\u5462\uff1f\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n

\u8853\u66f0\uff1a\u7f6e\u4e0a\u79be\u4e09\u79c9\u3001\u4e2d\u79be\u4e8c\u79c9\u3001\u4e0b\u79be\u4e00\u79c9\uff0c\u5be6\u4e09\u5341\u4e5d\u6597\u65bc\u53f3\u65b9\u3002\u4e2d\u3001\u5de6\u79be\u5217\u5982\u53f3\u65b9\u3002\u4ee5\u53f3\u884c\u4e0a\u79be\u904d\u4e58\u4e2d\u884c\uff0c\u800c\u4ee5\u76f4\u9664\u3002\u53c8\u4e58\u5176\u6b21\uff0c\u4ea6\u4ee5\u76f4\u9664\u3002\u7136\u4ee5\u4e2d\u884c\u4e2d\u79be\u4e0d\u76e1\u8005\u904d\u4e58\u5de6\u884c\uff0c\u800c\u4ee5\u76f4\u9664\u3002\u5de6\u65b9\u4e0b\u79be\u4e0d\u76e1\u8005\uff0c\u4e0a\u70ba\u6cd5\uff0c\u4e0b\u70ba\u5be6\u3002\u5be6\u5373\u4e0b\u79be\u4e4b\u5be6\u3002\u6c42\u4e2d\u79be\uff0c\u4ee5\u6cd5\u4e58\u4e2d\u884c\u4e0b\u5be6\u3002\u800c\u9664\u4e0b\u79be\u4e4b\u5be6\u3002\u9918\uff0c\u5982\u4e2d\u79be\u79c9\u6578\u800c\u4e00\uff0c\u5373\u4e2d\u79be\u4e4b\u5be6\u3002\u6c42\u4e0a\u79be\uff0c\u4ea6\u4ee5\u6cd5\u4e58\u53f3\u884c\u4e0b\u5be6\uff0c\u800c\u9664\u4e0b\u79be\u3001\u4e2d\u79be\u4e4b\u5be6\u3002\u9918\uff0c\u5982\u4e0a\u79be\u79c9\u6578\u800c\u4e00\uff0c\u5373\u4e0a\u79be\u4e4b\u5be6\u3002\u5be6\u7686\u5982\u6cd5\uff0c\u5404\u5f97\u4e00\u6597\u3002<\/strong><\/span><\/p>\n

\u6b64\u6bb5\u8853\u6587\u70ba\u65b9\u7a0b\u7ae0\u7684\u6838\u5fc3\uff0c\u70ba\u4e86\u8b93\u8b80\u8005\u5011\u80fd\u5bb9\u6613\u638c\u63e1\u65b9\u7a0b\u8853\u7684\u8853\u6587\uff0c\u4ee5\u4e0b\u63a1\u7528\u5de6\u53f3\u5206\u5217\u7684\u5c0d\u7167\u65b9\u5f0f\u8a73\u52a0\u8aaa\u660e\uff0c\u4e26\u5c07\u65b9\u7a0b\u7d44\u7684\u5217\u5f0f\u9010\u4e00\u7e6a\u51fa\u3002\u4e0d\u904e\uff0c\u53e4\u4eba\u662f\u7528\u7b97\u7c4c\u5217\u5f0f\u8a08\u7b97\uff0c\u6b64\u8655\u4fbf\u65bc\u8868\u793a\u6539\u4ee5\u963f\u62c9\u4f2f\u6578\u5b57\u3002<\/span><\/p>\n

\"1\"<\/a><\/p>\n

 <\/p>\n

\"2\"<\/a><\/p>\n

\u76f8\u8f03\u65bc\u897f\u65b9\u6578\u5b78\u7684\u767c\u5c55\uff0c\u4e2d\u570b\u53e4\u4ee3\u6578\u5b78\u5bb6\u5c0d\u65bc\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u6c42\u89e3\uff0c\u78ba\u5be6\u6709\u8457\u6975\u65e9\u7684\u767c\u5c55\u3002\u7a76\u7adf\u662f\u4ec0\u9ebc\u6a23\u7684\u56e0\u7d20\u9020\u6210\uff1f\u53f2\u5bb6\u5927\u81f4\u6b78\u7d50\u5230\u4e2d\u570b\u4eba\u5c0d\u65bc\u7b97\u7c4c\u9019\u9805\u5de5\u5177\u7684\u4f7f\u7528\u3002\u7531\u65bc\u7b97\u7c4c\u7684\u4f7f\u7528\uff0c\u4f7f\u5f97\u4f4d\u7f6e\u503c\u5236\u6982\u5ff5\u8b8a\u4f7f\u7528\u8b8a\u5f97\u5341\u5206\u91cd\u8981\u3002\u56e0\u800c\uff0c\u5229\u7528\u4f4d\u7f6e\u4f86\u8868\u793a\u65b9\u7a0b\u5f0f\u7d44\u5404\u884c\u672a\u77e5\u6578\u7684\u4fc2\u6578\u53ca\u5e38\u6578\u4e5f\u8b8a\u5f97\u76f8\u7576\u81ea\u7136\u4e14\u53ef\u884c\u3002\u4e8b\u5be6\u4e0a\uff0c\u7b97\u7c4c\u6210\u70ba\u4e2d\u570b\u53e4\u4ee3\u6578\u5b78\u7684\u4e3b\u8981\u8a08\u7b97\u5de5\u5177\uff0c\u4f7f\u5f97\u7528\u6a5f\u68b0\u5316\u7684\u7a0b\u5e8f\u7b97\u6cd5\uff0c\u53ef\u4f9b\u64cd\u4f5c\u6c42\u53d6\u6578\u503c\u89e3\uff0c\u6210\u70ba\u4e2d\u7b97\u7684\u91cd\u8981\u7279\u5fb5\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u5011\u60f3\u8981\u6df1\u5165\u77ad\u89e3\u6578\u5b78\u77e5\u8b58\u6d3b\u52d5\uff0c\u90a3\u9ebc\uff0c\u5176\u6240\u5728\u7684\u793e\u6703\u6587\u5316\u56e0\u7d20\u4e5f\u975e\u5e38\u503c\u5f97\u6ce8\u610f\u3002\u7279\u5225\u5730\uff0c\u57fa\u65bc\u672c\u6587\u4e4b\u4f8b\u8b49\uff0c\u6211\u5011\u4e5f\u53ef\u4ee5\u5f9e\u4e0d\u540c\u65bc\u89e3\u984c\u7684\u9762\u5411\u5207\u5165\uff0c\u4f86\u8a55\u50f9\u6578\u5b78\u3002<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

\u77e9\u9663\u7684\u9ad8\u65af\u6d88\u53bb\u6cd5 (Gaussian Method of Elimination) \u81fa\u5317\u5e02\u7acb\u7b2c\u4e00\u5973\u5b50\u4e2d\u5b78\u6578\u5b78\u79d1…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111,231],"tags":[1636,1637],"class_list":["post-14177","post","type-post","status-publish","format-standard","hentry","category-mathematics00","category-math07","tag-1636","tag-1637","loop-entry","cat-111","cat-231","no-thumbnail"],"views":11134,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/14177","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=14177"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/14177\/revisions"}],"predecessor-version":[{"id":89376,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/14177\/revisions\/89376"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=14177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=14177"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=14177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}