{"id":212,"date":"2023-07-11T17:26:26","date_gmt":"2023-07-11T17:26:26","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%bb%80%e4%b9%88%e6%98%af%e5%90%91%e9%87%8f%e7%a4%ba%e4%be%8b%e4%bb%a5%e5%8f%8a%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e5%88%86%e9%87%8f%e6%88%96%e5%9d%90%e6%a0%87\/"},"modified":"2023-07-11T17:26:26","modified_gmt":"2023-07-11T17:26:26","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e5%90%91%e9%87%8f%e7%a4%ba%e4%be%8b%e4%bb%a5%e5%8f%8a%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e5%88%86%e9%87%8f%e6%88%96%e5%9d%90%e6%a0%87","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%bb%80%e4%b9%88%e6%98%af%e5%90%91%e9%87%8f%e7%a4%ba%e4%be%8b%e4%bb%a5%e5%8f%8a%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e5%88%86%e9%87%8f%e6%88%96%e5%9d%90%e6%a0%87\/","title":{"rendered":"\u4ec0\u4e48\u662f\u5411\u91cf\u7684\u5206\u91cf\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u5411\u91cf\u7684\u5206\u91cf"},"content":{"rendered":"

\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u5411\u91cf\u7684\u5206\u91cf\uff08\u6216\u5750\u6807\uff09\u7684\u89e3\u91ca\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u5b83\u4eec\u662f\u5982\u4f55\u4ece\u4e24\u70b9\u8ba1\u7b97\u51fa\u6765\u7684\uff0c\u751a\u81f3\u662f\u5982\u4f55\u901a\u8fc7\u6a21\u5757\u548c\u89d2\u5ea6\u8fdb\u884c\u5206\u89e3\u7684\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 <\/p>\n

<\/span>\u5411\u91cf\u7531\u54ea\u4e9b\u90e8\u5206\u7ec4\u6210\uff1f<\/span><\/h2>\n

\u77e2\u91cf\u7684\u5206\u91cf<\/strong>\u662f\u77e2\u91cf\u5728\u7b1b\u5361\u5c14\u8f74\u4e0a\u7684\u6295\u5f71\u3002\u56e0\u6b64\uff0c\u5411\u91cf\u5728 x \u8f74\u4e0a\u7684\u6295\u5f71\u662f\u5411\u91cf\u7684 X \u5206\u91cf\uff0c\u7c7b\u4f3c\u5730\uff0c\u5411\u91cf\u5728 y \u8f74\u4e0a\u7684\u6295\u5f71\u662f\u5411\u91cf\u7684 Y \u5206\u91cf\u3002<\/p>\n

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\n
\"\u5411\u91cf\u7684\u7ec4\u6210\u90e8\u5206\u662f\u4ec0\u4e48\"<\/figure>\n<\/div>\n

\u4f8b\u5982\uff0c\u4e0a\u56fe\u4e2d\u5411\u91cf\u7684\u6c34\u5e73\u5206\u91cf\u548c\u5782\u76f4\u5206\u91cf\u4e3a\uff1a<\/p>\n<\/p>\n

\"\\vv{\\text{u}}_x<\/p>\n<\/p>\n

\"\\vv{\\text{u}}_y<\/p>\n<\/p>\n

\u6240\u4ee5\u5411\u91cf\u662f\uff1a<\/p>\n<\/p>\n

\"\\vv{\\text{u}}<\/p>\n<\/p>\n

\u56e0\u6b64\uff0c\u5411\u91cf\u7684\u5206\u91cf\u4e5f\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u5411\u91cf\u5728\u5750\u6807\u7cfb\u4e2d\u7684\u8868\u793a\u3002\u663e\u7136\uff0c\u5982\u679c\u5b83\u662f\u4e8c\u7ef4\u7cfb\u7edf\uff08\u5728 r2 \u4e2d\uff09\uff0c\u5219\u5411\u91cf\u5c06\u5177\u6709\u4e24\u4e2a\u5206\u91cf\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u5b83\u662f\u4e09\u7ef4\u57fa\uff08\u5728 r3 \u4e2d\uff09\uff0c\u5219\u5411\u91cf\u5c06\u7531\u4e09\u4e2a\u5206\u91cf\u7ec4\u6210\u3002<\/p>\n

\u5411\u91cf\u7684\u7b1b\u5361\u5c14\u5206\u91cf\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u4e3a\u901a\u8fc7\u5b83\u4eec\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u5411\u91cf\u7684\u7279\u5f81\uff0c\u4e3b\u8981\u662f\u5411\u91cf\u7684\u65b9\u5411\u3001\u65b9\u5411\u548c\u6a21\uff08\u6216\u5e45\u5ea6\uff09\u3002\u6b64\u5916\uff0c\u5b83\u4eec\u8fd8\u7528\u4e8e\u6267\u884c\u5411\u91cf\u8fd0\u7b97\u3002 <\/p>\n

<\/span>\u5982\u4f55\u4ece\u4e24\u70b9\u8ba1\u7b97\u5411\u91cf\u7684\u5206\u91cf<\/span><\/h2>\n

\u6211\u4eec\u521a\u521a\u4e86\u89e3\u4e86\u5982\u4f55\u4ee5\u56fe\u5f62\u65b9\u5f0f\u67e5\u627e\u77e2\u91cf\u56fe\u7684\u5750\u6807\uff0c\u4f46\u662f\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u901a\u8fc7\u6570\u5b57\u65b9\u5f0f\u786e\u5b9a\u5176\u5206\u91cf\u3002<\/p>\n

\u4e3a\u4e86\u5bf9\u5411\u91cf\u7684\u5206\u91cf\u8fdb\u884c\u6570\u503c\u8ba1\u7b97\uff0c\u6211\u4eec\u9700\u8981\u77e5\u9053\u4e24\u70b9\uff1a\u5b83\u7684\u539f\u70b9\u548c\u7ec8\u70b9\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u7684\u8d77\u70b9\u548c\u7ec8\u70b9\u3002\u7531\u4e8e\u5411\u91cf\u7684\u5206\u91cf\u662f\u6211\u4eec\u901a\u8fc7\u51cf\u53bb\u5176\u672b\u7aef\u51cf\u53bb\u5176\u539f\u70b9\u83b7\u5f97\u7684\u5750\u6807\u3002<\/strong><\/p>\n<\/p>\n

\"\\vv{AB}<\/p>\n<\/p>\n

\u4f8b\u5982\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u539f\u70b9\u4e3a A(3,1)\u3001\u7ec8\u70b9\u4e3a B(5,4) \u7684\u5411\u91cf\uff1a<\/p>\n<\/p>\n

\"A(3,1)<\/p>\n<\/p>\n

\"\\begin{aligned}<\/p>\n<\/p>\n

\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u786e\u5b9a\u5411\u91cf\u7684\u5206\u91cf\u5e76\u4e0d\u662f\u5f88\u56f0\u96be\uff0c\u4f46\u662f\u975e\u5e38\u91cd\u8981\u3002\u4f8b\u5982\uff0c\u6700\u5e38\u7528\u7684\u77e2\u91cf\u7c7b\u578b\u4e4b\u4e00\u662f\u5782\u76f4\uff08\u6216\u6b63\u4ea4\uff09\u77e2\u91cf\uff1b\u597d\u5427\uff0c\u5982\u679c\u60a8\u4e86\u89e3\u5411\u91cf\u7684\u5750\u6807\u662f\u4ec0\u4e48\uff0c\u90a3\u4e48\u8ba1\u7b97\u5782\u76f4\u5411\u91cf\u5c31\u975e\u5e38\u5bb9\u6613\u3002\u60a8\u53ef\u4ee5\u5728\u6b63\u4ea4\u5411\u91cf<\/a>\u7684\u89e3\u91ca\u4e2d\u4e86\u89e3\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002 <\/p>\n

<\/span>\u5982\u4f55\u6839\u636e\u5411\u91cf\u7684\u6a21\u6570\u548c\u89d2\u5ea6\u8ba1\u7b97\u5411\u91cf\u7684\u5206\u91cf<\/span><\/h2>\n

\u60a8\u8fd8\u53ef\u4ee5\u6839\u636e\u5411\u91cf\u7684\u5927\u5c0f\u4ee5\u53ca\u5b83\u4e0e X \u8f74\u5f62\u6210\u7684\u89d2\u5ea6\u627e\u5230\u5411\u91cf\u7684\u5206\u91cf\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u79f0\u4e3a\u5411\u91cf\u5206\u89e3<\/strong>\u3002<\/p>\n

\u56e0\u6b64\uff0c\u77e2\u91cf\u7684 X \u548c Y \u5206\u91cf\u53ef\u4ee5\u901a\u8fc7\u4f59\u5f26\u548c\u6b63\u5f26\u7684\u4e09\u89d2\u6bd4\u6765\u8ba1\u7b97\uff1a <\/p>\n

\n
\"\u5982\u4f55\u83b7\u53d6\u5411\u91cf\u7684\u5206\u91cf\"<\/figure>\n<\/div>\n

\u5982\u56fe\u6240\u793a\uff0c\u5411\u91cf\u7684\u6a21\u53ca\u5176\u5206\u91cf\u6784\u6210\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u56e0\u6b64\u53ef\u4ee5\u5e94\u7528\u4e09\u89d2\u5b66\u7684\u521d\u7b49\u516c\u5f0f\u3002<\/p>\n

\u5982\u679c\u4f60\u4e0d\u8bb0\u5f97\u5411\u91cf\u7684\u6a21\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff0c\u4f60\u53ef\u4ee5\u67e5\u4e00\u4e0b\u5411\u91cf\u7684\u6a21\u662f\u591a\u5c11<\/a>\u3002\u5728\u8fd9\u91cc\uff0c\u60a8\u5c06\u627e\u5230\u5411\u91cf\u5927\u5c0f\u7684\u516c\u5f0f\u3001\u793a\u4f8b\u3001\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u4ee5\u53ca\u5411\u91cf\u5927\u5c0f\u7684\u6240\u6709\u5c5e\u6027\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u5b8c\u6574\u7684\u89e3\u91ca\uff0c\u6240\u4ee5\u4f60\u4f1a\u5b8c\u5168\u7406\u89e3\u5b83\u3002 \u2705<\/p>\n

\u4e0e\u59cb\u7ec8\u4e3a\u6b63\u7684\u5411\u91cf\u7684\u5927\u5c0f\u4e0d\u540c\uff0c\u5b83\u7684\u5206\u91cf\u53ef\u4ee5\u4e3a\u8d1f\uff0c\u56e0\u4e3a\u6b63\u5f26\u548c\u4f59\u5f26\u53ef\u4ee5\u53d6\u8d1f\u503c\u3002<\/p>\n

\u4f8b\u5982\uff0c\u6211\u4eec\u5c06\u5bf9\u6a21\u6570\u548c\u4e0e OX \u8f74\u7684\u89d2\u5ea6\u4e3a\u7684\u5411\u91cf\u8fdb\u884c\u5411\u91cf\u5206\u89e3\uff1a<\/p>\n<\/p>\n

\"\\lvert<\/p>\n<\/p>\n

\u5411\u91cf\u7684 X \u5206\u91cf\u7b49\u4e8e\u6a21\u4e58\u4ee5\u89d2\u5ea6\u7684\u4f59\u5f26\uff1a<\/p>\n<\/p>\n

\"\\text{u}_x=<\/p>\n<\/p>\n

\u5411\u91cf\u7684 Y \u5206\u91cf\u7b49\u4e8e\u6a21\u4e0e\u89d2\u5ea6\u6b63\u5f26\u7684\u4e58\u79ef\uff1a<\/p>\n<\/p>\n

\"\\text{u}_y=<\/p>\n<\/p>\n

\u6240\u4ee5\u5411\u91cf\u7684\u5750\u6807\u4e3a\uff1a<\/p>\n<\/p>\n

\"\\vv{\\mathbf{u}}\\bm{<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"

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