{"id":202806,"date":"2024-05-10T03:42:13","date_gmt":"2024-05-09T19:42:13","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/202806.html"},"modified":"2024-05-10T03:42:18","modified_gmt":"2024-05-09T19:42:18","slug":"%e6%80%8e%e4%b9%88%e7%94%a8%e9%80%92%e5%bd%92%e6%b3%95%e8%ae%a1%e7%ae%97%e8%a1%8c%e5%88%97%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/202806.html","title":{"rendered":"\u600e\u4e48\u7528\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24142142\/3276a0d1-7778-48ed-8e7c-13dc846d0245.webp\" alt=\"\u600e\u4e48\u7528\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\" \/><\/p>\n<p><p>\u884c\u5217\u5f0f\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u8ba1\u7b97\uff0c\u800c<strong>\u9012\u5f52\u6cd5<\/strong>\u662f\u5176\u4e2d\u7684\u4e00\u79cd\u5b9e\u73b0\u65b9\u5f0f\u3002\u5b83\u57fa\u4e8e\u62c9\u666e\u62c9\u65af\u5c55\u5f00\u5c06\u884c\u5217\u5f0f\u4e0d\u65ad\u5206\u89e3\u4e3a\u8f83\u5c0f\u7684\u5b50\u884c\u5217\u5f0f\u8ba1\u7b97\u7684\u95ee\u9898\u3002\u9012\u5f52\u6cd5\u7684\u5173\u952e\u5728\u4e8e<strong>\u9010\u6b65\u964d\u4f4e\u884c\u5217\u5f0f\u7684\u9636\u6570<\/strong>\u3001<strong>\u8fd0\u7528\u57fa\u7840\u7684\u505c\u6b62\u6761\u4ef6<\/strong>\uff08\u5982\u4e00\u9636\u884c\u5217\u5f0f\u76f4\u63a5\u8fd4\u56de\u5176\u503c\uff09\u4ee5\u53ca<strong>\u5408\u7406\u5229\u7528\u9012\u5f52\u51fd\u6570<\/strong>\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><p>\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u901a\u5e38\u9075\u5faa\u4ee5\u4e0b\u903b\u8f91\uff1a\u9996\u5148\u68c0\u67e5\u884c\u5217\u5f0f\u7684\u9636\u6570\uff0c\u5982\u679c\u662f\u4e00\u9636\u884c\u5217\u5f0f\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\u5176\u552f\u4e00\u7684\u5143\u7d20\u503c\u3002\u82e5\u884c\u5217\u5f0f\u9636\u6570\u5927\u4e8e\u4e00\uff0c\u5219\u9009\u62e9\u4efb\u4e00\u884c\u6216\u5217\uff0c\u5e76\u56f4\u7ed5\u8fd9\u884c\u6216\u8fd9\u5217\u8fdb\u884c\u62c9\u666e\u62c9\u65af\u5c55\u5f00\uff0c\u628a\u539f\u884c\u5217\u5f0f\u8868\u793a\u4e3a\u82e5\u5e72\u4e2a\u8f83\u5c0f\u884c\u5217\u5f0f\u4e0e\u5176\u5bf9\u5e94\u4ee3\u6570\u4f59\u5b50\u5f0f\u7684\u4e58\u79ef\u4e4b\u548c\u3002\u63a5\u7740\uff0c\u5bf9\u6bcf\u4e2a\u8f83\u5c0f\u7684\u5b50\u884c\u5217\u5f0f\u91c7\u7528\u76f8\u540c\u7684\u65b9\u6cd5\u9012\u5f52\u8ba1\u7b97\u76f4\u5230\u964d\u81f3\u4e00\u9636\u884c\u5217\u5f0f\u3002\u8fd9\u79cd\u65b9\u6cd5\u7684\u590d\u6742\u5ea6\u8f83\u9ad8\uff0c\u5bf9\u4e8e\u5927\u9636\u884c\u5217\u5f0f\u8ba1\u7b97\u5e76\u4e0d\u5b9e\u7528\uff0c\u4f46\u5b83\u5728\u7406\u89e3\u884c\u5217\u5f0f\u7684\u7ed3\u6784\u548c\u6027\u8d28\u65b9\u9762\u5177\u6709\u6559\u80b2\u610f\u4e49\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u9012\u5f52\u6cd5\u6982\u8ff0<\/h3>\n<\/p>\n<p><p>\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u672c\u8d28\u4e0a\u662f\u4e00\u4e2a\u5c06\u590d\u6742\u95ee\u9898<strong>\u5206\u800c\u6cbb\u4e4b<\/strong>\u7684\u8fc7\u7a0b\u3002\u5728\u8fdb\u884c\u9012\u5f52\u8ba1\u7b97\u65f6\uff0c\u901a\u5e38\u4f1a\u9009\u53d6\u7b2c\u4e00\u884c\u6216\u5217\u6765\u8fdb\u884c\u5c55\u5f00\uff0c\u4f46\u662f\u4e5f\u53ef\u4ee5\u9009\u62e9\u4efb\u4f55\u4e00\u884c\u6216\u5217\uff08\u7406\u8bba\u4e0a\u5e94\u9009\u62e9\u542b\u6709\u6700\u591a\u96f6\u7684\u884c\u6216\u5217\u6765\u51cf\u5c11\u8ba1\u7b97\u91cf\uff09\u3002\u9012\u5f52\u6cd5\u7684\u4f18\u70b9\u662f\u7b97\u6cd5\u601d\u60f3\u7b80\u5355\u660e\u4e86\uff0c\u5bb9\u6613\u901a\u8fc7\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\uff1b\u7f3a\u70b9\u662f\u6548\u7387\u8f83\u4f4e\uff0c\u590d\u6742\u5ea6\u4e3aO(n!)\uff0c\u5bf9\u4e8e\u9636\u6570\u8f83\u9ad8\u7684\u884c\u5217\u5f0f\u6765\u8bf4\uff0c\u8ba1\u7b97\u91cf\u5de8\u5927\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u884c\u5217\u5f0f\u7684\u5b9a\u4e49\u548c\u6027\u8d28<\/h3>\n<\/p>\n<p><p>\u5728\u6df1\u5165\u9012\u5f52\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u56de\u987e\u884c\u5217\u5f0f\u7684\u4e00\u4e9b\u5b9a\u4e49\u548c\u6027\u8d28\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u884c\u5217\u5f0f\u7684\u5b9a\u4e49<\/strong>\uff1a\u884c\u5217\u5f0f\u662f\u4e00\u4e2a\u5c06\u65b9\u9635\u6620\u5c04\u5230\u4e00\u4e2a\u6807\u91cf\u7684\u51fd\u6570\u3002\u5bf9\u4e8e\u4e00\u4e2an\u9636\u65b9\u9635A\uff0c\u5b83\u7684\u884c\u5217\u5f0f\u8bb0\u4f5cdet(A)\u6216|A|\u3002\u884c\u5217\u5f0f\u7684\u503c\u5177\u6709\u591a\u79cd\u51e0\u4f55\u610f\u4e49\uff0c\u6bd4\u5982\u5728\u4e8c\u7ef4\u548c\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u4ee3\u8868\u4e86\u5411\u91cf\u6784\u6210\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u6216\u5e73\u884c\u516d\u9762\u4f53\u7684\u9762\u79ef\u6216\u4f53\u79ef\u3002<\/li>\n<li><strong>\u884c\u5217\u5f0f\u7684\u6027\u8d28<\/strong>\uff1a\u884c\u5217\u5f0f\u5177\u6709\u82e5\u5e72\u91cd\u8981\u6027\u8d28\uff0c\u5176\u4e2d\u5305\u62ec\uff1a\n<ul>\n<li>\u5bf9\u6362\u884c\u5217\u5f0f\u7684\u4e24\u884c\uff08\u6216\u4e24\u5217\uff09\uff0c\u884c\u5217\u5f0f\u7684\u503c\u53d8\u53f7\u3002<\/li>\n<li>\u884c\u5217\u5f0f\u7684\u4e00\u884c\uff08\u6216\u5217\uff09\u4e58\u4ee5\u5e38\u6570k\uff0c\u884c\u5217\u5f0f\u7684\u503c\u4e5f\u4e58\u4ee5k\u3002<\/li>\n<li>\u82e5\u884c\u5217\u5f0f\u7684\u4e24\u884c\uff08\u6216\u4e24\u5217\uff09\u76f8\u7b49\uff0c\u90a3\u4e48\u884c\u5217\u5f0f\u7684\u503c\u4e3a\u96f6\u3002<\/li>\n<li>\u884c\u5217\u5f0f\u7684\u503c\u7b49\u4e8e\u5b83\u7684\u4efb\u4e00\u884c\uff08\u6216\u5217\uff09\u7684\u5143\u7d20\u4e0e\u5176\u5bf9\u5e94\u4ee3\u6570\u4f59\u5b50\u5f0f\u7684\u4e58\u79ef\u4e4b\u548c\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><h3>\u4e09\u3001\u62c9\u666e\u62c9\u65af\u5c55\u5f00<\/h3>\n<\/p>\n<p><p><strong>\u62c9\u666e\u62c9\u65af\u5c55\u5f00<\/strong>\u662f\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u4e00\u4e2a\u91cd\u8981\u7684\u5de5\u5177\uff0c\u5b83\u7684\u6838\u5fc3\u5728\u4e8e\u5c06\u4e00\u4e2an\u9636\u884c\u5217\u5f0f\u5206\u89e3\u6210n\u4e2a(n-1)\u9636\u5b50\u884c\u5217\u5f0f\u7684\u548c\u3002\u6bcf\u4e2a\u5b50\u884c\u5217\u5f0f\u4e0e\u539f\u884c\u5217\u5f0f\u4e2d\u9009\u62e9\u884c\uff08\u6216\u5217\uff09\u7684\u5bf9\u5e94\u5143\u7d20\u4e0e\u5176\u4ee3\u6570\u4f59\u5b50\u5f0f\u7684\u4e58\u79ef\u3002\u516c\u5f0f\u5177\u4f53\u4e3a\uff1a<\/p>\n<\/p>\n<p><p>[ |A| = \\sum (-1)^{i+j} a_{ij} |M_{ij}| ]<\/p>\n<\/p>\n<p><p>\u5176\u4e2d\uff0c(a_{ij}) \u662f\u884c\u5217\u5f0f\u4e2d\u7b2ci\u884c\u7b2cj\u5217\u7684\u5143\u7d20\uff0c(M_{ij}) \u662f\u53bb\u6389\u7b2ci\u884c\u7b2cj\u5217\u540e\u5269\u4e0b\u7684\u5b50\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u8fd9\u91cc\u7684(-1)^{i+j}\u662f\u4e00\u4e2a\u4ee3\u6570\u56e0\u5b50\uff0c\u7528\u4e8e\u51b3\u5b9a\u52a0\u6cd5\u6216\u51cf\u6cd5\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u9012\u5f52\u51fd\u6570\u7684\u8bbe\u8ba1<\/h3>\n<\/p>\n<p><p>\u9012\u5f52\u51fd\u6570\u7684\u7ed3\u6784\u901a\u5e38\u5305\u542b\u4e24\u4e2a\u90e8\u5206\uff1a\u57fa\u7ebf\u6761\u4ef6\u548c\u9012\u5f52\u6761\u4ef6\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u57fa\u7ebf\u6761\u4ef6<\/strong>\uff1a\u5f53\u884c\u5217\u5f0f\u4e3a\u4e00\u9636\u65f6\uff0c\u51fd\u6570\u76f4\u63a5\u8fd4\u56de\u8be5\u5143\u7d20\u7684\u503c\u3002\u8fd9\u662f\u9012\u5f52\u4e2d\u975e\u5e38\u91cd\u8981\u7684\u505c\u6b62\u6761\u4ef6\uff0c\u9632\u6b62\u65e0\u9650\u9012\u5f52\u4e0b\u53bb\u3002<\/li>\n<li><strong>\u9012\u5f52\u6761\u4ef6<\/strong>\uff1a\u5bf9\u4e8e\u9ad8\u9636\u884c\u5217\u5f0f\uff0c\u51fd\u6570\u901a\u8fc7\u62c9\u666e\u62c9\u65af\u5c55\u5f00\u5206\u89e3\u4e3a\u66f4\u5c0f\u9636\u6570\u7684\u884c\u5217\u5f0f\uff0c\u5e76\u5bf9\u6bcf\u4e2a\u5c0f\u9636\u6570\u884c\u5217\u5f0f\u5e94\u7528\u540c\u6837\u7684\u9012\u5f52\u51fd\u6570\u3002<\/li>\n<\/ul>\n<p><p>\u5728\u9012\u5f52\u8fc7\u7a0b\u4e2d\uff0c\u6ce8\u610f\u6d88\u9664\u884c\u548c\u5217\u901a\u5e38\u4f1a\u4f34\u968f\u7740\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u5b50\u77e9\u9635\uff0c\u5e76\u8ba1\u7b97\u5176\u884c\u5217\u5f0f\uff0c\u8fd9\u8981\u6c42\u5728\u6bcf\u6b21\u9012\u5f52\u65f6\u7ef4\u62a4\u77e9\u9635\u5143\u7d20\u7684\u6b63\u786e\u3002<\/p>\n<\/p>\n<p><h3>\u4e94\u3001\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u5b9e\u73b0<\/h3>\n<\/p>\n<p><p>\u5728\u7f16\u7a0b\u5b9e\u73b0\u4e2d\uff0c\u7ecf\u5e38\u4f1a\u4f9d\u8d56\u4e8c\u7ef4\u6570\u7ec4\u6765\u8868\u793a\u77e9\u9635\uff0c\u5e76\u7f16\u5199\u4e00\u4e2a\u9012\u5f52\u51fd\u6570\u6765\u5904\u7406\u3002<\/p>\n<\/p>\n<ol>\n<li><strong>\u5b9a\u4e49\u9012\u5f52\u51fd\u6570<\/strong>\uff1a\u8be5\u51fd\u6570\u63a5\u53d7\u4e00\u4e2a\u77e9\u9635\u548c\u5b83\u7684\u9636\u6570\u4f5c\u4e3a\u53c2\u6570\u3002<\/li>\n<li><strong>\u57fa\u7ebf\u6761\u4ef6\u7684\u5b9e\u73b0<\/strong>\uff1a\u68c0\u67e5\u77e9\u9635\u662f\u5426\u4e3a\u4e00\u9636\uff0c\u5982\u679c\u662f\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\u8be5\u5143\u7d20\u3002<\/li>\n<li><strong>\u9012\u5f52\u6761\u4ef6\u7684\u5b9e\u73b0<\/strong>\uff1a\u5982\u679c\u77e9\u9635\u9636\u6570\u5927\u4e8e\u4e00\uff0c\u904d\u5386\u9009\u62e9\u7684\u884c\u6216\u5217\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\uff0c\u6839\u636e\u8be5\u5143\u7d20\u751f\u6210\u4e00\u4e2a\u65b0\u7684\u5b50\u77e9\u9635\uff0c\u7136\u540e\u8c03\u7528\u9012\u5f52\u51fd\u6570\u8ba1\u7b97\u8fd9\u4e2a\u5b50\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u6700\u540e\u5c06\u7ed3\u679c\u6c47\u603b\u8d77\u6765\u5e76\u8fd4\u56de\u3002<\/li>\n<\/ol>\n<p><p>\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u4f2a\u4ee3\u7801\u793a\u4f8b\u8bf4\u660e\u4e86\u8fd9\u4e00\u8fc7\u7a0b\uff1a<\/p>\n<\/p>\n<p><pre><code>\u51fd\u6570 CalculateDeterminant(matrix, order):<\/p>\n<p>    \u5982\u679c order \u7b49\u4e8e 1:<\/p>\n<p>        \u8fd4\u56de matrix[0][0]<\/p>\n<p>    \u5426\u5219:<\/p>\n<p>        determinant = 0<\/p>\n<p>        \u5bf9\u4e8e\u6bcf\u4e2a i \u4ece 0 \u5230 order - 1:<\/p>\n<p>            childMatrix = CreateSubMatrix(matrix, 0, i, order)<\/p>\n<p>            determinant += (-1)^(0+i) * matrix[0][i] * CalculateDeterminant(childMatrix, order - 1)<\/p>\n<p>        \u8fd4\u56de determinant<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u516d\u3001\u9012\u5f52\u6cd5\u7684\u4f18\u5316<\/h3>\n<\/p>\n<p><p>\u9012\u5f52\u65b9\u6cd5\u7531\u4e8e\u5176\u9ad8\u65f6\u95f4\u590d\u6742\u5ea6\u5728\u8ba1\u7b97\u9ad8\u9636\u884c\u5217\u5f0f\u65f6\u5e76\u4e0d\u9ad8\u6548\uff0c\u4e3a\u6b64\u6709\u8bb8\u591a\u4f18\u5316\u624b\u6bb5\u88ab\u63d0\u51fa\uff0c\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\uff1a<\/p>\n<\/p>\n<ul>\n<li><strong>\u526a\u679d<\/strong>\uff1a\u5728\u9012\u5f52\u8fc7\u7a0b\u4e2d\uff0c\u5982\u679c\u53d1\u73b0\u67d0\u4e00\u884c\u6216\u5217\u5168\u4e3a\u96f6\uff0c\u53ef\u7acb\u5373\u8fd4\u56de\u96f6\uff0c\u4e0d\u518d\u7ee7\u7eed\u8ba1\u7b97\u3002<\/li>\n<li><strong>\u8bb0\u5fc6\u5316<\/strong>\uff1a\u5c06\u5df2\u7ecf\u8ba1\u7b97\u8fc7\u7684\u5b50\u884c\u5217\u5f0f\u7ed3\u679c\u5b58\u50a8\u8d77\u6765\uff0c\u907f\u514d\u91cd\u590d\u8ba1\u7b97\u3002<\/li>\n<\/ul>\n<p><h3>\u4e03\u3001\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7<strong>\u9012\u5f52\u6cd5<\/strong>\u8ba1\u7b97\u884c\u5217\u5f0f\u662f\u4e00\u4e2a\u4ece\u6982\u5ff5\u4e0a\u76f4\u89c2\u7406\u89e3\u884c\u5217\u5f0f\u5982\u4f55\u5c55\u5f00\u7684\u65b9\u6cd5\u3002\u5c55\u5f00\u8fc7\u7a0b\u4e2d\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u5c0f\u6b65\uff0c\u9012\u5f52\u5730\u5e94\u7528\u540c\u6837\u7684\u884c\u5217\u5f0f\u8ba1\u7b97\u539f\u7406\u77e5\u9053\u95ee\u9898\u88ab\u7b80\u5316\u5230\u53ef\u4ee5\u76f4\u63a5\u6c42\u89e3\u7684\u7a0b\u5ea6\u3002\u5c3d\u7ba1\u9012\u5f52\u6cd5\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u7531\u4e8e\u6548\u7387\u95ee\u9898\u5e76\u975e\u9996\u9009\uff0c\u4f46\u5b83\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5bf9\u884c\u5217\u5f0f\u7406\u89e3\u548c\u6559\u5b66\u4e0a\u5341\u5206\u5b9d\u8d35\u7684\u89c6\u89d2\u3002\u5728\u5b9e\u9645\u7f16\u7a0b\u5b9e\u73b0\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u7f16\u7a0b\u8bed\u8a00\u63d0\u4f9b\u7684\u6570\u636e\u7ed3\u6784\u548c\u9012\u5f52\u8c03\u7528\u673a\u5236\u6765\u5b8c\u6210\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u3002\u4e0d\u8fc7\uff0c\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u65f6\uff0c\u5e94\u5f53\u8003\u8651\u4f7f\u7528\u66f4\u9ad8\u6548\u7684\u7b97\u6cd5\uff0c\u6bd4\u5982<strong>\u9ad8\u65af\u6d88\u5143\u6cd5<\/strong>\u6216<strong>\u65af\u7279\u62c9\u68ee\u7b97\u6cd5<\/strong>\uff08Strassen algorithm\uff09\u7b49\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>\u95ee\u98981\uff1a<\/strong> \u9012\u5f52\u6cd5\u5982\u4f55\u5e94\u7528\u4e8e\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\uff1f<\/p>\n<p><strong>\u56de\u7b541\uff1a<\/strong> \u9012\u5f52\u6cd5\u53ef\u4ee5\u7528\u4e8e\u8ba1\u7b97\u884c\u5217\u5f0f\uff0c\u5176\u57fa\u672c\u601d\u60f3\u662f\u5c06\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u95ee\u9898\u9010\u6b65\u7b80\u5316\u4e3a\u66f4\u5c0f\u89c4\u6a21\u7684\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u95ee\u9898\u3002\u5177\u4f53\u6b65\u9aa4\u5982\u4e0b\uff1a\u9996\u5148\u9009\u62e9\u4e00\u4e2a\u884c\u6216\u5217\u4f5c\u4e3a\u5c55\u5f00\u57fa\u51c6\uff0c\u7136\u540e\u5c06\u5176\u4ed6\u884c\u6216\u5217\u6309\u4e00\u5b9a\u987a\u5e8f\u4f9d\u6b21\u5c55\u5f00\uff0c\u6bcf\u6b21\u5c55\u5f00\u65f6\u90fd\u4f1a\u5f97\u5230\u4e00\u4e2a\u6b21\u9636\u7684\u884c\u5217\u5f0f\u3002\u5982\u679c\u6b21\u9636\u884c\u5217\u5f0f\u7684\u9636\u6570\u4e3a1\uff0c\u76f4\u63a5\u8fd4\u56de\u5176\u4e2d\u7684\u5143\u7d20\uff1b\u5982\u679c\u6b21\u9636\u884c\u5217\u5f0f\u7684\u9636\u6570\u5927\u4e8e1\uff0c\u5219\u7ee7\u7eed\u9012\u5f52\u5730\u5e94\u7528\u76f8\u540c\u7684\u5c55\u5f00\u516c\u5f0f\uff0c\u76f4\u5230\u6700\u7ec8\u5f97\u5230\u9636\u6570\u4e3a1\u7684\u884c\u5217\u5f0f\u3002<\/p>\n<p><strong>\u95ee\u98982\uff1a<\/strong> \u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u5c55\u5f00\u57fa\u51c6\u6709\u54ea\u4e9b\u9009\u62e9\uff1f<\/p>\n<p><strong>\u56de\u7b542\uff1a<\/strong> \u5728\u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u65f6\uff0c\u5c55\u5f00\u57fa\u51c6\u53ef\u4ee5\u9009\u62e9\u884c\u6216\u5217\u3002\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u9009\u62e9\u884c\u5c55\u5f00\u6216\u5217\u5c55\u5f00\u90fd\u53ef\u4ee5\u5f97\u5230\u540c\u6837\u7684\u7ed3\u679c\u3002\u9009\u62e9\u5c55\u5f00\u57fa\u51c6\u7684\u4e00\u822c\u539f\u5219\u662f\u9009\u62e9\u6bd4\u8f83\u7b80\u5355\u7684\u884c\u6216\u5217\uff0c\u5373\u5176\u4e2d\u7684\u5143\u7d20\u6bd4\u8f83\u591a\u4e3a0\u6216\u4e3a1\u7684\u884c\u6216\u5217\u3002\u5177\u4f53\u9009\u62e9\u54ea\u4e00\u884c\u6216\u54ea\u4e00\u5217\u4f5c\u4e3a\u5c55\u5f00\u57fa\u51c6\uff0c\u5219\u53d6\u51b3\u4e8e\u5177\u4f53\u7684\u884c\u5217\u5f0f\u3002<\/p>\n<p><strong>\u95ee\u98983\uff1a<\/strong> \u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u4f18\u7f3a\u70b9\u662f\u4ec0\u4e48\uff1f<\/p>\n<p><strong>\u56de\u7b543\uff1a<\/strong> \u9012\u5f52\u6cd5\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u4f18\u70b9\u662f\u6613\u4e8e\u5b9e\u73b0\u548c\u7406\u89e3\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u5c0f\u89c4\u6a21\u7684\u884c\u5217\u5f0f\u3002\u901a\u8fc7\u9010\u6b65\u7b80\u5316\u95ee\u9898\u89c4\u6a21\uff0c\u9012\u5f52\u6cd5\u53ef\u4ee5\u6709\u6548\u5730\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002\u7136\u800c\uff0c\u9012\u5f52\u6cd5\u7684\u8ba1\u7b97\u65f6\u95f4\u590d\u6742\u5ea6\u8f83\u9ad8\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u5927\u89c4\u6a21\u7684\u884c\u5217\u5f0f\u800c\u8a00\uff0c\u9012\u5f52\u6cd5\u7684\u6548\u7387\u8f83\u4f4e\u3002\u6b64\u5916\uff0c\u9012\u5f52\u6cd5\u5bf9\u4e8e\u67d0\u4e9b\u7279\u6b8a\u7684\u884c\u5217\u5f0f\u53ef\u80fd\u65e0\u6cd5\u6709\u6548\u5e94\u7528\uff0c\u9700\u8981\u501f\u52a9\u5176\u4ed6\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u56e0\u6b64\uff0c\u5728\u5177\u4f53\u5e94\u7528\u65f6\u9700\u8981\u7efc\u5408\u8003\u8651\u884c\u5217\u5f0f\u7684\u89c4\u6a21\u548c\u7279\u6027\uff0c\u9009\u62e9\u5408\u9002\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u884c\u5217\u5f0f\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u8ba1\u7b97\uff0c\u800c\u9012\u5f52\u6cd5\u662f\u5176\u4e2d\u7684\u4e00\u79cd\u5b9e\u73b0\u65b9\u5f0f\u3002\u5b83\u57fa\u4e8e\u62c9\u666e\u62c9\u65af\u5c55\u5f00\u5c06\u884c\u5217\u5f0f\u4e0d\u65ad\u5206\u89e3\u4e3a\u8f83\u5c0f\u7684\u5b50 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