{"id":413317,"date":"2024-08-31T09:39:06","date_gmt":"2024-08-31T01:39:06","guid":{"rendered":"https:\/\/www.youtupa.com\/jiaotong\/413317.html"},"modified":"2024-08-31T19:33:42","modified_gmt":"2024-08-31T11:33:42","slug":"%e4%b8%be%e5%87%a0%e4%b8%aa%e8%b4%a8%e7%82%b9%e7%9a%84%e4%be%8b%e5%ad%90%ef%bc%9f-%e4%b8%be%e5%87%a0%e4%b8%aa%e5%b9%b3%e7%a7%bb%e7%9a%84%e4%be%8b%e5%ad%90%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.youtupa.com\/jiaotong\/413317.html","title":{"rendered":"\u4e3e\u51e0\u4e2a\u8d28\u70b9\u7684\u4f8b\u5b50\uff1f \u4e3e\u51e0\u4e2a\u5e73\u79fb\u7684\u4f8b\u5b50\uff1f"},"content":{"rendered":"<figure class=\"wp-block-image size-full aligncenter\"><img loading=\"lazy\" width=\"480\" height=\"300\" src=\"https:\/\/www.youtupa.com\/wp-content\/uploads\/2024\/08\/3af80b21854a1632457e9affa873ee02.png\" class=\"attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\u4e3e\u51e0\u4e2a\u8d28\u70b9\u7684\u4f8b\u5b50\uff1f \u4e3e\u51e0\u4e2a\u5e73\u79fb\u7684\u4f8b\u5b50\uff1f\" title=\"\u4e3e\u51e0\u4e2a\u8d28\u70b9\u7684\u4f8b\u5b50\uff1f \u4e3e\u51e0\u4e2a\u5e73\u79fb\u7684\u4f8b\u5b50\uff1f\u7f29\u7565\u56fe\" \/><\/figure>\n<p> \u4e00\u3001\u4e3e\u51e0\u4e2a\u8d28\u70b9\u7684\u4f8b\u5b50\uff1f\u8d28\u70b9\u7684\u610f\u601d\uff1a\u7528\u6765\u4ee3\u66ff\u7269\u4f53\u7684\u6709\u8d28\u91cf\u7684\u70b9\u53eb\u505a\u8d28\u70b9\u3002\u5373\u6ca1\u6709\u5f62\u72b6\u3001\u5927\u5c0f\u3001\u4f53\u79ef\u800c\u5177\u6709\u8d28\u91cf\u7684\u4e00\u4e2a\u70b9\uff0c\u8d28\u70b9\u5177\u6709\u7269\u4f53\u7684\u5168\u90e8\u8d28\u91cf\u3002\u8d28\u70b9\u662f\u4eba\u4eec\u4e3a\u4e86\u4f7f\u5b9e\u9645\u95ee\u9898\u7b80\u5316\u800c\u5f15 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2<\/p>\n<p>5.<\/p>\n<p>\u6c7d\u8f66\u5728\u5e73\u76f4\u7684\u516c\u8def\u4e0a\u8d70\uff0c\u6574\u4e2a\u8f66\u5728\u5e73\u79fb\u3002<\/p>\n<p>6.<\/p>\n<p>\u6025\u5239\u8f66\u4e2d\u6c7d\u8f66\u5728\u8def\u9762\u4e0a\u7684\u6ed1\u52a8\u3002<\/p>\n<p>7.<\/p>\n<p>\u5347\u65d7\u6746\u4e0a\u7684\u65d7\u3002<\/p>\n<p>8.<\/p>\n<p>\u7535\u68af\u4e0a\u7684\u4eba\u3002<\/p>\n<h2>\u4e09\u3001\u4e3e\u51e0\u4e2a\u79cd\u7fa4\u7684\u4f8b\u5b50\uff1f<\/h2>\n<p>\u79cd\u7fa4\uff1a\u5728\u4e00\u5b9a\u81ea\u7136\u533a\u57df\u5185\uff0c\u540c\u79cd\u751f\u7269\u7684\u6240\u6709\u4e2a\u4f53\u3002<\/p>\n<p>\u4f8b\u5982\u4e00\u7247\u6c60\u5858\u91cc\u6240\u6709\u7684\u9cab\u9c7c\u662f\u79cd\u7fa4\uff1b\u800c\u4e00\u7247\u6c60\u5858\u91cc\u6240\u6709\u7684\u9c7c\u5c31\u4e0d\u662f\u79cd\u7fa4\uff0c\u4e5f\u4e0d\u662f\u7fa4\u843d\u3002<\/p>\n<p>\u53c8\u6bd4\u5982\uff1a\u4e00\u7247\u8349\u5730\u4e0a\u6240\u6709\u7684\u5c71\u7f8a\u662f\u79cd\u7fa4\uff0c\u4e00\u7247\u8349\u5730\u4e0a\u6240\u6709\u7684\u7f8a\u5c31\u4e0d\u662f\u79cd\u7fa4\uff0c\u7f8a\u4e5f\u53ef\u4ee5\u662f\u7ef5\u7f8a\u4e4b\u7c7b\u7684\uff0c\u4e0d\u5c5e\u4e8e\u540c\u4e00\u79cd\u751f\u7269\u3002<\/p>\n<h2>\u56db\u3001\u4e3e\u65f6\u95f4\u6709\u9650\u7684\u4f8b\u5b50\uff1f<\/h2>\n<p>\u7684\u3002\u4ed6\u7684\u6210\u529f\uff0c\u5e94\u8be5\u5f52\u529f\u4e8e\u6bcd\u4eb2\u81ea\u5c0f\u5bf9\u4ed6\u7684\u8c05\u89e3\u4e0e\u8010\u5fc3\u7684\u6559\u5bfc\uff0c\u624d\u4f7f\u539f\u6765\u88ab\u4eba\u8ba4\u4e3a\u662f\u4f4e\u80fd\u513f\u7684\u7231\u8fea\u751f\uff0c\u957f\u5927\u540e\u6210\u4e3a\u4e3e\u4e16\u95fb\u540d\u7684\u201c\u53d1\u660e\u5927\u738b\u201d\u3002<\/p>\n<p>\u7231\u8fea\u751f\u4ece\u5c0f\u5c31\u5bf9\u5f88\u591a\u4e8b\u7269\u611f\u5230\u597d\u5947\uff0c\u800c\u4e14\u559c\u6b22\u4eb2\u81ea\u53bb\u8bd5\u9a8c\u4e00\u4e0b\uff0c\u76f4\u5230\u660e\u767d\u4e86\u5176\u4e2d\u7684\u9053\u7406\u4e3a\u6b62\u3002\u957f\u5927\u4ee5\u540e\uff0c\u4ed6\u5c31\u6839\u636e\u81ea\u5df1\u8fd9\u65b9\u9762\u7684\u5174\u8da3\uff0c\u4e00\u5fc3\u4e00\u610f\u505a\u7814\u7a76\u548c\u53d1\u660e\u7684\u5de5\u4f5c\u3002\u4ed6\u5728\u65b0\u6cfd\u897f\u5dde\u5efa\u7acb\u4e86\u4e00\u4e2a\u5b9e\u9a8c\u5ba4\uff0c\u4e00\u751f\u5171\u53d1\u660e\u4e86\u7535\u706f\u3001\u7535\u62a5\u673a\u3001\u7559\u58f0\u673a\u3001\u7535\u5f71\u673a\u3001\u78c1\u529b\u6790\u77ff\u673a\u3001\u538b\u788e\u673a\u7b49\u7b49\u603b\u8ba1\u4e24\u5343\u4f59\u79cd\u4e1c\u897f\u3002\u7231\u8fea\u751f\u7684\u5f3a\u70c8\u7814\u7a76\u7cbe\u795e\uff0c\u4f7f\u4ed6\u5bf9\u6539\u8fdb\u4eba\u7c7b\u7684\u751f\u6d3b\u65b9\u5f0f\u3002<\/p>\n<h2>\u4e94\u3001\u529d\u5b66\u4e3e\u9a6c\u7684\u4f8b\u5b50\uff1f<\/h2>\n<p>\u9a90\u9aa5\u4e00\u8dc3\uff0c\u4e0d\u80fd\u5341\u6b65\uff1b\u9a7d\u9a6c\u5341\u9a7e\uff0c\u529f\u5728\u4e0d\u820d\u3002<\/p>\n<h2>\u516d\u3001\u4e3e\u51e0\u4e2a\u89c1\u8d24\u601d\u9f50\u7684\u4f8b\u5b50\uff1f<\/h2>\n<p>\u5b5f\u6bcd\u4e09\u8fc1\u7684\u6545\u4e8b\u3002<\/p>\n<p>\u5b5f\u5b50(\u524d372\u5e74-\u524d289\u5e74)\uff0c\u540d\u8f72\uff0c\u662f\u6218\u56fd\u65f6\u671f\u8d6b\u8d6b\u6709\u540d\u7684\u6559\u80b2\u5bb6\u3001\u601d\u60f3\u5bb6\u3002\u4ed6\u5e74\u5e7c\u65f6\u4e27\u7236\uff0c\u5176\u6bcd\u4e0d\u518d\u5ac1\u4eb2\u624b\u5c06\u4ed6\u629a\u517b\u6210\u4eba\u3002<\/p>\n<p>\u5b5f\u6bcd\u662f\u4e2a\u975e\u5e38\u91cd\u89c6\u5b50\u5973\u6559\u80b2\u7684\u5973\u4eba\uff0c\u5b5f\u5bb6\u4f4f\u5728\u4e00\u5757\u5893\u5730\u7684\u9644\u8fd1\uff0c\u9001\u846c\u7684\u961f\u4f0d\u9694\u4e09\u5dee\u4e94\u4ece\u4ed6\u5bb6\u95e8\u524d\u8d70\u8fc7\u3002\u5b5f\u5b50\u5c31\u548c\u90bb\u5c45\u7684\u5b69\u5b50\u6a21\u4eff\u961f\u4f0d\u4e2d\u8dea\u62dc\u3001\u54ed\u568e\u7684\u6837\u5b50\uff0c\u8fd8\u5230\u5893\u5730\u4e0a\u73a9\u6b7b\u4eba\u4e0b\u846c\u7684\u6e38\u620f\u3002\u65f6\u95f4\u957f\u4e86\u5b5f\u6bcd\u5fe7\u5fc3\u5fe1\u5fe1\uff0c\u5979\u89c9\u5f97\u8fd9\u6837\u7684\u73af\u5883\u4e0d\u5229\u4e8e\u4ed6\u8bfb\u4e66\uff0c\u4fbf\u628a\u5bb6\u8fc1\u5230\u4e86\u57ce\u91cc\u5e02\u96c6\u65c1\u8fb9\u3002<\/p>\n<p>\u5b5f\u6bcd\u4f4f\u5230\u57ce\u91cc\u540e\uff0c\u53d1\u73b0\u8fd9\u91cc\u5730\u5904\u95f9\u5e02\uff0c\u6253\u94c1\u58f0\u3001\u53eb\u5356\u58f0\u4e0d\u7edd\u4e8e\u8033\u3002\u6ca1\u591a\u4e45\uff0c\u5b5f\u5b50\u53c8\u9759\u4e0d\u4e0b\u5fc3\u6765\u4e86\uff0c\u770b\u4e66\u65f6\u603b\u662f\u4e1c\u5f20\u897f\u671b\uff0c\u8fd8\u548c\u90bb\u5c45\u7684\u5c0f\u5b69\uff0c\u5b66\u8d77\u5546\u4eba\u505a\u751f\u610f\u7684\u6837\u5b50\uff0c\u4e00\u4f1a\u513f\u97a0\u8eac\u6b22\u8fce\u5ba2\u4eba\u3001\u4e00\u4f1a\u513f\u62db\u5f85\u5ba2\u4eba\u3001\u4e00\u4f1a\u513f\u548c\u5ba2\u4eba\u8ba8\u4ef7\u8fd8\u4ef7\uff0c\u8868\u6f14\u5f97\u50cf\u6781\u4e86\u3002<\/p>\n<p>\u5b5f\u6bcd\u89c1\u4e86\u5fc3\u70e6\u610f\u4e71\uff0c\u4fbf\u518d\u6b21\u642c\u8fc1\uff0c\u8fd9\u4e00\u6b21\u7531\u4e8e\u6709\u4e86\u524d\u4e24\u6b21\u7684\u524d\u8f66\u4e4b\u9274\uff0c\u5979\u628a\u5bb6\u642c\u5230\u57ce\u4e1c\u7684\u5b66\u5bab\u5bf9\u9762\u3002\u8fd9\u91cc\u7684\u73af\u5883\u5f88\u597d\uff0c\u4e66\u58f0\u7405\u7405\uff0c\u7ec8\u4e8e\u5b5f\u5b50\u5f00\u59cb\u9759\u4e0b\u6765\u4e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a, n\uff0c\u5982\u679c\u6709 ax \u2261 1(mod n)\uff0c\u5219\u79f0 x \u7684\u6700\u5c0f\u6b63\u6574\u6570\u89e3\u4e3a a \u6a21 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