{"id":28246,"date":"2021-04-09T13:00:09","date_gmt":"2021-04-09T13:00:09","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28246"},"modified":"2024-09-03T21:04:26","modified_gmt":"2024-09-03T21:04:26","slug":"%e5%bd%92%e7%ba%b3%e8%af%81%e6%98%8e%ef%bc%9a%e5%be%b7%e6%91%a9%e6%a0%b9%e5%ae%9a%e5%be%8b%e4%b8%8e%e5%88%86%e9%85%8d%e5%be%8b%e7%9a%84%e5%b9%bf%e4%b9%89%e8%a7%84%e5%88%99-2","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%bd%92%e7%ba%b3%e8%af%81%e6%98%8e%ef%bc%9a%e5%be%b7%e6%91%a9%e6%a0%b9%e5%ae%9a%e5%be%8b%e4%b8%8e%e5%88%86%e9%85%8d%e5%be%8b%e7%9a%84%e5%b9%bf%e4%b9%89%e8%a7%84%e5%88%99-2\/","title":{"rendered":"\u5f52\u7eb3\u8bc1\u660e\uff1a\u5fb7\u6469\u6839\u5b9a\u5f8b\u4e0e\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u89c4\u5219"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5f52\u7eb3\u8bc1\u660e\uff1a\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u89c4\u5219<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6458\u8981<\/strong><br \/><em>\u672c\u8bfe\u7a0b\u8ba8\u8bba\u4e86\u6570\u5b66\u548c\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5f52\u7eb3\u8bc1\u660e\u4e3b\u9898\u3002\u6211\u4eec\u89e3\u91ca\u4e86\u4e24\u79cd\u73b0\u6709\u7684\u8bc1\u660e\u7c7b\u578b\uff1a\u57fa\u4e8e\u903b\u8f91\u89c4\u5219\u7684\u5185\u90e8\u6216\u6f14\u7ece\u8bc1\u660e\uff0c\u4ee5\u53ca\u7528\u4e8e\u8bc1\u660e\u5173\u4e8e\u903b\u8f91\u672c\u8eab\u7684\u9648\u8ff0\u7684\u5916\u90e8\u6216\u5143\u6570\u5b66\u8bc1\u660e\u3002\u4ecb\u7ecd\u4e86\u6570\u5b66\u5f52\u7eb3\u6cd5\u4f5c\u4e3a\u4e00\u79cd\u8bc1\u660e\u65b9\u6cd5\uff0c\u5b83\u53ef\u4ee5\u7528\u6765\u8bc1\u660e\u67d0\u4e9b\u9648\u8ff0\u5bf9\u6240\u6709\u81ea\u7136\u6570\u90fd\u6210\u7acb\u3002\u8bfe\u7a0b\u5c55\u793a\u4e86\u4e00\u4e2a\u5e26\u6709\u76f8\u5e94\u8bc1\u660e\u7684\u793a\u4f8b\uff0c\u5e76\u89e3\u91ca\u4e86\u547d\u9898\u903b\u8f91\u4e2d\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f\u53ca\u5176\u5f52\u7eb3\u8bc1\u660e\u3002\u8fd9\u8282\u8bfe\u5bf9\u4e8e\u7406\u89e3\u6570\u5b66\u548c\u903b\u8f91\u7684\u57fa\u7840\u77e5\u8bc6\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u4e0d\u540c\u9886\u57df\u81f3\u5173\u91cd\u8981\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a\n<\/p>\n<ol>\n<li><strong>\u8bc6\u522b<\/strong>\u4e24\u79cd\u9700\u8981\u533a\u5206\u7684\u8bc1\u660e\u7c7b\u578b\uff1a\u5185\u90e8\u6216\u6f14\u7ece\u8bc1\u660e\u548c\u5916\u90e8\u6216\u5143\u6570\u5b66\u8bc1\u660e\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u6570\u5b66\u5f52\u7eb3\u6cd5\u5bf9\u81ea\u7136\u6570\u548c\u547d\u9898\u903b\u8f91\u8fdb\u884c\u8bc1\u660e\u3002<\/li>\n<li><strong>\u4f7f\u7528<\/strong>\u5408\u53d6\u4e0e\u6790\u53d6\u7b26\u53f7\u6765\u4e66\u5199\u547d\u9898\u903b\u8f91\u8868\u8fbe\u5f0f\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong>\u547d\u9898\u903b\u8f91\u4e2d\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong>\u5f52\u7eb3\u5047\u8bbe\u7684\u6982\u5ff5\u53ca\u5176\u5728\u5f52\u7eb3\u8bc1\u660e\u4e2d\u7684\u4f5c\u7528\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u5185\u90e8\u4e0e\u5916\u90e8\u8bc1\u660e<\/a><br \/>\n<a href=\"#2\">\u6570\u5b66\u5f52\u7eb3\u6cd5\u8bc1\u660e<\/a><br \/>\n<a href=\"#3\">\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5f52\u7eb3\u8bc1\u660e<\/a><br \/>\n<a href=\"#4\">\u5fb7\u6469\u6839\u5b9a\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f<\/a><br \/>\n<a href=\"#5\">\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/eJQcNPrKyW0\" title=\"YouTube\u89c6\u9891\u64ad\u653e\u5668\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5185\u90e8\u4e0e\u5916\u90e8\u8bc1\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=212s\" target=\"_blank\" rel=\"noopener\"><strong>\u6709\u4e24\u79cd\u9700\u8981\u533a\u5206\u7684\u8bc1\u660e\u7c7b\u578b\u3002<\/strong><\/a>\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u4e86\u8bb8\u591a\u5f62\u5f0f\u8bc1\u660e\u7684\u4f8b\u5b50\u3002\u8fd9\u79cd\u7c7b\u578b\u7684\u8bc1\u660e\u6765\u81ea\u4e8e\u903b\u8f91\u89c4\u5219\u3002\u8fd9\u6837\u7684\u8bc1\u660e\u88ab\u79f0\u4e3a\u00bb\u903b\u8f91\u5185\u90e8\u00bb\u53d1\u751f\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u4e5f\u79f0\u4e4b\u4e3a\u00bb\u5185\u90e8\u8bc1\u660e\u00bb\u6216\u6f14\u7ece\u8bc1\u660e\u3002\u8fd9\u79cd\u5f62\u5f0f\u7684\u8bc1\u660e\u5177\u6709\u6709\u9650\u7684\u7126\u70b9\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ea\u80fd\u7528\u4e8e\u8bc1\u660e\u53ef\u4ee5\u7528\u903b\u8f91\u8bed\u8a00\u8868\u8fbe\u7684\u9648\u8ff0\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u80fd\u60f3\u8981\u8bc1\u660e\u4e00\u4e9b\u5173\u4e8e\u903b\u8f91\u672c\u8eab\u7684\u4e1c\u897f\u3002\u6211\u4eec\u53ef\u80fd\u60f3\u8981\u8bc1\u660e\u547d\u9898\u903b\u8f91\u7684\u6240\u6709\u9648\u8ff0\u90fd\u5177\u6709\u67d0\u79cd\u6027\u8d28\u3002\u8fd9\u4e9b\u5173\u4e8e\u903b\u8f91\u672c\u8eab\u7684\u9648\u8ff0\u65e2\u4e0d\u80fd\u5728\u903b\u8f91\u5185\u90e8\u88ab\u5efa\u7acb\u4e5f\u4e0d\u80fd\u88ab\u8bc1\u660e\u3002\u4e3a\u4e86\u8bc1\u660e\u8fd9\u4e9b\u9648\u8ff0\uff0c\u6211\u4eec\u4f7f\u7528\u5916\u90e8\u8bc1\u660e\u3002\u5916\u90e8\u8bc1\u660e\u6709\u65f6\u88ab\u79f0\u4e3a\u00bb\u5143\u6570\u5b66\u00bb\uff0c\u6211\u4eec\u5df2\u7ecf\u9047\u5230\u8fc7\u8fd9\u79cd\u60c5\u51b5\uff0c\u6bd4\u5982\u5f53\u6211\u4eec\u770b\u5230(\u5143)\u6f14\u7ece\u5b9a\u7406\u65f6\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u5f52\u7eb3\u8bc1\u660e\u7684\u80cc\u666f\u8fdb\u884c\u8bf4\u660e\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u6570\u5b66\u5f52\u7eb3\u6cd5\u8bc1\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=359s\" target=\"_blank\" rel=\"noopener\"><strong>\u6570\u5b66\u5f52\u7eb3\u6cd5\u662f\u4e00\u79cd\u8bc1\u660e\u65b9\u6cd5<\/strong><\/a>\uff0c\u5b83\u5141\u8bb8\u6211\u4eec\u8bc1\u660e\u67d0\u4e9b\u9648\u8ff0\u5bf9\u6240\u6709\u81ea\u7136\u6570\u90fd\u6210\u7acb\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u793a\u4f8b\uff1a<\/strong><br \/>\n\u53ef\u4ee5\u8bc1\u660e\u5f62\u5982<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^n - 4^n<\/span><\/span>\u7684\u6bcf\u4e00\u4e2a\u6570\uff0c\u5176\u4e2d<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u4e3a\u4efb\u610f\u81ea\u7136\u6570\uff0c\u603b\u662f\u53ef\u4ee5\u88ab7\u6574\u9664\u3002<br \/>\n<strong>\u8bc1\u660e\uff1a<\/strong>\u5982\u679c\u6211\u4eec\u89c2\u5bdf<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1<\/span><\/span>\u7684\u60c5\u51b5\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^1 - 4^1 = 7<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u663e\u7136\uff0c\u8fd9\u662f\u53ef\u4ee5\u88ab7\u6574\u9664\u7684\u3002<\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\u5047\u8bbe<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^n - 4^n<\/span><\/span>\u53ef\u4ee5\u88ab\u67d0\u4e2a<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k<\/span><\/span>\u6574\u9664\u3002\u4ece\u8fd9\u91cc\u6211\u4eec\u5c06\u8bc1\u660e\u8be5\u8868\u8fbe\u5f0f\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k+1<\/span><\/span>\u4e5f\u6210\u7acb\u3002\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u8fdb\u884c\u8bc1\u660e\uff1a<\/p>\n<table\">\n<tbody>\n<tr>\n<td style=\"text-align: right;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^{k+1} - 4^{k+1}<\/span><\/span><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - 4 \\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - (11-7) \\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - 11 \\cdot 4^{k} + 7\\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 ( 11^{k} - 4^{k} ) + 7\\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u5982\u679c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^k - 4^k<\/span><\/span>\u53ef\u4ee5\u88ab7\u6574\u9664\uff0c\u90a3\u4e48<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11 ( 11^{k} - 4^{k} ) + 7\\cdot 4^{k}<\/span><\/span>\u4e5f\u53ef\u4ee5\u88ab7\u6574\u9664\uff0c\u8fd9\u4e5f\u5c31\u662f\u8bf4<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^{k+1} - 4^{k+1}<\/span><\/span>\u53ef\u4ee5\u88ab7\u6574\u9664\u3002\u56e0\u6b64\uff0c\u5982\u679c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^k - 4^k<\/span><\/span>\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=1<\/span><\/span>\u6210\u7acb\uff0c\u90a3\u4e48\u5b83\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=2, k=3, k=4,\\cdots<\/span><\/span>\u7b49\u4e5f\u6210\u7acb\uff0c\u5e76\u4e14\u5bf9\u4e8e\u4efb\u4f55<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\in\\mathbb{N}<\/span><\/span>\u90fd\u6210\u7acb\u3002\u5f53\u8fd9\u79cd\u60c5\u51b5\u53d1\u751f\u65f6\uff0c\u6211\u4eec\u79f0\u5f52\u7eb3\u662f\u5b8c\u6574\u7684\u3002 \u25a0<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5f52\u7eb3\u8bc1\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=775s\" target=\"_blank\" rel=\"noopener\"><strong>\u5728\u63a5\u4e0b\u6765\u8981\u8fdb\u884c\u7684\u5f52\u7eb3\u8bc1\u660e\u4e2d\uff0c<\/strong><\/a>\u9996\u5148\u9700\u8981\u5f15\u5165\u4ee5\u4e0b\u7b26\u53f7\u7ea6\u5b9a\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u7b26\u53f7\uff1a <\/strong>\u8bbe<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1,\\cdots, F_n<\/span><\/span>\u4e3a\u547d\u9898\u903b\u8f91\u4e2d\u7684\u4efb\u610f\u6709\u9650\u8868\u8fbe\u5f0f\u96c6\u5408\u3002\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u5f15\u5165\u8fd9\u4e9b\u8868\u8fbe\u5f0f\u7684\u5408\u53d6\u4e0e\u6790\u53d6\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\bigwedge_{i=1}^n F_i := F_1\\wedge \\cdots \\wedge F_n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\bigvee_{i=1}^n F_i := F_1\\vee \\cdots \\vee F_n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u6709\u4e86\u8fd9\u4e9b\u7b26\u53f7\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5904\u7406\u4ee5\u4e0b\u4e24\u79cd\u5e7f\u4e49\u5f62\u5f0f\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u5fb7\u6469\u6839\u5b9a\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=829s\" target=\"_blank\" rel=\"noopener\"><strong>\u5bf9\u4e8e\u547d\u9898\u903b\u8f91\u4e2d\u7684\u4efb\u610f\u6709\u9650\u8868\u8fbe\u5f0f\u96c6\u5408<\/strong><\/a><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1,\\cdots, F_n,<\/span><\/span>\u603b\u662f\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u6027\u8d28\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\neg\\left(\\bigwedge_{i=1}^n F_i \\right) \\equiv \\left( \\bigvee_{i=1}^n \\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\neg\\left(\\bigvee_{i=1}^n F_i \\right) \\equiv \\left( \\bigwedge_{i=1}^n \\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><strong>\u8bc1\u660e\uff1a<\/strong>\u9996\u5148\u6211\u4eec\u901a\u8fc7\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u8fdb\u884c\u5f52\u7eb3\u6765\u8bc1\u660e<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg\\left(\\bigwedge_{i=1}^n F_i \\right) \\equiv \\left( \\bigvee_{i=1}^n \\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u9996\u5148\u6211\u4eec\u9700\u8981\u68c0\u67e5\u521d\u59cb\u60c5\u51b5<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1.<\/span><\/span>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u663e\u7136<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F_1 \\equiv \\neg\\left(\\bigwedge_{i=1}^1F_i\\right)\\equiv \\left(\\bigvee_{i=1}^n \\neg F_i \\right) \\equiv\\neg F_1<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\u5047\u8bbe\u8be5\u6027\u8d28\u5bf9\u67d0\u4e2a<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k;<\/span><\/span>\u6210\u7acb\uff0c\u5373\u5bf9\u4e8e\u4efb\u610f\u6709\u9650\u8868\u8fbe\u5f0f\u96c6\u5408<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1, F_2, \\cdots, F_k<\/span><\/span>\u6210\u7acb\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^k F_i\\right) \\equiv \\left(\\bigvee_{i=1}^k \\neg F_i\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify\">\u7136\u540e\u6211\u4eec\u5c06\u8bc1\u660e\u8fd9\u4e00\u6027\u8d28\u5bf9<\/p>\n<p style=\"text-align: justify\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right) \\equiv \\left(\\bigvee_{i=1}^{k+1} \\neg F_i\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify\">\u5229\u7528\u5408\u53d6\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right) := \\neg\\left[\\left(\\bigwedge_{i=1}^{k} F_i\\right) \\wedge F_{k+1}\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u5bf9\u4e8e\u8be5\u8868\u8fbe\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u5fb7\u6469\u6839\u5b9a\u5f8b\uff08\u901a\u5e38\u7528\u4e8e\u4e24\u4e2a\u9879\uff09\u4ee5\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right)\\equiv \\left[\\neg\\left(\\bigwedge_{i=1}^{k} F_i\\right) \\vee \\neg F_{k+1}\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\uff0c\u5982\u679c\u5e94\u7528\u5f52\u7eb3\u5047\u8bbe\uff0c\u6211\u4eec\u5c06\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right)\\equiv \\left[ \\left(\\bigvee_{i=1}^k \\neg F_i\\right) \\vee \\neg F_{k+1}\\right] := \\left(\\bigvee_{i=1}^{k+1}\\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u5f52\u7eb3\u8bc1\u660e\u5b8c\u6210\uff0c\u8be5\u6027\u8d28\u5bf9\u6240\u6709<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u666e\u904d\u6210\u7acb\u3002\u7b2c\u4e8c\u4e2a\u5173\u7cfb\u53ef\u4ee5\u901a\u8fc7\u5b8c\u5168\u7c7b\u4f3c\u7684\u65b9\u5f0f\u83b7\u5f97\uff0c\u56e0\u6b64\u6211\u5c06\u5176\u7559\u4f5c\u8bfb\u8005\u7684\u7ec3\u4e60\uff0c\u54c8\u54c8\uff01<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=1205s\" target=\"_blank\" rel=\"noopener\"><strong>\u7c7b\u4f3c\u4e8e\u5fb7\u6469\u6839\u5b9a\u5f8b<\/strong><\/a>\uff0c\u5206\u914d\u5f8b\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u8fdb\u884c\u5e7f\u4e49\u5316\u3002\u8bbe<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{F_1, \\cdots, F_n\\}<\/span><\/span>\u548c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{G_1,\\cdots, G_m\\}<\/span><\/span>\u4e3a\u4efb\u610f\u6709\u9650\u8868\u8fbe\u5f0f\u7684\u4e24\u4e2a\u96c6\u5408\uff0c\u5219\u6709\u4ee5\u4e0b\u7b49\u4ef7\u5173\u7cfb\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^m(F_i\\vee G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigvee_{i=1}^n F_i \\right) \\wedge \\left(\\bigvee_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigvee_{i=1}^n\\left(\\bigvee_{j=1}^m(F_i\\wedge G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><strong>\u8bc1\u660e\uff1a<\/strong>\u8981\u6784\u5efa\u8fd9\u4e2a\u8bc1\u660e\uff0c\u6211\u4eec\u9700\u8981\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u548c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span>\u8fdb\u884c\u53cc\u91cd\u5f52\u7eb3\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u9996\u5148\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u8fdb\u884c\u5f52\u7eb3\uff0c\u7136\u540e\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span>\u8fdb\u884c\u5f52\u7eb3\uff0c\u4ee5\u8bc1\u660e\u8868\u8fbe\u5f0f<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^m(F_i\\vee G_j) \\right) \\right]<\/span><\/span>\u3002<\/p>\n<p style=\"text-align: justify;\">\u5982\u679c\u6211\u4eec\u53d6<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=1,<\/span><\/span>\u90a3\u4e48\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u53ef\u4ee5\u5199\u6210<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^1 G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^1(F_i\\vee G_j) \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u8fd9\u5b9e\u9645\u4e0a\u7b49\u540c\u4e8e\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left( F_i\\vee G_1 \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\uff0c\u6211\u4eec\u5c06\u8bc1\u660e\u8be5\u8868\u8fbe\u5f0f\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u7684\u5f52\u7eb3\u3002<\/p>\n<p style=\"text-align: justify;\">\u5982\u679c\u6211\u4eec\u53d6<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1,<\/span><\/span>\u90a3\u4e48\u8be5\u8868\u8fbe\u5f0f\u7b80\u5316\u4e3a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1 \\vee G_1 \\equiv F_1 \\vee G_1.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u8fd9\u4e00\u70b9\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\u662f\u6b63\u786e\u7684\u3002\u73b0\u5728\u5047\u8bbe\u5b83\u5bf9\u4efb\u610f<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k<\/span><\/span>\u6210\u7acb\uff1b\u4e5f\u5c31\u662f\u8bf4\uff0c\u5f52\u7eb3\u5047\u8bbe\u4e3a\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^k F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\bigwedge_{i=1}^k\\left( F_i\\vee G_1 \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u90a3\u4e48\uff0c\u4ece\u6b64\u51fa\u53d1\u6211\u4eec\u5c06\u8bc1\u660e\u8be5\u8868\u8fbe\u5f0f\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k+1.<\/span><\/span>\u4e5f\u6210\u7acb\u3002<\/p>\n<p style=\"text-align: justify;\">\u6839\u636e\u5408\u53d6\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] := \\left[\\left(\\left(\\bigwedge_{i=1}^{k}F_i \\right)\\wedge F_{k+1} \\right) \\vee G_1 \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\uff0c\u4f7f\u7528<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u5206\u914d\u5f8b\uff0c\u6211\u4eec\u5c06\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\left(\\left(\\bigwedge_{i=1}^{k}F_i \\right)\\vee G_{1} \\right) \\wedge \\left(F_{k+1} \\vee G_1 \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u5728\u8fd9\u4e2a\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5f52\u7eb3\u5047\u8bbe\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\left(\\bigwedge_{i=1}^k\\left( F_i\\vee G_1 \\right) \\right) \\wedge \\left(F_{k+1} \\vee G_1 \\right) \\right] := \\left[\\bigwedge_{i=1}^{k+1}(F_{i}\\vee G_1 \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u6211\u4eec\u901a\u8fc7\u5f52\u7eb3\u6cd5\u8bc1\u660e\u4e86\u5bf9\u6240\u6709<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\in\\mathbb{N}<\/span><\/span>\u6210\u7acb<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right)\\vee G_1\\right] \\equiv \\left[\\bigwedge_{i=1}^n(F_i\\vee G_1)\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u5b8c\u6210\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u7684\u5f52\u7eb3\u540e\uff0c\u6211\u4eec\u5df2\u7ecf\u9a8c\u8bc1\u4e86\u521d\u59cb\u60c5\u51b5\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=1<\/span><\/span>\u6210\u7acb\uff0c\u73b0\u5728\u6211\u4eec\u53ea\u9700\u5b8c\u6210\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span>\u7684\u5f52\u7eb3\u3002\u4e3a\u4e86\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u4e3a\u67d0\u4e2a<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=l<\/span><\/span>\u8bbe\u5b9a\u5f52\u7eb3\u5047\u8bbe\uff0c\u5373\u6210\u7acb<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^l G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u7136\u540e\u6211\u4eec\u5c06\u8bc1\u660e\u5b83\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=l+1.<\/span><\/span>\u4e5f\u6210\u7acb\u3002<\/p>\n<p style=\"text-align: justify;\">\u5982\u5f80\u5e38\u4e00\u6837\uff0c\u4ece\u5408\u53d6\u7684\u5b9a\u4e49\u51fa\u53d1\uff0c\u6211\u4eec\u5f97\u5230<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] := \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\left(\\bigwedge_{j=1}^{l} G_j \\right) \\wedge G_{l+1}\\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\uff0c\u4f7f\u7528<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u5206\u914d\u5f8b\u6211\u4eec\u5f97\u5230<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\left( \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left( \\bigwedge_{j=1}^l G_j \\right) \\right) \\wedge \\left( \\left( \\bigwedge_{i=1}^n F_i \\right)\\vee G_{l+1} \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u5229\u7528\u5f52\u7eb3\u5047\u8bbe\u53ef\u4ee5\u5199\u4e3a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\wedge \\left( \\left( \\bigwedge_{i=1}^n F_i \\right)\\vee G_{l+1} \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\uff0c\u5982\u679c\u6211\u4eec\u5229\u7528\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>\u7684\u5f52\u7eb3\u7ed3\u679c<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\wedge \\left( \\bigwedge_{i=1}^n (F_i \\vee G_{l+1} )\\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u6700\u540e\uff0c\u6839\u636e\u5408\u53d6\u7684\u5b9a\u4e49\u6211\u4eec\u5f97\u5230<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^{l+1}(F_i\\vee G_j) \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u5bf9<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span>\u7684\u5f52\u7eb3\u5b8c\u6210\uff0c\u8be5\u8868\u8fbe\u5f0f<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{m} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^{m}(F_i\\vee G_j) \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u5bf9\u6240\u6709<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n,m\\in\\mathbb{N}<\/span><\/span>\u90fd\u6210\u7acb\u3002<\/p>\n<p style=\"text-align: justify;\">\u901a\u8fc7\u8fd9\u4e00\u5f52\u7eb3\u8bc1\u660e\u7684\u8fc7\u7a0b\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u4e25\u8c28\u7684\u6570\u5b66\u8bc1\u660e\u6280\u672f\u5e94\u7528\u4e8e\u81ea\u7136\u6570\u9886\u57df\u4e4b\u5916\uff0c\u8fd8\u5e94\u7528\u4e8e\u547d\u9898\u903b\u8f91\u3002\u901a\u8fc7\u5f52\u7eb3\u6cd5\uff0c\u6211\u4eec\u6210\u529f\u5730\u786e\u7acb\u4e86\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u5e7f\u4e49\u5f62\u5f0f\u7684\u6709\u6548\u6027\uff0c\u4ece\u800c\u52a0\u5f3a\u4e86\u5bf9\u6570\u5b66\u77e5\u8bc6\u7684\u5404\u4e2a\u9886\u57df\u4e2d\u903b\u8f91\u57fa\u7840\u7684\u7406\u89e3\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u5bf9\u62bd\u8c61\u63a8\u7406\u6280\u80fd\u7684\u53d1\u5c55\u81f3\u5173\u91cd\u8981\uff0c\u800c\u4e14\u4f5c\u4e3a\u89e3\u51b3\u6570\u5b66\u53ca\u5176\u4ed6\u9886\u57df\u590d\u6742\u95ee\u9898\u7684\u6709\u529b\u5de5\u5177\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f52\u7eb3\u8bc1\u660e\uff1a\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u89c4\u5219 \u6458\u8981\u672c\u8bfe\u7a0b\u8ba8\u8bba\u4e86\u6570\u5b66\u548c\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5f52\u7eb3\u8bc1\u660e\u4e3b\u9898\u3002\u6211\u4eec\u89e3\u91ca\u4e86\u4e24\u79cd\u73b0\u6709\u7684\u8bc1\u660e\u7c7b\u578b\uff1a\u57fa\u4e8e\u903b\u8f91\u89c4\u5219\u7684\u5185\u90e8\u6216\u6f14\u7ece\u8bc1\u660e\uff0c\u4ee5\u53ca\u7528\u4e8e\u8bc1\u660e\u5173\u4e8e\u903b\u8f91\u672c\u8eab\u7684\u9648\u8ff0\u7684\u5916\u90e8\u6216\u5143\u6570\u5b66\u8bc1\u660e\u3002\u4ecb\u7ecd\u4e86\u6570\u5b66\u5f52\u7eb3\u6cd5\u4f5c\u4e3a\u4e00\u79cd\u8bc1\u660e\u65b9\u6cd5\uff0c\u5b83\u53ef\u4ee5\u7528\u6765\u8bc1\u660e\u67d0\u4e9b\u9648\u8ff0\u5bf9\u6240\u6709\u81ea\u7136\u6570\u90fd\u6210\u7acb\u3002\u8bfe\u7a0b\u5c55\u793a\u4e86\u4e00\u4e2a\u5e26\u6709\u76f8\u5e94\u8bc1\u660e\u7684\u793a\u4f8b\uff0c\u5e76\u89e3\u91ca\u4e86\u547d\u9898\u903b\u8f91\u4e2d\u5fb7\u6469\u6839\u5b9a\u5f8b\u548c\u5206\u914d\u5f8b\u7684\u5e7f\u4e49\u5f62\u5f0f\u53ca\u5176\u5f52\u7eb3\u8bc1\u660e\u3002\u8fd9\u8282\u8bfe\u5bf9\u4e8e\u7406\u89e3\u6570\u5b66\u548c\u903b\u8f91\u7684\u57fa\u7840\u77e5\u8bc6\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u4e0d\u540c\u9886\u57df\u81f3\u5173\u91cd\u8981\u3002 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