{"id":28008,"date":"2021-02-19T13:00:21","date_gmt":"2021-02-19T13:00:21","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28008"},"modified":"2024-08-16T04:19:17","modified_gmt":"2024-08-16T04:19:17","slug":"%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e8%af%ad%e4%b9%89%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e8%af%ad%e4%b9%89%e5%ad%a6\/","title":{"rendered":"\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6458\u8981<\/strong><br \/><em>\u5728\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66\uff0c\u7279\u522b\u662f\u8868\u8fbe\u5f0f\u7684\u771f\u503c\u5206\u914d\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u903b\u8f91\u8fde\u63a5\u8bcd\u4ece\u4e00\u4e2a\u8868\u8fbe\u5f0f\u4f20\u64ad\u5230\u53e6\u4e00\u4e2a\u8868\u8fbe\u5f0f\u3002\u6211\u4eec\u5c06\u5f15\u5165\u771f\u503c\u8868\u7684\u6982\u5ff5\uff0c\u5e76\u5c55\u793a\u5426\u5b9a\u3001\u6790\u53d6\u3001\u5408\u53d6\u3001\u8574\u6db5\u3001\u53cc\u5411\u8574\u6db5\u548c\u5f02\u6216\u7b49\u6d3e\u751f\u8fde\u63a5\u8bcd\u7684\u771f\u503c\u8868\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u4f1a\u4ecb\u7ecd\u5173\u4e8e\u4e00\u7ec4\u539f\u5b50\u8868\u8fbe\u5f0f\u7684\u5206\u914d\u7684\u5b9a\u4e49\uff0c\u5e76\u89e3\u91ca\u5982\u4f55\u81ea\u7136\u5730\u6269\u5c55\u5230\u4ece\u8be5\u96c6\u5408\u6784\u5efa\u7684\u6240\u6709\u8868\u8fbe\u5f0f\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5b9a\u4e49\u6709\u6548\u3001\u53ef\u6ee1\u8db3\u548c\u4e0d\u53ef\u6ee1\u8db3\u7684\u8868\u8fbe\u5f0f\uff0c\u5e76\u5c55\u793a\u4e00\u4e9b\u91cd\u8a00\u5f0f\u548c\u77db\u76fe\u5f0f\u7684\u4f8b\u5b50\u3002\u7136\u800c\uff0c\u6211\u4eec\u8ba4\u8bc6\u5230\uff0c\u5bf9\u4e8e\u590d\u6742\u8868\u8fbe\u5f0f\u8ba1\u7b97\u771f\u503c\u8868\u53ef\u80fd\u6548\u7387\u4f4e\u4e0b\uff0c\u56e0\u6b64\u6211\u4eec\u63d0\u5230\u5bfb\u627e\u89e3\u51b3\u6709\u6548\u6027\u6216\u53ef\u6ee1\u8db3\u6027\u95ee\u9898\u7684\u66ff\u4ee3\u65b9\u6cd5\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u5728\u672c\u8bfe\u7a0b\u7ed3\u675f\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\n<\/p>\n<ol>\n<li><strong>\u89e3\u91ca<\/strong>\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66<\/li>\n<li><strong>\u4f7f\u7528<\/strong>\u771f\u503c\u8868\u8868\u793a\u547d\u9898\u903b\u8f91\u4e2d\u8868\u8fbe\u5f0f\u7684\u771f\u503c\u5206\u914d<\/li>\n<li><strong>\u5efa\u6a21<\/strong>\u4e00\u4e2a\u5e26\u6709\u5206\u914d\u7684\u547d\u9898\u903b\u8f91\u8868\u8fbe\u5f0f<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u89c4\u5219\uff0c\u4ee5\u786e\u5b9a\u8868\u8fbe\u5f0f\u662f\u5426\u4e3a\u91cd\u8a00\u5f0f\u3001\u77db\u76fe\u6216\u5076\u7136\u5f0f<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u5173\u4e8e\u771f\u503c\u5206\u914d<\/a><br \/>\n<a href=\"#2\">\u547d\u9898\u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66<\/a><br \/>\n<a href=\"#3\">\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5206\u914d<\/a><br \/>\n<a href=\"#4\">\u547d\u9898\u903b\u8f91\u4e2d\u7684\u6a21\u578b<\/a><br \/>\n<a href=\"#5\">\u547d\u9898\u903b\u8f91\u8bed\u4e49\u5b66\u4e2d\u6f5c\u4f0f\u7684\u6548\u7387\u95ee\u9898<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/tX_JVhn-wl0\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/div>\n<p><a name=\"1\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u5173\u4e8e\u771f\u503c\u5206\u914d<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=7s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6211\u4eec\u4e4b\u524d\u56de\u987e\u4e86<\/span><\/strong><\/a> \u547d\u9898\u903b\u8f91\u7684\u53e5\u6cd5 \u548c \u6f14\u7ece\u7cfb\u7edf\u3002\u867d\u7136\u8fd9\u4e9b\u5e2e\u52a9\u6211\u4eec\u56de\u987e\u4e86 \u5982\u4f55\u4ece\u4e00\u4e2a\u8868\u8fbe\u5f0f\u63a8\u5bfc\u51fa\u53e6\u4e00\u4e2a\u8868\u8fbe\u5f0f\uff0c\u4f46\u5e76\u672a\u6d89\u53ca\u5230\u771f\u503c\u5206\u914d\u7684\u95ee\u9898\u3002\u7531\u4e8e\u6211\u4eec\u5df2\u7ecf\u8bb2\u5b8c\u4e86\u5173\u4e8e\u547d\u9898\u903b\u8f91\u4e2d\u7684\u6f14\u7ece\u6280\u672f\uff0c\u73b0\u5728\u6211\u4eec\u5c06\u5f00\u59cb\u5b66\u4e60\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66\uff0c\u63a2\u8ba8\u771f\u503c\u5206\u914d\u5982\u4f55\u4ece\u4e00\u4e2a\u8868\u8fbe\u5f0f\u4f20\u64ad\u5230\u53e6\u4e00\u4e2a\u8868\u8fbe\u5f0f\u3002<\/p>\n<p><a name=\"2\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66<\/h2>\n<p style=\"text-align: justify; color: #000000;\">\u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66\u901a\u8fc7<strong>\u771f\u503c\u8868<\/strong>\u5f15\u5165\uff0c\u56e0\u4e3a\u5b83\u4eec\u63d0\u4f9b\u4e86\u4e00\u79cd\u7b80\u5355\u6709\u5e8f\u7684\u65b9\u6cd5\u6765\u8868\u793a\u8868\u8fbe\u5f0f\u7684\u6240\u6709\u53ef\u80fd\u5206\u914d\u3002<\/p>\n<h3>\u8054\u63a5\u5426\u5b9a\u7684\u771f\u503c\u8868<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=282s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u9996\u5148<\/span><\/strong><\/a>\uff0c\u6211\u4eec\u5c06\u4ece\u6700\u57fa\u672c\u7684\u8fde\u63a5\u8bcd\u5f00\u59cb\uff0c\u5373\u8054\u63a5\u5426\u5b9a\u3002\u5176\u771f\u503c\u8868\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\downarrow\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u771f\u503c \u00ab1\u00bb \u548c \u00ab0\u00bb \u5206\u522b\u5bf9\u5e94 \u00ab\u771f\u00bb \u548c \u00ab\u5047\u00bb\u3002\u771f\u503c\u8868\u4e2d\u7684\u6bcf\u4e00\u884c\u4ee3\u8868\u8868\u8fbe\u5f0f\uff08\u6216\u539f\u5b50\u8868\u8fbe\u5f0f\uff09\u4e2d\u7684\u53d8\u91cf\u53ef\u80fd\u7684\u4e00\u4e2a\u5206\u914d\u3002\u7c7b\u4f3c\u5730\uff0c\u5f62\u6210\u8fd9\u4e9b\u53d8\u91cf\u7684\u8868\u8fbe\u5f0f\u6240\u5728\u7684\u6bcf\u4e00\u5217\u90fd\u6709\u53ef\u80fd\u7684\u5206\u914d\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u8fd9\u5f20\u8868\u7684\u89e3\u91ca\u544a\u8bc9\u6211\u4eec\uff0c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha\\downarrow\\beta<\/span><\/span> \u53ea\u6709\u5f53 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span> \u90fd\u4e3a\u5047\u65f6\u624d\u4e3a\u771f\uff0c\u5728\u5176\u4ed6\u60c5\u51b5\u4e0b\u4e3a\u5047\u3002\u56e0\u6b64\uff0c\u8fde\u63a5\u8bcd <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span> \u88ab\u79f0\u4e3a <strong>\u8054\u63a5\u5426\u5b9a<\/strong>\u3002<\/p>\n<h3>\u6d3e\u751f\u8fde\u63a5\u8bcd\u7684\u771f\u503c\u8868<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u57fa\u4e8e\u8054\u63a5\u5426\u5b9a\u7684\u8bed\u4e49\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5176\u5b9a\u4e49\u63a8\u5bfc\u51fa\u5176\u4ed6\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u3002\u5b83\u4eec\u662f\uff1a<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td><span><strong>\u5426\u5b9a\uff1a<\/strong><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg \\alpha<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\downarrow\\alpha)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><strong>\u6790\u53d6\uff1a<\/strong><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\vee \\beta)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(\\alpha\\downarrow\\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><strong>\u5408\u53d6\uff1a<\/strong><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\wedge \\beta)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(\\neg\\alpha\\vee \\neg\\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><strong>\u8574\u6db5\uff1a<\/strong><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\rightarrow \\beta)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\neg\\alpha\\vee \\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><strong>\u53cc\u5411\u8574\u6db5\uff1a<\/strong><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\leftrightarrow \\beta)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((\\alpha\\rightarrow \\beta)\\wedge(\\beta \\rightarrow \\alpha))<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><strong>\u5f02\u6216\uff1a<\/strong><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\underline{\\vee} \\beta)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">:=<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(\\alpha\\leftrightarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u57fa\u4e8e\u8fd9\u4e9b\u5b9a\u4e49\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u5176\u4ed6\u8fde\u63a5\u8bcd\u7684\u771f\u503c\u8868\uff1a<\/p>\n<h4>\u5426\u5b9a<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg \\alpha<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=335s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u56e0\u6b64<\/span><\/strong><\/a>\uff0c\u5426\u5b9a\u8fde\u63a5\u8bcd\u5177\u6709\u53cd\u8f6c\u5176\u4f5c\u7528\u5bf9\u8c61\u7684\u771f\u503c\u7684\u7279\u6027\u3002<\/p>\n<h4>\u6790\u53d6<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\vee\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=383s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u56e0\u6b64<\/span><\/strong><\/a>\uff0c\u4e24\u8868\u8fbe\u5f0f\u7684\u6790\u53d6\uff08\u6216\u7b80\u5355\u79f0\u4e3a\u201c\u6790\u53d6\u201d\uff09\u5728\u81f3\u5c11\u4e00\u4e2a\u8868\u8fbe\u5f0f\u4e3a\u771f\u65f6\u4e3a\u771f\uff0c\u800c\u5f53\u4e24\u8005\u90fd\u4e3a\u5047\u65f6\u4e3a\u5047\u3002<\/p>\n<h4>\u5408\u53d6<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\wedge\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=444s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u56e0\u6b64<\/span><\/strong><\/a>\uff0c\u4e24\u8868\u8fbe\u5f0f\u7684\u5408\u53d6\u4ec5\u5728\u4e24\u8005\u540c\u65f6\u4e3a\u771f\u65f6\u4e3a\u771f\uff0c\u5728\u5176\u4ed6\u60c5\u51b5\u4e0b\u4e3a\u5047\u3002\u56e0\u6b64\uff0c\u4e00\u4e2a\u9002\u5f53\u7684\u540d\u79f0\u4e5f\u53ef\u4ee5\u662f\u201c\u8054\u5408\u65ad\u8a00\u201d\u3002<\/p>\n<h4>\u8574\u6db5<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\rightarrow\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=555s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u56e0\u6b64<\/span><\/strong><\/a>\uff0c\u8574\u6db5\u7684\u771f\u503c\u8868\u603b\u7ed3\u4e86\u8fd9\u6837\u7684\u6982\u5ff5\uff1a\u4e00\u4e2a\u771f\u547d\u9898\u53ea\u80fd\u8574\u6db5\u53e6\u4e00\u4e2a\u771f\u547d\u9898\uff0c\u800c\u4e00\u4e2a\u5047\u547d\u9898\u53ef\u4ee5\u8574\u6db5\u4efb\u4f55\u547d\u9898\u3002<\/p>\n<h4>\u53cc\u5411\u8574\u6db5<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\leftrightarrow\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=641s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u53cc\u5411\u8574\u6db5<\/span><\/strong><\/a>\u5f62\u6210\u4e00\u4e2a\u771f\u547d\u9898\u5f53\u4e14\u4ec5\u5f53\u7ec4\u6210\u5b83\u7684\u4e24\u4e2a\u547d\u9898\u5177\u6709\u76f8\u540c\u7684\u771f\u503c\uff0c\u5728\u5176\u4ed6\u60c5\u51b5\u4e0b\u4e3a\u5047\u3002<\/p>\n<h4>\u5f02\u6216<\/h4>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span><\/span><\/strong><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha\\underline{\\vee}\\beta)<\/span><\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center; background-color: #ccffcc;\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=702s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5f02\u6216<\/span><\/strong><\/a>\u5728\u4e14\u4ec5\u5728\u4e24\u4e2a\u547d\u9898\u4e2d\u53ea\u6709\u4e00\u4e2a\u4e3a\u771f\u65f6\u4e3a\u771f\uff0c\u5728\u5176\u4ed6\u60c5\u51b5\u4e0b\u4e3a\u5047\u3002<\/p>\n<p><a name=\"3\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u4e2d\u7684\u5206\u914d<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=857s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6839\u636e\u4e4b\u524d\u7684\u63cf\u8ff0<\/span><\/strong><\/a>\uff0c\u6211\u4eec\u5bf9\u5206\u914d\u6709\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u6982\u5ff5\uff1b\u7136\u800c\uff0c\u4e3a\u4e86\u7406\u89e3\u6211\u4eec\u5c06\u8981\u63a2\u8ba8\u7684\u5185\u5bb9\uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u66f4\u7cbe\u786e\u7684\u5b9a\u4e49\u3002\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S=\\{A_1, A_2, \\cdots, A_n\\}<\/span><\/span> \u662f\u4e00\u4e2a\u539f\u5b50\u547d\u9898\u7684\u96c6\u5408\uff0c\u5e76\u4e14 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{F}(S)<\/span><\/span> \u662f\u4ece\u8be5\u96c6\u5408\u6784\u5efa\u7684\u6240\u6709\u547d\u9898\u7684\u96c6\u5408\uff0c\u90a3\u4e48\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u5b9a\u4e49\uff1a<\/strong><\/span> \u4e00\u4e2a\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684 <strong>\u5206\u914d<\/strong> \u662f\u4e00\u4e2a\u51fd\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}: S \\longrightarrow \\{0,1\\}<\/span><\/span><\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6362\u53e5\u8bdd\u8bf4\uff0c\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684\u5206\u914d\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e2d\u7684\u6bcf\u4e2a\u539f\u5b50\u547d\u9898\u8d4b\u4e88\u4e00\u4e2a\u771f\u503c\u3002\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u81ea\u7136\u5730\u6269\u5c55\u5230 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{F}(S)<\/span><\/span> \u7684\u6240\u6709\u5143\u7d20\u3002\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\in \\mathcal{F}(S)<\/span><\/span>\uff0c\u90a3\u4e48\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u5bf9\u5e94\u4e8e\u771f\u503c\u8868\u4e2d\u7684\u552f\u4e00\u4e00\u884c\uff0c\u5e76\u4e14 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(F)<\/span><\/span> \u8868\u793a\u8be5\u884c\u4e2d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u7684\u771f\u503c\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4e00\u4e2a\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u4e5f\u53ef\u4ee5\u6269\u5c55\u5230\u67d0\u4e9b\u4e0d\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{F}(S)<\/span><\/span> \u4e2d\u7684\u8868\u8fbe\u5f0f\u3002\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_0<\/span><\/span> \u662f\u4e00\u4e2a\u4e0d\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{F}(S)<\/span><\/span> \u4e2d\u7684\u8868\u8fbe\u5f0f\uff0c\u5e76\u4e14 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S_0<\/span><\/span> \u662f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_0<\/span><\/span> \u7684\u539f\u5b50\u5b50\u516c\u5f0f\u7684\u96c6\u5408\uff0c\u90a3\u4e48\u5982\u679c\u6240\u6709\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S\\cup S_0<\/span><\/span> \u4e0a\u7684\u6269\u5c55\u5206\u914d\u90fd\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_0<\/span><\/span> \u8d4b\u4e88\u76f8\u540c\u7684\u503c\uff0c\u90a3\u4e48\u5b9a\u4e49 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(F_0)<\/span><\/span> \u4e3a\u8be5\u503c\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000088;\">\u4f8b\u5b50\uff1a<\/span>\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u662f\u539f\u5b50\u547d\u9898\uff0c\u5e76\u4e14\u5728 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{A,B\\}<\/span><\/span> \u4e0a\u7684\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u901a\u8fc7 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(A)=1<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(B)=0<\/span><\/span> \u5b9a\u4e49\uff0c\u90a3\u4e48\u6211\u4eec\u5c06\u6709\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(A\\wedge B)=0<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(A\\vee B)=1<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5c3d\u7ba1\u6ca1\u6709\u4e3a\u53d8\u91cf <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u786e\u5b9a\u5206\u914d\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u8bf4\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(A\\wedge (C\\vee \\neg C))=1<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(B\\vee (C\\wedge \\neg C))=0<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u53d1\u751f\u5728\u540e\u4e24\u4e2a\u8868\u8fbe\u5f0f\u4e2d\uff0c\u56e0\u4e3a\u65e0\u8bba\u5982\u4f55\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span>\uff0c\u603b\u4f1a\u6709<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(C\\vee\\neg C)=1<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(C\\wedge\\neg C)=0<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u5176\u771f\u503c\u8868\u5feb\u901f\u68c0\u67e5\u8fd9\u4e9b\u60c5\u51b5\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg C<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(C\\wedge \\neg C)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(C \\vee \\neg C)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u25a0 \u4f8b\u5b50\u7ed3\u675f<\/p>\n<p><a name=\"4\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u4e2d\u7684\u6a21\u578b<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=tX_JVhn-wl0&amp;t=1323s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u8003\u8651\u4e00\u4e2a\u5728\u8868\u8fbe\u5f0f\u96c6\u5408<\/span><\/strong><\/a><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/span> \u4e0a\u7684\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span>\u3002\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\in S<\/span><\/span> \u662f\u4f7f\u5f97 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(F)=1<\/span><\/span> \u7684\u8868\u8fbe\u5f0f\uff0c\u5219\u79f0\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u4e3a\u6a21\u578b\uff0c\u6216\u79f0 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u662f\u7531\u5206\u914d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u652f\u6301\u7684\uff0c\u5e76\u901a\u8fc7\u5199\u4f5c\u8868\u793a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models F<\/span><\/span>\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u57fa\u4e8e\u6b64\uff0c\u6211\u4eec\u63d0\u51fa\u4ee5\u4e0b\u5b9a\u4e49\uff1a<\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u5b9a\u4e49\uff1a<\/strong><\/span> \u5982\u679c\u4e00\u4e2a\u8868\u8fbe\u5f0f\u5728\u4efb\u4f55\u5206\u914d\u4e0b\u90fd\u6210\u7acb\uff0c\u5219\u79f0\u5176\u4e3a <strong>\u6709\u6548<\/strong>\u3002\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u6709\u6548\uff0c\u5219\u5199\u4f5c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models F <\/span><\/span>\u3002\u6709\u6548\u8868\u8fbe\u5f0f\u4e5f\u79f0\u4e3a <strong>\u91cd\u8a00\u5f0f<\/strong>\u3002<\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000088;\">\u4f8b\u5b50\uff1a<\/span>\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u7684\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(C\\vee \\neg C)<\/span><\/span> \u662f\u4e00\u4e2a <strong>\u91cd\u8a00\u5f0f<\/strong>\u3002<\/p>\n<p>\u25a0 \u4f8b\u5b50\u7ed3\u675f<\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u5b9a\u4e49\uff1a<\/strong><\/span> \u5982\u679c\u4e00\u4e2a\u8868\u8fbe\u5f0f\u88ab\u67d0\u4e2a\u5206\u914d\u652f\u6301\uff0c\u5219\u79f0\u5176\u4e3a <strong>\u53ef\u6ee1\u8db3<\/strong>\u3002\u53ef\u6ee1\u8db3\u4f46\u4e0d\u662f\u91cd\u8a00\u5f0f\u7684\u8868\u8fbe\u5f0f\u79f0\u4e3a <strong>\u5076\u7136\u5f0f<\/strong>\u3002<\/p>\n<p><\/br><\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u5b9a\u4e49\uff1a<\/strong><\/span> \u5982\u679c\u4e00\u4e2a\u8868\u8fbe\u5f0f\u5728\u4efb\u4f55\u5206\u914d\u4e0b\u90fd\u4e0d\u6210\u7acb\uff0c\u5219\u79f0\u5176\u4e3a <strong>\u4e0d\u53ef\u6ee1\u8db3<\/strong>\u3002\u4e0d\u53ef\u6ee1\u8db3\u7684\u8868\u8fbe\u5f0f\u79f0\u4e3a <strong>\u77db\u76fe\u5f0f<\/strong>\u3002\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u662f\u4e00\u4e2a\u77db\u76fe\u5f0f\uff0c\u5219\u5199\u4f5c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\not\\models F <\/span><\/span>\u3002<\/p>\n<p><\/br><\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000088;\">\u4f8b\u5b50\uff1a<\/span>\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u7684\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(C\\wedge \\neg C)<\/span><\/span> \u662f\u4e00\u4e2a <strong>\u77db\u76fe\u5f0f<\/strong>\u3002<\/p>\n<p>\u25a0 \u4f8b\u5b50\u7ed3\u675f<\/p>\n<h3>\u91cd\u8a00\u5f0f\u4e0e\u77db\u76fe\u5f0f\u7684\u4f8b\u5b50<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u67e5\u770b\u4e00\u4e2a\u8868\u8fbe\u5f0f\u662f\u5426\u6709\u6548\u3002\u8fd9\u5c31\u662f\u6211\u4eec\u5728\u547d\u9898\u903b\u8f91\u8bed\u4e49\u5b66\u4e2d\u63d0\u51fa\u7684<strong>\u5224\u5b9a\u95ee\u9898<\/strong>\u3002\u5224\u5b9a\u95ee\u9898\u662f\u4efb\u4f55\u7ed9\u5b9a\u8f93\u5165\u540e\uff0c\u7ed3\u679c\u4e3a\u201c\u662f\u201d\u6216\u201c\u5426\u201d\u7684\u95ee\u9898\u3002\u5982\u679c\u7ed9\u6211\u4eec\u4e00\u4e2a\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u5e76\u95ee\u5b83\u662f\u5426\u6709\u6548\uff0c\u90a3\u4e48\u6211\u4eec\u9762\u4e34\u7684\u662f\u4e00\u4e2a\u79f0\u4e3a <strong>\u6709\u6548\u6027\u95ee\u9898<\/strong> \u7684\u5224\u5b9a\u95ee\u9898\u3002\u540c\u6837\u5730\uff0c\u5982\u679c\u95ee\u5b83\u662f\u5426\u53ef\u6ee1\u8db3\uff0c\u90a3\u4e48\u6211\u4eec\u9762\u4e34\u7684\u662f\u4e00\u4e2a <strong>\u53ef\u6ee1\u8db3\u6027\u95ee\u9898<\/strong>\u3002\u5728\u547d\u9898\u903b\u8f91\u4e2d\uff0c\u771f\u503c\u8868\u63d0\u4f9b\u4e86\u4e00\u4e2a\u7cfb\u7edf\u7684\u65b9\u6cd5\u6765\u89e3\u51b3\u8fd9\u4e9b\u5224\u5b9a\u95ee\u9898\uff1a\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u7684\u6240\u6709\u53ef\u80fd\u771f\u503c\u90fd\u662f\u201c1\u201d\uff0c\u5219 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u662f\u6709\u6548\u7684\uff1b\u5982\u679c\u53ea\u6709\u4e00\u4e9b\u662f\u201c1\u201d\uff0c\u5219\u5b83\u662f\u53ef\u6ee1\u8db3\u7684\uff1b\u6700\u540e\uff0c\u5982\u679c\u6240\u6709\u90fd\u662f\u201c0\u201d\uff0c\u5219\u5b83\u662f\u4e0d\u53ef\u6ee1\u8db3\u7684\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000088;\">\u4f8b\u5b50\uff1a<\/span>\u8003\u8651\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((A\\wedge (A \\rightarrow B)) \\rightarrow B)<\/span><\/span>\u3002\u4e3a\u4e86\u786e\u5b9a\u8be5\u8868\u8fbe\u5f0f\u662f\u6709\u6548\u3001\u53ef\u6ee1\u8db3\u8fd8\u662f\u77db\u76fe\u7684\uff0c\u6211\u4eec\u8ba1\u7b97\u5176\u771f\u503c\u8868\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(A\\rightarrow B)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(A\\wedge(A\\rightarrow B))<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((A\\wedge(A\\rightarrow B))\\rightarrow B)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u770b\u5230 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((A\\wedge(A\\rightarrow B))\\rightarrow B)<\/span><\/span> \u5bf9\u6240\u6709\u53ef\u80fd\u7684\u5206\u914d\u90fd\u4e3a\u201c1\u201d\uff0c\u56e0\u6b64\u8868\u8fbe\u5f0f\u662f\u4e00\u4e2a\u91cd\u8a00\u5f0f\u3002<\/p>\n<p>\u25a0 \u4f8b\u5b50\u7ed3\u675f<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span style=\"color: #000088;\">\u4f8b\u5b50\uff1a<\/span>\u73b0\u5728\u6211\u4eec\u8003\u8651\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(((A\\rightarrow B)\\rightarrow A)\\wedge \\neg A)<\/span><\/span>\u3002\u771f\u503c\u8868\u7684\u8ba1\u7b97\u7ed3\u679c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(A\\rightarrow B)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((A\\rightarrow B)\\rightarrow A)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #eeeeee;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg A<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(((A\\rightarrow B)\\rightarrow A)\\wedge \\neg A)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #aaffaa;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u56e0\u6b64\uff0c\u7ed3\u679c\u662f\u4e00\u4e2a\u77db\u76fe\u3002<\/p>\n<p>\u25a0 \u4f8b\u5b50\u7ed3\u675f<\/p>\n<p><a name=\"5\"><\/a><br \/>\n<\/br><\/br><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u8bed\u4e49\u5b66\u4e2d\u6f5c\u4f0f\u7684\u6548\u7387\u95ee\u9898<\/h2>\n<p style=\"text-align: justify; color: #000000;\">\u7406\u8bba\u4e0a\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u771f\u503c\u8868\u6765\u786e\u5b9a\u4e00\u4e2a\u8868\u8fbe\u5f0f\u662f\u6709\u6548\u3001\u5076\u7136\u8fd8\u662f\u4e0d\u53ef\u6ee1\u8db3\u7684\uff0c\u8fd9\u4e0d\u7b97\u7279\u522b\u56f0\u96be\uff1b\u7136\u800c\uff0c\u8fd9\u79cd\u6613\u6267\u884c\u6027\u662f\u4ee5\u6548\u7387\u4e3a\u4ee3\u4ef7\u7684\u3002\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u7531 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u4e2a\u539f\u5b50\u547d\u9898\u7ec4\u6210\u7684\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span>\uff0c\u90a3\u4e48\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u4e00\u4e2a\u6709 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2^n<\/span><\/span> \u884c\u7684\u771f\u503c\u8868\uff1b\u4f8b\u5982\uff0c\u5982\u679c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u662f\u7531 23 \u4e2a\u539f\u5b50\u547d\u9898\u7ec4\u6210\u7684\uff0c\u90a3\u4e48\u5176\u771f\u503c\u8868\u5c06\u6709 8,388,608 \u884c\u9700\u8981\u8ba1\u7b97\u3002\u4ee5\u8fd9\u79cd\u65b9\u5f0f\u8fdb\u884c\u64cd\u4f5c\u867d\u7136\u662f\u673a\u68b0\u4e14\u6613\u4e8e\u6267\u884c\u7684\uff0c\u4f46\u968f\u7740\u8868\u8fbe\u5f0f\u7684\u590d\u6742\u6027\u589e\u52a0\uff0c\u8ba1\u7b97\u5f88\u5feb\u5c31\u4f1a\u53d8\u5f97\u4e0d\u53ef\u884c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u7684\u672a\u6765\u76ee\u6807\u4e4b\u4e00\u662f\u627e\u5230\u4e00\u79cd\u4e0d\u9700\u8981\u8ba1\u7b97\u771f\u503c\u8868\u7684\u65b9\u6cd5\u6765\u89e3\u51b3\u6709\u6548\u6027\u6216\u53ef\u6ee1\u8db3\u6027\u95ee\u9898\u3002\u5bfb\u627e\u8fd9\u4e9b\u65b9\u6cd5\u662f\u4efb\u4f55\u903b\u8f91\u7684\u6838\u5fc3\u95ee\u9898\u4e4b\u4e00\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66 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\u5b66\u4e60\u76ee\u6807\uff1a \u5728\u672c\u8bfe\u7a0b\u7ed3\u675f\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f \u89e3\u91ca\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66 \u4f7f\u7528\u771f\u503c\u8868\u8868\u793a\u547d\u9898\u903b\u8f91\u4e2d\u8868\u8fbe\u5f0f\u7684\u771f\u503c\u5206\u914d \u5efa\u6a21\u4e00\u4e2a\u5e26\u6709\u5206\u914d\u7684\u547d\u9898\u903b\u8f91\u8868\u8fbe\u5f0f \u5e94\u7528\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u89c4\u5219\uff0c\u4ee5\u786e\u5b9a\u8868\u8fbe\u5f0f\u662f\u5426\u4e3a\u91cd\u8a00\u5f0f\u3001\u77db\u76fe\u6216\u5076\u7136\u5f0f \u76ee\u5f55 \u5173\u4e8e\u771f\u503c\u5206\u914d \u547d\u9898\u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66 \u547d\u9898\u903b\u8f91\u4e2d\u7684\u5206\u914d \u547d\u9898\u903b\u8f91\u4e2d\u7684\u6a21\u578b \u547d\u9898\u903b\u8f91\u8bed\u4e49\u5b66\u4e2d\u6f5c\u4f0f\u7684\u6548\u7387\u95ee\u9898 \u5173\u4e8e\u771f\u503c\u5206\u914d \u6211\u4eec\u4e4b\u524d\u56de\u987e\u4e86 \u547d\u9898\u903b\u8f91\u7684\u53e5\u6cd5 \u548c \u6f14\u7ece\u7cfb\u7edf\u3002\u867d\u7136\u8fd9\u4e9b\u5e2e\u52a9\u6211\u4eec\u56de\u987e\u4e86 \u5982\u4f55\u4ece\u4e00\u4e2a\u8868\u8fbe\u5f0f\u63a8\u5bfc\u51fa\u53e6\u4e00\u4e2a\u8868\u8fbe\u5f0f\uff0c\u4f46\u5e76\u672a\u6d89\u53ca\u5230\u771f\u503c\u5206\u914d\u7684\u95ee\u9898\u3002\u7531\u4e8e\u6211\u4eec\u5df2\u7ecf\u8bb2\u5b8c\u4e86\u5173\u4e8e\u547d\u9898\u903b\u8f91\u4e2d\u7684\u6f14\u7ece\u6280\u672f\uff0c\u73b0\u5728\u6211\u4eec\u5c06\u5f00\u59cb\u5b66\u4e60\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66\uff0c\u63a2\u8ba8\u771f\u503c\u5206\u914d\u5982\u4f55\u4ece\u4e00\u4e2a\u8868\u8fbe\u5f0f\u4f20\u64ad\u5230\u53e6\u4e00\u4e2a\u8868\u8fbe\u5f0f\u3002 \u547d\u9898\u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66 \u903b\u8f91\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u5b66\u901a\u8fc7\u771f\u503c\u8868\u5f15\u5165\uff0c\u56e0\u4e3a\u5b83\u4eec\u63d0\u4f9b\u4e86\u4e00\u79cd\u7b80\u5355\u6709\u5e8f\u7684\u65b9\u6cd5\u6765\u8868\u793a\u8868\u8fbe\u5f0f\u7684\u6240\u6709\u53ef\u80fd\u5206\u914d\u3002 \u8054\u63a5\u5426\u5b9a\u7684\u771f\u503c\u8868 \u9996\u5148\uff0c\u6211\u4eec\u5c06\u4ece\u6700\u57fa\u672c\u7684\u8fde\u63a5\u8bcd\u5f00\u59cb\uff0c\u5373\u8054\u63a5\u5426\u5b9a\u3002\u5176\u771f\u503c\u8868\u5982\u4e0b\u6240\u793a\uff1a 0 0 1 0 1 0 1 0 0 1 1 0 \u771f\u503c \u00ab1\u00bb \u548c \u00ab0\u00bb \u5206\u522b\u5bf9\u5e94 \u00ab\u771f\u00bb \u548c \u00ab\u5047\u00bb\u3002\u771f\u503c\u8868\u4e2d\u7684\u6bcf\u4e00\u884c\u4ee3\u8868\u8868\u8fbe\u5f0f\uff08\u6216\u539f\u5b50\u8868\u8fbe\u5f0f\uff09\u4e2d\u7684\u53d8\u91cf\u53ef\u80fd\u7684\u4e00\u4e2a\u5206\u914d\u3002\u7c7b\u4f3c\u5730\uff0c\u5f62\u6210\u8fd9\u4e9b\u53d8\u91cf\u7684\u8868\u8fbe\u5f0f\u6240\u5728\u7684\u6bcf\u4e00\u5217\u90fd\u6709\u53ef\u80fd\u7684\u5206\u914d\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u8fd9\u5f20\u8868\u7684\u89e3\u91ca\u544a\u8bc9\u6211\u4eec\uff0c \u53ea\u6709\u5f53 \u548c \u90fd\u4e3a\u5047\u65f6\u624d\u4e3a\u771f\uff0c\u5728\u5176\u4ed6\u60c5\u51b5\u4e0b\u4e3a\u5047\u3002\u56e0\u6b64\uff0c\u8fde\u63a5\u8bcd \u88ab\u79f0\u4e3a \u8054\u63a5\u5426\u5b9a\u3002 \u6d3e\u751f\u8fde\u63a5\u8bcd\u7684\u771f\u503c\u8868 \u57fa\u4e8e\u8054\u63a5\u5426\u5b9a\u7684\u8bed\u4e49\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5176\u5b9a\u4e49\u63a8\u5bfc\u51fa\u5176\u4ed6\u8fde\u63a5\u8bcd\u7684\u8bed\u4e49\u3002\u5b83\u4eec\u662f\uff1a \u5426\u5b9a\uff1a \u6790\u53d6\uff1a \u5408\u53d6\uff1a \u8574\u6db5\uff1a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28002,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":2,"footnotes":""},"categories":[623,575,609],"tags":[],"class_list":["post-28008","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-623","category-575","category-609"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u547d\u9898\u903b\u8f91\u7684\u8bed\u4e49\u5b66 - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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