{"id":25398,"date":"2021-03-11T00:00:51","date_gmt":"2021-03-11T00:00:51","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25398"},"modified":"2024-06-05T04:16:47","modified_gmt":"2024-06-05T04:16:47","slug":"%e4%ba%86%e8%a7%a3%e6%a6%82%e7%8e%87%e8%ae%ba%e7%9a%84%e6%a0%b7%e6%9c%ac%e7%a9%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e4%ba%86%e8%a7%a3%e6%a6%82%e7%8e%87%e8%ae%ba%e7%9a%84%e6%a0%b7%e6%9c%ac%e7%a9%ba%e9%97%b4\/","title":{"rendered":"\u4e86\u89e3\u6982\u7387\u8bba\u7684\u6837\u672c\u7a7a\u95f4"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u4e86\u89e3\u6982\u7387\u8bba\u7684\u6837\u672c\u7a7a\u95f4<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6458\u8981<\/strong><br \/><em>\u5728\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u63a2\u8ba8\u4e86\u6982\u7387\u7a7a\u95f4\u7684\u6982\u5ff5\uff0c\u8fd9\u662f\u4e00\u4e2a\u7531\u6837\u672c\u7a7a\u95f4\u3001\u897f\u683c\u739b\u4ee3\u6570\u548c\u6982\u7387\u6d4b\u5ea6\u7ec4\u6210\u7684\u6570\u5b66\u7ed3\u6784\u3002\u6211\u4eec\u8be6\u7ec6\u5ba1\u67e5\u4e86\u6837\u672c\u7a7a\u95f4\uff0c\u7406\u89e3\u4e3a\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\u6240\u6709\u53ef\u80fd\u72b6\u6001\u7684\u96c6\u5408\u3002\u901a\u8fc7\u5b9e\u9645\u793a\u4f8b\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u7684\u6784\u5efa\uff0c\u5e76\u89e3\u91ca\u4e86\u5982\u4f55\u4ece\u4e2d\u6784\u5efa\u53ef\u6d4b\u91cf\u4e8b\u4ef6\u5e76\u8ba1\u7b97\u6982\u7387\u6d4b\u5ea6\u3002\u8fd9\u5802\u8bfe\u5bf9\u4e8e\u7406\u89e3\u6982\u7387\u8bba\u7684\u57fa\u7840\u5e76\u4e3a\u5176\u5728\u4e0d\u540c\u9886\u57df\u7684\u5e94\u7528\u5960\u5b9a\u57fa\u7840\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>\u7406\u89e3<\/strong> \u6982\u7387\u7a7a\u95f4\u7684\u6982\u5ff5\u3002<\/li>\n<li><strong>\u8bc6\u522b<\/strong> \u6784\u6210\u6982\u7387\u7a7a\u95f4\u7684\u5143\u7d20\u3002<\/li>\n<li><strong>\u533a\u5206<\/strong> \u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u3002<\/li>\n<li><strong>\u6784\u5efa<\/strong> \u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u5185\u5bb9\u7d22\u5f15<\/strong><br \/>\n<a href=\"#1\">\u6982\u7387\u7a7a\u95f4<\/a><br \/>\n<a href=\"#2\">\u6837\u672c\u7a7a\u95f4\u793a\u4f8b<\/a><br \/>\n<a href=\"#3\">\u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/NgYvWIWC_c4\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u6982\u7387\u7a7a\u95f4<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=89s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u6982\u7387\u8bba\u57fa\u4e8e\u4e00\u4e2a\u88ab\u79f0\u4e3a\u6982\u7387\u7a7a\u95f4\u7684\u5bf9\u8c61\u3002<\/span><\/strong><\/a> \u8fd9\u662f\u4e00\u4e2a\u7531\u4ee5\u4e0b\u90e8\u5206\u6784\u6210\u7684\u6570\u5b66\u7ed3\u6784\uff1a(i) \u4e00\u4e2a\u6837\u672c\u7a7a\u95f4 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span>\uff0c(ii) \u4e00\u4e2a\u897f\u683c\u739b\u4ee3\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">\\Sigma<\/span>\uff0c\u4ee5\u53ca (iii) \u4e00\u4e2a\u6982\u7387\u6d4b\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span>\u3002\u4e3a\u4e86\u6784\u5efa\u6982\u7387\u7a7a\u95f4\uff0c\u6211\u4eec\u9996\u5148\u56de\u987e<strong>\u6837\u672c\u7a7a\u95f4<\/strong>\u7684\u6982\u5ff5\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6240\u6709<strong>\u53ef\u80fd\u72b6\u6001<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\omega<\/span> \u7684\u96c6\u5408 <span class=\"katex-eq\" data-katex-display=\"false\">\\Omega<\/span> \u5f62\u6210\u4e86\u4e00\u4e2a\u975e\u7a7a\u96c6\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a<strong>\u6837\u672c\u7a7a\u95f4<\/strong>\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u6837\u672c\u7a7a\u95f4\u793a\u4f8b<\/h2>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=136s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u793a\u4f8b 1<\/span><\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u5982\u679c\u6211\u4eec\u629b\u63b7\u4e00\u679a\u786c\u5e01\uff0c\u90a3\u4e48\u6211\u4eec\u6709\u4e24\u4e2a\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u6b63\u9762 (C) \u548c\u53cd\u9762 (S)\u3002\u56e0\u6b64\uff0c\u6837\u672c\u7a7a\u95f4\u5c06\u662f<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1m}=\\{C,S\\}<\/span>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><strong>\u793a\u4f8b 2<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u5982\u679c\u91cd\u590d\u524d\u9762\u7684\u5b9e\u9a8c\uff0c\u4f46\u8fd9\u6b21\u8fdb\u884c\u4e24\u6b21\u6295\u63b7\uff0c\u90a3\u4e48\u7ed3\u679c\u5c06\u662f\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{2m}=\\{(C,C);(C,S);(S,C);(S,S)\\}<\/span>\n<p>\u5373\u6240\u6709\u53ef\u80fd\u7684\u6b63\u9762\u548c\u53cd\u9762\u7ec4\u5408\u65b9\u5f0f\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><strong>\u793a\u4f8b 3<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u63b7\u4e00\u4e2a\u516d\u9762\u9ab0\u5b50\u7684\u6837\u672c\u7a7a\u95f4\u662f\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{1d6}=\\{1,2,3,4,5,6\\}<\/span>\n<p>\u5373\u6bcf\u4e00\u9762\u4e0a\u7684\u6570\u5b57\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; background-color: #dddddd; color: #008000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=213s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u793a\u4f8b 4<\/span><\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify; background-color: #ffffff; color: #000000;\">\u4e00\u4e2a\u7535\u5668\u7684\u5bff\u547d\uff08\u4ee5\u5c0f\u65f6\u8ba1\uff09\u7684\u6837\u672c\u7a7a\u95f4\u662f<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Omega_{ae}=\\{t\\in \\mathbb{R} \\;|\\; t\\geq 0\\}<\/span>\n<p>\u5373\uff0c\u7535\u5668\u7684\u5bff\u547d\u662f\u4e00\u4e2a\u4f4d\u4e8e\u533a\u95f4 <span class=\"katex-eq\" data-katex-display=\"false\"> [0,+\\infty[ <\/span> \u5185\u7684\u6570\u5b57 <span class=\"katex-eq\" data-katex-display=\"false\">t<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u79bb\u6563\u548c\u8fde\u7eed\u7684\u6837\u672c\u7a7a\u95f4<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=NgYvWIWC_c4&amp;t=285s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">\u4ece\u8fd9\u4e9b\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u533a\u5206\u4e24\u79cd\u7c7b\u578b\u7684\u6837\u672c\u7a7a\u95f4\uff0c<\/span><\/strong><\/a>\u5b83\u4eec\u662f\u79bb\u6563\u7684\u548c\u8fde\u7eed\u7684\u3002\u79bb\u6563\u7684\u6837\u672c\u7a7a\u95f4\u662f\u90a3\u4e9b\u7531\u6709\u9650\u96c6\u5408\u7ec4\u6210\u7684\u7a7a\u95f4\uff0c\u5982\u524d\u4e09\u4e2a\u793a\u4f8b\u6240\u793a\uff0c\u5c3d\u7ba1\u5b83\u4eec\u4e5f\u53ef\u4ee5\u662f\u65e0\u9650\u4e14\u53ef\u6570\u7684\uff08\u5982<span class=\"katex-eq\" data-katex-display=\"false\">\\mathbb{N}<\/span>\u7684\u4efb\u4f55\u5b50\u96c6\uff09\u3002\u76f8\u53cd\uff0c\u8fde\u7eed\u7684\u6837\u672c\u7a7a\u95f4\u662f\u65e0\u9650\u4e14\u4e0d\u53ef\u6570\u7684\u96c6\u5408\uff1b\u901a\u5e38\u901a\u8fc7<span class=\"katex-eq\" data-katex-display=\"false\">\\mathbb{R}<\/span>\u7684\u5b50\u533a\u95f4\u6765\u8868\u793a\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4ece\u6837\u672c\u7a7a\u95f4\u7684\u5143\u7d20\uff08\u53ef\u80fd\u7684\u72b6\u6001\uff09\u6784\u5efa\u6982\u7387\u7a7a\u95f4\u7684<strong>\u53ef\u6d4b\u91cf\u4e8b\u4ef6<\/strong>\uff08sigma-\u4ee3\u6570\u7684\u5bf9\u8c61\uff09\uff0c\u5e76\u5728\u8fd9\u4e9b\u5bf9\u8c61\u4e0a\u8ba1\u7b97<strong>\u6982\u7387\u5ea6\u91cf\u3002<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e86\u89e3\u6982\u7387\u8bba\u7684\u6837\u672c\u7a7a\u95f4 \u6458\u8981\u5728\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u63a2\u8ba8\u4e86\u6982\u7387\u7a7a\u95f4\u7684\u6982\u5ff5\uff0c\u8fd9\u662f\u4e00\u4e2a\u7531\u6837\u672c\u7a7a\u95f4\u3001\u897f\u683c\u739b\u4ee3\u6570\u548c\u6982\u7387\u6d4b\u5ea6\u7ec4\u6210\u7684\u6570\u5b66\u7ed3\u6784\u3002\u6211\u4eec\u8be6\u7ec6\u5ba1\u67e5\u4e86\u6837\u672c\u7a7a\u95f4\uff0c\u7406\u89e3\u4e3a\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\u6240\u6709\u53ef\u80fd\u72b6\u6001\u7684\u96c6\u5408\u3002\u901a\u8fc7\u5b9e\u9645\u793a\u4f8b\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u7684\u6784\u5efa\uff0c\u5e76\u89e3\u91ca\u4e86\u5982\u4f55\u4ece\u4e2d\u6784\u5efa\u53ef\u6d4b\u91cf\u4e8b\u4ef6\u5e76\u8ba1\u7b97\u6982\u7387\u6d4b\u5ea6\u3002\u8fd9\u5802\u8bfe\u5bf9\u4e8e\u7406\u89e3\u6982\u7387\u8bba\u7684\u57fa\u7840\u5e76\u4e3a\u5176\u5728\u4e0d\u540c\u9886\u57df\u7684\u5e94\u7528\u5960\u5b9a\u57fa\u7840\u81f3\u5173\u91cd\u8981\u3002 \u5b66\u4e60\u76ee\u6807\uff1a \u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u7406\u89e3 \u6982\u7387\u7a7a\u95f4\u7684\u6982\u5ff5\u3002 \u8bc6\u522b \u6784\u6210\u6982\u7387\u7a7a\u95f4\u7684\u5143\u7d20\u3002 \u533a\u5206 \u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u3002 \u6784\u5efa \u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u3002 \u5185\u5bb9\u7d22\u5f15 \u6982\u7387\u7a7a\u95f4 \u6837\u672c\u7a7a\u95f4\u793a\u4f8b \u79bb\u6563\u548c\u8fde\u7eed\u6837\u672c\u7a7a\u95f4 \u6982\u7387\u7a7a\u95f4 \u6982\u7387\u8bba\u57fa\u4e8e\u4e00\u4e2a\u88ab\u79f0\u4e3a\u6982\u7387\u7a7a\u95f4\u7684\u5bf9\u8c61\u3002 \u8fd9\u662f\u4e00\u4e2a\u7531\u4ee5\u4e0b\u90e8\u5206\u6784\u6210\u7684\u6570\u5b66\u7ed3\u6784\uff1a(i) \u4e00\u4e2a\u6837\u672c\u7a7a\u95f4 \uff0c(ii) \u4e00\u4e2a\u897f\u683c\u739b\u4ee3\u6570 \uff0c\u4ee5\u53ca (iii) \u4e00\u4e2a\u6982\u7387\u6d4b\u5ea6 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