{"id":1879,"date":"2025-12-24T17:20:36","date_gmt":"2025-12-24T08:20:36","guid":{"rendered":"https:\/\/math-travel.com\/?p=1879"},"modified":"2026-02-11T17:03:09","modified_gmt":"2026-02-11T08:03:09","slug":"concurrence","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-a\/concurrence\/","title":{"rendered":"\u3010\u96c6\u5408\u306e\u8a18\u53f7\u3011\u5fc5\u305a\u899a\u3048\u308b\u3079\u304d6\u3064\u306e\u8a18\u53f7\u30683\u3064\u306e\u6cd5\u5247"},"content":{"rendered":"\n
\u96c6\u5408\u306e\u8a18\u53f7\u3057\u3063\u304b\u308a\u899a\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n
\\(\\in\\)\u3068\u304b\u3001\\(\\subset\\)\u3068\u304b<\/p>\n\n\n\n
\u5f62\u4f3c\u3066\u308b\u3057\u3001\u899a\u3048\u3065\u3089\u3044\u3067\u3059\u3088\u306d\u3002<\/p>\n\n\n\n
\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u96c6\u5408\u306e\u8a18\u53f7\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u30446\u3064\u306e\u8a18\u53f7\u30683\u500b\u306e\u6cd5\u5247<\/span>\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u3053\u306e\u30da\u30fc\u30b8\u3092\u898b\u308c\u3070\u3001\u96c6\u5408\u306e\u8a18\u53f7\u306b\u95a2\u3059\u308b\u60a9\u307f\u306f\u89e3\u6c7a\uff01<\/p>\n\n\n\n \u305d\u308c\u3067\u306f\u3001\u96c6\u5408\u306e\u8a18\u53f7\u306b\u3064\u3044\u3066\u4f1d\u3048\u3066\u3044\u304d\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u96c6\u5408\u306e\u8a18\u53f7\u306e\u306a\u304b\u3067\u3082\u3001\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u3044\uff16\u3064\u306e\u8a18\u53f7\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n\n\n\n \uff11\u3064\u305a\u3064\u8a18\u53f7\u306e\u610f\u5473\u3092\u3001\u56f3\u3092\u7528\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304f\u306e\u3067\u3001\u4eca\u56de\u3067\u3057\u3063\u304b\u308a\u3068\u7406\u89e3\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u307e\u305a\u306f\u57fa\u790e\u3001\u8981\u7d20\\(\\in\\)\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \\(a\\in A\\)\u3068\u66f8\u3044\u305f\u3089\u3001a\u304c\u96c6\u5408A\u306e\u8981\u7d20\u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n \u3053\u306e\u5834\u5408\u30011,2,3,4,5,6,7\u304c\u96c6\u5408A\u306e\u8981\u7d20\u3067\u3042\u308a\u3001<\/p>\n\n\n\n \\(1,2,3,4,5,6,7\\in A\\)\u3068\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\in\\)\u306f\u3001\u6b21\u306b\u7d39\u4ecb\u3059\u308b\\(\\subset\\)\u3068\u5f62\u304c\u4f3c\u3066\u3044\u308b\u306e\u3067\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n\n\n\n \u30e8\u30a6\u30bd\u306e\u30e8\u306b\u4f3c\u3066\u3044\u308b\u3053\u3068\u3092\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n \u6b21\u306b\u90e8\u5206\u96c6\u5408\\(\\subset\\)\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \\(B \\subset A\\)\u306f\u3001\u96c6\u5408B\u306f\u96c6\u5408A\u306e\u90e8\u5206\u96c6\u5408\u3067\u3042\u308b\u3068\u3044\u3044\u3001\u96c6\u5408B\u304c\u96c6\u5408A\u306e\u4e2d\u306b\u5165\u3063\u3066\u3044\u308b<\/span>\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n\n\n \u4f8b \\(B\\subset A\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u5927\u306a\u308a\u3068\u540c\u3058\u304f\u3001\u53e3\u304c\u958b\u3044\u3066\u3044\u308b\u65b9\u304c\u5927\u304d\u3044\u96c6\u5408<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \\(\\cap\\)\u306f\u96c6\u5408\u306e\u5171\u901a\u90e8\u5206\u306e\u96c6\u5408\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n \u96c6\u5408A{1,2,3,4,5},\u96c6\u5408B{4,5,6,7}\u306e\u3068\u304d<\/p>\n\n\n\n \\(A\\cap B=\\{4,5\\}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \\(A\\cap B\\)\u306f\u3001\u96c6\u5408\u3092\u8868\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u96c6\u5408\u306e\u8981\u7d20\u3092\u793a\u3059\u3068\u304d\u306b\u306f\uff5b\uff5d\u3092\u4ed8\u3051\u308b\u306e\u3092\u5fd8\u308c\u306a\u3044\u3088\u3046\u306b\u6c17\u3092\u4ed8\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n \u6b21\u306f\u3001\u548c\u96c6\u5408\\(\\cup\\)\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\cap\\)\u304c\u5171\u901a\u90e8\u5206\u3060\u3051\u3060\u3063\u305f\u306e\u306b\u5bfe\u3057\u3066\u3001\u548c\u96c6\u5408\\(\\cup\\)\u306f\u8907\u6570\u306e\u96c6\u5408\u5168\u4f53\u306e\u96c6\u5408\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n \u96c6\u5408A{1,2,3,4,5},\u96c6\u5408B{4,5,6,7}\u306e\u3068\u304d<\/p>\n\n\n\n \\(A\\cup B=\\{1,2,3,4,5,6,7\\}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\cap\\)\u3068\\(\\cup\\)\u3082\u4f3c\u3066\u307e\u3059\u3088\u306d…<\/p>\n\n\n\n \u5b89\u5fc3\u3057\u3066\u304f\u3060\u3055\u3044\uff01\u899a\u3048\u65b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u307e\u305a\u3001\u5171\u901a\u90e8\u5206\\(\\cap\\)\u3088\u308a\u548c\u96c6\u5408\\(\\cup\\)\u306e\u65b9\u304c\u8981\u7d20\u306e\u6570\u306f\u7d76\u5bfe\u591a\u3044\u3093\u3067\u3059\u3088\u3002<\/p>\n\n\n\n \u5171\u901a\u90e8\u5206\u306f\u91cd\u306a\u3066\u3044\u308b\u90e8\u5206\u3060\u3051\u306a\u306e\u306b\u5bfe\u3057\u3066\u3001\u548c\u96c6\u5408\u306f\u5168\u4f53\u306a\u306e\u3067\u5f53\u305f\u308a\u524d\u3067\u3059\u3088\u306d\u3002<\/p>\n\n\n\n \u305d\u3053\u3067\u3001\u548c\u96c6\u5408\u306e\u65b9\u304c\u8981\u7d20\u304c\u591a\u304f\u306a\u308a\u5b09\u3057\u3044\u306e\u3067\u3001\u4e21\u624b\u6319\u3052\u3066\u300c\u30d0\u30f3\u30b6\u30fc\u30a4\uff01\uff01\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n \u305d\u3057\u3066\u3001\u5171\u901a\u90e8\u5206\u306f\u88ab\u3063\u3066\u3044\u308b\u90e8\u5206\u306a\u306e\u3067\u3001\u300c\u5e3d\u5b50\u3092\u88ab\u3063\u3066\u3044\u308b\u300d<\/span>\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u306d\u3002 \u4e00\u3064\u3082\u8981\u7d20\u3092\u6301\u305f\u306a\u3044\u96c6\u5408<\/span>\u306e\u3053\u3068\u3092\u7a7a\u96c6\u5408\u3068\u3044\u3046\u3002\u8a18\u53f7\u306f\\(\\phi\\)\uff08\u30d5\u30a1\u30a4\uff09\u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u4f8b\u3048\u3070\u3001\u96c6\u5408A{1,2,3,4},\u96c6\u5408B{5,6,7}\u306e\u3068\u304d<\/p>\n\n\n \u96c6\u5408A\u3068\u96c6\u5408B\u306f\u91cd\u306a\u308b\u90e8\u5206\u304c\u3042\u308a\u307e\u305b\u3093\u3088\u306d\u3002<\/p>\n\n\n\n \u306a\u306e\u3067\u3001\\(A\\cap B=\\Phi\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u6700\u5f8c\u306b\u88dc\u96c6\u5408\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u96c6\u5408A\u306e\u88dc\u96c6\u5408\u3092\\(\\overline A\\)\u3068\u8868\u3057\u3001A\u4ee5\u5916\u306e\u96c6\u5408\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n \u3064\u307e\u308a\u3001\u5168\u4f53\u96c6\u5408U{1,2,3,4,5,6,7},A{1,2,3,5}\u306e\u3068\u304d<\/p>\n\n\n\n \\(\\overline A=\\{4,6,7\\}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u3053\u308c\u3067\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u3044\u96c6\u5408\u306e\u8a18\u53f7\uff16\u500b\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n \u6700\u521d\u306f\u6559\u79d1\u66f8\u3092\u898b\u306a\u304c\u3089\u3067\u3082\u826f\u3044\u304b\u3089\u78ba\u5b9f\u306b\u899a\u3048\u3088\u3046\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u96c6\u5408\u306e\u8a18\u53f7\u3092\u899a\u3048\u305f\u6b21\u306f\u3001\u5b9a\u671f\u8a66\u9a13\u3084\u5165\u8a66\u306b\u51fa\u3084\u3059\u3044\u96c6\u5408\u306e\uff13\u500b\u306e\u6cd5\u5247\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u77e5\u3063\u3066\u3044\u308b\u3060\u3051\u3067\u5468\u308a\u3068\u5dee\u304c\u3064\u304f\u6cd5\u5247\u306a\u306e\u3067\u3001\u78ba\u5b9f\u306b\u7406\u89e3\u3057\u3066\u9032\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u30c9\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306f\u6709\u540d\u3067\u3059\u3088\u306d\u3002<\/p>\n\n\n\n \u5408\u8a00\u8449\u306f\u3001\u300c\u771f\u3093\u4e2d\u3072\u3063\u304f\u308a\u8fd4\u3057\u3066\u30d0\u30fc\u5206\u3051\u308b\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \u30c9\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247 \\(\\overline{A \\cup B}= \\overline{A} \\cap \\overline{B}\\) \\(n(A \\cup B)=n(A)+n(B)-n(A \\cap B)\\)<\/span><\/p>\n\n\n \uff12\u3064\u306e\u96c6\u5408\u306e\u5168\u4f53\u96c6\u5408\u306e\u8981\u7d20\u306e\u500b\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n \u5168\u4f53\u96c6\u5408\u306a\u306e\u3067\u3001\\(A \\cup B\\)\u306e\u8981\u7d20\u306e\u500b\u6570\u304c\u6c42\u307e\u308c\u3070\u30aa\u30c3\u30b1\u30fc\u3067\u3059\u3002<\/p>\n\n\n\n \u3053\u3053\u3067\u3001\\(n(A \\cup B)=n(A)+n(B)\\)\u3068\u3057\u305f\u3089\u3001\u9593\u9055\u3044\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u305d\u308c\u3060\u3068\u3001\u771f\u3093\u4e2d\u306e\u91cd\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u304c\uff12\u56de\u6570\u3048\u3089\u308c\u305f\u3053\u3068\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u306e\u3067\u3001\u96c6\u5408A,B\u306e\u5171\u901a\u90e8\u5206\u306e\u500b\u6570\u3092\u5f15\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n \uff12\u3064\u306e\u96c6\u5408\u306e\u5168\u4f53\u96c6\u5408\u306e\u500b\u6570\u3092\u6c42\u3081\u308b\u3068\u304d\u306f\u3001<\/p>\n\n\n\n \\(n(A \\cup B)=n(A)+n(B)-n(A \\cap B)\\)<\/span><\/p>\n\n\n\n \u3064\u304e\u306f\uff13\u3064\u306e\u96c6\u5408\u306e\u5168\u4f53\u96c6\u5408\u306e\u8981\u7d20\u306e\u500b\u6570\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u4e3b\u306a\u8003\u3048\u65b9\u306f\uff12\u3064\u306e\u6642\u3068\u5909\u308f\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n \u5168\u90e8\u8db3\u3057\u305f\u3060\u3051\u3060\u3068\u3001\u91cd\u8907\u3057\u3066\u6570\u3048\u3089\u308c\u3066\u3044\u308b\u90e8\u5206\u304c\u3042\u308b\u306e\u3067\u3001\u305d\u306e\u5206\u3092\u5f15\u304f\u4f5c\u6226\u3067\u3059\u3002<\/p>\n\n\n\n \u305d\u3053\u3067\u3001<\/p>\n\n\n\n \u3053\u3046\u306a\u3063\u305f\u3089\u3001\u9593\u9055\u3044\u3067\u3059\u3002<\/p>\n\n\n\n \u5b9f\u306f\u3001<\/p>\n\n\n\n \u3053\u306e\u307e\u307e\u3060\u3068\u3001\u771f\u3093\u4e2d\u3092\u5f15\u304d\u3059\u304e\u3066\u3044\u308b\u3093\u3067\u3059\u3002<\/p>\n\n\n\n \uff12\u3064\u306e\u96c6\u5408\u304c\u91cd\u306a\u3063\u305f\u90e8\u5206\u306f\uff11\u56de\u5f15\u3051\u3070\u3088\u3044\u3093\u3067\u3059\u304c\u3001<\/p>\n\n\n\n \u771f\u3093\u4e2d\u306f\uff13\u3064\u306e\u96c6\u5408\u304c\u91cd\u306a\u3063\u305f\u5f8c\u306b\u3001\uff13\u56de\u5f15\u304b\u308c\u3066\u3044\u308b\u306e\u3067\u3001\u3053\u306e\u307e\u307e\u3060\u3068\u771f\u3093\u4e2d\u306b\u7a74\u304c\u958b\u3044\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u3057\u305f\u304c\u3063\u3066\u3001\u6700\u5f8c\u306b\uff13\u96c6\u5408\u306e\u5171\u901a\u90e8\u5206\u3092\u52a0\u3048\u3066\u3042\u3052\u308b<\/span>\u3053\u3068\u3067\u3001\uff13\u96c6\u5408\u306e\u5168\u4f53\u96c6\u5408\u306e\u8981\u7d20\u306e\u500b\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u3067\u306f\u3001\u4eca\u65e5\u899a\u3048\u305f\u3053\u3068\u3092\u4f7f\u3063\u3066\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u89e3\u7b54<\/span><\/span><\/p>\n\n\n \uff11\uff0e\u56f3\u3092\u66f8\u304f\u3068\u308f\u304b\u308a\u3084\u3059\u3044\u3067\u3059\u3002 \uff12\uff0e\u3053\u308c\u306f\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u3044\uff13\u3064\u306e\u6cd5\u5247\u306e\uff11\u3064\u3067\u3059\u306d\u3002<\/p>\n\n\n\n \\(n(A \\cup B)=n(A)+n(B)-n(A \\cap B)\\)\u3067\u3057\u305f\u306e\u3067\u3001<\/p>\n\n\n\n \\(n(A \\cup B)=47+35-26=56\\)<\/p>\n\n\n\n \u7b54\u3048\u306f\u300156\u500b\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u6570\u5b66A\u306e\u96c6\u5408\u306e\u8a18\u53f7\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u3044\uff16\u3064\u306e\u8a18\u53f7\uff06\uff13\u500b\u306e\u6cd5\u5247\u3092\u307e\u3068\u3081\u3066\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u96c6\u5408\u306f\u8a18\u53f7\u306e\u610f\u5473\u3092\u899a\u3048\u3066\u304a\u3051\u3070\u3001\u70b9\u6570\u304c\u53d6\u308a\u3084\u3059\u3044\u5358\u5143\u306a\u306e\u3067\u3001\u4eca\u56de\u7d39\u4ecb\u3057\u305f\u3082\u306e\u306f\u3053\u306e\u6a5f\u4f1a\u306b\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002 \u3067\u306f\u3001\u3053\u3053\u307e\u3067\u8aad\u3093\u3067\u304f\u3060\u3055\u3063\u3066\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":" \u96c6\u5408\u306e\u8a18\u53f7\u3057\u3063\u304b\u308a\u899a\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u304b\uff1f \\(\\in\\)\u3068\u304b\u3001\\(\\subset\\)\u3068\u304b \u5f62\u4f3c\u3066\u308b\u3057\u3001\u899a\u3048\u3065\u3089\u3044\u3067\u3059\u3088\u306d\u3002 \u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u96c6\u5408\u306e\u8a18\u53f7\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u30446\u3064\u306e\u8a18\u53f7\u30683\u500b\u306e\u6cd5\u5247\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002 \u3053\u306e\u30da\u30fc\u30b8\u3092\u898b\u308c […]<\/p>\n","protected":false},"author":1,"featured_media":17715,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[15,223],"tags":[],"class_list":["post-1879","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-number","category-math-a"],"yoast_head":"\n\u96c6\u5408\u306e\u8a18\u53f7\uff16\u9078<\/h2>\n\n\n\n
\u96c6\u5408\u306e\u8a18\u53f7\uff11\u3000\u8981\u7d20<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\uff12\u3000\u90e8\u5206\u96c6\u5408<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
A{1,2,3,4,5,6,7},B{5,6,7}\u306e\u3068\u304d\u3001<\/p>\n\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\uff13\u3000\\(\\cap\\)\u3000\u304b\u3064<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\uff14\u3000\\(\\cup\\)\u3000\u307e\u305f\u306f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
\u30c0\u30b8\u30e3\u30ec\u304b\u3088\uff08\u7b11\uff09<\/p>\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\uff15\u3000\u7a7a\u96c6\u5408<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\uff16\u3000\u88dc\u96c6\u5408<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
\u30b7\u30fc\u30bf<\/span><\/div>\u96c6\u5408\u306e\u8a18\u53f7\u30003\u500b\u306e\u6cd5\u5247<\/h2>\n\n\n\n
\u96c6\u5408\u306e\u6cd5\u5247\u3000\u30c9\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247<\/h3>\n\n\n\n
\\(\\overline{A \\cap B}= \\overline{A} \\cup \\overline{B}\\)
\\(\\overline{A \\cup B}= \\overline{A} \\cap \\overline{B}\\)<\/p>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/p>\n\n\n\n\u96c6\u5408\u306e\u6cd5\u5247\u3000\uff12\u96c6\u5408\u306e\u548c<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u6cd5\u5247\u3000\uff13\u96c6\u5408\u306e\u548c<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
A{1,2,3,4},B{3,4,5,6,7}\u306e\u3068\u304d\u3001\u6b21\u306e\u96c6\u5408\u306e\u8981\u7d20\u3092\u6c42\u3081\u3088\u3002
(1)\u3000\\(A\\cap B\\)
(2)\u3000\\(\\overline{A \\cup B}\\)\uff12\uff0e\uff12\u3064\u306e\u96c6\u5408A,B\u304c\u3042\u308b\u3002
\u305d\u308c\u305e\u308c\u96c6\u5408\u306e\u500b\u6570\u304c\\(n(A)=47\\),\\(n(B)=35\\),\\(n(A\\cap B)=26\\)\u306e\u3068\u304d\u3001\u548c\u96c6\u5408\\(A\\cup B\\)\u306e\u8981\u7d20\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3002<\/div>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
(1)\u3000\\(A\\cap B=\\{3,4\\}\\)
(2)\u3000\\(\\overline{A \\cup B}=\\{8,9\\}\\)<\/p>\n\n\n\n\u96c6\u5408\u306e\u8a18\u53f7\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n
<\/th> \u540d\u79f0<\/span><\/th> \u610f\u5473<\/span><\/th><\/tr><\/thead> \\(a\\in A\\)<\/span><\/td> \u8981\u7d20<\/span><\/td> a\u306f\u96c6\u5408A\u306e\u8981\u7d20\u3067\u3042\u308b\u3002<\/span><\/td><\/tr> \\(B\\subset A\\)<\/span><\/td> \u90e8\u5206\u96c6\u5408<\/span><\/td> \u96c6\u5408B\u306f\u96c6\u5408A\u306b\u542b\u307e\u308c\u308b\u3002<\/span><\/td><\/tr> \\(A\\cap B\\)<\/span><\/td> \u5171\u901a\u90e8\u5206<\/span><\/td> \u96c6\u5408A\u306b\u3082\u96c6\u5408B\u306b\u3082\u5c5e\u3059\u308b\u96c6\u5408\u3002<\/span><\/td><\/tr> \\(A\\cup B\\)<\/span><\/td> \u5168\u4f53\u96c6\u5408<\/span><\/td> \u96c6\u5408A\u307e\u305f\u306f\u96c6\u5408B\u306b\u5c5e\u3059\u308b\u96c6\u5408\u3002<\/span><\/td><\/tr> \\( \\Phi \\)<\/span><\/td> \u7a7a\u96c6\u5408<\/span><\/td> \u8981\u7d20\u3092\uff11\u3064\u3082\u6301\u305f\u306a\u3044\u96c6\u5408\u3002<\/span><\/td><\/tr> \\(\\overline{A}\\)<\/span><\/td> \u88dc\u96c6\u5408<\/span><\/td> \u96c6\u5408A\u306b\u5c5e\u3055\u306a\u3044\u96c6\u5408\u5168\u4f53\u3002<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n \u96c6\u5408\u306e\u8a18\u53f7\u307e\u3068\u3081<\/h2>\n\n\n\n
\u4ed6\u306b\u3082\u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u3066\u3069\u3093\u3069\u3093\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u304f\u306e\u3067\u3001
\u304a\u6c17\u306b\u5165\u308a\u767b\u9332\u3057\u3066\u304a\u3044\u3066\u3082\u3089\u3048\u308b\u3068\u5b9a\u671f\u8a66\u9a13\u524d\u306b\u78ba\u8a8d\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n