{"id":521,"date":"2012-12-12T20:37:25","date_gmt":"2012-12-12T11:37:25","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=521"},"modified":"2021-09-29T20:14:01","modified_gmt":"2021-09-29T11:14:01","slug":"thr200804","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/thr200804\/","title":{"rendered":"\u6771\u5317\u5927\u7406\u7cfb2008\uff1a\u7b2c4\u554f"},"content":{"rendered":"<hr \/>\n<p>\u70b9 P \u304c\u6b21\u306e\u30eb\u30fc\u30eb (i) , (ii) \u306b\u5f93\u3063\u3066\u6570\u76f4\u7dda\u4e0a\u3092\u79fb\u52d5\u3059\u308b\u3082\u306e\u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(i)<\/strong>\u3000\\(1, 2, 3, 4, 5, 6\\) \u306e\u76ee\u304c\u540c\u3058\u5272\u5408\u3067\u51fa\u308b\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308a, \u51fa\u305f\u76ee\u306e\u6570\u3092 \\(k\\) \u3068\u3059\u308b. P \u306e\u5ea7\u6a19 \\(a\\) \u306b\u3064\u3044\u3066, \\(a \\gt 0\\) \u306a\u3089\u3070\u5ea7\u6a19 \\(a-k\\) \u306e\u70b9\u3078\u79fb\u52d5\u3057, \\(a \\lt 0\\) \u306a\u3089\u3070\u5ea7\u6a19 \\(a+k\\) \u306e\u70b9\u3078\u79fb\u52d5\u3059\u308b.<\/p><\/li>\r\n<li><p><strong>(ii)<\/strong>\u3000\u539f\u70b9\u306b\u79fb\u52d5\u3057\u305f\u3089\u7d42\u4e86\u3057, \u305d\u3046\u3067\u306a\u3051\u308c\u3070 (i) \u3092\u7e70\u308a\u8fd4\u3059.<\/p><\/li>\r\n<\/ol>\r\n<p>\u3053\u306e\u3068\u304d, \u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000P \u306e\u5ea7\u6a19\u304c \\(1, 2, \\cdots , 6\\) \u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308b\u3068\u304d, \u3061\u3087\u3046\u3069 \\(3\\) \u56de\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u3066\u539f\u70b9\u3067\u7d42\u4e86\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000P \u306e\u5ea7\u6a19\u304c \\(1, 2, \\cdots , 6\\) \u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308b\u3068\u304d, \u3061\u3087\u3046\u3069 \\(m\\) \u56de\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u3066\u539f\u70b9\u3067\u7d42\u4e86\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000P \u306e\u5ea7\u6a19\u304c \\(8\\) \u3067\u3042\u308b\u3068\u304d, \u3061\u3087\u3046\u3069 \\(n\\) \u56de\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u3066\u539f\u70b9\u3067\u7d42\u4e86\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>P \u306e\u5ea7\u6a19\u3092 \\(p\\) \u3068\u8868\u3059.<br \/>\r\n\\(1 \\leqq |p| \\leqq 6\\) \u306e\u3068\u304d<\/p>\r\n<ul>\r\n<li><p>\\(k = |p|\\) \u3068\u306a\u308c\u3070\u7d42\u4e86\u3059\u308b.<\/p><\/li>\r\n<li><p>\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u306f, \\(1 \\leqq |p| \\leqq 5\\) \u306e\u70b9\u306b\u79fb\u52d5\u3059\u308b.<\/p><\/li>\r\n<\/ul>\r\n<p>\u3088\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\left( \\dfrac{5}{6} \\right)^2 \\dfrac{1}{6} =\\underline{\\dfrac{25}{216}}\r\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p><strong>(1)<\/strong> \u3068\u540c\u69d8\u306b\u8003\u3048\u308c\u3070\u3088\u3044\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\left( \\dfrac{5}{6} \\right)^{m-1} \\dfrac{1}{6} =\\underline{\\dfrac{5^{m-1}}{6^m}}\r\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\\(n = 1\\) \u306e\u3068\u304d, \u7d42\u4e86\u3059\u308b\u3053\u3068\u306f\u306a\u3044.<\/p><\/li>\r\n<li><p><strong>2*<\/strong>\u3000\\(n = 2\\) \u306e\u3068\u304d<br \/>\r\n\\(1\\) \u56de\u76ee\u306b \\(2\\) \uff5e \\(6\\) \u304c\u51fa\u3066, \\(2\\) \u56de\u76ee\u306b \\(p\\) \u304c\u51fa\u308c\u3070\u3088\u3044\u306e\u3067\r\n\\[\r\n\\dfrac{5}{6} \\cdot \\dfrac{1}{6} = \\dfrac{5}{36}\r\n\\]<\/li>\r\n<li><p><strong>3*<\/strong>\u3000\\(n \\geqq 3\\) \u306e\u3068\u304d<br \/>\r\n\\(2\\) \u56de\u76ee\u307e\u3067\u306b\u7d42\u4e86\u3057\u306a\u3044\u5834\u5408\u306f, \\(n-2\\) \u56de\u76ee\u3067\u7d42\u4e86\u3059\u308c\u3070\u3088\u3044\u306e\u3067, <strong>(2)<\/strong> \u306e\u7d50\u679c\u3092\u7528\u3044\u3066\r\n\\[\r\n\\left( 1 -\\dfrac{5}{36} \\right) \\cdot \\dfrac{5^{n-3}}{6^{n-2}} = \\dfrac{31 \\cdot 5^{n-3}}{6^n}\r\n\\]<\/li>\r\n<\/ol>\r\n<p>\u4ee5\u4e0a\u3088\u308a\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} 0 & ( \\ n=1 \\text{\u306e\u3068\u304d} ) \\\\ \\dfrac{5}{36} & ( \\ n=2 \\text{\u306e\u3068\u304d} ) \\\\ \\dfrac{31 \\cdot 5^{n-1}}{6^n} & ( \\ n \\geqq 3 \\text{\u306e\u3068\u304d} ) \\\\ \\end{array} \\right.}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u70b9 P \u304c\u6b21\u306e\u30eb\u30fc\u30eb (i) , (ii) \u306b\u5f93\u3063\u3066\u6570\u76f4\u7dda\u4e0a\u3092\u79fb\u52d5\u3059\u308b\u3082\u306e\u3068\u3059\u308b. (i)\u3000\\(1, 2, 3, 4, 5, 6\\) \u306e\u76ee\u304c\u540c\u3058\u5272\u5408\u3067\u51fa\u308b\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308a, \u51fa\u305f\u76ee\u306e\u6570\u3092 \\(k\\) \u3068\u3059\u308b. P \u306e\u5ea7\u6a19  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/thr200804\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[76],"tags":[148,16],"class_list":["post-521","post","type-post","status-publish","format-standard","hentry","category-tohoku_r_2008","tag-tohoku_r","tag-16"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/521","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=521"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/521\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=521"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=521"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=521"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}