{"id":1941,"date":"2021-10-26T23:14:46","date_gmt":"2021-10-26T14:14:46","guid":{"rendered":"https:\/\/www.roundown.net\/nyushi\/?p=1941"},"modified":"2021-10-26T23:14:46","modified_gmt":"2021-10-26T14:14:46","slug":"tkb201602","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb201602\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2016\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>A , B , C \u306e \\(3\\) \u3064\u306e\u30c1\u30fc\u30e0\u304c\u53c2\u52a0\u3059\u308b\u91ce\u7403\u306e\u5927\u4f1a\u3092\u958b\u50ac\u3059\u308b.\r\n\u4ee5\u4e0b\u306e\u65b9\u5f0f\u3067\u8a66\u5408\u3092\u884c\u3044, \\(2\\) \u9023\u52dd\u3057\u305f\u30c1\u30fc\u30e0\u304c\u51fa\u305f\u6642\u70b9\u3067, \u305d\u306e\u30c1\u30fc\u30e0\u3092\u512a\u52dd\u30c1\u30fc\u30e0\u3068\u3057\u3066\u5927\u4f1a\u306f\u7d42\u4e86\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(a)<\/strong>\u3000\\(1\\) \u8a66\u5408\u76ee\u3067 A \u3068 B \u304c\u5bfe\u6226\u3059\u308b.<\/p><\/li>\r\n<li><p><strong>(b)<\/strong>\u3000\\(2\\) \u8a66\u5408\u76ee\u3067, \\(1\\) \u8a66\u5408\u76ee\u306e\u52dd\u8005\u3068, \\(1\\) \u8a66\u5408\u76ee\u3067\u5f85\u6a5f\u3057\u3066\u3044\u305f C \u304c\u5bfe\u6226\u3059\u308b.<\/p><\/li>\r\n<li><p><strong>(c)<\/strong>\u3000\\(k\\) \u8a66\u5408\u76ee\u3067\u512a\u52dd\u30c1\u30fc\u30e0\u304c\u6c7a\u307e\u3089\u306a\u3044\u5834\u5408\u306f, \\(k\\) \u8a66\u5408\u76ee\u306e\u52dd\u8005\u3068 \\(k\\) \u8a66\u5408\u76ee\u3067\u5f85\u6a5f\u3057\u3066\u3044\u305f\u30c1\u30fc\u30e0\u304c \\(k+1\\) \u8a66\u5408\u76ee\u3067\u5bfe\u6226\u3059\u308b. \u3053\u3053\u3067 \\(k\\) \u306f \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b.<\/p><\/li>\r\n<\/ol>\r\n<p>\u306a\u304a, \u3059\u3079\u3066\u306e\u5bfe\u6226\u306b\u304a\u3044\u3066, \u305d\u308c\u305e\u308c\u306e\u30c1\u30fc\u30e0\u304c\u52dd\u3064\u78ba\u7387\u306f \\(\\dfrac{1}{2}\\) \u3067, \u5f15\u304d\u5206\u3051\u306f\u306a\u3044\u3082\u306e\u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\u3061\u3087\u3046\u3069 \\(5\\) \u8a66\u5408\u76ee\u3067 A \u304c\u512a\u52dd\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(n\\) \u3092 \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \u3061\u3087\u3046\u3069 \\(n\\) \u8a66\u5408\u76ee\u3067 A \u304c\u512a\u52dd\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(m\\) \u3092\u6b63\u306e\u6574\u6570\u3068\u3059\u308b. \u7dcf\u8a66\u5408\u6570\u304c \\(3m\\) \u56de\u4ee5\u4e0b\u3067 A \u304c\u512a\u52dd\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>A \u304c\u512a\u52dd\u3059\u308b\u306e\u306f, \u6b21\u306e \\(2\\) \u901a\u308a\u304c\u8003\u3048\u3089\u308c\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\u4ee5\u4e0b\u306e \\(3\\) \u8a66\u5408\u306e\u30bb\u30c3\u30c8\u304c \\(0\\) \u56de\u4ee5\u4e0a\u7e70\u308a\u8fd4\u3055\u308c\u305f\u5f8c\u306b, A \u304c B , C \u306b\u9023\u52dd\u3059\u308b.\r\n<ul>\r\n<li><p>A \u5bfe B \u3067 A \u304c\u52dd\u3064<\/p><\/li>\r\n<li><p>A \u5bfe C \u3067 C \u304c\u52dd\u3064<\/p><\/li>\r\n<li><p>B \u5bfe C \u3067 B \u304c\u52dd\u3064<\/p><\/li>\r\n<\/ul>\r\n<\/p><\/li>\r\n<li><p><strong>2*<\/strong>\u3000\u4ee5\u4e0b\u306e \\(3\\) \u8a66\u5408\u306e\u30bb\u30c3\u30c8\u304c \\(1\\) \u56de\u4ee5\u4e0a\u7e70\u308a\u8fd4\u3055\u308c\u305f\u5f8c\u306b, A \u304c B \u306b\u52dd\u3064.\r\n<ul>\r\n<li><p>A \u5bfe B \u3067 B \u304c\u52dd\u3064<\/p><\/li>\r\n<li><p>B \u5bfe C \u3067 C \u304c\u52dd\u3064<\/p><\/li>\r\n<li><p>A \u5bfe C \u3067 A \u304c\u52dd\u3064<\/p><\/li>\r\n<\/ul>\r\n<\/p><\/li>\r\n<\/ol>\r\n<p>\\(5\\) \u8a66\u5408\u76ee\u306b A \u304c\u512a\u52dd\u3059\u308b\u306e\u306f, <strong>1*<\/strong> \u306e\u5834\u5408\u306b\u5f53\u305f\u308a, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\dfrac{1}{8} \\cdot \\dfrac{1}{4} = \\underline{\\dfrac{1}{32}}\r\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p><strong>1*<\/strong> \u306e\u5834\u5408, A \u304c \\(n = 3m-1 \\ ( m \\geqq 1  )\\) \u8a66\u5408\u76ee\u3067\u512a\u52dd\u3057, \u305d\u306e\u78ba\u7387\u306f\r\n\\[\r\n\\left( \\dfrac{1}{8} \\right)^{m-1} \\cdot \\dfrac{1}{4} = \\left( \\dfrac{1}{2} \\right)^{3m-1} = \\left( \\dfrac{1}{2} \\right)^n\r\n\\]\r\n<strong>2*<\/strong> \u306e\u5834\u5408, A \u304c \\(n = 3m+1 \\ ( m \\geqq 1  )\\) \u8a66\u5408\u76ee\u3067\u512a\u52dd\u3057, \u305d\u306e\u78ba\u7387\u306f\r\n\\[\r\n\\left( \\dfrac{1}{8} \\right)^m \\cdot \\dfrac{1}{2} = \\left( \\dfrac{1}{2} \\right)^{3m+1} = \\left( \\dfrac{1}{2} \\right)^n\r\n\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} 0 & ( \\ n \\ \\text{\u304c} \\ 3 \\ \\text{\u306e\u500d\u6570\u306e\u3068\u304d} \\ ) \\\\ \\left( \\dfrac{1}{2} \\right)^n & ( \\ n \\ \\text{\u304c} \\ 3 \\ \\text{\u306e\u500d\u6570\u3067\u306a\u3044\u3068\u304d} \\ ) \\end{array} \\right.}\r\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p><strong>(2)<\/strong> \u306e\u7d50\u679c\u304b\u3089, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\\begin{align}\r\n& \\textstyle\\sum\\limits _ {k=2}^{3m} \\left( \\dfrac{1}{2} \\right)^k -\\textstyle\\sum\\limits _ {k=1}^{m} \\left( \\dfrac{1}{2} \\right)^{3k} \\\\\r\n& \\quad = \\dfrac{1}{2} \\cdot \\dfrac{1 -\\left( \\dfrac{1}{2} \\right)^{3m}}{1 -\\dfrac{1}{2}} -\\dfrac{1}{2} -\\dfrac{1}{8} \\cdot \\dfrac{1 -\\left( \\dfrac{1}{8} \\right)^m}{1 -\\dfrac{1}{8}} \\\\\r\n& \\quad = \\dfrac{1}{2} -\\left( \\dfrac{1}{8} \\right)^m -\\dfrac{1}{7} \\left\\{ 1 -\\left( \\dfrac{1}{8} \\right)^m \\right\\} \\\\\r\n& \\quad = \\underline{\\dfrac{5}{14} -\\dfrac{6}{7} \\left( \\dfrac{1}{8} \\right)^m}\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"A , B , C \u306e \\(3\\) \u3064\u306e\u30c1\u30fc\u30e0\u304c\u53c2\u52a0\u3059\u308b\u91ce\u7403\u306e\u5927\u4f1a\u3092\u958b\u50ac\u3059\u308b. \u4ee5\u4e0b\u306e\u65b9\u5f0f\u3067\u8a66\u5408\u3092\u884c\u3044, \\(2\\) \u9023\u52dd\u3057\u305f\u30c1\u30fc\u30e0\u304c\u51fa\u305f\u6642\u70b9\u3067, \u305d\u306e\u30c1\u30fc\u30e0\u3092\u512a\u52dd\u30c1\u30fc\u30e0\u3068\u3057\u3066\u5927\u4f1a\u306f\u7d42\u4e86\u3059\u308b. (a)\u3000\\(1\\) \u8a66\u5408\u76ee &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkb201602\/\">\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":[160],"tags":[149,162],"class_list":["post-1941","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2016","tag-tokyo_b","tag-162"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1941","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=1941"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1941\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1941"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1941"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}