{"id":20,"date":"2011-11-25T21:19:38","date_gmt":"2011-11-25T12:19:38","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=20"},"modified":"2021-03-23T17:58:03","modified_gmt":"2021-03-23T08:58:03","slug":"kyr201102","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201102\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2011\uff1a\u7b2c2\u554f"},"content":{"rendered":"
\n

\\(a , b , c\\) \u3092\u5b9f\u6570\u3068\u3057, O \u3092\u539f\u70b9\u3068\u3059\u308b\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3044\u3066,\r\n\u884c\u5217 \\(\\left( \\begin{array}{cc} a & 1 \\\\ b & c \\end{array} \\right)\\) \u306b\u3088\u3063\u3066\u8868\u3055\u308c\u308b \\(1\\) \u6b21\u5909\u63db\u3092 \\(T\\) \u3068\u3059\u308b. \u3053\u306e \\(1\\) \u6b21\u5909\u63db \\(T\\) \u304c \\(2\\) \u3064\u306e\u6761\u4ef6<\/p>\r\n

    \r\n

  1. (i)\u3000\u70b9 \\(( 1 , 2 )\\) \u3092\u70b9 \\(( 1 , 2 )\\) \u306b\u79fb\u3059.<\/p><\/li>\r\n

  2. (ii)\u3000\u70b9 \\(( 1 , 0 )\\) \u3068\u70b9 \\(( 0 , 1 )\\) \u304c \\(T\\) \u306b\u3088\u3063\u3066\u70b9 A, B \u306b\u305d\u308c\u305e\u308c\u79fb\u308b\u3068\u304d, \u25b3OAB \u306e\u9762\u7a4d\u304c \\(\\dfrac{1}{2}\\) \u3067\u3042\u308b.<\/p><\/li>\r\n<\/ol>\r\n

    \u3092\u6e80\u305f\u3059\u3068\u304d, \\(a , b , c\\) \u3092\u6c42\u3081\u3088.<\/p>\r\n

    \r\n\r\n

    \u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n

    \u6761\u4ef6 (i) \u3088\u308a\r\n\\[\r\n\\left( \\begin{array}{cc} a & 1 \\\\ b & c \\end{array} \\right) \\left( \\begin{array}{c} 1 \\\\ 2 \\end{array} \\right) = \\left( \\begin{array}{c} 1 \\\\ 2 \\end{array} \\right)\r\n\\]\r\n\u306a\u306e\u3067\r\n\\[\\begin{align}\r\na+2 = 1 & , \\ b+2c = 2 \\\\\r\n\\text{\u2234} \\quad a = -1 & , \\ b = 2( 1-c ) \\quad ... [1]\r\n\\end{align}\\]\r\n\u6761\u4ef6 (ii) \u306b\u3064\u3044\u3066\r\n\\[\\begin{align}\r\n\\left( \\begin{array}{cc} -1 & 1 \\\\ 2( 1-c ) & c \\end{array} \\right) \\left( \\begin{array}{c} 1 \\\\ 0 \\end{array} \\right) & = \\left( \\begin{array}{c} -1 \\\\ 2( 1-c ) \\end{array} \\right) \\\\\r\n\\left( \\begin{array}{cc} -1 & 1 \\\\ 2( 1-c ) & c \\end{array} \\right) \\left( \\begin{array}{c} 0 \\\\ 1 \\end{array} \\right) & = \\left( \\begin{array}{c} 1 \\\\ c \\end{array} \\right)\r\n\\end{align}\\]\r\n\u306a\u306e\u3067\r\n\\[\\begin{align}\r\n\\dfrac{1}{2} \\left| -1 \\cdot c -2( 1-c ) \\cdot 1 \\right| & = \\dfrac{1}{2} \\\\\r\n| c-2 | & = 1 \\\\\r\n\\text{\u2234} \\quad c & = 1 , 3\r\n\\end{align}\\]\r\n\u3053\u308c\u3092 [1] \u306b\u4ee3\u5165\u3059\u308c\u3070\u6c42\u3081\u308b\u89e3\u306f\r\n\\[\r\n( a , b , c ) = \\underline{(-1 , 0 , 1 ) , ( -1 , -4 , 3 )}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(a , b , c\\) \u3092\u5b9f\u6570\u3068\u3057, O \u3092\u539f\u70b9\u3068\u3059\u308b\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3044\u3066, \u884c\u5217 \\(\\left( \\begin{array}{cc} a & 1 \\\\ b & c \\end{array} \\right)\\) \u306b\u3088\u3063\u3066 … \u7d9a\u304d\u3092\u8aad\u3080 →<\/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":[23],"tags":[140,13],"class_list":["post-20","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2011","tag-kyoto_r","tag-13"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/20","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=20"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/20\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=20"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=20"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=20"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}