{"id":74,"date":"2011-11-26T22:43:20","date_gmt":"2011-11-26T13:43:20","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=74"},"modified":"2021-09-30T09:55:36","modified_gmt":"2021-09-30T00:55:36","slug":"kbr201101","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kbr201101\/","title":{"rendered":"\u7b51\u6ce2\u5927\u7406\u7cfb2011\uff1a\u7b2c1\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(O\\) \u3092\u539f\u70b9\u3068\u3059\u308b \\(xy\\) \u5e73\u9762\u306b\u304a\u3044\u3066, \u76f4\u7dda \\(y=1\\) \u306e \\(\\big| x \\big| \\geqq 1\\) \u3092\u6e80\u305f\u3059\u90e8\u5206\u3092 \\(C\\) \u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(C\\) \u4e0a\u306b\u70b9 \\(A ( t , 1 )\\) \u3092\u3068\u308b\u3068\u304d, \u7dda\u5206 \\(OA\\) \u306e\u5782\u76f4\u4e8c\u7b49\u5206\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\u70b9 \\(A\\) \u304c \\(C\\) \u5168\u4f53\u3092\u52d5\u304f\u3068\u304d, \u7dda\u5206 \\(OA\\) \u306e\u5782\u76f4\u4e8c\u7b49\u5206\u7dda\u304c\u901a\u904e\u3059\u308b\u7bc4\u56f2\u3092\u6c42\u3081, \u305d\u308c\u3092\u56f3\u793a\u305b\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>\u7dda\u5206 \\(OA\\) \u306e\u4e2d\u70b9\u306f, \\(\\left( \\dfrac{t}{2} , \\dfrac{1}{2} \\right)\\) .<br \/>\r\n\u6c42\u3081\u308b\u76f4\u7dda\u306f, \u3053\u306e\u70b9\u3092\u901a\u308a, \\(OA\\) \u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb \\(\\left( \\begin{array}{c} t \\\\ 1 \\end{array} \\right)\\) \u3068\u5782\u76f4\u306a\u306e\u3067\r\n\\[\\begin{gather}\r\nt \\cdot \\left( x -\\dfrac{t}{2} \\right) -1 \\cdot \\left( y -\\dfrac{1}{2} \\right) = 0 \\quad ... [1] \\\\\r\n\\underline{2tx -2y -t^2 +1 =0}\r\n\\end{gather}\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n[1] \u3092 \\(y\\) \u306b\u3064\u3044\u3066\u89e3\u304f\u3068\r\n\\[\\begin{align}\r\ny & = -\\dfrac{t^2}{2} +xt +\\dfrac{1}{2} \\\\\r\n& = -\\dfrac{1}{2}(t-x)^2 +\\dfrac{x^2}{2} -\\dfrac{1}{2}\r\n\\end{align}\\]\r\n\u3053\u308c\u3092 \\(f(t)\\) \u3068\u304a\u304f\u3068, \\(\\big| t \\big| \\geqq 1\\) \u306b\u304a\u3044\u3066 \\(f(t)\\) \u306e\u53d6\u308a\u3046\u308b\u6700\u5927\u5024\u306e\u5019\u88dc\u306f\r\n\\[\r\nf(-1) = -x , \\ f(1) = x\r\n\\]\r\n\u307e\u305f, \u6700\u5c0f\u5024\u306e\u5019\u88dc\u306f\r\n\\[\\begin{align}\r\nf(-1) & = -x , \\ f(1) = x , \\\\\r\nf(x) & = -\\dfrac{x^2}{2} -\\dfrac{1}{2} \\quad \\left( \\text{\u305f\u3060\u3057} \\ \\big| x \\big| \\geqq 1 \\text{\u306e\u3068\u304d\u306b\u9650\u308b} \\right)\r\n\\end{align}\\]\r\n\u4ee5\u4e0a\u306e\u5927\u5c0f\u3092\u6bd4\u8f03\u3059\u308c\u3070, \u6c42\u3081\u308b\u9818\u57df\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} -\\dfrac{x^2}{2} -\\dfrac{1}{2} \\leqq y \\leqq -x & ( x \\leqq -1 \\text{\u306e\u3068\u304d} ) \\\\ x \\leqq y \\leqq -x & ( -1 \\lt x \\leqq 0 \\text{\u306e\u3068\u304d} ) \\\\ -x \\leqq y \\leqq x & ( 0 \\lt x \\leqq 1 \\text{\u306e\u3068\u304d} ) \\\\ -\\dfrac{x^2}{2} -\\dfrac{1}{2} \\leqq y \\leqq x & ( x \\gt 1 \\text{\u306e\u3068\u304d} ) \\end{array} \\right.}\r\n\\]\r\n\u3067\u3042\u308a, \u3053\u308c\u3092\u56f3\u793a\u3059\u308b\u3068\u4e0b\u56f3\u659c\u7dda\u90e8\uff08\u5883\u754c\u3092\u542b\u3080\uff09.<\/p>\r\n<img decoding=\"async\" src=\"\/\/www.roundown.net\/nyushi\/wp-content\/uploads\/tsukuba_2011_01_01.png\" alt=\"\" title=\"tsukuba_2011_01_01\" class=\"aligncenter size-full\" \/>\r\n","protected":false},"excerpt":{"rendered":"\\(O\\) \u3092\u539f\u70b9\u3068\u3059\u308b \\(xy\\) \u5e73\u9762\u306b\u304a\u3044\u3066, \u76f4\u7dda \\(y=1\\) \u306e \\(\\big| x \\big| \\geqq 1\\) \u3092\u6e80\u305f\u3059\u90e8\u5206\u3092 \\(C\\) \u3068\u3059\u308b. (1)\u3000\\(C\\) \u4e0a\u306b\u70b9 \\(A ( t ,  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/kbr201101\/\">\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":[41],"tags":[144,13],"class_list":["post-74","post","type-post","status-publish","format-standard","hentry","category-tsukuba_r_2011","tag-tsukuba_r","tag-13"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/74","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=74"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/74\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}