{"id":1293,"date":"2015-10-11T21:15:19","date_gmt":"2015-10-11T12:15:19","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1293"},"modified":"2021-09-29T22:39:50","modified_gmt":"2021-09-29T13:39:50","slug":"tbr201501","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tbr201501\/","title":{"rendered":"\u7b51\u6ce2\u5927\u7406\u7cfb2015\uff1a\u7b2c1\u554f"},"content":{"rendered":"<hr \/>\n<p>\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088.<\/p>\r\n<ol>\r\n<li><strong>(1)<\/strong>\u3000\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3044\u3066, \u6b21\u306e\u9023\u7acb\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3092\u56f3\u793a\u305b\u3088.\r\n\\[\r\n\\left\\{ \\begin{array}{l} x^2 +y \\leqq 1 \\\\ x-y \\leqq 1 \\end{array} \\right.\r\n\\]<\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(2\\) \u3064\u306e\u653e\u7269\u7dda \\(y = x^2 -2x +k\\) \u3068 \\(y = -x^2 +1\\) \u304c\u5171\u6709\u70b9\u3092\u3082\u3064\u3088\u3046\u306a\u5b9f\u6570 \\(k\\) \u306e\u5024\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(x , y\\) \u304c <strong>(1)<\/strong> \u306e\u9023\u7acb\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3059\u3068\u304d, \\(y -x^2 +2x\\) \u306e\u6700\u5927\u5024\u304a\u3088\u3073\u6700\u5c0f\u5024\u3068, \u305d\u308c\u3089\u3092\u4e0e\u3048\u308b \\(x , y\\) \u306e\u5024\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>\u6761\u4ef6\u3088\u308a\r\n\\[\r\nx-1 \\lt y \\lt 1-x^2\r\n\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u9818\u57df\u306f\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\/tbr20150101.svg\" alt=\"tbr20150101\" class=\"aligncenter size-full\" \/>\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>\\(2\\) \u5f0f\u304b\u3089 \\(y\\) \u3092\u6d88\u53bb\u3059\u308b\u3068\r\n\\[\\begin{align}\r\nx^2 -2x +k = -x^2 & +1 \\\\\r\n\\text{\u2234} \\quad 2x^2 -2x +k -1 & = 0 \\quad ... [1]\r\n\\end{align}\\]\r\n\u3053\u306e\u65b9\u7a0b\u5f0f\u304c\u5b9f\u6570\u89e3\u3092\u3082\u3066\u3070\u3088\u3044\u306e\u3067, \u5224\u5225\u5f0f \\(D\\) \u306b\u3064\u3044\u3066\r\n\\[\\begin{align}\r\n\\dfrac{D}{4} = 1 -2 (k-1) & \\geqq 0 \\\\\r\n\\text{\u2234} \\quad \\underline{k \\leqq \\dfrac{3}{2}} &\r\n\\end{align}\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p>\\(y -x^2 +2x = k\\) \u3068\u304a\u3044\u3066, \u3053\u308c\u3092\u5909\u5f62\u3059\u308b\u3068\r\n\\[\r\ny = (x-1)^2 +k-1 \\quad ... [2]\r\n\\]\r\n\u3057\u305f\u304c\u3063\u3066, [2] \u306e\u793a\u3059\u653e\u7269\u7dda\u304c, <strong>(1)<\/strong> \u3067\u793a\u3057\u305f\u9818\u57df\u3068\u5171\u6709\u70b9\u3092\u3082\u3064\u3068\u304d\u306e, \\(k\\) \u306e\u6700\u5927, \u6700\u5c0f\u306b\u3064\u3044\u3066\u8003\u3048\u308c\u3070\u3088\u3044.<br \/>\r\n[2] \u304c, \u4e0b\u306b\u51f8\u3067\u9802\u70b9\u304c \\(( 1 , k-1 )\\) \u3067\u3042\u308b\u3053\u3068\u306b\u7740\u76ee\u3059\u308c\u3070,<\/p>\r\n<img decoding=\"async\" src=\"\/\/www.roundown.net\/nyushi\/wp-content\/uploads\/tbr20150102.svg\" alt=\"tbr20150102\" class=\"aligncenter size-full\" \/>\r\n<ul>\r\n<li><p>\\(k\\) \u304c\u6700\u5927\u306b\u306a\u308b\u306e\u306f, [2] \u304c \\(y = -x^2 +1\\) \u3068\u63a5\u3059\u308b\u3068\u304d.<br \/>\r\n\u3053\u308c\u306f, <strong>(2)<\/strong> \u306e\u7d50\u679c\u3088\u308a \\(k = \\dfrac{3}{2}\\) \u306e\u3068\u304d\u3067, \u3053\u306e\u3068\u304d, \u65b9\u7a0b\u5f0f [1] \u306e\u89e3\u306f\r\n\\[\\begin{align}\r\n2x^2 -2x +\\dfrac{1}{2} & = 0 \\\\\r\n\\text{\u2234} \\quad x = \\dfrac{1}{2} &\r\n\\end{align}\\]\r\n\u3055\u3089\u306b\r\n\\[\r\ny = 1 -\\left( \\dfrac{1}{2} \\right)^2 = \\dfrac{3}{4}\r\n\\]<\/li>\r\n<li><p>\\(k\\) \u304c\u6700\u5c0f\u306b\u306a\u308b\u306e\u306f, [2] \u304c\u70b9 \\(( -2 , -3 )\\) \u3092\u901a\u308b\u3068\u304d.<br \/>\r\n\u3053\u306e\u3068\u304d\r\n\\[\r\nk = -3 -(-2)^2 +2(-2) = -11\r\n\\]<\/li>\r\n<\/ul>\r\n<p>\u4ee5\u4e0a\u3088\u308a, \u6c42\u3081\u308b\u6700\u5927\u5024, \u6700\u5c0f\u5024\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} \\text{\u6700\u5927\u5024} : \\ \\dfrac{3}{2} & \\left( \\ x = \\dfrac{1}{2} , \\ y = \\dfrac{3}{4} \\ \\text{\u306e\u3068\u304d} \\right) \\\\ \\text{\u6700\u5c0f\u5024} : \\ -11 & ( \\ x = -2 , \\ y = -3 \\ \\text{\u306e\u3068\u304d} ) \\end{array} \\right. \\quad}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088. (1)\u3000\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3044\u3066, \u6b21\u306e\u9023\u7acb\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3092\u56f3\u793a\u305b\u3088. \\[ \\left\\{ \\begin{array}{l} x^2 +y \\leqq 1 \\\\ x-y \\leqq 1 \\end{arr &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tbr201501\/\">\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":[132],"tags":[144,137],"class_list":["post-1293","post","type-post","status-publish","format-standard","hentry","category-tsukuba_r_2015","tag-tsukuba_r","tag-137"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1293","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=1293"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1293\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}