{"id":173,"date":"2011-12-02T22:27:22","date_gmt":"2011-12-02T13:27:22","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=173"},"modified":"2021-03-24T08:13:18","modified_gmt":"2021-03-23T23:13:18","slug":"kyr200901","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr200901\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb\u4e592009\uff1a\u7b2c1\u554f"},"content":{"rendered":"
\n

\\(xyz\\) \u7a7a\u9593\u3067 O \\((0, 0, 0)\\) , A \\((3, 0, 0)\\) , B \\((3, 2, 0)\\) , C \\((0, 2, 0)\\) , D \\((0, 0, 4)\\) ,\r\nE \\((3, 0, 4)\\) , F \\((3, 2, 4)\\) , G \\((0, 2, 4)\\) \u3092\u9802\u70b9\u3068\u3059\u308b\u76f4\u65b9\u4f53 OABC-DEFG \u3092\u8003\u3048\u308b.\r\n\u8fba AE \u3092 \\(s : 1-s\\) \u306b\u5185\u5206\u3059\u308b\u70b9\u3092 P , \u8fba CG \u3092 \\(t : 1-t\\) \u306b\u5185\u5206\u3059\u308b\u70b9\u3092 Q \u3068\u304a\u304f.\r\n\u305f\u3060\u3057, \\(0 \\lt s \\lt 1\\) , \\(0 \\lt t \\lt 1\\) \u3068\u3059\u308b. D \u3092\u901a\u308a, O, P, Q \u3092\u542b\u3080\u5e73\u9762\u306b\u5782\u76f4\u306a\u76f4\u7dda\u304c\u7dda\u5206 AC \uff08\u4e21\u7aef\u3092\u542b\u3080\uff09\u3068\u4ea4\u308f\u308b\u3088\u3046\u306a \\(s , t\\) \u306e\u307f\u305f\u3059\u6761\u4ef6\u3092\u6c42\u3081\u3088.<\/p>\r\n

\r\n\r\n

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

D \u3092\u901a\u308a, \u5e73\u9762 OPQ \u306b\u5782\u76f4\u306a\u76f4\u7dda\u3092 \\(\\ell\\) \u3068\u3057, \\(\\ell\\) \u4e0a\u306e\u70b9\u3092 \\(( x, y, z )\\) \u3068\u304a\u304f.
\r\n\\(\\ell\\) \u306f \\(\\overrightarrow{\\text{OP}}\\) , \\(\\overrightarrow{\\text{OQ}}\\) \u3068\u5782\u76f4\u306a\u306e\u3067\r\n\\[\\begin{align}\r\n\\left( \\begin{array}{c} x \\\\ y \\\\ z-4 \\end{array} \\right) \\cdot \\left( \\begin{array}{c} 3 \\\\ 0 \\\\ 4s \\end{array} \\right) & = 3x+4s(z-4) = 0 \\quad ... [1] \\\\\r\n\\left( \\begin{array}{c} x \\\\ y \\\\ z-4 \\end{array} \\right) \\cdot \\left( \\begin{array}{c} 0 \\\\ 2 \\\\ 4t \\end{array} \\right) & = 2y+4t(z-4) = 0 \\quad ... [2]\r\n\\end{align}\\]\r\n\\(z=0\\) \u5e73\u9762\u3068\u306e\u4ea4\u70b9\u306f\r\n\\[\\begin{align}\r\n& \\left\\{ \\begin{array}{l} 3x-16s = 0 \\\\ 2y-16t = 0 \\end{array} \\right. \\\\\r\n& \\qquad \\text{\u2234} \\quad x = \\dfrac{16s}{3} , \\ y = 8t\r\n\\end{align}\\]\r\n\u3053\u308c\u304c\u7dda\u5206 AC\uff1a \\(\\dfrac{x}{3} +\\dfrac{y}{2}=1 \\ ( 0 \\leqq x \\leqq 3 )\\) \u4e0a\u306b\u3042\u308b\u6761\u4ef6\u304c, \u6c42\u3081\u308b\u6761\u4ef6\u306a\u306e\u3067\r\n\\[\\begin{align}\r\n\\dfrac{16s}{9} & +\\dfrac{8t}{2} = 1 \\ \\left( 0 \\leqq \\dfrac{16s}{3} \\leqq 3 \\right) \\\\\r\n\\text{\u2234} \\quad & \\underline{16s+36t = 9 \\ \\left( 0 \\leqq s \\leqq \\dfrac{9}{16} \\right)}\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\\(xyz\\) \u7a7a\u9593\u3067 O \\((0, 0, 0)\\) , A \\((3, 0, 0)\\) , B \\((3, 2, 0)\\) , C \\((0, 2, 0)\\) , D \\((0, 0, 4)\\) , E \\((3, … \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":[21],"tags":[140,15],"class_list":["post-173","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2009","tag-kyoto_r","tag-15"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/173","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=173"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/173\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}