{"id":1120,"date":"2015-06-21T22:55:44","date_gmt":"2015-06-21T13:55:44","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1120"},"modified":"2021-09-09T06:34:45","modified_gmt":"2021-09-08T21:34:45","slug":"osr201401","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201401\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2014\uff1a\u7b2c1\u554f"},"content":{"rendered":"
\n

\u5b9f\u6570 \\(a , b , c , d , e\\) \u306b\u5bfe\u3057\u3066, \u5ea7\u6a19\u5e73\u9762\u4e0a\u306e\u70b9 A \\((a,b)\\) , B \\((c,d)\\) , C \\((e,0)\\) \u3092\u3068\u308b. \u305f\u3060\u3057\u70b9 A \u3068\u70b9 B \u306f\u3069\u3061\u3089\u3082\u539f\u70b9O \\((0,0)\\) \u3068\u306f\u7570\u306a\u308b\u70b9\u3068\u3059\u308b. \u3053\u306e\u3068\u304d, \u5b9f\u6570 \\(s , t\\) \u3067\r\n\\[\r\ns \\overrightarrow{\\text{OA}} +t \\overrightarrow{\\text{OB}} = \\overrightarrow{\\text{OC}}\r\n\\]\r\n\u3092\u6e80\u305f\u3059\u3082\u306e\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u306e, \\(a , b , c , d , e\\) \u306b\u3064\u3044\u3066\u306e\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u3092\u6c42\u3081\u3088.<\/p>\r\n

\r\n\r\n

\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n

\u6761\u4ef6\u3088\u308a\r\n\\[\r\ns \\left( \\begin{array}{c} a \\\\ b \\end{array} \\right) + t \\left( \\begin{array}{c} c \\\\ d \\end{array} \\right) = \\left( \\begin{array}{c} e \\\\ 0 \\end{array} \\right) \\\\\r\n\\text{\u2234} \\quad \\left\\{ \\begin{array}{ll} as+ct = e & \\quad ... [1] \\\\ bs+dt = 0 & \\quad ... [2] \\end{array} \\right. \\ .\r\n\\]\r\n\u306a\u306e\u3067, [1] [2] \u3092\u307f\u305f\u3059 \\(s , t\\) \u304c\u5b58\u5728\u3059\u308b\u6761\u4ef6\u3092\u6c42\u3081\u308c\u3070\u3088\u3044.
\r\n\\([1] \\times d - [2] \\times c\\) \u3088\u308a\r\n\\[\r\n( ad -bc ) s = de \\quad ... [3] \\ .\r\n\\]\r\n\\([1] \\times b - [2] \\times a\\) \u3088\u308a\r\n\\[\r\n-( ad -bc ) t = be \\quad ... [4] \\ .\r\n\\]\r\n

    \r\n

  1. 1*<\/strong>\u3000\\(ad -bc \\neq 0\\) \u306e\u3068\u304d
    \r\n[3] [4] \u3088\u308a\r\n\\[\r\ns = \\dfrac{de}{ad -bc} , \\quad t = -\\dfrac{be}{ad -bc} \\ .\r\n\\]\r\n\u3086\u3048\u306b, \u5b9f\u6570 \\(s , t\\) \u306f\u5b58\u5728\u3059\u308b.<\/p><\/li>\r\n

  2. 2*<\/strong>\u3000\\(ad -bc = 0 \\quad ... [5]\\) \u306e\u3068\u304d
    \r\n[3] [4] \u3088\u308a\r\n\\[\r\nde = be = 0 \\quad ... [6] \\ .\r\n\\]\r\n

      \r\n

    1. (\u30a2)<\/strong>\u3000\\(e \\neq 0\\) \u306e\u3068\u304d
      \r\n[6] \u3088\u308a\r\n\\[\r\nb = d = 0 \\ .\r\n\\]\r\n\u3053\u306e\u3068\u304d, [2] \u306f \u5b9f\u6570 \\(s , t\\) \u306b\u3088\u3089\u305a\u6210\u7acb\u3059\u308b.
      \r\n\u70b9A, B\u306f\u3068\u3082\u306b\u539f\u70b9\u3067\u306f\u306a\u3044\u3053\u3068\u304b\u3089, \\(a \\neq 0\\) , \\(c \\neq 0\\) \u306a\u306e\u3067, [1] \u3088\u308a, \u4efb\u610f\u306e\u5b9f\u6570 \\(s\\) \u306b\u5bfe\u3057\u3066\r\n\\[\r\nt = \\dfrac{e -as}{c} \\ .\r\n\\]\r\n\u3086\u3048\u306b, \u5b9f\u6570 \\(s , t\\) \u306f\u5b58\u5728\u3059\u308b.<\/p><\/li>\r\n

    2. (\u30a4)<\/strong>\u3000\\(e=0\\) \u306e\u3068\u304d
      \r\n\\(a , b , c , d\\) \u306b\u95a2\u308f\u3089\u305a\r\n\\[\r\ns = t = 0\r\n\\]\r\n\u304c, [1] [2] \u3092\u3068\u3082\u306b\u307f\u305f\u3059.<\/p><\/li>\r\n<\/ol>\r\n\u3086\u3048\u306b, \u5b9f\u6570 \\(s , t\\) \u306f\u5b58\u5728\u3059\u308b.<\/p><\/li>\r\n<\/ol>\r\n

      \u4ee5\u4e0a\u3088\u308a, \u6c42\u3081\u308b\u6761\u4ef6\u306f\r\n\\[\r\n\\underline{ad-bc \\neq 0 \\ \\text{\u307e\u305f\u306f} \\ b=d=0 \\ \\text{\u307e\u305f\u306f} \\ e=0} \\ .\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u5b9f\u6570 \\(a , b , c , d , e\\) \u306b\u5bfe\u3057\u3066, \u5ea7\u6a19\u5e73\u9762\u4e0a\u306e\u70b9 A \\((a,b)\\) , B \\((c,d)\\) , C \\((e,0)\\) \u3092\u3068\u308b. \u305f\u3060\u3057\u70b9 A \u3068\u70b9 B \u306f\u3069\u3061\u3089\u3082\u539f\u70b9O \\((0, … \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":[115],"tags":[142,112],"class_list":["post-1120","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2014","tag-osaka_r","tag-112"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1120","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=1120"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1120\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}