{"id":567,"date":"2013-01-06T11:47:22","date_gmt":"2013-01-06T02:47:22","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=567"},"modified":"2021-10-31T08:06:04","modified_gmt":"2021-10-30T23:06:04","slug":"tkb200803","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb200803\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2008\uff1a\u7b2c3\u554f"},"content":{"rendered":"
\n

\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e \\(3\\) \u70b9 A \\((1,0)\\) , B \\((-1,0)\\) , C \\((0,-1)\\) \u306b\u5bfe\u3057,\r\n\\[\r\n\\angle \\text{APC} = \\angle \\text{BPC}\r\n\\]\r\n\u3092\u307f\u305f\u3059\u70b9 P \u306e\u8ecc\u8de1\u3092\u6c42\u3081\u3088. \u305f\u3060\u3057 \\(\\text{P} \\neq \\text{A, B, C}\\) \u3068\u3059\u308b.<\/p>\r\n

\r\n\r\n

\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n
    \r\n
  1. 1*<\/strong>\u3000\\(x=0\\) \u306e\u3068\u304d\r\n\"tokyo_b_2008_03_01\"\r\n\u25b3ABP \u306f\u76f4\u7dda PC \u3092\u5bfe\u79f0\u306e\u8ef8\u3068\u3059\u308b\u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62\u3068\u306a\u308b\u304b\u3089\r\n\\[\r\ny \\neq -1\r\n\\]<\/li>\r\n<\/ol>\r\n

    \u4ee5\u4e0b\u306e\u5834\u5408\u3067\u306f, \u5bfe\u79f0\u6027\u304b\u3089 \\(x \\gt 0\\) \u306b\u3064\u3044\u3066\u8003\u3048\u308c\u3070\u3088\u3044.<\/p>\r\n

      \r\n

    1. 2*<\/strong>\u3000\\(y=0\\) \u306e\u3068\u304d\r\n\"tokyo_b_2008_03_02\"\r\n

        \r\n

      1. (\u30a2)<\/strong>\u3000\\(0 \\lt x \\lt 1\\) \u306e\u3068\u304d\r\n\\[\r\n\\angle \\text{APC} = 180^{\\circ} - \\angle \\text{BPC} \\gt 90^{\\circ}\r\n\\]\r\n\u306a\u306e\u3067, \u4e0d\u9069.<\/p><\/li>\r\n

      2. (\u30a4)<\/strong>\u3000\\(x \\gt 1\\) \u306e\u3068\u304d\r\n\\[\r\n\\angle \\text{APC} = \\angle \\text{BPC}\r\n\\]\r\n\uff08 \\(2\\) \u3064\u306e\u89d2\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\uff09\u306a\u306e\u3067, \u9069\u3059\u308b.
        \r\n\u3057\u305f\u304c\u3063\u3066\r\n\\[\r\nx \\gt 1\r\n\\]<\/li>\r\n<\/ol><\/p><\/li>\r\n

      3. 3*<\/strong>\u3000\\(y \\lt 0\\) \u306e\u3068\u304d\r\n\"tokyo_b_2008_03_03\"\r\n

          \r\n

        1. (\u30a2)<\/strong>\u3000\\(y \\leqq x-1\\) \u306e\u3068\u304d\r\n\\[\r\n\\angle \\text{APC} = \\angle \\text{APB} +\\angle \\text{BPC} \\gt \\angle \\text{BPC}\r\n\\]\r\n\u306a\u306e\u3067, \u4e0d\u9069.<\/p><\/li>\r\n

        2. (\u30a4)<\/strong>\u3000\\(y \\gt x-1\\) \u306e\u3068\u304d
          \r\n\u25b3ABC\u306e\u5bfe\u79f0\u6027\u304b\u3089, \\(\\angle \\text{APC} = \\angle \\text{BPC}\\) \u3068\u306a\u308b\u306e\u306f, OC\u4e0a\u306e\u70b9\u306e\u307f\u3067\u4e0d\u9069.<\/p><\/li>\r\n<\/ol><\/p><\/li>\r\n

        3. 4*<\/strong>\u3000\\(y \\gt 0\\) \u306e\u3068\u304d\r\n\"tokyo_b_2008_03_04\"\r\n\\(3\\) \u70b9 A , B , C \u3092\u901a\u308b\u5186\u306f \\(C : \\ x^2+y^2 = 1\\) \u3067, \\(y \\gt 0\\) \u306e\u9818\u57df\u306f, \\(C\\) \u306e\u4e0a\u534a\u5186\u5074\u306b\u3042\u308b.
          \r\n\\(\\text{AC} = \\text{BC}\\) \u306a\u306e\u3067, \\(\\angle \\text{APC} = \\angle \\text{BPC}\\) \u3068\u306a\u308b\u70b9\u306f, \u5186\u5468\u89d2\u306e\u5b9a\u7406\u3088\u308a \\(C\\) \u4e0a\u306e\u70b9\u3067\u3042\u308b.
          \r\n\\(C\\) \u4e0a\u306b\u306a\u3044\u70b9\u306b\u3064\u3044\u3066\u306f, \u5186\u5468\u89d2\u306e\u5b9a\u7406\u306e\u9006\u3088\u308a\u6761\u4ef6\u3092\u307f\u305f\u3055\u305a\u4e0d\u9069.
          \r\n\u3057\u305f\u304c\u3063\u3066\r\n\\[\\begin{gather}\r\nx^2+y^2=1 \\\\\r\n\\text{\u2234} \\quad y = \\sqrt{1 -x^2}\r\n\\end{gather}\\]<\/li>\r\n<\/ol>\r\n

          1*<\/strong>\uff5e4*<\/strong>\u3088\u308a\u6c42\u3081\u308b\u70b9 P \u306e\u8ecc\u8de1\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} \\text{\u76f4\u7dda} : \\ y \\neq -1 & ( \\ x=0 \\text{\u306e\u3068\u304d} ) \\\\ \\text{\u534a\u5186} : \\ y= \\sqrt{1-x^2} & ( \\ 0 \\lt |x| \\lt 1 \\text{\u306e\u3068\u304d} ) \\\\ \\text{\u76f4\u7dda} : \\ y=0 & ( \\ |x| \\gt 1 \\text{\u306e\u3068\u304d} ) \\end{array} \\right.}\r\n\\]\r\n\u3067\u3042\u308a, \u56f3\u793a\u3059\u308b\u3068\u4e0b\u56f3\u592a\u7dda\u90e8\uff08\u25cb\u70b9\u306f\u9664\u304f\uff09\u3068\u306a\u308b.<\/p>\r\n\"tokyo_b_2008_03_05\"\r\n","protected":false},"excerpt":{"rendered":"\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e \\(3\\) \u70b9 A \\((1,0)\\) , B \\((-1,0)\\) , C \\((0,-1)\\) \u306b\u5bfe\u3057, \\[ \\angle \\text{APC} = \\angle \\text{BPC} \\] \u3092\u307f\u305f\u3059 … \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":[82],"tags":[149,16],"class_list":["post-567","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2008","tag-tokyo_b","tag-16"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/567","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=567"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/567\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}