{"id":109,"date":"2011-11-27T19:18:18","date_gmt":"2011-11-27T10:18:18","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=109"},"modified":"2021-03-23T19:12:15","modified_gmt":"2021-03-23T10:12:15","slug":"kyr201001","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201001\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb\u4e592010\uff1a\u7b2c1\u554f"},"content":{"rendered":"<hr \/>\n<p>\u56db\u9762\u4f53 ABCD \u306b\u304a\u3044\u3066 \\(\\overrightarrow{\\text{CA}}\\) \u3068 \\(\\overrightarrow{\\text{CB}}\\) , \\(\\overrightarrow{\\text{DA}}\\) \u3068 \\(\\overrightarrow{\\text{DB}}\\) , \\(\\overrightarrow{\\text{AB}}\\) \u3068 \\(\\overrightarrow{\\text{CD}}\\) \u306f\u305d\u308c\u305e\u308c\u5782\u76f4\u3067\u3042\u308b\u3068\u3059\u308b.\r\n\u3000\u3053\u306e\u3068\u304d, \u9802\u70b9 A , \u9802\u70b9 B \u304a\u3088\u3073\u8fba CD \u306e\u4e2d\u70b9 M \u306e \\(3\\) \u70b9\u3092\u901a\u308b\u5e73\u9762\u306f\u8fba CD \u3068\u76f4\u4ea4\u3059\u308b\u3053\u3068\u3092\u793a\u305b.<\/p>\r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\(\\overrightarrow{\\text{AB}} = \\overrightarrow{b}\\) , \\(\\overrightarrow{\\text{AC}} = \\overrightarrow{c}\\) , \\(\\overrightarrow{\\text{AD}} = \\overrightarrow{d}\\) \u3068\u304a\u304f.<br \/>\r\n\u6761\u4ef6\u3088\u308a\r\n\\[\\begin{align}\r\n\\overrightarrow{\\text{CA}} \\cdot \\overrightarrow{\\text{CB}} & = -\\overrightarrow{c} \\cdot \\left( \\overrightarrow{b} -\\overrightarrow{c} \\right) = -\\overrightarrow{b} \\cdot \\overrightarrow{c} +\\left| \\overrightarrow{c} \\right|^2 = 0 \\\\\r\n\\overrightarrow{\\text{DA}} \\cdot \\overrightarrow{\\text{DB}} & = -\\overrightarrow{d} \\cdot \\left( \\overrightarrow{b} -\\overrightarrow{d} \\right) = -\\overrightarrow{b} \\cdot \\overrightarrow{d} +\\left| \\overrightarrow{d} \\right|^2 = 0 \\\\\r\n\\overrightarrow{\\text{AB}} \\cdot \\overrightarrow{\\text{CD}} & = \\overrightarrow{b} \\cdot \\left( \\overrightarrow{d} -\\overrightarrow{c} \\right) = \\overrightarrow{b} \\cdot \\overrightarrow{d} -\\overrightarrow{b} \\cdot \\overrightarrow{c}= 0\r\n\\end{align}\\]\r\n\u4ee5\u4e0a\u3088\u308a\r\n\\[\r\n\\overrightarrow{b} \\cdot \\overrightarrow{c} = \\left| \\overrightarrow{c} \\right|^2 = \\overrightarrow{b} \\cdot \\overrightarrow{d} = \\left| \\overrightarrow{d} \\right|^2\r\n\\]\r\n\u3053\u308c\u3092\u7528\u3044\u308b\u3068,\r\n\\[\\begin{align}\r\n\\overrightarrow{\\text{AM}} \\cdot \\overrightarrow{\\text{CD}} & = \\dfrac{1}{2}\\overrightarrow{b} \\cdot \\left( \\overrightarrow{d} -\\overrightarrow{c} \\right) \\\\\r\n& = \\dfrac{1}{2} \\left( \\overrightarrow{b} \\cdot \\overrightarrow{d} -\\overrightarrow{b} \\cdot \\overrightarrow{c} \\right) = 0 \\\\\r\n\\text{\u2234} \\quad & \\overrightarrow{\\text{AM}} \\perp \\overrightarrow{\\text{CD}}\r\n\\end{align}\\]\r\n\u3053\u308c\u3068\u6761\u4ef6 \\(\\overrightarrow{\\text{AB}} \\perp \\overrightarrow{\\text{CD}}\\) \u304b\u3089, \u984c\u610f\u306f\u793a\u3055\u308c\u305f.<\/p>\r\n","protected":false},"excerpt":{"rendered":"\u56db\u9762\u4f53 ABCD \u306b\u304a\u3044\u3066 \\(\\overrightarrow{\\text{CA}}\\) \u3068 \\(\\overrightarrow{\\text{CB}}\\) , \\(\\overrightarrow{\\text{DA}}\\) &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/kyr201001\/\">\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":[22],"tags":[140,14],"class_list":["post-109","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2010","tag-kyoto_r","tag-14"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/109","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=109"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/109\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=109"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=109"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}