{"id":154,"date":"2016-08-30T16:25:17","date_gmt":"2016-08-30T07:25:17","guid":{"rendered":"https:\/\/koukou-juken.com\/?p=154"},"modified":"2016-08-30T16:25:17","modified_gmt":"2016-08-30T07:25:17","slug":"metrohibiya-2016-math-4","status":"publish","type":"post","link":"https:\/\/koukou-juken.valleyin.cloud\/?p=154","title":{"rendered":"\u3010\u90fd\u7acb\u65e5\u6bd4\u8c37\u9ad8\u6821\u30112016\u5e74\u5ea6\u6570\u5b66\u5165\u8a66\u554f\u984c\u5927\u554f4\u89e3\u8aac"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>[mathjax]<\/p>\n<h1>\u90fd\u7acb\u65e5\u6bd4\u8c37\u306e\u5927\u554f4\u3092\u89e3\u304f\u4e0a\u3067\u306e\u30dd\u30a4\u30f3\u30c8<\/h1>\n<ul>\n<li>\u7a7a\u9593\u56f3\u5f62\u306e\u5207\u308a\u53d6\u308a<\/li>\n<li>\u7a7a\u9593\u56f3\u5f62\u3092\u5c55\u958b\u3059\u308b\u80fd\u529b<\/li>\n<\/ul>\n<p>\u304c\u91cd\u8981\u3067\u3059.<\/p>\n<p><!--more--><\/p>\n<p><a href=\"https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/2016\u5e74\u5ea6-\u6570\u5b66-\u5165\u8a66.pdf\">\u90fd\u7acb\u65e5\u6bd4\u8c37 \u6570\u5b66 2016\u5e74\u5ea6(\u554f\u984c)<\/a><sup>*1<\/sup><\/p>\n<p>&nbsp;<\/p>\n<h2>\u3014\u554f\uff11\u3015\u3053\u306e\u554f\u984c\u306f1\uff0c2\u5206\u3067\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\uff01<\/h2>\n<p>\u4e09\u89d2\u9310\u306e\u8868\u9762\u7a4d\u3092\u6c42\u3081\u308b\u554f\u984c\u306f\u305d\u308c\u305e\u308c\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\uff0c\u6700\u5f8c\u306b\u8db3\u3057\u307e\u3059\uff0e<\/p>\n<p>\u554f\u984c\u3092\u8aad\u307f\u53d6\u308b\u3068\u308f\u304b\u308b\u3088\u3046\u306b\uff0c\u3053\u306e\u4e09\u89d2\u67f1\u306b\u306f\u76f4\u89d2\u4e09\u89d2\u5f62\u304c\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u306e\u3067\u305d\u308c\u305e\u308c\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306f\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>\u25b3BCD\u306fDC=6, CB=8, BD=10\u3088\u308a\u4e09\u5e73\u65b9\u306e\u9006\u306e\u5b9a\u7406\u3088\u308a\u2220BCD=90\u00b0\u306b\u306a\u308a\u307e\u3059\uff0e\u3053\u308c\u3092\u8e0f\u307e\u3048\u308b\u3068<\/p>\n<p>\u25b3ABC\uff0c\u25b3ABD\uff0c\u25b3BCD\u306e3\u3064\u306f\u76f4\u89d2\u4e09\u89d2\u5f62\u306a\u306e\u3067\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>$$\\rm\u25b3ABC\uff1dAB\\times BC\\times\\frac{1}{2}\\\\=6\\times8\\times\\frac{1}{2}=24[cm^{2}]$$<\/p>\n<p>$$\\rm\u25b3ABD\uff1dAB\\times BD\\times\\frac{1}{2}\\\\=6\\times10\\times\\frac{1}{2}=30[cm^{2}]$$<\/p>\n<p>$$\\rm\u25b3BCD\uff1dBC\\times CD\\times\\frac{1}{2}\\\\=8\\times6\\times\\frac{1}{2}=24[cm^{2}]$$<\/p>\n<p>\u00a0\u6700\u5f8c\u306b\u25b3ACD\u306e\u9762\u7a4d\u3092\u6c42\u3081\u307e\u3059\uff0e\u25b3ACD\u306f\u25b3ABD\u3068\u8fbaAD\u3092\u5171\u6709\u3057\u3066\u3044\u308b\u3053\u3068\u304b\u3089<\/p>\n<p>\u25b3ACD\u2261\u25b3ABD\uff083\u8fba\u306e\u9577\u3055\u304c\u7b49\u3057\u3044\u305f\u3081\uff09\u3088\u3063\u3066\u9762\u7a4d\u306f<\/p>\n<p>$$\\rm\u25b3ACD=\u25b3ABD=30[cm^{2}]$$<\/p>\n<p>\u3086\u3048\u306b\u4e09\u89d2\u9310\u306e\u8868\u9762\u7a4d\u306f<\/p>\n<p>$$\\rm(\u4e09\u89d2\u9310\u306e\u8868\u9762\u7a4d)\\\\=\u25b3ABC+\u25b3ABD+\u25b3BCD+\u25b3ACD\\\\=108[cm^{2}]$$<\/p>\n<p>&nbsp;<\/p>\n<h2>\u3014\u554f\uff12\u3015\u8a08\u7b97\u304c\u591a\u3044\u305f\u30817\u5206\u7a0b\u5ea6\u3067\u3067\u304d\u308b\u3068\u826f\u3044\u3067\u3059\uff01\u9014\u4e2d\u5f0f\u3082\uff01<\/h2>\n<blockquote>\n<p>\u7acb\u4f53FG-HCDI\u3092\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u6c42\u3081\u308b\u304b\u304c\u30dd\u30a4\u30f3\u30c8\u3067\u3059\uff0e<\/p>\n<\/blockquote>\n<h4>\u3010\u30d2\u30f3\u30c8\u3011<\/h4>\n<p>\u7acb\u4f53FG-HCDI\u306f\u4e09\u89d2\u9310\u306e\u4f53\u7a4d\u304b\u3089\u5468\u308a\u3092\u5f15\u304f\u3053\u3068\u3067\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>&nbsp;<\/p>\n<h4>\u3010\u8a73\u3057\u3044\u89e3\u8aac\u3011<\/h4>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-234\" src=\"https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c91-1-1024x576.jpg\" alt=\"\u90fd\u7acb\u65e5\u6bd4\u8c37\u3000\u554f2\u3000\u56f3\u5f62\" width=\"728\" height=\"410\" srcset=\"https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c91-1-1024x576.jpg 1024w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c91-1-300x169.jpg 300w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c91-1-768x432.jpg 768w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c91-1.jpg 1280w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/p>\n<p>(i) \u7acb\u4f53A-EFG\u306e\u4f53\u7a4d<em>V<\/em>\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\uff0e<\/p>\n<p>\u7acb\u4f53EFG-BHI\u304c\u4e09\u89d2\u67f1\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u8fbaEF\u3068\u8fbaBC\u306f\u5e73\u884c\u3067\u3042\u308a\uff0c\u8fbaFG\/\/\u8fbaCD\uff0c\u8fbaGE\/\/\u8fbaDB\uff0e<\/p>\n<p>\u25b3AEF\u223d\u25b3ABC\uff0c\u25b3AFG\u223d\u25b3ACD\uff0c\u25b3AEG\u223d\u25b3ABD\uff0c\u25b3EFG\u223d\u25b3BCD\u3068\u306a\u308b\u306e\u3067<\/p>\n<p>\u7acb\u4f53A-EFG\u223d\u7acb\u4f53A-BCD\u3068\u3044\u3046\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\uff0c\u76f8\u4f3c\u6bd4\u306f<\/p>\n<p>$$(\u7acb\u4f53\\rm A-EFG):(\u7acb\u4f53\\rm A-BCD)=\\it x\\rm:6\u3000\u30fb\u30fb\u30fb\u2460$$<\/p>\n<p>\u7acb\u4f53A-BCD\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308c\u3070\u7acb\u4f53A-EFG\u306e\u4f53\u7a4d<em>V\u3082\u4f53\u7a4d\u6bd4\u3092\u5229\u7528\u3059\u308c\u3070\u6c42\u307e\u308a\u307e\u3059\uff0e<\/em><\/p>\n<p>$$\\rm(\u7acb\u4f53A-BCD)\\\\=BC\\times CD\\times\\frac{1}{2}\\times AB\\times\\frac{1}{3}\\\\=8\\times6\\times\\frac{1}{2}\\times6\\times\\frac{1}{3}\\\\=48[\\rm cm^{3}]$$<\/p>\n<p>$$\\rm(\u7acb\u4f53A-EFG)\\\\=48[cm^{3}]\\times(\\frac{\\it x\\rm}{6})^{3}\\\\=\\frac{2}{9}\\it x\\rm^{3}[cm^{3}]$$<\/p>\n<p>&nbsp;<\/p>\n<p>(ii) \u6b21\u306b\u7acb\u4f53FG-HCDI\u306e\u4f53\u7a4d<em>W\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\uff0e<\/em><\/p>\n<p>\u7acb\u4f53FG-HCDI\u306f\u3010\u30d2\u30f3\u30c8\u3011\u306b\u3042\u308b\u3088\u3046\u306b\u5468\u308a\u304b\u3089\u5f15\u304f\u3053\u3068\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>\u4e09\u89d2\u9310A-BCD\u304b\u3089\u7acb\u4f53A-EFG\u3068\u4e09\u89d2\u67f1EFG-BHI\u3092\u5f15\u3051\u3070\u7acb\u4f53FG-HCDI\u304c\u6c42\u307e\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\uff0e<\/p>\n<p>\u4e09\u89d2\u67f1EFG-BHI\u306e\u5e95\u9762BHI\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\uff0e<\/p>\n<p>\u25b3BHI\u306f\u25b3BCD\u3068\u76f8\u4f3c\u3067\u3042\u308b\u305f\u3081\u76f4\u89d2\u4e09\u89d2\u5f62\u3067\u3059\uff0e\u3064\u307e\u308a\u8fbaBH\u3068\u8fbaHI\u306e\u9577\u3055\u304c\u308f\u304b\u308c\u3070\u9762\u7a4d\u304c\u308f\u304b\u308a\u307e\u3059\uff0e\u3053\u306e\u3068\u304d\u306e\u76f8\u4f3c\u6bd4\u306f\u2460\u306e\u76f8\u4f3c\u6bd4\u3068\u7b49\u3057\u3044\uff0e<\/p>\n<p>$$\\rm (BH:BC=)BH:8=\\it x\\rm:6\\\\BH=\\frac{4}{3}\\it x\\rm[cm]$$<\/p>\n<p>$$\\rm (HI:CD=)HI:6=\\it x\\rm:6\\\\HI=\\it x\\rm[ cm]$$<\/p>\n<p>\u307e\u305f\u4e09\u89d2\u67f1EFG-BHI\u306e\u9ad8\u3055\u306fEB\uff1d(6-<em>x<\/em>)[cm]\u3068\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p>\u3086\u3048\u306b\u7acb\u4f53FG-HCDI\u306e\u4f53\u7a4d<em>W\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff0e<\/em><\/p>\n<p>$$\\rm(\u7acb\u4f53FG-HCDI)\\\\=(\u4e09\u89d2\u9310A-BCD)-((\u7acb\u4f53A-EFG)+(\u4e09\u89d2\u67f1EFG-BHI))\\\\=48-((\\frac{2}{9}\\it x\\rm^{3})+(BH\\times HI\\times\\frac{1}{2}\\times EB))\\\\=48-((\\frac{2}{9}\\it x\\rm^{3})+(\\frac{4}{3}\\it x\\rm\\times\\it x\\rm\\times\\frac{1}{2}\\times(6-\\it x\\rm)))\\\\=48-(-\\frac{4}{9}\\it x\\rm^{3}+4\\it x\\rm^{2})$$<\/p>\n<p>&nbsp;<\/p>\n<p>\u3086\u3048\u306b\u554f\u984c\u306f<em>V<\/em>\uff1a<em>W<\/em>\uff1d1\uff1a2\u306a\u306e\u3067(i), (ii)\u3067\u6c42\u3081\u305f\u305d\u308c\u305e\u308c\u306e\u4f53\u7a4d\u3092\u4ee3\u5165\u3057\uff0c<em>x<\/em>\u3092\u6c42\u3081\u307e\u3059\uff0e<\/p>\n<p>$$V:W=\\frac{2}{9}x^{3}:48-(-\\frac{4}{9} x^{3}+4x^{2})=1:2\\\\\\frac{4}{9}x^{3}=48+\\frac{4}{9}x^{3}-4x^{2}\\\\4x^{2}=48\\\\x^{2}=12\u3000(0&lt;x&lt;6\u3088\u308a)\\\\x=2\\sqrt{3}[\\rm cm]$$<\/p>\n<p>&nbsp;<\/p>\n<h2>\u3014\u554f\uff13\u3015\u3053\u306e\u554f\u984c\u306f\u6700\u77ed\u306e\u7dda<em>l<\/em>\u304c\u601d\u3044\u3064\u3051\u3070\u7c21\u5358\uff01\u30dd\u30a4\u30f3\u30c8\u306f\u70b9Q\uff01<\/h2>\n<blockquote>\n<p>EP\uff0bPQ\uff1dl\u304c\u3069\u306e\u3088\u3046\u306b\u63cf\u304b\u308c\u308b\u304b\u8003\u3048\u308c\u3070\u5c55\u958b\u56f3\u304c\u63cf\u3051\uff0c\u9577\u3055\u304c\u6c42\u307e\u308a\u307e\u3059\uff0e<\/p>\n<\/blockquote>\n<h4>\u3010\u30d2\u30f3\u30c8\u3011<\/h4>\n<p>\u70b9Q\u304c\u8fbaCD\u4e0a\u306e\u3069\u3053\u306b\u4f4d\u7f6e\u3059\u308b\u304b\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\uff0e\u70b9P\u306f\u8003\u3048\u308b\u5fc5\u8981\u306f\u3042\u307e\u308a\u3044\u308a\u307e\u305b\u3093\uff0e<\/p>\n<p>&nbsp;<\/p>\n<h4>\u3010\u8a73\u3057\u3044\u89e3\u8aac\u3011<\/h4>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-235\" src=\"https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c92-1-1024x576.jpg\" alt=\"\u90fd\u7acb\u65e5\u6bd4\u8c37\u3000\u554f3\u3000\u56f3\u5f62\" width=\"728\" height=\"410\" srcset=\"https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c92-1-1024x576.jpg 1024w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c92-1-300x169.jpg 300w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c92-1-768x432.jpg 768w, https:\/\/koukou-juken.valleyin.cloud\/wp-content\/uploads\/2016\/08\/\u30b9\u30e9\u30a4\u30c92-1.jpg 1280w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/p>\n<p>\u3053\u306e\u7a7a\u9593\u56f3\u5f62\u3092\u4e0a\u304b\u3089\u898b\u305f\u3068\u304d\u306e\u56f3\u3092\u8868\u3059\u3068\u70b9Q\u306e\u4f4d\u7f6e\u3059\u308b\u3079\u304d\u3068\u3053\u308d\u304c\u308f\u304b\u308b\u3068\u601d\u3044\u307e\u3059\uff0e<\/p>\n<p>EP\uff0bPQ\u304c\u6700\u77ed\u306b\u306a\u308b\u305f\u3081\u306b\u306f\u70b9Q\u306fPQ\u22a5CD\u3067\u3042\u308b\u3053\u3068\u304c\u8003\u3048\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p>$$x=3[\\rm cm]$$<\/p>\n<p>\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u2460\u3088\u308a\u8fbaBI=\u8fbaEG=5cm\u3068\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p>\u4e0a\u304b\u3089\u898b\u305f\u56f3\u3068\u305d\u306e\u6642\u306e\u5c55\u958b\u56f3\u306f\u4e0a\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p>\u3086\u3048\u306bEP+PQ=<em>l<\/em>\u306e\u9577\u3055\u306f<\/p>\n<p>$$\\rm EP+PQ=\\it l\\rm\\\\=\\sqrt{EB^{2}+EJ^{2}}\\\\=\\sqrt{3^{2}+9^{2}}\\\\=3\\sqrt{10}[cm]$$<\/p>\n<p>&nbsp;<\/p>\n<h3>\u5f15\u7528\u6587\u732e<\/h3>\n<ol>\n<li>\u30b0\u30eb\u30fc\u30d7\u4f5c\u6210\u554f\u984c\uff0a\u6771\u4eac\u90fd\u7acb\u65e5\u6bd4\u8c37\u9ad8\u7b49\u5b66\u6821<br \/>\n URL:<a href=\"http:\/\/www.hibiya-h.metro.tokyo.jp\/html\/jikoumondai.html\">http:\/\/www.hibiya-h.metro.tokyo.jp\/html\/jikoumondai.html<\/a><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; [mathjax] \u90fd\u7acb\u65e5\u6bd4\u8c37\u306e\u5927\u554f4\u3092\u89e3\u304f\u4e0a\u3067\u306e\u30dd\u30a4\u30f3\u30c8 \u7a7a\u9593\u56f3\u5f62\u306e\u5207\u308a\u53d6\u308a \u7a7a\u9593\u56f3\u5f62\u3092\u5c55\u958b\u3059\u308b\u80fd\u529b \u304c\u91cd\u8981\u3067\u3059.<\/p>\n","protected":false},"author":1,"featured_media":276,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,5],"tags":[],"class_list":["post-154","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-exam","category-math"],"_links":{"self":[{"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/posts\/154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=154"}],"version-history":[{"count":0,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/posts\/154\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=\/wp\/v2\/media\/276"}],"wp:attachment":[{"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/koukou-juken.valleyin.cloud\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}