{"id":5586,"date":"2025-12-24T17:18:17","date_gmt":"2025-12-24T08:18:17","guid":{"rendered":"https:\/\/math-travel.com\/?p=5586"},"modified":"2026-02-11T16:26:36","modified_gmt":"2026-02-11T07:26:36","slug":"2ziketei","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/2ziketei\/","title":{"rendered":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac"},"content":{"rendered":"\n<p>\u6570\u5b66\u2160\u300c2\u6b21\u95a2\u6570\u300d\u306e\u4e2d\u306b\u300e\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u300f\u3068\u3044\u3046\u5206\u91ce\u304c\u3042\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u300c2\u6b21\u95a2\u6570\u306e\u5f0f\u304c\u6c42\u3081\u3089\u308c\u306a\u3044\u300d<br>\u300c\u5f0f\u306e\u7f6e\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/p>\n\n\n\n<p>\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306b\u3064\u3044\u3066\u306e\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u3067\u306f\u3001\u554f\u984c\u6587\u3067\u4e0e\u3048\u3089\u308c\u305f\u6761\u4ef6\u304b\u30892\u6b21\u95a2\u6570\u306e\u5f0f\u304c\u3069\u3046\u3044\u3063\u305f\u5f62\u3092\u3057\u3066\u3044\u308b\u306e\u304b\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u6587\u3067\u4e0e\u3048\u3089\u308c\u308b\u6761\u4ef6\u3068\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group has-border -border01 is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1)\u3000\u9802\u70b9\u304c\u70b9(4,-3)\u3067\u3001\u70b9(2,5)\u3092\u901a\u308b\u3002<br>(2)\u3000\u8ef8\u304c\u76f4\u7dda(x=-3)\u3067\u30012\u70b9(-1,1),(-6,-4)\u3092\u901a\u308b\u3002<br>(3)\u30003\u70b9(1,10),(-1,2),(-4,5)\u3092\u901a\u308b\u3002<br>(4)\u3000(x=4)\u3067\u6700\u5927\u50246\u3092\u3068\u308a\u3001\u70b9(8,-2)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u306b\u5bfe\u3057\u3066\u3001\u4f55\u304b\u3089\u624b\u3092\u4ed8\u3051\u3066\u826f\u3044\u304b\u5206\u304b\u3089\u305a\u60a9\u3093\u3067\u3044\u308b\u9ad8\u6821\u751f\u304c\u591a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u305d\u3093\u306a\u9ad8\u6821\u751f\u306b\u6717\u5831\u3067\u3059&#8230;\uff01<\/p>\n\n\n\n<p>\u5b9f\u306f\u30012\u6b21\u95a2\u6570\u306e\u6c42\u3081\u65b9\u306b\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3057\u304b\u306a\u3044\u306e\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f2\u6b21\u95a2\u6570\u306e\u5f0f\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u6587\u304b\u3089\u3069\u306e\u30d1\u30bf\u30fc\u30f3\u306e\u554f\u984c\u304b\u5206\u304b\u308b\u3088\u3046\u306b\u306a\u308c\u3070\u30012\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f\u7c21\u5358\u306b\u5f97\u70b9\u3067\u304d\u308b\u306e\u3067\u305c\u3072\u6700\u5f8c\u307e\u3067\u8aad\u3093\u3067\u89e3\u304d\u65b9\u3092\u7fd2\u5f97\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u3010\u9ad8\u6821\u6570\u5b66\u3011\u3000\u3000\u6570\u2160\uff0d\uff14\uff19\u3000\u3000\uff12\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u2460\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/JJaoj-mk7x8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3patern\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3\u3064\u306e\u578b<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f\u5927\u304d\u304f3\u3064\u306e\u578b\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e3\u3064\u306e\u578b\u3092\u4f7f\u3063\u3066\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304f\u308f\u3051\u3067\u3059\u304c\u3001\u554f\u984c\u306e\u30d1\u30bf\u30fc\u30f3\u306f4\u3064\u3057\u304b\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u6587\u306e\u6761\u4ef6\u304b\u3089\u3069\u306e\u30d1\u30bf\u30fc\u30f3\u306a\u306e\u304b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1\">\u2460\u9802\u70b9\u30681\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u3068\u4ed6\u306e1\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u2460\u306e\u578b\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"693\" height=\"312\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1\" class=\"wp-image-5595\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1.png 693w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1-300x135.png 300w\" sizes=\"(max-width: 693px) 100vw, 693px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c\uff1a\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u9802\u70b9\u304c\u70b9(-2,4)\u3067,\u70b9(-4,2)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u304c(-2,4)\u306a\u306e\u3067\u30012\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[y=a(x+2)^{2}+4\\]<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u70b9\u3067\u982d\u306b\u30cf\u30c6\u30ca\u304c\u6d6e\u304b\u3093\u3060\u65b9\u306f\u307e\u305a\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b9\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u305f\u307b\u3046\u304c\u826f\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\[y=a(x+2)^2+4\\]<\/p>\n\n\n\n<p>\u304c\u70b9(-4,2)\u3092\u901a\u308b\u554f\u984c\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2&amp;=&amp;a(-4+2)^{2}+4\\\\<br>2&amp;=&amp;4a+4\\\\<br>4a&amp;=&amp;-2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\[\\displaystyle a=-\\frac{1}{2}\\]<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle y=-\\frac{1}{2}(x+2)^{2}+4\\]<\/p>\n\n\n\n<p>\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2\">\u2461\u8ef8\u30682\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p>\u8ef8\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u3082\u2460\u306e\u578b\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c\uff1a\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u76f4\u7dda(x=2)\u3092\u8ef8\u3068\u3057\u3066\u30012\u70b9(-1,5),(1,-11)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u76f4\u7dda\\(x=2\\)\u3092\u8ef8\u3068\u3059\u308b\u306e\u3067\u30012\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[y=a(x-2)^{2}+q\\]<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9\\((-1,5),(1,-11)\\)\u3092\u901a\u308b\u304b\u3089\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>5&amp;=&amp;a(-1-2)^{2}+q\\\\<br>-11&amp;=&amp;a(1-2)^{2}+q<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>5&amp;=&amp;9a+q \\cdots \u2460\\\\<br>-11&amp;=&amp;a+q \\cdots \u2461<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u89e3\u304f\u3068\u3000\\(a=2,q=-13\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle y=2(x-2)^{2}-13\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3\">\u24623\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p>\u79c1\u304c\u73fe\u5834\u3067\u6559\u3048\u3066\u3044\u3066\u3001\u4e00\u756a\u52ff\u4f53\u306a\u3044\u3068\u611f\u3058\u308b\u306e\u306f\u3053\u306e\u30d1\u30bf\u30fc\u30f3\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6c42\u3081\u305f\u30442\u6b21\u95a2\u6570\u306e\u901a\u308b\u70b9\u304c3\u3064\u5206\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306f\u2781\u306e\u578b\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"726\" height=\"315\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2\" class=\"wp-image-5591\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2.png 726w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2-300x130.png 300w\" sizes=\"(max-width: 726px) 100vw, 726px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u62bc\u3055\u3048\u308c\u3070\u3001\u4e00\u3064\u306e\u5f97\u70b9\u6e90\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c\uff1a<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c3\u70b9(2,-2),(3,5),(-1,1)\u3092\u901a\u308b\u3068\u304d\u3001\u305d\u306e2\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>3\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c<\/p>\n\n\n\n<p>\u70b9(2,-2)\u3092\u901a\u308b\u304b\u3089\u3001(-2=4a+2b+c \\cdots \u2460)<br>\u70b9(3,5)\u3092\u901a\u308b\u306e\u3067\u3001(5=9a+3b+c \\cdots \u2461)<br>\u70b9(-1,1)\u3092\u901a\u308b\u306e\u3067\u3001(1=a-b+c \\cdots \u2462)<\/p>\n\n\n\n<p>\u2461-\u2460\u304b\u3089\u3001\\(7=5a+b \\cdots \u2463\\)<br>\u2461-\u2462\u304b\u3089\u3001\\(4=8a+4b \\cdots \u2464\\)<\/p>\n\n\n\n<p>\u2463\u00d74-\u2464\u304b\u3089\u3001\\(24=12a\\)\u3068\u306a\u308a\\(a=2\\)<br>\u2463\u306b\\(a=2\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(b=-3\\)<br>\u2460\u306b\\(a=2,b=-3\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(c=-4\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[y=2x^{2}-3x-4\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4\">\u2463x\u8ef8\u3068\u306e\u4ea4\u70b9\u30681\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p>x\u8ef8\u3068\u306e\u4ea4\u70b9\u304c2\u70b9\u3068\u4ed6\u306e1\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u2462\u306e\u578b\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"711\" height=\"311\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3\" class=\"wp-image-5592\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3.png 711w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3-300x131.png 300w\" sizes=\"(max-width: 711px) 100vw, 711px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c\uff1a<\/p>\n\n\n\n<p>x\u8ef8\u3068\u70b9(2,0),(5,0)\u3068\u4ea4\u308f\u308a\u3001\u70b9(1,8)\u3092\u901a\u308b2\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>x\u8ef8\u3068\u70b9(2,0),(5,0)\u3067\u4ea4\u308f\u308b\u306e\u3067\u30012\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(y=a(x-2)(x-5)\\)<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9(1,8)\u3092\u901a\u308b\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\(8=a(1-2)(1-5)\\)<br>\\(8=4a\\)<br>\\(a=2\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[y=2(x-2)(x-5)\\]<\/p>\n\n\n\n<p>\\[y=2x^{2}-14x+20\\]<\/p>\n\n\n\n<p>\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u5f0f\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3057\u305f\u304c\u3001\u5f0f\u306e\u7f6e\u304d\u65b9\u3067\u30b0\u30e9\u30d5\u304c\u3069\u3046\u5909\u308f\u308b\u304b\u3001\u8996\u899a\u7684\u306b\u898b\u3066\u307f\u305f\u3044\u4eba\u306f<a href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\" rel=\"noreferrer noopener\">Desmos\uff1a2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f<\/a>\u3092\u4f7f\u3063\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u8996\u899a\u7684\u306b\u7406\u89e3\u304c\u6df1\u307e\u308a\u307e\u3059\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n\n<p>\u4eca\u56de\u78ba\u8a8d\u3057\u305f3\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u6d3b\u7528\u3057\u3066\u3001\u6b21\u306e\u7df4\u7fd2\u554f\u984c\u306b\u6311\u6226\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1)\u3000\u9802\u70b9\u304c\u70b9(4,-3)\u3067\u3001\u70b9(2,5)\u3092\u901a\u308b\u3002<br>(2)\u3000\u8ef8\u304c\u76f4\u7dda(x=-3)\u3067\u30012\u70b9(-1,1),(-6,-4)\u3092\u901a\u308b\u3002<br>(3)\u30003\u70b9(1,10),(-1,2),(-4,5)\u3092\u901a\u308b\u3002<br>(4)\u3000(x=4)\u3067\u6700\u5927\u50246\u3092\u3068\u308a\u3001\u70b9(8,-2)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c1<\/h3>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u9802\u70b9\u304c\u70b9(4,-3)\u3067\u3001\u70b9(2,5)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u308b\u306e\u30672\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[y=a(x-4)^{2}-3\\]<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9(2,5)\u3092\u901a\u308b\u306e\u3067\u3001x,y\u306b\u4ee3\u5165\u3057\u3066<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>5&amp;=&amp;a(2-4)^{2}-3\\\\<br>5&amp;=&amp;4a-3\\\\<br>4a&amp;=&amp;8<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\\(\\displaystyle a=2\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[y=2(x-4)^{2}-3\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c2<\/h3>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u8ef8\u304c\u76f4\u7dda(x=-3)\u3067\u30012\u70b9(-1,1),(-6,-4)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u8ef8\u304c\\(x=-3\\)\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\[y=a(x+3)^{2}+q\\]<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c<\/p>\n\n\n\n<p>\u70b9(-1,1)\u3092\u901a\u308b\u304b\u3089\u3001\\(1=a(-1+3)^{2}+q\\)<br>\u70b9(-6,-4)\u3092\u901a\u308b\u306e\u3067\u3001\\(-4=a(-6+3)^{2}+q\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>1&amp;=&amp;4a+q \\cdots \u2460\\\\<br>-4&amp;=&amp;9a+q \\cdots \u2461<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u89e3\u304f\u3068\u3000\\(a=-1,q=5\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle y=-(x+3)^{2}+5\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c3<\/h3>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>3\u70b9(1,10),(-1,2),(-4,5)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>3\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c<\/p>\n\n\n\n<p>\u70b9(1,10)\u3092\u901a\u308b\u304b\u3089\u3001\\(10=a+b+c \\cdots \u2460\\)<br>\u70b9(-1,2)\u3092\u901a\u308b\u306e\u3067\u3001\\(2=a-b+c \\cdots \u2461\\)<br>\u70b9(-4,5)\u3092\u901a\u308b\u306e\u3067\u3001\\(5=16a-4b+c \\cdots \u2462\\)<\/p>\n\n\n\n<p>\u2460-\u2461\u304b\u3089\u3001\\(8=2b \\)<br>\u3088\u3063\u3066\u3001\\(b=4\\)<\/p>\n\n\n\n<p>\u2462-\u2461\u304b\u3089\u3001\\(3=15a-3b \\cdots \u2463\\)<br>\u2463\u306b\\(b=4\\)\u3092\u4ee3\u5165\u3057\u3066\u3001\\(a=1\\)<\/p>\n\n\n\n<p>\u2460\u306b\\(a=1,b=4\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(c=5\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[y=x^{2}+4x+5\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c4<\/h3>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>(x=4)\u3067\u6700\u5927\u50246\u3092\u3068\u308a\u3001\u70b9(8,-2)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u306f\u3069\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3082\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\\(x=4\\)\u3067\u6700\u5927\u5024\u3092\u3068\u308b\u3068\u3044\u3046\u306e\u306f\u9802\u70b9\u304c\u70b9(4,6)\u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u9802\u70b9\u3068\u4ed6\u306e1\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u2460\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"605\" height=\"60\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c.png\" alt=\"\u7df4\u7fd2\u554f\u984c\" class=\"wp-image-5597\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c.png 605w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c-300x30.png 300w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><\/figure>\n<\/div>\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u304c(4,6)\u306a\u306e\u30672\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[y=a(x-4)^{2}+6\\]<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9(8,-2)\u3092\u901a\u308b\u306e\u3067\u3001x,y\u306b\u4ee3\u5165\u3057\u3066<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>-2&amp;=&amp;a(8-4)^{2}+6\\\\<br>-2&amp;=&amp;16a+6\\\\<br>16a&amp;=&amp;-8<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\[\\displaystyle a=-\\frac{1}{2}\\]<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle y=-\\frac{1}{2}(x-4)^{2}+6\\]<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u306e\u89e3\u8aac\u306f\u3001<a href=\"https:\/\/www.mext.go.jp\/a_menu\/shotou\/new-cs\/1384661.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u6587\u90e8\u79d1\u5b66\u7701\uff1a\u9ad8\u7b49\u5b66\u6821\u6570\u5b66\u79d1\u306e\u5b66\u7fd2\u6307\u5c0e\u8981\u9818\uff08\u6570\u5b66\u2160\uff1a2\u6b21\u95a2\u6570\uff09<\/a>\u306e\u57fa\u6e96\u306b\u6e96\u62e0\u3057\u3001\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u3092\u4f53\u7cfb\u5316\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3\u3064\u306e\u578b<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p>\u554f\u984c\u6587\u304b\u3089\u3069\u306e\u30d1\u30bf\u30fc\u30f3\u306a\u306e\u304b\u3092\u6b63\u3057\u304f\u5224\u65ad\u3067\u304d\u308c\u3070\u30012\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f\u6c7a\u3057\u3066\u96e3\u3057\u3044\u5358\u5143\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u53cd\u5fa9\u7df4\u7fd2\u3057\u3066\u3044\u3051\u3070\u5fc5\u305a\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308b\u306e\u3067\u5b66\u6821\u306e\u554f\u984c\u96c6\u3067\u305f\u304f\u3055\u3093\u7df4\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66\u2160\u300c2\u6b21\u95a2\u6570\u300d\u306e\u4e2d\u306b\u300e\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u300f\u3068\u3044\u3046\u5206\u91ce\u304c\u3042\u308a\u307e\u3059\u306d\u3002 \u300c2\u6b21\u95a2\u6570\u306e\u5f0f\u304c\u6c42\u3081\u3089\u308c\u306a\u3044\u300d\u300c\u5f0f\u306e\u7f6e\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d \u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306b\u3064\u3044\u3066\u306e\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u3067\u306f\u3001\u554f\u984c\u6587\u3067\u4e0e\u3048\u3089\u308c\u305f\u6761\u4ef6\u304b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5594,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[21,222],"tags":[22,10,11],"class_list":["post-5586","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nizikansuu","category-math-1","tag-22","tag-a","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac<\/title>\n<meta name=\"description\" content=\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac\" \/>\n<meta property=\"og:description\" content=\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-24T08:18:17+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-11T07:26:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"\u3086\u3046\u3084\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@https:\/\/twitter.com\/mathtora\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u3086\u3046\u3084\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"11\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\"},\"author\":{\"name\":\"\u3086\u3046\u3084\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"headline\":\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac\",\"datePublished\":\"2025-12-24T08:18:17+00:00\",\"dateModified\":\"2026-02-11T07:26:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\"},\"wordCount\":305,\"commentCount\":2,\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png\",\"keywords\":[\"\u4e8c\u6b21\u95a2\u6570\",\"\u6570\u5b66\u2160A\",\"\u9ad8\u6821\u6570\u5b66\"],\"articleSection\":[\"\u4e8c\u6b21\u95a2\u6570\",\"\u6570\u5b661\"],\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\",\"url\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\",\"name\":\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png\",\"datePublished\":\"2025-12-24T08:18:17+00:00\",\"dateModified\":\"2026-02-11T07:26:36+00:00\",\"author\":{\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"description\":\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/math-travel.jp\/math-1\/2ziketei\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage\",\"url\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png\",\"contentUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png\",\"width\":1200,\"height\":630,\"caption\":\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/2ziketei\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8\",\"item\":\"https:\/\/math-travel.jp\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u6570\u5b661\",\"item\":\"https:\/\/math-travel.jp\/math-1\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/math-travel.jp\/#website\",\"url\":\"https:\/\/math-travel.jp\/\",\"name\":\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"description\":\"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/math-travel.jp\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\",\"name\":\"\u3086\u3046\u3084\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"caption\":\"\u3086\u3046\u3084\"},\"description\":\"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002\",\"sameAs\":[\"https:\/\/www.instagram.com\/mathtora\/\",\"https:\/\/x.com\/https:\/\/twitter.com\/mathtora\",\"https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac","description":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/math-travel.jp\/math-1\/2ziketei\/","og_locale":"ja_JP","og_type":"article","og_title":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac","og_description":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002","og_url":"https:\/\/math-travel.jp\/math-1\/2ziketei\/","og_site_name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","article_published_time":"2025-12-24T08:18:17+00:00","article_modified_time":"2026-02-11T07:26:36+00:00","og_image":[{"width":1200,"height":630,"url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png","type":"image\/png"}],"author":"\u3086\u3046\u3084","twitter_card":"summary_large_image","twitter_creator":"@https:\/\/twitter.com\/mathtora","twitter_misc":{"\u57f7\u7b46\u8005":"\u3086\u3046\u3084","\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593":"11\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#article","isPartOf":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/"},"author":{"name":"\u3086\u3046\u3084","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"headline":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac","datePublished":"2025-12-24T08:18:17+00:00","dateModified":"2026-02-11T07:26:36+00:00","mainEntityOfPage":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/"},"wordCount":305,"commentCount":2,"image":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png","keywords":["\u4e8c\u6b21\u95a2\u6570","\u6570\u5b66\u2160A","\u9ad8\u6821\u6570\u5b66"],"articleSection":["\u4e8c\u6b21\u95a2\u6570","\u6570\u5b661"],"inLanguage":"ja","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/math-travel.jp\/math-1\/2ziketei\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/","url":"https:\/\/math-travel.jp\/math-1\/2ziketei\/","name":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac","isPartOf":{"@id":"https:\/\/math-travel.jp\/#website"},"primaryImageOfPage":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage"},"image":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png","datePublished":"2025-12-24T08:18:17+00:00","dateModified":"2026-02-11T07:26:36+00:00","author":{"@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"description":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u30684\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u899a\u3048\u308b\u3060\u3051\uff01\u554f\u984c\u6587\u306e\u30d1\u30bf\u30fc\u30f3\u3068\u7df4\u7fd2\u554f\u984c\u3067\u4e8c\u6b21\u95a2\u6570\u306e\u5f97\u70b9\u6e90\u306e1\u3064\u306b\u3057\u3088\u3046\u3002","breadcrumb":{"@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/math-travel.jp\/math-1\/2ziketei\/"]}]},{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#primaryimage","url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png","contentUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a.png","width":1200,"height":630,"caption":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a"},{"@type":"BreadcrumbList","@id":"https:\/\/math-travel.jp\/math-1\/2ziketei\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8","item":"https:\/\/math-travel.jp\/"},{"@type":"ListItem","position":2,"name":"\u6570\u5b661","item":"https:\/\/math-travel.jp\/math-1\/"},{"@type":"ListItem","position":3,"name":"\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\uff1a3\u3064\u306e\u57fa\u672c\u5f62\u306e\u4f7f\u3044\u5206\u3051\u3092\u5fb9\u5e95\u89e3\u8aac"}]},{"@type":"WebSite","@id":"https:\/\/math-travel.jp\/#website","url":"https:\/\/math-travel.jp\/","name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","description":"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/math-travel.jp\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395","name":"\u3086\u3046\u3084","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","caption":"\u3086\u3046\u3084"},"description":"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002","sameAs":["https:\/\/www.instagram.com\/mathtora\/","https:\/\/x.com\/https:\/\/twitter.com\/mathtora","https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ"]}]}},"_links":{"self":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5586","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/comments?post=5586"}],"version-history":[{"count":16,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5586\/revisions"}],"predecessor-version":[{"id":21476,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5586\/revisions\/21476"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media\/5594"}],"wp:attachment":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media?parent=5586"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/categories?post=5586"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/tags?post=5586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}