{"id":11291,"date":"2022-11-27T17:32:38","date_gmt":"2022-11-27T08:32:38","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11291"},"modified":"2022-11-30T05:29:16","modified_gmt":"2022-11-29T20:29:16","slug":"inequality","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/inequality.html","title":{"rendered":"\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\uff1a\u9818\u57df\u3067\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3001\u56f3\u5f62\u306e\u901a\u904e\u9818\u57df"},"content":{"rendered":"\n<p>\u6570\u5f0f\u3067\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7279\u5b9a\u306e\u9818\u57df\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7279\u5b9a\u306e\u9818\u57df\u3088\u308a\u3082\u5927\u304d\u3044\u6570\u3001\u307e\u305f\u306f\u5c0f\u3055\u3044\u6570\u3092\u8a18\u3059\u306e\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u305f\u308a\u3001\u7d76\u5bfe\u5024\u3092\u542b\u3093\u3060\u308a\u3059\u308b\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u304c\u8868\u3059\u9818\u57df\u306f\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u3068\u304d\u304b\u3051\u7b97\u3092\u542b\u3080\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u3001\u4e0d\u7b49\u5f0f\u304c\u8868\u3059\u9818\u57df\u306f\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u4e0d\u7b49\u5f0f\u304c\u8868\u3059\u9818\u57df\u306b\u3064\u3044\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u7279\u5b9a\u306e\u9818\u57df\u306e\u4e2d\u3067\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3068\u3044\u3046\u306e\u306f\u3001\u898b\u3064\u3051\u65b9\u304c\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002\u9802\u70b9\u3084\u5883\u754c\u7dda\u3001\u89d2\u3001\u63a5\u70b9\u306a\u3069\u306b\u7740\u76ee\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u4e0d\u7b49\u5f0f\u304c\u8868\u3059\u9818\u57df\u3092\u56f3\u793a\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4e0d\u7b49\u5f0f\u3092\u542b\u3080\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df<\/h2>\n<p>\u305d\u308c\u305e\u308c\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u3001\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u5185\u5bb9\u306f\u96e3\u3057\u304f\u306a\u304f\u3001\u76f4\u7dda\u3084\u653e\u7269\u7dda\u3001\u5186\u306b\u3064\u3044\u3066\u3001\u4e0d\u7b49\u5f0f\u306e\u5411\u304d\u3068\u9818\u57df\u306e\u95a2\u4fc2\u3092\u5b66\u3076\u306e\u3067\u3059\u3002\u305d\u308c\u305e\u308c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u76f4\u7dda<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/eqjh5.jpg\" alt=\"\" width=\"600\" height=\"229\" class=\"aligncenter size-full wp-image-11292\" \/><\/p>\n<p>\\(y&gt;ac+b\\)\u3068\u3044\u3046\u306e\u306f\u3001\u76f4\u7dda\\(y=ac+b\\)\u3088\u308a\u3082\\(y\\)\u306e\u5024\u304c\u5927\u304d\u3044\u5834\u6240\u3092\u6307\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\\(y&lt;ac+b\\)\u3067\u306f\u305d\u306e\u53cd\u5bfe\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u653e\u7269\u7dda<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw2.jpg\" alt=\"\" width=\"600\" height=\"233\" class=\"aligncenter size-full wp-image-11305\" \/><\/p>\n<p>\\(y&gt;f(x)\\)\u3067\u306f\u3001\\(f(x)\\)\u3088\u308a\u3082\\(y\\)\u306e\u5024\u304c\u5927\u304d\u3044\u9818\u57df\u3092\u6307\u3057\u307e\u3059\u3002\u305d\u308c\u306b\u5bfe\u3057\u3066\\(y&lt;f(x)\\)\u3067\u306f\u3001\\(f(x)\\)\u3088\u308a\u3082\\(y\\)\u306e\u5024\u304c\u5c0f\u3055\u3044\u9818\u57df\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u5186<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw3.jpg\" alt=\"\" width=\"600\" height=\"261\" class=\"aligncenter size-full wp-image-11306\" \/><\/p>\n<p>\\(r\\)\u306f\u534a\u5f84\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\\((x-a)^2+(y-b)^2&gt;r^2\\)\u306f\u534a\u5f84\\(r\\)\u306e\u5916\u5074\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\\((x-a)^2+(y-b)^2&lt;r^2\\)\u306f\u534a\u5f84\\(r\\)\u306e\u5185\u5074\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u305e\u308c\u306e\u65b9\u7a0b\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u7406\u89e3\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u306e\u5411\u304d\u3068\u9818\u57df\u306e\u5834\u6240\u3092\u95a2\u9023\u4ed8\u3051\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002<\/p>\n<h3>\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\u3088\u308b\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df<\/h3>\n<p>\u305d\u308c\u3067\u306f2\u3064\u306e\u65b9\u7a0b\u5f0f\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u306b\u3088\u308b\u9818\u57df\u306f\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #0000ff;\">\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\u3088\u308b\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3067\u306f\u3001\u4e21\u65b9\u306e\u5f0f\u3092\u6e80\u305f\u3059\u9818\u57df\u3092\u7b54\u3048\u307e\u3057\u3087\u3046\u3002<\/span>\u305d\u308c\u3067\u306f\u4ee5\u4e0b\u306e\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u3068\u3001\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u304b\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}x^2+y^2&lt;4\\\\y&lt;x-1\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u3053\u306e\u5f0f\u306e\u610f\u5473\u306f\u300c\\(x^2+y^2&lt;4\\)\u3001\u304b\u3064\\(y&lt;x-1\\)\u3092\u6e80\u305f\u3059\u9818\u57df\u300d\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u306e\u610f\u5473\u3092\u7406\u89e3\u3059\u308c\u3070\u3001\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u307e\u305a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u305d\u308c\u305e\u308c\u306e\u5f0f\u306b\u3064\u3044\u3066\u9818\u57df\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw4.jpg\" alt=\"\" width=\"600\" height=\"315\" class=\"aligncenter size-full wp-image-11307\" \/><\/p>\n<p>\u305d\u306e\u5f8c\u30012\u3064\u306e\u5f0f\u3092\u6e80\u305f\u3059\u9818\u57df\u3092\u56f3\u793a\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw5.jpg\" alt=\"\" width=\"562\" height=\"283\" class=\"aligncenter size-full wp-image-11309\" \/><\/p>\n<p>\u203b\u5883\u754c\u7dda\u306f\u9818\u57df\u306b\u542b\u307e\u306a\u3044\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u304c\u300c\u304b\u3064\uff08\uff06\uff09\u300d\u3092\u610f\u5473\u3059\u308b\u3053\u3068\u3092\u7406\u89e3\u3059\u308c\u3070\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u7d76\u5bfe\u5024\u3092\u542b\u3080\u5834\u5408\u306e\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df<\/h3>\n<p>\u6b21\u306b\u7d76\u5bfe\u5024\u3092\u542b\u3080\u5834\u5408\u306b\u3064\u3044\u3066\u3001\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<span style=\"color: #0000ff;\">\u7d76\u5bfe\u5024\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u7d76\u5bfe\u5024\u3092\u5916\u3059\u3068\u304d\u306b\u5834\u5408\u5206\u3051\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/span>\u7d76\u5bfe\u5024\u3092\u5916\u3059\u3068\u304d\u3001\u30d7\u30e9\u30b9\u307e\u305f\u306f\u30de\u30a4\u30ca\u30b9\u3092\u52a0\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u4ee5\u4e0b\u306e\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u3068\u3001\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(|x+y|&lt;1\\)<\/li>\n<\/ul>\n<p>\u7d76\u5bfe\u5024\u3092\u5916\u3059\u3068\u304d\u3001\u7d76\u5bfe\u5024\u306e\u4e2d\u304c\u30d7\u30e9\u30b9\u306a\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u30de\u30a4\u30ca\u30b9\u306a\u306e\u304b\u306b\u3088\u3063\u3066\u5834\u5408\u5206\u3051\u3092\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e2\u30d1\u30bf\u30fc\u30f3\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x+y&lt;1\\)<\/li>\n<li>\\(-(x+y)&lt;1\\)<\/li>\n<\/ul>\n<p>\\(-(x+y)&lt;1\\)\u306f\\(x+y&gt;-1\\)\u3067\u3059\u3002\u3064\u307e\u308a\\(x+y&lt;1\\)\u3001\u304b\u3064\\(x+y&gt;-1\\)\u306e\u9818\u57df\u3092\u56f3\u793a\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7b54\u3048\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw7.jpg\" alt=\"\" width=\"567\" height=\"285\" class=\"aligncenter size-full wp-image-11311\" \/><\/p>\n<p>\u203b\u5883\u754c\u7dda\u306f\u9818\u57df\u306b\u542b\u307e\u306a\u3044\u3002<\/p>\n<p>\u6b21\u306b\u3001\u4ee5\u4e0b\u306e\u9818\u57df\u3092\u56f3\u793a\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(|x|+|y|&lt;1\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\u7d76\u5bfe\u5024\u3092\u5916\u3059\u305f\u3081\u306b4\u3064\u306e\u5834\u5408\u5206\u3051\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x&gt;0,y&gt;0\\)\uff1a\\(x+y&lt;1\\)<\/li>\n<li>\\(x&lt;0,y&gt;0\\)\uff1a\\(-x+y&lt;1\\)<\/li>\n<li>\\(x&gt;0,y&lt;0\\)\uff1a\\(x-y&lt;1\\)<\/li>\n<li>\\(x&lt;0,y&lt;0\\)\uff1a\\(-x-y&lt;1\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u3059\u3079\u3066\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u9818\u57df\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw8.jpg\" alt=\"\" width=\"567\" height=\"285\" class=\"aligncenter size-full wp-image-11312\" \/><\/p>\n<p>\u203b\u5883\u754c\u7dda\u306f\u9818\u57df\u306b\u542b\u307e\u306a\u3044\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u3001\u7d76\u5bfe\u5024\u3092\u5916\u3059\u3068\u304d\u306f\u30d7\u30e9\u30b9\u3068\u30de\u30a4\u30ca\u30b9\u3067\u5834\u5408\u5206\u3051\u3092\u3059\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u304b\u3051\u7b97\u3092\u542b\u3080\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u306e\u8868\u3059\u9818\u57df\u306f\u3069\u3046\u306a\u308b\u306e\u304b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5f0f\u304c\u304b\u3051\u7b97\u3092\u542b\u3080\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u3001\u5834\u5408\u5206\u3051\u3092\u3059\u308b\u3053\u3068\u3067\u9818\u57df\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u5f0f\u306b\u3064\u3044\u3066\u9818\u57df\u3092\u56f3\u793a\u3059\u308b\u3068\u3001\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\((x+y-2)(y-x^2)&gt;0\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\\(x+y-2\\)\u3068\\(y-x^2\\)\u306e\u4e21\u65b9\u304c0\u3088\u308a\u3082\u5927\u304d\u3044\u5834\u5408\u3001\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u307e\u305f\u306f\u3001\\(x+y-2\\)\u3068\\(y-x^2\\)\u306e\u4e21\u65b9\u304c0\u3088\u308a\u3082\u5c0f\u3055\u3044\u5834\u5408\uff08\u4e21\u65b9\u3068\u3082\u5024\u304c\u30de\u30a4\u30ca\u30b9\u306e\u5834\u5408\uff09\u306b\u3064\u3044\u3066\u3082\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u3092\u8003\u3048\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}y&gt;-x+2\\\\y&gt;x^2\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u307e\u305f\u306f<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}y&lt;-x+2\\\\y&lt;x^2\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u305d\u3053\u30672\u3064\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u3001\u305d\u308c\u305e\u308c\u9818\u57df\u3092\u56f3\u793a\u3057\u305f\u5f8c\u306b\u8db3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw9.jpg\" alt=\"\" width=\"551\" height=\"286\" class=\"aligncenter size-full wp-image-11313\" \/><\/p>\n<p>\u203b\u5883\u754c\u7dda\u306f\u9818\u57df\u306b\u542b\u307e\u306a\u3044\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u56f3\u793a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u304b\u3051\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u7b26\u53f7\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u4e00\u6b21\u5f0f\u3067\u306e\u9818\u57df\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024<\/h2>\n<p>\u305d\u308c\u3067\u306f\u4e0d\u7b49\u5f0f\u304c\u8868\u3059\u9818\u57df\u306b\u3064\u3044\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u9818\u57df\u3092\u56f3\u793a\u3057\u305f\u5f8c\u3001\\(f(x,y)=k\\)\u3068\u3057\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u304b\u306a\u3044\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3067\u304d\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(y\u2266x\\)\u3001\\(x-2y\u22661\\)\u3001\\(2x-y\u22662\\)\u3092\u3059\u3079\u3066\u6e80\u305f\u3059\\(x\\)\u3068\\(y\\)\u306b\u3064\u3044\u3066\u3001\\(x+4y\\)\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u9818\u57df\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw12-1.jpg\" alt=\"\" width=\"530\" height=\"320\" class=\"aligncenter size-full wp-image-11384\" \/><\/p>\n<p>\u203b\u5883\u754c\u7dda\u306f\u9818\u57df\u306b\u542b\u3080\u3002<\/p>\n<p>\u6b21\u306b\\(x+4y=k\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068\u3001\\(y=-\\displaystyle\\frac{1}{4}x+\\displaystyle\\frac{k}{4}\\)\u306e\u76f4\u7dda\u3067\u3042\u308a\u3001\u50be\u304d\\(-\\displaystyle\\frac{1}{4}\\)\u3001\u5207\u7247\\(\\displaystyle\\frac{k}{4}\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f<span style=\"color: #0000ff;\">\\(k\\)\u306e\u5024\u304c\u6700\u5927\u306b\u306a\u308b\u5834\u6240\u306f\u3069\u3053\u3067\u3057\u3087\u3046\u304b\u3002<\/span>\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u5207\u7247\\(\\displaystyle\\frac{k}{4}\\)\u304c\u6700\u5927\u306b\u306a\u308b\u5834\u5408\u3001\u56f3\u3067\u3069\u306e\u5834\u6240\u3092\u901a\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u56f3\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\u76f4\u7dda\\(y=-\\displaystyle\\frac{1}{4}x+\\displaystyle\\frac{k}{4}\\)\u304c\\((2,2)\\)\u3092\u901a\u308b\u3068\u304d\u3001\\(k\\)\u306e\u5024\u304c\u6700\u5927\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw11.jpg\" alt=\"\" width=\"588\" height=\"312\" class=\"aligncenter size-full wp-image-11315\" \/><\/p>\n<p>\u305d\u3053\u3067\\(x+4y=k\\)\u306b\\((2,2)\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(k=10\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u5207\u7247\\(\\displaystyle\\frac{k}{4}\\)\u304c\u6700\u5c0f\u306b\u306a\u308b\u5834\u5408\u3001\u56f3\u306e\u3069\u306e\u5834\u6240\u3092\u901a\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u56f3\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\u76f4\u7dda\\(y=-\\displaystyle\\frac{1}{4}x+\\displaystyle\\frac{k}{4}\\)\u304c\\((-1,-1)\\)\u3092\u901a\u308b\u3068\u304d\u3001\\(k\\)\u306e\u5024\u304c\u6700\u5c0f\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw12.jpg\" alt=\"\" width=\"600\" height=\"312\" class=\"aligncenter size-full wp-image-11316\" \/><\/p>\n<p>\u305d\u3053\u3067\\(x+4y=k\\)\u306b\\((-1,-1)\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(k=-5\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u6700\u5927\u5024\\(10\\)\u3068\u6700\u5c0f\u5024\\(-5\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u653e\u7269\u7dda\u3084\u5186\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u3067\u306f\u89d2\u3084\u63a5\u70b9\u306b\u7740\u76ee\u3059\u308b<\/h3>\n<p>\u306a\u304a\u653e\u7269\u7dda\u3084\u5186\u3092\u542b\u3080\u5f0f\u306b\u3064\u3044\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u89d2\u306b\u52a0\u3048\u3066\u3001\u63a5\u70b9\u306b\u7740\u76ee\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u3092\u5f97\u3089\u308c\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u984c\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x\\)\u3068\\(y\\)\u304c\\(x^2+y^2\u22664\\)\u3001\\(x\u22660\\)\u3092\u6e80\u305f\u3059\u3068\u304d\u3001\\(-x+y\\)\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u56f3\u3092\u63cf\u304f\u3068\u9818\u57df\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw13.jpg\" alt=\"\" width=\"294\" height=\"267\" class=\"aligncenter size-full wp-image-11317\" \/><\/p>\n<p>\u6b21\u306b\\(-x+y=k\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u3064\u307e\u308a\u3001\\(y=x+k\\)\u3067\u3059\u3002\u6700\u5c0f\u5024\u3092\u5f97\u308b\u306e\u306f\u7c21\u5358\u3067\u3042\u308a\u3001\\(k\\)\u306e\u5024\u304c\u6700\u5c0f\u3068\u306a\u308b\u305f\u3081\u306b\u306f\u3001\\((0,-2)\\)\u3092\u901a\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u5c0f\u5024\u306f\\(k=-2\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw14.jpg\" alt=\"\" width=\"401\" height=\"267\" class=\"aligncenter size-full wp-image-11318\" \/><\/p>\n<p>\u4e00\u65b9\u3067<span style=\"color: #0000ff;\">\u6700\u5927\u5024\u3092\u5f97\u308b\u305f\u3081\u306b\u306f\u3001\u5186\u306e\u63a5\u70b9\u3092\u901a\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/span>\u305d\u3053\u3067\u3001\u76f4\u7dda\u3068\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u9023\u7acb\u3057\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\\(y=x+k\\)\u3068\\(x^2+y^2=4\\)\u3092\u9023\u7acb\u3055\u305b\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(x^2+y^2=4\\)<\/p>\n<p>\\(x^2+(x+k)^2=4\\)<\/p>\n<p>\\(2x^2+2kx+k^2-4=0\\)<\/p>\n<p><span style=\"color: #ff0000;\">\u76f4\u7dda\u3068\u5186\u304c\u63a5\u3059\u308b\u305f\u3081\u306b\u306f\u3001\\(2x^2+2kx+k^2-4=0\\)\u304c\u91cd\u89e3\u3092\u3082\u3064\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\u5224\u5225\u5f0f\\(D\\)\u304c0\u306b\u306a\u308b\u5024\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((2k)^2-4\u00d72\u00d7(k^2-4)=0\\)<\/p>\n<p>\\(4k^2-8k^2+32=0\\)<\/p>\n<p>\\(k^2=8\\)<\/p>\n<p>\\(k=\u00b12\\sqrt{2}\\)<\/p>\n<p>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f2\u3064\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u56f3\u3088\u308a\u3001\u5186\u306e\u5de6\u4e0a\u3067\u63a5\u3059\u308b\u5186\u304c\u6b63\u89e3\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u5207\u7247\\(k\\)\u306e\u5024\u304c\u30d7\u30e9\u30b9\u3067\u3042\u308b\\(k=2\\sqrt{2}\\)\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idhw15.jpg\" alt=\"\" width=\"344\" height=\"305\" class=\"aligncenter size-full wp-image-11319\" 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