{"id":11227,"date":"2022-11-25T15:52:56","date_gmt":"2022-11-25T06:52:56","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11227"},"modified":"2022-11-28T05:25:28","modified_gmt":"2022-11-27T20:25:28","slug":"two-circles","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/two-circles.html","title":{"rendered":"2\u3064\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\uff1a\u534a\u5f84\u3001\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3001\u5171\u901a\u63a5\u7dda"},"content":{"rendered":"\n<p>2\u3064\u306e\u5186\u304c\u5e73\u9762\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u534a\u5f84\u3068\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u3064\u306e\u5186\u304c\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u308b\u306e\u304b\u308f\u304b\u308a\u307e\u3059\u30022\u3064\u306e\u5186\u304c\u5171\u6709\u70b9\u3092\u3082\u3063\u305f\u308a\u3001\u63a5\u3057\u305f\u308a\u3059\u308b\u306a\u3069\u3001\u3053\u308c\u3089\u306e\u95a2\u4fc2\u3092\u898b\u5206\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u30012\u3064\u306e\u5186\u306e\u4ea4\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u8a08\u7b97\u3057\u305f\u308a\u30012\u3064\u306e\u5186\u306e\u4ea4\u70b9\u3092\u901a\u308b\u5186\u3092\u5f97\u305f\u308a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5fdc\u7528\u554f\u984c\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u5b66\u3070\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f2\u3064\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u3001\u5171\u901a\u63a5\u7dda\u306e\u6570\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u5171\u901a\u63a5\u7dda\u306e\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u308f\u308b\u306e\u304b\u3092\u5b66\u3073\u3001\u3055\u3089\u306b\u306f\u5171\u901a\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u304d\u51fa\u305b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6570\u5b66\u30672\u3064\u306e\u5186\u3092\u5b66\u3076\u3068\u304d\u3001\u4f4d\u7f6e\u95a2\u4fc2\u304c\u91cd\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b2\u3064\u306e\u5186\u306b\u95a2\u3059\u308b\u56f3\u5f62\u306e\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u304b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>2\u3064\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\uff1a\u534a\u5f84\u3068\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2<\/h2>\n<p>2\u3064\u306e\u5186\u304c\u5b58\u5728\u3059\u308b\u3068\u304d\u3001\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306f5\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idwj3.jpg\" alt=\"\" width=\"600\" height=\"411\" class=\"aligncenter size-full wp-image-11240\" \/><\/p>\n<p>\u4f4d\u7f6e\u95a2\u4fc2\u306b\u3088\u308a\u3001\u5171\u6709\u70b9\u306e\u6570\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u30012\u3064\u306e\u5186\u304c\u5916\u5074\u306b\u3042\u308b\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u5185\u5074\u306b\u3042\u308b\u306e\u304b\u3082\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u3053\u308c\u3089\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3092\u628a\u63e1\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u304b\u3002\u5186\u306b\u306f\u534a\u5f84\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u5186\u306e\u534a\u5f84\u3092\\(r_1\\)\u3001\\(r_2\\)\u3068\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u5186\u306e\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\\(d\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u534a\u5f84\u3068\u5186\u306e\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4f4d\u7f6e\u95a2\u4fc2\u3092\u5206\u985e\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/idwj4.jpg\" alt=\"\" width=\"700\" height=\"398\" class=\"aligncenter size-full wp-image-11241\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001<span style=\"color: #0000ff;\">\u534a\u5f84\u3068\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u56f3\u5f62\u306e\u4f4d\u7f6e\u95a2\u4fc2\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(x^2+y^2=1\\)\u3068\\((x-a)^2+(y-2)^2=4\\)\u304c\u7570\u306a\u308b2\u70b9\u3067\u4ea4\u308f\u308b\u3068\u304d\u3001\\(a\\)\u306e\u6761\u4ef6\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(x^2+y^2=1\\)\u306e\u4e2d\u5fc3\u306f\\((0,0)\\)\u3067\u3042\u308a\u3001\u534a\u5f84\u306f1\u3067\u3059\u3002\u307e\u305f\\((x-a)^2+(y-2)^2=4\\)\u306e\u4e2d\u5fc3\u306f\\((a,2)\\)\u3067\u3042\u308a\u3001\u534a\u5f84\u306f2\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\sqrt{(a-0)^2+(2-0)^2}\\)<\/p>\n<p>\\(=\\sqrt{a^2+4}\\)<\/p>\n<p>\u307e\u305f\u30012\u3064\u306e\u5186\u304c2\u70b9\u3067\u4ea4\u308f\u308b\u3068\u304d\u306f\u4ee5\u4e0b\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\\(2-1&lt;\\sqrt{a^2+4}&lt;2+1\\)<\/p>\n<p>\\(1&lt;\\sqrt{a^2+4}&lt;3\\)<\/p>\n<p>\\(1&lt;a^2+4&lt;9\\)<\/p>\n<p>\u5fc5\u305a\\(1&lt;a^2+4\\)\u3068\u306a\u308b\u305f\u3081\u3001\\(a^2+4&lt;9\\)\u306b\u7740\u76ee\u3059\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002\\(a^2+4&lt;9\\)\u3092\u89e3\u304f\u3068\u3001\\(-\\sqrt{5}&lt;a&lt;\\sqrt{5}\\)\u304c\u7b54\u3048\u3067\u3059\u3002<\/p>\n<h3>2\u5186\u306e\u4ea4\u70b9\u3092\u901a\u308b\u5186\u306e\u8a08\u7b97<\/h3>\n<p>\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u3057\u3066\\(f(x)\\)\u3068\\(g(x)\\)\u304c\u3042\u308b\u5834\u5408\u3001\u9023\u7acb\u3055\u305b\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u30012\u3064\u306e\u66f2\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u66f2\u7dda\uff08\u307e\u305f\u306f\u76f4\u7dda\uff09\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001<span style=\"color: #0000ff;\">\u5b9a\u6570\\(k\\)\u3092\u7528\u3044\u3066\\(k\u00b7f(x)+g(x)=0\\)\u3068\u3059\u308b\u3068\u3001\u66f2\u7dda\\(f(x)\\)\u3068\u66f2\u7dda\\(g(x)\\)\u3092\u3059\u3079\u3066\u901a\u308b\u66f2\u7dda\uff08\u307e\u305f\u306f\u76f4\u7dda\uff09\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p>\u66f2\u7dda\u3068\u3044\u3046\u306e\u306f\u3001\u5186\u3084\u653e\u7269\u7dda\u3092\u542b\u307f\u307e\u3059\u3002\u305d\u3053\u30672\u3064\u306e\u5186\u3092\u5229\u7528\u3057\u3066\u30012\u5186\u306e\u4ea4\u70b9\u3092\u901a\u308b\u5186\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\\(k\u00b7f(x)+g(x)=0\\)\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>2\u5186\\(x^2+y^2=4\\)\u3068\\((x+2)^2+(y-2)^2=9\\)\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<ol>\n<li>2\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4f55\u3067\u3059\u304b\u3002<\/li>\n<li>2\u3064\u306e\u5186\u306e\u5171\u6709\u70b9\u3068\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4f55\u3067\u3059\u304b\u3002<\/li>\n<\/ol>\n<p><strong>1) 2\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4f55\u3067\u3059\u304b<\/strong><\/p>\n<p>\\((x+2)^2+(y-2)^2=9\\)\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((x+2)^2+(y-2)^2=9\\)<\/p>\n<p>\\(x^2+y^2+4x-4y-1=0\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(x^2+y^2-4=0\\)\u3068\\(x^2+y^2+4x-4y-1=0\\)\u3092\u9023\u7acb\u3055\u305b\u307e\u3057\u3087\u3046\u3002\\(x^2+y^2+4x-4y-1=0\\)\u304b\u3089\\(x^2+y^2-4=0\\)\u3092\u5f15\u304f\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(4x-4y+3=0\\)<\/p>\n<p><span style=\"color: #0000ff;\">\\(4x-4y+3=0\\)\u3068\u3044\u3046\u306e\u306f\u3001\\(x^2+y^2-4=0\\)\u3068\\(x^2+y^2+4x-4y-1=0\\)\u306b\u3088\u308b2\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/span>\u305d\u306e\u305f\u3081\u3001\u7b54\u3048\u306f\\(4x-4y+3=0\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/dghr1.jpg\" alt=\"\" width=\"254\" height=\"252\" class=\"aligncenter size-full wp-image-11251\" srcset=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/dghr1.jpg 254w, https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/dghr1-150x150.jpg 150w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><\/p>\n<p><strong>2) 2\u3064\u306e\u5186\u306e\u5171\u6709\u70b9\u3068\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4f55\u3067\u3059\u304b<\/strong><\/p>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\\(k\u00b7f(x)+g(x)=0\\)\u306b\u3088\u3063\u3066\u3001\\(f(x)\\)\u3068\\(g(x)\\)\u3092\u901a\u308b\u3059\u3079\u3066\u306e\u66f2\u7dda\uff08\u307e\u305f\u306f\u76f4\u7dda\uff09\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\\(x^2+y^2-4=0\\)\u3068\\(x^2+y^2+4x-4y-1=0\\)\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(k(x^2+y^2-4)\\)\\(+(x^2+y^2+4x-4y-1)\\)\\(=0\\)<\/p>\n<p>\\(k=-1\\)\u306e\u5834\u5408\u3001\\(4x-4y+3=0\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5148\u307b\u3069\u8a08\u7b97\u3057\u305f\u300c2\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u76f4\u7dda\u300d\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3001\u79c1\u305f\u3061\u304c\u5f97\u305f\u3044\u306e\u306f2\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308a\u3001\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u5186\u3067\u3059\u3002<span style=\"color: #ff0000;\">\\(k\u2260-1\\)\u306e\u5834\u5408\u30012\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u66f2\u7dda\uff08\u4eca\u56de\u306e\u554f\u984c\u3067\u306f\u5186\uff09\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p>\u305d\u3053\u3067\u3001\\(k\\)\u306e\u5024\u304c\u4f55\u3067\u3042\u308c\u3070\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u306e\u304b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u305f\u3081\u3001\u5148\u307b\u3069\u306e\u5f0f\u306b\\((0,-3)\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(k(x^2+y^2-4)\\)\\(+(x^2+y^2+4x-4y-1)\\)\\(=0\\)<\/p>\n<p>\\(k(0+9-4)+(0+9+0+12-1)=0\\)<\/p>\n<p>\\(5k+20=0\\)<\/p>\n<p>\\(k=-4\\)<\/p>\n<p>\u70b9\\((0,-3)\\)\u3092\u901a\u308b\u305f\u3081\u306b\u306f\u3001\\(k=-4\\)\u3067\u3042\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(k=-4\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(-4(x^2+y^2-4)\\)\\(+(x^2+y^2+4x-4y-1)\\)\\(=0\\)<\/p>\n<p>\\(-3x^2-3y^2+4x-4y+15=0\\)<\/p>\n<p>\\(3x^2+3y^2-4x+4y-15=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u3072\u3068\u3064\u306e\u70b9\u30682\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u5186\u3068\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u5186<\/h3>\n<p>\u5148\u307b\u3069\u30012\u3064\u306e\u5186\u306b\u5bfe\u3059\u308b\u5171\u6709\u70b9\u3092\u5229\u7528\u3057\u3001\u5171\u6709\u70b9\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u3067\u306f\u3001\u5186\u3068\u76f4\u7dda\u306e\u5171\u6709\u70b9\u306b\u5bfe\u3057\u3066\u3001\u5171\u6709\u70b9\u3092\u901a\u308b\u5186\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u65b9\u6cd5\u306f\u540c\u3058\u3067\u3042\u308a\u3001\\(k\u00b7f(x)+g(x)=0\\)\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u5186\\(x^2+y^2=25\\)\u3068\u76f4\u7dda\\(y=x+1\\)\u306b\u3064\u3044\u3066\u30012\u3064\u306e\u4ea4\u70b9\u3068\u539f\u70b9O\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(f(x)=x-y+1\\)\u3001\\(g(x)=x^2+y^2-25\\)\u3068\u3059\u308b\u3068\u3001\u5186\u3068\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u66f2\u7dda\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(k(x-y+1)+(x^2+y^2-25)=0\\)<\/p>\n<p>\u539f\u70b9\u3092\u901a\u308b\u305f\u3081\u3001\\((0,0)\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u3059\u308b\u3068\u3001\\(k=25\\)\u3068\u306a\u308a\u307e\u3059\u3002\\(k=25\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(25(x-y+1)+(x^2+y^2-25)=0\\)<\/p>\n<p>\\(x^2+y^2+25x-25y=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u30012\u3064\u306e\u5171\u6709\u70b9\u3092\u901a\u308a\u3001\u304b\u3064\u539f\u70b9O\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>2\u3064\u306e\u5186\u306b\u5bfe\u3059\u308b\u5171\u901a\u63a5\u7dda\u306e\u672c\u6570<\/h2>\n<p>2\u3064\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u306f\u3001\u5171\u6709\u63a5\u7dda\u306e\u672c\u6570\u3092\u8003\u3048\u308b\u3068\u304d\u3082\u91cd\u8981\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3001<span style=\"color: #0000ff;\">\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u5171\u6709\u63a5\u7dda\u306e\u6570\u304c\u5909\u5316\u3059\u308b<\/span>\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/dghr2.jpg\" alt=\"\" width=\"600\" height=\"393\" class=\"aligncenter size-full wp-image-11252\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u5171\u901a\u63a5\u7dda\u306e\u6570\u306f1\u3064\u305a\u3064\u5909\u5316\u3057\u307e\u3059\u30022\u3064\u306e\u5186\u306b\u3064\u3044\u3066\u3001\u5171\u6709\u63a5\u7dda\u306e\u6700\u5927\u6570\u306f4\u3067\u3042\u308a\u3001\u6700\u5c0f\u6570\u306f0\u3067\u3059\u3002<\/p>\n<p>\u6570\u5b66\u3067\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u3001\u4e8b\u524d\u306b\u7b54\u3048\u306e\u6570\u3092\u77e5\u3063\u3066\u3044\u308b\u3068\u4fbf\u5229\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3068\u5171\u6709\u63a5\u7dda\u306e\u6570\u3092\u628a\u63e1\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u5171\u901a\u63a5\u7dda\u3092\u5f97\u308b\u7df4\u7fd2\u554f\u984c<\/h3>\n<p>\u305d\u308c\u3067\u306f2\u3064\u306e\u5186\u306b\u3064\u3044\u3066\u3001\u5171\u6709\u63a5\u7dda\u3092\u5f97\u308b\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u308a\u3001\u5171\u6709\u63a5\u7dda\u3092\u5f97\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>2\u5186\\(x^2+y^2=4\\)\u3068\\((x-4)^2+y^2=1\\)\u306e\u5171\u6709\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u56f3\u3092\u63cf\u304f\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5171\u6709\u63a5\u7dda\u306f4\u3064\u3067\u3042\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\/dghr3.jpg\" alt=\"\" width=\"452\" height=\"291\" class=\"aligncenter size-full wp-image-11255\" \/><\/p>\n<p>\u307e\u305a\u3001\u5186\\(x^2+y^2=4\\)\u3068\u5171\u6709\u63a5\u7dda\u306e\u4ea4\u70b9\u5ea7\u6a19\u3092\\((a,b)\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\\((a,b)\\)\u306f\u5186\u4e0a\u306e\u70b9\u3067\u3042\u308b\u305f\u3081\u3001\\(a^2+b^2=4\\)\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u5186\\(x^2+y^2=4\\)\u4e0a\u306e\u70b9\\((a,b)\\)\u306e\u63a5\u7dda\u306f\\(ax+by=4\\)\u3068\u306a\u308a\u307e\u3059\u3002\u306a\u304a\u63a5\u7dda\u3068\u5186\u306e\u4e2d\u5fc3\u3068\u306e\u8ddd\u96e2\u306f\u5186\u306e\u534a\u5f84\u3067\u3059\u3002\u3064\u307e\u308a\u3001\\(ax+by-4=0\\)\u3068\u5186\\((x-4)^2+y^2=1\\)\u306e\u4e2d\u5fc3\\((4,0)\\)\u3068\u306e\u8ddd\u96e2\u306f1\u3068\u306a\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{|4a+0-4|}{\\sqrt{a^2+b^2}}=1\\)<\/p>\n<p>\\(\\displaystyle\\frac{|4a-4|}{\\sqrt{a^2+b^2}}=1\\)<\/p>\n<p>\\(a^2+b^2=4\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{|4a-4|}{\\sqrt{4}}=1\\)<\/p>\n<p>\\(|4a-4|=2\\)<\/p>\n<p>\\(|2a-2|=1\\)<\/p>\n<p>\\(2a-2=\u00b11\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{1}{2},\\displaystyle\\frac{3}{2}\\)<\/p>\n<p><strong>\u30fb\\(a=\\displaystyle\\frac{1}{2}\\)\u306e\u5834\u5408<\/strong><\/p>\n<p>\\(a^2+b^2=4\\)\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{4}+b^2=4\\)<\/p>\n<p>\\(b^2=\\displaystyle\\frac{15}{4}\\)<\/p>\n<p>\\(b=\u00b1\\displaystyle\\frac{\\sqrt{15}}{2}\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{1}{2}\\)\u3001\\(b=\u00b1\\displaystyle\\frac{\\sqrt{15}}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(ax+by=4\\)<\/p>\n<p>\\(\\displaystyle\\frac{x}{2}\u00b1\\displaystyle\\frac{\\sqrt{15y}}{2}=4\\)<\/p>\n<p>\\(x\u00b1\\sqrt{15}y=8\\)<\/p>\n<p><strong>\u30fb\\(a=\\displaystyle\\frac{3}{2}\\)\u306e\u5834\u5408<\/strong><\/p>\n<p>\\(a^2+b^2=4\\)\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{9}{4}+b^2=4\\)<\/p>\n<p>\\(b^2=\\displaystyle\\frac{7}{4}\\)<\/p>\n<p>\\(b=\u00b1\\displaystyle\\frac{\\sqrt{7}}{2}\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{3}{2}\\)\u3001\\(b=\u00b1\\displaystyle\\frac{\\sqrt{7}}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(ax+by=4\\)<\/p>\n<p>\\(\\displaystyle\\frac{3x}{2}\u00b1\\displaystyle\\frac{\\sqrt{7y}}{2}=4\\)<\/p>\n<p>\\(3x\u00b1\\sqrt{7}y=8\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u30014\u3064\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u7b54\u3048\u306e\u6570\u3092\u4e8b\u524d\u306b\u4e88\u6e2c\u3067\u304d\u3066\u3044\u308b\u305f\u3081\u3001\u7b54\u3048\u304c4\u3064\u3042\u3063\u3066\u3082\u554f\u984c\u306a\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>2\u3064\u306e\u5186\u3092\u5229\u7528\u3059\u308b\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308b<\/h2>\n<p>2\u3064\u306e\u5186\u304c\u95a2\u308f\u308b\u554f\u984c\u3067\u306f\u3001\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3092\u628a\u63e1\u3057\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u534a\u5f84\u3068\u4e2d\u5fc3\u3068\u306e\u8ddd\u96e2\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u304b\u308f\u304b\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f2\u3064\u306e\u66f2\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u66f2\u7dda\u3084\u76f4\u7dda\u306b\u3064\u3044\u3066\u3001\u5b9a\u6570\\(k\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8868\u305b\u307e\u3059\u30022\u3064\u306e\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c\u305d\u308c\u305e\u308c\\(f(x)\\)\u3068\\(g(x)\\)\u306a\u306e\u3067\u3042\u308c\u3070\u3001\\(k\u00b7f(x)+g(x)=0\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a2\u3064\u306e\u5186\u304c\u3042\u308b\u5834\u5408\u3001\u5171\u901a\u63a5\u7dda\u3092\u5f15\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u30012\u3064\u306e\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u5171\u901a\u63a5\u7dda\u306e\u6570\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5171\u901a\u63a5\u7dda\u306e\u6570\u304c\u4f55\u672c\u306b\u306a\u308b\u306e\u304b\u628a\u63e1\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5171\u901a\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u7b54\u3048\u306e\u6570\u3092\u4e8b\u524d\u306b\u4e88\u60f3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>2\u3064\u306e\u5186\u3092\u5229\u7528\u3059\u308b\u554f\u984c\u3067\u306f\u3001\u5186\u306e\u4f4d\u7f6e\u95a2\u4fc2\u304c\u91cd\u8981\u3067\u3042\u308a\u3001\u89e3\u304d\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2\u3064\u306e\u5186\u304c\u5e73\u9762\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u534a\u5f84\u3068\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u3064\u306e\u5186\u304c\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u95a2\u4fc2\u306b\u306a\u308b\u306e\u304b\u308f\u304b\u308a\u307e\u3059\u30022\u3064\u306e\u5186\u304c\u5171\u6709\u70b9\u3092\u3082\u3063\u305f\u308a\u3001\u63a5\u3057\u305f\u308a\u3059\u308b\u306a\u3069\u3001\u3053\u308c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11256,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11227","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11227","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=11227"}],"version-history":[{"count":11,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11227\/revisions"}],"predecessor-version":[{"id":11332,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11227\/revisions\/11332"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/11256"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}