{"id":11218,"date":"2022-11-23T16:06:00","date_gmt":"2022-11-23T07:06:00","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11218"},"modified":"2022-11-27T05:29:28","modified_gmt":"2022-11-26T20:29:28","slug":"circle-and-line","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/circle-and-line.html","title":{"rendered":"\u5186\u3068\u76f4\u7dda\uff1a\u5171\u6709\u70b9\u30fb\u91cd\u89e3\u3068\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f"},"content":{"rendered":"\n<p>\u56f3\u5f62\u3067\u306f\u3001\u5186\u3068\u76f4\u7dda\u306b\u95a2\u3059\u308b\u554f\u984c\u3092\u51fa\u984c\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3084\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u5224\u5225\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5186\u3068\u76f4\u7dda\u304c\u5171\u6709\u70b9\u3092\u3082\u3064\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u3078\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u89e3\u3092\u5f97\u305f\u308a\u3001\u5171\u6709\u70b9\u306e\u6570\u3092\u628a\u63e1\u3057\u305f\u308a\u3067\u304d\u308b\u306e\u3067\u3059\u3002\u307e\u305f\u3001\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3082\u7406\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u76f4\u7dda\u304c\u5186\u306b\u5bfe\u3057\u3066\u63a5\u7dda\u3068\u306a\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u5186\u306e\u63a5\u7dda\u306b\u3064\u3044\u3066\u306f\u3001\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u5186\u3068\u76f4\u7dda\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u76f4\u7dda\u3068\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u3001\u89e3\u3092\u5f97\u308b<\/h2>\n<p>2\u3064\u306e\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u5f97\u308b\u305f\u3081\u306b\u306f\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u3051\u3070\u3044\u3044\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u4e00\u65b9\u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u76f4\u7dda\u3068\u5186\u306e\u4ea4\u70b9\u306b\u3064\u3044\u3066\u3082\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u89e3\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\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>\u5186\\(x^2+y^2=4\\)\u3068\u76f4\u7dda\\(y=x+2\\)\u306e\u4ea4\u70b9\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u7b54\u3048\u3092\u5f97\u308b\u305f\u3081\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x^2+(x+2)^2=4\\)<\/p>\n<p>\\(2x^2+4x=0\\)<\/p>\n<p>\\(x(x+2)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=-2,0\\)\u3067\u5186\u3068\u76f4\u7dda\u304c\u4ea4\u308f\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u307e\u305f\\(x\\)\u5ea7\u6a19\u3092\u5229\u7528\u3057\u3066\\(y\\)\u5ea7\u6a19\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\\((-2,0)\\)\u3068\\((0,2)\\)\u304c\u7b54\u3048\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\uff1a\u5224\u5225\u5f0f\u3092\u5229\u7528\u3057\u3066\u89e3\u306e\u6570\u3092\u78ba\u8a8d\u3059\u308b<\/h3>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u4ea4\u70b9\u306e\u5ea7\u6a19\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u5341\u5206\u306a\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u5224\u5225\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3067\u306f\u3001\u4e3b\u306b\u4ee5\u4e0b\u306e3\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5186\u3068\u76f4\u7dda\u304c2\u70b9\u3067\u4ea4\u308f\u308b<\/li>\n<li>\u5186\u3068\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308b\uff1a\u5186\u3068\u76f4\u7dda\u304c\u63a5\u3059\u308b<\/li>\n<li>\u5186\u3068\u76f4\u7dda\u306f\u5171\u6709\u70b9\u3092\u3082\u305f\u306a\u3044<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/iwh2.jpg\" alt=\"\" width=\"566\" height=\"169\" class=\"aligncenter size-full wp-image-11220\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u305d\u308c\u305e\u308c\u4f4d\u7f6e\u95a2\u4fc2\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068\u3001\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001<span style=\"color: #0000ff;\">\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u5224\u5225\u5f0f\\(D\\)\u304c\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/span>\u305d\u306e\u305f\u3081\u3001\u5224\u5225\u5f0f\u3068\u89e3\u306e\u6570\u306b\u306f\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(D&gt;0\\)\uff1a\u5186\u3068\u76f4\u7dda\u304c2\u70b9\u3067\u4ea4\u308f\u308b<\/li>\n<li>\\(D=0\\)\uff1a\u5186\u3068\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308b\uff1a\u5186\u3068\u76f4\u7dda\u304c\u63a5\u3059\u308b<\/li>\n<li>\\(D&lt;0\\)\uff1a\u5186\u3068\u76f4\u7dda\u306f\u5171\u6709\u70b9\u3092\u3082\u305f\u306a\u3044<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u5186\\(x^2+y^2=4\\)\u3068\u76f4\u7dda\\(y=2x+k\\)\u304c2\u3064\u306e\u5171\u6709\u70b9\u3092\u3082\u3064\u3068\u304d\u3001\u5b9a\u6570\\(k\\)\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u5186\u3068\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u524d\u8ff0\u306e\u901a\u308a\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x^2+(2x+k)^2=4\\)<\/p>\n<p>\\(5x^2+4kx+k^2-4=0\\)<\/p>\n<p>\u3053\u306e\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u304c\u89e3\u30922\u3064\u3082\u3066\u3070\u3001\u5186\u3068\u76f4\u7dda\u306f2\u3064\u306e\u5171\u6709\u70b9\u3092\u3082\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5224\u5225\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((4k)^2-4\u00d75\u00d7(k^2-4)&gt;0\\)<\/p>\n<p>\\(16k^2-20k^2+80&gt;0\\)<\/p>\n<p>\\(-k^2+20&gt;0\\)<\/p>\n<p>\\(k^2&lt;20\\)<\/p>\n<p>\\(-2\\sqrt{5}&lt;k&lt;2\\sqrt{5}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(-2\\sqrt{5}&lt;k&lt;2\\sqrt{5}\\)\u306e\u3068\u304d\u306b\u5186\u3068\u76f4\u7dda\u306f2\u3064\u306e\u5171\u6709\u70b9\u3092\u3082\u3064\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u5186\u306e\u4e2d\u5fc3\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u306e\u95a2\u4fc2<\/strong><\/p>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5224\u5225\u5f0f\u3092\u5229\u7528\u3057\u306a\u304f\u3066\u3082\u5186\u3068\u76f4\u7dda\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3092\u628a\u63e1\u3067\u304d\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u5186\u306e\u534a\u5f84\\(r\\)\u3068\u5186\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\\(d\\)\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u5186\u306e\u534a\u5f84\\(r\\)\u3068\u5186\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\\(d\\)\u306b\u306f\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(d&lt;r\\)\uff1a\u5186\u3068\u76f4\u7dda\u304c2\u70b9\u3067\u4ea4\u308f\u308b<\/li>\n<li>\\(d=r\\)\uff1a\u5186\u3068\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308b\uff1a\u5186\u3068\u76f4\u7dda\u304c\u63a5\u3059\u308b<\/li>\n<li>\\(d&gt;r\\)\uff1a\u5186\u3068\u76f4\u7dda\u306f\u5171\u6709\u70b9\u3092\u3082\u305f\u306a\u3044<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/eqjh6.jpg\" alt=\"\" width=\"566\" height=\"169\" class=\"aligncenter size-full wp-image-11299\" \/><\/p>\n<p>\u5f53\u305f\u308a\u524d\u306e\u5185\u5bb9\u3067\u306f\u3042\u308a\u307e\u3059\u304c\u3001\u3053\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u5186\u3068\u76f4\u7dda\u3092\u5229\u7528\u3059\u308b\u305f\u3081\u3001\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u554f\u984c\u3092\u89e3\u304f\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u5186\u306e\u4e2d\u5fc3\u304b\u3089\u76f4\u7dda\u306e\u8ddd\u96e2\u3067\u3042\u3063\u305f\u308a\u3001\u5186\u4e0a\u306e\u70b9\u304b\u3089\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u3067\u3042\u3063\u305f\u308a\u3001\u3053\u308c\u3089\u306e\u8ddd\u96e2\u3092\u5229\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u306b\u3064\u3044\u3066\u306f\u65e2\u306b\u5b66\u3093\u3067\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u304c\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u8ddd\u96e2\\(d\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(d=\\displaystyle\\frac{|ax_1+by_1+c|}{\\sqrt{a^2+b^2}}\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/dghr16.jpg\" alt=\"\" width=\"600\" height=\"243\" class=\"aligncenter size-full wp-image-11279\" \/><\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u76f4\u7dda\\(y=x+2\\)\u306b\u3064\u3044\u3066\u3001\u5186\\(x^2+y^2=5\\)\u306e\u5185\u90e8\u306b\u5b58\u5728\u3059\u308b\u5f26\uff08\u76f4\u7dda\uff09\u306e\u9577\u3055\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(y=x+2\\)\u306f\\(x-y+2=0\\)\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u5186\u306e\u4e2d\u5fc3\u306f\\((0,0)\\)\u3067\u3059\u3002\u305d\u3053\u3067\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u5186\u306e\u4e2d\u5fc3\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\\(d\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(d=\\displaystyle\\frac{|0-0+2|}{\\sqrt{1^2+(-1)^2}}\\)<\/p>\n<p>\\(d=\\sqrt{2}\\)<\/p>\n<p>\u307e\u305f\u5186\u306e\u4e2d\u5fc3\u3092O\u3001\u5186\u3068\u76f4\u7dda\u306e\u5171\u6709\u70b9\u3092\u305d\u308c\u305e\u308cA\u3001B\u3068\u3059\u308b\u3068\u3001OA\u306e\u8ddd\u96e2\u306f\u5186\u306e\u534a\u5f84\u3068\u540c\u3058\u306a\u306e\u3067\\(\\sqrt{5}\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/iwh4.jpg\" alt=\"\" width=\"339\" height=\"294\" class=\"aligncenter size-full wp-image-11222\" \/><\/p>\n<p>\u307e\u305fAB\u306e\u4e2d\u70b9\u3092M\u3068\u3059\u308b\u3068\u3001\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306bAM\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(AM^2=(\\sqrt{5})^2-(\\sqrt{2})^2\\)<\/p>\n<p>\\(AM=\\sqrt{3}\\)<\/p>\n<p>\u6c42\u3081\u308b\u5f26\uff08\u76f4\u7dda\uff09AB\u306e\u9577\u3055\u306fAM\u306e\u9577\u3055\u306e2\u500d\u3067\u3042\u308b\u305f\u3081\u3001\u7b54\u3048\u306f\\(2\\sqrt{3}\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u516c\u5f0f<\/h2>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u76f4\u7dda\u306f\u5186\u306b\u63a5\u3057\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u306a\u3057\u306b\u5f97\u308b\u65b9\u6cd5\u306f\u306a\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u306f\u516c\u5f0f\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u8a08\u7b97\u306a\u3057\u306b\u5186\u306e\u63a5\u7dda\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u5186\\(x^2+y^2=r^2\\)\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u70b9\\((x_1,y_1)\\)\u306b\u3064\u3044\u3066\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x_1x+y_1y=r^2\\)<\/li>\n<\/ul>\n<p>\u4f8b\u3048\u3070\u5186\\(x^2+y^2=5\\)\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u70b9\\((1,2)\\)\u306b\u3064\u3044\u3066\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(x+2y=5\\)\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u4e2d\u5fc3\u304c\u539f\u70b9\u3067\u306f\u306a\u3044\u5186\u306f\u591a\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4e2d\u5fc3\u304c\u539f\u70b9\u3067\u306f\u306a\u3044\u5834\u5408\u306b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u516c\u5f0f\u3092\u899a\u3048\u307e\u3057\u3087\u3046\u3002\u5186\\((x-a)^2+(y-b)^2=r^2\\)\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u70b9\\((x_1,y_1)\\)\u306b\u3064\u3044\u3066\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x_1-a)(x-a)+(y_1-b)(y-b)=r^2\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u5186\\((x-2)^2+(y-3)^2=25\\)\u306b\u3064\u3044\u3066\u3001\u5186\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u70b9\\((5,7)\\)\u3092\u901a\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\((5-2)(x-2)+(7-3)(y-3)=25\\)<\/p>\n<p>\\(3x-6+4y-12=25\\)<\/p>\n<p>\\(3x+4y-43=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(3x+4y-43=0\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h3>\u5186\u5916\u306e\u70b9\u304b\u3089\u5186\u306b\u5f15\u3044\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f<\/h3>\n<p>\u305d\u308c\u3067\u306f\u5148\u307b\u3069\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u5186\u5916\u306e\u70b9\u304b\u3089\u5186\u306b\u5411\u3051\u3066\u5f15\u3044\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<span style=\"color: #0000ff;\">\u5186\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u70b9A\u306e\u63a5\u7dda\u3067\u306f\u306a\u304f\u3001\u5186\u5916\u306e\u70b9A\u304b\u3089\u5186\u306b\u5411\u3051\u3066\u5f15\u3044\u305f\u63a5\u7dda\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u70b9\\((7,1)\\)\u304b\u3089\u5186\\(x^2+y^2=25\\)\u306b\u5411\u3051\u3066\u63a5\u7dda\u3092\u5f15\u304f\u5834\u5408\u3001\u63a5\u70b9\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u63a5\u70b9\u3092\\((a,b)\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(ax+by=25\\)\u3068\u306a\u308a\u307e\u3059\u3002\u76f4\u7dda\\(ax+by=25\\)\u306f\u70b9\\((7,1)\\)\u3092\u901a\u308b\u305f\u3081\u3001\\(7a+b=25\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u63a5\u70b9\\((a,b)\\)\u306f\u5186\u4e0a\u306e\u70b9\u3067\u3042\u308b\u305f\u3081\u3001\\(a^2+b^2=25\\)\u3067\u3059\u3002\u305d\u3053\u3067\u30012\u3064\u306e\u5f0f\u3092\u9023\u7acb\u3055\u305b\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u307e\u3057\u3087\u3046\u3002\\(7a+b=25\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(b=-7a+25\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(b=-7a+25\\)\u3092\\(a^2+b^2=25\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a^2+b^2=25\\)<\/p>\n<p>\\(a^2+(-7a+25)^2=25\\)<\/p>\n<p>\\(50a^2-350a+600=0\\)<\/p>\n<p>\\(a^2-7a+12=0\\)<\/p>\n<p>\\((a-3)(a-4)=0\\)<\/p>\n<p>\\(a=3,4\\)<\/p>\n<p>\\(a=3\\)\u306e\u3068\u304d\u3001\\(b=4\\)\u3067\u3059\u3002\u307e\u305f\\(a=4\\)\u306e\u3068\u304d\u3001\\(b=-3\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7b54\u3048\u306f\\((3,4)\\)\u3068\\((4,-3)\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/eqjh7.jpg\" alt=\"\" width=\"343\" height=\"295\" class=\"aligncenter size-full wp-image-11300\" 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