{"id":12373,"date":"2023-01-24T03:15:26","date_gmt":"2023-01-23T18:15:26","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12373"},"modified":"2024-01-24T15:28:55","modified_gmt":"2024-01-24T06:28:55","slug":"parabola","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/parabola.html","title":{"rendered":"\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff1a\u7126\u70b9\u3084\u65b9\u7a0b\u5f0f\u3001\u8ecc\u8de1\u306e\u8a08\u7b97\u3001\u5e73\u884c\u79fb\u52d5"},"content":{"rendered":"\n<p>\u79c1\u305f\u3061\u304c\u5b66\u3076\u4e8c\u6b21\u66f2\u7dda\u3067\u6700\u3082\u6709\u540d\u306a\u5f0f\u306f\\(y=ax^2\\)\u3067\u3059\u3002\\(y=ax^2\\)\u306f\u4e8c\u6b21\u95a2\u6570\u3068\u3044\u308f\u308c\u307e\u3059\u304c\u3001\u4e8c\u6b21\u66f2\u7dda\u3067\u3082\u3042\u308a\u307e\u3059\u3002\u5186\u3082\u4e8c\u6b21\u66f2\u7dda\u306e\u4e00\u7a2e\u3067\u3059\u3002<\/p>\n<p>\u3053\u3046\u3057\u305f\u4e8c\u6b21\u66f2\u7dda\u306b\u306f\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u4e8c\u6b21\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u56f3\u3092\u63cf\u304f\u3068\u66f2\u7dda\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u305f\u66f2\u7dda\u304c\u4e8c\u6b21\u66f2\u7dda\u3067\u3059\u3002<\/p>\n<p>\u4e8c\u6b21\u66f2\u7dda\u3092\u5b66\u3076\u3068\u304d\u3001\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3070\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u307e\u305f\u3001\u3053\u3046\u3057\u305f\u4e8c\u6b21\u66f2\u7dda\u3067\u306f\u7126\u70b9\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u65b9\u7a0b\u5f0f\u306b\u7126\u70b9\u304c\u542b\u307e\u308c\u308b\u306e\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u3066\u8ecc\u8de1\u306e\u8a08\u7b97\u3084\u5e73\u884c\u79fb\u52d5\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u4e8c\u6b21\u66f2\u7dda\u306e\u8a08\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u7126\u70b9\u306e\u6982\u5ff5<\/h2>\n<p>\u307e\u305a\u3001\u653e\u7269\u7dda\u306f\u3069\u306e\u3088\u3046\u306a\u66f2\u7dda\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u79c1\u305f\u3061\u304c\u898b\u6163\u308c\u3066\u3044\u308b\u4e8c\u6b21\u95a2\u6570\u306b\u5bfe\u3057\u3066\u3001\u6a2a\u5012\u3057\u306b\u3057\u305f\u66f2\u7dda\u304c\u653e\u7269\u7dda\u3067\u3059\u3002\u307e\u305f\\(y=ax^2\\)\u306b\u3088\u3063\u3066\u4e8c\u6b21\u95a2\u6570\u3092\u8868\u305b\u308b\u306e\u306b\u5bfe\u3057\u3066\u3001\u653e\u7269\u7dda\u3067\u306f\u4ee5\u4e0b\u306e\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y^2=4px\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/odjw5.jpg\" alt=\"\" width=\"562\" height=\"278\" class=\"aligncenter size-full wp-image-12384\" \/><\/p>\n<p>\u306a\u305c\\(y^2=ax\\)\u3067\u306f\u306a\u304f\u3001\\(y^2=4px\\)\u3068\u3044\u3046\u5f0f\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #ff0000;\">\u653e\u7269\u7dda\u306e\u5f0f\u306b\u5b58\u5728\u3059\u308b\\(p\\)\u306f\u7126\u70b9\u3067\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\u653e\u7269\u7dda\u3067\u5229\u7528\u3055\u308c\u308b\u7126\u70b9\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305a\u3001\u7126\u70b9\u3068\u3057\u3066\u70b9F\\((p,0)\\)\u3092\u7f6e\u304d\u307e\u3057\u3087\u3046\u3002\\(p\\)\u306e\u5024\u306f\u4f55\u3067\u3082\u3088\u304f\u3001\u3072\u3068\u307e\u305a\u7126\u70b9\u3092\u7f6e\u304d\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\\(y\\)\u8ef8\u306b\u5bfe\u79f0\u306a\u7126\u70b9\u306b\u5bfe\u3057\u3066\u305f\u3066\u8ef8\\((x=-p)\\)\u3092\u5f15\u304d\u307e\u3059\u3002\\((-p,0)\\)\u3092\u901a\u308b\u305f\u3066\u8ef8\u306e\u7dda\u3092<span style=\"color: #ff0000;\">\u6e96\u7dda<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/odjw8.jpg\" alt=\"\" width=\"313\" height=\"232\" class=\"aligncenter size-full wp-image-12387\" \/><\/p>\n<p>\u3053\u306e\u3068\u304d\u3001\u7126\u70b9\\((p,0)\\)\u3068\u6e96\u7dda\u304b\u3089\u306e\u8ddd\u96e2\u304c\u7b49\u3057\u3044\u70b9A\\((x,y)\\)\u306e\u8ecc\u8de1\u3092\u63cf\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b\u3001\\(AF=AH\\)\u3068\u306a\u308b\u3088\u3046\u306b\u70b9A\u3092\u63cf\u304f\u3068\u653e\u7269\u7dda\u306b\u306a\u308b\u306e\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/odjw10.jpg\" alt=\"\" width=\"312\" height=\"231\" class=\"aligncenter size-full wp-image-12389\" \/><\/p>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">\u653e\u7269\u7dda\u3068\u3044\u3046\u306e\u306f\u3001\u7126\u70b9\u3068\u6e96\u7dda\u304b\u3089\u306e\u8ddd\u96e2\u304c\u7b49\u3057\u3044\u70b9\u306e\u8ecc\u8de1\u3092\u6307\u3057\u307e\u3059\u3002<\/span>\u306a\u304a\u3001AH\u306e\u9577\u3055\u306f\u7d76\u5bfe\u5024\u3092\u5229\u7528\u3057\u3066\\(AH=|x-(-p)|\\)\\(=|x+p|\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3001AF\u306f\u70b9\u3068\u70b9\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(AF=\\sqrt{(x-p)^2+(y-0)^2}\\)<\/p>\n<p>\\(AF=\\sqrt{(x-p)^2+y^2}\\)<\/p>\n<p>\\(AH=AF\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(|x+p|=\\sqrt{(x-p)^2+y^2}\\)<\/p>\n<p>\\(|x+p|^2=(\\sqrt{(x-p)^2+y^2})^2\\)<\/p>\n<p>\\((x+p)^2=(x-p)^2+y^2\\)<\/p>\n<p>\\(y^2=4px\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3057\u305f\u3002\u516c\u5f0f\u3092\u899a\u3048\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u7126\u70b9\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u653e\u7269\u7dda\u304c\u4f55\u3092\u8868\u3057\u3066\u3044\u308b\u66f2\u7dda\u306a\u306e\u304b\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u653e\u7269\u7dda\u306b\u3064\u3044\u3066\u3001\u7126\u70b9F\u304c\\((0,p)\\)\u3068\\(y\\)\u8ef8\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\\(y=ax^2\\)\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002\u4e8c\u6b21\u95a2\u6570\u3068\u3044\u3046\u306e\u306f\u3001\u653e\u7269\u7dda\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002\u3064\u307e\u308a\u79c1\u305f\u3061\u306f\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3092\u30e1\u30a4\u30f3\u3067\u5b66\u3093\u3067\u3044\u305f\u306e\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\\(y^2=6x\\)\u3092\u30b0\u30e9\u30d5\u3067\u63cf\u304f\u3068\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\\(y^2=4px\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(4p=6\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\\(p=\\displaystyle\\frac{3}{2}\\)\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\\(\\left(\\displaystyle\\frac{3}{2},0\\right)\\)\u304c\u7126\u70b9\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\\(y^2=6x\\)\u306b\\(x=\\displaystyle\\frac{3}{2}\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(y=\u00b13\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30b0\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/odjw11.jpg\" alt=\"\" width=\"338\" height=\"301\" class=\"aligncenter size-full wp-image-12390\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u653e\u7269\u7dda\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u5186\u306e\u4e2d\u5fc3\u306e\u8ecc\u8de1\u3068\u653e\u7269\u7dda<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5186\u306e\u4e2d\u5fc3\u306e\u8ecc\u8de1\u3092\u5229\u7528\u3057\u3066\u653e\u7269\u7dda\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002\u8ecc\u8de1\u4e0a\u306e\u52d5\u70b9\\((x,y)\\)\u3092\u5229\u7528\u3057\u3066\u95a2\u4fc2\u5f0f\u3092\u4f5c\u308a\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u306e\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u5186\\((x-3)^2+y^2=4\\)\u306b\u5916\u63a5\u3057\u3001\\(x=-1\\)\u306b\u63a5\u3059\u308b\u5186\u306e\u4e2d\u5fc3A\u306e\u8ecc\u8de1\u3092\u65b9\u7a0b\u5f0f\u3067\u8868\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>2\u3064\u306e\u5186\u304c\u63a5\u3059\u308b\u3068\u304d\u3001\u5916\u63a5\u3068\u5185\u63a5\u306e\u4e8c\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002\u4eca\u56de\u306f2\u3064\u306e\u5186\u304c\u5916\u63a5\u3059\u308b\u5834\u5408\u306e\u8ecc\u8de1\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u56f3\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/odjw13.jpg\" alt=\"\" width=\"322\" height=\"298\" class=\"aligncenter size-full wp-image-12393\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u5f0f\u3092\u4f5c\u308a\u307e\u3059\u3002\u56f3\u3092\u78ba\u8a8d\u3059\u308b\u3068\u30012\u3064\u306e\u5186\u306e\u534a\u5f84\u3092\u8db3\u305b\u3070AF\u306b\u306a\u308b\u305f\u3081\u3001\\(AF=AH+2\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002AH\u306e\u9577\u3055\u306f\\(AH=x-(-1)\\)\\(=x+1\\)\u3067\u3059\u3002\u307e\u305f\u3001AF\u306e\u9577\u3055\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(AF=\\sqrt{(x-3)^2+(y-0)^2}\\)<\/p>\n<p>\\(AF=\\sqrt{(x-3)^2+y^2}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(AF=AH+2\\)<\/p>\n<p>\\(\\sqrt{(x-3)^2+y^2}=x+1+2\\)<\/p>\n<p>\\(\\sqrt{(x-3)^2+y^2}=x+3\\)<\/p>\n<p>\\((x-3)^2+y^2=(x+3)^2\\)<\/p>\n<p>\\(y^2=12x\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5186\u306e\u4e2d\u5fc3\u306e\u8ecc\u8de1\uff08\u653e\u7269\u7dda\uff09\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\uff1a\u5186\u3068\u306e\u95a2\u4fc2<\/h2>\n<p>\u4e8c\u6b21\u66f2\u7dda\u3067\u306f\u6955\u5186\u3082\u91cd\u8981\u3067\u3059\u3002\u5186\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3044\u305f\u7d4c\u9a13\u306f\u4f55\u5ea6\u3082\u3042\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u5186\u306f\u6955\u5186\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002\u5186\u3067\u306f\u7126\u70b9\u3092\u5229\u7528\u3057\u307e\u305b\u3093\u304c\u30012\u3064\u306e\u7126\u70b9\u304c\u91cd\u306a\u3063\u305f\u72b6\u614b\u304c\u5186\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u30022\u3064\u306e\u7126\u70b9\u304c\u91cd\u306a\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5186\u306e\u4e2d\u5fc3\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u6955\u5186\u306f\u3069\u306e\u3088\u3046\u306a\u56f3\u5f62\u3068\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #0000ff;\">\u6955\u5186\u3068\u3044\u3046\u306e\u306f\u30012\u3064\u306e\u70b9\uff08\u7126\u70b9\uff09\u304b\u3089\u306e\u8ddd\u96e2\u306e\u548c\u304c\u7b49\u3057\u3044\u56f3\u5f62\u3092\u6307\u3057\u307e\u3059\u3002<\/span>\u305d\u308c\u3067\u306f\u3001\u7126\u70b9\u304cF\\((c,0)\\)\u3001F&#8217;\\((-c,0)\\)\u3067\u3042\u308b\u4ee5\u4e0b\u306e\u6955\u5186\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/ffj4.jpg\" alt=\"\" width=\"417\" height=\"297\" class=\"aligncenter size-full wp-image-12486\" \/><\/p>\n<p>\u307e\u305f\u4e0a\u56f3\u306e\u3088\u3046\u306b\u3001\u9577\u8ef8\uff08\u6700\u3082\u9577\u304f\u306a\u308b\u90e8\u5206\uff09\u306e\u9577\u3055\u3092\\(2a\\)\u3001\u77ed\u8ef8\uff08\u6700\u3082\u77ed\u304f\u306a\u308b\u90e8\u5206\uff09\u306e\u9577\u3055\u3092\\(2b\\)\u3068\u3057\u307e\u3059\u3002\u6955\u5186\u306e\u5b9a\u7fa9\u3088\u308a\u3001\u6955\u5186\u4e0a\u306e\u70b9\u3092\\(P(x,y)\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(FP+F&#8217;P=\\)\u4e00\u5b9a<\/li>\n<\/ul>\n<p>\u306a\u304a\u3001\u3053\u306e\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(FP+F&#8217;P=2a\\)<\/li>\n<\/ul>\n<p>\u306a\u305c\u300c\u4e00\u5b9a\u300d\u306e\u90e8\u5206\u304c\\(2a\\)\u304b\u3068\u3044\u3046\u3068\u3001\u4e0b\u56f3\u306e\u3088\u3046\u306b\u3001\u6700\u3082\u9577\u3044\u8ef8\u306e\u8ddd\u96e2\\(2a\\)\u304c\\(FP+F&#8217;P\\)\u306b\u8a72\u5f53\u3059\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/ffj5.jpg\" alt=\"\" width=\"417\" height=\"297\" class=\"aligncenter size-full wp-image-12487\" \/><\/p>\n<p>\u306a\u304a\u30012\u70b9\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u3068\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\sqrt{(x-c)^2+y^2}\\)\\(+\\sqrt{(x+c)^2+y^2}\\)\\(=2a\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u5f0f\u3092\u5909\u5f62\u3057\u3001\u4e8c\u4e57\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\sqrt{(x-c)^2+y^2}\\)\\(+\\sqrt{(x+c)^2+y^2}\\)\\(=2a\\)<\/p>\n<p>\\(\\sqrt{(x-c)^2+y^2}\\)\\(=2a-\\sqrt{(x+c)^2+y^2}\\)<\/p>\n<p>\\((x-c)^2+y^2\\)\\(=4a^2\\)\\(-4a\\sqrt{(x+c)^2+y^2}\\)\\(+(x+c)^2+y^2\\)<\/p>\n<p>\\(4a\\sqrt{(x+c)^2+y^2}=4a^2+4cx\\)<\/p>\n<p>\\(a\\sqrt{(x+c)^2+y^2}=a^2+cx\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\u518d\u3073\u4e21\u8fba\u3092\u4e8c\u4e57\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a\\sqrt{(x+c)^2+y^2}=a^2+cx\\)<\/p>\n<p>\\(a^2(x+c)^2+a^2y^2\\)\\(=a^4+2a^2cx+c^2x^2\\)<\/p>\n<p>\\(a^2x^2-c^2x^2+a^2y^2\\)\\(=a^4-a^2c^2\\)<\/p>\n<p>\\((a^2-c^2)x^2+a^2y^2\\)\\(=a^2(a^2-c^2)\\)<\/p>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001\\(a^2-c^2=b^2\\)\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002\\(FP+F&#8217;P=2a\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u56f3\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/ffj6.jpg\" alt=\"\" width=\"417\" height=\"297\" class=\"aligncenter size-full wp-image-12488\" \/><\/p>\n<p>\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3088\u308a\\(b=\\sqrt{a^2-c^2}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(a^2-c^2=b^2\\)\u3068\u306a\u308b\u306e\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((a^2-c^2)x^2+a^2y^2\\)\\(=a^2(a^2-c^2)\\)<\/p>\n<p>\\(b^2x^2+a^2y^2\\)\\(=a^2b^2\\)<\/p>\n<p>\\(\\displaystyle\\frac{x^2}{a^2}+\\displaystyle\\frac{y^2}{b^2}=1\\)<\/p>\n<p>\u203b\\(a&gt;b&gt;0\\)\u306e\u5834\u5408<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a\u3001\u5148\u307b\u3069\\(b=\\sqrt{a^2-c^2}\\)\u3068\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002\u540c\u3058\u3088\u3046\u306b\u3001\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3068\\(c=\\sqrt{a^2-b^2}\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u7126\u70b9\u306e\u5ea7\u6a19\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u7126\u70b9\u304c\\(y\\)\u8ef8\u4e0a\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u306e\u5f0f<\/h3>\n<p>\u3053\u3053\u307e\u3067\u306e\u89e3\u8aac\u3067\u306f\u3001\u9577\u8ef8\u3092\\(2a\\)\u3068\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u6955\u5186\u306b\u3088\u3063\u3066\u306f\u3001\u9577\u8ef8\u304c\\(2b\\)\u306b\u306a\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\\(b&gt;a&gt;0\\)\u306e\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u7126\u70b9\u306f\\(x\\)\u8ef8\u4e0a\u3067\u306f\u306a\u304f\\(y\\)\u8ef8\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3001\u7126\u70b9\u306e\u5ea7\u6a19\u306fF\\((0,c)\\)\u3001F&#8217;\\((0,-c)\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u7126\u70b9\u306e\u5ea7\u6a19\u306f\\(c=\\sqrt{b^2-a^2}\\)\u3067\u3059\u3002\u5927\u304d\u3044\u5024\u304b\u3089\u5c0f\u3055\u3044\u5024\u3092\u5f15\u304b\u306a\u3044\u3068\u5b9f\u6570\u3092\u5f97\u3089\u308c\u306a\u3044\u305f\u3081\u3001\u3053\u3046\u3057\u305f\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u4ee5\u4e0b\u306e\u56f3\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/ffj7.jpg\" alt=\"\" width=\"354\" height=\"345\" class=\"aligncenter size-full wp-image-12489\" \/><\/p>\n<p>\u306a\u304a\u9577\u8ef8\u306f\\(2b\\)\u3067\u3042\u308b\u305f\u3081\u3001\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(FP+F&#8217;P=2b\\)<\/li>\n<\/ul>\n<p>\u9577\u8ef8\u3068\u77ed\u8ef8\u306e\u4f4d\u7f6e\u95a2\u4fc2\u3092\u628a\u63e1\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u6955\u5186\u306e\u5f62\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u5186\u3068\u6955\u5186\u306e\u95a2\u4fc2\uff1a\u8ecc\u8de1\u3092\u5229\u7528\u3057\u3066\u6955\u5186\u3092\u63cf\u304f<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5186\u3068\u6955\u5186\u306b\u306f\u3069\u306e\u3088\u3046\u306a\u95a2\u4fc2\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\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=36\\)\u306b\u3064\u3044\u3066\u3001\\(x\\)\u8ef8\u3092\u57fa\u6e96\u306b\\(y\\)\u8ef8\u65b9\u5411\u3078\\(\\displaystyle\\frac{2}{3}\\)\u306b\u7e2e\u5c0f\u3055\u305b\u308b\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306a\u56f3\u5f62\u306b\u306a\u308a\u307e\u3059\u304b\u3002<\/li>\n<\/ul>\n<p>\u5186\u4e0a\u306e\u70b9\u3092Q\\((s,t)\\)\u3001\u7e2e\u5c0f\u5f8c\u306e\u70b9\u3092P\\((x,y)\\)\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\\(x\\)\u8ef8\u306e\u5ea7\u6a19\u306f\u540c\u3058\u306a\u306e\u3067\\(x=s\\)\u3067\u3059\u3002\u4e00\u65b9\u3001\\(y\\)\u8ef8\u3067\u306f\\(\\displaystyle\\frac{2}{3}\\)\u306b\u7e2e\u5c0f\u3059\u308b\u305f\u3081\u3001\\(y=\\displaystyle\\frac{2}{3}t\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh5-1.jpg\" alt=\"\" width=\"419\" height=\"412\" class=\"aligncenter size-full wp-image-12412\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\\(s^2+t^2=36\\)\u306b\u5bfe\u3057\u3066\\(s=x\\)\u3068\\(t=\\displaystyle\\frac{3y}{2}\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(s^2+t^2=36\\)<\/p>\n<p>\\(x^2+\\displaystyle\\frac{9y^2}{4}=36\\)<\/p>\n<p>\\(\\displaystyle\\frac{x^2}{36}+\\displaystyle\\frac{y^2}{16}=1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5186\u3092\u6955\u5186\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a\\(y\\)\u8ef8\u65b9\u5411\u3078\\(\\displaystyle\\frac{2}{3}\\)\u306b\u7e2e\u5c0f\u3055\u305b\u305f\u305f\u3081\u3001\\(y\\)\u8ef8\u3068\u306e\u4ea4\u70b9\u306f\\(\u00b16\\)\u304b\u3089\\(\u00b14\\)\u3078\u3068\u5909\u5316\u3057\u307e\u3059\u3002\u6955\u5186\u3068\u3044\u3046\u306e\u306f\u3001\u5186\u3092\\(x\\)\u8ef8\u307e\u305f\u306f\\(y\\)\u8ef8\u65b9\u5411\u3078\u62e1\u5927\u30fb\u7e2e\u5c0f\u3055\u305b\u305f\u56f3\u3068\u8003\u3048\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p><strong>\u30fb\u8ecc\u8de1\u3092\u7528\u3044\u3066\u6955\u5186\u3092\u63cf\u304f<\/strong><\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u8ecc\u8de1\u3092\u5229\u7528\u3057\u3066\u6955\u5186\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u9577\u3055\u304c7\u306e\u7dda\u5206AB\u306b\u3064\u3044\u3066\u3001\u70b9A\u306f\\(x\\)\u8ef8\u4e0a\u3092\u52d5\u304d\u3001\u70b9B\u306f\\(y\\)\u8ef8\u4e0a\u3092\u52d5\u304d\u307e\u3059\u3002\u7dda\u5206AB\u4e0a\u306b\\(AP=3\\)\u3068\u306a\u308b\u70b9P\u3092\u3068\u308b\u3068\u304d\u3001\u70b9P\u306e\u8ecc\u8de1\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56f3\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh7.jpg\" alt=\"\" width=\"303\" height=\"234\" class=\"aligncenter size-full wp-image-12414\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u56f3\u3092\u63cf\u304f\u3068\u3001\u70b9P\u306f\u7dda\u5206AB\u3092\\(3:4\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u70b9A\u306e\u5ea7\u6a19\u3092\\((a,0)\\)\u3001\u70b9B\u306e\u5ea7\u6a19\u3092\\((0,b)\\)\u3068\u3057\u307e\u3059\u3002\u7dda\u5206AB\u306e\u9577\u3055\u306f7\u3067\u3042\u308b\u305f\u3081\u3001\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a^2+b^2=49\\)<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\u70b9P\u306e\u5ea7\u6a19\u3092\\((x,y)\\)\u3068\u3057\u307e\u3059\u3002\u524d\u8ff0\u306e\u901a\u308a\u3001\u70b9P\u306f\u7dda\u5206AB\u3092\\(3:4\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u5185\u5206\u70b9\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x=\\displaystyle\\frac{4a}{3+4}=\\displaystyle\\frac{4}{7}a\\)<\/li>\n<li>\\(y=\\displaystyle\\frac{3b}{3+4}=\\displaystyle\\frac{3}{7}b\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\\(a^2+b^2=49\\)\u306b\u5bfe\u3057\u3066\\(a=\\displaystyle\\frac{7}{4}x\\)\u3001\\(b=\\displaystyle\\frac{7}{3}y\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a^2+b^2=49\\)<\/p>\n<p>\\(\\displaystyle\\frac{49x^2}{16}+\\displaystyle\\frac{49y^2}{9}=49\\)<\/p>\n<p>\\(\\displaystyle\\frac{x^2}{16}+\\displaystyle\\frac{y^2}{9}=1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u70b9P\u304c\u63cf\u304f\u8ecc\u8de1\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u6982\u8981\u3068\u6c7a\u5b9a<\/h2>\n<p>\u5148\u307b\u3069\u3001\u7126\u70b9F\\((c,0)\\)\u3068F&#8217;\\((-c,0)\\)\u304b\u3089\u306e\u8ddd\u96e2\u306e\u548c\u304c\u4e00\u5b9a\u3067\u3042\u308b\u5834\u5408\u3001\u6955\u5186\u3068\u306a\u308b\u3068\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u7126\u70b9F\\((c,0)\\)\u3068F&#8217;\\((-c,0)\\)\u304b\u3089\u306e\u8ddd\u96e2\u306e<span style=\"color: #ff0000;\">\u5dee<\/span>\u304c\u4e00\u5b9a\u3067\u3042\u308b\u5834\u5408\u3001\u53cc\u66f2\u7dda\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u6955\u5186\u306e\u3068\u304d\u3068\u540c\u3058\u3088\u3046\u306b\u30012\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u306e\u5dee\u304c\u4e00\u5b9a\u306b\u306a\u308b\u3088\u3046\u306b\u70b9P\\((x,y)\\)\u3092\u53d6\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u3068\u304d\u3001\u4e00\u5b9a\u306e\u90e8\u5206\u3092\\(2a\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(|F&#8217;P-FP|=2a\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/ffj8.jpg\" alt=\"\" width=\"396\" height=\"252\" class=\"aligncenter size-full wp-image-12490\" \/><\/p>\n<p>\u203b\\(0&lt;a&lt;c\\)<\/p>\n<p>\u4e00\u5b9a\u304c\\(2a\\)\u3068\u306a\u308b\u3053\u3068\u306b\u610f\u5473\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6955\u5186\u306e\u3068\u304d\u3068\u540c\u3058\u3067\u3042\u308c\u3070\u308f\u304b\u308a\u3084\u3059\u3044\u305f\u3081\u3001\u3072\u3068\u307e\u305a\u4e00\u5b9a\u306f\\(2a\\)\u306b\u306a\u308b\u3068\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u307e\u305fFP\u3068F&#8217;P\u306b\u3064\u3044\u3066\u3001\u5dee\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u3063\u3066\u3082\u3044\u3044\u3088\u3046\u306b\u3059\u308b\u305f\u3081\u306b\u7d76\u5bfe\u5024\u3092\u52a0\u3048\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u6955\u5186\u306e\u3068\u304d\u3068\u540c\u69d8\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(|F&#8217;P-FP|=2a\\)<\/p>\n<p>\\(|\\sqrt{(x-c)^2+y^2}\\)\\(-\\sqrt{(x+c)^2+y^2}|\\)\\(=2a\\)<\/p>\n<p>\\(\\sqrt{(x-c)^2+y^2}\\)\\(-\\sqrt{(x+c)^2+y^2}\\)\\(=\u00b12a\\)<\/p>\n<p>\\(\\sqrt{(x-c)^2+y^2}\\)\\(=\u00b12a+\\sqrt{(x+c)^2+y^2}\\)<\/p>\n<p>\\((x-c)^2+y^2\\)\\(=4a^2\\)\\(\u00b14a\\sqrt{(x+c)^2+y^2}\\)\\(+(x+c)^2+y^2\\)<\/p>\n<p>\\(\u00b14a\\sqrt{(x+c)^2+y^2}=4a^2+4cx\\)<\/p>\n<p>\\(\u00b1a\\sqrt{(x+c)^2+y^2}=a^2+cx\\)<\/p>\n<p>\u6b21\u306b\u3001\u4e21\u8fba\u3092\u4e8c\u4e57\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\u00b1a\\sqrt{(x+c)^2+y^2}=a^2+cx\\)<\/p>\n<p>\\(a^2(x+c)^2+a^2y^2\\)\\(=a^4+2a^2cx+c^2x^2\\)<\/p>\n<p>\\(a^2x^2-c^2x^2+a^2y^2\\)\\(=a^4-a^2c^2\\)<\/p>\n<p>\\((a^2-c^2)x^2+a^2y^2\\)\\(=a^2(a^2-c^2)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u6955\u5186\u3067\u8a08\u7b97\u3057\u305f\u3068\u304d\u3068\u307e\u3063\u305f\u304f\u540c\u3058\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u91cd\u8981\u306a\u306e\u306f\u3001\\(0&lt;a&lt;c\\)\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4e21\u8fba\u306b\u30de\u30a4\u30ca\u30b9\u3092\u304b\u3051\u308b\u3053\u3068\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\((c^2-a^2)x^2-a^2y^2\\)\\(=a^2(c^2-a^2)\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3068\u304d\u3001\\(b=\\sqrt{c^2-a^2}\\)\u3068\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\((c^2-a^2)x^2-a^2y^2\\)\\(=a^2(c^2-a^2)\\)<\/p>\n<p>\\(b^2x^2-a^2y^2\\)\\(=a^2b^2\\)<\/p>\n<p>\\(\\displaystyle\\frac{x^2}{a^2}-\\displaystyle\\frac{y^2}{b^2}=1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<span style=\"color: #0000ff;\">\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001\u9055\u3044\u306f\\(y\\)\u306b\u30de\u30a4\u30ca\u30b9\u304c\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u3067\u3059\u3002<\/span>\u3053\u306e\u9055\u3044\u306b\u3088\u308a\u3001\u65b9\u7a0b\u5f0f\u304c\u6955\u5186\u3092\u793a\u3059\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u53cc\u66f2\u7dda\u3092\u793a\u3059\u306e\u304b\u5909\u5316\u3057\u307e\u3059\u3002<\/p>\n<h3>\u6f38\u8fd1\u7dda\u3068\u53cc\u66f2\u7dda\u306e\u95a2\u4fc2<\/h3>\n<p>\u305f\u3060\u3001\u5148\u307b\u3069\u306e\u5f0f\u3067\u7591\u554f\u304c\u601d\u3044\u6d6e\u304b\u3073\u307e\u3059\u3002\u30b0\u30e9\u30d5\u3092\u78ba\u8a8d\u3057\u3066\u3082\u3001\u3069\u3053\u304c\\(b\\)\u306b\u8a72\u5f53\u3059\u308b\u306e\u304b\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u53cc\u66f2\u7dda\u3067\\(b\\)\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u53cc\u66f2\u7dda\u3067\u306f<span style=\"color: #ff0000;\">\u6f38\u8fd1\u7dda<\/span>\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u3001\u6f38\u8fd1\u7dda\u3067\\(b\\)\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\\(b=\\sqrt{c^2-a^2}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(c=\\sqrt{a^2+b^2}\\)\u306b\u3088\u3063\u3066\u7126\u70b9\u306e\u5ea7\u6a19\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u305f\u3060\u3001\u7126\u70b9\u304c\u308f\u304b\u3063\u3066\u3082\u30b0\u30e9\u30d5\u3092\u6b63\u3057\u304f\u63cf\u304f\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3001\u3069\u308c\u3060\u3051\u7dda\u306e\u5e83\u304c\u308a\u304c\u3042\u308b\u306e\u304b\u308f\u304b\u3089\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh10.jpg\" alt=\"\" width=\"383\" height=\"258\" class=\"aligncenter size-full wp-image-12418\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u6f38\u8fd1\u7dda\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u66f2\u7dda\u3068\u306e\u8ddd\u96e2\u304c\u8fd1\u3065\u304f\u3082\u306e\u306e\u3001\u63a5\u3059\u308b\u3053\u3068\u306e\u306a\u3044\u7dda\u3092\u6f38\u8fd1\u7dda\u3068\u3044\u3044\u307e\u3059\u3002\u6700\u3082\u6709\u540d\u306a\u53cc\u66f2\u7dda\u306b\u53cd\u6bd4\u4f8b\u304c\u3042\u308a\u307e\u3059\u3002\u53cd\u6bd4\u4f8b\u306e\u5834\u5408\u3001\\(x\\)\u8ef8\u3068\\(y\\)\u8ef8\u304c\u53cc\u66f2\u7dda\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh11.jpg\" alt=\"\" width=\"282\" height=\"257\" class=\"aligncenter size-full wp-image-12419\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u53cc\u66f2\u7dda\u3092\u63cf\u304f\u305f\u3081\u306b\u6f38\u8fd1\u7dda\u3092\u56f3\u306b\u8a18\u8f09\u3057\u307e\u3057\u3087\u3046\u3002\u8a3c\u660e\u3059\u308b\u3068\u8907\u96d1\u306b\u306a\u308b\u306e\u3067\u7701\u304d\u307e\u3059\u304c\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\\(\\displaystyle\\frac{x^2}{a^2}-\\displaystyle\\frac{y^2}{b^2}=1\\)\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e2\u3064\u306e\u5f0f\u304c\u6f38\u8fd1\u7dda\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{x}{a}-\\displaystyle\\frac{y}{b}=0\\)<\/li>\n<li>\\(\\displaystyle\\frac{x}{a}+\\displaystyle\\frac{y}{b}=0\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u6f38\u8fd1\u7dda\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u53cc\u66f2\u7dda\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/fjh5.jpg\" alt=\"\" width=\"410\" height=\"277\" class=\"aligncenter size-full wp-image-12531\" \/><\/p>\n<p>\u4e8c\u6b21\u66f2\u7dda\u306e\u4e2d\u3067\u306f\u3001\u53cc\u66f2\u7dda\u304c\u6700\u3082\u7406\u89e3\u3059\u308b\u306e\u304c\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u53cc\u66f2\u7dda\u3067\u306e\\(b\\)\u3084\u6f38\u8fd1\u7dda\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u7126\u70b9\u304c\\(x\\)\u8ef8\u3067\u306f\u306a\u304f\\(y\\)\u8ef8\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u65b9\u7a0b\u5f0f\uff1a\\(\\displaystyle\\frac{x^2}{a^2}-\\displaystyle\\frac{y^2}{b^2}=\\color{red}{-1}\\)<\/li>\n<li>\u7126\u70b9\uff1aF\\((0,c)\\)\u3068F&#8217;\\((0,-c)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/fjh6.jpg\" alt=\"\" width=\"475\" height=\"259\" class=\"aligncenter size-full wp-image-12532\" \/><\/p>\n<p>\u7126\u70b9\u306e\u5024\u306f\\(c=\\sqrt{a^2+b^2}\\)\u3067\u3042\u308a\u3001\u6f38\u8fd1\u7dda\u306f\\(\\displaystyle\\frac{x}{a}\u00b1\\displaystyle\\frac{y}{b}=0\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7126\u70b9\u306e\u5024\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u6f38\u8fd1\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u540c\u3058\u3067\u3059\u3002\u7126\u70b9\u304c\\(y\\)\u8ef8\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u3001\u53cc\u66f2\u7dda\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u4e8c\u6b21\u66f2\u7dda\u306e\u5e73\u884c\u79fb\u52d5\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u3067\u306f\u3001\u5e73\u884c\u79fb\u52d5\u3059\u308b\u3068\u304d\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3073\u307e\u3057\u305f\u3002\u305d\u3053\u3067\u4e8c\u6b21\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u306b\u3064\u3044\u3066\u3082\u3001\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u65b9\u6cd5\u306f\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u306e\u5834\u5408\u3068\u540c\u3058\u3067\u3059\u3002\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(a\\)\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b\\(b\\)\u79fb\u52d5\u3055\u305b\u308b\u5834\u5408\u3001\\(x\\)\u3092\\((x-a)\\)\u306b\u5909\u3048\u3001\\(y\\)\u3092\\((y-b)\\)\u306b\u5909\u3048\u307e\u3059\u3002\u4f8b\u3048\u3070\\(x^2+y^2~=4\\)\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b1\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b2\u79fb\u52d5\u3055\u305b\u308b\u5834\u5408\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-1)^2+(y-2)^2=4\\)<\/li>\n<\/ul>\n<p>\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306b\u3064\u3044\u3066\u3082\u3001\u540c\u3058\u3088\u3046\u306b\u8003\u3048\u3066\u5e73\u884c\u79fb\u52d5\u3055\u305b\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\\(\\displaystyle\\frac{x^2}{16}+\\displaystyle\\frac{y^2}{9}=1\\)\u306b\u3064\u3044\u3066\u3001\\(x\\)\u8ef8\u65b9\u5411\u306b-4\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b1\u79fb\u52d5\u3055\u305b\u308b\u5834\u5408\u3001\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{(x+4)^2}{16}+\\displaystyle\\frac{(y-1)^2}{9}=1\\)<\/li>\n<\/ul>\n<p>\u4e8c\u6b21\u66f2\u7dda\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u305f\u3044\u5834\u5408\u3001\u3053\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b<\/h2>\n<p>\u79c1\u305f\u3061\u306f\u6570\u5b66\u3067\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u3092\u5b66\u3073\u307e\u3059\u3002\u305f\u3060\u3001\u3053\u308c\u3089\u306e\u56f3\u5f62\u306f\u4e8c\u6b21\u66f2\u7dda\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002\u305d\u3053\u3067\u4e8c\u6b21\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u7126\u70b9\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u653e\u7269\u7dda\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u653e\u7269\u7dda\u3092\u6a2a\u5012\u3057\u306b\u3059\u308b\u3068\u4e8c\u6b21\u95a2\u6570\u3068\u306a\u308b\u305f\u3081\u3001\u653e\u7269\u7dda\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u306f\u4e8c\u6b21\u95a2\u6570\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a2\u3064\u306e\u7126\u70b9\u306e\u548c\u304c\u7b49\u3057\u304f\u306a\u308b\u5834\u5408\u3001\u6955\u5186\u3068\u306a\u308a\u307e\u3059\u3002\u9577\u8ef8\u3068\u77ed\u8ef8\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u6955\u5186\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u307e\u305f2\u3064\u306e\u7126\u70b9\u306e\u5dee\u304c\u7b49\u3057\u3044\u5834\u5408\u3001\u53cc\u66f2\u7dda\u3092\u63cf\u3051\u307e\u3059\u3002\u53cc\u66f2\u7dda\u3067\u306f\u6f38\u8fd1\u7dda\u3092\u5229\u7528\u3057\u3066\u56f3\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4e8c\u6b21\u66f2\u7dda\u3092\u5b66\u3076\u305f\u3081\u306b\u306f\u3001\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u516c\u5f0f\u3092\u899a\u3048\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u4e8c\u6b21\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u3092\u542b\u3081\u3066\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u79c1\u305f\u3061\u304c\u5b66\u3076\u4e8c\u6b21\u66f2\u7dda\u3067\u6700\u3082\u6709\u540d\u306a\u5f0f\u306f\\(y=ax^2\\)\u3067\u3059\u3002\\(y=ax^2\\)\u306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\u3053\u3046\u3057\u305f\u4e8c\u6b21\u66f2\u7dda\u306b\u306f\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u4e8c\u6b21\u5f0f\u306b\u306a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12424,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-12373","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\/12373","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=12373"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12373\/revisions"}],"predecessor-version":[{"id":12788,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12373\/revisions\/12788"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12424"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=12373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=12373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=12373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}