{"id":5183,"date":"2022-03-07T18:48:24","date_gmt":"2022-03-07T09:48:24","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=5183"},"modified":"2023-01-25T00:06:15","modified_gmt":"2023-01-24T15:06:15","slug":"differential-3","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/differential-3.html","title":{"rendered":"\u5fae\u5206\u3092\u7528\u3044\u308b\u50be\u304d\u306e\u8a08\u7b97\u3068\u63a5\u7dda\u30fb\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u51fa\u3057\u65b9"},"content":{"rendered":"\n<p>\u9ad8\u6821\u6570\u5b66\u3067\u306f\u5fae\u5206\u3092\u5b66\u3073\u307e\u3059\u3002\u5fae\u5206\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5fae\u5206\u306b\u3088\u3063\u3066\u50be\u304d\u3092\u5f97\u305f\u5f8c\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u7c21\u5358\u306b\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u63a5\u7dda\u306b\u5bfe\u3057\u3066\u3001\u5782\u76f4\uff0890\u00b0\uff09\u306b\u4ea4\u308f\u308b\u7dda\u3092\u6cd5\u7dda\u3068\u3044\u3044\u307e\u3059\u3002\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u5834\u5408\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u3053\u308c\u3089\u63a5\u7dda\u3084\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u5834\u5408\u3001\u3088\u308a\u8907\u96d1\u306a\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u30022\u3064\u306e\u66f2\u7dda\u306b\u63a5\u3059\u308b\u7dda\u3092\u6c42\u3081\u305f\u308a\u30012\u66f2\u7dda\u304c\u63a5\u3059\u308b\u5834\u5408\u306e\u63a5\u7dda\u3092\u8a08\u7b97\u3057\u305f\u308a\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u5fae\u5206\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u63a5\u7dda\u3084\u6cd5\u7dda\u3092\u51fa\u305b\u3070\u3044\u3044\u306e\u304b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3068\u304d\u3001\u5fae\u5206\u3092\u5229\u7528\u3057\u3066\u50be\u304d\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u305f\u3044\u5834\u5408\u3001\u307e\u305a\u306f\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u5ea7\u6a19\\((2,16)\\)\u306e\u63a5\u7dda\u306e\u50be\u304d\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=2x^3\\)<\/li>\n<\/ul>\n<p>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u305f\u3081\u3001\u5fae\u5206\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y&#8217;=6x^2\\)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\\(x\\)\u5ea7\u6a19\u304c2\u306e\u3068\u304d\u3001\\(6\u00d72^2=24\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u7dda\u306e\u50be\u304d\u306f24\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5ea7\u6a19\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306e\u65b9\u7a0b\u5f0f<\/h3>\n<p>\u305f\u3060\u63a5\u7dda\u306e\u50be\u304d\u304c\u308f\u304b\u3063\u3066\u3082\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u4e00\u6b21\u95a2\u6570\u306f\\(y=ax+b\\)\u3067\u8868\u3055\u308c\u308b\u305f\u3081\u3001\\(b\\)\u306e\u5024\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001<span style=\"color: #0000ff;\">\u5ea7\u6a19\u3092\u5229\u7528\u3057\u3066\u65b9\u7a0b\u5f0f\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u50be\u304d\u306f\u65e2\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u65b9\u7a0b\u5f0f\u306f\\(y=24x+b\\)\u3067\u3059\u3002\u307e\u305f\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u5ea7\u6a19\\((2,16)\\)\u3092\u901a\u308b\u305f\u3081\u3001\\(y=24x+b\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(16=24\u00d72+b\\)<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\\(y=24x+b\\)\u304b\u3089\\(16=24\u00d72+b\\)\u3092\u5f15\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}y=24x+b\\\\16=24\u00d72+b\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y-16=24(x-2)\\)<\/p>\n<p>\u3053\u306e\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\\(y=24x-32\\)\u304c\u7b54\u3048\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3064\u307e\u308a<span style=\"color: #0000ff;\">\\((2,16)\\)\u3092\u901a\u308a\u3001\u50be\u304d\u304c24\u306e\u76f4\u7dda\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>\u306a\u304a\u5148\u307b\u3069\u8a08\u7b97\u3057\u305f\u308a\u65b9\u7a0b\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\u63a5\u7dda\u3092\u51fa\u3059\u305f\u3081\u306e\u516c\u5f0f\u3092\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\\(x\\)\u5ea7\u6a19\u304c\\(a\\)\u306e\u5834\u5408\u3001\u63a5\u7dda\u306e\u50be\u304d\u306f\\(f'(a)\\)\u3067\u3059\u3002\u307e\u305f\u5ea7\u6a19\u306f\\((a,f(a))\\)\u306a\u306e\u3067\u3001\u63a5\u7dda\u306e\u516c\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y-f(a)=f'(a)\u00d7(x-a)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyh1.jpg\" alt=\"\" width=\"600\" height=\"249\" class=\"aligncenter size-full wp-image-5185\" \/><\/p>\n<p>\u3053\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u305b\u305a\u306b\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u50be\u304d\u304c24\u3067\u3042\u308a\u3001\u5ea7\u6a19\\((2,16)\\)\u3092\u901a\u308b\u306e\u3067\u3042\u308c\u3070\u3001\u516c\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\\(y-16=24(x-2)\\)\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u50be\u304d\u306e\u307f\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306e\u65b9\u7a0b\u5f0f\u306e\u51fa\u3057\u65b9<\/h3>\n<p>\u6b21\u306b\u3001\u50be\u304d\u306e\u307f\u308f\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306e\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u51fa\u3057\u65b9\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u3064\u307e\u308a\u3001\u63a5\u70b9\u304c\u308f\u304b\u3063\u3066\u3044\u306a\u3044\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=x^3\\)\u306b\u3064\u3044\u3066\u3001\u50be\u304d\u304c3\u306e\u3068\u304d\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u306f\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y&#8217;=3x^2\\)<\/p>\n<p>\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\\(a\\)\u3068\u3059\u308b\u3068\u3001\u63a5\u7dda\u306e\u50be\u304d\u306f\\(3a^2\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u50be\u304d\u306f3\u3068\u308f\u304b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(3a^2=3\\)<\/p>\n<p>\\(a^2=1\\)<\/p>\n<p>\\(a=-1,1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(a=-1\\)\u307e\u305f\u306f\\(a=1\\)\u306e\u3068\u304d\u3001\u50be\u304d\u304c3\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3064\u307e\u308a\\((-1,-1)\\)\u3068\\((1,1)\\)\u306e\u5ea7\u6a19\u306b\u3064\u3044\u3066\u3001\u63a5\u7dda\u3092\u5f15\u304f\u3068\u50be\u304d\u304c3\u306e\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u30a4\u30e1\u30fc\u30b8\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\/03\/iyh11.jpg\" alt=\"\" width=\"261\" height=\"286\" class=\"aligncenter size-full wp-image-5186\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u50be\u304d\u304c3\u3067\\((-1,-1)\\)\u307e\u305f\u306f\\((1,1)\\)\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u63a5\u70b9\\((-1,-1)\\)\u3092\u901a\u308b\u76f4\u7dda<\/strong><\/p>\n<p>\u63a5\u7dda\u306e\u516c\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068<\/p>\n<p>\\(y+1=3(x+1)\\)<\/p>\n<p>\\(y=3x+2\\)<\/p>\n<p><strong>\u30fb\u63a5\u70b9\\((1,1)\\)\u3092\u901a\u308b\u76f4\u7dda<\/strong><\/p>\n<p>\u63a5\u7dda\u306e\u516c\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068<\/p>\n<p>\\(y-1=3(x-1)\\)<\/p>\n<p>\\(y=3x-2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u66f2\u7dda\u4e0a\u306b\u306a\u3044\u70b9\u3092\u901a\u308b\u5834\u5408\u306e\u7b54\u3048<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u66f2\u7dda\u4e0a\u306b\u306a\u3044\u70b9\u3092\u901a\u308b\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\u3001\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\\(y-f(a)\\)\\(=f'(a)\u00d7(x-a)\\)\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u7b54\u3048\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=x^3-5x^2+4x\\)\u306b\u63a5\u3057\u3001\u539f\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u30a4\u30e1\u30fc\u30b8\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\/03\/iyh15.jpg\" alt=\"\" width=\"379\" height=\"243\" class=\"aligncenter size-full wp-image-5187\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u30b0\u30e9\u30d5\u4e0a\u3067\u306f\u306a\u3044\u70b9\u3092\u901a\u308a\u307e\u3059\u3002\u307e\u305f\u4eca\u56de\u306e\u554f\u984c\u3067\u306f\u3001\u76f4\u7dda\u306f\u539f\u70b9\\((0,0)\\)\u3092\u901a\u308a\u307e\u3059\u3002\u306a\u304a\u50be\u304d\u3092\u51fa\u3059\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u307e\u305a\u306f\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y&#8217;=3x^2-10x+4\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u70b9\\((a,f(a))\\)\u3067\u306e\u63a5\u7dda\u306e\u50be\u304d\u306f\\(3a^2-10a+4\\)\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\\(x\\)\u5ea7\u6a19\u304c\\(a\\)\u306e\u3068\u304d\u3001\\(y\\)\u306f\\(f(a)=a^3-5a^2+4a\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y-(a^3-5a^2+4a)\\)\\(=(3a^2-10a+4)(x-a)\\)<\/p>\n<p>\\(y-a^3+5a^2-4a\\)\\(=(3a^2-10a+4)x\\)\\(-3a^3+10a^2-4a\\)<\/p>\n<p>\\(y=(3a^2-10a+4)x-2a^3+5a^2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u70b9\\(a\\)\u3092\u901a\u308b\u4e00\u6b21\u65b9\u7a0b\u5f0f\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u539f\u70b9\u3092\u901a\u308b\u305f\u3081\u3001\u76f4\u7dda\u306f\\((0,0)\\)\u3092\u901a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(x=0,y=0\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(-2a^3+5a^2=0\\)<\/p>\n<p>\u3053\u306e\u5f0f\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(-2a^3+5a^2=0\\)<\/p>\n<p>\\(-a^2(2a-5)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a=0\\)\u307e\u305f\u306f\\(a=\\displaystyle\\frac{5}{2}\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\\(y=(3a^2-10a+4)x\\)\\(-2a^3+5a^2\\)\u306b\u3064\u3044\u3066\u3001\\(a=0\\)\u3068\\(a=\\displaystyle\\frac{5}{2}\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb\\(a=0\\)\u306e\u3068\u304d<\/strong><\/p>\n<p>\\(y=4x\\)<\/p>\n<p><strong>\u30fb\\(a=\\displaystyle\\frac{5}{2}\\)\u306e\u3068\u304d<\/strong><\/p>\n<p>\\(y=\\{3\u00d7\\left(\\displaystyle\\frac{5}{2}\\right)^2-10\u00d7\\left(\\displaystyle\\frac{5}{2}\\right)+4\\}x+0\\)<\/p>\n<p>\\(y=(\\displaystyle\\frac{75}{4}-25+4)x\\)<\/p>\n<p>\\(y=-\\displaystyle\\frac{9}{4}x\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ure6.jpg\" alt=\"\" width=\"350\" height=\"257\" class=\"aligncenter size-full wp-image-5188\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u70b9\\((a,f(a))\\)\u306e\u63a5\u7dda\u306b\u3064\u3044\u3066\u3001\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u3053\u306e\u65b9\u7a0b\u5f0f\u304c\u7279\u5b9a\u306e\u70b9\u3092\u901a\u308b\u5834\u5408\u3001\u305d\u306e\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u65b9\u6cd5<\/h2>\n<p>\u306a\u304a\u5fae\u5206\u3092\u5229\u7528\u3057\u3066\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u3060\u3059\u5834\u5408\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u554f\u308f\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u6cd5\u7dda\u3068\u306f\u3001\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u76f4\u89d2\u306b\u4ea4\u308f\u308b\u7dda\u3092\u6307\u3057\u307e\u3059\u3002\u63a5\u7dda\u306b\u5bfe\u3057\u3066\u3001\u6cd5\u7dda\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\/03\/iyh2.jpg\" alt=\"\" width=\"349\" height=\"371\" class=\"aligncenter size-full wp-image-5190\" \/><\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u76f4\u89d2\u306b\u4ea4\u308f\u308b\u76f4\u7dda\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u3068\u304d\u76f4\u89d2\u306b\u4ea4\u308f\u308b\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u3001\u300c<span style=\"color: #ff0000;\">\u63a5\u7dda\u3068\u6cd5\u7dda\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068\u5fc5\u305a-1\u306b\u306a\u308b<\/span>\u300d\u3068\u3044\u3046\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u6cd5\u7dda\u306e\u50be\u304d\u3092\\(a\\)\u3068\u3059\u308b\u5834\u5408\u3001\\(y=2x\\)\u306b\u5bfe\u3059\u308b\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(2\u00d7a=-1\\)\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(a=-\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\\(y=5x\\)\u306b\u5bfe\u3059\u308b\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(5\u00d7a=-1\\)\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(a=-\\displaystyle\\frac{1}{5}\\)\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u76f4\u89d2\u306b\u4ea4\u308f\u308b\u76f4\u7dda\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068\u5fc5\u305a-1\u306b\u306a\u308b\u6027\u8cea\u3092\u899a\u3048\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u6cd5\u7dda\u304c\u95a2\u308f\u308b\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=x^3+x\\)\u306b\u3064\u3044\u3066\u3001\u70b9\\((1,2)\\)\u3092\u901a\u308b\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306f\u65e2\u306b\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u63a5\u7dda\u3067\u306f\u306a\u304f\u3001\u6cd5\u7dda\u3092\u6c42\u3081\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u6cd5\u7dda\u306e\u50be\u304d\u3092\u5f97\u308b\u305f\u3081\u3001\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y=3x^2+1\\)<\/p>\n<p>\\(x=1\\)\u306e\u3068\u304d\u3001\u63a5\u7dda\u306e\u50be\u304d\u306f\\(3\u00d71^2+1=4\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(-\\displaystyle\\frac{1}{4}\\)\u3067\u3059\u3002<\/p>\n<p>\u50be\u304d\u304c\u308f\u304b\u308c\u3070\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u70b9\\((a,f(a))\\)\u3092\u901a\u308b\u63a5\u7dda\u306e\u50be\u304d\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>\\(y-f(a)=f'(a)\u00d7(x-a)\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">\u50be\u304d\u3068\u63a5\u70b9\u306e\u5ea7\u6a19\u304c\u308f\u304b\u308c\u3070\u3001\u516c\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305f\u3060\u63a5\u7dda\u3067\u306f\u306a\u304f\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u51fa\u3055\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u63a5\u7dda\u306e\u50be\u304d\u3067\u306f\u306a\u304f\u3001\u6cd5\u7dda\u306e\u50be\u304d\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(-\\displaystyle\\frac{1}{4}\\)\u3067\u3042\u308a\u3001\u70b9\\((1,2)\\)\u3092\u901a\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y-2=-\\displaystyle\\frac{1}{4}(x-1)\\)<\/p>\n<p>\\(y=-\\displaystyle\\frac{1}{4}x+\\displaystyle\\frac{9}{4}\\)<\/p>\n<p>\u63a5\u7dda\u306e\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u63a5\u7dda\u306e\u50be\u304d\u3067\u306f\u306a\u304f\u3001\u6cd5\u7dda\u306e\u50be\u304d\u3092\u4ee3\u5165\u3057\u305f\u5f8c\u3001\u63a5\u70b9\u306e\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u6cd5\u7dda\u306e\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u524d\u8ff0\u306e\u901a\u308a\u3001\u63a5\u7dda\u306e\u50be\u304d\u3068\u6cd5\u7dda\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068-1\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6cd5\u7dda\u306e\u50be\u304d\u306f\\(-\\displaystyle\\frac{1}{f'(a)}\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u304c\\(a\\)\u306e\u5834\u5408\u3001\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y-f(a)=-\\displaystyle\\frac{1}{f'(a)}\u00d7(x-a)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyh3.jpg\" alt=\"\" width=\"600\" height=\"240\" class=\"aligncenter size-full wp-image-5191\" \/><\/p>\n<p>\u305f\u3060\u3001\u3053\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u51fa\u3059\u516c\u5f0f\u3092\u7406\u89e3\u3057\u3066\u3044\u308c\u3070\u3001\u516c\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\u6cd5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u51fa\u3059\u516c\u5f0f\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<h2>\u76f4\u7dda\u304c2\u3064\u306e\u66f2\u7dda\u306b\u63a5\u3059\u308b\u5834\u5408\u306e\u89e3\u7b54<\/h2>\n<p>\u6b21\u306b\u3001\u767a\u5c55\u7684\u306a\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u76f4\u7dda\uff08\u4e00\u6b21\u65b9\u7a0b\u5f0f\uff09\u304c2\u3064\u306e\u66f2\u7dda\u306b\u63a5\u3059\u308b\u3068\u304d\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u3088\u3046\u306b\u3059\u308b\u306e\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyh5.jpg\" alt=\"\" width=\"350\" height=\"219\" class=\"aligncenter size-full wp-image-5192\" \/><\/p>\n<p>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u51fa\u3059\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u5fae\u5206\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\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>\\(y=x^2-6x+5\\)\u3068\\(y=-x^2\\)\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\u5171\u901a\u3059\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\\(y=-x^2\\)\u3092\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y&#8217;=-2x\\)<\/li>\n<\/ul>\n<p>\\(y=-x^2\\)\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\\(a\\)\u3068\u3059\u308b\u3068\u3001\u63a5\u70b9\u306f\\((a,-a^2)\\)\u306b\u306a\u308a\u307e\u3059\u3002\u50be\u304d\uff08\\(-2a\\)\uff09\u3068\u63a5\u70b9\u304c\u308f\u304b\u308b\u305f\u3081\u3001\\(y=-x^2\\)\u306e\u63a5\u7dda\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y-(-a^2)=-2a(x-a)\\)<\/p>\n<p>\\(y+a^2=-2ax+2a^2\\)<\/p>\n<p>\\(y=-2ax+a^2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(y=-x^2\\)\u306e\u63a5\u7dda\u304c\\(y=-2ax+a^2\\)\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\\(y=-2ax+a^2\\)\u306f\\(y=x^2-6x+5\\)\u3068\u3082\u63a5\u3057\u307e\u3059\u30022\u3064\u306e\u95a2\u6570\u304c\u63a5\u3059\u308b\u305f\u3081\u3001\\(y\\)\u306e\u5024\u304c\u540c\u3058\u306b\u306a\u308b\u70b9\u3092\u3082\u3061\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(-2ax+a^2=x^2-6x+5\\)<\/p>\n<p>\\(x^2+(2a-6)x+5-a^2=0\\)<\/p>\n<p>\u307e\u305f<span style=\"color: #0000ff;\">2\u3064\u306e\u95a2\u6570\u304c\u63a5\u3059\u308b\u6761\u4ef6\u3068\u3057\u3066\u3001\u4e8c\u6b21\u95a2\u6570\u304c\u91cd\u89e3\u3092\u3082\u305f\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/span>\u3064\u307e\u308a\u3001\u5224\u5225\u5f0f\u304c\u30bc\u30ed\uff08\\(D=0\\)\uff09\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\\(D=b^2-4ac\\)<\/p>\n<p>\u4ee3\u5165\u3059\u308b\u3068\u3001<\/p>\n<p>\\((2a-6)^2-4\u00d71\u00d7(5-a^2)=0\\)<\/p>\n<p>\\((4a^2-24a+36)-20+4a^2=0\\)<\/p>\n<p>\\(8a^2-24a+16=0\\)<\/p>\n<p>\\(8(a^2-3a+2)=0\\)<\/p>\n<p>\\(8(a-1)(a-2)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a=1\\)\u307e\u305f\u306f\\(a=2\\)\u306e\u3068\u304d\u3001\u63a5\u7dda\\(y=-2ax+a^2\\)\u306f\\(y=x^2-6x+5\\)\u3068\u3082\u63a5\u3059\u308b\uff08\u91cd\u89e3\u3092\u3082\u3064\uff09\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(a=1\\)\u3068\\(a=2\\)\u3092\\(y=-2ax+a^2\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=-2x+1\\)<\/li>\n<li>\\(y=-4x+4\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\\(y=x^2-6x+5\\)\u3068\\(y=-x^2\\)\u306b\u63a5\u3059\u308b\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u53c2\u8003\u307e\u3067\u306b\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30a4\u30e1\u30fc\u30b8\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf15.jpg\" alt=\"\" width=\"350\" height=\"246\" class=\"aligncenter size-full wp-image-5193\" \/><\/p>\n<p>\u4eca\u56de\u306e\u554f\u984c\u306b\u3064\u3044\u3066\u3001\u5225\u306e\u65b9\u6cd5\u3092\u5229\u7528\u3057\u3066\u89e3\u304f\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u5fae\u5206\u3092\u5229\u7528\u3059\u308c\u3070\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u8a08\u7b97\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>2\u3064\u306e\u66f2\u7dda\u304c\u63a5\u3059\u308b\u3068\u304d\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f<\/h3>\n<p>\u6b21\u306b\u30012\u3064\u306e\u66f2\u7dda\u304c\u4e92\u3044\u306b\u63a5\u3059\u308b\u3068\u304d\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u30a4\u30e1\u30fc\u30b8\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyh9.jpg\" alt=\"\" width=\"200\" height=\"193\" class=\"aligncenter size-full wp-image-5194\" 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