{"id":11178,"date":"2022-11-22T00:59:48","date_gmt":"2022-11-21T15:59:48","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11178"},"modified":"2022-11-27T13:21:08","modified_gmt":"2022-11-27T04:21:08","slug":"straight-line","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/straight-line.html","title":{"rendered":"\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a2\u76f4\u7dda\u306e\u95a2\u4fc2\u3001\u5e73\u884c\u6761\u4ef6\u30fb\u5782\u76f4\u6761\u4ef6"},"content":{"rendered":"\n<p>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u50be\u304d\u3068\u5207\u7247\u304c\u308f\u304b\u308c\u3070\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u307b\u304b\u306e\u65b9\u6cd5\u306b\u3088\u3063\u3066\u3082\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3067\u3042\u308c\u3070\u3001\u50be\u304d\u304c\u308f\u304b\u308c\u3070\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u307e\u305f2\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306b\u3064\u3044\u3066\u3082\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u306b\u52a0\u3048\u3066\u3001\u5e73\u884c\u6761\u4ef6\u3068\u5782\u76f4\u6761\u4ef6\u3092\u5229\u7528\u3057\u3066\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u308c\u3089\u306e\u5185\u5bb9\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u8a08\u7b97\u3067\u304d\u305f\u308a\u3001\u5b9a\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u308a\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u4f5c\u308a\u65b9\u30842\u76f4\u7dda\u306e\u95a2\u4fc2\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u70b9\u3092\u901a\u308b\u76f4\u7dda<\/h2>\n<p>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u65e2\u306b\u5b66\u3093\u3067\u3044\u307e\u3059\u3002\u50be\u304d\\(a\\)\u3001\u5207\u7247\\(b\\)\u306e\u76f4\u7dda\u306f\\(y=ax+b\\)\u306b\u3088\u3063\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u50be\u304d\\(a\\)\u306e\u76f4\u7dda\u306b\u3064\u3044\u3066\u3001\u70b9A\\((x_1,y_1)\\)\u3092\u901a\u308b\u76f4\u7dda\u306f\u3069\u306e\u3088\u3046\u306b\u8868\u305b\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u5207\u7247\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u76f4\u7dda\u3092\u5f97\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3059\u3002\u305f\u3060\u8a08\u7b97\u304c\u9762\u5012\u3067\u3042\u308a\u3001\u8a08\u7b97\u306a\u3057\u306b\u76f4\u7dda\u306e\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u50be\u304d\u3068\u5ea7\u6a19\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y-y_1=a(x-x_1)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/doepl4.jpg\" alt=\"\" width=\"471\" height=\"317\" class=\"aligncenter size-full wp-image-11180\" \/><\/p>\n<p>\u50be\u304d\u306f\u5fc5\u305a\\(a\\)\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u76f4\u7dda\u306e\u50be\u304d\u3092\\(\\displaystyle\\frac{y-y_1}{x-x_1}\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\\(\\displaystyle\\frac{y-y_1}{x-x_1}=a\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(y-y_1=a(x-x_1)\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u7570\u306a\u308b2\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u6c42\u3081\u65b9<\/h3>\n<p>\u6b21\u306b\u3001\u7570\u306a\u308b2\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\\(y=ax+b\\)\u306b\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u3001\u50be\u304d\u3068\u5207\u7247\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u76f4\u7dda\u306e\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u3088\u308a\u7c21\u5358\u306a\u65b9\u6cd5\u306b\u3088\u3063\u3066\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u5148\u307b\u3069\u3001\u50be\u304d\u3092\u5229\u7528\u3057\u3066\u516c\u5f0f\\(y-y_1=a(x-x_1)\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u540c\u69d8\u306b\u3001<span style=\"color: #0000ff;\">\u50be\u304d\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u3092\u5229\u7528\u3057\u3066\u3001\u7570\u306a\u308b2\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u4f8b\u3048\u3070\u3001\u70b9A\\((x_1,y_1)\\)\u3068\u70b9B\\((x_2,y_2)\\)\u3092\u901a\u308b\u76f4\u7dda\u306f\u3069\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u76f4\u7dda\u306e\u50be\u304d\u306f\u5171\u901a\u3057\u3066\u3044\u307e\u3059\u3002\u70b9A\u306b\u5bfe\u3059\u308b\u50be\u304d\u306f\\(\\displaystyle\\frac{y-y_1}{x-x_1}\\)\u3067\u3059\u3002\u307e\u305f\u70b9A\u3068\u70b9B\u306b\u3088\u308b\u50be\u304d\u306f\\(\\displaystyle\\frac{y_2-y_1}{x_2-x_1}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{y-y_1}{x-x_1}=\\displaystyle\\frac{y_2-y_1}{x_2-x_1}\\)<\/li>\n<li>\\(y-y_1=\\displaystyle\\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/doepl5.jpg\" alt=\"\" width=\"427\" height=\"317\" class=\"aligncenter size-full wp-image-11181\" \/><\/p>\n<p>\u3069\u3061\u3089\u306e\u5f0f\u3092\u5229\u7528\u3057\u3066\u3082\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u306a\u304a<span style=\"color: #0000ff;\">\u516c\u5f0f\u3092\u899a\u3048\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u306a\u305c\u3053\u308c\u3089\u306e\u516c\u5f0f\u304c\u6709\u52b9\u306a\u306e\u304b\u3092\u5b66\u3073\u307e\u3057\u3087\u3046<\/span>\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u3044\u3064\u3067\u3082\u516c\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>2\u76f4\u7dda\u306e\u5e73\u884c\u6761\u4ef6\u3068\u5782\u76f4\u6761\u4ef6<\/h3>\n<p>\u3053\u3053\u307e\u3067\u306e\u8aac\u660e\u3088\u308a\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3068\u304d\u306b\u50be\u304d\u304c\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u30022\u3064\u306e\u76f4\u7dda\u306e\u95a2\u4fc2\u3092\u8868\u3059\u3068\u304d\u3001\u3072\u3093\u3071\u3093\u306b\u5229\u7528\u3055\u308c\u308b\u95a2\u4fc2\u304c\u5e73\u884c\u3068\u5782\u76f4\u3067\u3059\u3002<span style=\"color: #ff0000;\">2\u3064\u306e\u76f4\u7dda\u304c\u5e73\u884c\u306a\u5834\u5408\u3001\u50be\u304d\u306f\u5fc5\u305a\u540c\u3058\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u305d\u308c\u305e\u308c\u306e\u76f4\u7dda\u306e\u50be\u304d\u304c\\(a_1\\)\u3068\\(a_2\\)\u306e\u5834\u5408\u3001\\(a_1=a_2\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f<span style=\"color: #ff0000;\">2\u3064\u306e\u76f4\u7dda\u304c\u5782\u76f4\u306a\u5834\u5408\u3001\u50be\u304d\u3092\u304b\u3051\u308b\u3068-1\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u3064\u307e\u308a\u3001\\(a_1a_2=-1\\)\u3067\u3059\u3002\u3053\u308c\u304c\u5782\u76f4\u6761\u4ef6\u3067\u3059\u3002<\/p>\n<p>\u5e73\u884c\u6761\u4ef6\u3068\u5782\u76f4\u6761\u4ef6\u306f\u57fa\u672c\u7684\u306a\u5185\u5bb9\u3067\u3042\u308b\u305f\u3081\u3001\u5fc5\u305a\u899a\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5b9a\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f<\/h2>\n<p>\u305d\u308c\u3067\u306f\u30012\u76f4\u7dda\u304c\u95a2\u308f\u308b\u5fdc\u7528\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u307e\u305a\u3001\u5b9a\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(k\\)\u3092\u5b9a\u6570\u3068\u3057\u307e\u3059\u3002\u76f4\u7dda\\((2+k)x+(1-3k)y-5k-3=0\\)\u306f\\(k\\)\u306e\u5024\u306b\u95a2\u4fc2\u306a\u304f\u5b9a\u70b9A\u3092\u901a\u308a\u307e\u3059\u3002\u5b9a\u70b9A\u306e\u5ea7\u6a19\u306f\u4f55\u3067\u3059\u304b\u3002<\/li>\n<\/ul>\n<p><span style=\"color: #0000ff;\">\\(k\\)\u306e\u5024\u306b\u95a2\u4fc2\u306a\u304f\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3068\u3044\u3046\u306e\u306f\u3001\\(k\\)\u306b\u95a2\u3059\u308b\u6052\u7b49\u5f0f\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\\(k\\)\u304c\u3069\u306e\u3088\u3046\u306a\u5024\u3067\u3042\u3063\u3066\u3082\u6210\u308a\u7acb\u3064\u3088\u3046\u306b\u3001\\(k\\)\u3092\u5229\u7528\u3057\u3066\u6574\u7406\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((2+k)x+(1-3k)y-5k-3=0\\)<\/p>\n<p>\\((y+2x-3)+(-3y+x-5)k=0\\)<\/p>\n<p>\\(k\\)\u306e\u5024\u306b\u95a2\u4fc2\u306a\u304f\u3053\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3064\u305f\u3081\u306b\u306f\u3001\\(y+2x-3=0\\)\u304b\u3064\\(-3y+x-5=0\\)\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u3042\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u5f0f\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}3y+6x-9=0\\\\-3y+x-5=0\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\\(7x=14\\)<\/p>\n<p>\\(x=2\\)<\/p>\n<p>\\(x=2\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(y=-1\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5b9a\u70b9A\u306e\u5ea7\u6a19\u306f\\((2,-1)\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>2\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u76f4\u7dda<\/h3>\n<p>\u5148\u307b\u3069\u30012\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3066\u5b9a\u6570\\(k\\)\u3092\u52a0\u3048\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7279\u5b9a\u306e\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>2\u3064\u306e\u76f4\u7dda\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4ea4\u70b9\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5b9a\u6570\\(k\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u300c2\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u901a\u308b\u76f4\u7dda\u300d\u3092\u8868\u73fe\u3067\u304d\u308b\u306e\u3067\u3059\u3002\u3053\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x+y-4=0\\)\u3068\\(2x-y+1=0\\)\u306e\u4ea4\u70b9\u3092\u901a\u308a\u3001\u76f4\u7dda\\(x+2y+1=0\\)\u306b\u5e73\u884c\u306a\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\\(x+y-4=0\\)\u3068\\(2x-y+1=0\\)\u306e\u4ea4\u70b9\u306e\u5ea7\u6a19\u3092\u8a08\u7b97\u3057\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3059\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u30012\u76f4\u7dda\u306e\u4ea4\u70b9\u306f\\((1,3)\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u50be\u304d\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3001\u3088\u308a\u96e3\u6613\u5ea6\u306e\u9ad8\u3044\u5fdc\u7528\u554f\u984c\u3092\u89e3\u304f\u5834\u5408\u3001\u5b9a\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u305d\u3053\u3067\u30012\u76f4\u7dda\u306e\u5b9a\u70b9\u3068\u5e73\u884c\u6761\u4ef6\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x+y-4=0\\)\u3068\\(2x-y+1=0\\)\u306e\u4ea4\u70b9\u3092\u901a\u308b\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+y-4)k+(2x-y+1)=0\\)<\/li>\n<\/ul>\n<p>\u203b\\((x+y-4)+(2x-y+1)k=0\\)\u3067\u3082\u554f\u984c\u306a\u3044\u3002<\/p>\n<p>\u3053\u306e\u5f0f\u3092\\(x\\)\u3068\\(y\\)\u306b\u3064\u3044\u3066\u6574\u7406\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((k+2)x+(k-1)y-4k+1=0\\)<\/p>\n<p>\u3053\u306e\u5f0f\u3068\u76f4\u7dda\\(x+2y+1=0\\)\u304c\u5e73\u884c\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u76f4\u7dda\\(x+2y+1=0\\)\u306e\u50be\u304d\u306f\\(-\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002\u307e\u305f\u3001\\((k+2)x+(k-1)y-4k+1=0\\)\u306e\u50be\u304d\u306f\\(-\\displaystyle\\frac{k+2}{k-1}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(-\\displaystyle\\frac{k+2}{k-1}=-\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\\(2k+4=k-1\\)<\/p>\n<p>\\(k=-5\\)<\/p>\n<p>\\(k=-5\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u3066\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(-5(x+y-4)+(2x-y+1)=0\\)<\/p>\n<p>\\(-3x-6y+21=0\\)<\/p>\n<p>\\(x+2y-7=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(x+2y-7=0\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>2\u76f4\u7dda\u306e\u5171\u6709\u70b9\u3068\u89e3\uff1a\u4e09\u89d2\u5f62\u3092\u4f5c\u3089\u306a\u3044\u6761\u4ef6<\/h3>\n<p>\u306a\u304a\\(a_1x+b_1y+c_1=0\\)\u3068\\(a_2x+b_2y+c_2=0\\)\u306e2\u76f4\u7dda\u306e\u5171\u6709\u70b9\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>2\u76f4\u7dda\u304c1\u3064\u306e\u70b9\u3067\u4ea4\u308f\u308b\uff1a2\u3064\u306e\u5f0f\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f1\u3064\u306e\u89e3\u3092\u3082\u3064<\/li>\n<li>2\u76f4\u7dda\u304c\u5e73\u884c\uff1a2\u3064\u306e\u5f0f\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f\u89e3\u304c\u306a\u3044<\/li>\n<li>2\u76f4\u7dda\u304c\u4e00\u81f4\uff1a2\u3064\u306e\u5f0f\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f\u7121\u6570\u306e\u89e3\u3092\u3082\u3064<\/li>\n<\/ul>\n<p>\u5f53\u305f\u308a\u524d\u3067\u306f\u3042\u308a\u307e\u3059\u304c\u3001\u3053\u308c\u3089\u306e\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002\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>3\u76f4\u7dda\\(x+y-4=0\\)\u3001\\(2x-y+1=0\\)\u3001\\(3x-ay-a=0\\)\u306b\u3064\u3044\u3066\u3001\u4e09\u89d2\u5f62\u3092\u4f5c\u3089\u306a\u3044\u5b9a\u6570\\(a\\)\u306e\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>3\u3064\u306e\u76f4\u7dda\u304c\u4e09\u89d2\u5f62\u3092\u4f5c\u3089\u306a\u3044\u6761\u4ef6\u306f\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n<ul>\n<li>3\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308b<\/li>\n<li>2\u76f4\u7dda\u304c\u5e73\u884c<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/doepl7.jpg\" alt=\"\" width=\"559\" height=\"175\" class=\"aligncenter size-full wp-image-11188\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u30b1\u30fc\u30b9\u3067\u5834\u5408\u5206\u3051\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb3\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308b\u30b1\u30fc\u30b9<\/strong><\/p>\n<p>\\(x+y-4=0\\)\u3068\\(2x-y+1=0\\)\u3092\u5229\u7528\u3057\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u3001\u4ea4\u70b9\u306f\\((1,3)\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u76f4\u7dda\\(3x-ay-a=0\\)\u304c\\((1,3)\\)\u3092\u901a\u308c\u3070\u30013\u76f4\u7dda\u304c1\u70b9\u3067\u4ea4\u308f\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(3-3a-a=0\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{3}{4}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a=\\displaystyle\\frac{3}{4}\\)\u306e\u3068\u304d\u306b3\u76f4\u7dda\u306f\u4e09\u89d2\u5f62\u3092\u4f5c\u3089\u306a\u3044\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<p><strong>\u30fb2\u76f4\u7dda\u304c\u5e73\u884c\u306e\u30b1\u30fc\u30b9<\/strong><\/p>\n<p>\\(x+y-4=0\\)\u3068\\(2x-y+1=0\\)\u306f\u5e73\u884c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\\(3x-ay-a=0\\)\u304c\\(x+y-4=0\\)\u307e\u305f\u306f\\(2x-y+1=0\\)\u3068\u5e73\u884c\u306a\u5834\u5408\u30013\u76f4\u7dda\u306f\u4e09\u89d2\u5f62\u3092\u4f5c\u308a\u307e\u305b\u3093\u30022\u76f4\u7dda\u304c\u5e73\u884c\u3068\u3044\u3046\u306e\u306f\u3001\u50be\u304d\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u50be\u304d\u304c\u540c\u3058\u3068\u306a\u308b\\(a\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(3x-ay-a=0\\)\u306e\u50be\u304d\u306f\\(\\displaystyle\\frac{3}{a}\\)\u3067\u3059\u3002\\(x+y-4=0\\)\u306e\u50be\u304d\u306f-1\u306a\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{3}{a}=-1\\)<\/p>\n<p>\\(a=-3\\)<\/p>\n<p>\u307e\u305f\\(2x-y+1=0\\)\u306e\u50be\u304d\u306f2\u306a\u306e\u3067\u3001\u8a08\u7b97\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{3}{a}=2\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{3}{2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a=\\displaystyle\\frac{3}{4}\\)\u306b\u52a0\u3048\u3066\\(a=-3\\)\u3068\\(a=\\displaystyle\\frac{3}{2}\\)\u3082\u7b54\u3048\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u30012\u76f4\u7dda\u306e\u95a2\u4fc2\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u56f3\u5f62\u3067\u306f\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u8a08\u7b97\u554f\u984c\u304c\u3072\u3093\u3071\u3093\u306b\u51fa\u3055\u308c\u307e\u3059\u3002\u305d\u3053\u3067\u50be\u304d\u3068\u5207\u7247\u3092\u5229\u7528\u3057\u3066\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u65b9\u6cd5\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u306e\u4ed6\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3082\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f2\u76f4\u7dda\u306e\u95a2\u4fc2\u3067\u5e73\u884c\u3068\u5782\u76f4\u306f\u91cd\u8981\u3067\u3059\u3002\u5e73\u884c\u3067\u306f\u50be\u304d\u304c\u540c\u3058\u306b\u306a\u308a\u3001\u5782\u76f4\u3067\u306f2\u3064\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068-1\u306b\u306a\u308a\u307e\u3059\u3002\u5e73\u884c\u6761\u4ef6\u3068\u5782\u76f4\u6761\u4ef6\u306f\u5fc5\u305a\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u3053\u308c\u3089\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3057\u3066\u3001\u5fdc\u7528\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u5ea7\u6a19\u3092\u5f97\u305f\u308a\u30012\u76f4\u7dda\u304c\u5b9a\u70b9\u3092\u901a\u308b\u6761\u4ef6\u5f0f\u3092\u4f5c\u3063\u305f\u308a\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>2\u76f4\u7dda\uff08\u307e\u305f\u306f3\u76f4\u7dda\uff09\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u554f\u984c\u306f\u3072\u3093\u3071\u3093\u306b\u51fa\u984c\u3055\u308c\u307e\u3059\u3002\u305d\u3053\u3067\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u50be\u304d\u3068\u5207\u7247\u304c\u308f\u304b\u308c\u3070\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u307b\u304b\u306e\u65b9\u6cd5\u306b\u3088\u3063\u3066\u3082\u76f4\u7dda\u306e\u65b9\u7a0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\u70b9\u3092\u901a\u308b\u76f4\u7dda\u3067\u3042\u308c\u3070\u3001\u50be\u304d\u304c\u308f\u304b\u308c\u3070\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u3089\u308c\u307e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11261,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11178","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\/11178","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=11178"}],"version-history":[{"count":7,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11178\/revisions"}],"predecessor-version":[{"id":11308,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11178\/revisions\/11308"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/11261"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11178"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11178"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}