{"id":11190,"date":"2022-11-22T14:41:57","date_gmt":"2022-11-22T05:41:57","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11190"},"modified":"2022-11-26T00:10:29","modified_gmt":"2022-11-25T15:10:29","slug":"point-and-line","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/point-and-line.html","title":{"rendered":"\u7dda\u5bfe\u79f0\u30fb\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\uff1a\u516c\u5f0f\u306e\u5229\u7528\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u91cd\u8981\u306a\u6982\u5ff5\u304c\u7dda\u5bfe\u79f0\u3067\u3059\u3002\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9\u3092\u5f97\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u6761\u4ef6\u304c\u6210\u7acb\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u304a2\u3064\u306e\u70b9\u304c\u7dda\u5bfe\u79f0\u306e\u5834\u5408\u30012\u70b9\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u306f\u540c\u3058\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u7dda\u5bfe\u79f0\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u591a\u3044\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u516c\u5f0f\u306e\u8a3c\u660e\u306f\u8907\u96d1\u306a\u306e\u3067\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3082\u306e\u306e\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9\u3068\u306a\u308b\u6761\u4ef6\u306b\u306f\u4f55\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5f97\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3001\u4f8b\u984c\u3092\u542b\u3081\u3066\u516c\u5f0f\u306e\u5229\u7528\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9\u306e\u6761\u4ef6<\/h2>\n<p>\u7279\u5b9a\u306e\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u3001\u5bfe\u79f0\u95a2\u4fc2\u306b\u3042\u308b\u70b9\u3092\u5f97\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u4f8b\u3048\u3070\u3001\u4e0b\u56f3\u306e\u3088\u3046\u306b\u76f4\u7dda\\(l\\)\u306b\u5bfe\u3057\u3066\u70b9P\u3068\u70b9Q\u304c\u5bfe\u79f0\u95a2\u4fc2\u306b\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e2\u3064\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u76f4\u7dda\\(l\\)\u3068PQ\u306f\u5782\u76f4\uff1a\\(l\u22a5PQ\\)<\/li>\n<li>\u7dda\u5206PQ\u306e\u4e2d\u70b9\u306f\\(l\\)\u4e0a\u306b\u5b58\u5728\u3059\u308b<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg1.jpg\" alt=\"\" width=\"284\" height=\"217\" class=\"aligncenter size-full wp-image-11196\" \/><\/p>\n<p>\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-1=0\\)\u306b\u5bfe\u3057\u3066\u3001\u70b9P\\((3,2)\\)\u3068\u5bfe\u79f0\u306a\u70b9Q\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u70b9Q\u306e\u5ea7\u6a19\u3092\\((a,b)\\)\u3068\u3057\u307e\u3059\u3002\u76f4\u7dda\u3068PQ\u306f\u5782\u76f4\u3067\u4ea4\u308f\u308b\u305f\u3081\u3001\u305d\u308c\u305e\u308c\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068-1\u306b\u306a\u308a\u307e\u3059\u3002\\(x+y-1=0\\)\u306e\u50be\u304d\u306f-1\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(-1\u00d7\\displaystyle\\frac{b-2}{a-3}=-1\\)<\/p>\n<p>\\(b-2=a-3\\)<\/p>\n<p>\\(b=a-1\\)<\/p>\n<p>\u307e\u305f\u3001\u7dda\u5206PQ\u306e\u4e2d\u70b9\u306f\\(l\\)\u4e0a\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u7dda\u5206PQ\u306e\u4e2d\u70b9\u306e\u5ea7\u6a19\u306f\\(\\left(\\displaystyle\\frac{a+3}{2},\\displaystyle\\frac{b+2}{2}\\right)\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u306e\u5ea7\u6a19\u3092\u76f4\u7dda\\(l\\)\u306e\u65b9\u7a0b\u5f0f\\(x+y-1=0\\)\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{a+3}{2}+\\displaystyle\\frac{b+2}{2}-1=0\\)<\/p>\n<p>\\((a+3)+(b+2)-2=0\\)<\/p>\n<p>\\(a+b+3=0\\)<\/p>\n<p>\\(b=a-1\\)\u3068\\(a+b+3=0\\)\u306e\u4e21\u65b9\u3092\u6e80\u305f\u3059\u5024\u304c\u7b54\u3048\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(b=a-1\\)\u3092\\(a+b+3=0\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a+(a-1)+3=0\\)<\/p>\n<p>\\(a=-1\\)<\/p>\n<p>\\(a=-1\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(b=-2\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u70b9Q\u306e\u5ea7\u6a19\u306f\\((-1,-2)\\)\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h3>\u6298\u308c\u7dda\u306e\u9577\u3055\u306e\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9\u3092\u5229\u7528\u3059\u308b\u3068\u3001\u554f\u984c\u3092\u89e3\u3051\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001<span style=\"color: #0000ff;\">\u6298\u308c\u7dda\u306e\u9577\u3055\u306e\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u5bfe\u79f0\u306a\u70b9\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u76f4\u7dda\\(l\\)\u304c\u3042\u308a\u307e\u3059\u3002\u70b9P\u3092\u901a\u308a\u3001\u70b9A\u3068\u70b9B\u306e\u8ddd\u96e2\u304c\u6700\u5c0f\u3068\u306a\u308b\u3068\u304d\u306e\u70b9P\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg3.jpg\" alt=\"\" width=\"429\" height=\"319\" class=\"aligncenter size-full wp-image-11197\" \/><\/p>\n<p>\\(AP+PB\\)\u3092\u8a08\u7b97\u3059\u308b\u306e\u306f\u5927\u5909\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9A&#8217;\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg4.jpg\" alt=\"\" width=\"429\" height=\"319\" class=\"aligncenter size-full wp-image-11198\" \/><\/p>\n<p>AP\u3068AP&#8217;\u306e\u8ddd\u96e2\u306f\u540c\u3058\u3067\u3059\u3002\u307e\u305f\\(AP+PB\\)\u304c\u6700\u5c0f\u5024\u3068\u306a\u308b\u5834\u5408\u3001A&#8217;B\u306f\u76f4\u7dda\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001<span style=\"color: #ff0000;\">A&#8217;\u3001P\u3001B\u304c\u4e00\u76f4\u7dda\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3068\u304d\u306e\u6761\u4ef6\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u3053\u308c\u306b\u3088\u308a\u3001\u6298\u308c\u7dda\u306e\u9577\u3055\u306e\u6700\u5c0f\u5024\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>2\u70b9A\\((1,6)\\)\u3068B\\((5,3)\\)\u304c\u3042\u308a\u307e\u3059\u3002\u70b9P\u304c\u76f4\u7dda\\(l:y=-x+5\\)\u4e0a\u3092\u52d5\u304f\u3068\u304d\u3001\\(AP+PB\\)\u304c\u6700\u5c0f\u5024\u3068\u306a\u308b\u70b9P\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u56f3\u3092\u4f5c\u308b\u3068\u3001\u70b9A\u3068\u70b9B\u306f\u76f4\u7dda\\(l\\)\u306b\u5bfe\u3057\u3066\u540c\u3058\u5074\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u3068\u306a\u308b\u70b9B&#8217;\\((a,b)\\)\u3092\u53d6\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg6.jpg\" alt=\"\" width=\"401\" height=\"333\" class=\"aligncenter size-full wp-image-11200\" \/><\/p>\n<p>\u307e\u305a\u3001B&#8217;\u306e\u5ea7\u6a19\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002BB&#8217;\u306e\u4e2d\u70b9\u306f\\(\\left(\\displaystyle\\frac{5+a}{2},\\displaystyle\\frac{3+b}{2}\\right)\\)\u3067\u3059\u3002\u4e2d\u70b9\u306f\\(l\\)\u4e0a\u306b\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\u65b9\u7a0b\u5f0f\\(y=-x+5\\)\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=-x+5\\)<\/p>\n<p>\\(\\displaystyle\\frac{3+b}{2}=-\\displaystyle\\frac{5+a}{2}+5\\)<\/p>\n<p>\\(3+b=-(5+a)+10\\)<\/p>\n<p>\\(b=-a+2\\)<\/p>\n<p>\u307e\u305f\\(y=-x+5\\)\u306e\u50be\u304d\u306f-1\u3067\u3042\u308a\u3001BB&#8217;\u306e\u50be\u304d\u306f\\(\\displaystyle\\frac{3-b}{5-a}\\)\u3067\u3059\u3002\u5782\u76f4\u95a2\u4fc2\u3067\u306f2\u3064\u306e\u50be\u304d\u3092\u304b\u3051\u308b\u3068-1\u306b\u306a\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(-1\u00d7\\displaystyle\\frac{3-b}{5-a}=-1\\)<\/p>\n<p>\\(3-b=5-a\\)<\/p>\n<p>\\(b-a+2=0\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(b=-a+2\\)\u3092\\(b-a+2=0\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((-a+2)-a+2=0\\)<\/p>\n<p>\\(a=2\\)<\/p>\n<p>\\(a=2\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(b=0\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001B&#8217;\u306e\u5ea7\u6a19\u306f\\((2,0)\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u305d\u3053\u3067\u3001\u70b9A\u3068\u70b9B&#8217;\u3092\u7d50\u3076\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4efb\u610f\u306e\u70b9P\\((x,y)\\)\u306b\u3064\u3044\u3066\u3001AP\u3068AB&#8217;\u306f\u50be\u304d\u304c\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{y-6}{x-1}=\\displaystyle\\frac{0-6}{2-1}\\)<\/p>\n<p>\\(y-6=-6(x-1)\\)<\/p>\n<p>\\(y=-6x+12\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u76f4\u7ddaAB&#8217;\u306e\u65b9\u7a0b\u5f0f\u306f\\(y=-6x+12\\)\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u70b9P\u306fAB&#8217;\u4e0a\u3060\u3051\u3067\u306a\u304f\u3001\u76f4\u7dda\\(l\\)\u4e0a\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u76f4\u7ddaAB&#8217;\u3068\u76f4\u7dda\\(l\\)\u306e\u4ea4\u70b9\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=-x+5\\)<\/p>\n<p>\\(-6x+12=-x+5\\)<\/p>\n<p>\\(-5x=-7\\)<\/p>\n<p>\\(x=\\displaystyle\\frac{7}{5}\\)<\/p>\n<p>\\(x=\\displaystyle\\frac{7}{5}\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(y=\\displaystyle\\frac{18}{5}\\)\u3067\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u70b9P\u306e\u5ea7\u6a19\u306f\\(\\left(\\displaystyle\\frac{7}{5},\\displaystyle\\frac{18}{5}\\right)\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h2>\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u516c\u5f0f<\/h2>\n<p>\u305d\u308c\u3067\u306f\u3001\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u70b9\\((x_1,y_1)\\)\u3068\u76f4\u7dda\\(ax+by+c=0\\)\u306e\u8ddd\u96e2\\(d\\)\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u8a08\u7b97\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>\u3053\u306e\u516c\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u306e\u306f\u5927\u5909\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u3053\u3067\u306f\u8a3c\u660e\u306e\u89e3\u8aac\u3092\u3057\u307e\u305b\u3093\u3002\u307e\u305f\u3001\u3053\u306e\u516c\u5f0f\u306f\u6697\u8a18\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u516c\u5f0f\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\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>\u76f4\u7dda\\(y=-x+4\\)\u3068\u70b9\\((4,6)\\)\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(y=-x+4\\)\u3092\u5909\u5f62\u3059\u308b\u3068\\(x+y-4=0\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(x+y-4=0\\)\u3092\u5229\u7528\u3057\u3066\u516c\u5f0f\u306b\u5f53\u3066\u306f\u3081\u307e\u3057\u3087\u3046\u3002\u70b9\u306e\u5ea7\u6a19\u306f\\((4,6)\\)\u3067\u3042\u308b\u305f\u3081\u3001\u8ddd\u96e2\\(d\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(d=\\displaystyle\\frac{|4+6-4|}{\\sqrt{1^2+1^2}}\\)<\/p>\n<p>\\(d=\\displaystyle\\frac{6}{\\sqrt{2}}\\)<\/p>\n<p>\\(d=3\\sqrt{2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u8ddd\u96e2\u306f\\(3\\sqrt{2}\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h3>\u66f2\u7dda\u4e0a\u306e\u70b9\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2<\/h3>\n<p>\u305d\u308c\u3067\u306f\u66f2\u7dda\u4e0a\u3092\u70b9\u304c\u52d5\u304f\u5834\u5408\u3001\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u76f4\u7dda\u3068\u70b9\u306e\u8ddd\u96e2\u306f\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3044\u3044\u305f\u3081\u3001\u516c\u5f0f\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>2\u70b9A\\((0,-1)\\)\u3068B\\((2,1)\\)\u304c\u3042\u308a\u307e\u3059\u3002\u70b9P\u304c\\(y=x^2\\)\u306e\u4e0a\u3092\u52d5\u304f\u3068\u304d\u3001\u25b3ABP\u306e\u9762\u7a4d\u304c\u6700\u5c0f\u3068\u306a\u308b\u70b9P\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u70b9P\u306e\\(x\\)\u5ea7\u6a19\u3092\\(t\\)\u3068\u3059\u308b\u3068\u3001\u70b9P\u306e\u5ea7\u6a19\u306f\\((t,t^2)\\)\u3067\u3059\u3002\u307e\u305f\u25b3ABP\u306e\u9762\u7a4d\u304c\u6700\u5c0f\u3068\u306a\u308b\u305f\u3081\u306b\u306f\u3001\u4e0b\u56f3\u306e\u9ad8\u3055\\(h\\)\u304c\u6700\u5c0f\u306b\u306a\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg8.jpg\" alt=\"\" width=\"460\" height=\"359\" class=\"aligncenter size-full wp-image-11202\" \/><\/p>\n<p>\u3064\u307e\u308a\u3001<span style=\"color: #0000ff;\">\u70b9P\u3068\u76f4\u7ddaAB\u306e\u8ddd\u96e2\u304c\u6700\u5c0f\u306b\u306a\u308b\u5024\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002<\/span>\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u305f\u3081\u3001\u307e\u305a\u306f\u76f4\u7ddaAB\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>\\(\\displaystyle\\frac{y-(-1)}{x-0}=\\displaystyle\\frac{1-(-1)}{2-0}\\)<\/p>\n<p>\\(y+1=x\\)<\/p>\n<p>\\(x-y-1=0\\)<\/p>\n<p>\u6b21\u306b\u3001\u76f4\u7dda\\(x-y-1=0\\)\u3068\u70b9P\\((t,t^2)\\)\u3068\u306e\u8ddd\u96e2\uff08\u4e09\u89d2\u5f62\u306e\u9ad8\u3055\uff09\\(h\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(h=\\displaystyle\\frac{|t-t^2-1|}{\\sqrt{1^2+(-1)^2}}\\)<\/p>\n<p>\\(h=\\displaystyle\\frac{1}{\\sqrt{2}}|-(t^2-t)-1|\\)<\/p>\n<p>\\(h=\\displaystyle\\frac{1}{\\sqrt{2}}\\left|-\\left(t-\\displaystyle\\frac{1}{2}\\right)^2-\\displaystyle\\frac{3}{4}\\right|\\)<\/p>\n<p>\\(h=\\displaystyle\\frac{1}{\\sqrt{2}}\\left(t-\\displaystyle\\frac{1}{2}\\right)^2+\\displaystyle\\frac{3}{4\\sqrt{2}}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(t=\\displaystyle\\frac{1}{2}\\)\u306e\u3068\u304d\u306b\u4e09\u89d2\u5f62\u306e\u9ad8\u3055\\(h\\)\u306f\u6700\u5c0f\u5024\\(\\displaystyle\\frac{3}{4\\sqrt{2}}\\)\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u70b9P\u306e\u5ea7\u6a19\u306f\\(\\left(\\displaystyle\\frac{1}{2},\\displaystyle\\frac{1}{4}\\right)\\)\u3067\u3059\u3002<\/p>\n<h2>\u5bfe\u79f0\u3068\u306a\u308b\u5834\u5408\u306e\u6761\u4ef6\u3092\u5229\u7528\u3057\u3001\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u5f97\u308b<\/h2>\n<p>\u70b9\u3068\u76f4\u7dda\u306e\u95a2\u4fc2\u3092\u77e5\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u3001\u7dda\u5bfe\u79f0\u3068\u306a\u308b\u70b9\u306e\u5ea7\u6a19\u306b\u306f\u6761\u4ef6\u304c\u3042\u308a\u307e\u3059\u30022\u3064\u306e\u6761\u4ef6\u3092\u5229\u7528\u3057\u3066\u3001\u5bfe\u79f0\u306a\u70b9\u3092\u5f97\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u516c\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u554f\u984c\u304c\u51fa\u3055\u308c\u308b\u3068\u304d\u3001\u6298\u308c\u7dda\u306e\u9577\u3055\u306e\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3057\u305f\u308a\u3001\u66f2\u7dda\u4e0a\u306e\u70b9\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u305f\u308a\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u305f\u5fdc\u7528\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u5bfe\u79f0\u306a\u70b9\u306e\u6761\u4ef6\u3068\u3001\u70b9\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u65b0\u305f\u306a\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8ddd\u96e2\u306e\u8a08\u7b97\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u56f3\u5f62\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u70b9\u3068\u76f4\u7dda\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u91cd\u8981\u306a\u6982\u5ff5\u304c\u7dda\u5bfe\u79f0\u3067\u3059\u3002\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u70b9\u3092\u5f97\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u6761\u4ef6\u304c\u6210\u7acb\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002 \u306a\u304a2\u3064\u306e\u70b9\u304c\u7dda\u5bfe\u79f0\u306e\u5834\u5408\u30012\u70b9\u3068\u76f4\u7dda\u3068\u306e\u8ddd\u96e2\u306f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11262,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11190","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\/11190","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=11190"}],"version-history":[{"count":10,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11190\/revisions"}],"predecessor-version":[{"id":11281,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11190\/revisions\/11281"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/11262"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11190"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}