{"id":2455,"date":"2025-12-24T17:19:15","date_gmt":"2025-12-24T08:19:15","guid":{"rendered":"https:\/\/math-travel.com\/?p=2455"},"modified":"2026-02-11T16:38:54","modified_gmt":"2026-02-11T07:38:54","slug":"sankakukannsuukatamuki","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/sankakukannsuukatamuki\/","title":{"rendered":"2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u3092\u89e3\u8aac\uff01\u52a0\u6cd5\u5b9a\u7406(tan)\u3092\u4f7f\u3063\u305f\u6c42\u3081\u65b9\u3068\u306f\uff1f"},"content":{"rendered":"\n
\u300c\uff12\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\uff1f\u300d<\/span><\/p>\n\n\n\n \u4eca\u56de\u306f\u3053\u3093\u306a\u751f\u5f92\u3055\u3093\u306b\u5411\u3051\u3066\u8a18\u4e8b\u3092\u66f8\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \uff12\u3064\u306e\u76f4\u7dda\u3092\u5f15\u304f\u3068\u30012\u76f4\u7dda\u306e\u9593\u306b\u89d2\u304c\u3046\u307e\u308c\u307e\u3059\u3088\u306d\u3002<\/p>\n\n\n\n \u305d\u306e\u89d2\u306e\u5927\u304d\u3055\u3092\u50be\u304d\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u516c\u5f0f\u304c\u3042\u308b\u3093\u3067\u3059\u3002<\/p>\n\n\n\n \u4eca\u56de\u306f2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u305c\u3072\u6700\u5f8c\u307e\u3067\u898b\u3066\u3044\u3063\u3066\u306d\uff01<\/p>\n\n\n \u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001 2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d<\/span>\u4e92\u3044\u306b\u5782\u76f4\u3067\u306a\u30442\u76f4\u7dda<\/p>\n \\(y=m_{1} x+n_{1}, \\quad y=m_{2} x+n_{2}\\)<\/p>\n \u306e\u306a\u3059\u89d2\u3092 \\(\\theta\\) \u3068\u3057\u3066<\/p>\n \\(\\displaystyle \\tan \\theta=|\\frac{m_{1}-m_{2}}{1+m_{1} m_{2}}|\\)<\/p>\n<\/div>\n\n\n\n \u305d\u3082\u305d\u30822\u76f4\u7dda\u304c\u306a\u3059\u89d2\u3068\u3044\u3046\u306e\u306f\u3001\u76f4\u7dda\u30922\u672c\u5f15\u3044\u305f\u3068\u304d\u306b\u4ea4\u70b9\u304c\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n \u305d\u306e\u3068\u304d\u306b\u3067\u304d\u308b\u3053\u306e\u89d2\u5ea6\u306e\u3053\u3068\u30922\u76f4\u7dda\u304c\u306a\u3059\u89d2<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n \u4f8b\u3048\u30702\u76f4\u7dda<\/p>\n\n\n\n \\(y=\\sqrt{3} x+2\\) \u304c\u5b58\u5728\u3059\u308b\u3068\u304d\u3001\u3053\u306e2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u306f<\/p>\n\n\n\n \\(m_{1}=\\sqrt{3}, \\quad m_{2}=2\u2212\\sqrt{3}\\)<\/p>\n\n\n\n \\(\\displaystyle \\tan \\theta=|{\\frac{m_{1}-m_{2}}{1+m_{1} m_{2}}}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{\\sqrt{3}-(2-\\sqrt{3})}{1+\\sqrt{3}(2-\\sqrt{3})}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{2\\sqrt{3}-2}{2\\sqrt{3}-2}|\\)<\/p>\n\n\n\n \\(\\displaystyle =1\\)<\/p>\n\n\n\n \\(\\tan \\theta=1\\)\u3088\u308a\\(\\theta=45^\\circ\\)<\/p>\n\n\n\n \u3053\u306e\u3088\u3046\u306b\u30012\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u89d2\u306e\u5927\u304d\u3055\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u4f7f\u3063\u3066\u3044\u308b\u306e\u306f\u3001\\(\\tan \\theta\\)\u306e\u52a0\u6cd5\u5b9a\u7406\u3067\u3059\u3002<\/span><\/p>\n\n\n 2\u76f4\u7dda\u3092<\/p>\n\n\n\n \\(y=m_{1} x+n_{1}, \\quad y=m_{2} x+n_{2}\\)<\/p>\n\n\n\n \u3068\u3057\u3066\u3001\u305d\u308c\u3089\u3092\u539f\u70b9\u3092\u901a\u308b\u3088\u3046\u306b\u5e73\u884c\u79fb\u52d5\u3059\u308b\u3068<\/p>\n\n\n\n \\(y=m_{1} x, \\quad y=m_{2} x\\)<\/p>\n\n\n \u305d\u308c\u305e\u308c \\(x\\)\u8ef8\u306e\u6b63\u306e\u90e8\u5206\u3068\u306a\u3059\u89d2\u3092\\(\u03b1 , \u03b2\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n \\(tan \u03b1=m_{1},\\quad tan \u03b2=m_{2}\\)<\/p>\n\n\n\n \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u3053\u3053\u30672\u76f4\u7dda\u304c\u306a\u3059\u89d2\u306f<\/p>\n\n\n\n \\(\\theta=\u03b1-\u03b2\\)<\/p>\n\n\n\n \u3068\u306a\u308b\u306e\u3067<\/p>\n\n\n\n \\(\\displaystyle \\tan \\theta=|\\tan(\u03b1-\u03b2)|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{\\tan \u03b1-\\tan \u03b2}{1+\\tan \u03b1 \\tan \u03b2}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{m_{1}-m_{2}}{1+m_{1}m_{2}}|\\)<\/p>\n\n\n\n \u89e3\u8aac<\/span><\/p>\n\n\n\n \\(\\displaystyle m_{1}=-\\frac{\\sqrt{3}}{5}, \\quad m_{2}=\\frac{\\sqrt{3}}{2}\\)<\/p>\n\n\n\n \\(\\displaystyle \\tan \\theta=|\\frac{m_{1}-m_{2}}{1+m_{1} m_{2}}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{-\\frac{\\sqrt{3}}{5}-\\frac{\\sqrt{3}}{2}}{1+(-\\frac{\\sqrt{3}}{5}) \\times \\frac{\\sqrt{3}}{2}}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{-\\frac{\\sqrt{3}}{5}-\\frac{\\sqrt{3}}{2}}{1-\\frac{3}{10}}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{-\\frac{2\\sqrt{3}}{10}-\\frac{5\\sqrt{3}}{10}}{1-\\frac{3}{10}}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{-2\\sqrt{3}-5\\sqrt{3}}{10-3}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|\\frac{-7\\sqrt{3}}{7}|\\)<\/p>\n\n\n\n \\(\\displaystyle =|-\\sqrt{3}|\\)<\/p>\n\n\n\n \\(\\tan \\theta=\\sqrt{3}\\)\u3088\u308a\\(\\theta=60^\\circ\\)<\/p>\n\n\n\n \u3057\u305f\u304c\u3063\u3066\u30012\u76f4\u7dda<\/p>\n\n\n\n \\(\\displaystyle y=-\\frac{\\sqrt{3}}{5} x+2, \\quad y=\\frac{\\sqrt{3}}{2} x+1\\)<\/p>\n\n\n\n \u304c\u306a\u3059\u89d2\u306e\u5927\u304d\u3055\u306f\\(60^\\circ\\)<\/p>\n\n\n\n \u4eca\u56de\u306f\u6570\u5b66\u2161\u306e\u4e09\u89d2\u95a2\u6570\u304b\u30892\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u4ed6\u306b\u3082\u3001\u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u3066\u3069\u3093\u3069\u3093\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u304a\u6c17\u306b\u5165\u308a\u767b\u9332\u3057\u3066\u304a\u3044\u3066\u3082\u3089\u3048\u308b\u3068\u3001\u5b9a\u671f\u8a66\u9a13\u524d\u3084\u5165\u8a66\u52c9\u5f37\u3092\u3059\u308b\u3068\u304d\u306b\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u3067\u306f\u3001\u3053\u3053\u307e\u3067\u8aad\u3093\u3067\u304f\u3060\u3055\u3063\u3066\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":" \u300c\uff12\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\uff1f\u300d \u4eca\u56de\u306f\u3053\u3093\u306a\u751f\u5f92\u3055\u3093\u306b\u5411\u3051\u3066\u8a18\u4e8b\u3092\u66f8\u3044\u3066\u3044\u304d\u307e\u3059\u3002 \uff12\u3064\u306e\u76f4\u7dda\u3092\u5f15\u304f\u3068\u30012\u76f4\u7dda\u306e\u9593\u306b\u89d2\u304c\u3046\u307e\u308c\u307e\u3059\u3088\u306d\u3002 \u305d\u306e\u89d2\u306e\u5927\u304d\u3055\u3092\u50be\u304d\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u516c\u5f0f\u304c\u3042\u308b\u3093\u3067\u3059\u3002 \u4eca\u56de\u306f2\u76f4\u7dda\u306e\u306a\u3059 […]<\/p>\n","protected":false},"author":1,"featured_media":2461,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[35,224],"tags":[36,14,11],"class_list":["post-2455","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sincos","category-math-2","tag-36","tag-b","tag-11"],"yoast_head":"\n
\u30b7\u30fc\u30bf<\/span><\/div>
\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
\\(y=(2\u2212\\sqrt{3})x\u22121\\)<\/p>\n\n\n\n2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u8a3c\u660e<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
2\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u3092\u8a3c\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\uff1c\u7df4\u7fd2\u554f\u984c\uff1e<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
\u3067\u306f\u30012\u76f4\u7dda\u306e\u306a\u3059\u89d2\u3068\u50be\u304d\u306e\u95a2\u4fc2\u3092\u7528\u3044\u305f\u7df4\u7fd2\u554f\u984c\u3092\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n
\\(\\displaystyle y=-\\frac{\\sqrt{3}}{5} x+2, \\quad y=\\frac{\\sqrt{3}}{2} x+1\\)<\/div>\n\n\n\n\u304a\u308f\u308a\u306b<\/h2>\n\n\n\n