{"id":1978,"date":"2025-12-24T17:22:07","date_gmt":"2025-12-24T08:22:07","guid":{"rendered":"https:\/\/math-travel.com\/?p=1978"},"modified":"2026-03-01T15:36:14","modified_gmt":"2026-03-01T06:36:14","slug":"a-tangent-line","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/","title":{"rendered":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067"},"content":{"rendered":"\n

\u300c\u63a5\u7dda\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u306e\uff1f\u300d<\/span>
\u300c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u305f\u3044\u300d<\/span>
\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n

\"\"\u9ad8\u6821\u751f<\/span><\/div>
\n

\u63a5\u7dda\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u3093\u3067\u3057\u305f\u3063\u3051\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u3055\u3063\u305d\u304f\u3067\u3059\u304c\u3001\u3053\u3093\u306a\u554f\u984c\u898b\u305f\u3053\u3068\u3042\u308a\u307e\u305b\u3093\u304b\uff1f<\/p>\n\n\n\n

\u7df4\u7fd2\u554f\u984c\u2780<\/span><\/div>
\n

\u6b21\u306e\u95a2\u6570\u306e\u70b9(0,3)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n

\\[y=x^{2}+2x+3\\]<\/p>\n<\/div><\/div>\n\n\n\n

\u3053\u3093\u306a\u554f\u984c\u3068\u304b<\/p>\n\n\n\n

\u7df4\u7fd2\u554f\u984c\u2461<\/span><\/div>
\n

\u6b21\u306e\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u3001\u70b9(0,0)\u304b\u3089\u5f15\u3044\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n

\\[y=x^2+3x+4\\]<\/p>\n<\/div><\/div>\n\n\n\n

\u3053\u3093\u306a\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

\u300c\u96e3\u3057\u305d\u3046\u300d\u3068\u601d\u3063\u305f\u65b9\u304c\u591a\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u3057\u304b\u3057\u3001\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u306f\u3084\u308a\u65b9\u3092\u899a\u3048\u305f\u3089\u5927\u3057\u305f\u3053\u3068\u306a\u3044\u3067\u3059\u3002<\/span><\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

\u3053\u306e\u8a18\u4e8b\u3092\u53c2\u8003\u306b\u3057\u3066\u3001\u63a5\u7dda\u3092\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u63a5\u7dda\u306f\uff11\u6b21\u95a2\u6570<\/h2>\n\n\n\n

\u4e2d\u5b66\u6821\u306e\u5fa9\u7fd2\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u76f4\u7dda\u306f\uff11\u6b21\u95a2\u6570\u3067\u3057\u305f\u306d\u3002<\/p>\n\n\n

\n
\"\u63a5\u7dda\u306f\uff11\u6b21\u95a2\u6570\"<\/figure>\n<\/div>\n\n\n

\u3053\u3093\u306a\u5f0f\u3092\u899a\u3048\u3066\u3044\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n

\\(a\\)\u304c\u50be\u304d\uff08\u5909\u5316\u306e\u5272\u5408\uff09\u3067\u3001\\(b\\)\u304c\u5207\u7247\u3067\u3057\u305f\u3002<\/span><\/p>\n\n\n\n

\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c\u6c42\u3081\u3089\u308c\u308b\u6761\u4ef6\u3068\u3057\u3066\u3001<\/p>\n\n\n\n

    \n
  • \u901a\u308b\u70b9\u306e\u5ea7\u6a19\u304c\uff12\u3064\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/li>\n\n\n\n
  • \u901a\u308b\u70b9\u306e\u5ea7\u6a19\uff11\u3064\u3068\u50be\u304d\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/li>\n\n\n\n
  • \u901a\u308b\u70b9\u306e\u5ea7\u6a19\uff11\u3064\u3068\u5207\u7247\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/li>\n<\/ul>\n\n\n\n

    \u3053\u306e\uff13\u3064\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

    \u3069\u3046\u3067\u3057\u3087\u3046\u3001\u899a\u3048\u3066\u3044\u307e\u3057\u305f\u304b\uff1f<\/p>\n\n\n\n

    2\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u7dda\u306f\uff12\u3064\u76ee\u306e\u6761\u4ef6<\/p>\n\n\n\n

    \u300c\u901a\u308b\u70b9\u306e\u5ea7\u6a19\uff11\u3064\u3068\u50be\u304d\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u300d<\/span><\/p>\n\n\n\n

    \u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u307b\u3068\u3093\u3069\u3067\u3059\u3002<\/p>\n\n\n\n

    \u3084\u308b\u3079\u304d\u306f\u5927\u304d\u304f\u5206\u3051\u3066\uff12\u30b9\u30c6\u30c3\u30d7\uff01<\/span><\/p>\n\n\n\n

    \uff11\uff0e\u63a5\u7dda\u306e\u50be\u304d\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n\n

    \uff12\uff0e\u901a\u308b\u70b9\u3092\u4ee3\u5165\u3057\u3066\u5b8c\u6210\uff01<\/span><\/p>\n\n\n\n

    \u307e\u305a\u306f\u50be\u304d\u306e\u6c42\u3081\u65b9\u3092\u4f1d\u6388\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

    \u63a5\u7dda\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n
    \"\u63a5\u7dda\u3092\u6c42\u3081\u308b2\u3064\u306e\u30b9\u30c6\u30c3\u30d7\uff08\u50be\u304d\u3092\u6c42\u3081\u308b\u30fb\u5ea7\u6a19\u3092\u4ee3\u5165\u3059\u308b\uff09\u3092\u8aac\u660e\u3057\u305f\u624b\u9806\u56f3\"<\/figure>\n\n\n\n\n

    \u63a5\u7dda\u306f2\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n

    \"\"\u30b7\u30fc\u30bf<\/span><\/div>
    \n

    \u3084\u308b\u3053\u3068\u306f\u305f\u3063\u305f\u3053\u308c\u3060\u3051\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

    STEP1\uff1a\u63a5\u7dda\u306e\u50be\u304d\u3092\u6c42\u3081\u308b<\/strong><\/p>\n\n\n\n

    \u307e\u305a\u306f\u63a5\u7dda\u306e\u50be\u304d\u304b\u3089\u6c42\u3081\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

    \u63a5\u7dda\u306e\u50be\u304d\u306f\u3001\u5fae\u5206\u3057\u3066\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\u4ee3\u5165\u3059\u308b\u3068\u51fa\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

    \u4f8b\u3048\u3070\u3001<\/p>\n\n\n\n

    \\(y=x^2+2x+3\\)\u306e\u30b0\u30e9\u30d5\u4e0a\u3067(0,3)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n

    \u3053\u306e\u5834\u5408\u3001\u307e\u305a\\(y=x^2+2x+3\\)\u3092\\(f(x)\\)\u3068\u3067\u3082\u7f6e\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

    \\[f(x)=x^2+2x+3\\]<\/p>\n\n\n\n

    \u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u5fae\u5206\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \\[f^{\\prime}(x)=2x+2\\]<\/p>\n\n\n\n

    \u6b21\u306b\u5fae\u5206\u3057\u305f\u5f0f\u306b\u3001\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \u63a5\u70b9\u304c(0,3)\u3060\u3063\u305f\u306e\u3067\u3001\\(x=0\\)\u3092\u4ee3\u5165<\/p>\n\n\n\n

    \\[f^{\\prime}(0)=2\\times{0}+2=2\\]<\/p>\n\n\n\n

    \u3064\u307e\u308a\u50be\u304d\u306f\uff12\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

    \u3053\u308c\u3067\u63a5\u7dda\u306e\u50be\u304d\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n

    STEP2\uff1a\u901a\u308b\u70b9\u3092\u4ee3\u5165<\/strong><\/p>\n\n\n\n

    \u63a5\u7dda\u306e\u50be\u304d\u306e\u51fa\u3057\u65b9\u306f\u5206\u304b\u3063\u305f\u306e\u3067\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

    \u63a5\u70b9\u306e\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u3066\u5f15\u304f\u3060\u3051\u3067\u3059\u3002<\/span><\/p>\n\n\n\n

    \u516c\u5f0f\u3068\u3057\u3066\u306f\u3053\u3046\uff01<\/p>\n\n\n\n

    \u5fae\u5206\u53ef\u80fd\u306a\u95a2\u6570\\(y=f(x)\\)\u4e0a\u306e\u70b9\\(A(a, f(a))\\)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f,\\(y-f(a)=f^{\\prime}(a)(x-a)\\)<\/span><\/p>\n\n\n

    \n
    \"\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u70b9\u304c\u5206\u304b\u308b\u63a5\u7dda\"<\/figure>\n<\/div>\n\n\n

    \\(y=x^2+2x+3\\)\u306e\u30b0\u30e9\u30d5\u4e0a\u3067(0,3)\u306e\u63a5\u7dda\u3092\u8003\u3048\u3066\u3044\u308b\u306e\u3067\u3001<\/p>\n\n\n\n

    \\[y-3=f^{\\prime}(0)(x-0)\\]<\/p>\n\n\n\n

    \u3053\u308c\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001<\/p>\n\n\n\n

    \\[y=2x+3\\]<\/p>\n\n\n\n

    \u3053\u308c\u3067\u63a5\u7dda\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

    \u63a5\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u5834\u5408<\/h2>\n\n\n\n

    \u5192\u982d\u306b\u767b\u5834\u3057\u305f\u3053\u306e\u554f\u984c\u3067\u3082\u7df4\u7fd2\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

    \u7df4\u7fd2\u554f\u984c<\/span><\/div>
    \n

    \u6b21\u306e\u95a2\u6570\u306e\u70b9(0,3)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n

    \\[y=x^{2}+2x+3\\]<\/p>\n<\/div><\/div>\n\n\n\n

    \u307e\u305a\u306f\u63a5\u7dda\u306e\u50be\u304d\u3092\u51fa\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \\(f(x)=x^2+2x+3\u3000A(0,3)\\)<\/p>\n\n\n\n

    \\(f^{\\prime}(x)=2x+2\\)<\/p>\n\n\n\n

    \u5fae\u5206\u3057\u305f\u5f0f\u306b\u3001\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    \u63a5\u70b9\u304c(0,3)\u3060\u3063\u305f\u306e\u3067\u3001\\(x=0\\)\u3092\u4ee3\u5165<\/p>\n\n\n\n

    \\(f^{\\prime}(0)=2\\times{0}+2=2\\)<\/p>\n\n\n\n

    \u50be\u304d\u304c\uff12\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

    \u50be\u304d\u306f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u3053\u3053\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n

    \n
    \"\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u70b9\u304c\u5206\u304b\u308b\u63a5\u7dda\"<\/figure>\n<\/div>\n\n\n

    \u6b21\u306b\u63a5\u7dda\u306e\u5ea7\u6a19(0,3)\u3092\u4ee3\u5165\u3059\u308b\u306e\u3067\u3059\u304c\u3001\u3053\u3053\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n

    \n
    \"\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u70b9\u304c\u5206\u304b\u308b\u63a5\u7dda\"<\/figure>\n<\/div>\n\n\n

    \u3064\u307e\u308a\u3001<\/p>\n\n\n\n

    \\(y-3=2(x-0)\\)<\/p>\n\n\n\n

    \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

    \u3053\u308c\u3092\u5f0f\u5909\u5f62\u3057\u3066\u3001<\/p>\n\n\n\n

    \\(y=2x+3\\)<\/p>\n\n\n\n

    \u3053\u308c\u304c\\(y=x^2+2x+3\\)\u4e0a\u306e\u70b9\\(A(0,3)\\)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n

    \u901a\u308b\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u5834\u5408<\/h2>\n\n\n
    \"\u63a5\u70b9\u304c\u65e2\u77e5\u306e\u5834\u5408\u3068\u30b0\u30e9\u30d5\u5916\u306e\u70b9\u3092\u901a\u308b\u5834\u5408\u306e\u89e3\u6cd5\u306e\u9055\u3044\u3092\u793a\u3057\u305f\u6bd4\u8f03\u56f3\u89e3\"<\/figure>\n\n\n\n\n

    \u3082\u3046\uff11\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

    \u5206\u304b\u3063\u3066\u3044\u308b\u5ea7\u6a19\u304c\u30b0\u30e9\u30d5\u4e0a\u306e\u70b9\u3067\u306f\u306a\u304f\u3001\u63a5\u7dda\u304c\u901a\u308b\u70b9\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n\n

    \u7df4\u7fd2\u554f\u984c<\/span><\/div>
    \n

    \u6b21\u306e\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u3001\u70b9(0,0)\u304b\u3089\u5f15\u3044\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n

    \\[y=x^{2}+3x+4\\]<\/p>\n<\/div><\/div>\n\n\n\n

    \u3053\u308c\u3082\u307e\u305a\u50be\u304d\u3092\u6c42\u3081\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

    \\(f(x)=x^2+3x+4\\)<\/p>\n\n\n\n

    \\(f^{\\prime}(x)=2x+3\\)<\/p>\n\n\n\n

    \u63a5\u70b9\u306e\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u305f\u3044\u306e\u3067\u3059\u304c\u554f\u984c\u767a\u751f\uff01<\/span><\/p>\n\n\n\n

    \u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u70b9\u304c\u63a5\u70b9\u306e\u5ea7\u6a19\u3067\u306f\u306a\u3044\u306e\u3067\u3059\u3002<\/span><\/p>\n\n\n\n

    \u3072\u3068\u307e\u305a\u63a5\u70b9\u3092\\((a,a^2+3a+4)\\)\u3068\u3067\u3082\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n

    \\(f^{\\prime}(a)=2a+3\\)<\/p>\n\n\n\n

    \u70b9\\((a,a^2+3a+4)\\)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u50be\u304d\u304c\\(2a+3\\)\u3060\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

    \u63a5\u7dda\u306e\u516c\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001<\/p>\n\n\n\n

    \\[y-(a^2+3a+4)=(2a+3)(x-a)\\]<\/p>\n\n\n\n

    \u5206\u304b\u308a\u305a\u3089\u3044\u3051\u3069\u3001\u3053\u308c\u304c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

    \u3053\u308c\u304c(0,0)\u3092\u901a\u308c\u3070\u554f\u984c\u3068\u4e00\u81f4\u3059\u308b\u306e\u3067\u3001x,y\u306b\u305d\u308c\u305e\u308c\u4ee3\u5165\u3057\u3066\u3001<\/p>\n\n\n\n

    \\begin{eqnarray}
    -a^2-3a-4&=&-2a^2-3a\\\\
    a^2-4&=&0\\\\
    (a+2)(a-2)&=&0\\\\
    a&=&-2,2
    \\end{eqnarray}<\/p>\n\n\n

    \"\"\u9ad8\u6821\u751f<\/span><\/div>
    \n

    \u3042\u308c\u3001a\u306e\u89e3\u304c2\u3064\u51fa\u3066\u304d\u307e\u3057\u305f\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

    \u7591\u554f\u306b\u601d\u3063\u305f\u65b9\u306f\u52d8\u304c\u92ed\u3044\u3067\u3059\u306d\uff01<\/span><\/p>\n\n\n\n

    \u306a\u305c\u63a5\u70b9\u306e\\(x\\)\u5ea7\u6a19\u3092\u8868\u3059\\(a\\)\u304c\uff12\u3064\u51fa\u305f\u306e\u304b\u3068\u3044\u3046\u3068\u3001<\/p>\n\n\n\n

    \u30a4\u30e1\u30fc\u30b8\u3068\u3057\u3066\u306f\u3053\u3093\u306a\u611f\u3058\uff01<\/p>\n\n\n

    \n
    \"\u901a\u308b\u70b9\u304c\u5206\u304b\u308b\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u7dda\"<\/figure>\n<\/div>\n\n\n

    \u63a5\u7dda\u304c\u70b9(0,0)\u3092\u901a\u308b\u63a5\u70b9\u304c\uff12\u3064\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u306d\uff01<\/span><\/p>\n\n\n\n

    \u63a5\u7dda\u306e\u5f0f\u306b\\(a\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001<\/p>\n\n\n\n

    \\[y-(a^2+3a+4)=(2a+3)(x-a)\\]<\/p>\n\n\n\n

    \\(a=-2\\)\u306e\u3068\u304d<\/p>\n\n\n\n

    \\begin{eqnarray}
    y-2&=&-(x+2)\\\\
    y=-x
    \\end{eqnarray}<\/p>\n\n\n\n

    \\(a=2\\)\u306e\u3068\u304d<\/p>\n\n\n\n

    \\begin{eqnarray}
    y-14&=&7(x-2)\\\\
    y=7x
    \\end{eqnarray}<\/p>\n\n\n\n

    \u3057\u305f\u304c\u3063\u3066\u3001\\(y=x^2+3x+4\\)\u306e\u63a5\u7dda\u3067\u3001\u70b9\\((0,0)\\)\u3068\u901a\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f<\/p>\n\n\n\n

    \\[y=-x\\]
    \\[y=7x\\]<\/p>\n\n\n\n

    2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u3000\u307e\u3068\u3081<\/h2>\n\n\n
    \"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u516c\u5f0f\u3068\u89e3\u6cd5\u30d1\u30bf\u30fc\u30f3\u3092\u307e\u3068\u3081\u305f\u8981\u7d04\u56f3\u89e3\"<\/figure>\n\n\n\n\n

    \u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n

    \n
    \"\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u63a5\u70b9\u304c\u5206\u304b\u308b\u63a5\u7dda\"<\/figure>\n<\/div>\n\n\n

    \u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u89e3\u8aac\u3057\u307e\u3057\u305f\u304c\u30013\u6b21\u95a2\u6570\u3067\u3082\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n\n\n\n

    \u30b7\u30f3\u30d7\u30eb\u306a\u8a08\u7b97\u3067\u3059\u304c\u3001\u3068\u3066\u3082\u91cd\u8981\u306a\u516c\u5f0f\u306a\u306e\u3067\u5fc5\u305a\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u300c\u63a5\u7dda\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u306e\uff1f\u300d\u300c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u305f\u3044\u300d\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u3055\u3063\u305d\u304f\u3067\u3059\u304c\u3001\u3053\u3093\u306a\u554f\u984c\u898b\u305f\u3053\u3068\u3042\u308a\u307e\u305b\u3093\u304b\uff1f \u3053\u3093\u306a\u554f\u984c\u3068\u304b \u3053\u3093\u306a\u554f\u984c\u3067\u3059\u3002 \u300c\u96e3\u3057\u305d\u3046\u300d\u3068\u601d\u3063\u305f\u65b9\u304c\u591a\u3044\u3068 […]<\/p>\n","protected":false},"author":1,"featured_media":21584,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[97,224],"tags":[31,14,11],"class_list":["post-1978","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-differential","category-math-2","tag-31","tag-b","tag-11"],"yoast_head":"\n2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067\" \/>\n<meta property=\"og:description\" content=\"\u300c\u63a5\u7dda\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u306e\uff1f\u300d\u300c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u305f\u3044\u300d\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u3055\u3063\u305d\u304f\u3067\u3059\u304c\u3001\u3053\u3093\u306a\u554f\u984c\u898b\u305f\u3053\u3068\u3042\u308a\u307e\u305b\u3093\u304b\uff1f \u3053\u3093\u306a\u554f\u984c\u3068\u304b \u3053\u3093\u306a\u554f\u984c\u3067\u3059\u3002 \u300c\u96e3\u3057\u305d\u3046\u300d\u3068\u601d\u3063\u305f\u65b9\u304c\u591a\u3044\u3068 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-24T08:22:07+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-01T06:36:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/05\/2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"\u3086\u3046\u3084\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@https:\/\/twitter.com\/mathtora\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u3086\u3046\u3084\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"8\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\"},\"author\":{\"name\":\"\u3086\u3046\u3084\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"headline\":\"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067\",\"datePublished\":\"2025-12-24T08:22:07+00:00\",\"dateModified\":\"2026-03-01T06:36:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\"},\"wordCount\":173,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp\",\"keywords\":[\"\u5fae\u5206\u7a4d\u5206\",\"\u6570\u5b66\u2161B\",\"\u9ad8\u6821\u6570\u5b66\"],\"articleSection\":[\"\u5fae\u5206\u7a4d\u5206\",\"\u6570\u5b662\"],\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\",\"url\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\",\"name\":\"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp\",\"datePublished\":\"2025-12-24T08:22:07+00:00\",\"dateModified\":\"2026-03-01T06:36:14+00:00\",\"author\":{\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"breadcrumb\":{\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage\",\"url\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp\",\"contentUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp\",\"width\":1200,\"height\":670,\"caption\":\"2\u6b21\u95a2\u6570\u306e\u653e\u7269\u7dda\u3068\u63a5\u7dda\u3001\u304a\u3088\u3073\u8a18\u4e8b\u30bf\u30a4\u30c8\u30eb\u300c2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u300d\u304c\u30c7\u30b6\u30a4\u30f3\u3055\u308c\u305f\u30a2\u30a4\u30ad\u30e3\u30c3\u30c1\u753b\u50cf\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8\",\"item\":\"https:\/\/math-travel.jp\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u6570\u5b662\",\"item\":\"https:\/\/math-travel.jp\/math-2\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/math-travel.jp\/#website\",\"url\":\"https:\/\/math-travel.jp\/\",\"name\":\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"description\":\"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/math-travel.jp\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\",\"name\":\"\u3086\u3046\u3084\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"caption\":\"\u3086\u3046\u3084\"},\"description\":\"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002\",\"sameAs\":[\"https:\/\/www.instagram.com\/mathtora\/\",\"https:\/\/x.com\/https:\/\/twitter.com\/mathtora\",\"https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/","og_locale":"ja_JP","og_type":"article","og_title":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067","og_description":"\u300c\u63a5\u7dda\u3063\u3066\u3069\u3046\u3084\u3063\u3066\u6c42\u3081\u308b\u306e\uff1f\u300d\u300c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u305f\u3044\u300d\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u3055\u3063\u305d\u304f\u3067\u3059\u304c\u3001\u3053\u3093\u306a\u554f\u984c\u898b\u305f\u3053\u3068\u3042\u308a\u307e\u305b\u3093\u304b\uff1f \u3053\u3093\u306a\u554f\u984c\u3068\u304b \u3053\u3093\u306a\u554f\u984c\u3067\u3059\u3002 \u300c\u96e3\u3057\u305d\u3046\u300d\u3068\u601d\u3063\u305f\u65b9\u304c\u591a\u3044\u3068 […]","og_url":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/","og_site_name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","article_published_time":"2025-12-24T08:22:07+00:00","article_modified_time":"2026-03-01T06:36:14+00:00","og_image":[{"width":1200,"height":630,"url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/05\/2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01.png","type":"image\/png"}],"author":"\u3086\u3046\u3084","twitter_card":"summary_large_image","twitter_creator":"@https:\/\/twitter.com\/mathtora","twitter_misc":{"\u57f7\u7b46\u8005":"\u3086\u3046\u3084","\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593":"8\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#article","isPartOf":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/"},"author":{"name":"\u3086\u3046\u3084","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"headline":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067","datePublished":"2025-12-24T08:22:07+00:00","dateModified":"2026-03-01T06:36:14+00:00","mainEntityOfPage":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/"},"wordCount":173,"commentCount":0,"image":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp","keywords":["\u5fae\u5206\u7a4d\u5206","\u6570\u5b66\u2161B","\u9ad8\u6821\u6570\u5b66"],"articleSection":["\u5fae\u5206\u7a4d\u5206","\u6570\u5b662"],"inLanguage":"ja","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/","url":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/","name":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067","isPartOf":{"@id":"https:\/\/math-travel.jp\/#website"},"primaryImageOfPage":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage"},"image":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp","datePublished":"2025-12-24T08:22:07+00:00","dateModified":"2026-03-01T06:36:14+00:00","author":{"@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"breadcrumb":{"@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/math-travel.jp\/math-2\/a-tangent-line\/"]}]},{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#primaryimage","url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp","contentUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2026\/03\/a-tangent-line-eyecatch.webp","width":1200,"height":670,"caption":"2\u6b21\u95a2\u6570\u306e\u653e\u7269\u7dda\u3068\u63a5\u7dda\u3001\u304a\u3088\u3073\u8a18\u4e8b\u30bf\u30a4\u30c8\u30eb\u300c2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u300d\u304c\u30c7\u30b6\u30a4\u30f3\u3055\u308c\u305f\u30a2\u30a4\u30ad\u30e3\u30c3\u30c1\u753b\u50cf"},{"@type":"BreadcrumbList","@id":"https:\/\/math-travel.jp\/math-2\/a-tangent-line\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8","item":"https:\/\/math-travel.jp\/"},{"@type":"ListItem","position":2,"name":"\u6570\u5b662","item":"https:\/\/math-travel.jp\/math-2\/"},{"@type":"ListItem","position":3,"name":"2\u6b21\u95a2\u6570\u306e\u63a5\u7dda\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u5fae\u5206\u3092\u4f7f\u308f\u306a\u3044\u89e3\u304d\u65b9\u3084\u516c\u5f0f\u307e\u3067"}]},{"@type":"WebSite","@id":"https:\/\/math-travel.jp\/#website","url":"https:\/\/math-travel.jp\/","name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","description":"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/math-travel.jp\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395","name":"\u3086\u3046\u3084","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","caption":"\u3086\u3046\u3084"},"description":"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002","sameAs":["https:\/\/www.instagram.com\/mathtora\/","https:\/\/x.com\/https:\/\/twitter.com\/mathtora","https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ"]}]}},"_links":{"self":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/1978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/comments?post=1978"}],"version-history":[{"count":8,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/1978\/revisions"}],"predecessor-version":[{"id":21588,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/1978\/revisions\/21588"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media\/21584"}],"wp:attachment":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media?parent=1978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/categories?post=1978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/tags?post=1978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}