{"id":177,"date":"2015-05-11T17:38:12","date_gmt":"2015-05-11T17:38:12","guid":{"rendered":"http:\/\/phd-kawamura.jp\/wordpress\/?p=177"},"modified":"2015-05-11T17:38:12","modified_gmt":"2015-05-11T17:38:12","slug":"cit-qa150507-2","status":"publish","type":"post","link":"http:\/\/phd-kawamura.jp\/wordpress\/cit-qa150507-2\/","title":{"rendered":"\u6559\u990a\u306e\u7269\u7406\uff5e5\/7\u5206\u306e\u30a2\u30f3\u30b1\u30fc\u30c8\u306b\u95a2\u3057\u3066 \u305d\u306e2"},"content":{"rendered":"

\u30fb\u516c\u5f0f\u306e\u8a3c\u660e\u306b\u3064\u3044\u3066
\n
\n\u57fa\u672c\u7684\u306a\u5b9a\u7fa9\u3084\u6cd5\u5247\u306e\u5c0e\u51fa\u306f\u7406\u5b66\u30fb\u5de5\u5b66\u306b\u95a2\u4fc2\u306a\u304f\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3068\u601d\u3044\u307e\u3059\u3002
\n<\/font><\/p>\n

\u30fb\u3082\u3063\u3068\u516c\u5f0f\u3060\u3051\u3067\u306a\u304f\u554f\u984c\u3082\u3084\u308a\u305f\u3044\u3067\u3059\u3002
\n
\n\u5404\u81ea\u3067\u554f\u984c\u96c6\u3092\u89e3\u3044\u3066\u307f\u3066\u4e0b\u3055\u3044\u3002
\n\u30ec\u30dd\u30fc\u30c8\u3068\u3057\u3066\u6301\u3063\u3066\u6765\u308c\u3070\u63a1\u70b9\u3057\u3066\u8fd4\u5374\u3057\u307e\u3059\u3002
\n<\/font><\/p>\n

\u30fb$mv\\frac{\\mathrm{d} v}{\\mathrm{d} t}=\\frac{\\mathrm{d}}{\\mathrm{d} t }\\Bigl( \\frac{1}{2}mv^2 \\Bigr)$\u306e\u5909\u5f62\u306b\u3064\u3044\u3066
\n
\n$mv\\frac{\\mathrm{d} v}{\\mathrm{d} t}=\\frac{\\mathrm{d}}{\\mathrm{d} t }\\Bigl( \\frac{1}{2}mv^2 \\Bigr)$\u306e\u5909\u5f62\u304c\u89e3\u3089\u306a\u3044\u4eba\u304c\u591a\u3044\u69d8\u3067\u3059\u3002
\n\u304a\u305d\u3089\u304f\u3001\u3042\u307e\u308a\u6163\u308c\u306a\u3044\u5f0f\u5909\u5f62\u3060\u304b\u3089\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n

\u305d\u3082\u305d\u3082\u3001\u5fae\u5206\u3068\u7a4d\u5206\u306f\u4e92\u3044\u306b\u9006\u6f14\u7b97\u306a\u95a2\u4fc2\u3067\u3059\u3002<\/p>\n

\u3042\u308b\u95a2\u6570\u3092\u7a4d\u5206\u3057\u3066\u3001\u305d\u306e\u7a4d\u5206\u3057\u305f\u3082\u306e\u3092\u3055\u3089\u306b\u5fae\u5206\u3057\u3066\u5143\u306e\u5f62\u306b\u623b\u308c\u3070
\n\u300c\u305d\u306e\u7a4d\u5206\u306f\u6b63\u3057\u3044\u3082\u306e\u3067\u3042\u3063\u305f\u300d\u3068\u8a00\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u7a4d\u5206\u3057\u305f\u3082\u306e\u3092\u5fae\u5206\u3057\u3066\u5143\u306b\u5f62\u306b\u623b\u3089\u306a\u3044\u5834\u5408\u306f
\n\u5143\u306e\u5f62\u306b\u623b\u308b\u3088\u3046\u306b\u8abf\u6574\u3092\u3057\u3066\u3042\u3052\u308b\u5fc5\u8981\u304c\u51fa\u3066\u304d\u307e\u3059\u3002
\n\u6240\u8b02\u3001\u300c\u3064\u3058\u3064\u307e\u5408\u308f\u305b\u300d\u3067\u3059\u3002<\/p>\n

\u7c21\u5358\u306a\u4f8b\u3067\u8a00\u3046\u3068\u3001<\/p>\n

$x^2$\u3092$x$\u3067\u7a4d\u5206\u3059\u308b\u3068\u304d\u3001$x^2$\u304c\u3042\u308b\u306e\u3067\u7a4d\u5206\u3057\u305f\u3089$x^3$\u304c\u3042\u308b\u306f\u305a\u3067\u3059\u3002
\n\u3057\u304b\u3057\u3001\u3053\u306e\u307e\u307e\u3067\u306f$x^3$\u3092\u5fae\u5206\u3057\u305f\u6642\u306b\u4fc2\u6570\u3068\u3057\u3066$3$\u304c\u51fa\u3066\u304d\u3066\u3057\u307e\u3044\u307e\u3059\u3002
\n\u305d\u3053\u3067$x^3$\u3092$\\frac{1}{3}$\u3057\u3066\u304a\u3051\u3070\u3064\u3058\u3064\u307e\u304c\u5408\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u3088\u3063\u3066\u3001<\/p>\n

\\begin{eqnarray*}
\nx^2 = \\frac{\\mathrm{d}}{\\mathrm{d} x} \\Bigl( \\frac{1}{3}x^3 \\Bigr)
\n\\end{eqnarray*}<\/p>\n

\u3068\u306a\u308a\u307e\u3059\u3002
\n\u540c\u69d8\u306e\u8003\u3048\u65b9\u3067\u4eca\u56de\u306e\u5f0f\u5909\u5f62\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n

$v\\frac{\\mathrm{d}v}{\\mathrm{d}t}$\u3067\u3001$v$\u304c$1$\u4e57\u306a\u306e\u3067\u3001\u7a4d\u5206\u306f$v^2$\u3068\u60f3\u50cf\u3067\u304d\u307e\u3059\u3002
\n\u8a66\u3057\u306b\u3001<\/p>\n

\\begin{eqnarray*}
\n\\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( v^2 \\Bigr)
\n\\end{eqnarray*}<\/p>\n

\u3092\u3084\u3063\u3066\u307f\u308b\u3068
\n\\begin{eqnarray*}
\n\\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( v^2 \\Bigr)=2v \\cdot v’ =2v \\frac{\\mathrm{d}v}{\\mathrm{d}t}
\n\\end{eqnarray*}<\/p>\n

\u3068\u306a\u308a\u307e\u3059\u3002
\n\u3053\u306e$2v \\frac{\\mathrm{d}v}{\\mathrm{d}t}$\u3068\u5143\u306e\u5f0f\u3092\u898b\u6bd4\u3079\u308b\u3068$2$\u304c\u4f59\u8a08\u306b\u3064\u3044\u3066\u3057\u307e\u3063\u3066\u3044\u307e\u3059\u3002
\n\u305d\u3053\u3067\u3001\u7a4d\u5206\u3057\u305f\u5f62\u306b$\\frac{1}{2}$\u3092\u3057\u3066\u304a\u3051\u3070\u3064\u3058\u3064\u307e\u304c\u5408\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u3088\u3063\u3066<\/p>\n

\\begin{eqnarray*}
\nv \\frac{\\mathrm{d}v}{\\mathrm{d}t} = \\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( \\frac{1}{2}v^2 \\Bigr)
\n\\end{eqnarray*}<\/p>\n

\u3068\u306a\u308a\u307e\u3059\u3002
\n\u3053\u308c\u306b$m$\u306e\u5b9a\u6570\u304c\u304b\u3051\u3066\u3042\u308b\u306e\u3067<\/p>\n

\\begin{eqnarray*}
\nm v \\frac{\\mathrm{d}v}{\\mathrm{d}t} = \\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( \\frac{1}{2}m v^2 \\Bigr)
\n\\end{eqnarray*}<\/p>\n

\u3068\u306a\u308b\u308f\u3051\u3067\u3059\u3002<\/p>\n

\u3060\u304b\u3089\u3001\u300c\u306a\u3093\u3067$\\frac{1}{2}$\u304c\u3067\u3066\u304f\u308b\u306e\uff1f\u300d\u3068\u3044\u3046\u8cea\u554f\u306b\u5bfe\u3059\u308b\u7b54\u3048\u306f<\/p>\n

\u300c$2$\u4e57\u3092\u5fae\u5206\u3057\u305f\u6642\u306b\u51fa\u308b$2$\u3092\u6d88\u3059\u305f\u3081\u306e\u3064\u3058\u3064\u307e\u5408\u308f\u305b\u300d\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u30d0\u30cd\u306e\u4ed5\u4e8b
\n\\begin{eqnarray*}
\nk x \\frac{\\mathrm{d}x}{\\mathrm{d}t} = \\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( \\frac{1}{2}k x^2 \\Bigr)
\n\\end{eqnarray*}
\n\u3082\u540c\u69d8\u306e\u8003\u3048\u65b9\u3067\u5f0f\u5909\u5f62\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

<\/font><\/p>\n","protected":false},"excerpt":{"rendered":"

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