{"id":11656,"date":"2022-12-17T14:28:55","date_gmt":"2022-12-17T05:28:55","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11656"},"modified":"2022-12-23T07:29:33","modified_gmt":"2022-12-22T22:29:33","slug":"vector-2","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/vector-2.html","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\uff1a\u516c\u5f0f\u306e\u610f\u5473\u3001\u6210\u5206\u3092\u5229\u7528\u3057\u3066\u306e\u9577\u3055\u30fb\u9762\u7a4d\u306e\u8a08\u7b97"},"content":{"rendered":"\n<p>\u30d9\u30af\u30c8\u30eb\u3067\u91cd\u8981\u306a\u5185\u5bb9\u306b\u5185\u7a4d\u304c\u3042\u308a\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306b\u306f\u5411\u304d\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4f55\u3082\u64cd\u4f5c\u306a\u3057\u306b2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u304b\u3051\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u305f\u3060\u3001\u540c\u3058\u5411\u304d\u306b\u305d\u308d\u3048\u308b\u5834\u5408\u306f2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u304b\u3051\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308b\u305f\u3081\u306b\u306f\u3001\u89d2\u5ea6\u3092\u5229\u7528\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002cos\u03b8\u3092\u5229\u7528\u3057\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u540c\u3058\u306b\u3057\u305f\u5f8c\u306b\u304b\u3051\u307e\u3057\u3087\u3046\u3002\u3053\u3046\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u7279\u306b\u7269\u7406\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308b\u64cd\u4f5c\u306f\u3072\u3093\u3071\u3093\u306b\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u6570\u5b66\u3060\u3051\u3067\u306a\u304f\u3001\u307b\u304b\u306e\u5206\u91ce\u3067\u5229\u7528\u3055\u308c\u308b\u306e\u304c\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306e\u8003\u3048\u65b9\u3067\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u306a\u3044\u5834\u5408\u3001\u529b\u5b66\u306e\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u3001\u3069\u306e\u3088\u3046\u306b\u30d9\u30af\u30c8\u30eb\u306e\u304b\u3051\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u89d2\u5ea6\u3092\u8003\u616e\u3057\u305f\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055<\/h2>\n<p>\u5411\u304d\u304c\u5b58\u5728\u3057\u306a\u3044\u5834\u5408\u3001\u6570\u5b57\u540c\u58eb\u3092\u304b\u3051\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3067\u5411\u304d\u3092\u3082\u3064\u5834\u5408\u3001\u4f55\u3082\u8003\u3048\u305a\u306b\u304b\u3051\u7b97\u3092\u3057\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u304b\u3051\u7b97\u304c\u53ef\u80fd\u306a\u306e\u306f\u3001\u5411\u304d\u304c\u540c\u3058\uff08\u307e\u305f\u306f\u53cd\u5bfe\uff09\u3067\u3042\u308b\u3068\u304d\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u5411\u304d\u3092\u540c\u3058\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u3088\u3046\u306b\\(\\overrightarrow{a}\\)\u304c\u3042\u308b\u5834\u5408\u3001\\(x\\)\u6210\u5206\u3068\\(y\\)\u6210\u5206\u306e\u5927\u304d\u3055\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/odkw1.jpg\" alt=\"\" width=\"351\" height=\"280\" class=\"aligncenter size-full wp-image-11663\" \/><\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x\\)\u6210\u5206\uff1a\\(|\\overrightarrow{a}|cos60\u00b0=\\displaystyle\\frac{|\\overrightarrow{a}|}{2}\\)<\/li>\n<li>\\(y\\)\u6210\u5206\uff1a\\(|\\overrightarrow{a}|sin60\u00b0=\\displaystyle\\frac{\\sqrt{3}|\\overrightarrow{a}|}{2}\\)<\/li>\n<\/ul>\n<p>\\(|\\overrightarrow{a}|\\)\u306f\\(\\overrightarrow{a}\\)\u306e\u5927\u304d\u3055\uff08\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\uff09\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u89d2\u5ea6\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\\(x\\)\u6210\u5206\u3084\\(y\\)\u6210\u5206\u306e\u5927\u304d\u3055\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u5229\u7528\u3057\u3066\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u540c\u3058\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u5411\u304d\u304c\u7570\u306a\u308b\u5834\u5408\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u304b\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067<span style=\"color: #0000ff;\">\u5411\u304d\u3092\u540c\u3058\u306b\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u304b\u3051\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306e\u3067\u3059\u3002<\/span>\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u5834\u5408\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u304b\u3051\u7b97\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/odkw2.jpg\" alt=\"\" width=\"497\" height=\"192\" class=\"aligncenter size-full wp-image-11664\" \/><\/p>\n<p>\u3053\u308c\u304c\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3067\u3059\u3002\u300c\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u540c\u3058\u306b\u3057\u305f\u5f8c\u3001\u304b\u3051\u7b97\u3059\u308b\u3053\u3068\u3067\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u306b\u306a\u308b\u300d\u3068\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u3001\u3053\u306e\u516c\u5f0f\u3092\u899a\u3048\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u56f3\u5f62\u306b\u3088\u3063\u3066\u306fcos\u03b8\u3067\u306f\u306a\u304f\u3001sin\u03b8\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u540c\u3058\u306b\u3059\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u516c\u5f0f\u3092\u6697\u8a18\u3057\u3066\u3082\u610f\u5473\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u89d2\u5ea6\u3092\u5229\u7528\u3057\u3066\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u304b\u3051\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u516c\u5f0f\u306a\u3057\u306b\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u5229\u7528\u3057\u3001\u89d2\u5ea6\uff08\u306a\u3059\u89d2\uff09\u3092\u5f97\u308b<\/h3>\n<p>\u5148\u307b\u3069\u3001\u56f3\u5f62\u3092\u5229\u7528\u3057\u3066\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u5b9a\u7fa9\u3057\u307e\u3057\u305f\u3002\u89d2\u5ea6\u3092\u5229\u7528\u3057\u3066\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u304b\u3051\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3067\u306f\u3001\u3082\u3046\u4e00\u3064\u306e\u5b9a\u7fa9\u304c\u3042\u308a\u307e\u3059\u3002\\(\\overrightarrow{a}=(a_1,a_2)\\)\u3001\\(\\overrightarrow{b}=(b_1,b_2)\\)\u3068\u3059\u308b\u3068\u304d\u3001\u4ee3\u6570\u5b66\uff08\u6587\u5b57\u3092\u7528\u3044\u308b\u6570\u5b66\uff09\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=a_1b_1+a_2b_2\\)<\/li>\n<\/ul>\n<p>\u8a73\u7d30\u306f\u89e3\u8aac\u3057\u307e\u305b\u3093\u304c\u3001\u4f59\u5f26\u5b9a\u7406\u3068\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u3053\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002\u91cd\u8981\u306a\u306e\u306f\u3001<span style=\"color: #0000ff;\">2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u6210\u5206\u304c\u308f\u304b\u308c\u3070\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u306b\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>\u307e\u305f\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(cos\u03b8=\\displaystyle\\frac{\\overrightarrow{a}\u00b7\\overrightarrow{b}}{|\\overrightarrow{a}||\\overrightarrow{b}|}\\)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u6210\u5206\u304c\u308f\u304b\u308c\u3070\u306a\u3059\u89d2\u3092\u5f97\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\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>\\(\\overrightarrow{a}=(1,3)\\)\u3001\\(\\overrightarrow{b}=(2,1)\\)\u306e\u3068\u304d\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3068\u306a\u3059\u89d2\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=1\u00d72+3\u00d71=5\\)<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u305f\u305f\u3081\u3001\u6b21\u306b2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u306a\u304a\u3001\\(\\overrightarrow{a}\\)\u3068\\(\\overrightarrow{b}\\)\u306e\u9577\u3055\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(|\\overrightarrow{a}|=\\sqrt{1^2+3^2}=\\sqrt{10}\\)<\/li>\n<li>\\(|\\overrightarrow{b}|=\\sqrt{2^2+1^2}=\\sqrt{5}\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)<\/p>\n<p>\\(5=\\sqrt{10}\u00d7\\sqrt{5}\u00d7cos\u03b8\\)<\/p>\n<p>\\(cos\u03b8=\\displaystyle\\frac{1}{\\sqrt{2}}\\)<\/p>\n<p>\\(cos\u03b8=\\displaystyle\\frac{1}{\\sqrt{2}}\\)\u3068\u306a\u308b\u305f\u3081\u3001\\(\u03b8=45\u00b0\\)\u3067\u3059\u3002\u3053\u3046\u3057\u3066\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u306a\u3059\u89d2\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u5e73\u884c\u3068\u5782\u76f4\u3067\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d<\/h3>\n<p>\u6b21\u306b\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u306a\u3068\u304d\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u30022\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u3068\u3044\u3046\u306e\u306f\u3001\\(\u03b8=0\u00b0\\)\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\\(cos0\u00b0=1\\)\u3067\u3042\u308b\u305f\u3081\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u3060\u3068\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|\\)<\/li>\n<\/ul>\n<p>\u306a\u304a\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u53cd\u5bfe\u5411\u304d\u3067\u3042\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u5834\u5408\u30822\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306f\u5e73\u884c\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=-|\\overrightarrow{a}||\\overrightarrow{b}|\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5782\u76f4\u306e\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5782\u76f4\u3060\u3068\u3001\u30d9\u30af\u30c8\u30eb\u306e\u306a\u3059\u89d2\u306f90\u00b0\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/odkw3.jpg\" alt=\"\" width=\"247\" height=\"186\" class=\"aligncenter size-full wp-image-11665\" \/><\/p>\n<p>\\(cos90\u00b0=0\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001<span style=\"color: #ff0000;\">\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u306f\u5fc5\u305a0\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=0\\)<\/li>\n<\/ul>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3067\u89d2\u5ea6\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3092\u7406\u89e3\u3059\u308c\u3070\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5e73\u884c\u3084\u5782\u76f4\u306e\u3068\u304d\u3001\u306a\u305c\u4e0a\u8a18\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3064\u306e\u304b\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5185\u7a4d\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u305d\u308c\u3067\u306f\u3001\u5185\u7a4d\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u5185\u7a4d\u306e\u8a08\u7b97\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u4ea4\u63db\u6cd5\u5247\uff1a\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=\\overrightarrow{b}\u00b7\\overrightarrow{a}\\)<\/li>\n<li>\u5206\u914d\u6cd5\u5247\uff1a\\(\\overrightarrow{a}(\\overrightarrow{b}+\\overrightarrow{c})=\\overrightarrow{a}\u00b7\\overrightarrow{b}\\)\\(+\\overrightarrow{a}\u00b7\\overrightarrow{c}\\)<\/li>\n<li>\u5b9f\u6570\u500d\uff1a\\(k\\overrightarrow{a}(\\overrightarrow{b})=\\overrightarrow{a}(k\\overrightarrow{b})\\)\\(=k(\\overrightarrow{a}\u00b7\\overrightarrow{b})\\)<\/li>\n<\/ul>\n<p>\u3053\u308c\u3089\u306e\u5185\u5bb9\u306b\u3064\u3044\u3066\u306f\u3001\u554f\u984c\u306a\u304f\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u306a\u304a\u5185\u7a4d\u306e\u8a08\u7b97\u3067\u91cd\u8981\u306a\u306e\u306f\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{a}\u00b7\\overrightarrow{a}=|\\overrightarrow{a}|^2\\)<\/li>\n<\/ul>\n<p>\u6570\u5b66\u3067\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u3053\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306f\u591a\u3044\u3067\u3059\u3002\\(\\overrightarrow{a}\\)\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u5f53\u7136\u306a\u304c\u3089\u5e73\u884c\u3067\u3059\u3002\\(cos0\u00b0=1\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(\\overrightarrow{a}\u00b7\\overrightarrow{a}=|\\overrightarrow{a}||\\overrightarrow{a}|\\)\u3068\u306a\u308a\u3001\u5148\u307b\u3069\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u53c2\u8003\u307e\u3067\u306b\u3001\\(\\overrightarrow{a}\u22670\\)\u3067\u3042\u308b\u305f\u3081\\(|\\overrightarrow{a}|=\\sqrt{\\overrightarrow{a}\u00b7\\overrightarrow{a}}\\)\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u3053\u3053\u307e\u3067\u306e\u77e5\u8b58\u3092\u3082\u3068\u306b\u3057\u3066\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u304d\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>\\(|\\overrightarrow{a}|=2\\)\u3001\\(|\\overrightarrow{b}|=1\\)\u3067\u3042\u308a\u3001\\(\\overrightarrow{a}-\\overrightarrow{b}\\)\u3068\\(2\\overrightarrow{a}+5\\overrightarrow{b}\\)\u304c\u5782\u76f4\u306e\u3068\u304d\u3001\\(\\overrightarrow{a}\\)\u3068\\(\\overrightarrow{b}\\)\u306b\u3088\u308b\u306a\u3059\u89d2\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(\\overrightarrow{a}-\\overrightarrow{b}\\)\u3068\\(2\\overrightarrow{a}+5\\overrightarrow{b}\\)\u304c\u5782\u76f4\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((\\overrightarrow{a}-\\overrightarrow{b})(2\\overrightarrow{a}+5\\overrightarrow{b})=0\\)<\/p>\n<p>\\(2|\\overrightarrow{a}|^2+3\\overrightarrow{a}\u00b7\\overrightarrow{b}-5|\\overrightarrow{b}|^2=0\\)<\/p>\n<p>\\(8+3\\overrightarrow{a}\u00b7\\overrightarrow{b}-5=0\\)<\/p>\n<p>\\(3\\overrightarrow{a}\u00b7\\overrightarrow{b}=-3\\)<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=-1\\)<\/p>\n<p>\u6b21\u306b\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u516c\u5f0f\u3092\u5229\u7528\u3057\u30662\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u306a\u3059\u89d2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)<\/p>\n<p>\\(-1=2\u00d71\u00d7cos\u03b8\\)<\/p>\n<p>\\(cos\u03b8=-\\displaystyle\\frac{1}{2}\\)<\/p>\n<p>\\(cos\u03b8=-\\displaystyle\\frac{1}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(\u03b8=120\u00b0\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u306a\u3059\u89d2\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u5185\u7a4d\u3092\u5229\u7528\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u3068\u6700\u5c0f\u5024\u306e\u8a08\u7b97<\/h3>\n<p>\u6570\u5b66\u306e\u8a08\u7b97\u3067\u306f\u3001\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u554f\u984c\u304c\u3072\u3093\u3071\u3093\u306b\u51fa\u984c\u3055\u308c\u307e\u3059\u3002\u305d\u3053\u3067\u30d9\u30af\u30c8\u30eb\u304c\u95a2\u308f\u308b\u8a08\u7b97\u306b\u3064\u3044\u3066\u3082\u3001\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\uff08\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\uff09\u306b\u95a2\u3059\u308b\u8a08\u7b97\u554f\u984c\u3067\u306f\u3001\u4e8c\u4e57\u3059\u308b\u3053\u3068\u3067\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/span>\u4e8c\u4e57\u306b\u3088\u3063\u3066\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u308a\u3001\u4e8c\u6b21\u95a2\u6570\u3092\u4f5c\u308c\u305f\u308a\u3059\u308b\u306e\u3067\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>\\(|\\overrightarrow{a}|=2\\)\u3001\\(|\\overrightarrow{b}|=3\\)\u3001\\(|\\overrightarrow{a}+\\overrightarrow{b}|=1\\)\u306e\u3068\u304d\u3001\\(|\\overrightarrow{a}+t\\overrightarrow{b}|\\)\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\\(\\overrightarrow{a}\\)\u3068\\(\\overrightarrow{b}\\)\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u524d\u8ff0\u306e\u901a\u308a\u3001\u4e8c\u4e57\u3059\u308b\u3053\u3068\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\\(|\\overrightarrow{a}+\\overrightarrow{b}|=1\\)\u3092\u4e8c\u4e57\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}\\)\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\\(|\\overrightarrow{a}+\\overrightarrow{b}|^2=1^2\\)<\/p>\n<p>\\(|\\overrightarrow{a}|^2+2\\overrightarrow{a}\u00b7\\overrightarrow{b}+|\\overrightarrow{b}|^2=1\\)<\/p>\n<p>\\(4+2\\overrightarrow{a}\u00b7\\overrightarrow{b}+9=1\\)<\/p>\n<p>\\(2\\overrightarrow{a}\u00b7\\overrightarrow{b}=-12\\)<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=-6\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u306f\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=-6\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>\u6b21\u306b\u3001\\(|\\overrightarrow{a}+t\\overrightarrow{b}|\\)\u3092\u4e8c\u4e57\u3057\u307e\u3057\u3087\u3046\u3002\u4e8c\u4e57\u3057\u3066\u6700\u5c0f\u5024\u306b\u306a\u308b\u5024\u3092\u898b\u3064\u3051\u308c\u3070\u3001\u4e8c\u4e57\u3057\u306a\u3044\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u6700\u5c0f\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(|\\overrightarrow{a}+t\\overrightarrow{b}|^2\\)<\/p>\n<p>\\(=|\\overrightarrow{a}|^2+2t\\overrightarrow{a}\u00b7\\overrightarrow{b}+t^2|\\overrightarrow{b}|^2\\)<\/p>\n<p>\\(=4+2t\u00d7(-6)+t^2\u00d79\\)<\/p>\n<p>\\(=9t^2-12t+4\\)<\/p>\n<p>\\(=9\\left(t^2-\\displaystyle\\frac{4}{3}t\\right)+4\\)<\/p>\n<p>\\(=9\\left(t-\\displaystyle\\frac{2}{3}\\right)^2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(t=\\displaystyle\\frac{2}{3}\\)\u306e\u3068\u304d\u3001\\(|\\overrightarrow{a}+t\\overrightarrow{b}|^2\\)\u306f\u6700\u5c0f\u50240\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e8c\u4e57\u3057\u306a\u3044\u5834\u5408\u3082\u6700\u5c0f\u5024\u306f0\u3067\u3059\u3002<\/p>\n<h3>\u5185\u7a4d\u3068\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306e\u8a08\u7b97\uff1a\u516c\u5f0f\u3068sin\u03b8\u306e\u5229\u7528<\/h3>\n<p>\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u5f97\u308b\u516c\u5f0f\u3068\u3057\u3066\u4ee5\u4e0b\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ijhg1.jpg\" alt=\"\" width=\"553\" height=\"257\" class=\"aligncenter size-full wp-image-4828\" \/><\/p>\n<p>\u3053\u306e\u516c\u5f0f\u306f\u65e2\u306b\u5b66\u3093\u3067\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305f\u3066\u3068\u6a2a\u3092\u304b\u3051\u305f\u5f8c\u3001\u534a\u5206\u306b\u3059\u308b\u3053\u3068\u3067\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u3044\u308c\u3070\u3001\u3053\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002\\(a\u00b7sin\u03b8\\)\u306f\u305f\u3066\u306e\u9577\u3055\u3092\u8868\u3059\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ijhg2.jpg\" alt=\"\" width=\"600\" height=\"168\" class=\"aligncenter size-full wp-image-4829\" \/><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u3067\u306f\u3001\\(|\\overrightarrow{a}|\\)\u3084\\(|\\overrightarrow{a}|\\)\u306f\u9577\u3055\u3092\u8868\u3057\u307e\u3059\u3002\u307e\u305f\u30012\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066cos\u03b8\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(sin^2\u03b8+cos^2\u03b8=1\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001sin\u03b8\u3092\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\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>\\(|\\overrightarrow{a}|=5\\)\u3001\\(|\\overrightarrow{b}|=3\\)\u3001\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=7\\)\u306e\u3068\u304d\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066cos\u03b8\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\overrightarrow{a}\u00b7\\overrightarrow{b}=|\\overrightarrow{a}||\\overrightarrow{b}|cos\u03b8\\)<\/p>\n<p>\\(7=5\u00d73\u00d7cos\u03b8\\)<\/p>\n<p>\\(cos\u03b8=\\displaystyle\\frac{7}{15}\\)<\/p>\n<p>\\(sin^2\u03b8+cos^2\u03b8=1\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306bsin\u03b8\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(sin^2\u03b8=1-\\left(\\displaystyle\\frac{7}{15}\\right)^2\\)<\/p>\n<p>\\(sin^2\u03b8=\\displaystyle\\frac{176}{225}\\)<\/p>\n<p>\\(sin\u03b8=\\displaystyle\\frac{4\\sqrt{11}}{15}\\)<\/p>\n<p>sin\u03b8\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(S=\\displaystyle\\frac{1}{2}|\\overrightarrow{a}||\\overrightarrow{b}|sin\u03b8\\)<\/p>\n<p>\\(S=\\displaystyle\\frac{1}{2}\u00d75\u00d73\u00d7\\displaystyle\\frac{4\\sqrt{11}}{15}\\)<\/p>\n<p>\\(S=2\\sqrt{11}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6027\u8cea\u3084\u5185\u7a4d\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u5185\u7a4d\u3092\u5229\u7528\u3057\u3066\u9577\u3055\u3084\u89d2\u5ea6\u3001\u9762\u7a4d\u3092\u5f97\u308b<\/h2>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u9577\u3055\u3084\u89d2\u5ea6\u3001\u9762\u7a4d\u306e\u8a08\u7b97\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6570\u5b66\u3060\u3051\u3067\u306a\u304f\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u30d9\u30af\u30c8\u30eb\u304c\u5229\u7528\u3055\u308c\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u30d9\u30af\u30c8\u30eb\u306b\u306f\u5411\u304d\u304c\u3042\u308b\u305f\u3081\u3001\u304b\u3051\u7b97\u3059\u308b\u305f\u3081\u306b\u306f2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u540c\u3058\u5411\u304d\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u89d2\u5ea6\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u308c\u3089\u306e\u77e5\u8b58\u3092\u5b66\u3073\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3084\u9577\u3055\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u89d2\u5ea6\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u89d2\u5ea6\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u30d9\u30af\u30c8\u30eb\u306e\u5e73\u884c\u6761\u4ef6\u3084\u5782\u76f4\u6761\u4ef6\u3092\u5f97\u3089\u308c\u307e\u3059\u3002sin\u03b8\u3092\u8a08\u7b97\u3059\u308c\u3070\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u5f97\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u79c1\u305f\u3061\u304c\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u5b66\u3076\u306e\u306f\u3001\u3053\u308c\u3089\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308b\u305f\u3081\u3067\u3059\u3002\u7279\u306b\u7269\u7406\u3067\u306f\u3001\u89d2\u5ea6\u3092\u5229\u7528\u3057\u3066\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d\u3048\u308b\u306e\u306f\u5fc5\u9808\u3068\u306a\u308b\u77e5\u8b58\u3067\u3059\u3002\u305d\u3053\u3067\u30d9\u30af\u30c8\u30eb\u3068\u89d2\u5ea6\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30d9\u30af\u30c8\u30eb\u3067\u91cd\u8981\u306a\u5185\u5bb9\u306b\u5185\u7a4d\u304c\u3042\u308a\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u306b\u306f\u5411\u304d\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4f55\u3082\u64cd\u4f5c\u306a\u3057\u306b2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u304b\u3051\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u305f\u3060\u3001\u540c\u3058\u5411\u304d\u306b\u305d\u308d\u3048\u308b\u5834\u5408\u306f2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u304b\u3051\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u305d\u308d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11677,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11656","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\/11656","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=11656"}],"version-history":[{"count":7,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11656\/revisions"}],"predecessor-version":[{"id":11828,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11656\/revisions\/11828"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/11677"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}