{"id":11758,"date":"2022-12-22T00:48:13","date_gmt":"2022-12-21T15:48:13","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11758"},"modified":"2022-12-25T05:29:12","modified_gmt":"2022-12-24T20:29:12","slug":"vector-6","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/vector-6.html","title":{"rendered":"\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\uff1a\u76f4\u7dda\u3084\u4e0d\u7b49\u5f0f\u3001\u5e73\u884c\u56db\u8fba\u5f62\u306e\u554f\u984c"},"content":{"rendered":"\n<p>\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7279\u5b9a\u306e\u70b9\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u304c\u3069\u3053\u306b\u5b58\u5728\u3059\u308b\u306e\u304b\u628a\u63e1\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3067\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u30d1\u30bf\u30fc\u30f3\u306b\u5206\u3051\u3066\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6027\u8cea\u3092\u5b66\u3076\u3053\u3068\u306b\u3088\u308a\u3001\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u4fc2\u6570\u306e\u548c\u304c1\u306b\u306a\u308b\u3088\u3046\u306b\u3057\u305f\u308a\u3001\u5f0f\u3092\u5909\u5f62\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3067\u306f\u3001\u4e09\u89d2\u5f62\u3060\u3051\u3067\u306a\u304f\u3001\u5e73\u884c\u56db\u8fba\u5f62\u3067\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u77e5\u308b\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u3092\u5f97\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u76f4\u7ddaAB\u4e0a\u306b\u70b9P\u304c\u5b58\u5728\u3059\u308b\u30b1\u30fc\u30b9<\/h2>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u5b66\u3076\u3068\u304d\u3001\u91cd\u8981\u306a\u8003\u3048\u65b9\u306b\u300c\u4fc2\u6570\u306e\u548c\u30921\u306b\u3059\u308b\u300d\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u542b\u3081\u3001\u4fc2\u6570\u30921\u306b\u3059\u308b\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u3042\u3089\u3086\u308b\u30d9\u30af\u30c8\u30eb\u3092\u8868\u73fe\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b3\u3064\u306e\u30d9\u30af\u30c8\u30eb\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/jd9.jpg\" alt=\"\" width=\"299\" height=\"113\" class=\"aligncenter size-full wp-image-11639\" \/><\/p>\n<p>\\(\\overrightarrow{a}\\)\u3092\u4f5c\u308b\u3068\u304d\u3001\\(\\overrightarrow{b}\\)\u3092\\(k\\)\u500d\u3001\\(\\overrightarrow{c}\\)\u3092\\(l\\)\u500d\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/jd10.jpg\" alt=\"\" width=\"259\" height=\"146\" class=\"aligncenter size-full wp-image-11640\" \/><\/p>\n<p>2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u3059\u3079\u3066\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8868\u73fe\u3067\u304d\u308b\u3053\u3068\u306f\u554f\u984c\u306a\u304f\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u7279\u5b9a\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8868\u3057\u305f\u3044\u3068\u304d\u306f\u6761\u4ef6\u3092\u52a0\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u5b66\u3076\u3068\u304d\u3001\u76f4\u7dda\u3092\u8868\u305b\u308b\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u70b9A\uff08\\(\\overrightarrow{a}\\)\uff09\u3068\u70b9B\uff08\\(\\overrightarrow{b}\\)\uff09\u3092\u7d50\u3076\u8fbaAB\u4e0a\u306b\u70b9P\uff08\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\uff09\u304c\u5b58\u5728\u3059\u308b\u306e\u3067\u3042\u308c\u3070\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u3067\u3042\u308b\u70b9P\uff08\\(\\overrightarrow{p}\\)\uff09\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/odjwb13.jpg\" alt=\"\" width=\"538\" height=\"209\" class=\"aligncenter size-full wp-image-11750\" \/><\/p>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001<span style=\"color: #0000ff;\">\u70b9A\uff08\\(\\overrightarrow{a}\\)\uff09\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u70b9B\uff08\\(\\overrightarrow{b}\\)\uff09\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306b\u3064\u3044\u3066\u3001\u4fc2\u6570\u3092\u8db3\u3059\u30681\u306b\u306a\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3067\u3059\u3002<\/span>\u4e0a\u56f3\u3067\u306f\u3001\\(\\overrightarrow{a}\\)\u306e\u4fc2\u6570\u306f\\(1-t\\)\u3067\u3042\u308a\u3001\\(\\overrightarrow{b}\\)\u306e\u4fc2\u6570\u306f\\(\\overrightarrow{t}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u8db3\u3059\u30681\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u3001\u8fbaAB\u4e0a\u306b\u3042\u308b\u70b9P\uff08\\(\\overrightarrow{p}\\)\uff09\u3092\u307b\u304b\u306e\u65b9\u6cd5\u3067\u8868\u3059\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{p}=s\\overrightarrow{a}+t\\overrightarrow{b}\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje2.jpg\" alt=\"\" width=\"435\" height=\"217\" class=\"aligncenter size-full wp-image-11762\" \/><\/p>\n<p>\u3053\u306e\u5f0f\u306b\u3064\u3044\u3066\u3001\u5fc5\u305a\\(s+t=1\\)\u3068\u306a\u308a\u307e\u3059\u3002\u8981\u306f\u3001\u300c<span style=\"color: #ff0000;\">2\u3064\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306b\u3064\u3044\u3066\u3001\u4fc2\u6570\u3092\u8db3\u3057\u30661\u306b\u306a\u308b\u5834\u5408\u3001\u5fc5\u305a2\u70b9\u3092\u7d50\u3076\u7dda\u4e0a\u306b\u70b9P\uff08\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\uff09\u304c\u5b58\u5728\u3059\u308b<\/span>\u300d\u3068\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5185\u5206\u70b9\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u3068\u304d\u3067\u3042\u3063\u3066\u3082\u30012\u3064\u306e\u4fc2\u6570\u3092\u8db3\u3059\u3068\u5fc5\u305a1\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u30012\u3064\u306e\u70b9\u3092\u7d50\u3076\u7dda\u4e0a\u306b\u70b9P\u304c\u5b58\u5728\u3059\u308b\u304b\u3089\u306a\u306e\u3067\u3059\u3002<\/p>\n<h3>\u4e09\u89d2\u5f62\u306e\u8fba\u4e0a\u306b\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u304c\u5b58\u5728\u3059\u308b\u5834\u5408<\/h3>\n<p>\u306a\u304a\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u4ee5\u4e0b\u306e\u6761\u4ef6\u304c\u63d0\u793a\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{p}=s\\overrightarrow{a}+t\\overrightarrow{b}\\)<\/li>\n<li>\\(s+t=1\\)\u3001\\(s\u22670\\)\u3001\\(t\u22670\\)<\/li>\n<\/ul>\n<p>\\(s+t=1\\)\u306b\u52a0\u3048\u3066\u3001\\(s\u22670\\)\u3068\\(t\u22670\\)\u3082\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u6761\u4ef6\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{p}=s\\overrightarrow{a}+t\\overrightarrow{b}\\)<\/li>\n<li>\\(s+t=1\\)\u3001\u304b\u3064\\(0\u2266s\u22661\\)\u3001\\(0\u2266t\u22661\\)<\/li>\n<\/ul>\n<p>\u4f8b\u3048\u3070\\(s=0,t=1\\)\u306e\u3068\u304d\u3001\u70b9P\u306f\\(\\overrightarrow{p}=\\overrightarrow{b}\\)\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3064\u307e\u308a\u3001\u70b9P\u304c\u70b9B\u306e\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\\(s=1,t=0\\)\u306e\u3068\u304d\u3001\u70b9P\u306f\\(\\overrightarrow{p}=\\overrightarrow{a}\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u70b9P\u306f\u70b9A\u306e\u4e0a\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u306e\u305f\u3081\\(s+t=1\\)\u3001\\(s\u22670\\)\u3001\\(t\u22670\\)\u3068\u306a\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306f\u7dda\u5206AB\u4e0a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/dkdh8.jpg\" alt=\"\" width=\"546\" height=\"184\" class=\"aligncenter size-full wp-image-11862\" \/><\/p>\n<p>\u6761\u4ef6\u304c\\(s+t=1\\)\u3060\u3051\u306e\u5834\u5408\u3001\u70b9P\u306f\u7dda\u5206AB\u306e\u5916\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u304c\u3072\u3093\u3071\u3093\u306b\u3042\u308a\u307e\u3059\u3002\u8fbaAB\u306e\u76f4\u7dda\u4e0a\u3067\u3042\u308c\u3070\u3001\u3069\u3053\u306b\u70b9P\u304c\u5b58\u5728\u3057\u3066\u3082\u3044\u3044\u306e\u3067\u3059\u3002\u4e00\u65b9\u3067<span style=\"color: #0000ff;\">\\(s\u22670\\)\u3068\\(t\u22670\\)\u304c\u6761\u4ef6\u306b\u52a0\u308f\u308b\u3068\u3001\u70b9P\u306f\u7dda\u5206AB\u4e0a\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3>\u4e09\u89d2\u5f62\u306e\u5468\u307e\u305f\u306f\u5185\u90e8\u306b\u70b9P\u304c\u5b58\u5728\u3059\u308b\u30b1\u30fc\u30b9<\/h3>\n<p>\u4e0d\u7b49\u53f7\u3092\u7528\u3044\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u8868\u3059\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u304c\u3053\u308c\u306b\u8a72\u5f53\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{p}=s\\overrightarrow{a}+t\\overrightarrow{b}\\)<\/li>\n<li>\\(s+t\u22661\\)\u3001\\(s\u22670\\)\u3001\\(t\u22670\\)<\/li>\n<\/ul>\n<p>\\(s+t=1\\)\u3067\u306f\u3001\u524d\u8ff0\u306e\u3068\u304a\u308a\u70b9P\u306f\u7dda\u5206AB\u4e0a\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u308c\u306b\u5bfe\u3057\u3066\\(s+t&lt;1\\)\u306e\u5834\u5408\u3001\u70b9P\u306f\u4e09\u89d2\u5f62\u306e\u5185\u90e8\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/dkdh9.jpg\" alt=\"\" width=\"546\" height=\"184\" class=\"aligncenter size-full wp-image-11863\" \/><\/p>\n<p>\u4f8b\u3048\u3070\\(\\overrightarrow{p}=\\displaystyle\\frac{1}{4}\\overrightarrow{a}+\\displaystyle\\frac{1}{4}\\overrightarrow{b}\\)\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje4.jpg\" alt=\"\" width=\"470\" height=\"254\" class=\"aligncenter size-full wp-image-11764\" \/><\/p>\n<p>\\(s+t\u22661\\)\u304c\u6761\u4ef6\u306e\u5834\u5408\u3001\u70b9\u306f\u8fba\u306e\u4e0a\u3060\u3051\u3067\u306a\u304f\u3001\u5185\u90e8\u306b\u5b58\u5728\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h3>\u4fc2\u6570\u3092\u78ba\u8a8d\u3057\u3001\u30d9\u30af\u30c8\u30eb\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u5f97\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\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>\u25b3OAB\u306b\u3064\u3044\u3066\u3001\\(\\overrightarrow{OP}=s\\overrightarrow{OA}+t\\overrightarrow{OB}\\)\u3067\u3059\u3002\u5b9f\u6570\\(s,t\\)\u304c\\(2s+t=3\\)\u3092\u6e80\u305f\u3059\u3068\u304d\u3001\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u5148\u307b\u3069\u3068\u306f\u7570\u306a\u308a\u3001\\(2s+t=3\\)\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u4fc2\u6570\u304c\u7570\u306a\u308a\u307e\u3059\u3057\u3001\u8db3\u3057\u3066\u30821\u306b\u306a\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001<span style=\"color: #0000ff;\">\u4fc2\u6570\u3092\u8db3\u3057\u30661\u306b\u306a\u308b\u3088\u3046\u306b\u5f0f\u3092\u5909\u3048\u307e\u3057\u3087\u3046\u3002<\/span>\u4e21\u8fba\u30923\u3067\u5272\u308c\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u53f3\u8fba\u306b1\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{2}{3}s+\\displaystyle\\frac{1}{3}t=1\\)<\/li>\n<\/ul>\n<p>\u305f\u3060\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3068\\(\\overrightarrow{OP}=s\\overrightarrow{OA}+t\\overrightarrow{OB}\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(\\displaystyle\\frac{2}{3}s\\)\u3084\\(\\displaystyle\\frac{1}{3}t\\)\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\u3001\\(\\displaystyle\\frac{2}{3}s\\)\u3068\\(\\displaystyle\\frac{1}{3}t\\)\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{OP}=\\color{red}{\\displaystyle\\frac{2}{3}s}\u00b7\\displaystyle\\frac{3}{2}\\overrightarrow{OA}+\\color{red}{\\displaystyle\\frac{1}{3}t}\u00b73\\overrightarrow{OB}\\)<\/li>\n<\/ul>\n<p>\\(\\displaystyle\\frac{2}{3}s+\\displaystyle\\frac{1}{3}t=1\\)\u3068\u306a\u308a\u3001\u4e0a\u306e\u3088\u3046\u306b\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\u3001\u30d9\u30af\u30c8\u30eb\u306e\u4fc2\u6570\u3068\u5f0f\u3092\u5408\u308f\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u4eee\u306b\\(\\displaystyle\\frac{2}{3}s=1\\)\u306e\u3068\u304d\u3001\u70b9P\u306f\\(\\displaystyle\\frac{3}{2}\\overrightarrow{OA}\\)\u306e\u5834\u6240\u306b\u3042\u308a\u307e\u3059\u3002\u307e\u305f\\(\\displaystyle\\frac{1}{3}t=1\\)\u306e\u3068\u304d\u3001\u70b9P\u306f\\(3\\overrightarrow{OB}\\)\u306e\u5834\u6240\u306b\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u70b9P\u306f\\(\\displaystyle\\frac{3}{2}\\overrightarrow{OA}\\)\u3068\\(3\\overrightarrow{OB}\\)\u3092\u7d50\u3076\u76f4\u7dda\u4e0a\u306b\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje7.jpg\" alt=\"\" width=\"332\" height=\"277\" class=\"aligncenter size-full wp-image-11782\" \/><\/p>\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u5f97\u305f\u3044\u3068\u304d\u3001\u4fc2\u6570\u3092\u8db3\u3057\u30661\u306b\u306a\u308b\u3088\u3046\u306b\u5f0f\u3092\u8abf\u7bc0\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u5f8c\u3001\u5f0f\u306e\u4e2d\u306b\u65b0\u305f\u306a\u4fc2\u6570\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5e73\u884c\u56db\u8fba\u5f62\u306e\u5468\u307e\u305f\u306f\u5185\u90e8\u306b\u70b9P\u304c\u5b58\u5728\u3059\u308b\u30b1\u30fc\u30b9<\/h2>\n<p><span>\u3053\u3053\u307e\u3067\u3001\u4e09\u89d2\u5f62\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u306b\u3064\u3044\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u5e73\u884c\u56db\u8fba\u5f62\u3068\u306a\u308b\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u6761\u4ef6\u304c\u3053\u308c\u306b\u8a72\u5f53\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li>\\(\\overrightarrow{p}=s\\overrightarrow{a}+t\\overrightarrow{b}\\)<\/li>\n<li>\\(0\u2266s\u22661\\)\u3001\\(0\u2266t\u22661\\)<\/li>\n<\/ul>\n<p>\u5148\u307b\u3069\u3068\u306f\u7570\u306a\u308a\u3001\\(s+t=1\\)\u304c\u6761\u4ef6\u306b\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u3064\u307e\u308a\\(s=1,t=1\\)\u3068\u306a\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308a\u3001\u3053\u306e\u5834\u5408\u306f\\(s+t=2\\)\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u6761\u4ef6\u3067\u306f\u3001\u4e09\u89d2\u5f62\u3067\u306f\u306a\u304f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5e73\u884c\u56db\u8fba\u5f62\u304c\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje12.jpg\" alt=\"\" width=\"583\" height=\"190\" class=\"aligncenter size-full wp-image-11787\" \/><\/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>\u25b3OAB\u306b\u3064\u3044\u3066\u3001\\(\\overrightarrow{OP}=s\\overrightarrow{OA}+t\\overrightarrow{OB}\\)\u3001\\(1\u2266s\u22662\\)\u3001\\(0\u2266t\u22661\\)\u3092\u6e80\u305f\u3059\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\\(s+t\\)\u306e\u7bc4\u56f2\u306f\u8a18\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u307e\u305f\u3001\\(s\\)\u3068\\(t\\)\u306f\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u307e\u305a\u306f\\(1\u2266s\u22662\\)\u3068\u306a\u308b\u7bc4\u56f2\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\\(1\u2266s\u22662\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4e0b\u56f3\u3067\u306f\u70b9A\u304b\u3089\u70b9D\u307e\u3067\u304c\u7bc4\u56f2\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje13.jpg\" alt=\"\" width=\"600\" height=\"228\" class=\"aligncenter size-full wp-image-11788\" \/><\/p>\n<p>\u4e00\u65b9\u3001\\(0\u2266t\u22661\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(t\\overrightarrow{OB}\\)\u306f\u539f\u70b9\u304b\u3089\u70b9B\u307e\u3067\u304c\u7bc4\u56f2\u3067\u3059\u3002\u305f\u3060\u524d\u8ff0\u306e\u3068\u304a\u308a\u3001<span style=\"color: #0000ff;\">\\(1\u2266s\u22662\\)\u3067\u3042\u308b\u305f\u3081\u3001\u70b9P\u306e\u59cb\u70b9\u306f\u70b9A\u3067\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\u70b9A\u3092\u57fa\u6e96\u306b\u3057\u3066\\(\\overrightarrow{OB}\\)\u306e\u7bc4\u56f2\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\u4e0a\u56f3\u306e\u5e73\u884c\u56db\u8fba\u5f62ADEC\u304c\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u4fc2\u6570\u304c\u8907\u96d1\u306a\u5834\u5408\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2<\/h3>\n<p>\u6b21\u306b\u3001\u4fc2\u6570\u304c\u5c11\u3057\u8907\u96d1\u306b\u306a\u3063\u3066\u3044\u308b\u5834\u5408\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u78ba\u8a8d\u3057\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>\u25b3OAB\u306b\u3064\u3044\u3066\u3001\\(\\overrightarrow{OP}=s\\overrightarrow{OA}+(s+t)\\overrightarrow{OB}\\)\u3001\\(0\u2266s\u22661\\)\u3001\\(0\u2266t\u22661\\)\u3092\u6e80\u305f\u3059\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\overrightarrow{OP}=s\\overrightarrow{OA}+(s+t)\\overrightarrow{OB}\\)<\/p>\n<p>\\(\\overrightarrow{OP}=s(\\overrightarrow{OA}+\\overrightarrow{OB})+t\\overrightarrow{OB}\\)<\/p>\n<p>\u306a\u304a\\(\\overrightarrow{OA}+\\overrightarrow{OB}=\\overrightarrow{OC}\\)\u3068\u3059\u308b\u3068\u3001\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{OP}=s\\overrightarrow{OC}+t\\overrightarrow{OB}\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u5e73\u884c\u56db\u8fba\u5f62\u3067\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d42\u70b9\u306e\u5b58\u5728\u7bc4\u56f2\u3068\u540c\u3058\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\\(\\overrightarrow{OA}+\\overrightarrow{OB}=\\overrightarrow{OC}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u56f3\u3092\u4f5c\u308b\u3068\u3001\u5e73\u884c\u56db\u8fba\u5f62OACB\u306b\u3066\u3001\u70b9C\u306f\u70b9O\u306e\u53cd\u5bfe\u5074\u306b\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje14.jpg\" alt=\"\" width=\"579\" height=\"157\" class=\"aligncenter size-full wp-image-11789\" \/><\/p>\n<p>\u305d\u3053\u3067\u25b3OBC\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u6761\u4ef6\u3067\u306e\u70b9P\u306e\u5b58\u5728\u7bc4\u56f2\u3092\u56f3\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(\\overrightarrow{OP}=s\\overrightarrow{OC}+t\\overrightarrow{OB}\\)<\/li>\n<li>\\(0\u2266s\u22661\\)\u3001\\(0\u2266t\u22661\\)<\/li>\n<\/ul>\n<p>\u305d\u3046\u3059\u308b\u3068\u3001\u25b3OBC\u3092\u5229\u7528\u3057\u3066\u4f5c\u308b\u3053\u3068\u306e\u3067\u304d\u308b\u4ee5\u4e0b\u306e\u56f3\uff08\u5e73\u884c\u56db\u8fba\u5f62\uff09\u304c\u7b54\u3048\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/efje15.jpg\" alt=\"\" width=\"555\" height=\"298\" class=\"aligncenter size-full wp-image-11790\" 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