{"id":1599,"date":"2025-12-24T17:19:41","date_gmt":"2025-12-24T08:19:41","guid":{"rendered":"https:\/\/math-travel.com\/?p=1599"},"modified":"2026-02-11T16:41:12","modified_gmt":"2026-02-11T07:41:12","slug":"internal-division","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/internal-division\/","title":{"rendered":"\u3010\u57fa\u672c\u3011\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u3068\u6c42\u3081\u65b9\u30fc\u5ea7\u6a19\u30fb\u30d9\u30af\u30c8\u30eb\u30fb\u8907\u7d20\u6570\u3059\u3079\u3066\u306b\u5bfe\u5fdc"},"content":{"rendered":"\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u300c\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u304c\u77e5\u308a\u305f\u3044\u300d<\/p>\n\n\n\n<p>\u300c\u516c\u5f0f\u306e\u4f7f\u3044\u65b9\u304c\u77e5\u308a\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"hutoaka\">\u56f3\u5f62\u306e\u5358\u5143\u304c\u82e6\u624b\u306a\u65b9\u306f\u5fc5\u898b\u3067\u3059\uff01<\/span><\/p>\n\n\n\n<p>\u4eca\u56de\u306f\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5185\u5206\u30fb\u5916\u5206\u304c\u82e6\u624b\u3067\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"500\" height=\"265\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/05\/\u30aa\u30f3\u30e9\u30a4\u30f3\u6388\u696d2-e1639213338680.jpg\" alt=\"\u60a9\u3080\u5b66\u751f\" class=\"wp-image-7771\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/05\/\u30aa\u30f3\u30e9\u30a4\u30f3\u6388\u696d2-e1639213338680.jpg 500w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/05\/\u30aa\u30f3\u30e9\u30a4\u30f3\u6388\u696d2-e1639213338680-300x159.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"huto\">\u300c\u5185\u5206\u70b9\u300d\u300c\u5916\u5206\u70b9\u300d\u306f\u9ad8\u6821\u6570\u5b66\u3067\u4f55\u5ea6\u3082\u767b\u5834\u3059\u308b\u91cd\u8981\u306a\u70b9\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u5e73\u9762\u5ea7\u6a19\u3060\u3051\u3067\u306a\u304f\u3001\u30d9\u30af\u30c8\u30eb\u3084\u8907\u7d20\u6570\u306b\u3082\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306f\u767b\u5834\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5ea7\u6a19\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e\uff12\u70b9\\(A(x_{1},y_{1}),B(x_{2},y_{2})\\)\u306b\u3064\u3044\u3066\u3001\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u70b9P\u306e\u5ea7\u6a19<br>\\[\\displaystyle (\\frac{nx_{1}+mx_{2}}{m+n},\\frac{ny_{1}+my_{2}}{m+n})\\]<\/p>\n\n\n\n<p>\u70b9Q\u306e\u5ea7\u6a19<br>\\[\\displaystyle (\\frac{-nx_{1}+mx_{2}}{m-n},\\frac{-ny_{1}+my_{2}}{m-n})\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f\u3001<span class=\"hutoaka\">\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u3084\u8a3c\u660e,\u6c42\u3081\u65b9\u3092\u5358\u5143\u5225\u3067\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u8a18\u4e8b\u3092\u8aad\u3080\u3053\u3068\u3067\u3001\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u304c\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001<br>\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading st-css-no\" id=\"1\">\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3068\u306f<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"350\" height=\"320\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253.png\" alt=\"\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3068\u306f\" class=\"wp-image-7275\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253.png 350w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253-300x274.png 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/figure>\n<\/div>\n\n\n<p>\u305d\u3082\u305d\u3082\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3063\u3066\u306a\u3093\u306a\u306e\uff1f\u3063\u3066\u3068\u3053\u308d\u304b\u3089\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u5185\u5206\u70b9\u3068\u306f<br>\u7dda\u5206\u3092\\(m:n\\)\u306b\u306a\u308b\u3088\u3046\u306b\u7dda\u5206\u306e\u5185\u5074\u3067\u5206\u3051\u308b\u70b9<\/p>\n\n\n\n<p>\u5916\u5206\u70b9\u3068\u306f<br>\u7dda\u5206\u304c\\(m:n\\)\u306b\u306a\u308b\u3088\u3046\u306b\u7dda\u5206\u306e\u5916\u5074\u306b\u3042\u308b\u70b9<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b<span class=\"huto\">\u7dda\u5206\u3092\u5185\u5074\u3067\u5206\u3051\u308b\u70b9<\/span>\u3092<span class=\"hutoaka\">\u5185\u5206\u70b9<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"484\" height=\"184\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9.jpg\" alt=\"\u5185\u5206\u70b9\u3068\u306f\" class=\"wp-image-1614\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9.jpg 484w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9-300x114.jpg 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4e00\u65b9\u3067\u3001\u7dda\u5206\u304c\u3042\u308b\u6bd4\u306b\u306a\u308b\u3088\u3046\u306b<span class=\"huto\">\u7dda\u5206\u306e\u5916\u5074\u306b\u5b9a\u307e\u308b\u70b9<\/span>\u3092<span class=\"hutoaka\">\u5916\u5206\u70b9<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"471\" height=\"194\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9.jpg\" alt=\"\u5916\u5206\u70b9\u3068\u306f\" class=\"wp-image-1619\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9.jpg 471w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9-300x124.jpg 300w\" sizes=\"(max-width: 471px) 100vw, 471px\" \/><\/figure>\n<\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5185\u5074\u3067\u5206\u3051\u308b\u306e\u304c\u5185\u5206\u70b9\u3067\u5916\u5074\u3067\u5206\u3051\u308b\u306e\u304c\u5916\u5206\u70b9\u3060\u306d\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"2\">\u6570\u76f4\u7dda\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/h2>\n\n\n\n<p>\u6570\u76f4\u7dda\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u76f4\u7dda\u3092\u5206\u3051\u308b<\/h3>\n\n\n\n<p>\u307e\u305a\u306f\u3001\u6570\u76f4\u7dda\u4e0a\u306b\u7570\u306a\u308b2\u70b9\\(A(a),B(b)\\)\u304c\u3042\u308b\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001A,B\u306e\u4e26\u3073\u65b9\u306f\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b2\u901a\u308a\u306e\u4e26\u3079\u65b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"720\" height=\"171\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9.png\" alt=\"\u6570\u76f4\u7dda\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\" class=\"wp-image-4565\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9.png 720w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9-300x71.png 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3044\u305a\u308c\u306e\u5834\u5408\u306b\u304a\u3044\u3066\u3082\u6b21\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u76f4\u7dda\u4e0a\u306e\uff12\u70b9\\(A(a),B(b)\\)\u306b\u3064\u3044\u3066\u3001\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u70b9P\u306e\u5ea7\u6a19\u3000\\(\\displaystyle \\frac{na+mb}{m+n}\\)<\/p>\n\n\n\n<p>\u70b9Q\u306e\u5ea7\u6a19\u3000\\(\\displaystyle \\frac{-na+mb}{m-n}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u5177\u4f53\u7684\u306a\u6570\u5b57\u3067\u78ba\u304b\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5185\u5206\u70b9\u306b\u3064\u3044\u3066<\/h4>\n\n\n\n<p>\u6570\u76f4\u7dda\u4e0a\u306b\u7570\u306a\u308b2\u70b9\\(A(3)B(8)\\)\u304c\u3042\u308a\u307e\u3059\u3002<span class=\"huto\">\u3053\u306e\u7dda\u5206\\(AB\\)\u3092\\(2:3\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u306e\u4f4d\u7f6e\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"384\" height=\"134\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b91.png\" alt=\"\u6570\u76f4\u7dda\u306e\u5185\u5206\u70b9\" class=\"wp-image-4562\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b91.png 384w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b91-300x105.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6570\u76f4\u7dda\u4e0a\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u306e\u516c\u5f0f\u306b2\u70b9\\(A,B\\)\u306e\u5024\u3068\u3001\u5185\u5206\u3059\u308b\u6bd4\\(m:n=2:3\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"graybox\">\n<p>\\[\\displaystyle \\frac{na+mb}{m+n}=\\frac{3 \\cdot 3 + 2 \\cdot 8}{2+3}=\\frac{25}{5}=5\\]<\/p>\n<\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7dda\u5206AB\u3092\\(2:3\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u306f\\(P(5)\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5b9f\u969b\u306b\u6570\u76f4\u7dda\u3067\u78ba\u304b\u3081\u3066\u307f\u308b\u3068\u30015\u306e\u70b9\u304c\u7dda\u5206AB\u3092\\(2:3\\)\u306b\u5185\u5206\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"384\" height=\"134\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b92.jpg\" alt=\"\u6570\u76f4\u7dda\u306e\u5185\u5206\u70b9\" class=\"wp-image-4563\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b92.jpg 384w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b92-300x105.jpg 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306b\u3064\u3044\u3066<\/h4>\n\n\n\n<p>\u3064\u304e\u306f\u5916\u5206\u70b9\u306e\u516c\u5f0f\u306b\u6570\u5b57\u3092\u4ee3\u5165\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u76f4\u7dda\u4e0a\u306b\u7570\u306a\u308b2\u70b9\\(A(4)B(7)\\)\u304c\u3042\u308a\u307e\u3059\u3002<span class=\"huto\">\u3053\u306e\u7dda\u5206\\(AB\\)\u3092\\(2:1\\)\u306b\u5916\u5206\u3059\u308b\u70b9Q\u306e\u4f4d\u7f6e\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"322\" height=\"163\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b91.png\" alt=\"\u6570\u76f4\u7dda\u306e\u5916\u5206\u70b9\" class=\"wp-image-4559\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b91.png 322w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b91-300x152.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6570\u76f4\u7dda\u4e0a\u306b\u304a\u3051\u308b\u5916\u5206\u70b9\u306e\u516c\u5f0f\u306b2\u70b9\\(A,B\\)\u306e\u5024\u3068\u3001\u5916\u5206\u3059\u308b\u6bd4\\(m:n=2:1\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"hutoaka\">\u5916\u5206\u70b9\u3092\u6c42\u3081\u308b\u3068\u304d\u306f\\(-n\\)\u3092\u639b\u3051\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n<div class=\"graybox\">\n<p>\\[\\displaystyle \\frac{-na+mb}{m-n}=\\frac{-1 \\cdot 4 + 2 \\cdot 7}{2-1}=10\\]<\/p>\n<\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7dda\u5206AB\u3092\\(2:1\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u306f\\(Q(5)\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5b9f\u969b\u306b\u6570\u76f4\u7dda\u4e0a\u3067\u78ba\u304b\u3081\u3066\u307f\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"322\" height=\"163\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b912png.png\" alt=\"\u6570\u76f4\u7dda\u306e\u5916\u5206\u70b9\" class=\"wp-image-4560\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b912png.png 322w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5916\u5206\u70b912png-300x152.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">\u30b3\u30f3\u30d1\u30b9\u3092\u4f7f\u3063\u3066\u4f5c\u56f3<\/h3>\n\n\n\n<p>\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u898b\u3064\u3051\u65b9\u306f\u3082\u3046\uff11\u3064\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30b3\u30f3\u30d1\u30b9\u3092\u4f7f\u3046\u3053\u3068\u3067\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u4f5c\u56f3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list is-style-bg_stripe\">\n<li>\u534a\u76f4\u7ddaAC\u3092\u5f15\u304f<\/li>\n\n\n\n<li>AC\u4e0a\u306b\u7b49\u9593\u9694\u306e\\((m+n)\\)\u500b\u306e\u70b9\u3092\u4f5c\u56f3<\/li>\n\n\n\n<li>\u70b9B\u3068\u7d50\u3076<\/li>\n\n\n\n<li>\u5e73\u884c\u7dda\u3092\u5f15\u304f<\/li>\n<\/ol>\n\n\n\n<p>\u30b3\u30f3\u30d1\u30b9\u3092\u4f7f\u3063\u3066\u5185\u5206\u70b9\u3092\u4f5c\u56f3\u3059\u308b\u624b\u9806\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u53c2\u8003<\/span><\/div><div class=\"cap_box_content\">\n<p>\u4eba\u6c17\u6559\u80b2\u7cfbYoutuber\u306e\u8449\u4e00\u3055\u3093\u304c\u52d5\u753b\u3067\u4f5c\u56f3\u306e\u4ed5\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u3010\u9ad8\u6821\u6570\u5b66\u3011\u3000\u6570A\uff0d\uff15\uff18\u3000\u4f5c\u56f3\u2461\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/O5mMRtCAJqk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n<\/div><\/div>\n\n\n\n<p>\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092\u4f5c\u56f3\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u3001\u76f4\u7ddaAB\u4e0a\u306b\u306a\u3044\u70b9C\u3092\u9069\u5f53\u306b\u6c7a\u3081\u3066\u534a\u76f4\u7ddaAC\u3092\u5f15\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p><span style=\"color: #333333;\">\u203b\u534a\u76f4\u7dda\u3068\u306f\u3001\u7247\u65b9\u3092\u7aef\u3068\u3057\u3066\u3001\u3082\u3046\u4e00\u65b9\u304c\u5ef6\u3005\u3068\u4f38\u3073\u308b\u307e\u3063\u3059\u3050\u306a\u7dda\u3067\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"560\" height=\"252\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b91.png\" alt=\"\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b9\" class=\"wp-image-4567\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b91.png 560w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b91-300x135.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6b21\u306b\u30b3\u30f3\u30d1\u30b9\u3092\u4f7f\u3063\u3066\u7dda\u5206AC\u3092\\((m+n)\\)\u7b49\u5206\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u306a\u306e\u3067\u3001\u7dda\u5206AC\u30925\u7b49\u5206\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u30b3\u30f3\u30d1\u30b9\u3092\u9069\u5f53\u306a\u9577\u3055\u306b\u958b\u304d\u3001\u91dd\u3092\u70b9A\u306b\u6307\u3057\u3066\u7dda\u3092\u5f15\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3044\u307e\u5f15\u3044\u305f\u5f27\u3068\u76f4\u7ddaAC\u306e\u4ea4\u70b9\u306b\u91dd\u3092\u523a\u3057\u76f4\u3057\u3066\u3001\u3042\u30684\u56de\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"560\" height=\"252\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b92.jpg\" alt=\"\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b9\" class=\"wp-image-4552\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b92.jpg 560w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b92-300x135.jpg 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/figure>\n<\/div>\n\n\n<p>5\u56de\u76ee\u306b\u5f15\u3044\u305f\u7dda\u3068\u534a\u76f4\u7ddaAC\u3068\u306e\u4ea4\u70b9\u3092\u70b9B\u3068\u7d50\u3073\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"560\" height=\"252\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b93.jpg\" alt=\"\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b9\" class=\"wp-image-4553\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b93.jpg 560w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b93-300x135.jpg 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3055\u3044\u3054\u306b\u534a\u76f4\u7ddaAC\u4e0a\u306e\\(3:2\\)\u306b\u5185\u5206\u3057\u3066\u3044\u308b\u70b9\u304b\u3089\u3001\u5e73\u884c\u7dda\u3092\u5f15\u3044\u3066\u7dda\u5206AB\u3068\u4ea4\u308f\u3063\u305f\u70b9\u304c\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"560\" height=\"252\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b94.jpg\" alt=\"\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b9\" class=\"wp-image-4554\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b94.jpg 560w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u30b3\u30f3\u30d1\u30b9\u5185\u5206\u70b94-300x135.jpg 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading st-css-no\" id=\"3\">\u5ea7\u6a19\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/h2>\n\n\n\n<p><span class=\"huto\">\u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u516c\u5f0f\u3092\u7d39\u4ecb\u3057\u305f\u3042\u3068\u306b\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u3044\u308c\u3066\u3001\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u898b\u3064\u3051\u308b\u7df4\u7fd2\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ol class=\"wp-block-list\">\n<li><a href=\"#zahyou-koushiki\">\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3051\u308b\u516c\u5f0f<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/a><\/li>\n\n\n\n<li><a href=\"#zahyou-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/a><\/li>\n<\/ol>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5185\u5206\u30fb\u5916\u5206\u306e\u516c\u5f0f\u304c\u899a\u3048\u3089\u308c\u306a\u304f\u3066\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"zahyou-koushiki\">\u5ea7\u6a19\u5e73\u9762\u306e\u3068\u304d\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u6b21\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5ea7\u6a19\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e\uff12\u70b9\\(A(x_{1},y_{1}),B(x_{2},y_{2})\\)\u306b\u3064\u3044\u3066\u3001\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u70b9P\u306e\u5ea7\u6a19<br>\\[\\displaystyle (\\frac{nx_{1}+mx_{2}}{m+n},\\frac{ny_{1}+my_{2}}{m+n})\\]<\/p>\n\n\n\n<p>\u70b9Q\u306e\u5ea7\u6a19<br>\\[\\displaystyle (\\frac{-nx_{1}+mx_{2}}{m-n},\\frac{-ny_{1}+my_{2}}{m-n})\\]<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\u306f\u4e2d\u5b66\u6821\u307e\u3067\u306e\u77e5\u8b58\u3067\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"547\" height=\"341\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u3000\u8a3c\u660e.jpg\" alt=\"\u5185\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\u3000\u8a3c\u660e\" class=\"wp-image-1636\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u3000\u8a3c\u660e.jpg 547w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u3000\u8a3c\u660e-300x187.jpg 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u304a\u3044\u30662\u70b9A,B\u3068\u3001\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u304c\u5b58\u5728\u3059\u308b\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\(AP:PB=m:n\\)\u306a\u3089\u3070\u3001\\(A&#8217;P&#8217;:P&#8217;B&#8217;=m:n\\)\u3068\u306a\u308a\u307e\u3059\u3002\uff08\u53c2\u8003\uff1a\u5e73\u884c\u7dda\u3068\u6bd4\u306b\u3064\u3044\u3066\u78ba\u304b\u3081\u308b\uff09<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>(x-x_{A}):(x_{B}-x)&amp;=&amp;m:n\\\\<br>n(x-x_{A})&amp;=&amp;m(x_{B}-x)\\\\<br>nx-nx_{A}&amp;=&amp;mx_{B}-mx\\\\<br>mx+nx &amp;=&amp; nx_{A}+mx_{B}\\\\<br>\\left( m+n \\right)x&amp;=&amp;nx_{A}+mx_{B}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\[x=\\dfrac{nx_{A}+mx_{B}}{m+n}\\]<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u5185\u5206\u70b9P\u306e\\(x\\)\u5ea7\u6a19\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u540c\u69d8\u306by\u5ea7\u6a19\u3082\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u3066\u8a3c\u660e\u7d42\u4e86\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5916\u5206\u70b9\u3082\u540c\u3058\u3088\u3046\u306a\u8003\u3048\u65b9\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306f\\(m\\)\uff1e\\(n\\)\u306e\u3068\u304d\u3092\u8a3c\u660e\u3057\u307e\u3059\u304c\u3001\\(m\\)\uff1c\\(n\\)\u306e\u3068\u304d\u3082\u540c\u3058\u3088\u3046\u306b\u8a3c\u660e\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"551\" height=\"350\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u3000\u8a3c\u660e.jpg\" alt=\"\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\u3000\u8a3c\u660e\" class=\"wp-image-1642\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u3000\u8a3c\u660e.jpg 551w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u3000\u8a3c\u660e-300x191.jpg 300w\" sizes=\"(max-width: 551px) 100vw, 551px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(AQ:QB=m:n\\)\u306e\u3068\u304d\u3001\\(A&#8217;Q&#8217;:Q&#8217;B&#8217;=m:n\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>(x-x_{A}):(x-x_{B})&amp;=&amp;m:n\\\\<br>n(x-x_{A})&amp;=&amp;m(x-x_{B})\\\\<br>nx-nx_{A}&amp;=&amp;mx-mx_{B}\\\\<br>mx-nx&amp;=&amp;-nx_{A}+mx_{B}\\\\<br>(m-n)x&amp;=&amp;-nx_{A}+mx_{B}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\[x=\\dfrac{-nx_{A}+mx_{B}}{m-n}\\]<\/p>\n\n\n\n<p>\u5916\u5206\u70b9Q\u306e\\(x\\)\u5ea7\u6a19\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002y\u5ea7\u6a19\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u793a\u3057\u3066\u8a3c\u660e\u7d42\u4e86\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"zahyou-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/h3>\n\n\n\n<p>\u5b9f\u969b\u306b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u5ea7\u6a19\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5185\u5206\u70b9\u306e\u5ea7\u6a19<\/h4>\n\n\n\n<p>2\u70b9\\(A(3,2),B(9,6)\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"576\" height=\"327\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91-.jpg\" alt=\"\u5185\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\" class=\"wp-image-1615\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91-.jpg 576w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91--300x170.jpg 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"yellow-hoso\">\u30dd\u30a4\u30f3\u30c8\u306f\u5206\u6bcd\u306f\u6bd4\u306e\u8db3\u3057\u7b97\u3001\u5206\u5b50\u306f\u4e21\u7aef\u306e\u5ea7\u6a19\u306b\u6bd4\u3092\u30af\u30ed\u30b9\u3057\u3066\u639b\u3051\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"648\" height=\"314\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b92-.jpg\" alt=\"\u5185\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\" class=\"wp-image-1616\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b92-.jpg 648w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b92--300x145.jpg 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(A(3,2),B(9,6)\\)\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\[x_{P}=\\displaystyle \\frac{2\\times{3}+3\\times{9}}{3+2}=\\displaystyle \\frac{33}{5}\\]<\/p>\n\n\n\n<p>\\[y_{P}=\\displaystyle \\frac{2\\times{2}+3\\times{6}}{3+2}=\\displaystyle \\frac{22}{5}\\]<\/p>\n\n\n\n<p>\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u306e\u5ea7\u6a19\u306f\u3001\\(P\\biggl(\\displaystyle \\frac{33}{5},\\displaystyle \\frac{22}{5}\\biggr)\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306e\u5ea7\u6a19<\/h4>\n\n\n\n<p>\u3064\u304e\u306f\u5ea7\u6a19\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u5916\u5206\u70b9\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>2\u70b9\\(A(3,2),B(9,6)\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(5:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9Q\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n<p>\u5185\u5206\u70b9\u306e\u5206\u6bcd\u306f\u6bd4\u7387\u3092\u8db3\u3057\u307e\u3057\u305f\u304c\u3001\u5916\u5206\u70b9\u3067\u306f\u5f15\u304d\u7b97\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"575\" height=\"311\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93.jpg\" alt=\"\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\" class=\"wp-image-1621\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93.jpg 575w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93-300x162.jpg 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(A(3,2),B(9,6)\\)\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\[x_{P}=\\displaystyle \\frac{-2\\times{3}+5\\times{9}}{5-2}=\\displaystyle \\frac{39}{3}=13\\]<\/p>\n\n\n\n<p>\\[y_{P}=\\displaystyle \\frac{-2\\times{2}+5\\times{6}}{5-2}=\\displaystyle \\frac{26}{3}\\]<\/p>\n\n\n\n<p>\u7dda\u5206AB\u3092\\(5:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9Q\u306e\u5ea7\u6a19\u306f\u3001\\(Q\\biggl(13,\\displaystyle \\frac{26}{3}\\biggr)\\)<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u30ac\u30a4\u30c9\u30e1\u30cb\u30e5\u30fc<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li><a href=\"#mokuzi\">\u76ee\u6b21\u3078\u623b\u308b<\/a><\/li>\n\n\n\n<li><a href=\"#6\">\u3088\u304f\u3042\u308b\u9593\u9055\u3044<\/a><\/li>\n\n\n\n<li><a href=\"#study\">\u304a\u3059\u3059\u3081\u306e\u52c9\u5f37\u6cd5<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4\">\u30d9\u30af\u30c8\u30eb\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/h2>\n\n\n\n<p><span class=\"huto\">\u30d9\u30af\u30c8\u30eb\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u516c\u5f0f\u3092\u89e3\u8aac\u3057\u305f\u3042\u3068\u306b\u3001\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u308b\u7df4\u7fd2\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ol class=\"wp-block-list\">\n<li><a href=\"#vector-koushiki\">\u30d9\u30af\u30c8\u30eb\u306b\u304a\u3051\u308b\u516c\u5f0f<\/a><\/li>\n\n\n\n<li><a href=\"#vector-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/a><\/li>\n\n\n\n<li><a href=\"#vector-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/a><\/li>\n<\/ol>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u8a08\u7b97\u304c\u82e6\u624b\u306a\u3093\u3067\u3059\u3088\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"vector-koushiki\">\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306b\u304a\u3051\u308b\u516c\u5f0f<\/h3>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u516c\u5f0f\u306f<span class=\"yellow-hoso\">\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u3001\u7a7a\u9593\u30d9\u30af\u30c8\u30eb\u3069\u3061\u3089\u3067\u3082\u4f7f\u3048\u308b<\/span>\u306e\u3067\u662f\u975e\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb<\/span><\/div><div class=\"cap_box_content\">\n<p>\uff12\u70b9\\(A(\\vec{a}),B(\\vec{b})\\)\u3092\u7d50\u3076\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9Q\u306e\u305d\u308c\u305e\u308c\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\\(\\vec{p},\\vec{q}\\)\u3068\u3059\u308b\u3068\u3001<br>&lt;p style=&#8221;text-align: center;&#8221;&gt;\\(\\displaystyle \\vec{p}=\\frac{n \\vec{a} + m \\vec{b}}{m+n}\\)&lt;\/p&gt;<br>&lt;p style=&#8221;text-align: center;&#8221;&gt;\\(\\displaystyle \\vec{q}=\\frac{-n \\vec{a} + m \\vec{b}}{m-n}\\)&lt;\/p&gt;<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"vector-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u516c\u5f0f\u306e\u8a3c\u660e\u306f\u5ea7\u6a19\u5e73\u9762\u306e\u3068\u304d\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3000\u8a3c\u660e<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"595\" height=\"439\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png\" alt=\"\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1\" class=\"wp-image-4579\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png 595w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1-300x221.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/figure>\n<\/div>\n\n\n<p>\uff12\u70b9\\(A(\\vec{a}),B(\\vec{b})\\)\u3092\u7d50\u3076\u7dda\u5206AB\u306b\u304a\u3044\u3066\u3001\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u70b9P\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\\(\\vec{AP}\\)\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{AP}=\\frac{m}{m+n} \\vec{AB}\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{p}-\\vec{a}=\\frac{m}{m+n}(\\vec{b}-\\vec{a})\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{p}=(1-\\frac{m}{m+n})\\vec{a}+\\frac{m}{m+n}\\vec{b}\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{p}=\\frac{n \\vec{a} + m \\vec{b}}{m+n}\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3000\u8a3c\u660e<\/h4>\n\n\n\n<p>\u5916\u5206\u70b9\u3082\u540c\u3058\u3088\u3046\u306a\u8003\u3048\u65b9\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"639\" height=\"394\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png\" alt=\"\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1\" class=\"wp-image-4580\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png 639w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1-300x185.png 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(m \uff1e n\\)\u306e\u3068\u304d\u3001\uff12\u70b9\\(A(\\vec{a}),B(\\vec{b})\\)\u3092\u7d50\u3076\u7dda\u5206AB\u306b\u304a\u3044\u3066\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\\(\\vec{AQ}\\)\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{AQ}=\\frac{m}{m-n} \\vec{AB}\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{q}-\\vec{a}=\\frac{m}{m-n}(\\vec{b}-\\vec{a})\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{q}=(1-\\frac{m}{m-n})\\vec{a}+\\frac{m}{m-n}\\vec{b}\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{q}=\\frac{-n \\vec{a} + m \\vec{b}}{m-n}\\)<\/p>\n\n\n\n<p>\\(m \uff1c n\\)\u306e\u3068\u304d\\(\\vec{AQ}\\)\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{AQ}=\\frac{m}{n-m} \\vec{BA}=\\frac{m}{m-n} \\vec{AB}\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b\u3001\\(m\uff1en\\)\u306e\u3068\u304d\u3068\u540c\u69d8\u306b\u793a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle \\vec{q}=\\frac{-n \\vec{a} + m \\vec{b}}{m-n}\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"vector-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/h3>\n\n\n\n<p>\u5b9f\u969b\u306b\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb<\/h4>\n\n\n\n<p>2\u70b9A,B\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u304c\\(\\vec{a}=(2,6),\\vec{b}=(10,2)\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(3:5\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"736\" height=\"439\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb.png\" alt=\"\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\" class=\"wp-image-4578\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb.png 736w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb-300x179.png 300w\" sizes=\"(max-width: 736px) 100vw, 736px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(\\vec{a}=(2,6),\\vec{b}=(10,2)\\)\u306a\u306e\u3067\u3001\u70b9P\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\\(\\vec{p}\\)\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle \\vec{p}&amp;=&amp;\\frac{5\\vec{a}+3\\vec{b}}{3+5}\\\\<br>\\displaystyle&amp;=&amp;\\frac{5}{8}\\vec{a}+\\frac{3}{8}\\vec{b}\\\\<br>\\displaystyle&amp;=&amp;\\frac{5}{8}(2,6)+\\frac{3}{8}(10,2)\\\\<br>\\displaystyle&amp;=&amp;(\\frac{10}{8}+\\frac{30}{8},\\frac{30}{8}+\\frac{6}{8})<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u70b9P\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306f\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle \\vec{p}= (5,\\frac{9}{2})\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb<\/h4>\n\n\n\n<p>\u3064\u304e\u306f\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>2\u70b9A,B\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u304c\\(\\vec{a}=(2,5),\\vec{b}=(5,4)\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(2:1\\)\u306b\u5916\u5206\u3059\u308b\u70b9Q\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5185\u5206\u70b9\u306e\u5206\u6bcd\u306f\u6bd4\u7387\u3092\u8db3\u3057\u307e\u3057\u305f\u304c\u3001\u5916\u5206\u70b9\u3067\u306f\u5f15\u304d\u7b97\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"704\" height=\"441\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb.png\" alt=\"\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\" class=\"wp-image-4577\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb.png 704w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb-300x188.png 300w\" sizes=\"(max-width: 704px) 100vw, 704px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(\\vec{a}=(2,5),\\vec{b}=(5,4)\\)\u306a\u306e\u3067\u3001\u70b9Q\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\\(\\vec{q}\\)\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle \\vec{q}&amp;=&amp; \\frac{-\\vec{a}+2\\vec{b}}{2-1}\\\\<br>\\displaystyle&amp;=&amp;-\\vec{a}+2\\vec{b}\\\\<br>\\displaystyle&amp;=&amp;-(2,5)+2(5,4)\\\\<br>\\displaystyle&amp;=&amp;(-2+10,-5+8)<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u70b9Q\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306f\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle \\vec{q}= (8,3)\\)<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u5e73\u9762\u30d9\u30af\u30c8\u30eb\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5\">\u8907\u7d20\u6570\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/h2>\n\n\n\n<p><span class=\"huto\">\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u516c\u5f0f\u3092\u7d39\u4ecb\u3057\u305f\u3042\u3068\u306b\u3001\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u6c42\u3081\u308b\u7df4\u7fd2\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ol class=\"wp-block-list\">\n<li><a href=\"#hukusosuu-koushiki\">\u8907\u7d20\u6570\u5e73\u9762\u306b\u304a\u3051\u308b\u516c\u5f0f<\/a><\/li>\n\n\n\n<li><a href=\"#hukusosuu-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/a><\/li>\n\n\n\n<li><a href=\"#hukusosuu-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/a><\/li>\n<\/ol>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi6-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u8907\u7d20\u6570\u306e\u5185\u5206\u30fb\u5916\u5206\u304c\u30a4\u30e1\u30fc\u30b8\u3067\u304d\u306a\u304f\u3066\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"hukusosuu-koushiki\">\u8907\u7d20\u6570\u306e\u3068\u304d\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p>\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u6b21\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u8907\u7d20\u6570\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306e\u7570\u306a\u308b2\u70b9\\(A{\u03b1},B{\u03b2}\\)\u306b\u3064\u3044\u3066\u3001\u7dda\u5206\\(AB\\)\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u70b9P\u306e\u5ea7\u6a19<br>\\[\\dfrac{n\u03b1+m\u03b2}{m+n}\\]<br>\u70b9Q\u306e\u5ea7\u6a19<br>\\[\\dfrac{-n\u03b1+m\u03b2}{m-n}\\]<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"hukusosuu-syoumei\">\u516c\u5f0f\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u8907\u7d20\u6570\u5e73\u9762\u306b\u304a\u3051\u308b\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u306f\u30d9\u30af\u30c8\u30eb\u306b\u8fd1\u3044\u8003\u3048\u65b9\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u8907\u7d20\u6570\u5e73\u9762\u306e\u5185\u5206\u70b9\u3000\u8a3c\u660e<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"595\" height=\"439\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png\" alt=\"\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1\" class=\"wp-image-4579\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png 595w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1-300x221.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/figure>\n<\/div>\n\n\n<p>\uff12\u70b9\\(A(\u03b1),B(\u03b2)\\)\u3092\u7d50\u3076\u7dda\u5206\\(AB\\)\u306b\u304a\u3044\u3066\u3001\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u70b9P\u3092\u8868\u3059\u8907\u7d20\u6570\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\u03b1+ \\frac{m}{m+n}(\u03b2-\u03b1)\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=(1-\\frac{m}{m+n})\u03b1+ \\frac{m}{m+n}\u03b2\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{n\u03b1+m\u03b2}{m+n}\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u8907\u7d20\u6570\u5e73\u9762\u306e\u5916\u5206\u70b9\u3000\u8a3c\u660e<\/h4>\n\n\n\n<p>\u5916\u5206\u70b9\u3082\u540c\u3058\u3088\u3046\u306a\u8003\u3048\u65b9\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"639\" height=\"394\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png\" alt=\"\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1\" class=\"wp-image-4580\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1.png 639w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb1-300x185.png 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(m \uff1e n\\)\u306e\u3068\u304d\u3001\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306e\uff12\u70b9\\(A(\u03b1),B(\u03b2)\\)\u3092\u7d50\u3076\u7dda\u5206AB\u306b\u304a\u3044\u3066\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u70b9Q\u3092\u8868\u3059\u8907\u7d20\u6570\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\u03b1+ \\frac{m}{m-n}(\u03b2-\u03b1)\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=(1-\\frac{m}{m-n})\u03b1+ \\frac{m}{m-n}\u03b2\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{-n\u03b1+m\u03b2}{m-n}\\)<\/p>\n\n\n\n<p>\\(m \uff1c n\\)\u306e\u3068\u304d\u70b9Q\u306e\u8907\u7d20\u6570\u306f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\u03b1+ \\frac{m}{m-n}(\u03b2-\u03b1))\\)<\/p>\n\n\n\n<p>\u3086\u3048\u306b\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=(1-\\frac{m}{m-n}\u03b1+ \\frac{m}{m-n}\u03b2\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{-n\u03b1+m\u03b2}{m-n}\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"hukusosuu-rensyuu\">\u5b9f\u969b\u306b\u6c42\u3081\u3066\u307f\u308b<\/h3>\n\n\n\n<p>\u5b9f\u969b\u306b\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5185\u5206\u70b9\u306e\u8907\u7d20\u6570<\/h4>\n\n\n\n<p>\u8907\u6570\u5e73\u9762\u4e0a\u306e2\u70b9\\(A(\u03b1)=3+2i,B(\u03b2)=9+6i\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u3092\u8868\u3059\u8907\u7d20\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"576\" height=\"327\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91-.jpg\" alt=\"\u5185\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\" class=\"wp-image-1615\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91-.jpg 576w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5185\u5206\u70b91--300x170.jpg 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/figure>\n<\/div>\n\n\n<p>AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u306e\u3067<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{2\u03b1+3\u03b2}{3+2}\\)<\/p>\n\n\n\n<p>\\(A(\u03b1)=3+2i,B(\u03b2)=9+6i\\)\u3088\u308a<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{2(3+2i)+3(9+6i)}{5}\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{33+22i}{5}\\)<\/p>\n\n\n\n<p>\u7dda\u5206AB\u3092\\(3:2\\)\u306b\u5185\u5206\u3059\u308b\u70b9P\u3092\u8868\u3059\u8907\u7d20\u6570\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle z=\\frac{33+22i}{5}\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306e\u8907\u7d20\u6570<\/h4>\n\n\n\n<p>\u3064\u304e\u306f\u5916\u5206\u70b9\u306e\u8907\u7d20\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u8907\u6570\u5e73\u9762\u4e0a\u306e2\u70b9\\(A(\u03b1)=3+2i,B(\u03b2)=9+6i\\)\u306e\u3068\u304d\u3001\u7dda\u5206AB\u3092\\(5:2\\)\u306b\u5916\u5206\u3059\u308b\u70b9Q\u3092\u8868\u3059\u8907\u7d20\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5185\u5206\u70b9\u306e\u5206\u6bcd\u306f\u6bd4\u7387\u3092\u8db3\u3057\u307e\u3057\u305f\u304c\u3001\u5916\u5206\u70b9\u3067\u306f\u5f15\u304d\u7b97\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"575\" height=\"311\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93.jpg\" alt=\"\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\" class=\"wp-image-1621\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93.jpg 575w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5916\u5206\u70b93-300x162.jpg 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/figure>\n<\/div>\n\n\n<p>AB\u3092\\(5:2\\)\u306b\u5916\u5206\u3059\u308b\u306e\u3067<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{-2\u03b1+5\u03b2}{5-2}\\)<\/p>\n\n\n\n<p>\\(A(\u03b1)=3+2i,B(\u03b2)=9+6i)\u3088\u308a<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{-2(3+2i)+5(9+6i)}{3}\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\(\\displaystyle z=\\frac{39+26i}{3}\\)<\/p>\n\n\n\n<p>\u7dda\u5206AB\u3092\\(5:2\\)\u306b\u5916\u5206\u3059\u308b\u70b9Q\u3092\u8868\u3059\u8907\u7d20\u6570\u306f<\/p>\n\n\n\n<p>\\(\\displaystyle z=13+\\frac{26}{3}i\\)<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306e\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6\">\u3088\u304f\u3042\u308b\u9593\u9055\u3044<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"350\" height=\"320\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253.png\" alt=\"\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3068\u306f\" class=\"wp-image-7275\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253.png 350w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u8cea\u554f-e1632795860253-300x274.png 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u6c17\u3092\u4ed8\u3051\u308b\u3053\u3068\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ol class=\"wp-block-list\">\n<li>\\(x\\)\u3068\\(y\\)\u306f\u5225\u3067\u8003\u3048\u308b<\/li>\n\n\n\n<li>\u6bd4\u306f\u30af\u30ed\u30b9\u3057\u3066\u639b\u3051\u308b<\/li>\n\n\n\n<li>\u5916\u5206\u70b9\u306e\\(-n\\)\u306b\u6ce8\u610f<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">x\u3068y\u306f\u4e00\u7dd2\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u306a\u3044<\/h3>\n\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3092\u6c42\u3081\u308b\u3068\u304d\u3001\\(x\\)\u3068\\(y\\)\u3092\u4e00\u7dd2\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u306a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u304f\u3042\u308b\u9593\u9055\u3048\u3068\u3057\u3066\u3053\u3093\u306a\u30df\u30b9\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\[\\displaystyle[\\frac{nx_{1}+my_{1}}{m+n},\\frac{nx_{2}+my_{2}}{m+n})\\]<\/p>\n\n\n\n<p>\u3069\u3053\u304c\u9055\u3046\u304b\u5206\u304b\u308a\u307e\u3059\u304b\uff1f<br>\u6b63\u3057\u3044\u5185\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\u306f\u3053\u3061\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\[\\displaystyle [\\frac{nx_{1}+mx_{2}}{m+n},\\frac{ny_{1}+my_{2}}{m+n})\\]<\/p>\n\n\n\n<p>\\(x\\)\u5ea7\u6a19\u306f2\u70b9\u306e\\(x\\)\u540c\u58eb\u3067\u8a08\u7b97\u3057\u3066\u3001\\(y\\)\u5ea7\u6a19\u3082\\(y\\)\u540c\u58eb\u3067\u8a08\u7b97\u3059\u308b\u306e\u304c\u6b63\u89e3\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"582\" height=\"152\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u3048-e1618475945427.jpg\" alt=\"\u3088\u304f\u3042\u308b\u9593\u9055\u3048\" class=\"wp-image-4555\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u3048-e1618475945427.jpg 582w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u3048-e1618475945427-300x78.jpg 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">\u6bd4\u306f\u30af\u30ed\u30b9\u3057\u3066\u639b\u3051\u308b<\/h3>\n\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u308b\u3068\u304d\u3001\u5206\u5b50\u306b\u306f\u6bd4\u3092\u30af\u30ed\u30b9\u3057\u3066\u639b\u3051\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"403\" height=\"152\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30481-e1618476000937.jpg\" alt=\"\u3088\u304f\u3042\u308b\u9593\u9055\u3048\" class=\"wp-image-4556\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30481-e1618476000937.jpg 403w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30481-e1618476000937-300x113.jpg 300w\" sizes=\"(max-width: 403px) 100vw, 403px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">\u5916\u5206\u70b9\u306e-n\u306b\u6ce8\u610f<\/h3>\n\n\n\n<p>\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u306f\u3001\\(n\\)\u3067\u306f\u306a\u304f\\(-n\\)\u3092\u639b\u3051\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"584\" height=\"173\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30482.png\" alt=\"\" class=\"wp-image-4557\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30482.png 584w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u3088\u304f\u3042\u308b\u9593\u9055\u30482-300x89.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u3000\u307e\u3068\u3081<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"610\" height=\"134\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9.png\" alt=\"\" class=\"wp-image-4561\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9.png 610w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u6570\u76f4\u7dda\u4e0a\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9-300x66.png 300w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4eca\u56de\u306f\u5185\u5206\u70b9\u3068\u5916\u5206\u70b9\u306b\u3064\u3044\u3066\u3001\u3055\u307e\u3056\u307e\u306a\u5358\u5143\u306e\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u3082\u8907\u7d20\u6570\u3082\u8003\u3048\u65b9\u306f\u5ea7\u6a19\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u3068\u304a\u306a\u3058\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5ea7\u6a19\u5e73\u9762\u306e\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e\uff12\u70b9\\(A(x_{1},y_{1}),B(x_{2},y_{2})\\)\u306b\u3064\u3044\u3066\u3001\u7dda\u5206AB\u3092\\(m:n\\)\u306b\u5185\u5206\u3059\u308b\u70b9\u3092P\u3001\\(m:n\\)\u306b\u5916\u5206\u3059\u308b\u70b9\u3092Q\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\u70b9P\u306e\u5ea7\u6a19<\/p>\n\n\n\n<p>\\[\\displaystyle (\\frac{nx_{1}+mx_{2}}{m+n},\\frac{ny_{1}+my_{2}}{m+n})\\]<\/p>\n\n\n\n<p>\u70b9Q\u306e\u5ea7\u6a19<\/p>\n\n\n\n<p>\\[\\frac{-nx_{1}+mx_{2}}{m-n},\\frac{-ny_{1}+my_{2}}{m-n})\\]<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"red-hoso\">\u5185\u5206\u70b9\u306f\u6bd4\u7387\u306e\u548c\u3067\u3001\u5916\u5206\u70b9\u306f\u6bd4\u7387\u306e\u5dee\u306b\u306a\u306e\u3067\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n\n\n\n<p>\u307e\u305f\u3001\u5206\u5b50\u306f<span class=\"hutoaka\">\u5206\u6bcd\u306e\u9805\u3092\u30af\u30ed\u30b9\u3067\u639b\u3051\u308b\u306e\u3082\u91cd\u8981\u306a\u30dd\u30a4\u30f3\u30c8<\/span>\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"588\" height=\"198\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u307e\u3068\u3081.jpg\" alt=\"\u5185\u5206\u70b9\u3001\u5916\u5206\u70b9\u306e\u5ea7\u6a19\u516c\u5f0f\u3000\u307e\u3068\u3081\" class=\"wp-image-1618\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u307e\u3068\u3081.jpg 588w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u307e\u3068\u3081-300x101.jpg 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u3092\u899a\u3048\u3066\u3057\u307e\u3048\u3070\u3001\u305d\u308c\u305e\u308c\u306e\u5ea7\u6a19\u3082\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306e\u516c\u5f0f\u304c\u77e5\u308a\u305f\u3044\u300d \u300c\u516c\u5f0f\u306e\u4f7f\u3044\u65b9\u304c\u77e5\u308a\u305f\u3044\u300d \u56f3\u5f62\u306e\u5358\u5143\u304c\u82e6\u624b\u306a\u65b9\u306f\u5fc5\u898b\u3067\u3059\uff01 \u4eca\u56de\u306f\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u300c\u5185\u5206\u70b9\u300d\u300c\u5916\u5206\u70b9\u300d\u306f\u9ad8\u6821\u6570\u5b66\u3067\u4f55\u5ea6\u3082\u767b\u5834\u3059\u308b\u91cd\u8981\u306a\u70b9\u3067\u3059\u3002 \u5e73\u9762\u5ea7\u6a19\u3060\u3051 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4564,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[27,224],"tags":[26,14,11],"class_list":["post-1599","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-zukeihouteisiki","category-math-2","tag-26","tag-b","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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\u300c\u516c\u5f0f\u306e\u4f7f\u3044\u65b9\u304c\u77e5\u308a\u305f\u3044\u300d \u56f3\u5f62\u306e\u5358\u5143\u304c\u82e6\u624b\u306a\u65b9\u306f\u5fc5\u898b\u3067\u3059\uff01 \u4eca\u56de\u306f\u5185\u5206\u70b9\u30fb\u5916\u5206\u70b9\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u300c\u5185\u5206\u70b9\u300d\u300c\u5916\u5206\u70b9\u300d\u306f\u9ad8\u6821\u6570\u5b66\u3067\u4f55\u5ea6\u3082\u767b\u5834\u3059\u308b\u91cd\u8981\u306a\u70b9\u3067\u3059\u3002 \u5e73\u9762\u5ea7\u6a19\u3060\u3051 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-2\/internal-division\/\" \/>\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=\"2025-12-24T08:19:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-11T07:41:12+00:00\" \/>\n<meta property=\"og:image\" 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