{"id":3154,"date":"2025-09-14T13:39:57","date_gmt":"2025-09-14T04:39:57","guid":{"rendered":"https:\/\/math-friend.com\/?p=3154"},"modified":"2025-09-14T13:40:01","modified_gmt":"2025-09-14T04:40:01","slug":"%e3%80%90%e6%9d%b1%e4%ba%ac%e5%a4%a7%e5%ad%a6%e5%85%a5%e8%a9%a6%e3%80%91%e3%82%ab%e3%83%bc%e3%83%89%e5%85%a5%e3%82%8c%e6%9b%bf%e3%81%88%e3%81%a7%e5%88%9d%e3%82%81%e3%81%a6%e5%85%a8%e5%90%8c%e8%89%b2","status":"publish","type":"post","link":"https:\/\/math-friend.com\/?p=3154","title":{"rendered":"\u3010\u6771\u4eac\u5927\u5b66\u5165\u8a66\u3011\u30ab\u30fc\u30c9\u5165\u308c\u66ff\u3048\u3067\u521d\u3081\u3066\u5168\u540c\u8272\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b(2008)"},"content":{"rendered":"\n<p>\u4eca\u56de\u306f\u3053\u3061\u3089\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059.<\/p>\n\n\n\n<p class=\"has-border -border02\">\u673a\u306e\u4e0a\u306b\u767d\u9ed2\\(2\\)\u7a2e\u985e\u306e\u30ab\u30fc\u30c9\u304c\u305f\u304f\u3055\u3093\u3042\u308a, \u767d\u9ed2\\(2\\)\u679a\u305a\u3064\u5408\u8a08\\(4\\)\u679a\u306e\u30ab\u30fc\u30c9\u3092\u624b\u3082\u3068\u306b\u6301\u3063\u3066\u3044\u308b\u3068\u3059\u308b. \u6b21\u306e\u64cd\u4f5cA\u3092\u8003\u3048\u308b.<br>\u64cd\u4f5cA: \u300c\u624b\u3082\u3068\u306e\\(4\\)\u679a\u306e\u30ab\u30fc\u30c9\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\\(1\\)\u679a\u306e\u30ab\u30fc\u30c9\u3092\u9078\u3073\u51fa\u3057, \u305d\u306e\u30ab\u30fc\u30c9\u3092\u673a\u306e\u4e0a\u306b\u3042\u308b\u9055\u3046\u8272\u306e\u30ab\u30fc\u30c9\u3068\u53d6\u308a\u66ff\u3048\u308b.\u300d<br>\u3053\u306e\u3068\u304d, \u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088.<br>(1) \u64cd\u4f5cA\u3092\\(4\\)\u56de\u7e70\u308a\u8fd4\u3057\u305f\u5f8c\u306b\u521d\u3081\u3066, \\(4\\)\u679a\u3068\u3082\u540c\u3058\u8272\u306e\u30ab\u30fc\u30c9\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<br>(2) \u64cd\u4f5cA\u3092\\(n\\)\u56de\u7e70\u308a\u8fd4\u3057\u305f\u5f8c\u306b\u521d\u3081\u3066, \\(4\\)\u679a\u3068\u3082\u540c\u3058\u8272\u306e\u30ab\u30fc\u30c9\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<br><span style=\"text-align:right;display:block;\">(2008 \u6771\u4eac\u5927\u5b66 \u6587\u7cfb [2])<\/span><\/p>\n\n\n\n<p>\u305d\u308c\u3067\u306f\u89e3\u3044\u3066\u3044\u304d\u307e\u3057\u3087\u3046.<\/p>\n\n\n\n<div class=\"wp-block-group is-style-crease\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>(1) \u64cd\u4f5cA\u3092\\(4\\)\u56de\u7e70\u308a\u8fd4\u3057\u305f\u5f8c\u306b\u521d\u3081\u3066\\(4\\)\u679a\u3068\u3082\u540c\u3058\u8272\u306e\u30ab\u30fc\u30c9\u306b\u306a\u308b\u306e\u306f, \u4ee5\u4e0b\u306e\\(4\\)\u30d1\u30bf\u30fc\u30f3\u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308b.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody style=\"--tbody-th-color--bg:var(--color_pale03);--tbody-th-color--txt:var(--swl-text_color--black)\"><tr><th><\/th><th>\\(1\\)\u56de\u76ee<\/th><th>\\(2\\)\u56de\u76ee<\/th><th>\\(3\\)\u56de\u76ee<\/th><th>\\(4\\)\u56de\u76ee<\/th><\/tr><tr><th>\u30d1\u30bf\u30fc\u30f31<\/th><td>\u767d (\u767d1, \u9ed23)<\/td><td>\u9ed2 (\u767d2, \u9ed22)<\/td><td>\u767d (\u767d1, \u9ed23)<\/td><td>\u767d (\u767d0, \u9ed24)<\/td><\/tr><tr><th>\u30d1\u30bf\u30fc\u30f32<\/th><td>\u767d (\u767d1, \u9ed23)<\/td><td>\u9ed2 (\u767d2, \u9ed22)<\/td><td>\u9ed2 (\u767d3, \u9ed21)<\/td><td>\u9ed2 (\u767d4, \u9ed20)<\/td><\/tr><tr><th>\u30d1\u30bf\u30fc\u30f33<\/th><td>\u9ed2 (\u767d3, \u9ed21)<\/td><td>\u767d (\u767d2, \u9ed22)<\/td><td>\u767d (\u767d1, \u9ed23)<\/td><td>\u767d (\u767d0, \u9ed24)<\/td><\/tr><tr><th>\u30d1\u30bf\u30fc\u30f34<\/th><td>\u9ed2 (\u767d3, \u9ed21)<\/td><td>\u767d (\u767d2, \u9ed22)<\/td><td>\u9ed2 (\u767d3, \u9ed21)<\/td><td>\u9ed2 (\u767d4, \u9ed20)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u5404\u30d1\u30bf\u30fc\u30f3\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f\u540c\u4e00\u3067\u305d\u308c\u305e\u308c,$$<br>\\frac{2}{4}\\times\\frac{3}{4}\\times\\frac{2}{4}\\times\\frac{1}{4}=\\frac{3}{64}<br>$$\u3067\u3042\u308a, \u5404\u30d1\u30bf\u30fc\u30f3\u306f\u4e92\u3044\u306b\u6392\u53cd\u306a\u306e\u3067\u6c42\u3081\u308b\u78ba\u7387\u306f,$$<br>4\\times \\frac{3}{64}=\\frac{3}{16}<br>$$\u3067\u3042\u308b.<\/p>\n\n\n\n<p>(2) \u64cd\u4f5cA\u3092\\(1\\)\u56de\u884c\u3063\u305f\u3068\u304d, \u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u306f\\(+1\\)\u306b\u306a\u308b\u304b, \\(-1\\)\u306b\u306a\u308b\u304b\u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308b\u304b\u3089, \u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u306f\u5076\u6570\u304b\u3089\u5947\u6570, \u307e\u305f\u306f\u5947\u6570\u304b\u3089\u5076\u6570\u306b\u5909\u5316\u3059\u308b. \u6700\u521d\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u306f\\(2\\)\u679a\u3067\u5076\u6570\u3067\u3042\u308b\u305f\u3081, \u64cd\u4f5cA\u3092\u5076\u6570\u56de\u884c\u3046\u3068\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u306f\u5076\u6570\u306b, \u5947\u6570\u56de\u884c\u3046\u3068\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u306f\u5947\u6570\u306b\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u64cd\u4f5cA\u3092\u5947\u6570\u56de\u884c\u3063\u305f\u3068\u304d\u306b\\(4\\)\u679a\u306e\u30ab\u30fc\u30c9\u304c\u5168\u3066\u540c\u3058\u8272\u306b\u306a\u308b\u3053\u3068\u304c\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308b. \u3064\u307e\u308a\\(n\\)\u304c\u5947\u6570\u306e\u3068\u304d, \u6c42\u3081\u308b\u78ba\u7387\u306f\\(0\\)\u3067\u3042\u308b.<br><br>\u6b21\u306b\\(n\\)\u304c\u5076\u6570\u306e\u3068\u304d\u3092\u8003\u3048\u308b. \u3053\u306e\u3068\u304d, \u81ea\u7136\u6570\\(k\\)\u3092\u7528\u3044\u3066\\(n=2k\\)\u3068\u8868\u305b\u308b. \u64cd\u4f5cA\u3092\\(n\\)\u56de\u7e70\u308a\u8fd4\u3057\u305f\u5f8c\u306b\u521d\u3081\u3066\\(4\\)\u679a\u3068\u3082\u540c\u3058\u8272\u306e\u30ab\u30fc\u30c9\u306b\u306a\u308b\u306e\u306f,<br>\u30fb\u767d\u2192\u9ed2 (\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u5909\u5316\u306f, 2\u21921\u21922)<br>\u307e\u305f\u306f<br>\u30fb\u9ed2\u2192\u767d (\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u5909\u5316\u306f, 2\u21923\u21922)<br>\u3092\\((k-1)\\)\u56de\u7e70\u308a\u8fd4\u3057, \u6700\u5f8c\u306b,<br>\u30fb\u767d\u2192\u767d (\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u5909\u5316\u306f, 2\u21921\u21920)<br>\u307e\u305f\u306f<br>\u30fb\u9ed2\u2192\u9ed2 (\u767d\u306e\u30ab\u30fc\u30c9\u306e\u679a\u6570\u5909\u5316\u306f, 2\u21923\u21924)<br>\u306e\u3044\u305a\u308c\u304b\u304c\u8d77\u3053\u308b\u3068\u304d\u3067\u3042\u308b.<br><br>\u767d\\(2\\)\u679a, \u9ed2\\(2\\)\u679a\u306e\u72b6\u614b\u304b\u3089, \u300c\u767d\u2192\u9ed2\u300d\u307e\u305f\u306f\u300c\u9ed2\u2192\u767d\u300d\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f,$$<br>\\frac{2}{4}\\times\\frac{3}{4}=\\frac{3}{8}<br>$$\u3067\u3042\u308a, \u300c\u767d\u2192\u767d\u300d\u307e\u305f\u306f\u300c\u9ed2\u2192\u9ed2\u300d\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f,$$<br>\\frac{2}{4}\\times\\frac{1}{4}=\\frac{1}{8}<br>$$\u3067\u3042\u308b\u304b\u3089, \u6c42\u3081\u308b\u78ba\u7387\u306f,$$<br>\\begin{align}<br>&amp;\\left(\\frac{3}{8+\\frac{3}{8}}\\right)^{k-1}\\times\\left(\\frac{1}{8}+\\frac{1}{8}\\right)\\\\[1.5ex]<br>&amp;=\\frac{1}{4}\\left(\\frac{3}{4}\\right)^{\\frac{n}{2}-1}<br>\\end{align}<br>$$\u3068\u306a\u308b.<br><\/p>\n<\/div><\/div>\n\n\n\n<p>youtube\u3067\u3082\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059.<\/p>\n\n\n\n<iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/euxV66aADFM?si=o57Yjy15lWVhmMe4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u56de\u306f\u3053\u3061\u3089\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059. \u673a\u306e\u4e0a\u306b\u767d\u9ed2\\(2\\)\u7a2e\u985e\u306e\u30ab\u30fc\u30c9\u304c\u305f\u304f\u3055\u3093\u3042\u308a, \u767d\u9ed2\\(2\\)\u679a\u305a\u3064\u5408\u8a08\\(4\\)\u679a\u306e\u30ab\u30fc\u30c9\u3092\u624b\u3082\u3068\u306b\u6301\u3063\u3066\u3044\u308b\u3068\u3059\u308b. \u6b21\u306e\u64cd\u4f5cA\u3092\u8003\u3048\u308b.\u64cd\u4f5cA: \u300c\u624b\u3082\u3068\u306e\\(4\\)\u679a\u306e\u30ab [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3156,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[6],"tags":[],"class_list":["post-3154","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tokimakuru"],"_links":{"self":[{"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/posts\/3154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math-friend.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3154"}],"version-history":[{"count":7,"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/posts\/3154\/revisions"}],"predecessor-version":[{"id":3162,"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/posts\/3154\/revisions\/3162"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math-friend.com\/index.php?rest_route=\/wp\/v2\/media\/3156"}],"wp:attachment":[{"href":"https:\/\/math-friend.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math-friend.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math-friend.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}