{"id":35699,"date":"2025-12-26T18:56:29","date_gmt":"2025-12-26T18:56:29","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=35699"},"modified":"2025-12-26T18:56:29","modified_gmt":"2025-12-26T18:56:29","slug":"%e5%8f%af%e9%99%a4%e6%80%a7%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e5%8f%af%e9%99%a4%e6%80%a7%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b\/","title":{"rendered":"\u53ef\u9664\u6027\u3068\u306f\u4f55\u304b\uff1f"},"content":{"rendered":"<style>\np, ul, ol{\ntext-align: justify;\n}\nh1{\ntext-align:center;\ntext-transform: uppercase;\n}\nh2{\ntext-align:center;\ntext-transform: uppercase;\nfont-size:24pt;\n}\nh3 { \n    text-align: center;\n    text-transform: uppercase;\n    font-size: 24px !important;\n}\n<\/style>\n<h1>\u53ef\u9664\u6027<\/h1>\n<p style=\"text-align:center;\"><em><br \/>\n<strong>\u53ef\u9664\u6027<\/strong>\u306f\u3001\u6574\u6570\u3092\u69cb\u9020\u3092\u3082\u3064\u4f53\u7cfb\u3078\u3068\u5909\u63db\u3059\u308b\u3068\u3044\u3046\u70b9\u306b\u304a\u3044\u3066\u3001\u6570\u8ad6\u306e\u5b9f\u8cea\u7684\u306a\u51fa\u767a\u70b9\u3067\u3042\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u6570\u3092\u5358\u306a\u308b\u300c\u91cf\u300d\u3068\u3057\u3066\u3067\u306f\u306a\u304f\u3001\u4e92\u3044\u306b\u9069\u5408\u3059\u308b\u304b\u5426\u304b\u3068\u3044\u3046\u89b3\u70b9\u304b\u3089\u6349\u3048\u308b\u3088\u3046\u306b\u306a\u308b\u3002\u5358\u4e00\u306e\u69cb\u9020\u3067\u3042\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u7c21\u7d04\u3084\u56e0\u6570\u5206\u89e3\u306e\u5224\u5b9a\u57fa\u6e96\u304b\u3089\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u3088\u3046\u306a\u624b\u7d9a\u304d\u306e\u4e2d\u6838\u306b\u81f3\u308b\u307e\u3067\u3092\u8868\u73fe\u3067\u304d\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5927\u304d\u306a\u6570\u306b\u5bfe\u3057\u3066\u3082\u6700\u5927\u516c\u7d04\u6570\u3092\u77ed\u6642\u9593\u3067\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u3055\u3089\u306b\u3001\u53ef\u9664\u6027\u306f\u3001\u5fdc\u7528\u6570\u5b66\u3084\u8a08\u7b97\u6a5f\u79d1\u5b66\u306b\u304a\u3044\u3066\u7e70\u308a\u8fd4\u3057\u73fe\u308c\u308b\u6982\u5ff5\u306e\u6280\u8853\u7684\u57fa\u76e4\u3067\u3082\u3042\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u5408\u540c\u3001\u5270\u4f59\u7b97\u8853\u3001\u691c\u8a3c\u3001\u7b26\u53f7\u5316\u3001\u305d\u3057\u3066\uff08\u5f8c\u306b\u6271\u3046\uff09\u6697\u53f7\u7406\u8ad6\u3067\u3042\u308b\u3002\u53ef\u9664\u6027\u3092\u7fd2\u5f97\u3059\u308b\u3053\u3068\u306f\u3001\u672c\u8cea\u7684\u306b\u306f\u3001\u6574\u6570\u306b\u6f5c\u3080\u4e0d\u53ef\u8996\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u898b\u629c\u304d\u3001\u305d\u308c\u3089\u3092\u5e38\u306b\u6a5f\u80fd\u3059\u308b\u624b\u7d9a\u304d\u3078\u3068\u5909\u63db\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3053\u3068\u306b\u4ed6\u306a\u3089\u306a\u3044\u3002<br \/>\n<\/em><\/p>\n<p style=\"text-align:center;\"><b>\u5b66\u7fd2\u76ee\u6a19<\/b><br \/>\n\u672c\u8cc7\u6599\u3092\u4fee\u4e86\u3057\u305f\u6642\u70b9\u3067\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u4e8b\u9805\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002\n<\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong>\uff1a\u6574\u6570\u9593\u306b\u304a\u3051\u308b\u53ef\u9664\u6027\u306e\u95a2\u4fc2\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong>\uff1a\u53ef\u9664\u6027\u306e\u5b9a\u7fa9\u304a\u3088\u3073\u305d\u306e\u6027\u8cea\u3002<\/li>\n<li><strong>\u5c55\u958b\u3059\u308b<\/strong>\uff1a\u53ef\u9664\u6027\u306b\u95a2\u9023\u3059\u308b\u7d50\u679c\u3084\u5b9a\u7406\u306e\u6570\u5b66\u7684\u8a3c\u660e\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><b><u>\u76ee\u6b21<\/u><\/b><br \/>\n<a href=\"#1\">\u53ef\u9664\u6027\u306e\u5b9a\u7fa9<\/a><br \/>\n<a href=\"#2\">\u53ef\u9664\u6027\u306e\u57fa\u672c\u7684\u6027\u8cea<\/a><br \/>\n<a href=\"#3\">\u6f14\u7fd2\u554f\u984c<\/a>\n<\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/HLrwdLse18U?si=tDiiV02P7ppdb4xF\" 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><br \/>\n<\/center><br \/>\n<a name=\"1\"><\/a><\/br><\/p>\n<h2>\u53ef\u9664\u6027\u306e\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\">\n\u300c<em>a \u304c b \u3092\u5272\u308a\u5207\u308b<\/em>\u300d\u3068\u3044\u3046\u975e\u5f62\u5f0f\u7684\u306a\u8003\u3048\u65b9\u306f\u3001\u305d\u308c\u3092\u6574\u6570\u9593\u306e\u95a2\u4fc2\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u3067\u53b3\u5bc6\u306a\u3082\u306e\u3068\u306a\u308b\u3002\u6574\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a<\/span><\/span> \u304c\u6574\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b<\/span><\/span> \u3092<strong>\u5272\u308a\u5207\u308b<\/strong>\u3068\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a<\/span><\/span> \u306e\u6b63\u78ba\u306a\u500d\u6570\u3068\u3057\u3066\u66f8\u3051\u308b\u5834\u5408\u3092\u3044\u3046\u3002\u3053\u306e\u5b9a\u7fa9\u306f\u672c\u8cc7\u6599\u5168\u4f53\u306e\u57fa\u790e\u3067\u3042\u308a\u3001\u300c\u6b63\u78ba\u306b\u5f53\u3066\u306f\u307e\u308b\u300d\u3068\u3044\u3063\u305f\u8868\u73fe\u3092\u3001\u691c\u8a3c\u53ef\u80fd\u306a\u57fa\u6e96\u3078\u3068\u5909\u63db\u3059\u308b\u3002\n<\/p>\n<p style=\"text-align: justify;\">\n<strong>\u5b9a\u7fa9.<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a,b\\in\\mathbb{Z}<\/span><\/span> \u3092 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span> \u3068\u3059\u308b\u3002<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b<\/span><\/span> \u3092\u5272\u308a\u5207\u308b\u3068\u306f\u3001\u304b\u3064\u305d\u306e\u3068\u304d\u306b\u9650\u308a\u3001\u3042\u308b\u6574\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k\\in\\mathbb{Z}<\/span><\/span> \u304c\u5b58\u5728\u3057\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b=ka<\/span><\/span> \u3068\u66f8\u3051\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u3068\u304d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u3068\u66f8\u304f\u3002\u305d\u3046\u3067\u306a\u3044\u5834\u5408\u306b\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\nmid b<\/span><\/span> \u3068\u66f8\u304f\u3002\n<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b := (\\exists k \\in \\mathbb{Z})(b = ka )<\/span>\n<p style=\"text-align: justify;\">\n\u3053\u306e\u5b9a\u7fa9\u306b\u304a\u3044\u3066\u3001\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u306f\u53ef\u9664\u6027\u306b\u5bfe\u5fdc\u3059\u308b<strong>\u5546<\/strong>\uff08\u307e\u305f\u306f\u56e0\u5b50\uff09\u3068\u547c\u3070\u308c\u308b\u3002\u4f8b\u3048\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">6\\mid 42<\/span><\/span> \u3068\u4e3b\u5f35\u3059\u308b\u3053\u3068\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">42=6k<\/span><\/span> \u3092\u6e80\u305f\u3059 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k\\in\\mathbb{Z}<\/span><\/span> \u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3053\u306e\u5834\u5408\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=7<\/span><\/span> \u3092\u53d6\u308c\u3070\u3088\u3044\u3002\n<\/p>\n<h3>\u91cd\u8981\u306a\u6ce8\u610f\u70b9<\/h3>\n<ul>\n<li>\n    \u6761\u4ef6 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span> \u306f\u672c\u8cea\u7684\u3067\u3042\u308b\u3002\u3068\u3044\u3046\u306e\u3082\u3001\u3082\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a=0<\/span><\/span> \u3092\u8a31\u305d\u3046\u3068\u3059\u308b\u3068\u3001\u53ef\u9664\u6027\u306e\u6761\u4ef6\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b=0\\cdot k<\/span><\/span> \u3092\u6e80\u305f\u3059 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k\\in\\mathbb{Z}<\/span><\/span> \u306e\u5b58\u5728\u3092\u8981\u6c42\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u3002\u3057\u304b\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\cdot k=0<\/span><\/span> \u306f\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6210\u308a\u7acb\u3064\u305f\u3081\u3001\u552f\u4e00\u306e\u53ef\u80fd\u6027\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b=0<\/span><\/span> \u3067\u3042\u308b\u3002\u3053\u306e\u5834\u5408\u3001\u95a2\u4fc2\u306b\u3088\u3063\u3066\u300c\u5b9a\u307e\u308b\u300d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u306f\u5b58\u5728\u305b\u305a\u3001\u4efb\u610f\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k\\in\\mathbb{Z}<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0=0\\cdot k<\/span><\/span> \u3092\u6e80\u305f\u3057\u3066\u3057\u307e\u3046\u3002\u5225\u306e\u8a00\u3044\u65b9\u3092\u3059\u308c\u3070\u3001\u975e\u5f62\u5f0f\u7684\u306a\u8868\u73fe <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=b\/a<\/span><\/span> \u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=0\/0<\/span><\/span> \u3068\u306a\u308a\u3001\u3053\u308c\u306f\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u306a\u3044\u3002\u3053\u306e\u3088\u3046\u306a\u9000\u5316\uff08\u5546\u306e\u6982\u5ff5\u304c\u610f\u5473\u3092\u5931\u3046\u72b6\u6cc1\uff09\u3092\u907f\u3051\u308b\u305f\u3081\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span> \u304c\u8981\u6c42\u3055\u308c\u308b\u3002\u3053\u306e\u7406\u7531\u306b\u3088\u308a\u3001\u95a2\u4fc2 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\mid b<\/span><\/span> \u306f\u6709\u52b9\u3068\u306f\u307f\u306a\u3055\u308c\u306a\u3044\u3002\n<\/li>\n<li>\n        \u4e00\u65b9\u3067\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid 0<\/span><\/span> \u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span> \u3092\u6e80\u305f\u3059\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\in\\mathbb{Z}<\/span><\/span> \u306b\u5bfe\u3057\u3066\u771f\u3067\u3042\u308b\u3002\u3068\u3044\u3046\u306e\u3082\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=0<\/span><\/span> \u3092\u53d6\u308c\u3070 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0=a\\cdot 0<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u304b\u3089\u3067\u3042\u308b\u3002\n    <\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\n\u3053\u306e\u5b9a\u7fa9\u304b\u3089\u3001\u4eca\u5f8c\u7e70\u308a\u8fd4\u3057\u7528\u3044\u308b\u540c\u5024\u6027\u304c\u5c0e\u304b\u308c\u308b\u3002\u3059\u306a\u308f\u3061\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a<\/span><\/span> \u306e\u6574\u6570\u500d\u5168\u4f53\u304b\u3089\u306a\u308b\u96c6\u5408\u306b\u5c5e\u3059\u308b\u3053\u3068\u3068\u540c\u5024\u3067\u3042\u308a\u3001\u3053\u308c\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b\\in a\\mathbb{Z}<\/span><\/span> \u3068\u66f8\u3051\u308b\u3002\u3053\u3053\u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mathbb{Z}=\\{ak:\\,k\\in\\mathbb{Z}\\}<\/span><\/span> \u3067\u3042\u308b\u3002\u3053\u306e\u66f8\u304d\u65b9\u306f\u3001\u53ef\u9664\u6027\u304c\u5358\u306a\u308b\u300c\u6280\u5de7\u300d\u3067\u306f\u306a\u304f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathbb{Z}<\/span><\/span> \u306e\u4e2d\u306b\u73fe\u308c\u308b\u9ad8\u5ea6\u306b\u69cb\u9020\u5316\u3055\u308c\u305f\u90e8\u5206\u96c6\u5408\u3092\u8a18\u8ff0\u3059\u308b\u65b9\u6cd5\u3067\u3042\u308b\u3053\u3068\u3092\u5f37\u8abf\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><a name=\"2\"><\/a><\/br><\/p>\n<h2>\u53ef\u9664\u6027\u306e\u57fa\u672c\u7684\u6027\u8cea<\/h2>\n<ul>\n<li><strong>\u53cd\u5c04\u6027:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid a<\/span><\/span>.<br \/>\n<u>\u8a3c\u660e<\/u>:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n(1)&amp;\\vdash a=ka \\leftrightarrow k=1 &amp;\\text{; }\\mathbb{Z}\\text{ \u306b\u304a\u3051\u308b\u4e57\u6cd5\u306e\u5358\u4f4d\u5143}\\\\\n\n(2)&amp;\\vdash(\\exists k \\in \\mathbb{Z})(a=ka) &amp;\\text{; \u5b58\u5728\u5c0e\u5165 (1)}\\\\\n\n(3) &amp;\\vdash a \\mid a &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9 (2)} \\\\\n\n&amp;\\blacksquare &amp;\n\n\\end{array}\n\n<\/span>\n<\/li>\n<li><strong>\u63a8\u79fb\u6027:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u304b\u3064 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b\\mid c<\/span><\/span> \u306a\u3089\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid c<\/span><\/span>.\n<p><u>\u8a3c\u660e<\/u>:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n(1)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k_1\\in\\mathbb{Z})(b=k_1a)  &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a}\\\\\n\n(2)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k_2\\in\\mathbb{Z})(c=k_2b)  &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a}\\\\\n\n(3)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k_1,k_2\\in\\mathbb{Z})(b=k_1a \\wedge c=k_2b)  &amp;\\text{; }\\exists\\text{-\u5727\u7e2e(1,2)}\\\\\n\n(4)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k_1,k_2\\in\\mathbb{Z})(k_2b=k_1k_2a \\wedge c=k_2b)  &amp;\\text{; (3)\u3088\u308a}\\\\\n\n(5)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k_1,k_2\\in\\mathbb{Z})( c=k_1k_2a)  &amp;\\text{; (4)\u3088\u308a}\\\\\n\n&amp;\\text{\u91cf\u5316\u5b50\u5185\u3067\u306e\u4ee3\u6570\u7684\u64cd\u4f5c}&amp; \\\\\n\n(6)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash (\\exists k\\in\\mathbb{Z})( c=ka)  &amp;\\text{; (5)\u3088\u308a}\\\\\n\n&amp;\\text{\u4e57\u6cd5\u306b\u95a2\u3059\u308b }\\mathbb{Z}\\text{ \u306e\u9589\u6027}&amp; \\\\\n\n(7)&amp; \\{a\\mid b ,  b\\mid c\\} \\vdash a\\mid c  &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9 (6)}\\\\\n\n(8)&amp; \\vdash (a\\mid b \\wedge  b\\mid c) \\rightarrow  a\\mid c  &amp;\\text{; }\\wedge\\text{-\u9664\u53bb(7)}\\\\\n\n&amp;\\blacksquare&amp;\n\n\\end{array}\n\n<\/span>\n<\/li>\n<li><strong>\u52a0\u6cd5\u304a\u3088\u3073\u6e1b\u6cd5\u3068\u306e\u4e21\u7acb\u6027:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u304b\u3064 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid c<\/span><\/span> \u306a\u3089\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid (b+c)<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid (b-c)<\/span><\/span>.<br \/>\n<u>\u8a3c\u660e<\/u>:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rll}\n\n(1)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k_1 \\in \\mathbb{Z})(b=k_1 a) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a}\\\\\n\n(2)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k_2 \\in \\mathbb{Z})(c=k_2 a) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a}\\\\\n\n(3)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k_1, k_2 \\in \\mathbb{Z})(b=k_1 a \\wedge c=k_2 a) &amp;\\text{; }\\exists\\text{-\u5727\u7e2e(1,2)}\\\\\n\n(4)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k_1, k_2 \\in \\mathbb{Z})(b+c= (k_1+k_2)a) &amp;\\text{; (3)\u3088\u308a}\\\\\n\n&amp;\\text{\u91cf\u5316\u5b50\u5185\u3067\u306e\u4ee3\u6570\u7684\u64cd\u4f5c}&amp; \\\\\n\n(5)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k \\in \\mathbb{Z})(b+c= ka) &amp;\\text{; (4)\u3088\u308a}\\\\\n\n&amp;\\text{\u52a0\u6cd5\u306b\u95a2\u3059\u308b }\\mathbb{Z}\\text{ \u306e\u9589\u6027}&amp; \\\\\n\n(6)&amp;\\{a\\mid b, a\\mid c\\}\\vdash a\\mid (b+c) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9 (5)}\\\\\n\n(7)&amp;\\vdash (a\\mid b \\wedge a\\mid c) \\rightarrow a\\mid (b+c) &amp;\\text{; }\\wedge\\text{-\u9664\u53bb(6)}\\\\\n\n(8)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists k_1, k_2 \\in \\mathbb{Z})(b-c= (k_1-k_2)a) &amp;\\text{; (3)\u3088\u308a}\\\\\n\n&amp;\\text{\u91cf\u5316\u5b50\u5185\u3067\u306e\u4ee3\u6570\u7684\u64cd\u4f5c}&amp; \\\\\n\n(9)&amp;\\{a\\mid b, a\\mid c\\}\\vdash (\\exists \\overline{k} \\in \\mathbb{Z})(b-c= \\overline{k}a) &amp;\\text{; (8)\u3088\u308a}\\\\\n\n&amp;\\text{\u6e1b\u6cd5\u306b\u95a2\u3059\u308b }\\mathbb{Z}\\text{ \u306e\u9589\u6027}&amp; \\\\\n\n(10)&amp;\\{a\\mid b, a\\mid c\\}\\vdash a\\mid (b-c) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9 (9)}\\\\\n\n(11)&amp;\\vdash (a\\mid b \\wedge a\\mid c) \\rightarrow a\\mid (b-c) &amp;\\text{; }\\wedge\\text{-\u9664\u53bb(10)}\\\\\n\n(12)&amp;\\vdash (a\\mid b \\wedge a\\mid c) \\rightarrow \\left(a\\mid (b+c) \\wedge a\\mid (b-c)\\right) &amp;\\text{; \u7d50\u8ad6\u306b\u304a\u3051\u308b }\\wedge\\text{-\u5c0e\u5165(7,11) }\\\\\n\n&amp;\\blacksquare&amp;\n\n\\end{array}<\/span>\n<\/li>\n<li><strong>\u7a4d\u3068\u306e\u4e21\u7acb\u6027:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u306a\u3089\u3070\u3001\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c\\in\\mathbb{Z}<\/span><\/span> \u306b\u5bfe\u3057\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid (bc)<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3002<br \/>\n<u>\u8a3c\u660e<\/u>:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n(1)&amp; \\{a\\mid b\\}\\vdash (\\exists k\\in\\mathbb{Z})(b=ka) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a}\\\\\n\n(2)&amp; \\{a\\mid b\\}\\vdash \\left(\\forall c \\in \\mathbb{Z}\\right) (\\exists k\\in\\mathbb{Z})(cb=cka) &amp;\\text{; (1)\u3088\u308a\uff0c}\\forall\\text{-\u5c0e\u5165 (}c\\text{ \u4efb\u610f)}\\\\\n\n&amp;\\text{\u5b58\u5728\u91cf\u5316\u5b50\u5185\u3067\u306e }\\mathbb{Z}\\text{ \u306e\u4ee3\u6570\u7684\u64cd\u4f5c}&amp;\\\\\n\n(3)&amp; \\{a\\mid b\\}\\vdash \\left(\\forall c \\in \\mathbb{Z}\\right) (\\exists \\overline{k}\\in\\mathbb{Z})(cb=\\overline{k}a) &amp;\\text{; (2)\u3088\u308a\uff0c\u9589\u6027: }\\overline{k}=ck\\\\\n\n(4)&amp; \\{a\\mid b\\}\\vdash \\left(\\forall c \\in \\mathbb{Z}\\right) (a \\mid cb) &amp;\\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9 (3)}\\\\\n\n(5)&amp; \\vdash a\\mid b \\rightarrow \\left(\\forall c \\in \\mathbb{Z}\\right) (a \\mid cb) &amp;\\text{; \u63a8\u8ad6\u898f\u5247(4)}\\\\\n\n&amp;\\blacksquare&amp;\n\n\\end{array}\n\n<\/span>\n<\/li>\n<\/ul>\n<h3><b>\u5b9a\u7406:<\/b> \u9664\u6570\u306e\u4e0a\u754c<\/h3>\n<p style=\"text-align: justify;\">\n<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b\\neq 0<\/span><\/span> \u304b\u3064 <span dir=\"ltr\"> <span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u3067\u3042\u308b\u306a\u3089\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">|a|\\le |b|<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3002\n<\/p>\n<p><b>\u8a3c\u660e:<\/b><\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rll}\n\n(1) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash b \\neq 0\n\n&amp; \\text{; \u4eee\u5b9a} \\\\\n\n(2) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash (\\exists k \\in \\mathbb{Z}) (b=ka)\n\n&amp; \\text{; \u53ef\u9664\u6027\u306e\u5b9a\u7fa9\uff0c\u4eee\u5b9a} \\\\\n\n(3) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash (\\exists k \\in \\mathbb{Z}) (|b|=|k||a|)\n\n&amp; \\text{; \u7d76\u5bfe\u5024\u306e\u6027\u8cea\uff0c(2)\u3088\u308a} \\\\\n\n(4) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash (\\exists k \\in \\mathbb{Z}) (k\\neq 0 \\wedge |b|=|k||a|)\n\n&amp; \\text{; (1),(3)\u3088\u308a} \\\\\n\n(5) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash (\\exists k \\in \\mathbb{Z}) (1\\le |k| \\wedge |b|=|k||a|)\n\n&amp; \\text{; (4)\u3088\u308a\uff0c}k\\neq 0\\Rightarrow |k|\\ge 1 \\\\\n\n(6) &amp;\\{b\\in \\mathbb{Z}\\setminus\\{0\\} , a\\mid b\\}\\vdash |a|\\le |b|\n\n&amp; \\text{; (5)\u3088\u308a} \\\\\n\n&amp;\\blacksquare&amp;\n\n\\end{array}\n\n<\/span>\n<p><a name=\"3\"><\/a><\/br><\/p>\n<h2>\u6f14\u7fd2\u554f\u984c<\/h2>\n<ol>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b=0<\/span><\/span> \u306e\u5834\u5408\u3001\u5b9a\u7406\u300c\u9664\u6570\u306e\u4e0a\u754c\u300d\u304c\u5fc5\u305a\u3057\u3082\u6210\u308a\u7acb\u305f\u306a\u3044\u3053\u3068\u3092\u793a\u305b\u3002<\/li>\n<li>\u96c6\u5408 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u3068\u3001\u305d\u306e\u4e0a\u306e\u95a2\u4fc2 <span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span> \u3092\u8003\u3048\u308b\u3002\u8981\u7d20 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x,y\\in A<\/span><\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span> \u306b\u3088\u3063\u3066\u95a2\u4fc2\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\u3068\u304d\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\rho y<\/span><\/span> \u3068\u66f8\u304f\u3002\u95a2\u4fc2 <span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u4e0a\u306e<strong>\u534a\u9806\u5e8f<\/strong>\u3067\u3042\u308b\u3068\u306f\u3001\u6b21\u3092\u6e80\u305f\u3059\u3053\u3068\u3092\u3044\u3046\u3002\n<p>a)<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall x\\in A) (x\\rho x)<\/span><\/span>,<br \/>\nb) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall x,y\\in A) ( (x\\rho y \\wedge y\\rho x) \\rightarrow x=y)<\/span><\/span><br \/>\nc) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall x,y,z\\in A) ( (x\\rho y \\wedge y\\rho z) \\rightarrow x\\rho z)<\/span><\/span>.<\/p>\n<p>\u53ef\u9664\u6027\u306e\u95a2\u4fc2\u304c\u3001\u6574\u6570\u5168\u4f53\u306e\u96c6\u5408\u4e0a\u3067\u534a\u9806\u5e8f\u95a2\u4fc2\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u305b\u3088\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b_1, a\\mid b_2, \\cdots, a\\mid b_n<\/span><\/span> \u3067\u3042\u308b\u306a\u3089\u3070\u3001\u4efb\u610f\u306e\u96c6\u5408 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{x_i\\}_{i=1}^n \\subset \\mathbb{Z}<\/span><\/span> \u306b\u5bfe\u3057\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid \\sum_{i=1}^n b_i x_i<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u5e30\u7d0d\u6cd5\u306b\u3088\u308a\u8a3c\u660e\u305b\u3088\u3002\u3055\u3089\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b_i<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">i\\in \\{1,2,3,\\cdots, n\\}<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6210\u308a\u7acb\u3061\u3001\u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">c<\/span> \u304c\u305d\u308c\u3089\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b_i<\/span><\/span> \u306e\u7dda\u5f62\u7d50\u5408\u3068\u3057\u3066\u8868\u3055\u308c\u308b\u3068\u304d\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid c<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u305b\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span> \u306e\u3068\u304d\u3001\u96c6\u5408 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{x\\;:\\; d\\mid a\\}<\/span><\/span> \u304c\u6709\u9650\u96c6\u5408\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u305b\u3002<\/li>\n<li>\u56fa\u5b9a\u3057\u305f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\in\\mathbb{Z}^+<\/span><\/span> \u306b\u5bfe\u3057\uff0c\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">S=\\{d\\,:\\,d\\in\\mathbb{Z}^+ \\wedge d\\mid n\\}<\/span>\n<p>\u3068\u304a\u304f\u3002\u6b21\u3092\u8a3c\u660e\u305b\u3088\u3002<\/p>\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">d\\in S \\leftrightarrow n\/d\\in S<\/span><\/span><\/li>\n<li type=\"a\">\u96c6\u5408 <span class=\"katex-eq\" data-katex-display=\"false\">S<\/span> \u306e\u8981\u7d20\u3092\u6607\u9806\u306b\u4e26\u3079\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1=d_1 \\lt d_2 \\lt \\cdots \\lt d_t =n<\/span><\/span> \u3068\u3059\u308b\u3068\u304d\u3001\u5bfe\u5fdc\u3059\u308b\u8981\u7d20 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\mid d_i<\/span><\/span>\uff08<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">i \\in \\{1,2,\\cdots, t\\}<\/span><\/span>\uff09\u306f\u964d\u9806\u306b\u4e26\u3076\u3053\u3068\u3092\u793a\u305b\u3002<\/li>\n<\/ol>\n<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a,b\\in\\mathbb{Z}^+<\/span><\/span> \u304b\u3064 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">ab=c<\/span><\/span> \u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\min\\{a,b\\}\\le \\sqrt{c}<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u305b\u3088\u3002<\/li>\n<li>\u6574\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2\\mid n<\/span><\/span> \u3092\u6e80\u305f\u3059\u3068\u304d\u5076\u6570\u3068\u3044\u3044\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2\\nmid n<\/span><\/span> \u3092\u6e80\u305f\u3059\u3068\u304d\u5947\u6570\u3068\u3044\u3046\u3002\u6b21\u306b\u3064\u3044\u3066\u8a3c\u660e\u305b\u3088\u3002\n<ol>\n<li type=\"a\">\u4e8c\u3064\u306e\u5076\u6570\u306e\u548c\u304a\u3088\u3073\u5dee\u306f\u5076\u6570\u3067\u3042\u308b\u3002<\/li>\n<li type=\"a\">\u4e8c\u3064\u306e\u5947\u6570\u306e\u548c\u304a\u3088\u3073\u5dee\u306f\u5076\u6570\u3067\u3042\u308b\u3002<\/li>\n<li type=\"a\">\u4e00\u3064\u306e\u5076\u6570\u3068\u4e00\u3064\u306e\u5947\u6570\u306e\u548c\u304a\u3088\u3073\u5dee\u306f\u5947\u6570\u3067\u3042\u308b\u3002<\/li>\n<\/ol>\n<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\pm 1<\/span><\/span> \u3068\u306f\u7570\u306a\u308b\u5947\u6570\u3067\u3042\u308b\u3068\u304d\u3001<span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306f\u9023\u7d9a\u3059\u308b\u4e8c\u3064\u306e\u5076\u6570\u3092\u540c\u6642\u306b\u5272\u308a\u5207\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3053\u3068\u3092\u8a3c\u660e\u305b\u3088\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a,b,n\\in\\mathbb{Z}<\/span><\/span> \u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">|a-b|\\lt |n|<\/span><\/span> \u3092\u6e80\u305f\u3059\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u3082 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u3082\u5272\u308a\u5207\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3053\u3068\u3092\u8a3c\u660e\u305b\u3088\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\in\\mathbb{Z}<\/span><\/span> \u3068\u3059\u308b\u3002\u6b21\u3092\u8a3c\u660e\u305b\u3088\u3002\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall n \\in \\mathbb{Z})(a\\mid n) \\leftrightarrow a=\\pm 1<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\forall n \\in \\mathbb{Z})(n\\mid a) \\leftrightarrow a=0<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a,b,c\\in\\mathbb{Z}<\/span><\/span> \u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c\\neq 0<\/span><\/span> \u3068\u3059\u308b\u3002<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">ac\\mid bc<\/span><\/span> \u306a\u3089\u3070 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\mid b<\/span><\/span> \u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u305b\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u53ef\u9664\u6027 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\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u7c21\u7d04\u3084\u56e0\u6570\u5206\u89e3\u306e\u5224\u5b9a\u57fa\u6e96\u304b\u3089\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u3088\u3046\u306a\u624b\u7d9a\u304d\u306e\u4e2d\u6838\u306b\u81f3\u308b\u307e\u3067\u3092\u8868\u73fe\u3067\u304d\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5927\u304d\u306a\u6570\u306b\u5bfe\u3057\u3066\u3082\u6700\u5927\u516c\u7d04\u6570\u3092\u77ed\u6642\u9593\u3067\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u3055\u3089\u306b\u3001\u53ef\u9664\u6027\u306f\u3001\u5fdc\u7528\u6570\u5b66\u3084\u8a08\u7b97\u6a5f\u79d1\u5b66\u306b\u304a\u3044\u3066\u7e70\u308a\u8fd4\u3057\u73fe\u308c\u308b\u6982\u5ff5\u306e\u6280\u8853\u7684\u57fa\u76e4\u3067\u3082\u3042\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u5408\u540c\u3001\u5270\u4f59\u7b97\u8853\u3001\u691c\u8a3c\u3001\u7b26\u53f7\u5316\u3001\u305d\u3057\u3066\uff08\u5f8c\u306b\u6271\u3046\uff09\u6697\u53f7\u7406\u8ad6\u3067\u3042\u308b\u3002\u53ef\u9664\u6027\u3092\u7fd2\u5f97\u3059\u308b\u3053\u3068\u306f\u3001\u672c\u8cea\u7684\u306b\u306f\u3001\u6574\u6570\u306b\u6f5c\u3080\u4e0d\u53ef\u8996\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u898b\u629c\u304d\u3001\u305d\u308c\u3089\u3092\u5e38\u306b\u6a5f\u80fd\u3059\u308b\u624b\u7d9a\u304d\u3078\u3068\u5909\u63db\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3053\u3068\u306b\u4ed6\u306a\u3089\u306a\u3044\u3002 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\u3092\u5272\u308a\u5207\u308b\u300d\u3068\u3044\u3046\u975e\u5f62\u5f0f\u7684\u306a\u8003\u3048\u65b9\u306f\u3001\u305d\u308c\u3092\u6574\u6570\u9593\u306e\u95a2\u4fc2\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u3067\u53b3\u5bc6\u306a\u3082\u306e\u3068\u306a\u308b\u3002\u6574\u6570 \u304c\u6574\u6570 \u3092\u5272\u308a\u5207\u308b\u3068\u306f\u3001 \u304c \u306e\u6b63\u78ba\u306a\u500d\u6570\u3068\u3057\u3066\u66f8\u3051\u308b\u5834\u5408\u3092\u3044\u3046\u3002\u3053\u306e\u5b9a\u7fa9\u306f\u672c\u8cc7\u6599\u5168\u4f53\u306e\u57fa\u790e\u3067\u3042\u308a\u3001\u300c\u6b63\u78ba\u306b\u5f53\u3066\u306f\u307e\u308b\u300d\u3068\u3044\u3063\u305f\u8868\u73fe\u3092\u3001\u691c\u8a3c\u53ef\u80fd\u306a\u57fa\u6e96\u3078\u3068\u5909\u63db\u3059\u308b\u3002 \u5b9a\u7fa9. \u3092 \u3068\u3059\u308b\u3002 \u304c \u3092\u5272\u308a\u5207\u308b\u3068\u306f\u3001\u304b\u3064\u305d\u306e\u3068\u304d\u306b\u9650\u308a\u3001\u3042\u308b\u6574\u6570 \u304c\u5b58\u5728\u3057\u3066 \u3068\u66f8\u3051\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u3068\u304d \u3068\u66f8\u304f\u3002\u305d\u3046\u3067\u306a\u3044\u5834\u5408\u306b\u306f \u3068\u66f8\u304f\u3002 \u3053\u306e\u5b9a\u7fa9\u306b\u304a\u3044\u3066\u3001\u6570 \u306f\u53ef\u9664\u6027\u306b\u5bfe\u5fdc\u3059\u308b\u5546\uff08\u307e\u305f\u306f\u56e0\u5b50\uff09\u3068\u547c\u3070\u308c\u308b\u3002\u4f8b\u3048\u3070\u3001 \u3068\u4e3b\u5f35\u3059\u308b\u3053\u3068\u306f\u3001 \u3092\u6e80\u305f\u3059 \u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3053\u306e\u5834\u5408\u3001 \u3092\u53d6\u308c\u3070\u3088\u3044\u3002 \u91cd\u8981\u306a\u6ce8\u610f\u70b9 \u6761\u4ef6 \u306f\u672c\u8cea\u7684\u3067\u3042\u308b\u3002\u3068\u3044\u3046\u306e\u3082\u3001\u3082\u3057 \u3092\u8a31\u305d\u3046\u3068\u3059\u308b\u3068\u3001\u53ef\u9664\u6027\u306e\u6761\u4ef6\u306f \u3092\u6e80\u305f\u3059 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