{"id":68222,"date":"2025-06-24T10:49:26","date_gmt":"2025-06-24T01:49:26","guid":{"rendered":"https:\/\/adtechmanagement.com\/minnadepr-column\/?p=68222"},"modified":"2025-06-24T10:49:26","modified_gmt":"2025-06-24T01:49:26","slug":"law-of-sines","status":"publish","type":"post","link":"https:\/\/adtechmanagement.com\/minnadepr-column\/2025\/06\/24\/law-of-sines\/","title":{"rendered":"\u6b63\u5f26\u5b9a\u7406\u3068\u306f\uff1f\u516c\u5f0f\u30fb\u4f7f\u3044\u65b9\u30fb\u8a3c\u660e\u307e\u3067\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac"},"content":{"rendered":"<p>\u4e09\u89d2\u5f62\u306e\u8fba\u3068\u89d2\u306e\u95a2\u4fc2\u3092\u7d50\u3076\u300c\u6b63\u5f26\u5b9a\u7406\u300d\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3084\u56f3\u5f62\u306e\u8a08\u7b97\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u306a\u516c\u5f0f\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6b63\u5f26\u5b9a\u7406\u306e\u57fa\u672c\u7684\u306a\u610f\u5473\u304b\u3089\u5fdc\u7528\u4f8b\u3001\u3055\u3089\u306b\u306f\u305d\u306e\u8a3c\u660e\u65b9\u6cd5\u307e\u3067\u3092\u4e01\u5be7\u306b\u89e3\u8aac\u3057\u307e\u3059\u3002\u6570\u5b66\u306b\u82e6\u624b\u610f\u8b58\u306e\u3042\u308b\u65b9\u3067\u3082\u7406\u89e3\u3057\u3084\u3059\u3044\u69cb\u6210\u3067\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>1. \u6b63\u5f26\u5b9a\u7406\u3068\u306f<\/h2>\n<h3>1.1 \u4e09\u89d2\u5f62\u306b\u304a\u3051\u308b\u8fba\u3068\u89d2\u306e\u95a2\u4fc2<\/h3>\n<p>\u6b63\u5f26\u5b9a\u7406\u3068\u306f\u3001\u4efb\u610f\u306e\u4e09\u89d2\u5f62\u306b\u304a\u3044\u3066\u3001\u5404\u8fba\u306e\u9577\u3055\u3068\u305d\u306e\u5bfe\u89d2\u306e\u6b63\u5f26\u3068\u306e\u6bd4\u304c\u3059\u3079\u3066\u7b49\u3057\u304f\u306a\u308b\u3053\u3068\u3092\u793a\u3059\u516c\u5f0f\u3067\u3059\u3002\u3053\u306e\u516c\u5f0f\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u4e0e\u3048\u3089\u308c\u305f\u4e00\u90e8\u306e\u89d2\u3084\u8fba\u306e\u60c5\u5831\u304b\u3089\u3001\u4ed6\u306e\u89d2\u5ea6\u3084\u8fba\u306e\u9577\u3055\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e09\u89d2\u5f62ABC\u306b\u304a\u3044\u3066\u3001\u89d2A\u3001\u89d2B\u3001\u89d2C\u306e\u305d\u308c\u305e\u308c\u306e\u5bfe\u8fba\u3092a\u3001b\u3001c\u3068\u3057\u305f\u5834\u5408\u3001\u6b63\u5f26\u5b9a\u7406\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u2003\u2003a \/ sinA = b \/ sinB = c \/ sinC<\/p>\n<p>\u3053\u306e\u7b49\u5f0f\u306f\u3001\u3069\u306e\u3088\u3046\u306a\u5f62\u306e\u4e09\u89d2\u5f62\u3067\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u7279\u306b\u3001\u76f4\u89d2\u4e09\u89d2\u5f62\u3060\u3051\u3067\u306a\u304f\u920d\u89d2\u4e09\u89d2\u5f62\u306b\u3082\u9069\u7528\u3067\u304d\u308b\u70b9\u304c\u7279\u5fb4\u3067\u3059\u3002<\/p>\n<h3>1.2 \u6b63\u5f26\u5b9a\u7406\u306e\u5229\u7528\u5834\u9762<\/h3>\n<p>\u6b63\u5f26\u5b9a\u7406\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5834\u9762\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u4e09\u89d2\u5f62\u306e\u4e00\u90e8\u306e\u8fba\u3068\u89d2\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u3001\u4ed6\u306e\u8fba\u3084\u89d2\u3092\u6c42\u3081\u305f\u3044\u5834\u5408<\/p>\n<p>\u5929\u6587\u5b66\u3084\u6e2c\u91cf\u3067\u306e\u8ddd\u96e2\u3084\u89d2\u5ea6\u306e\u6e2c\u5b9a<\/p>\n<p>\u5730\u56f3\u4e0a\u306e\u4e09\u89d2\u6e2c\u91cf\u306b\u3088\u308b\u4f4d\u7f6e\u63a8\u5b9a<\/p>\n<p>\u7269\u7406\u306e\u30d9\u30af\u30c8\u30eb\u5206\u89e3\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u306e\u89e3\u6c7a<\/p>\n<p>\u6b63\u5f26\u5b9a\u7406\u306f\u8a08\u7b97\u306e\u52b9\u7387\u5316\u306b\u8ca2\u732e\u3057\u3001\u5e45\u5e83\u3044\u5206\u91ce\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>2. \u6b63\u5f26\u5b9a\u7406\u306e\u516c\u5f0f\u3068\u5177\u4f53\u4f8b<\/h2>\n<h3>2.1 \u6b63\u5f26\u5b9a\u7406\u306e\u516c\u5f0f\u306e\u78ba\u8a8d<\/h3>\n<p>\u518d\u5ea6\u3001\u6b63\u5f26\u5b9a\u7406\u306e\u516c\u5f0f\u3092\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u2003\u2003a \/ sinA = b \/ sinB = c \/ sinC<\/p>\n<p>\u3053\u3053\u3067\u3001a\u3001b\u3001c\u306f\u4e09\u89d2\u5f62\u306e\u8fba\u306e\u9577\u3055\u3001A\u3001B\u3001C\u306f\u305d\u308c\u305e\u308c\u306e\u8fba\u306b\u5bfe\u3059\u308b\u89d2\u5ea6\u3067\u3059\u3002\u3069\u306e2\u9805\u9593\u306e\u6bd4\u3067\u3082\u5229\u7528\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001a \/ sinA = b \/ sinB \u3092\u7528\u3044\u3066b\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h3>2.2 \u5177\u4f53\u7684\u306a\u4f8b\u984c<\/h3>\n<p>\u4f8b\u984c\uff1a \u4e09\u89d2\u5f62ABC\u306b\u304a\u3044\u3066\u3001a = 8cm\u3001A = 30\u00b0\u3001B = 45\u00b0\u306e\u3068\u304d\u3001\u8fbab\u306e\u9577\u3055\u3092\u6c42\u3081\u3088\u3002<\/p>\n<p>\u89e3\u6cd5\uff1a<\/p>\n<p>\u6b63\u5f26\u5b9a\u7406\u3088\u308a\u3001<\/p>\n<p>\u2003\u2003a \/ sinA = b \/ sinB<\/p>\n<p>\u2003\u20038 \/ sin30\u00b0 = b \/ sin45\u00b0<\/p>\n<p>\u2003\u20038 \/ 0.5 = b \/ 0.7071<\/p>\n<p>\u2003\u200316 = b \/ 0.7071<\/p>\n<p>\u2003\u2003b = 16 \u00d7 0.7071 \u2252 11.31<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u89d2\u5ea6\u3068\u8fba\u306e\u4e00\u90e8\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308c\u3070\u3001\u4ed6\u306e\u8fba\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>3. \u6b63\u5f26\u5b9a\u7406\u306e\u8a3c\u660e<\/h2>\n<h3>3.1 \u9ad8\u3055\u3092\u5229\u7528\u3057\u305f\u8a3c\u660e\u65b9\u6cd5<\/h3>\n<p>\u6b63\u5f26\u5b9a\u7406\u306e\u6700\u3082\u57fa\u672c\u7684\u306a\u8a3c\u660e\u306f\u3001\u4e09\u89d2\u5f62\u306b\u9ad8\u3055\u3092\u4e0b\u308d\u3059\u3053\u3068\u3067\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e09\u89d2\u5f62ABC\u306b\u304a\u3044\u3066\u3001\u70b9C\u304b\u3089\u8fbaAB\u306b\u5782\u7dda\u3092\u4e0b\u308d\u3057\u3066\u9ad8\u3055h\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3059\u308b\u3068\u3001\u4e09\u89d2\u5f62ABC\u306e\u9762\u7a4d\u306f\u6b21\u306e2\u901a\u308a\u3067\u8868\u305b\u307e\u3059\u3002<\/p>\n<p>\u2003\u2003\u9762\u7a4d = (1\/2) \u00d7 b \u00d7 h = (1\/2) \u00d7 a \u00d7 h \u00d7 sinC<\/p>\n<p>\u3053\u306e\u7b49\u5f0f\u304b\u3089\u3001\u9ad8\u3055h\u3092\u6d88\u53bb\u3057\u3066\u5404\u8fba\u3068\u89d2\u5ea6\u3092\u542b\u3080\u95a2\u4fc2\u5f0f\u304c\u5c0e\u3051\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u2003\u2003a \/ sinA = b \/ sinB = c \/ sinC<\/p>\n<p>\u3053\u306e\u65b9\u6cd5\u306f\u8996\u899a\u7684\u306b\u3082\u7406\u89e3\u3057\u3084\u3059\u304f\u3001\u5b66\u7fd2\u8005\u306b\u304a\u3059\u3059\u3081\u306e\u8a3c\u660e\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n<h3>3.2 \u5358\u4f4d\u5186\u3092\u7528\u3044\u305f\u8a3c\u660e<\/h3>\n<p>\u3088\u308a\u9ad8\u7b49\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u3068\u3057\u3066\u3001\u5358\u4f4d\u5186\u3092\u5229\u7528\u3057\u305f\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u4e09\u89d2\u5f62\u3092\u5ea7\u6a19\u5e73\u9762\u4e0a\u306b\u914d\u7f6e\u3057\u3001\u5404\u9802\u70b9\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u308b\u3053\u3068\u3067\u3001\u6b63\u5f26\u95a2\u6570\u306e\u5b9a\u7fa9\u304b\u3089\u95a2\u4fc2\u5f0f\u304c\u5c0e\u51fa\u3055\u308c\u307e\u3059\u3002\u9ad8\u6821\u6570\u5b66\u4ee5\u4e0a\u3067\u5b66\u3076\u624b\u6cd5\u3067\u3059\u304c\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u3068\u306e\u95a2\u4fc2\u304c\u660e\u78ba\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>4. \u6b63\u5f26\u5b9a\u7406\u3068\u4f59\u5f26\u5b9a\u7406\u306e\u9055\u3044<\/h2>\n<h3>4.1 \u4f59\u5f26\u5b9a\u7406\u3068\u306f<\/h3>\n<p>\u4f59\u5f26\u5b9a\u7406\u306f\u3001\u4e09\u89d2\u5f62\u306e2\u8fba\u3068\u305d\u306e\u9593\u306e\u89d2\u5ea6\u304b\u3089\u3001\u6b8b\u308a\u306e1\u8fba\u306e\u9577\u3055\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u516c\u5f0f\u3067\u3059\u3002\u4e09\u89d2\u5f62ABC\u306b\u304a\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u2003\u2003c\u00b2 = a\u00b2 + b\u00b2 \u2212 2ab cosC<\/p>\n<p>\u3053\u308c\u306f\u76f4\u89d2\u4e09\u89d2\u5f62\u306b\u9650\u3089\u305a\u3001\u4efb\u610f\u306e\u4e09\u89d2\u5f62\u306b\u5bfe\u3057\u3066\u4f7f\u3048\u308b\u70b9\u3067\u6b63\u5f26\u5b9a\u7406\u3068\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u4f7f\u7528\u6761\u4ef6\u304c\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>4.2 \u6b63\u5f26\u5b9a\u7406\u3068\u4f59\u5f26\u5b9a\u7406\u306e\u4f7f\u3044\u5206\u3051<\/h3>\n<p>\u6b63\u5f26\u5b9a\u7406\u306f\u300c\u89d2\u3068\u5bfe\u8fba\u300d\u304c\u30bb\u30c3\u30c8\u3067\u308f\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306b\u4fbf\u5229\u3067\u3059\u3002\u4e00\u65b9\u3001\u4f59\u5f26\u5b9a\u7406\u306f\u300c2\u8fba\u3068\u305d\u306e\u9593\u306e\u89d2\u300d\u307e\u305f\u306f\u300c3\u8fba\u306e\u9577\u3055\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u300d\u3068\u304d\u306b\u6709\u52b9\u3067\u3059\u3002\u554f\u984c\u306b\u5fdc\u3058\u3066\u4f7f\u3044\u5206\u3051\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n<h2>5. \u6b63\u5f26\u5b9a\u7406\u306e\u6ce8\u610f\u70b9\u3068\u8aa4\u89e3\u3057\u3084\u3059\u3044\u70b9<\/h2>\n<h3>5.1 \u6b63\u5f26\u306e\u591a\u4fa1\u6027\u306b\u3088\u308b\u6ce8\u610f<\/h3>\n<p>\u6b63\u5f26\u95a2\u6570\u306f\u540c\u3058\u5024\u3092\u6301\u3064\u89d2\u304c\u8907\u6570\u3042\u308b\u305f\u3081\u3001\u6b63\u5f26\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u89d2\u5ea6\u3092\u6c42\u3081\u305f\u5834\u5408\u3001\u305d\u306e\u89d2\u5ea6\u304c\u672c\u5f53\u306b\u4e09\u89d2\u5f62\u306e\u89d2\u3068\u3057\u3066\u6210\u7acb\u3059\u308b\u304b\u3069\u3046\u304b\u306e\u78ba\u8a8d\u304c\u5fc5\u8981\u3067\u3059\u3002\u7279\u306b\u3001\u920d\u89d2\u4e09\u89d2\u5f62\u3067\u306f\u89d2\u306e\u5927\u304d\u3055\u306b\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<h3>5.2 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