{"id":1175,"date":"2024-04-23T20:18:48","date_gmt":"2024-04-23T11:18:48","guid":{"rendered":"https:\/\/tale-sci.online\/?p=1175"},"modified":"2024-04-24T07:53:52","modified_gmt":"2024-04-23T22:53:52","slug":"geogebra%e3%81%ae%e3%82%aa%e3%83%96%e3%82%b8%e3%82%a7%e3%82%af%e3%83%88%e3%82%92%e5%ad%a6%e3%81%bc%e3%81%862","status":"publish","type":"post","link":"https:\/\/tale-sci.online\/?p=1175","title":{"rendered":"GeoGebra\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u5b66\u307c\u3046(2)"},"content":{"rendered":"\n<p>\u524d\u56de\u306e\u8a18\u4e8b\u304b\u3089\u3001GeoGebra\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u306a\u304a\u3001\u3053\u306e\u8a18\u4e8b\u306f<a href=\"https:\/\/wiki.geogebra.org\/en\/General_Objects\">GeoGebra\u516c\u5f0f\u30b5\u30a4\u30c8(\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u95a2\u9023\u30da\u30fc\u30b8)<\/a>\u3092\u3082\u3068\u306b\u4f5c\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u524d\u56de\u306f\u300c\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3068\u306f\u305d\u3082\u305d\u3082\u4f55\u306a\u306e\u304b\uff1f\u300d\u3001\u300c\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u306f\u3069\u3093\u306a\u7a2e\u985e\u304c\u3042\u308b\u306e\u304b\uff1f\u300d\u3068\u3044\u3046\u70b9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/tale-sci.online\/?p=1111\n<\/div><\/figure>\n\n\n\n<p>\u524d\u56de\u306e\u8a18\u4e8b\u3067\u306f\u3001<span class=\"marker\">GeoGebra\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u306f\u4e00\u822c\u7684\u306a\u3082\u306e\u3068\u5e7e\u4f55\u5b66\u7684\u306a\u3082\u306e\u306e2\u7a2e\u985e\u304c\u3042\u308b<\/span>\u3068\u8ff0\u3079\u307e\u3057\u305f\u3002\u3053\u308c\u304b\u3089\u306e2\u3064\u306e\u8a18\u4e8b\u3067\u306f\u4e00\u822c\u7684\u306a\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<span class=\"marker2\">1\u3064\u76ee\u306e\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6570\u5024\u3001\u89d2\u5ea6\u3001\u8907\u7d20\u6570\u3001\u30d6\u30fc\u30ea\u30a2\u30f3\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u76ee\u6b21<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E4%B8%80%E8%88%AC%E7%9A%84%E3%81%AA%E3%82%AA%E3%83%96%E3%82%B8%E3%82%A7%E3%82%AF%E3%83%88\" >\u4e00\u822c\u7684\u306a\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E6%95%B0%E5%80%A4\" >\u6570\u5024<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E5%85%A5%E5%8A%9B%E4%BE%8B\" >\u5165\u529b\u4f8b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E3%82%AA%E3%83%96%E3%82%B8%E3%82%A7%E3%82%AF%E3%83%88%E3%81%AE%E5%91%BD%E5%90%8D\" >\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u547d\u540d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E6%95%B0%E5%80%A4%E3%81%AE%E5%A4%89%E6%9B%B4%E3%81%A8%E3%82%B9%E3%83%A9%E3%82%A4%E3%83%80%E3%83%BC\" >\u6570\u5024\u306e\u5909\u66f4\u3068\u30b9\u30e9\u30a4\u30c0\u30fc<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E8%A7%92%E5%BA%A6\" >\u89d2\u5ea6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E8%A4%87%E7%B4%A0%E6%95%B0\" >\u8907\u7d20\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E3%83%96%E3%83%BC%E3%83%AA%E3%82%A2%E3%83%B3\" >\u30d6\u30fc\u30ea\u30a2\u30f3<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/tale-sci.online\/?p=1175\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%B8%80%E8%88%AC%E7%9A%84%E3%81%AA%E3%82%AA%E3%83%96%E3%82%B8%E3%82%A7%E3%82%AF%E3%83%88\"><\/span>\u4e00\u822c\u7684\u306a\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%95%B0%E5%80%A4\"><\/span>\u6570\u5024<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6570\u5024\u306f\u3082\u3063\u3068\u3082\u57fa\u672c\u7684\u306a\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4e00\u3064\u3067\u3059\u3002<span class=\"marker2\">GeoGebra\u306b\u6570\u5024\u3092\u5165\u529b\u3059\u308b\u5834\u5408\u3001\u4f55\u3082\u610f\u8b58\u3057\u306a\u3051\u308c\u3070\u3001GeoGebra\u306f\u5165\u529b\u3055\u308c\u305f\u6570\u5024\u3092\u300c10\u9032\u6570\u306e\u5b9f\u6570\u300d\u3068\u3057\u3066\u53d6\u308a\u6271\u3044\u307e\u3059\u3002<\/span>\u306a\u304a\u3001\u5c0f\u6570\u70b9\u306b\u306f\u30d4\u30ea\u30aa\u30c9(.)\u306e\u8a18\u53f7\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%85%A5%E5%8A%9B%E4%BE%8B\"><\/span>\u5165\u529b\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u4f8b\u3048\u3070\u30013.14\u3068\u3044\u3046\u6570\u5b57\u3092\u5165\u529b\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1613\" height=\"793\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701.jpeg\" alt=\"\" class=\"wp-image-1123\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701.jpeg 1613w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701-300x147.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701-1024x503.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701-768x378.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701-1536x755.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0701.jpeg 856w\" sizes=\"(max-width: 1613px) 100vw, 1613px\" \/><\/figure>\n\n\n\n<p>\u30a8\u30f3\u30bf\u30fc\u30ad\u30fc\u3092\u62bc\u3059\u3068\u2026\u2026<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"1640\" height=\"787\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702.jpeg\" alt=\"\" class=\"wp-image-1124\" style=\"width:700px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702-300x144.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702-1024x491.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702-768x369.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702-1536x737.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0702.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><\/figure>\n\n\n\n<p>\\(a=3.14\\)\u3068\u51fa\u529b\u3055\u308c\u308b\u3068\u3068\u3082\u306b\u3001\u30b9\u30e9\u30a4\u30c0\u30fc\u304c\u8868\u793a\u3055\u308c\u307e\u3057\u305f\uff08\u30b9\u30e9\u30a4\u30c0\u30fc\u306b\u3064\u3044\u3066\u306f\u5f8c\u3067\u8aac\u660e\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059)\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%AA%E3%83%96%E3%82%B8%E3%82%A7%E3%82%AF%E3%83%88%E3%81%AE%E5%91%BD%E5%90%8D\"><\/span>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u547d\u540d<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>GeoGebra\u3067\u306f\u305f\u304f\u3055\u3093\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304c\u53d6\u308a\u6271\u308f\u308c\u307e\u3059\u304c\u3001\u8907\u96d1\u306a\u6570\u5b66\u8a08\u7b97\u3092\u884c\u3046\u305f\u3081\u306b\u306f\u3069\u308c\u304c\u3069\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304b\u3092\u8b58\u5225\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001<span class=\"marker\">\u5404\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u306f\u8b58\u5225\u7528\u306e\u300c\u540d\u524d\u300d\u304c\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u540d\u306f\u30e6\u30fc\u30b6\u304c\u6307\u5b9a\u3057\u3066\u3082\u826f\u3044\u3067\u3059\u3057\u3001 GeoGebra\u306b\u81ea\u52d5\u3067\u540d\u524d\u3092\u5272\u308a\u632f\u3089\u305b\u3066\u3082\u826f\u3044\u3067\u3059\u3002\u30e6\u30fc\u30b6\u304c\u540d\u524d\u3092\u6307\u5b9a\u3057\u306a\u3044\u5834\u5408\u3001GeoGebra\u306f\u5404\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u81ea\u52d5\u3067\u540d\u524d\u3092\u5272\u308a\u632f\u308a\u307e\u3059\u3002<span class=\"marker2\">\u5148\u307b\u3069\u306e\u4f8b\u3067\u306f\u30013.14\u3068\u3044\u3046\u6570\u5024\u306b\\(a\\)\u3068\u3044\u3046\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u540d\u304c\u81ea\u52d5\u7684\u306b\u5272\u308a\u632f\u3089\u308c\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<p>\u30e6\u30fc\u30b6\u306f\u3042\u308b\u7a0b\u5ea6\u81ea\u7531\u306b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u540d\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u4f8b\u5916\u3082\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\\(e\\)\u3068\u6253\u3061\u8fbc\u3093\u3067\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1640\" height=\"789\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705.jpeg\" alt=\"\" class=\"wp-image-1127\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705-300x144.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705-1024x493.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705-768x369.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705-1536x739.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0705.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\\(e\\)\u3068\u5165\u529b\u3057\u305f\u6642\u306e\u753b\u9762<\/figcaption><\/figure>\n\n\n\n<p>\\(e\\)\u3068\u5165\u529b\u3059\u308b\u3068\u3001\u30a8\u30f3\u30bf\u30fc\u30ad\u30fc\u3092\u62bc\u3059\u524d\u306b=2.718\u2026\u2026\u3068\u8868\u793a\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u30cd\u30a4\u30d4\u30a2\u6570\u3068\u547c\u3070\u308c\u308b\u6570\u5b57\u3067\u3059\u3002\u6570\u5b66\u306b\u304a\u3044\u3066\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u5c0f\u6587\u5b57\u306e\\(e\\)\u306f\u30cd\u30a4\u30d4\u30a2\u6570\u3068\u5b9a\u7fa9\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u305f\u3081\u3001GeoGebra\u3067\u3082\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f\\(e\\)\u3092\u30cd\u30a4\u30d4\u30a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\\(e\\)\u3068\u3044\u3046\u540d\u79f0\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u4f5c\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\\(e=6\\)\u3068\u6253\u3061\u8fbc\u3093\u3067\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1640\" height=\"784\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706.jpeg\" alt=\"\" class=\"wp-image-1128\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706-300x143.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706-1024x490.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706-768x367.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706-1536x734.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0706.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><\/figure>\n\n\n\n<p>\\(e=6\\)\u3068\u6253\u3061\u8fbc\u3093\u3060\u3068\u3053\u308d\u3001\\(e\\)\u3068\u3044\u3046\u540d\u79f0\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3053\u308c\u4ee5\u5f8c\u306e\u8a08\u7b97\u3067\u306f\u3001\\(e\\)\u306f\u30cd\u30a4\u30d4\u30a2\u6570\u3067\u306f\u306a\u304f\u3001\u5148\u307b\u3069\u4f5c\u6210\u3055\u308c\u305f\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3068\u3057\u3066\u6271\u308f\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3001<span class=\"marker\">GeoGebra\u306b\u306f\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u540d\u3068\u3057\u3066\u4f7f\u3048\u306a\u3044\u5358\u8a9e(\u4e88\u7d04\u8a9e)\u3082\u3042\u308a\u307e\u3059\u3002<\/span>\u4e88\u7d04\u8a9e\u306e\u4ee3\u8868\u4f8b\u306f\\(\\sin\\)\u3084\\(\\cos\\)\u306a\u3069\u3067\u3059\u3002\u4e88\u7d04\u8a9e\u306f\u3044\u308d\u3044\u308d\u3042\u308a\u307e\u3059\u304c\u3001<span class=\"marker2\">\u300c\u6570\u5b66\u7684\u306b\u7d1b\u3089\u308f\u3057\u3044\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u540d\u306f\u3064\u3051\u3089\u308c\u306a\u3044\uff08\u307e\u305f\u3001\u3064\u3051\u308b\u3079\u304d\u3067\u306f\u306a\u3044\uff09\u300d<\/span>\u3068\u899a\u3048\u3066\u304a\u3051\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%95%B0%E5%80%A4%E3%81%AE%E5%A4%89%E6%9B%B4%E3%81%A8%E3%82%B9%E3%83%A9%E3%82%A4%E3%83%80%E3%83%BC\"><\/span>\u6570\u5024\u306e\u5909\u66f4\u3068\u30b9\u30e9\u30a4\u30c0\u30fc<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p><span class=\"marker\">GeoGebra\u3092\u4f7f\u3063\u3066\u3044\u308b\u3068\u3001\u5148\u307b\u3069\u5165\u529b\u3057\u305f\u6570\u5024\u3092\u5909\u66f4\u3057\u305f\u304f\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3046\u3044\u3063\u305f\u5834\u5408\u3001\u30e6\u30fc\u30b6\u306f\u6570\u5024\u3092\u4e0a\u66f8\u304d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u3001\\(a=3.14\\)\u3068\u5165\u529b\u3057\u305f\u5f8c\u306b\u3001\\(a=5\\)\u3068\u5165\u529b\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1640\" height=\"784\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703.jpeg\" alt=\"\" class=\"wp-image-1125\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703-300x143.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703-1024x490.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703-768x367.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703-1536x734.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0703.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\\(a=3.14\\)\u3092\\(a=5\\)\u3067\u4e0a\u66f8\u304d\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u30a8\u30f3\u30bf\u30fc\u30ad\u30fc\u3092\u62bc\u3059\u3068\u3001\u753b\u9762\u306f\u3053\u306e\u3088\u3046\u306b\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1640\" height=\"792\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704.jpeg\" alt=\"\" class=\"wp-image-1126\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704-300x145.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704-1024x495.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704-768x371.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704-1536x742.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0704.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\\(a=5\\)\u3067\u4e0a\u66f8\u304d\u3055\u308c\u305f<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\\(a\\)\u3068\u3044\u3046\u540d\u79f0\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306f5\u3068\u3044\u3046\u6570\u5b57\u3067\u4e0a\u66f8\u304d\u3055\u308c\u307e\u3057\u305f\u3002<span class=\"marker\">\\(a\\)\u3068\u3044\u3046\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u6570\u5024\u304c\u4e0a\u66f8\u304d\u3055\u308c\u305f\u3068\u304d\u3001\u305d\u306e\u6570\u5024\u3092\u4f7f\u3063\u3066\u6f14\u7b97\u3055\u308c\u308b\u6570\u5f0f\u3084\u56f3\u5f62\u304c\u3042\u308c\u3070\u3001\u305d\u308c\u3089\u306f\u81ea\u52d5\u7684\u306b\u518d\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u305f\u3060\u3001\u3044\u3061\u3044\u3061\u30ad\u30fc\u30dc\u30fc\u30c9\u3092\u4f7f\u3063\u3066\u3001\u6570\u5024\u306e\u4e0a\u66f8\u304d\u3092\u3059\u308b\u306e\u306f\u9762\u5012\u3067\u3059\u3088\u306d\uff1f\u305d\u3046\u3044\u3063\u305f\u6642\u306f\u30b9\u30e9\u30a4\u30c0\u30fc\u6a5f\u80fd\u306e\u51fa\u756a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1213\" height=\"593\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714.jpeg\" alt=\"\" class=\"wp-image-1136\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714.jpeg 1213w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714-300x147.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714-1024x501.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714-768x375.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0714.jpeg 856w\" sizes=\"(max-width: 1213px) 100vw, 1213px\" \/><figcaption class=\"wp-element-caption\">\u30b9\u30e9\u30a4\u30c0\u30fc\u306e\u8aac\u660e\u56f3<\/figcaption><\/figure>\n\n\n\n<p>\u30b9\u30e9\u30a4\u30c0\u30fc\u3068\u3044\u3046\u306e\u306f\u3001\\(a\\)\u3068\u3044\u3046\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u4e0b\u306b\u3042\u308b\u6a2a\u68d2\u306e\u3053\u3068\u3067\u3059\u3002<span class=\"marker2\">\u30b9\u30e9\u30a4\u30c0\u30fc\u306e\u30c4\u30de\u30df\u3092\u52d5\u304b\u3059\u3068\u3001\u6570\u5024\u306e\u4e0a\u66f8\u304d\u3092\u30ef\u30f3\u30a2\u30af\u30b7\u30e7\u30f3\u3067\u5b9f\u884c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001<span class=\"marker2\">\u30b9\u30e9\u30a4\u30c0\u30fc\u306f\u81ea\u52d5\u3067\u52d5\u304b\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u3001\\(y=a \\cdot x\\)\u3068\u5165\u529b\u3057\u305f\u5f8c\u306b\u3001\u30b9\u30e9\u30a4\u30c0\u30fc\u306e\u518d\u751f\u30dc\u30bf\u30f3\u3092\u62bc\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u30b0\u30e9\u30d5\u304c\u81ea\u52d5\u7684\u306b\u5909\u5316\u3057\u3066\u3044\u304f\u306f\u305a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"1364\" height=\"1920\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709.jpeg\" alt=\"\" class=\"wp-image-1131\" style=\"width:789px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709.jpeg 1364w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709-213x300.jpeg 213w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709-727x1024.jpeg 727w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709-768x1081.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709-1091x1536.jpeg 1091w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0709.jpeg 856w\" sizes=\"(max-width: 1364px) 100vw, 1364px\" \/><figcaption class=\"wp-element-caption\">\u539f\u70b9\u3092\u901a\u308b\u4e00\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n\n\n\n<p>\u4e00\u6b21\u95a2\u6570\u306b\u304a\u3044\u3066\u3001\\(a\\)\u306f\u76f4\u7dda\u306e\u50be\u304d\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u30b9\u30e9\u30a4\u30c0\u30fc\u6a5f\u80fd\u3067\\(a\\)\u3092\u5909\u66f4\u3059\u308b\u3068\u76f4\u7dda\u306e\u50be\u304d\u304c\u5909\u308f\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A7%92%E5%BA%A6\"><\/span>\u89d2\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>GeoGebra\u306f\u5e7e\u4f55\u5b66\u56f3\u5f62\u306e\u63cf\u753b\u3084\u4e09\u89d2\u95a2\u6570\u306e\u8a08\u7b97\u3092\u884c\u3046\u306e\u304c\u5f97\u610f\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u4f5c\u696d\u3092\u884c\u3046\u6642\u3001\u89d2\u5ea6\u3092\u5165\u529b\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3082\u591a\u3044\u3067\u3059\u3002<span class=\"marker2\">GeoGebra\u3067\u89d2\u5ea6\u3092\u5165\u529b\u3059\u308b\u5834\u5408\u3001\u5ea6\u6570\u6cd5\u3067\u5165\u529b\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3057\u3001\u5f27\u5ea6\u6cd5\u3067\u5165\u529b\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059<\/span>\u3002<\/p>\n\n\n\n<p><span class=\"marker\">GeoGebra\u306b\u304a\u3044\u3066\u3001\u89d2\u5ea6\u3092\u5ea6\u6570\u6cd5\u3067\u5165\u529b\u3059\u308b\u5834\u5408\u3001\u300c\u00b0\u300d\u306e\u8a18\u53f7\u3092\u6570\u5b57\u306e\u5f8c\u308d\u306b\u4ed8\u3051\u307e\u3059\u3002<span style=\"font-family: -webkit-standard; font-size: medium; letter-spacing: normal; white-space: normal; -webkit-text-size-adjust: auto;\">\u300c\u00b0\u300d<\/span>\u306e\u8a18\u53f7\u306e\u4ed8\u3044\u3066\u3044\u306a\u3044\u89d2\u5ea6\u306f\u5f27\u5ea6\u6cd5\u3067\u8868\u73fe\u3055\u308c\u305f\u5024\u3067\u3042\u308b\u3068\u3001GeoGebra\u306f\u89e3\u91c8\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u5927\u96d1\u628a\u306b\u8a00\u3046\u3068\u3001\u5ea6\u6570\u6cd5\u3068\u5f27\u5ea6\u6cd5\u306e\u9055\u3044\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5ea6\u6570\u6cd5\u2026\u76f4\u89d2\u306e\u89d2\u5ea6\u309290\u00b0\u3068\u5b9a\u7fa9\u3057\u3001\u305d\u308c\u3092\u57fa\u6e96\u3068\u3057\u305f\u6bd4\u7387\u3067\u89d2\u5ea6\u3092\u8868\u3059\u65b9\u6cd5(\uff11\u5468\u3059\u308b\u3068360\u00b0\u306b\u306a\u308b)<\/li>\n\n\n\n<li>\u5f27\u5ea6\u6cd5\u2026\u6247\u5f62\u306e\u5186\u5f27\u306e\u9577\u3055\u3092\u4f7f\u3063\u3066\u89d2\u5ea6\u3092\u8868\u3059\u65b9\u6cd5(\uff11\u5468\u3059\u308b\u3068\\(2\\pi\\)\u306b\u306a\u308b)<\/li>\n<\/ul>\n\n\n\n<p>\u5f27\u5ea6\u6cd5\u306f\u9ad8\u6821\u6570\u5b66\u3067\u7fd2\u3046\u5185\u5bb9\u306a\u306e\u3067\u3001\u307e\u3060\u7fd2\u3063\u3066\u3044\u306a\u3044\u3068\u8a00\u3046\u65b9\u306e\u305f\u3081\u306b\u3001\u3082\u3046\u5c11\u3057\u8aac\u660e\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u3001\u5f27\u5ea6\u6cd5\u306e\u8aac\u660e\u56f3\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"768\" height=\"652\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0715.jpeg\" alt=\"\" class=\"wp-image-1139\" style=\"width:700px;height:auto\"\/><\/figure>\n\n\n\n<p>\u3053\u306exy\u5e73\u9762\u306b\u306f\u539f\u70b9\u3068x\u8ef8\u3092\u57fa\u6e96\u3068\u3057\u3066\u534a\u5f84\\(r\\)\u3001\u4e2d\u5fc3\u89d2\u5ea6\\(\\theta\\)\u306e\u6247\u5f62\u304c\u63cf\u304b\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e<span class=\"marker\">\u6247\u5f62\u306e\u5186\u5f27\u306e\u9577\u3055\u304c\u534a\u5f84\\(r\\)\u3068\u4e2d\u5fc3\u89d2\u5ea6\\(\\theta\\)\u306e\u639b\u3051\u7b97(\u3064\u307e\u308a\u3001\\(r \\theta\\))\u3067\u8868\u73fe\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u89d2\u5ea6\u3068\u3044\u3046\u3082\u306e\u3092\u5b9a\u7fa9\u3057\u3088\u3046\u3068\u3044\u3046\u306e\u304c\u5f27\u5ea6\u6cd5\u306e\u8003\u3048\u65b9\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u6247\u5f62\u306e\u4e2d\u5fc3\u89d2\u5ea6\u304c360\u00b0\u306e\u5834\u5408\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306f\u3044\u308f\u3086\u308b\u300c\u666e\u901a\u306e\u5186\u300d\u3067\u3059\u3002\u5186\u306e\u5186\u5468\u306e\u9577\u3055\u306f\\(2\\pi r\\)\u3067\u3059\u304b\u3089\u3001\u5f27\u5ea6\u6cd5\u3067\u5186\u306e\u4e2d\u5fc3\u89d2\u5ea6\u3092\u8868\u3059\u3068\\(2\\pi \\)\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3053\u3068\u304b\u3089\u3001<span class=\"marker2\">\u5ea6\u6570\u6cd5\u304b\u3089\u5f27\u5ea6\u6cd5\u3078\u306e\u63db\u7b97\u4fc2\u6570\u306f\\(\\frac{2\\pi}{360}\\)\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u5f27\u5ea6\u6cd5\u304b\u3089\u5ea6\u6570\u6cd5\u3078\u306e\u63db\u7b97\u4fc2\u6570\u306f\\(\\frac{360}{2\\pi}\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u5b9f\u306fGeoGebra\u306b\u304a\u3044\u3066\u3001\u300c\u00b0\u300d\u306e\u8a18\u53f7\u306f\u300c\u6570\u5024\u306b\u5bfe\u3057\u3066\\(\\frac{2\\pi}{360}\\)\u3092\u4e57\u3058\u308b\u300d\u3068\u3044\u3046\u610f\u5473\u306a\u306e\u3067\u3059(GeoGebra\u306f\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u5185\u90e8\u306e\u8a08\u7b97\u3092\u3059\u3079\u3066\u5f27\u5ea6\u6cd5\u3067\u51e6\u7406\u3057\u3066\u3044\u307e\u3059)\u3002\u3067\u3059\u304b\u3089\u3001\u88cf\u6280\u7684\u3067\u3059\u304c\u3001\u5f27\u5ea6\u6cd5\u306e\u89d2\u5ea6\u3092\u300c\u00b0\u300d\u3067\u5272\u308b\u3068\u5ea6\u6570\u6cd5\u306e\u89d2\u5ea6\u304c\u51fa\u3066\u304d\u307e\u3059\u3002\u5b9f\u969b\u306b\u3084\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1640\" height=\"246\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716.jpeg\" alt=\"\" class=\"wp-image-1144\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716-300x45.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716-1024x154.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716-768x115.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716-1536x230.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/04\/IMG_0716.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\u5f27\u5ea6\u6cd5\u304b\u3089\u5ea6\u6570\u6cd5\u3078\u306e\u5909\u63db\u65b9\u6cd5<\/figcaption><\/figure>\n\n\n\n<p>\\(2\\pi \\)\u306b\\(\\frac{360}{2\\pi}\\)\u3092\u4e57\u3058\u305f\u306e\u3067\\(360\\)\u3068\u51fa\u529b\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3001\u9006\u4e09\u89d2\u95a2\u6570\u3092\u6f14\u7b97\u3059\u308b\u3068\u304d\u306a\u3069\u306b\u306f\u3001\u6f14\u7b97\u7d50\u679c\u3092\u5ea6\u6570\u6cd5\u3067\u51fa\u529b\u3057\u3066\u3082\u3089\u3044\u305f\u3044\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002<span class=\"marker\">GeoGebra\u3067\u306f\u3001\u9006\u4e09\u89d2\u95a2\u6570\u306e\u7d50\u679c\u3092\u5ea6\u6570\u6cd5\u3067\u51fa\u529b\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span>\u3053\u306e\u3053\u3068\u306b\u3064\u3044\u3066\u306f\u307b\u304b\u306e\u8a18\u4e8b\u3067\u89e6\u308c\u305f\u306e\u3067\u3001\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\u305d\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/tale-sci.online\/?p=996\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A4%87%E7%B4%A0%E6%95%B0\"><\/span>\u8907\u7d20\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6570\u5b66\u3067\u306f\u3001\u5b9f\u6570\\(a\\)\u3001\\(b\\)\u3068\u865a\u6570\u5358\u4f4d\\(i=sqrt{-1}\\)\u306b\u3088\u3063\u3066\\(z=a\uff0bbi\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u6570\u306e\u3053\u3068\u3092\u8907\u7d20\u6570\u3068\u547c\u3073\u307e\u3059\u3002GeoGebra\u3067\u306f\u8907\u7d20\u6570\u306e\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u8907\u7d20\u6570\u306e\u8a08\u7b97\u3092\u884c\u3046\u65b9\u6cd5\u306f\u7c21\u5358\u3067\u3059\u3002\u865a\u6570\u5358\u4f4d\u03af\u3092\u5165\u529b\u30d0\u30fc\u306e\u30b7\u30f3\u30dc\u30eb\u30dc\u30c3\u30af\u30b9\u304b\u3089\u9078\u629e\u3059\u308b\u304b\u3001\u30ad\u30fc\u30dc\u30fc\u30c9\u306eALT\u30ad\u30fc\u3092\u62bc\u3057\u306a\u304c\u3089i\u3092\u5165\u529b\u3059\u308c\u3070\u826f\u3044\u306e\u3067\u3059\u3002\u307e\u305f\u3001CAS\u30e2\u30fc\u30c9\u3067\u306fi\u3068\u3044\u3046\u540d\u79f0\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u30e6\u30fc\u30b6\u304c\u4f5c\u6210\u3057\u306a\u3044\u9650\u308a\u3001\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306e\u5c0f\u6587\u5b57\u306ei\u304c\u81ea\u52d5\u7684\u306b\u865a\u6570\u5358\u4f4d\u3068\u3057\u3066\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"marker\">GeoGebra\u306f\u8907\u7d20\u6570\u306e\u56db\u5247\u6f14\u7b97(\u52a0\u6e1b\u4e57\u9664)\u304c\u53ef\u80fd\u3067\u3059\u3002\u307e\u305f\u3001GeoGebra\u306f\u4ee5\u4e0b\u306e\u30ea\u30b9\u30c8\u306b\u8a18\u8f09\u3055\u308c\u305f\u30b3\u30de\u30f3\u30c9\u3092\u5229\u7528\u3057\u3066\u3001\u5404\u7a2e\u306e\u8907\u7d20\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>\u6f14\u7b97\/\u95a2\u6570<\/td><td>\u5165\u529b\u65b9\u6cd5<\/td><\/tr><tr><td>\u03af (<a href=\"http:\/\/en.wikipedia.org\/wiki\/ja:%E8%99%9A%E6%95%B0%E5%8D%98%E4%BD%8D\">\u865a\u6570\u5358\u4f4d<\/a>)<\/td><td>Alt&nbsp;+&nbsp;i<\/td><\/tr><tr><td>\u5171\u5f79<\/td><td>conjugate( ) or <code>Reflect[ w ,xAxis]<\/code><\/td><\/tr><tr><td>\u504f\u89d2<\/td><td>arg( ) or  Angle<strong><code>[w]<\/code><\/strong><\/td><\/tr><tr><td>\u7d76\u5bfe\u5024<\/td><td>abs( ) or  Length<code>[w]<\/code><\/td><\/tr><tr><td><a href=\"https:\/\/wiki.geogebra.org\/s\/ja\/index.php?title=Real_Function&amp;action=edit&amp;redlink=1\">\u5b9f\u6570\u90e8\u5206<\/a><\/td><td>real( ) or <code>x(w)<\/code><\/td><\/tr><tr><td><a href=\"https:\/\/wiki.geogebra.org\/s\/ja\/index.php?title=Imaginary_Function&amp;action=edit&amp;redlink=1\">\u865a\u6570\u90e8\u5206<\/a><\/td><td>imaginary( ) or <code>y(w)<\/code><\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">\u8907\u7d20\u6570\u95a2\u9023\u306eGeoGebra\u30b3\u30de\u30f3\u30c9\u30ea\u30b9\u30c8(\u305f\u3060\u3057\u3001w\u306f\u8907\u7d20\u6570)<\/figcaption><\/figure>\n\n\n\n<p><strong>Note:<\/strong>&nbsp;arg( )\u306f\u51fa\u529b\u3092-180\u00b0\u301c180\u00b0\u306e\u7bc4\u56f2\u3067\u8fd4\u3059\u306e\u306b\u5bfe\u3057\u3066\u3001Angle[ ]\u306f\u51fa\u529b\u30920\u00b0\u301c 360\u00b0\u306e\u7bc4\u56f2\u3067\u8fd4\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><strong>Note:<\/strong>&nbsp;GeoGebra\u3092\u4f7f\u3063\u3066\u3044\u308b\u3068\u3001\u3042\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304c\u8907\u7d20\u6570\u304b\u3069\u3046\u304b\u3001\u5224\u5b9a\u3057\u305f\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059(\u203b\u4e00\u90e8\u306e\u30b3\u30de\u30f3\u30c9\u306f\u5b9f\u6570\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b\u5bfe\u3057\u3066\u50cd\u304b\u306a\u3044\u305f\u3081)\u3002\u3042\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u304c\u8907\u7d20\u6570\u304b\u3069\u3046\u304b\u3092\u5224\u5b9a\u3059\u308b\u306b\u306f<span class=\"jin-keyboard\">imaginary(a)\u22600<\/span>\u3068\u5165\u529b\u3059\u308b\u306e\u304c\u826f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u306a\u304a\u3001\u8907\u7d20\u6570\u306f\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u6307\u6570\u95a2\u6570\u306e\u5f62(\u3044\u308f\u3086\u308b\u6975\u5ea7\u6a19\u5f62\u5f0f)\u3067\u8868\u73fe\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u534a\u5f84\\(r\\)\u3068\u504f\u89d2\\(\\theta\\)\u3092\u7528\u3044\u308b\u3068\u3001\u6307\u6570\u95a2\u6570\u306e\u5f62\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8907\u7d20\u6570\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$r e^{i\\theta}=r \\cos\\theta+i r \\sin\\theta$$<\/p>\n\n\n\n<p><span class=\"marker\">GeoGebra\u3067\u306f\u3001<span class=\"jin-keyboard\">exp()<\/span>\u30b3\u30de\u30f3\u30c9\u3084<span class=\"jin-keyboard\">e^()<\/span>(\u30cd\u30a4\u30d4\u30a2\u6570\u306e\u3079\u304d\u4e57)\u3092\u5229\u7528\u3057\u3066\u3001\u6307\u6570\u95a2\u6570\u306e\u5f62\u3067\u8907\u7d20\u6570\u3092\u5165\u529b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>GeoGebra\u306b\u306f\u4ed6\u306b\u3082\u8907\u7d20\u6570\u95a2\u9023\u306e\u30b3\u30de\u30f3\u30c9\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u306b\u95a2\u3057\u3066\u306f\u3044\u305a\u308c\u3054\u7d39\u4ecb\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%96%E3%83%BC%E3%83%AA%E3%82%A2%E3%83%B3\"><\/span>\u30d6\u30fc\u30ea\u30a2\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4ed6\u306e\u591a\u304f\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3068\u540c\u69d8\u3001<span class=\"marker\">GeoGebra\u3067\u306f\u30d6\u30fc\u30eb\u578b\u306e\u5909\u6570(Boolean\u3001\u30d6\u30fc\u30ea\u30a2\u30f3)\u3092\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u30d6\u30fc\u30eb\u578b\u5909\u6570\u3068\u3044\u3046\u306e\u306f\u8ad6\u7406\u6f14\u7b97\u3092\u53d6\u308a\u6271\u3046\u305f\u3081\u306e\u5c02\u7528\u306e\u5909\u6570\u578b\u3067\u3001\u300ctrue(\u771f)\u300d\u3068\u300cfalse (\u507d)\u300d\u306e2\u5024\u3092\u53d6\u308a\u6271\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"marker2\">\u5165\u529b\u3055\u308c\u305f\u547d\u984c\u304c\u6210\u308a\u7acb\u3064\u3068\u304d\u30d6\u30fc\u30eb\u578b\u5909\u6570\u306e\u51fa\u529b\u306f\u300ctrue(\u771f)\u300d\u306b\u306a\u308a\u3001\u6210\u308a\u7acb\u305f\u306a\u3044\u3068\u304d\u30d6\u30fc\u30eb\u578b\u5909\u6570\u306e\u51fa\u529b\u306f\u300cfalse (\u507d)\u300d\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u30d6\u30fc\u30eb\u578b\u5909\u6570\u306b\u3064\u3044\u3066\u306f\u4e0b\u8a18\u306e\u8a18\u4e8b\u3067\u8a73\u3057\u304f\u3054\u7d39\u4ecb\u3057\u307e\u3057\u305f\u306e\u3067\u3001\u8a73\u3057\u304f\u306f\u305d\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/tale-sci.online\/?p=1078\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><span 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