{"id":1356,"date":"2024-07-11T09:24:30","date_gmt":"2024-07-11T00:24:30","guid":{"rendered":"https:\/\/tale-sci.online\/?p=1356"},"modified":"2024-07-25T08:24:10","modified_gmt":"2024-07-24T23:24:10","slug":"%e3%81%82%e3%81%ae%e6%9c%89%e5%90%8d%e3%81%aa%e3%80%8c%e6%8e%a5%e7%82%b9t%e3%81%ae%e5%95%8f%e9%a1%8c%e3%80%8d%e3%82%92geogebra%e3%81%a7%e8%a7%a3%e3%81%84%e3%81%a6%e3%81%bf%e3%82%8b","status":"publish","type":"post","link":"https:\/\/tale-sci.online\/?p=1356","title":{"rendered":"\u3042\u306e\u6709\u540d\u306a\u300c\u63a5\u70b9t\u306e\u554f\u984c\u300d\u3092GeoGebra\u3067\u89e3\u3044\u3066\u307f\u308b"},"content":{"rendered":"\n<p>\u3053\u306e\u30b5\u30a4\u30c8\u3067\u306fGeoGebra\u3084Desmos\u3068\u3044\u3063\u305f\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u30bd\u30d5\u30c8\u306e\u89e3\u8aac\u3092\u884c\u3046\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002<span class=\"marker\"><strong>\u4eca\u56de\u306f\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u30bd\u30d5\u30c8GeoGebra\u3092\u4f7f\u3063\u3066\u3001\u4ee3\u3005\u6728\u30bc\u30df\u30ca\u30fc\u30eb\u306e\u6709\u540d\u306a\u6570\u5b66\u8b1b\u5e2b\u3000\u837b\u91ce\u66a2\u4e5f\u5148\u751f\u304c\u89e3\u8aac\u3057\u3066\u3044\u305f\u300c\u63a5\u70b9t\u300d\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3059\u3002<\/strong><\/span><\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 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 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href=\"https:\/\/tale-sci.online\/?p=1356\/#%E6%8E%A5%E7%82%B9t%E3%81%AE%E5%95%8F%E9%A1%8C%E3%81%A8%E3%81%AF%EF%BC%9F\" >\u63a5\u70b9t\u306e\u554f\u984c\u3068\u306f\uff1f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/tale-sci.online\/?p=1356\/#%E7%82%B9%E3%81%A8%E4%B8%89%E6%AC%A1%E9%96%A2%E6%95%B0%E3%81%AE%E3%82%B0%E3%83%A9%E3%83%95%E3%82%92%E6%8F%8F%E3%81%8F\" >\u70b9\u3068\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/tale-sci.online\/?p=1356\/#%E6%8E%A5%E7%B7%9A%E3%82%92%E5%BC%95%E3%81%84%E3%81%A6%E3%81%BF%E3%82%8B%EF%BC%88%E5%95%8F%E9%A1%8C%E3%81%AE%E6%84%8F%E5%9B%B3%E3%82%92%E6%8A%8A%E6%8F%A1%E3%81%99%E3%82%8B%EF%BC%89\" >\u63a5\u7dda\u3092\u5f15\u3044\u3066\u307f\u308b\uff08\u554f\u984c\u306e\u610f\u56f3\u3092\u628a\u63e1\u3059\u308b\uff09<\/a><\/li><li class='ez-toc-page-1 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class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/tale-sci.online\/?p=1356\/#%E5%AE%9F%E6%95%B0%E8%A7%A3%E3%81%8C3%E3%81%A4%E3%81%AB%E3%81%AA%E3%82%8B%E6%9D%A1%E4%BB%B6%E3%82%92%E8%80%83%E3%81%88%E3%82%8B\" >\u5b9f\u6570\u89e3\u304c3\u3064\u306b\u306a\u308b\u6761\u4ef6\u3092\u8003\u3048\u308b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/tale-sci.online\/?p=1356\/#%E6%9D%A1%E4%BB%B6%E3%82%92%E6%BA%80%E3%81%9F%E3%81%99%E7%AF%84%E5%9B%B2%E3%82%92%E5%9B%B3%E7%A4%BA%E3%81%99%E3%82%8B\" >\u6761\u4ef6\u3092\u6e80\u305f\u3059\u7bc4\u56f2\u3092\u56f3\u793a\u3059\u308b<\/a><\/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=1356\/#%E4%BD%99%E8%AB%87%E3%80%80%E3%80%9C%E5%9B%9B%E6%AC%A1%E4%BB%A5%E4%B8%8A%E3%81%AE%E9%96%A2%E6%95%B0%E3%81%AE%E6%8E%A5%E7%B7%9A%E3%80%9C\" >\u4f59\u8ac7\u3000\u301c\u56db\u6b21\u4ee5\u4e0a\u306e\u95a2\u6570\u306e\u63a5\u7dda\u301c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/tale-sci.online\/?p=1356\/#%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=\"%E6%8E%A5%E7%82%B9t%E3%81%AE%E5%95%8F%E9%A1%8C%E3%81%A8%E3%81%AF%EF%BC%9F\"><\/span>\u63a5\u70b9t\u306e\u554f\u984c\u3068\u306f\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u3067\u53d6\u308a\u6271\u3046\u63a5\u70b9t\u306e\u554f\u984c\u3068\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u306b\u5bfe\u3057\u3066\u3001\\(xy\\)\u5ea7\u6a19\u4e0a\u306e\u4efb\u610f\u306e\u70b9\\(a,b\\)\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u3092\u8003\u3048\u308b\u3002\u70b9\\(a,b\\)\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u304c3\u672c\u5b58\u5728\u3059\u308b\u305f\u3081\u306b\u306f\u3001\\(a,b\\)\u304c\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u306b\u3042\u308c\u3070\u826f\u3044\u304b\u3001\u7b54\u3048\u3088\u3002<\/p>\n<\/blockquote>\n\n\n\n<p>\u4e00\u898b\u3001\u306a\u3093\u306e\u5909\u54f2\u3082\u306a\u3044\u9ad8\u6821\u6570\u5b66\u30ec\u30d9\u30eb\u306e\u5fae\u5206\u306e\u554f\u984c\u3067\u3059\u304c\u3001\u3053\u306e\u554f\u984c\u304c\u6709\u540d\u306b\u306a\u3063\u305f\u306e\u306b\u306f\u304d\u3063\u304b\u3051\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u306f20\u5e74\u307b\u3069\u524d\u306b\u6d41\u884c\u3057\u305f\u3053\u306e\u52d5\u753b\u3067\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-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u837b\u91ce\u518d\u3073\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/q8JKk8rfgXk?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><figcaption class=\"wp-element-caption\">\u837b\u91ce\u5148\u751f\u306e\u8b1b\u7fa9\u306e\u52d5\u753b<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u308c\u306f2004\u5e74\u306b\u4ee3\u3005\u6728\u30bc\u30df\u30ca\u30fc\u30eb\u304c\u8a66\u8074\u52d5\u753b\u3068\u3057\u3066\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u516c\u958b\u3057\u305f\u6570\u5b66\u306e\u6388\u696d\u98a8\u666f\u3067\u3059\u3002\u3053\u306e\u8b1b\u7fa9\u3092\u3057\u305f\u6570\u5b66\u8b1b\u5e2b\u306f<strong>\u837b\u91ce\u66a2\u4e5f\u5148\u751f<\/strong>\u3068\u3044\u3046\u65b9\u306a\u306e\u3067\u3059\u304c\u3001<span class=\"marker\">\u4e88\u5099\u6821\u306e\u30a4\u30e1\u30fc\u30b8\u3092\u8986\u3059\u3088\u3046\u306a\u578b\u7834\u308a\u306a\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u304c\u5370\u8c61\u7684<\/span>\u3067\u3059\u3002\u8b1b\u7fa9\u306e\u7279\u5fb4\u3068\u3057\u3066\u3001<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30c6\u30f3\u30b7\u30e7\u30f3\u304c\u4e0a\u304c\u308b\u3068\u6025\u306b\u30bf\u30e1\u53e3\u306b\u306a\u308b<\/strong><\/li>\n\n\n\n<li><strong><strong>\u30ac\u30e9\u306e\u60aa\u3044\u3001\u6016\u3044\u304a\u5144\u3055\u3093\u304c\u30d7\u30c3\u30c4\u30f3\u3057\u3066\u3044\u308b\u3088\u3046\u306a\u558b\u308a\u65b9<\/strong><\/strong><\/li>\n\n\n\n<li><strong>\u4f55\u6545\u304b\u6559\u58c7\u306b\u8db3\u3092\u4e57\u305b\u308b<\/strong><\/li>\n\n\n\n<li><strong>\u6642\u6298\u6df7\u3058\u308b\u3001\u3069\u3053\u3068\u306a\u304f\u54f2\u5b66\u7684\u306a\u7269\u8a00\u3044<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"marker2\">\u837b\u91ce\u5148\u751f\u306e\u300c\u63a5\u70b9t\u300d\u306e\u52d5\u753b\u304c\u5927\u578b\u533f\u540d\u63b2\u793a\u677f\u3067\u8a71\u984c\u306b\u306a\u3063\u305f\u306e\u3092\u6a5f\u306b\u4ee3\u30bc\u30df\u8b1b\u5e2b\u9663\u306e\u5947\u629c\u3055\u304c\u77e5\u308c\u6e21\u308b\u3088\u3046\u306b\u306a\u308a\u3001\u4ee5\u5f8c\u4ed6\u6821\u3092\u542b\u3081\u69d8\u3005\u306a\u8b1b\u5e2b\u304c\u30cd\u30c3\u30c8\u3067\u540d\u3092\u4e0a\u3052\u305f<\/span>\u305d\u3046\u3067\u3059\u3002\u5f53\u6642\u306f<a href=\"https:\/\/dic.pixiv.net\/a\/FLASH%E9%BB%84%E9%87%91%E6%99%82%E4%BB%A3\">FLASH\u9ec4\u91d1\u6642\u4ee3<\/a>\u3060\u3063\u305f\u3053\u3068\u3082\u3042\u308a\u3001\u837b\u91ce\u5148\u751f\u306e\u97f3\u58f0\u306f<a href=\"https:\/\/dic.pixiv.net\/a\/FLASH\">FLASH<\/a>\u3084\u97f3MAD\u306e\u7d20\u6750\u3068\u3057\u3066\u3082\u3066\u306f\u3084\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p><strong>\u300c<a href=\"https:\/\/dic.pixiv.net\/a\/%E6%8E%A5%E7%82%B9t\">\u63a5\u70b9t<\/a>\u300d\u300c<a href=\"https:\/\/dic.pixiv.net\/a\/%E3%81%93%E3%81%AE%E7%82%B9%E3%81%AF%E5%87%BA%E3%81%AD%E3%81%87%E3%82%88%E3%81%89%21\">\u3053\u306e\u70b9\u306f\u51fa\u306d\u3047\u3088\u3049!<\/a>\u300d\u300c\u3086\u3046\u3084\u304f\uff08\u8a98\u60d1\uff09\u632f\u308a\u5207\u3063\u3066\u3053\u3046\u3060\u300d\u300c\u8a98\u60d1\u306b\u8ca0\u3051\u3066y=mx\u306a\u3093\u3066\u7f6e\u3044\u3061\u3083\u3046\u8f29\u304c\u591a\u3044\u3093\u3060\u3088\u306d\u300d\u300c4\u500b3\u672c\u300d\u300c\u3049\u30fc\u3093\u300d<\/strong>\u306a\u3069\u306e\u540d\u53f0\u8a5e(\u8ff7\u53f0\u8a5e\uff1f)\u306b\u61d0\u304b\u3057\u3055\u3092\u611f\u3058\u308b\u65b9\u3082\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u500b\u4eba\u7684\u306b\u306f\u3001<strong>\u300c\u6240\u8a6e\u3001\u624b\u969b\u3088\u304f\u89e3\u3051\u308b\u3088\u3046\u306b\u4f5c\u3089\u308c\u305f\u5165\u8a66\u554f\u984c\u3068\u3044\u3046&nbsp;\u7bb1\u5ead\u306e\u4e2d\u3067\u3057\u304b\u3041\u30fc\u3001\u3044\u3063\u3001\u751f\u304d\u3066\u3044\u3051\u306a\u3044\u89e3\u7b54\u306b\u904e\u304e\u306a\u3044\u3093\u3060\u3002\u300d<\/strong>\u3068\u3044\u3046\u30bb\u30ea\u30d5\u304c\u597d\u304d\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u3055\u3066\u3001\u837b\u91ce\u5148\u751f\u304c\u3053\u306e\u6709\u540d\u306a\u52d5\u753b\u3067\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u306e\u304c\u3001\u3053\u306e\u4e09\u6b21\u95a2\u6570\u306e\u5fae\u5206\u306e\u554f\u984c\u306a\u306e\u3067\u3059\u304c\u3001\u5185\u5bb9\u3092\u6b63\u78ba\u306b\u7406\u89e3\u3055\u308c\u3066\u3044\u308b\u65b9\u306f\u3069\u306e\u7a0b\u5ea6\u3044\u308b\u3067\u3057\u3087\u3046\u304b\uff1f\u3053\u308c\u5b9f\u306f\u7d50\u69cb\u3001\u9762\u767d\u3044\u554f\u984c\u306a\u3093\u3067\u3059\u3088\u306d\u3002<span class=\"marker\">\u4eca\u56de\u3001\u79c1\u306fGeoGebra\u3092\u4f7f\u3063\u3066\u3053\u306e\u300c\u63a5\u70b9t\u300d\u306e\u554f\u984c\u3092\u89e3\u8aac\u3057\u3066\u307f\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/span><div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9910.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u837b\u91ce\u5148\u751f\u304c\u500b\u6027\u7684\u3059\u304e\u3066\u6388\u696d\u306e\u5185\u5bb9\u304c\u982d\u306b\u5165\u3063\u3066\u3053\u306a\u3044\u304b\u3082\u3002 <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9904.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u5f53\u6642\u3001\u305d\u3046\u3044\u3046\u4eba\u306f\u591a\u304b\u3063\u305f\u3068\u601d\u3046\u3067\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%82%B9%E3%81%A8%E4%B8%89%E6%AC%A1%E9%96%A2%E6%95%B0%E3%81%AE%E3%82%B0%E3%83%A9%E3%83%95%E3%82%92%E6%8F%8F%E3%81%8F\"><\/span>\u70b9\u3068\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u307e\u305a\u3001\u554f\u984c\u306e\u5185\u5bb9\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u70b9\u3068\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002GeoGebra\u3067\u3053\u308c\u3089\u306e\u70b9\u3084\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u70b9\u3092\u63cf\u304f\u65b9\u6cd5\u306f\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u304c\u3001\u3053\u3053\u3067\u306f\\(A=(a,b)\\)\u3068\u5165\u529b\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306b\u306f\\(y=x^3-3x\\)\u3068\u5165\u529b\u3057\u307e\u3059\u3002\u4e0a\u624b\u304f\u3044\u3051\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u304c\u63cf\u3051\u308b\u306f\u305a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"934\" height=\"621\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0893.jpeg\" alt=\"\" class=\"wp-image-1363\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0893.jpeg 934w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0893-300x199.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0893-768x511.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0893.jpeg 856w\" sizes=\"(max-width: 934px) 100vw, 934px\" \/><figcaption class=\"wp-element-caption\">\u70b9A\u3068\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u306e\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n\n\n\n<p><span class=\"marker\"><strong>\u6570\u5f0f\u3092\u5165\u529b\u3059\u308b\u3060\u3051\u3067\u8907\u96d1\u306a\u30b0\u30e9\u30d5\u3092\u4e00\u77ac\u3067\u63cf\u753b\u3067\u304d\u308b\u306e\u304c\u30b0\u30e9\u30d5\u8a08\u7b97\u30bd\u30d5\u30c8\u306e\u3059\u3054\u3044\u3068\u3053\u308d<\/strong><\/span>\u3067\u3059\u3002\u306a\u304a\u3001GeoGebra\u3067\u306f\u3001\u70b9A\u3092\u30de\u30a6\u30b9\u64cd\u4f5c\u3084\u30bf\u30c3\u30c1\u64cd\u4f5c\u3067\u81ea\u7531\u306b\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u9069\u5f53\u306a\u4f4d\u7f6e\u306b\u70b9A\u3092\u304a\u3044\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3066\u5c11\u3057\u6a2a\u9053\u306b\u305d\u308c\u307e\u3059\u304c\u3001\u672c\u984c\u306b\u5165\u308b\u524d\u306b\u3053\u306e\u554f\u984c\u3067\u53d6\u308a\u6271\u3046\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u306e\u6027\u8cea\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u8aac\u660e\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u30b0\u30e9\u30d5\u306f\u4e09\u6b21\u95a2\u6570\\(y=x^3\\)\u3068\u4e00\u6b21\u95a2\u6570\\(y=-3x\\)\u306e\u548c\u3067\u3059\u3002\\(x\\)\u304c0\u8fd1\u508d\u306e\u7bc4\u56f2\u3067\u306f\\(y=x^3-3x\\)\u306f\u4e00\u6b21\u95a2\u6570\\(y=-3x\\)\u306b\u307b\u307c\u7b49\u3057\u3044\u3067\u3059\u304c\u3001\\(x\\)\u304c0\u304b\u3089\u9060\u3056\u304b\u308b\u306b\u3064\u308c\u3066\\(y=x^3\\)\u306b\u8fd1\u3065\u3044\u3066\u3044\u304d\u307e\u3059\u3002\u30b0\u30e9\u30d5\u8a08\u7b97\u30bd\u30d5\u30c8\u3092\u4f7f\u3048\u3070\u3001\u3053\u3046\u3044\u3063\u305f\u30b0\u30e9\u30d5\u306e\u7279\u9577\u3082\u7c21\u5358\u306b\u628a\u63e1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1087\" height=\"828\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg\" alt=\"\" class=\"wp-image-1364\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg 1087w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-300x229.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-1024x780.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-768x585.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg 856w\" sizes=\"(max-width: 1087px) 100vw, 1087px\" \/><figcaption class=\"wp-element-caption\">\u4e09\u6b21\u95a2\u6570\\(y=x^3\\)\u3068\u4e00\u6b21\u95a2\u6570\\(y=-3x\\)\u306e\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n\n\n\n<p><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9902.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3053\u3093\u306a\u611f\u3058\u3067\u3001\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u306f\u30b0\u30e9\u30d5\u3092\u7c21\u5358\u306b\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u30bd\u30d5\u30c8\u306a\u3093\u3084\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%8E%A5%E7%B7%9A%E3%82%92%E5%BC%95%E3%81%84%E3%81%A6%E3%81%BF%E3%82%8B%EF%BC%88%E5%95%8F%E9%A1%8C%E3%81%AE%E6%84%8F%E5%9B%B3%E3%82%92%E6%8A%8A%E6%8F%A1%E3%81%99%E3%82%8B%EF%BC%89\"><\/span>\u63a5\u7dda\u3092\u5f15\u3044\u3066\u307f\u308b\uff08\u554f\u984c\u306e\u610f\u56f3\u3092\u628a\u63e1\u3059\u308b\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30b0\u30e9\u30d5\u306e\u6982\u5f62\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u6b21\u306f\u9069\u5f53\u306b\u63a5\u7dda\u3092\u5f15\u3044\u3066\u307f\u307e\u3059\u3002<span class=\"marker\"><strong>\u300c\u95a2\u6570\u306e\u63a5\u7dda\u300d\u3068\u3044\u3046\u306e\u306f\u7c21\u5358\u306b\u3044\u3046\u3068\u3001\u300c\u3042\u308b\u70b9\u306b\u304a\u3044\u3066\u3001\u95a2\u6570\u3068\u4e00\u70b9\u3067\u63a5\u89e6\u3059\u308b\u76f4\u7dda\u300d\u306e\u3053\u3068\u3067\u3059<\/strong><\/span>\u3002\u3088\u308a\u53b3\u5bc6\u306a\u5b9a\u7fa9\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3059\u304c\u3001\u30d4\u30f3\u3068\u3053\u306a\u3044\u65b9\u306f\u8aad\u307f\u98db\u3070\u3057\u3066\u3044\u305f\u3060\u3044\u3066\u3082\u69cb\u3044\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u89e3\u6790\u5e7e\u4f55\u5b66\u306b\u304a\u3044\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u76f4\u7dda\u304c\u66f2\u7dda\\(y=f(x)\\)\u306e&nbsp;\\(x=c\\)\uff08\u3042\u308b\u3044\u306f\u66f2\u7dda\u4e0a\u306e\u70b9&nbsp;\\((c,&nbsp;f(c)\\)\uff09\u306b\u304a\u3051\u308b\u63a5\u7dda\u3067\u3042\u308b\u3068\u306f\u3001\u305d\u306e\u76f4\u7dda\u304c\u66f2\u7dda\u4e0a\u306e\u70b9\\((c,&nbsp;f(c)\\)\u3092\u901a\u308a\u3001\u50be\u304d\u304c\\(f\\)\u306e\u5fae\u5206\u4fc2\u6570\\(f'(c)\\)\u306b\u7b49\u3057\u3044\u3068\u304d\u306b\u8a00\u3046\u3002<\/p>\n<\/blockquote>\n\n\n\n<p>\u3055\u3066\u3001\u5148\u307b\u3069\u306e\u70b9A\u306b\u5bfe\u3057\u3066\u306f3\u672c\u306e\u63a5\u7dda\u304c\u5f15\u3051\u307e\u3059\u3002GeoGebra\u3067\u95a2\u6570\u306e\u63a5\u7dda\u3092\u5f15\u304f\u65b9\u6cd5\u306f\u5f8c\u307b\u3069\u89e3\u8aac\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u304c\u3001\u4e00\u672c\u3081\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u76f4\u7dda\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"792\" height=\"512\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0894.jpeg\" alt=\"\" class=\"wp-image-1365\" style=\"width:700px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u4e00\u672c\u3081\u306e\u63a5\u7dda<\/figcaption><\/figure>\n\n\n\n<p>\u540c\u3058\u3088\u3046\u306b2\u672c\u3081\u306e\u63a5\u7dda\u3092\u5f15\u3044\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"898\" height=\"533\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0895.jpeg\" alt=\"\" class=\"wp-image-1366\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0895.jpeg 898w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0895-300x178.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0895-768x456.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0895.jpeg 856w\" sizes=\"(max-width: 898px) 100vw, 898px\" \/><figcaption class=\"wp-element-caption\">2\u672c\u3081\u306e\u63a5\u7dda<\/figcaption><\/figure>\n\n\n\n<p>3\u672c\u3081\u306e\u63a5\u7dda\u3082\u5f15\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"936\" height=\"726\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg\" alt=\"\" class=\"wp-image-1367\" style=\"width:873px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg 936w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896-300x233.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896-768x596.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg 856w\" sizes=\"(max-width: 936px) 100vw, 936px\" \/><figcaption class=\"wp-element-caption\">3\u672c\u3081\u306e\u63a5\u7dda<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u5f62\u3067\u3001<span class=\"marker2\">\u70b9A\u3092\u901a\u904e\u3059\u308b3\u672c\u306e\u63a5\u7dda\u304c\u5f15\u3051\u307e\u3057\u305f<\/span>\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001<span class=\"marker2\">\u3069\u306e\u3088\u3046\u306a\u70b9\u306b\u5bfe\u3057\u3066\u3082\u3001\u305d\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u304c\u5e38\u306b3\u672c\u5f15\u3051\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u56f3\u306b\u793a\u3059\u70b9B\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u70b9B\u3092\u901a\u308b\u63a5\u7dda\u306f1\u672c\u3057\u304b\u5f15\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"965\" height=\"723\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0898.jpeg\" alt=\"\" class=\"wp-image-1368\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0898.jpeg 965w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0898-300x225.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0898-768x575.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0898.jpeg 856w\" sizes=\"(max-width: 965px) 100vw, 965px\" \/><figcaption class=\"wp-element-caption\">\u70b9B\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u306f1\u672c\u3057\u304b\u5b58\u5728\u3057\u306a\u3044\u3002<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\\(xy\\)\u5e73\u9762\u4e0a\u306b\u304a\u3051\u308b\u4efb\u610f\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u306e\u63a5\u7dda\u306e\u672c\u6570\u306f\u3001\u70b9\u306e\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u5909\u308f\u3063\u3066\u304f\u308b\u306e\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u306e\u554f\u984c\u3067\u306f\u300c\u70b9\u306e\u4f4d\u7f6e\u304c\u3069\u3053\u306b\u3042\u308c\u3070\u63a5\u7dda\u304c3\u672c\u5f15\u3051\u308b\u304b\uff1f\u300d\u3068\u3044\u3046\u3053\u3068\u3092\u554f\u3046\u3066\u3044\u307e\u3059\u3002<div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9913.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3044\u3064\u3067\u30823\u672c\u306e\u63a5\u7dda\u3092\u5f15\u3051\u308b\u308f\u3051\u3058\u3083\u306a\u3044\u306e\u306d\u3002 <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9903.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3058\u3083\u3042\u3001\u3069\u3046\u3044\u3046\u6642\u306b3\u672c\u306e\u63a5\u7dda\u304c\u5f3e\u3051\u308b\u3093\u3084\u308d\u304b\uff1f <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E3%81%97%E3%81%A6%E3%81%BF%E3%82%8B\"><\/span>\u5b9f\u9a13\u3057\u3066\u307f\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u70b9\u306e\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u63a5\u7dda\u306e\u672c\u6570\u304c\u5909\u308f\u308b\u3053\u3068\u304c\u8aac\u660e\u3067\u304d\u305f\u306e\u3067\u3001\u305d\u308c\u3067\u306f\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u305f\u3060\u3001<span class=\"marker2\">\u3053\u306e\u554f\u984c\u306f\u3082\u3068\u3082\u3068\u5927\u624b\u4e88\u5099\u6821\u3067\u89e3\u8aac\u3055\u308c\u308b\u3088\u3046\u306a\u5927\u5b66\u5165\u8a66\u30ec\u30d9\u30eb\u306e\u96e3\u554f<\/span>\u3067\u3059\u3002\u3053\u306e\u96e3\u554f\u3092\u308f\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u307e\u305a\u306f\u5b9f\u9a13\u7684\u306a\u89e3\u304d\u65b9\u3092\u3084\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306e\u89e3\u304d\u65b9\u306f\u3044\u308d\u3044\u308d\u3042\u308b\u3068\u601d\u3044\u307e\u3059\u304c\u3001<span class=\"marker\">GeoGebra\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u3092\u7528\u3044\u3066\u3082\u3088\u3044\u5834\u5408\u3001\u5730\u9053\u306b\u70b9\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\u3001\u63a5\u7dda\u306e\u672c\u6570\u3092\u8abf\u3079\u3066\u3044\u304f\u2026\u2026\u3068\u3044\u3046\u5b9f\u9a13\u7684\u306a\u65b9\u6cd5\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/span>\u3002\u5927\u5b66\u5165\u8a66\u306a\u3069\u3001\u5236\u9650\u6642\u9593\u5185\u306b\u81ea\u5206\u306e\u982d\u3060\u3051\u3067\u7b54\u3048\u3092\u51fa\u3055\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u72b6\u6cc1\u3067\u306f\u4f7f\u3048\u306a\u3044\u65b9\u6cd5\u3067\u3059\u304c\u3001\u3053\u306e\u554f\u984c\u3060\u3068\u3053\u3046\u3044\u3063\u305f\u5b9f\u9a13\u7684\u65b9\u6cd5\u304c\u3059\u3054\u304f\u6709\u52b9\u3060\u3063\u305f\u308a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1341\" height=\"1042\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910.jpeg\" alt=\"\" class=\"wp-image-1371\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910.jpeg 1341w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910-300x233.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910-1024x796.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910-768x597.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0910.jpeg 856w\" sizes=\"(max-width: 1341px) 100vw, 1341px\" \/><figcaption class=\"wp-element-caption\">\u5730\u9053\u306b\u70b9\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\u63a5\u7dda\u306e\u672c\u6570\u3092\u8abf\u3079\u3066\u3044\u3051\u3070\u3001\u3044\u305a\u308c\u7b54\u3048\u306b\u8fbf\u308a\u7740\u304f<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u306e\u5b9f\u9a13\u4f5c\u696d\u306f\u624b\u52d5\u3067\u3084\u3063\u3066\u3082\u3044\u3044\u3067\u3059\u3057\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u81ea\u52d5\u3067\u3084\u3089\u305b\u3066\u3082\u826f\u3044\u3067\u3059(\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u306e\u77e5\u8b58\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u3055\u307b\u3069\u96e3\u3057\u304f\u306f\u306a\u3044\u3067\u3059)\u3002<strong>\u5b9f\u969b\u306b\u70b9\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\u5b9f\u9a13\u3057\u3066\u307f\u308b\u3068\u3001\u77ed\u6642\u9593\u3067\u7b54\u3048\u306b\u5230\u9054\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/strong>\u3053\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u5927\u5b66\u5165\u8a66\u3067\u306e\u6a21\u7bc4\u7684\u89e3\u7b54\u3068\u306f\u7570\u306a\u308b\u90e8\u5206\u304c\u591a\u3044\u3067\u3059\u304c\u3001\u5b9f\u7528\u7684\u306b\u306f\u3053\u308c\u3082\u7acb\u6d3e\u306a\u89e3\u7b54\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"1640\" height=\"871\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg\" alt=\"\" class=\"wp-image-1372\" style=\"width:868px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-300x159.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-1024x544.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-768x408.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-1536x816.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\u3053\u306e\u554f\u984c\u306e\u7b54\u3048(\u7d2b\u8272\u3067\u5857\u308a\u3064\u3076\u3055\u308c\u305f\u7bc4\u56f2\u306b\u70b9\u304c\u3042\u308b\u3068\u304d\u3001\u305d\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u304c3\u672c\u306b\u306a\u308b)<\/figcaption><\/figure>\n\n\n\n<p><span class=\"marker\">GeoGebra\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u30bd\u30d5\u30c8\u306f\u3053\u3046\u3044\u3063\u305f\u5b9f\u9a13\u4f5c\u696d\u304c\u3068\u3066\u3082\u3084\u308a\u3084\u3059\u3044\u3068\u3044\u3046\u7279\u5fb4\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002<\/span>\u305c\u3072\u5b9f\u969b\u306b\u89e6\u3063\u3066\u3001\u305d\u306e\u826f\u3055\u3092\u4f53\u611f\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9912.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u70b9\u3084\u7dda\u304c\u52d5\u304b\u305b\u308b\u306e\u306f\u3061\u3087\u3063\u3068\u9762\u767d\u3044\u304b\u3082\uff01 <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9904.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u697d\u3057\u307f\u306a\u304c\u3089\u52c9\u5f37\u3059\u308b\u3068\u3001\u65e9\u304f\u7406\u89e3\u3067\u304d\u308b\u306f\u305a\u3084\u3067\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%8E%A5%E7%B7%9A%E3%81%AE%E6%96%B9%E7%A8%8B%E5%BC%8F%E3%82%92%E8%80%83%E3%81%88%E3%82%8B\"><\/span>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8003\u3048\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5b9f\u9a13\u7684\u306a\u89e3\u6cd5\u3067\u3082\u7b54\u3048\u306f\u51fa\u305b\u308b\u306e\u3067\u3059\u304c\u3001<span class=\"marker2\">\u5b9f\u9a13\u7684\u306a\u65b9\u6cd5\u306e\u96e3\u70b9\u306f\u300c\u5b9f\u9a13\u30c7\u30fc\u30bf\u304b\u3089\u5c0e\u304d\u51fa\u3055\u308c\u305f\u7b54\u3048\u306f\u3042\u304f\u307e\u3067\u3082\u4e88\u60f3\u306b\u904e\u304e\u306a\u3044\uff08\u53b3\u5bc6\u306a\u8a3c\u660e\u306b\u306a\u3063\u3066\u3044\u306a\u3044\uff09\u300d\u3053\u3068\u3067\u3059\u3002<\/span>\u8a3c\u660e\u304c\u3067\u304d\u3066\u3044\u306a\u3044\u3053\u3068\u3067\u3059\u3002<strong>\u3053\u306e\u554f\u984c\u306e\u53b3\u5bc6\u306a\u7b54\u3048\u3092\u77e5\u308b\u306b\u306f\u3001\u837b\u91ce\u5148\u751f\u306e\u8b1b\u7fa9\u3067\u3067\u3066\u304d\u305f\u300c\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u300d\u306b\u3064\u3044\u3066\u8003\u3048\u308b\u306e\u304c\u8fd1\u9053<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u66f2\u7dda\\(y=f(x)\\)\u306e\\(x=c\\)\u306b\u304a\u3051\u308b\u63a5\u7dda\u306f\u3001\u5a92\u4ecb\u5909\u6570\\(t\\)\u3092\u5229\u7528\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ \\begin{bmatrix} x\\\\ y\\\\\\end{bmatrix} = \\begin{bmatrix} c\\\\ f(c)\\\\\\end{bmatrix}+t \\begin{bmatrix} 1\\\\ f\u2019(c)\\\\\\end{bmatrix} $$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\\(f'(c)\\)\u306f\\(x=c\\)\u306b\u304a\u3051\u308b\u66f2\u7dda\\(f\\)\u306e\u5fae\u5206\u4fc2\u6570(\u50be\u304d)\u3067\u3059\u3002\u3053\u306e\u6570\u5f0f\u306f\u66f2\u7dda\u4e0a\u306e\u70b9\\((c,&nbsp;f(c)\\)\u3092\u901a\u308a\u3001\u50be\u304d\u304c\\(f'(c)\\)\u306b\u7b49\u3057\u3044\u76f4\u7dda\uff08\u3059\u306a\u308f\u3061\u3001\\(x=c\\)\u306b\u304a\u3051\u308b\u63a5\u7dda\uff09\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u306a\u304a\u3001\u837b\u91ce\u5148\u751f\u306e\u8b1b\u7fa9\u3067\u306f\\(t\\)\u3068\u3044\u3046\u8a18\u53f7\u3067\u63a5\u70b9\u3092\u8868\u3057\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u3053\u3053\u3067\u306fGeoGebra\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u3092\u4f7f\u3046\u90fd\u5408\u4e0a\u3001\u5a92\u4ecb\u5909\u6570\u3092\\(t\\)\u3068\u3057\u307e\u3059\u3002<div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9906.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u6b8b\u5ff5\u3084\u3051\u3069\u837b\u91ce\u5148\u751f\u306e\u8b1b\u7fa9\u3068\u306ft\u306e\u610f\u5473\u304c\u9055\u3046\u306d\u3093\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<p>\u3053\u306e\u65b9\u7a0b\u5f0f\u3092GeoGebra\u306b\u5165\u529b\u3057\u3066\u3001\u63a5\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u307f\u307e\u3059\u3002\u307e\u305a\u306f\u95a2\u6570\u3092\u5165\u529b\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u3053\u3067\u306f\\(y=f(x)=x^3-3x\\)\u306a\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5165\u529b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"716\" height=\"192\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0934.jpeg\" alt=\"\" class=\"wp-image-1386\"\/><figcaption class=\"wp-element-caption\">\u95a2\u6570\u3092\u5165\u529b\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u6b21\u306f\u95a2\u6570\u3092\u5fae\u5206\u3057\u307e\u3059\u3002GeoGebra\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30c0\u30c3\u30b7\u30e5\u8a18\u53f7\u3092\u3064\u3051\u308b\u3068\u5fae\u5206\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"973\" height=\"180\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0933.jpeg\" alt=\"\" class=\"wp-image-1387\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0933.jpeg 973w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0933-300x55.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0933-768x142.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0933.jpeg 856w\" sizes=\"(max-width: 973px) 100vw, 973px\" \/><figcaption class=\"wp-element-caption\">\u95a2\u6570\u3092\u5fae\u5206\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u305d\u306e\u6b21\u306f\u63a5\u7dda\u304c\u3069\u306e\u4f4d\u7f6e\u3067\u4e09\u6b21\u95a2\u6570\u3068\u63a5\u3059\u308b\u304b\u3092\u6307\u5b9a\u3059\u308b\u305f\u3081\u306e\u6570\u5024\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u4f5c\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u63a5\u7dda\u30923\u672c\u5f15\u304d\u305f\u3044\u306e\u3067\u3001\u6570\u5024\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u30923\u3064\u4f5c\u308b\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u6570\u5024\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u540d\u524d\u306f\u81ea\u7531\u306b\u8a2d\u5b9a\u3057\u3066\u826f\u3044\u3067\u3059\u304c\u3001\u3053\u3053\u3067\u306f\\(l,m,n\\)\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u3053\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30b9\u30e9\u30a4\u30c0\u30fc\u6a5f\u80fd\u3092\u4f7f\u3063\u3066\\(l,m,n\\)\u3092\u81ea\u7531\u306b\u5909\u66f4\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1552\" height=\"574\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935.jpeg\" alt=\"\" class=\"wp-image-1385\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935.jpeg 1552w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935-300x111.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935-1024x379.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935-768x284.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935-1536x568.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0935.jpeg 856w\" sizes=\"(max-width: 1552px) 100vw, 1552px\" \/><figcaption class=\"wp-element-caption\">\u30b9\u30e9\u30a4\u30c0\u30fc\u3067\u6570\u5024\u3092\u5165\u529b\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u3042\u3068\u306f\u5148\u307b\u3069\u306e\u5a92\u4ecb\u5909\u6570\u3092\u4f7f\u3063\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092GeoGebra\u306b\u5165\u529b\u3059\u308b\u3060\u3051\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u65b9\u7a0b\u5f0f\u306e\u5165\u529b\u4f8b\u3067\u3059\u3002\\(l,m,n\\)\u3068\u3044\u3046\u6570\u5024\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u65b9\u7a0b\u5f0f\u306b\u5165\u308c\u3066\u304a\u304f\u3068\u3001\\(l,m,n\\)\u3092\u5909\u66f4\u3057\u305f\u6642\u306b\u65b9\u7a0b\u5f0f\u304c\u518d\u8a08\u7b97\u3055\u308c\u308b\u306e\u3067\u3068\u3066\u3082\u4fbf\u5229\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"997\" height=\"314\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0932.jpeg\" alt=\"\" class=\"wp-image-1388\" style=\"width:691px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0932.jpeg 997w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0932-300x94.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0932-768x242.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0932.jpeg 856w\" sizes=\"(max-width: 997px) 100vw, 997px\" \/><figcaption class=\"wp-element-caption\">\u5a92\u4ecb\u5909\u6570\u3092\u7528\u3044\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5165\u529b\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u3042\u3068\u306f\u63a5\u7dda\u304c\u70b9A\u3092\u901a\u904e\u3059\u308b\u3088\u3046\u306b\\(l,m,n\\)\u306e\u6570\u5024\u3092\u8abf\u7bc0\u3057\u3066\u3042\u3052\u308c\u3070\u3001\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u304c\u66f8\u3051\u307e\u3059\u3002\\(x=l,m,n\\)\u306e\u5404\u70b9\u3067\u76f4\u7dda\u304c\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3068\u63a5\u3059\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"936\" height=\"726\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg\" alt=\"\" class=\"wp-image-1367\" style=\"width:700px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg 936w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896-300x233.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896-768x596.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0896.jpeg 856w\" sizes=\"(max-width: 936px) 100vw, 936px\" \/><figcaption class=\"wp-element-caption\">\u6570\u5024\u3092\u8abf\u7bc0\u3057\u3066\u76f4\u7dda\u304c\u70b9A\u3092\u901a\u308b\u3088\u3046\u306b\u3059\u308b\u3068\u3001\u5148\u307b\u3069\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u304c\u63cf\u3051\u308b<\/figcaption><\/figure>\n\n\n\n<p><div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9913.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3053\u306e\u307e\u307e\u3060\u3068\u70b9\u3092\u52d5\u304b\u3059\u305f\u3073\u306b\\(l,m,n\\)\u306e\u6570\u5024\u3092\u5909\u3048\u306a\u3044\u3068\u3044\u3051\u306a\u3044\u3093\u3058\u3083\u306a\u3044\uff1f <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9903.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u305d\u308c\u306e\u6539\u5584\u6848\u306b\u3064\u3044\u3066\u306f\u5f8c\u3067\u8aac\u660e\u3059\u308b\u3067\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u5148\u307b\u3069\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u5a92\u4ecb\u5909\u6570\\(t\\)\u3092\u6d88\u53bb\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6570\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u306e\u3067\u3001\u3053\u306e\u6570\u5f0f\u3092\u4f7f\u3063\u3066\u63a5\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u3082\u826f\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$ y = f\u2019(c) x +\\{f(c) &#8211; c f\u2019(c) \\}$$<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u3053\u3053\u3067\\(y=f(x)=x^3-3x\\)\u3001\\(y=f\u2019(x)=3x^2-3\\)\u3067\u3042\u308b\u3053\u3068\u3092\u4f7f\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u6570\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u3092\u4f7f\u3063\u3066\u63a5\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u3082\u826f\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$ y = (3c^2-3) x +\\{(c^3-3c) &#8211; c (3c^2-3) \\}$$<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u3001\u3054\u7d39\u4ecb\u3057\u305f\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u304c\u59a5\u5f53\u3067\u3042\u308b\u3053\u3068\u3092GeoGebra\u3067\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%BB%BB%E6%84%8F%E3%81%AE%E7%82%B9%E3%82%92%E9%80%9A%E9%81%8E%E3%81%99%E3%82%8B%E6%8E%A5%E7%B7%9A%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%80%83%E3%81%88%E3%82%8B\"><\/span>\u4efb\u610f\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u306b\u3064\u3044\u3066\u8003\u3048\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3055\u3066\u3001\u3088\u3046\u3084\u304f\u672c\u984c\u3067\u3059\u304c\u3001\u6b21\u306f\u4efb\u610f\u306e\u70b9\\( (a,b) \\)\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u5148\u307b\u3069\u306e\\(x=c\\)\u3067\u4e09\u6b21\u95a2\u6570\u3068\u63a5\u3059\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u3082\u3046\u5c11\u3057\u6574\u7406\u3059\u308b\u3068\u3001\\(c\\)\u306b\u95a2\u3059\u308b\u4ee5\u4e0b\u306e\u4e09\u6b21\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ 2c^3 -3 x c^2 +(3x + y) = 0$$<\/p>\n\n\n\n<p>\u6570\u5f0f\u3092\u5909\u5f62\u3059\u308b\u969b\u3001\u30df\u30b9\u3057\u305d\u3046\u3060\u3063\u305f\u306e\u3067\u3001\u79c1\u306fGeoGebra\u306eCAS\u30e2\u30fc\u30c9\uff08\u6570\u5f0f\u51e6\u7406\u6a5f\u80fd\uff09\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1253\" height=\"615\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936.jpeg\" alt=\"\" class=\"wp-image-1395\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936.jpeg 1253w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936-300x147.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936-1024x503.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936-768x377.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0936.jpeg 856w\" sizes=\"(max-width: 1253px) 100vw, 1253px\" \/><figcaption class=\"wp-element-caption\">GeoGebra\u306eCAS\u30e2\u30fc\u30c9\u3092\u4f7f\u3063\u3066\u6570\u5f0f\u3092\u6574\u7406\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u4e0a\u306e\u753b\u50cf\u3067\u306f\\(c\\)\u306e\u4ee3\u308f\u308a\u306b\\(\\gamma\\)\u3068\u3044\u3046\u8a18\u53f7\u3092\u4f7f\u3063\u3066\u3044\u307e\u3059\u304c\u3001\u305d\u306e\u3053\u3068\u306b\u6df1\u3044\u610f\u5473\u306f\u3042\u308a\u307e\u305b\u3093\u3002<div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9916.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u535a\u58eb\u306a\u306e\u306b\u8a08\u7b97\u306b\u81ea\u4fe1\u304c\u306a\u3044\u306e\uff1f <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9905.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u53d7\u9a13\u6570\u5b66\u30ec\u30d9\u30eb\u306e\u8a08\u7b97\u3063\u3066\u666e\u901a\u306b\u96e3\u3057\u3044\u3093\u3084\u3063\u3066\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<p>\u5148\u307b\u3069\u306e\u5f0f\u306b\\(x=a,y=b\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ 2c^3 -3 a c^2 +(3a + b) = 0$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(c=x\\)\u3068\u5909\u6570\u3092\u7f6e\u304d\u76f4\u3059\u3068\u3001\u4ee5\u4e0b\u306e\u6570\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ 2x^3 -3 a x^2 +(3a + b) = 0$$<\/p>\n\n\n\n<p>\u3053\u308c\u304c\u4efb\u610f\u306e\u70b9\\( (a,b) \\)\u3092\u901a\u904e\u3057\u3001\u4e09\u6b21\u95a2\u6570\u3068\u63a5\u3059\u308b\u63a5\u7dda\u304c\u3069\u3053\u3067\u4e09\u6b21\u95a2\u6570\u3068\u63a5\u3059\u308b\u304b\u3092\u8868\u3059\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3066\u3001\u6b21\u306f\u3053\u306e\u5f0f\u3068\\(y=f(x)=x^3-3x\\)\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3059\u3002\u5148\u307b\u3069\u306e\u5f0f\u306e\u5de6\u8fba\u3092\\(p(x)\\)\u3068\u7f6e\u304d\u3001\\(y=p(x)=2x^3 -3 a x^2 +(3a + b)\\)\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u307f\u307e\u3059\u3002\u305b\u3063\u304b\u304f\u306a\u306e\u3067\u3001\\(y=f(x)=x^3-3x\\)\u306e\u30b0\u30e9\u30d5\u3068\u91cd\u306d\u3066\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002GeoGebra\u306b\u3053\u308c\u3089\u306e\u5f0f\u3092\u5165\u529b\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u304c\u66f8\u3051\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1017\" height=\"660\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0939.jpeg\" alt=\"\" class=\"wp-image-1399\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0939.jpeg 1017w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0939-300x195.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0939-768x498.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0939.jpeg 856w\" sizes=\"(max-width: 1017px) 100vw, 1017px\" \/><figcaption class=\"wp-element-caption\">2\u672c\u306e\u30b0\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u3044\u3066\u307f\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u305d\u308c\u3067\u306f\u4ee5\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b\u3001\u95a2\u6570\\(p(x)\\)\u304c\u30bc\u30ed\u306b\u306a\u308b\u70b9\u3092O\u3001P\u3001Q\u3068\u305d\u308c\u305e\u308c\u7f6e\u304d\u3001\u305d\u3053\u304b\u3089\\(x\\)\u8ef8\u306b\u5782\u76f4\u306a\u76f4\u7dda\u3092\u5f15\u304d\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u305d\u308c\u3089\u306e\u76f4\u7dda\u3068\u95a2\u6570\\(f(x)\\)\u306e\u4ea4\u70b9\u3092R\u3001S\u3001T\u3068\u305d\u308c\u305e\u308c\u7f6e\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"833\" height=\"570\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0942.jpeg\" alt=\"\" class=\"wp-image-1400\"\/><figcaption class=\"wp-element-caption\">\u63a5\u70b9R\u3001S\u3001T\u3092\u63cf\u753b\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u70b9R\u3001S\u3001T\u3068\u70b9A\u3092\u7d50\u3076\u76f4\u7dda\u3092\u305d\u308c\u305e\u308c\u63cf\u753b\u3057\u3066\u307f\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u56f3\u304c\u63cf\u3051\u307e\u3059\u3002R\u3001S\u3001T\u306f\u70b9A\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u306e\u63a5\u70b9\u3067\u3042\u308b\u3053\u3068\u304c\u4ee5\u4e0b\u306e\u56f3\u304b\u3089\u308f\u304b\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"959\" height=\"640\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0940.jpeg\" alt=\"\" class=\"wp-image-1401\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0940.jpeg 959w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0940-300x200.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0940-768x513.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0940.jpeg 856w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/><figcaption class=\"wp-element-caption\">\u63a5\u70b9R\u3001S\u3001T\u3068\u70b9A\u3092\u7d50\u3076\u76f4\u7dda\u3092\u63cf\u753b\u3059\u308b<\/figcaption><\/figure>\n\n\n\n<p><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9904.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3053\u3046\u3044\u3046\u3075\u3046\u306b\u3059\u308c\u3070\u70b9\u3068\u63a5\u7dda\u304c\u9023\u52d5\u3057\u3066\u52d5\u304f\u3067\u3002 <\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9912.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3088\u304f\u308f\u304b\u3093\u306a\u3044\u3051\u3069\u3001\u304a\u3082\u3057\u308d\u3044\u308f\u306d\uff01<\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306bGeoGebra\u306e\u5404\u7a2e\u30c4\u30fc\u30eb\u3092\u4f7f\u3063\u3066\u63a5\u7dda\u3092\u5f15\u304f\u3068\u3001\u70b9A\u3092\u79fb\u52d5\u3055\u305b\u308b\u3068\u63a5\u7dda\u3082\u9023\u52d5\u3057\u3066\u5909\u5316\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u70b9A\u3092\u4e0b\u56f3\u306e\u4f4d\u7f6e\u306b\u79fb\u52d5\u3055\u305b\u3066\u307f\u307e\u3059\u3002\u305d\u3046\u3057\u305f\u5834\u5408\u3001\u63a5\u7dda\u306f1\u672c\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3053\u306e\u4f4d\u7f6e\u3067\u306f\\(p(x)=0\\)\u304c\u6210\u7acb\u3059\u308b\u30dd\u30a4\u30f3\u30c8\u304c\u4e00\u3064\u3057\u304b\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"701\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941-1024x701.jpeg\" alt=\"\" class=\"wp-image-1402\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941-1024x701.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941-300x205.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941-768x526.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941.jpeg 1090w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0941-1024x701.jpeg 856w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u70b9A\u306e\u4f4d\u7f6e\u3092\u5909\u3048\u308b\u3068\u76f4\u7dda\u306e\u6570\u304c1\u672c\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308b<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306bGeoGebra\u3067\u70b9\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u3044\u304f\u3068\u3001\u63a5\u7dda\u306e\u672c\u6570\u304c\\(p(x)=0\\)\u306e\u89e3\u306e\u6570\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E6%95%B0%E8%A7%A3%E3%81%8C3%E3%81%A4%E3%81%AB%E3%81%AA%E3%82%8B%E6%9D%A1%E4%BB%B6%E3%82%92%E8%80%83%E3%81%88%E3%82%8B\"><\/span>\u5b9f\u6570\u89e3\u304c3\u3064\u306b\u306a\u308b\u6761\u4ef6\u3092\u8003\u3048\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u63a5\u7dda\u306e\u672c\u6570\u304c\\(p(x)=0\\)\u306e\u89e3\u306e\u6570\u3068\u4e00\u81f4\u3059\u308b\u305f\u3081\u3001\u3053\u306e\u554f\u984c\u306e\u9375\u306f\\(p(x)=0\\)\u306e\u89e3\u306e\u6570\u3067\u3059\u3002GeoGebra\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u8a08\u7b97\u6a5f\u30c4\u30fc\u30eb\u3092\u4f7f\u3048\u308b\u306e\u3067\u3042\u308c\u3070\u89e3\u306e\u500b\u6570\u3092\u8abf\u3079\u308b\u65b9\u6cd5\u306f\u3044\u304f\u3089\u3067\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u3082\u3068\u3082\u3068\u3053\u308c\u306f\u5927\u5b66\u53d7\u9a13\u306e\u554f\u984c\u3002\u624b\u8a08\u7b97\u3067\u3082\u89e3\u3051\u308b\u65b9\u6cd5\u3092\u9078\u629e\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u837b\u91ce\u5148\u751f\u306e\u8b1b\u7fa9\u3067\u306f\\(p(x)\\)\u306e\u6975\u5024\u306e\u7b26\u53f7\u3092\u8abf\u3079\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3066\u3001GeoGebra\u306b\u306f\u6975\u5024\u3092\u8a08\u7b97\u3059\u308b\u30c4\u30fc\u30eb\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3053\u306e\u30c4\u30fc\u30eb\u3092\u4f7f\u3063\u3066\u95a2\u6570\\(p(x)\\)\u306e\u6975\u5024\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"647\" height=\"836\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0946.jpeg\" alt=\"\u6975\u5024\u30c4\u30fc\u30eb\" class=\"wp-image-1410\"\/><figcaption class=\"wp-element-caption\">\u6975\u5024\u30c4\u30fc\u30eb<\/figcaption><\/figure>\n\n\n\n<p>\u6975\u5024\u30c4\u30fc\u30eb\u3092\u4f7f\u3063\u3066\u307f\u305f\u7d50\u679c\u304c\u3053\u3061\u3089\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u70b9U\u3001\u70b9V\u3068\u3044\u3046\u70b9\u3067\u6975\u5024\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"649\" height=\"593\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0943.jpeg\" alt=\"\" class=\"wp-image-1407\" style=\"width:700px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u6975\u5024U\u3001V\u306ey\u6210\u5206\u304c\u7570\u7b26\u53f7\u3067\u3042\u308b\u6642\u306e\u4f8b<\/figcaption><\/figure>\n\n\n\n<p>\u95a2\u6570\\(p(x)\\)\u306e\u6975\u5024\u3068\u306f\\(p(x)\\)\u306e\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u70b9\u3001\u8a00\u3044\u63db\u3048\u308b\u3068\\(p\u2019(x)=0\\)\u3068\u306a\u308b\u70b9\u306e\u3053\u3068\u3067\u3059\u3002\u3053\u3053\u3067\u306f\\(p(x)=2x^3 -3 a x^2 +(3a + b)\\)\u3067\u3059\u304b\u3089\u3001\u4e21\u8fba\u5fae\u5206\u3059\u308b\u3068\\(p\u2019(x)=6x^2 -6 a x\\)\u3068\u306a\u308a\u307e\u3059\u3002\\(p\u2019(x)=0\\)\u306f\\(x(x-a)=0\\)\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u304b\u3089\u3001\\(p\u2019(x)=0\\)\u306e\u89e3\u306f\\(x=a,0\\)\u306e2\u3064\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\\(p(x)\\)\u306e\u6975\u5024\u306f\\((a,p(a))\\)\u3001\\((0,p(0))\\)\u306e2\u70b9\u3067\u3059\u3002\u4e0a\u306e\u56f3\u3092\u307f\u3066\u3001\u6975\u5024\u304c\\((a,p(a))\\)\u3001\\((0,p(0))\\)\u306e2\u70b9\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u5148\u307b\u3069\u306e\u56f3\u3067\u306f\u6975\u5024U\u3001V\u306e\\(y\\)\u6210\u5206\u306e\u7b26\u53f7\u304c\u305d\u308c\u305e\u308c\u7570\u306a\u3063\u3066\u3044\u307e\u3057\u305f\u3002\u3064\u307e\u308a\u3001\u6975\u5024U\u306e\\(y\\)\u6210\u5206\u306f\u30d7\u30e9\u30b9\u3001\u6975\u5024V\u306e\\(y\\)\u6210\u5206\u306f\u30de\u30a4\u30ca\u30b9\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u3001\\(p(x)=0\\)\u306f3\u3064\u306e\u5b9f\u6570\u89e3\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6975\u5024\u306e\u7b26\u53f7\u306b\u95a2\u3059\u308b\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u306a\u3044\u5834\u5408\u3001\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u306e\u6570\u306f1\u500b\uff08\u3082\u3057\u304f\u306f2\u500b\uff09\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b\u70b9A\u3092\u79fb\u52d5\u3055\u305b\u3066\u307f\u308b\u3068\u3001\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u306e\u6570\u306f1\u500b\u306b\u306a\u308a\u3001\u6975\u5024U\u306ey\u6210\u5206\u3068\u6975\u5024V\u306ey\u6210\u5206\u306f\u3069\u3061\u3089\u3082\u30d7\u30e9\u30b9\u306b\u306a\u308a\u307e\u3059\u3002\u70b9A\u306e\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u306f\u3001\u3069\u3061\u3089\u306e\u7b26\u53f7\u3082\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u6975\u5024U\u306ey\u6210\u5206\u3068\u6975\u5024V\u306ey\u6210\u5206\u306e\u7b26\u53f7\u304c\u540c\u3058\u5834\u5408\u3001\u57fa\u672c\u7684\u306b\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u306e\u6570\u306f1\u500b\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"588\" height=\"687\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0945.jpeg\" alt=\"\" class=\"wp-image-1409\"\/><figcaption class=\"wp-element-caption\">\u6975\u5024U\u3001V\u306ey\u6210\u5206\u304c\u540c\u7b26\u53f7\u3067\u3042\u308b\u6642\u306e\u4f8b<\/figcaption><\/figure>\n\n\n\n<p>\u4f8b\u5916\u7684\u306b\u6975\u5024U\u3001V\u306ey\u6210\u5206\u306e\u3044\u305a\u308c\u304b\u4e00\u65b9\u3060\u3051\u304c\u30bc\u30ed\u3068\u306a\u308b\u30b1\u30fc\u30b9\u3067\u306f\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u306e\u6570\u306f2\u500b\u306b\u306a\u308a\u307e\u3059(\u3044\u305a\u308c\u304b\u306e\u89e3\u304c\u91cd\u89e3\u3068\u306a\u308b\u305f\u3081)\u304c\u3001\u305d\u308c\u3092\u9664\u3051\u3070\u3001\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u306e\u6570\u306f1\u500b\u3082\u3057\u304f\u306f3\u500b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u304c3\u3064\u5b58\u5728\u3059\u308b\u305f\u3081\u306e\u6761\u4ef6\u3092\u6574\u7406\u3057\u307e\u3057\u3087\u3046\u3002\\(p(x)=0\\)\u306e\u5b9f\u6570\u89e3\u304c3\u3064\u5b58\u5728\u3059\u308b\u305f\u3081\u306b\u306f\u3001\\(p(a) \\neq 0\\)\u304b\u3064\\(p(0) \\neq 0\\)\u3067\u3042\u308a\u3001\u3055\u3089\u306b\\(p(a)\\)\u3068\\(p(0)\\)\u306e\u6b63\u8ca0\u306e\u7b26\u53f7\u304c\u7570\u306a\u3063\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6761\u4ef6\u306f\\(p(a) \\cdot p(0) &lt; 0\\)\u3068\u3044\u3046\u30b7\u30f3\u30d7\u30eb\u3067\u30a8\u30ec\u30ac\u30f3\u30c8\u306a\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9904.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u3053\u3053\u307e\u3067\u6765\u308c\u3070\u3001\u7b54\u3048\u307e\u3067\u306f\u3042\u3068\u4e00\u6b69\u3084\uff01\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9D%A1%E4%BB%B6%E3%82%92%E6%BA%80%E3%81%9F%E3%81%99%E7%AF%84%E5%9B%B2%E3%82%92%E5%9B%B3%E7%A4%BA%E3%81%99%E3%82%8B\"><\/span>\u6761\u4ef6\u3092\u6e80\u305f\u3059\u7bc4\u56f2\u3092\u56f3\u793a\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3042\u3068\u306f\\(p(a) \\cdot p(0) &lt; 0\\)\u3068\u3044\u3046\u4e0d\u7b49\u5f0f\u306e\u7bc4\u56f2\u304c\u30b0\u30e9\u30d5\u4e0a\u306e\u3069\u3053\u306b\u8a72\u5f53\u3059\u308b\u304b\u3092\u793a\u305b\u3070\u826f\u3044\u3067\u3059\u3002\u3053\u3053\u3067\u306f\\(p(x)=2x^3 -3 a x^2 +(3a + b)\\)\u3067\u3059\u304b\u3089\u3001\\(p(a)\\)\u3068\\(p(0)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\\begin{align}<br>p(a) &amp;= 2a^3 -3 a^3 +(3a + b)=-a^3 +3a + b\\\\<br>p(0) &amp;= 3a + b\\\\<br>\\end{align}$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(a=x\\)\u3001\\(b=y\\)\u306b\u5909\u6570\u3092\u7f6e\u304d\u76f4\u3059\u3068\u3068\u3082\u306b\u3001\u5f0f\u3092\u3059\u3053\u3057\u5197\u9577\u306a\u5f62\u306b\u5909\u5f62\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\\(p(a) \\cdot p(0) &lt; 0\\)\u3068\u3044\u3046\u4e0d\u7b49\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5f62\u3067\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\\begin{align}<br>((y &gt; x^3 -3x ) &amp;\\wedge (y&lt;-3x))\\\\<br>&amp;\\lor \\\\<br>((y &lt; x^3 -3x ) &amp;\\wedge (y&gt;-3x))\\\\<br>\\end{align}$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\\(\\wedge\\)\u306f\u8ad6\u7406\u7a4d(AND\u6f14\u7b97\u3001\u304b\u3064)\u3092\u3001\\(\\lor\\)\u306f\u8ad6\u7406\u548c(OR\u6f14\u7b97\u3001\u307e\u305f\u306f)\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u4e0a\u306e\u4e0d\u7b49\u5f0f\u3092GeoGebra\u3067\u63cf\u753b\u3057\u305f\u7d50\u679c\u304c\u3001\u4e0b\u8a18\u306e\u753b\u50cf\u3067\u3059(\u203b\u3053\u306e\u8a18\u4e8b\u306e\u524d\u534a\u90e8\u306b\u63b2\u8f09\u3057\u305f\u753b\u50cf\u3092\u518d\u63b2)\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" width=\"1640\" height=\"871\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg\" alt=\"\" class=\"wp-image-1372\" style=\"width:868px;height:auto\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg 1640w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-300x159.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-1024x544.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-768x408.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901-1536x816.jpeg 1536w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0901.jpeg 856w\" sizes=\"(max-width: 1640px) 100vw, 1640px\" \/><figcaption class=\"wp-element-caption\">\u3053\u306e\u554f\u984c\u306e\u7b54\u3048(\u7d2b\u8272\u3067\u5857\u308a\u3064\u3076\u3055\u308c\u305f\u7bc4\u56f2\u306b\u70b9\u304c\u3042\u308b\u3068\u304d\u3001\u305d\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u63a5\u7dda\u304c3\u672c\u306b\u306a\u308b)<\/figcaption><\/figure>\n\n\n\n<p>\u3053\u308c\u3067\u3001\u3053\u306e\u554f\u984c\u306b\u95a2\u3059\u308b\u4e88\u60f3\u304c\u6b63\u3057\u304b\u3063\u305f\u3053\u3068\u3092\u3088\u3046\u3084\u304f\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f(\u9577\u304b\u3063\u305f\u2026\u2026)\u3002<div class=\"balloon-box balloon-right balloon-yellow balloon-bg-yellow clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9910.png\" alt=\"\u304a\u5ac1\u69d8\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u304a\u5ac1\u69d8<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u5b9f\u9a13\u3067\u7b54\u3048\u3092\u4e88\u60f3\u3059\u308b\u306e\u306f\u7c21\u5358\u3060\u3063\u305f\u3051\u3069\u3001\u3061\u3083\u3093\u3068\u8a3c\u660e\u3059\u308b\u306e\u306f\u5927\u5909\u306a\u306e\u306d\u3002<\/div><\/div>\n\t<\/div><div class=\"balloon-box balloon-left balloon-green balloon-bg-green clearfix\">\n\t<div class=\"balloon-icon \"><img decoding=\"async\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2023\/04\/img_9902.png\" alt=\"\u30b1\u30f3\u30c2\u535a\u58eb\" width=\"80\" height=\"80\"><\/div>\n\t<div class=\"icon-name\">\u30b1\u30f3\u30c2\u535a\u58eb<\/div>\n\t<div class=\"balloon-serif\"><div class=\"balloon-content\"> \u305b\u3084\u306d\u3093\u3002\u306a\u304b\u306a\u304b\u6b6f\u5fdc\u3048\u304c\u3042\u308b\u554f\u984c\u3084\u306d\u3093\u3002 <\/div><\/div>\n\t<\/div><\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3001\u300c\\(y=-3x\\)\u3068\u3044\u3046\u30b0\u30e9\u30d5\u3001\u3069\u3053\u304b\u3067\u898b\u899a\u3048\u304c\u2026\u2026\u300d\u3068\u601d\u3063\u305f\u30a2\u30ca\u30bf\u306f\u92ed\u3044\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u3053\u306e\u8a18\u4e8b\u306e\u524d\u534a\u90e8\u306b\u63b2\u8f09\u3057\u305f\u30b0\u30e9\u30d5\u3092\u518d\u63b2\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1087\" height=\"828\" src=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg\" alt=\"\" class=\"wp-image-1364\" srcset=\"https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg 1087w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-300x229.jpeg 300w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-1024x780.jpeg 1024w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891-768x585.jpeg 768w, https:\/\/tale-sci.online\/wp-content\/uploads\/2024\/06\/IMG_0891.jpeg 856w\" sizes=\"(max-width: 1087px) 100vw, 1087px\" \/><figcaption class=\"wp-element-caption\">\u4e09\u6b21\u95a2\u6570\\(y=x^3\\)\u3068\u4e00\u6b21\u95a2\u6570\\(y=-3x\\)\u306e\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n\n\n\n<p>\u4e09\u6b21\u95a2\u6570\\(y=x^3\\)\u3068\u4e00\u6b21\u95a2\u6570\\(y=-3x\\)\u3092\u8db3\u3057\u5408\u308f\u305b\u305f\u3082\u306e\u304c\u3001\u3053\u306e\u554f\u984c\u3067\u53d6\u308a\u6271\u3063\u305f\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u3067\u3057\u305f\u3002<span class=\"marker2\">\u3053\u306e\u8a18\u4e8b\u306e\u524d\u534a\u90e8\u306b\u51fa\u3066\u304d\u305f\u4f55\u6c17\u306a\u3044\u4e00\u6b21\u95a2\u6570\u304c\u3053\u306e\u554f\u984c\u306e\u7b54\u3048\u3068\u6df1\u304f\u95a2\u9023\u3057\u3066\u3044\u308b\u3068\u3053\u308d\u304c\u8208\u5473\u6df1\u3044\u3067\u3059\u3088\u306d\u3002<\/span><\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3067\u3059\u304c\u3001\u3053\u306e\u554f\u984c\u3067\u53d6\u308a\u6271\u3063\u305f\u4e09\u6b21\u95a2\u6570\\(y=x^3-3x\\)\u3092\u4e8c\u968e\u5fae\u5206\u3059\u308b\u3068\u3001\u3055\u3089\u306b\u304a\u3082\u3057\u308d\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u4e8c\u968e\u5fae\u5206\u306e\u7d50\u679c\u306f\\(\\frac{\\mathrm{d}^2 y}{\\mathrm{d} x} = 6x\\)\u3067\u3059\u304c\u3001\u3053\u3053\u3067\\(\\frac{\\mathrm{d}^2 y}{\\mathrm{d} x} = 0\\)\u3068\u306a\u308b\u70b9\u3092\u8abf\u3079\u3066\u307f\u308b\u3068\u3001\\(x = 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