{"id":33706,"date":"2021-04-23T13:00:40","date_gmt":"2021-04-23T13:00:40","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33706"},"modified":"2025-07-30T20:24:17","modified_gmt":"2025-07-30T20:24:17","slug":"%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/","title":{"rendered":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea"},"content":{"rendered":"<p><center><\/p>\n<h1>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n   \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u3092\u63a2\u6c42\u3059\u308b\u3002\u7126\u70b9\u3068\u6e96\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u3068\u3057\u3066\u306e\u653e\u7269\u7dda\u3068\u3044\u3046\u5e7e\u4f55\u5b66\u7684\u8d77\u6e90\u306b\u7740\u76ee\u3059\u308b\u3002\u3053\u306e\u6982\u5ff5\u3092\u3082\u3068\u306b\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b\u70b9\u9593\u8ddd\u96e2\u3084\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\u306a\u3069\u306e\u4e8b\u524d\u77e5\u8b58\u3092\u5fa9\u7fd2\u3057\u3001\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u5c0e\u5165\u3059\u308b\u3002\u6700\u7d42\u7684\u306b\u3001\u4efb\u610f\u306e\u70b9\u3092\u9802\u70b9\u3068\u3059\u308b\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f62\u3092\u5c0e\u304d\u3001\u305d\u308c\u30922\u6b21\u65b9\u7a0b\u5f0f\u306e\u6a19\u6e96\u5f62\u3078\u3068\u5909\u5f62\u3059\u308b\u3002<br \/>\n   <\/em><\/p>\n<p><strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n   \u672c\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u307e\u3067\u306b\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<ol style=\"text-align:left;\">\n<li>\u653e\u7269\u7dda\u3092\u300c\u7126\u70b9\u3068\u6e96\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u300d\u3068\u3057\u3066\u5e7e\u4f55\u5b66\u7684\u306b<strong>\u7406\u89e3\u3059\u308b<\/strong>\u3002<\/li>\n<li>\u7126\u70b9\u3068\u6e96\u7dda\u306e\u8ddd\u96e2\u95a2\u4fc2\u3092\u5229\u7528\u3057\u3066\u3001\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u3092<strong>\u5c0e\u51fa\u3059\u308b<\/strong>\u3002<\/li>\n<li>\u653e\u7269\u7dda\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092<strong>\u7406\u89e3\u3059\u308b<\/strong>\u3002<\/li>\n<li>\u4efb\u610f\u306e\u70b9 (h,k) \u3092\u9802\u70b9\u3068\u3059\u308b\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092<strong>\u5c0e\u51fa\u3059\u308b<\/strong>\u3002<\/li>\n<\/ol>\n<p>   <strong>\u5185\u5bb9\u76ee\u6b21<\/strong><br \/>\n   <a href=\"#1\"><strong>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u5c0e\u51fa\u306e\u305f\u3081\u306e\u4e88\u5099\u77e5\u8b58<\/strong><\/a><br \/>\n   <a href=\"#2\">\u653e\u7269\u7dda\u306e\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5<\/a><br \/>\n   <a href=\"#3\">\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b2\u70b9\u9593\u306e\u8ddd\u96e2<\/a><br \/>\n   <a href=\"#4\">\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5<\/a><br \/>\n   <a href=\"#5\"><strong>\u653e\u7269\u7dda\u306e\u5b9a\u7fa9<\/strong><\/a><br \/>\n   <a href=\"#6\">\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa<\/a><br \/>\n   <a href=\"#7\">\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f<\/a><br \/>\n   <a href=\"#8\">\u653e\u7269\u7dda\u306e\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f\u30682\u6b21\u591a\u9805\u5f0f<\/a>\n   <\/p>\n<p>   <\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/O2EYxxK03jU\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"1\"><\/a><\/p>\n<h2>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u305f\u3081\u306e\u4e88\u5099\u7684\u306a\u8003\u5bdf<\/h2>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u653e\u7269\u7dda\u306e\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=130s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u3068\u306f\u3001<\/strong><\/a>\u3042\u308b\u56fa\u5b9a\u3055\u308c\u305f\u70b9\uff08\u7126\u70b9\uff09\u3068\u56fa\u5b9a\u3055\u308c\u305f\u76f4\u7dda\uff08\u6e96\u7dda\uff09\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u66f2\u7dda\u3067\u3042\u308b\u3002\u3053\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u3001\u4ee3\u6570\u7684\u306b\u6271\u3048\u308b\u8868\u73fe\u3001\u3059\u306a\u308f\u3061\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3078\u3068\u5909\u63db\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u3044\u304f\u3064\u304b\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u5fa9\u7fd2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b2\u70b9\u9593\u306e\u8ddd\u96e2<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=199s\" target=\"_blank\" rel=\"noopener\"><strong>2\u70b9\u3092\u8003\u3048\u308b\uff1a<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">p_1 = (x_1, y_1)<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">p_2 = (x_2, y_2)<\/span>\u3002\u3053\u308c\u3089\u306e\u70b9\u306e\u9593\u306e\u8ddd\u96e2\u306f\u3001\u305d\u308c\u3089\u3092\u7d50\u3076\u7dda\u5206\u306e\u9577\u3055\u3067\u3042\u308b\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-Nm00_Mr0PJE\/YIH_4rGiO0I\/AAAAAAAAE-s\/gLJ6gjIGUuwsDhwVt6pa3MDZ0YQXEgJVgCLcBGAsYHQ\/s0\/distancia.PNG\" alt=\"2\u70b9\u9593\u306e\u8ddd\u96e2\" class=\"aligncenter lazyload\" width=\"409\" height=\"263\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-Nm00_Mr0PJE\/YIH_4rGiO0I\/AAAAAAAAE-s\/gLJ6gjIGUuwsDhwVt6pa3MDZ0YQXEgJVgCLcBGAsYHQ\/s0\/distancia.PNG\" alt=\"2\u70b9\u9593\u306e\u8ddd\u96e2\" class=\"aligncenter lazyload\" width=\"409\" height=\"263\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u8ddd\u96e2\u306f\u3001\u6b21\u306e\u56f3\u306b\u793a\u3059\u3088\u3046\u306b<a href=\"https:\/\/youtu.be\/grjSzVl8Acw?t=553\" target=\"_blank\" rel=\"noopener\">\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406<\/a>\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-xOGFNRBeUU0\/YIIAohgMqNI\/AAAAAAAAE-0\/LCiSnSMHVwMpTGOnTchVFtkVL0izESn3ACLcBGAsYHQ\/s0\/teorema%2Bde%2Bpitagoras.PNG\" alt=\"\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\" class=\" aligncenter lazyload\" width=\"404\" height=\"255\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-xOGFNRBeUU0\/YIIAohgMqNI\/AAAAAAAAE-0\/LCiSnSMHVwMpTGOnTchVFtkVL0izESn3ACLcBGAsYHQ\/s0\/teorema%2Bde%2Bpitagoras.PNG\" alt=\"\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\" class=\" aligncenter lazyload\" width=\"404\" height=\"255\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u30012\u70b9\u9593\u306e\u8ddd\u96e2 <span class=\"katex-eq\" data-katex-display=\"false\">d<\/span> \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">d= \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}<\/span>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=390s\" target=\"_blank\" rel=\"noopener\"><strong>\u95a2\u6570\u3092\u8003\u3048\u308b\uff1a<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">y(x) = x^2<\/span>\u3002\u3053\u308c\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u304f\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u56f3\u306b\u306a\u308b\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-hf1AvDmNoYc\/YIIhv8_zkjI\/AAAAAAAAE_E\/kedKQoFwJSIkoIZgev9cQS--frmDbwTOwCLcBGAsYHQ\/s0\/traslacionDeGraficos1.PNG\" alt=\"\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\" class=\" aligncenter lazyload\" width=\"325\" height=\"321\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-hf1AvDmNoYc\/YIIhv8_zkjI\/AAAAAAAAE_E\/kedKQoFwJSIkoIZgev9cQS--frmDbwTOwCLcBGAsYHQ\/s0\/traslacionDeGraficos1.PNG\" alt=\"\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\" class=\" aligncenter lazyload\" width=\"325\" height=\"321\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u95a2\u6570\u306b\u304a\u3044\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u3092 <span class=\"katex-eq\" data-katex-display=\"false\">x-1<\/span> \u306b\u3001<span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> \u3092 <span class=\"katex-eq\" data-katex-display=\"false\">y-1<\/span> \u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u30b0\u30e9\u30d5\u306b\u6b21\u306e\u3088\u3046\u306a\u5909\u5316\u304c\u751f\u3058\u308b\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-TRHquCBRoB4\/YIIjbaFx5WI\/AAAAAAAAE_M\/ngYFLBH4y6AS4ywUaSwo2sscmAVT6viHgCLcBGAsYHQ\/s0\/traslacionDeGraficos2.PNG\" alt=\"\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\uff08\u5909\u5f62\uff09\" class=\" aligncenter lazyload\" width=\"352\" height=\"288\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-TRHquCBRoB4\/YIIjbaFx5WI\/AAAAAAAAE_M\/ngYFLBH4y6AS4ywUaSwo2sscmAVT6viHgCLcBGAsYHQ\/s0\/traslacionDeGraficos2.PNG\" alt=\"\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\uff08\u5909\u5f62\uff09\" class=\" aligncenter lazyload\" width=\"352\" height=\"288\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u4e00\u822c\u306b\u3001\u3053\u306e\u7a2e\u306e\u7f6e\u304d\u63db\u3048\u306f\u5e73\u884c\u79fb\u52d5\u3092\u5f15\u304d\u8d77\u3053\u3059\u3002\u305d\u306e\u6cd5\u5247\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><span class=\"katex-eq\" data-katex-display=\"false\">x\\longmapsto x-a<\/span>\uff1a<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u304c\u6b63\u306e\u5834\u5408\u3001\u30b0\u30e9\u30d5\u306f\u53f3\u3078 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u5358\u4f4d\u79fb\u52d5\u3057\u3001\u8ca0\u306e\u5834\u5408\u306f\u5de6\u3078\u79fb\u52d5\u3059\u308b\u3002<\/li>\n<li><strong><span class=\"katex-eq\" data-katex-display=\"false\">y\\longmapsto y-b<\/span>\uff1a<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u304c\u6b63\u306e\u5834\u5408\u3001\u4e0a\u3078 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u5358\u4f4d\u79fb\u52d5\u3057\u3001\u8ca0\u306e\u5834\u5408\u306f\u4e0b\u3078\u79fb\u52d5\u3059\u308b\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u308c\u3089\u304c\u5e73\u884c\u79fb\u52d5\u306b\u3088\u308b\u5909\u63db\u3067\u3042\u308a\u3001\u305d\u306e\u52b9\u679c\u306f\u6b21\u306e\u56f3\u306b\u8981\u7d04\u3055\u308c\u3066\u3044\u308b\uff1a<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-anQa6JMVTyA\/YIIm1AgBVbI\/AAAAAAAAE_U\/7aKD9WSMVawEwJXOnpqpr-cskL-NxoPUgCLcBGAsYHQ\/s0\/traslacionDeGraficos3.PNG\" alt=\"\u4e00\u822c\u7684\u306a\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\" class=\"aligncenter lazyload\" width=\"522\" height=\"314\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-anQa6JMVTyA\/YIIm1AgBVbI\/AAAAAAAAE_U\/7aKD9WSMVawEwJXOnpqpr-cskL-NxoPUgCLcBGAsYHQ\/s0\/traslacionDeGraficos3.PNG\" alt=\"\u4e00\u822c\u7684\u306a\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\" class=\"aligncenter lazyload\" width=\"522\" height=\"314\" \/><\/noscript><br \/>\n<a name=\"5\"><\/a><\/p>\n<h2>\u653e\u7269\u7dda\u306e\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\">\u653e\u7269\u7dda\u3068\u306f\u3001\u3042\u308b\u56fa\u5b9a\u3055\u308c\u305f\u70b9\u3068\u76f4\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u3059\u3079\u3066\u306e\u70b9\u306e\u96c6\u5408\u3067\u3042\u308b\u3002<br \/>\n<img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-16fe-qg141I\/YIH4NpKtc4I\/AAAAAAAAE-k\/ILLGwpB_IQQZbUBJvXOIl5HChpo8Noi_gCLcBGAsYHQ\/s0\/Parabola.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\" class=\"aligncenter lazyload\" width=\"426\" height=\"302\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-16fe-qg141I\/YIH4NpKtc4I\/AAAAAAAAE-k\/ILLGwpB_IQQZbUBJvXOIl5HChpo8Noi_gCLcBGAsYHQ\/s0\/Parabola.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\" class=\"aligncenter lazyload\" width=\"426\" height=\"302\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u56fa\u5b9a\u3055\u308c\u305f\u70b9\u306f<strong>\u7126\u70b9<\/strong>\u3068\u547c\u3070\u308c\u3001\u76f4\u7dda\u306f<strong>\u6e96\u7dda<\/strong>\u3068\u547c\u3070\u308c\u308b\u3002\u3053\u3053\u3067\u6ce8\u76ee\u3059\u3079\u304d\u70b9\u306f\u3001\u8ddd\u96e2\u3068\u3044\u3046\u6982\u5ff5\u304c\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\u306b\u304a\u3044\u3066\u672c\u8cea\u7684\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u308b\u3053\u3068\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u305d\u306e\u89e3\u6790\u3092\u6df1\u3081\u308b\u306b\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u4e0a\u3067\u306e\u8ddd\u96e2\u306e\u6e2c\u5b9a\u65b9\u6cd5\u3068\u305d\u306e\u4ee3\u6570\u7684\u306a\u8868\u73fe\u306b\u3064\u3044\u3066\u5fa9\u7fd2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=604s\" target=\"_blank\" rel=\"noopener\"><strong>\u5358\u7d14\u5316\u306e\u305f\u3081\u3001\u7126\u70b9\u3092<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">p_f = (0,f)<\/span>\u3001\u6e96\u7dda\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">y = -p<\/span> \u3068\u3044\u3046\u65b9\u7a0b\u5f0f\u3092\u3082\u3064\u76f4\u7dda <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> \u3068\u3059\u308b\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-XfDceUwcaFM\/YIIZEUT6DrI\/AAAAAAAAE-8\/keal2s_uSooVvkKsa3Sw1roANTDH8592QCLcBGAsYHQ\/s0\/analisisParabola.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\" class=\" aligncenter lazyload\" width=\"334\" height=\"249\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-XfDceUwcaFM\/YIIZEUT6DrI\/AAAAAAAAE-8\/keal2s_uSooVvkKsa3Sw1roANTDH8592QCLcBGAsYHQ\/s0\/analisisParabola.PNG\" alt=\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\" class=\" aligncenter lazyload\" width=\"334\" height=\"249\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u653e\u7269\u7dda\u4e0a\u306e\u4efb\u610f\u306e\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">(x,y)<\/span> \u3092\u8003\u3048\u308b\u3068\u3001\u3053\u306e\u70b9\u306f\u7126\u70b9\u304a\u3088\u3073\u6e96\u7dda\u306e\u4e21\u65b9\u304b\u3089\u7b49\u8ddd\u96e2\u3067\u3042\u308b\u3002\u3053\u306e\u95a2\u4fc2\u3092\u4ee3\u6570\u7684\u306b\u8868\u3059\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\uff1a<\/p>\n<p style=\"text-align: center;\">\u7126\u70b9\u2013\u70b9(x,y)\u9593\u306e\u8ddd\u96e2 <span class=\"katex-eq\" data-katex-display=\"false\">= \\sqrt{x^2 + (f-y)^2}= y+f =<\/span> \u70b9(x,y)\u2013\u6e96\u7dda\u9593\u306e\u8ddd\u96e2<\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u304b\u3089\u3001\u6b21\u306e\u3088\u3046\u306a\u8ad6\u7406\u5c55\u958b\u304c\u5f97\u3089\u308c\u308b\uff1a<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{x^2 + (f-y)^2}= y+f<\/span><\/td>\n<td>; \u70b9\u2013\u7126\u70b9\u9593\u306e\u8ddd\u96e2 = \u70b9\u2013\u6e96\u7dda\u9593\u306e\u8ddd\u96e2\uff08\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\uff09<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">x^2 + (f-y)^2= (y+f)^2<\/span><\/td>\n<td>; (1) \u3092\u4e21\u8fba2\u4e57\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">x^2 + \\cancel{f^2} - 2fy + \\cancel{y^2}= \\cancel{y^2} + 2fy + \\cancel{f^2}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">x^2 - 2fy = 2fy <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{y=\\dfrac{x^2}{4f}}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u3053\u305d\u304c\u3001\u79c1\u305f\u3061\u304c<strong>\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f<\/strong>\u3068\u547c\u3076\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u653e\u7269\u7dda\u306b\u6ce8\u76ee\u3059\u308b\u3068\u3001\u7126\u70b9\uff08\u307e\u305f\u306f\u6e96\u7dda\uff09\u306b\u6700\u3082\u8fd1\u3044\u70b9\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u3053\u306e\u70b9\u306f<strong>\u9802\u70b9<\/strong>\u3068\u547c\u3070\u308c\u3001\u3053\u306e\u5834\u5408\u306e\u5ea7\u6a19\u306f <span class=\"katex-eq\" data-katex-display=\"false\">(0,0)<\/span> \u3067\u3042\u308b\u3002\u7126\u70b9\u3068\u9802\u70b9\u3068\u306e\u8ddd\u96e2\u306f<strong>\u7126\u70b9\u8ddd\u96e2<\/strong>\u3068\u547c\u3070\u308c\u3001\u305d\u306e\u5024 <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u306f\u30bc\u30ed\u4ee5\u5916\u306e\u4efb\u610f\u306e\u5b9f\u6570\u3067\u3042\u308a\u5f97\u308b\u3002<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">f\\gt 0<\/span> \u306e\u3068\u304d\u3001\u653e\u7269\u7dda\u306f\u4e0a\u306b\u958b\u304d\u3001\u9006\u306b <span class=\"katex-eq\" data-katex-display=\"false\">f\\lt 0<\/span> \u306e\u3068\u304d\u306f\u4e0b\u306b\u958b\u304f\u3002<span class=\"katex-eq\" data-katex-display=\"false\">f \\to 0<\/span> \u3068\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u3001\u653e\u7269\u7dda\u306f\u6241\u5e73\u306b\u306a\u308a\u3001\u9802\u70b9\u306e\u4f4d\u7f6e\u3092\u4fdd\u3063\u305f\u307e\u307e\u6e96\u7dda\u304c\u9802\u70b9\u306b\u8fd1\u3065\u3044\u3066\u3044\u304d\u3001\u653e\u7269\u7dda\u3068\u6e96\u7dda\u304c\u4e00\u3064\u306e\u76f4\u7dda\u306b\u878d\u5408\u3059\u308b\u3088\u3046\u306b\u898b\u3048\u308b\u3002<span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u304c\u30bc\u30ed\u306b\u306a\u308b\u3068\u3001\u30bc\u30ed\u9664\u7b97\u304c\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3001\u30b0\u30e9\u30d5\u306f\u6d88\u6ec5\u3059\u308b\u3002<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=1007s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f<\/strong><\/a>\u3068\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\u306b\u57fa\u3065\u3044\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x \\longmapsto (x - h)<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">y \\longmapsto (y - k)<\/span> \u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u9802\u70b9\u304c <span class=\"katex-eq\" data-katex-display=\"false\">(h,k)<\/span> \u306b\u3042\u308b\u653e\u7269\u7dda\u306e<strong>\u4e00\u822c\u65b9\u7a0b\u5f0f<\/strong>\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(y-k) = \\dfrac{(x-h)^2}{4f}<\/span>\n<p><a name=\"8\"><\/a><\/p>\n<h3>\u653e\u7269\u7dda\u306e\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f\u30682\u6b21\u591a\u9805\u5f0f<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=1116s\" target=\"_blank\" rel=\"noopener\"><strong>\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u5c55\u958b\u3059\u308b\u3068\u3001<\/strong><\/a>\u6b21\u306e\u3088\u3046\u306a\u8ad6\u7406\u7684\u5c55\u958b\u304c\u5f97\u3089\u308c\u308b\uff1a<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(y-k) = \\dfrac{(x-h)^2}{4f}<\/span><\/td>\n<td>; \u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> 4f(y-k) = (x-h)^2<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> 4fy-4fk = x^2 - 2hx + h^2<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> 4fy = x^2 - 2hx + h^2 + 4fk<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> y = \\dfrac{1}{4f}x^2 - \\dfrac{h}{2f}x + \\dfrac{h^2 + 4fk}{4f}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u65b9\u7a0b\u5f0f\u306b\u304a\u3044\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">a=\\dfrac{1}{4f}<\/span>\u3001<span class=\"katex-eq\" data-katex-display=\"false\">b=-\\dfrac{2h}{4f}<\/span>\u3001<span class=\"katex-eq\" data-katex-display=\"false\">c=\\dfrac{h^2 + 4fk}{4f}<\/span> \u3068\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u306f\u6a19\u6e96\u5f62\u3078\u3068\u5909\u63db\u3055\u308c\u3001\u305d\u308c\u306f\u307e\u3055\u306b <a href=\"https:\/\/toposuranos.com\/factorizacion-del-polinomio-cuadratico-y-2n-cuadratico\/\" rel=\"noopener\" target=\"_blank\">2\u6b21\u591a\u9805\u5f0f<\/a> \u306e\u5f62\u305d\u306e\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{y=ax^2 + bx + c}<\/span>\n","protected":false},"excerpt":{"rendered":"<p>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea \u8981\u7d04\uff1a \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u3092\u63a2\u6c42\u3059\u308b\u3002\u7126\u70b9\u3068\u6e96\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u3068\u3057\u3066\u306e\u653e\u7269\u7dda\u3068\u3044\u3046\u5e7e\u4f55\u5b66\u7684\u8d77\u6e90\u306b\u7740\u76ee\u3059\u308b\u3002\u3053\u306e\u6982\u5ff5\u3092\u3082\u3068\u306b\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b\u70b9\u9593\u8ddd\u96e2\u3084\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5\u306a\u3069\u306e\u4e8b\u524d\u77e5\u8b58\u3092\u5fa9\u7fd2\u3057\u3001\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u5c0e\u5165\u3059\u308b\u3002\u6700\u7d42\u7684\u306b\u3001\u4efb\u610f\u306e\u70b9\u3092\u9802\u70b9\u3068\u3059\u308b\u653e\u7269\u7dda\u306e\u4e00\u822c\u5f62\u3092\u5c0e\u304d\u3001\u305d\u308c\u30922\u6b21\u65b9\u7a0b\u5f0f\u306e\u6a19\u6e96\u5f62\u3078\u3068\u5909\u5f62\u3059\u308b\u3002 \u5b66\u7fd2\u76ee\u6a19\uff1a \u672c\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u307e\u3067\u306b\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002 \u653e\u7269\u7dda\u3092\u300c\u7126\u70b9\u3068\u6e96\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u300d\u3068\u3057\u3066\u5e7e\u4f55\u5b66\u7684\u306b\u7406\u89e3\u3059\u308b\u3002 \u7126\u70b9\u3068\u6e96\u7dda\u306e\u8ddd\u96e2\u95a2\u4fc2\u3092\u5229\u7528\u3057\u3066\u3001\u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u3002 \u653e\u7269\u7dda\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u3002 \u4efb\u610f\u306e\u70b9 (h,k) \u3092\u9802\u70b9\u3068\u3059\u308b\u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u3002 \u5185\u5bb9\u76ee\u6b21 \u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u5c0e\u51fa\u306e\u305f\u3081\u306e\u4e88\u5099\u77e5\u8b58 \u653e\u7269\u7dda\u306e\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5 \u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b2\u70b9\u9593\u306e\u8ddd\u96e2 \u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5 \u653e\u7269\u7dda\u306e\u5b9a\u7fa9 \u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa \u653e\u7269\u7dda\u306e\u4e00\u822c\u65b9\u7a0b\u5f0f \u653e\u7269\u7dda\u306e\u6a19\u6e96\u5f62\u65b9\u7a0b\u5f0f\u30682\u6b21\u591a\u9805\u5f0f \u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u305f\u3081\u306e\u4e88\u5099\u7684\u306a\u8003\u5bdf \u653e\u7269\u7dda\u306e\u5e7e\u4f55\u5b66\u7684\u6982\u5ff5 \u653e\u7269\u7dda\u3068\u306f\u3001\u3042\u308b\u56fa\u5b9a\u3055\u308c\u305f\u70b9\uff08\u7126\u70b9\uff09\u3068\u56fa\u5b9a\u3055\u308c\u305f\u76f4\u7dda\uff08\u6e96\u7dda\uff09\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u70b9\u306e\u96c6\u5408\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u66f2\u7dda\u3067\u3042\u308b\u3002\u3053\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u3001\u4ee3\u6570\u7684\u306b\u6271\u3048\u308b\u8868\u73fe\u3001\u3059\u306a\u308f\u3061\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3078\u3068\u5909\u63db\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u3044\u304f\u3064\u304b\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u5fa9\u7fd2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002 \u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u306b\u304a\u3051\u308b2\u70b9\u9593\u306e\u8ddd\u96e2 2\u70b9\u3092\u8003\u3048\u308b\uff1a \u304a\u3088\u3073 \u3002\u3053\u308c\u3089\u306e\u70b9\u306e\u9593\u306e\u8ddd\u96e2\u306f\u3001\u305d\u308c\u3089\u3092\u7d50\u3076\u7dda\u5206\u306e\u9577\u3055\u3067\u3042\u308b\u3002 \u3053\u306e\u8ddd\u96e2\u306f\u3001\u6b21\u306e\u56f3\u306b\u793a\u3059\u3088\u3046\u306b\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u3057\u305f\u304c\u3063\u3066\u30012\u70b9\u9593\u306e\u8ddd\u96e2 \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\uff1a \u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5 \u95a2\u6570\u3092\u8003\u3048\u308b\uff1a \u3002\u3053\u308c\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u304f\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u56f3\u306b\u306a\u308b\u3002 \u3053\u306e\u95a2\u6570\u306b\u304a\u3044\u3066\u3001 \u3092 \u306b\u3001 \u3092 \u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u30b0\u30e9\u30d5\u306b\u6b21\u306e\u3088\u3046\u306a\u5909\u5316\u304c\u751f\u3058\u308b\u3002 \u4e00\u822c\u306b\u3001\u3053\u306e\u7a2e\u306e\u7f6e\u304d\u63db\u3048\u306f\u5e73\u884c\u79fb\u52d5\u3092\u5f15\u304d\u8d77\u3053\u3059\u3002\u305d\u306e\u6cd5\u5247\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\uff1a \uff1a \u304c\u6b63\u306e\u5834\u5408\u3001\u30b0\u30e9\u30d5\u306f\u53f3\u3078 \u5358\u4f4d\u79fb\u52d5\u3057\u3001\u8ca0\u306e\u5834\u5408\u306f\u5de6\u3078\u79fb\u52d5\u3059\u308b\u3002 \uff1a \u304c\u6b63\u306e\u5834\u5408\u3001\u4e0a\u3078 \u5358\u4f4d\u79fb\u52d5\u3057\u3001\u8ca0\u306e\u5834\u5408\u306f\u4e0b\u3078\u79fb\u52d5\u3059\u308b\u3002 \u3053\u308c\u3089\u304c\u5e73\u884c\u79fb\u52d5\u306b\u3088\u308b\u5909\u63db\u3067\u3042\u308a\u3001\u305d\u306e\u52b9\u679c\u306f\u6b21\u306e\u56f3\u306b\u8981\u7d04\u3055\u308c\u3066\u3044\u308b\uff1a \u653e\u7269\u7dda\u306e\u5b9a\u7fa9 \u653e\u7269\u7dda\u3068\u306f\u3001\u3042\u308b\u56fa\u5b9a\u3055\u308c\u305f\u70b9\u3068\u76f4\u7dda\u304b\u3089\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u3059\u3079\u3066\u306e\u70b9\u306e\u96c6\u5408\u3067\u3042\u308b\u3002 \u56fa\u5b9a\u3055\u308c\u305f\u70b9\u306f\u7126\u70b9\u3068\u547c\u3070\u308c\u3001\u76f4\u7dda\u306f\u6e96\u7dda\u3068\u547c\u3070\u308c\u308b\u3002\u3053\u3053\u3067\u6ce8\u76ee\u3059\u3079\u304d\u70b9\u306f\u3001\u8ddd\u96e2\u3068\u3044\u3046\u6982\u5ff5\u304c\u653e\u7269\u7dda\u306e\u5b9a\u7fa9\u306b\u304a\u3044\u3066\u672c\u8cea\u7684\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u308b\u3053\u3068\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u305d\u306e\u89e3\u6790\u3092\u6df1\u3081\u308b\u306b\u306f\u3001\u30c7\u30ab\u30eb\u30c8\u5e73\u9762\u4e0a\u3067\u306e\u8ddd\u96e2\u306e\u6e2c\u5b9a\u65b9\u6cd5\u3068\u305d\u306e\u4ee3\u6570\u7684\u306a\u8868\u73fe\u306b\u3064\u3044\u3066\u5fa9\u7fd2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002 \u653e\u7269\u7dda\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa \u5358\u7d14\u5316\u306e\u305f\u3081\u3001\u7126\u70b9\u3092 \u3001\u6e96\u7dda\u3092 \u3068\u3044\u3046\u65b9\u7a0b\u5f0f\u3092\u3082\u3064\u76f4\u7dda \u3068\u3059\u308b\u3002 \u653e\u7269\u7dda\u4e0a\u306e\u4efb\u610f\u306e\u70b9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28890,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":19,"footnotes":""},"categories":[1308,1300],"tags":[],"class_list":["post-33706","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1308","category--ja"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/ja\/\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\" \/>\n<meta property=\"og:description\" content=\"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/ja\/\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-04-23T13:00:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-30T20:24:17+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\" \/>\n<meta name=\"twitter:description\" content=\"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\",\"datePublished\":\"2021-04-23T13:00:40+00:00\",\"dateModified\":\"2025-07-30T20:24:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/\"},\"wordCount\":243,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/parabolas.jpg\",\"articleSection\":[\"\u4ee3\u6570\u5b66\u3068\u5e7e\u4f55\u5b66\",\"\u6570\u5b66\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/\",\"name\":\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/parabolas.jpg\",\"datePublished\":\"2021-04-23T13:00:40+00:00\",\"dateModified\":\"2025-07-30T20:24:17+00:00\",\"description\":\"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#primaryimage\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/parabolas.jpg\",\"contentUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/parabolas.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ja\\\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\\\/\\\/toposuranos.com\\\/material\"],\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea - toposuranos.com\/material","description":"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/toposuranos.com\/material\/ja\/\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\/","og_locale":"es_ES","og_type":"article","og_title":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea","og_description":"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002","og_url":"https:\/\/toposuranos.com\/material\/ja\/\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-04-23T13:00:40+00:00","article_modified_time":"2025-07-30T20:24:17+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea","twitter_description":"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002","twitter_image":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#article","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/"},"author":{"name":"giorgio.reveco","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea","datePublished":"2021-04-23T13:00:40+00:00","dateModified":"2025-07-30T20:24:17+00:00","mainEntityOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/"},"wordCount":243,"commentCount":0,"publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg","articleSection":["\u4ee3\u6570\u5b66\u3068\u5e7e\u4f55\u5b66","\u6570\u5b66"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/","url":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/","name":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea - toposuranos.com\/material","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#primaryimage"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg","datePublished":"2021-04-23T13:00:40+00:00","dateModified":"2025-07-30T20:24:17+00:00","description":"\u3053\u306e\u8b1b\u7fa9\u3067\u306f\u3001\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u57fa\u672c\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa\u65b9\u6cd5\u30682\u6b21\u591a\u9805\u5f0f\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u307e\u3059\u3002","breadcrumb":{"@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#primaryimage","url":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg","contentUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/parabolas.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"https:\/\/toposuranos.com\/material\/ja\/%e6%94%be%e7%89%a9%e7%b7%9a%e3%81%ae%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%81%a8%e6%80%a7%e8%b3%aa\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\uff1a\u5b9a\u7fa9\u3068\u6027\u8cea"}]},{"@type":"WebSite","@id":"https:\/\/toposuranos.com\/material\/#website","url":"https:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"https:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"https:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"https:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/33706","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=33706"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/33706\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/28890"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=33706"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=33706"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=33706"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}