{"id":1282,"date":"2025-09-24T21:17:24","date_gmt":"2025-09-25T03:17:24","guid":{"rendered":"https:\/\/portal.pronea.gt\/?p=1282"},"modified":"2025-09-24T21:17:24","modified_gmt":"2025-09-25T03:17:24","slug":"temporary-title-790-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2","status":"publish","type":"post","link":"https:\/\/portal.pronea.gt\/?p=1282","title":{"rendered":"Resoluci\u00f3n de problemas con funciones c\u00f3nicas"},"content":{"rendered":"<div id=\"cmsmasters_row_\" class=\"cmsmasters_row cmsmasters_color_scheme_default cmsmasters_row_top_default cmsmasters_row_bot_default cmsmasters_row_boxed\">\n<div class=\"cmsmasters_row_outer_parent\">\n<div class=\"cmsmasters_row_outer\">\n<div class=\"cmsmasters_row_inner\">\n<div class=\"cmsmasters_row_margin\">\n<div id=\"cmsmasters_column_\" class=\"cmsmasters_column one_first\">\n<div class=\"cmsmasters_column_inner\"><div class=\"cmsmasters_text\" data-animation=\"fadeIn\">\n<p data-start=\"2220\" data-end=\"2543\">Las <strong data-start=\"2224\" data-end=\"2245\">funciones c\u00f3nicas<\/strong> son curvas que surgen al cortar un cono con un plano, dando lugar a figuras tan conocidas como la circunferencia, la elipse, la par\u00e1bola y la hip\u00e9rbola. M\u00e1s all\u00e1 de su definici\u00f3n matem\u00e1tica, estas funciones nos ayudan a resolver problemas reales en la ciencia, la tecnolog\u00eda y la vida cotidiana.<\/p>\n<p data-start=\"2545\" data-end=\"2619\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f3a5.svg\" alt=\"\ud83c\udfa5\" \/> <strong data-start=\"2548\" data-end=\"2570\">Mira el video aqu\u00ed<\/strong><\/p>\n<iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/v70BbOdtS5Q?si=hg3PhnQpJP_9mYPf\" width=\"1120\" height=\"630\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\n<p data-start=\"2545\" data-end=\"2619\">\n<hr data-start=\"2621\" data-end=\"2624\" \/>\n<h2 data-start=\"2626\" data-end=\"2690\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4cd.svg\" alt=\"\ud83d\udccd\" \/> \u00bfQu\u00e9 significa resolver problemas con funciones c\u00f3nicas?<\/h2>\n<p data-start=\"2691\" data-end=\"2799\">Resolver problemas con funciones c\u00f3nicas implica usar sus ecuaciones para explicar y predecir situaciones.<\/p>\n<ul>\n<li data-start=\"2802\" data-end=\"2863\"><strong data-start=\"2802\" data-end=\"2821\">Circunferencia:<\/strong> distancia igual desde un punto central.<\/li>\n<li data-start=\"2866\" data-end=\"2926\"><strong data-start=\"2866\" data-end=\"2877\">Elipse:<\/strong> movimientos orbitales y trayectorias cerradas.<\/li>\n<li data-start=\"2929\" data-end=\"2995\"><strong data-start=\"2929\" data-end=\"2942\">Par\u00e1bola:<\/strong> trayectorias de proyectiles y dise\u00f1os parab\u00f3licos.<\/li>\n<li data-start=\"2998\" data-end=\"3064\"><strong data-start=\"2998\" data-end=\"3012\">Hip\u00e9rbola:<\/strong> fen\u00f3menos de ondas y estructuras arquitect\u00f3nicas.<\/li>\n<\/ul>\n<hr data-start=\"3066\" data-end=\"3069\" \/>\n<h2 data-start=\"3071\" data-end=\"3098\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f6e0.svg\" alt=\"\ud83d\udee0\ufe0f\" \/> Ejemplos pr\u00e1cticos<\/h2>\n<ol>\n<li data-start=\"3102\" data-end=\"3172\">Calcular la \u00f3rbita de un sat\u00e9lite que se desplaza en forma el\u00edptica.<\/li>\n<li data-start=\"3176\" data-end=\"3244\">Determinar la trayectoria parab\u00f3lica de un objeto lanzado al aire.<\/li>\n<li data-start=\"3248\" data-end=\"3318\">Analizar la estructura de un puente colgante con forma de hip\u00e9rbola.<\/li>\n<li data-start=\"3322\" data-end=\"3375\">Resolver distancias y radios en una circunferencia.<\/li>\n<\/ol>\n<hr data-start=\"3377\" data-end=\"3380\" \/>\n<h2 data-start=\"3382\" data-end=\"3418\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f30d.svg\" alt=\"\ud83c\udf0d\" \/> Aplicaciones en la vida real<\/h2>\n<ul>\n<li data-start=\"3421\" data-end=\"3488\"><strong data-start=\"3421\" data-end=\"3436\">Astronom\u00eda:<\/strong> \u00f3rbitas planetarias y trayectorias espaciales. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f30c.svg\" alt=\"\ud83c\udf0c\" \/><\/li>\n<li data-start=\"3491\" data-end=\"3554\"><strong data-start=\"3491\" data-end=\"3506\">Ingenier\u00eda:<\/strong> dise\u00f1o de puentes, reflectores y c\u00fapulas. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f3d7.svg\" alt=\"\ud83c\udfd7\ufe0f\" \/><\/li>\n<li data-start=\"3557\" data-end=\"3625\"><strong data-start=\"3557\" data-end=\"3572\">Tecnolog\u00eda:<\/strong> antenas parab\u00f3licas y sistemas de comunicaci\u00f3n. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4e1.svg\" alt=\"\ud83d\udce1\" \/><\/li>\n<li data-start=\"3628\" data-end=\"3707\"><strong data-start=\"3628\" data-end=\"3645\">Arquitectura:<\/strong> formas el\u00edpticas e hiperb\u00f3licas en grandes estructuras. <img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f3db.svg\" alt=\"\ud83c\udfdb\ufe0f\" \/><\/li>\n<\/ul>\n<hr data-start=\"3709\" data-end=\"3712\" \/>\n<h2 data-start=\"3714\" data-end=\"3741\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f393.svg\" alt=\"\ud83c\udf93\" \/> Aprender con PRONEA<\/h2>\n<p data-start=\"3742\" data-end=\"4029\">El <strong data-start=\"3745\" data-end=\"3800\">Programa Nacional de Educaci\u00f3n Alternativa \u2013PRONEA\u2013<\/strong> del Ministerio de Educaci\u00f3n de Guatemala brinda herramientas claras para que j\u00f3venes y adultos aprendan a <strong data-start=\"3907\" data-end=\"3951\">resolver problemas con funciones c\u00f3nicas<\/strong>, fortaleciendo su capacidad de an\u00e1lisis y resoluci\u00f3n de situaciones reales.<\/p>\n<hr data-start=\"4031\" data-end=\"4034\" \/>\n<h2 data-start=\"4036\" data-end=\"4053\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/2705.svg\" alt=\"\u2705\" \/> Conclusi\u00f3n<\/h2>\n<p data-start=\"4054\" data-end=\"4236\">Resolver problemas con <strong data-start=\"4077\" data-end=\"4098\">funciones c\u00f3nicas<\/strong> no solo es una habilidad matem\u00e1tica, sino una ventana para entender el mundo y aplicar el conocimiento en distintos \u00e1mbitos de la vida.<\/p>\n<p data-start=\"4238\" data-end=\"4343\"><img decoding=\"async\" class=\"emoji\" role=\"img\" draggable=\"false\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f449.svg\" alt=\"\ud83d\udc49\" \/> Con el <strong data-start=\"4248\" data-end=\"4258\">PRONEA<\/strong>, las matem\u00e1ticas dejan de ser abstractas para convertirse en soluciones concretas.<\/p>\n<\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":1284,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"image","meta":{"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":""},"categories":[33,39],"tags":[],"class_list":["post-1282","post","type-post","status-publish","format-image","has-post-thumbnail","hentry","category-matematicas","category-recursos","post_format-post-format-image"],"_links":{"self":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1282","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1282"}],"version-history":[{"count":2,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1282\/revisions"}],"predecessor-version":[{"id":1285,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1282\/revisions\/1285"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/media\/1284"}],"wp:attachment":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}