{"id":1454,"date":"2022-08-04T13:44:41","date_gmt":"2022-08-04T13:44:41","guid":{"rendered":"https:\/\/esfinge.mx\/inicio\/?post_type=product&#038;p=1454"},"modified":"2026-03-29T02:00:16","modified_gmt":"2026-03-29T08:00:16","slug":"geometria-analitica-3","status":"publish","type":"product","link":"https:\/\/esfinge.mx\/inicio\/producto\/geometria-analitica-3\/","title":{"rendered":"Geometr\u00eda Anal\u00edtica"},"content":{"rendered":"<p class=\"p1\">La geometr\u00eda anal\u00edtica<\/p>\n<p class=\"p1\">y los sistemas de referencia &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;9<\/p>\n<p class=\"p2\">Prop\u00f3sito<\/p>\n<p class=\"p2\">Eje<\/p>\n<p class=\"p2\">Contenido central<\/p>\n<p class=\"p2\">Aprendizajes esperados<\/p>\n<p class=\"p2\">Competencias gen\u00e9ricas<\/p>\n<p class=\"p2\">Competencias disciplinares<\/p>\n<p class=\"p2\">Formulario &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 10<\/p>\n<p class=\"p2\">Evaluaci\u00f3n diagn\u00f3stica &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 11<\/p>\n<p class=\"p3\">Desarrollo de Habilidades Socioemocionales &#8230;&#8230;..12<\/p>\n<p class=\"p4\">Sistemas de coordenadas &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 12<\/p>\n<p class=\"p5\">Sistema de coordenadas rectangulares &#8230;&#8230;&#8230;&#8230;&#8230;..12<\/p>\n<p class=\"p6\">Plano cartesiano &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 12<\/p>\n<p class=\"p6\">Coordenadas rectangulares<\/p>\n<p class=\"p6\">(coordenadas cartesianas)&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 13<\/p>\n<p class=\"p6\">Localizaci\u00f3n de puntos en el plano &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 13<\/p>\n<p class=\"p6\">Identificaci\u00f3n de cuadrantes&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.14<\/p>\n<p class=\"p4\">Sistema de coordenadas polares &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 15<\/p>\n<p class=\"p5\">Plano polar &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.16<\/p>\n<p class=\"p5\">Coordenadas polares &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.16<\/p>\n<p class=\"p5\">\u00c1ngulo real y \u00e1ngulo reducido &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.16<\/p>\n<p class=\"p5\">Localizaci\u00f3n de vectores en el plano &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.17<\/p>\n<p class=\"p4\">Transformaci\u00f3n de coordenadas &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.19<\/p>\n<p class=\"p5\">Transformaci\u00f3n de una coordenada<\/p>\n<p class=\"p5\">rectangular a polar &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.19<\/p>\n<p class=\"p5\">Casos especiales &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..21<\/p>\n<p class=\"p4\">Transformaci\u00f3n de una coordenada<\/p>\n<p class=\"p4\">polar a rectangular &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 23<\/p>\n<p class=\"p4\">Distancia entre dos puntos<\/p>\n<p class=\"p4\">y punto medio &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;24<\/p>\n<p class=\"p5\">Distancia entre dos puntos &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..25<\/p>\n<p class=\"p5\">Punto medio &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.28<\/p>\n<p class=\"p4\">\u00c1rea y per\u00edmetro de un pol\u00edgono &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 31<\/p>\n<p class=\"p5\">Per\u00edmetro de un pol\u00edgono &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..31<\/p>\n<p class=\"p5\">\u00c1rea de un pol\u00edgono &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.35<\/p>\n<p class=\"p1\">Lugares geom\u00e9tricos: recta<\/p>\n<p class=\"p1\">y circunferencia &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..43<\/p>\n<p class=\"p2\">Prop\u00f3sito<\/p>\n<p class=\"p2\">Eje<\/p>\n<p class=\"p2\">Contenido central<\/p>\n<p class=\"p2\">Aprendizajes esperados<\/p>\n<p class=\"p2\">Competencias gen\u00e9ricas<\/p>\n<p class=\"p2\">Competencias disciplinares<\/p>\n<p class=\"p2\">Formulario &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;44<\/p>\n<p class=\"p2\">Evaluaci\u00f3n diagn\u00f3stica &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 45<\/p>\n<p class=\"p3\">Desarrollo de Habilidades Socioemocionales &#8230;&#8230;.46<\/p>\n<p class=\"p4\">Pendiente y \u00e1ngulo de inclinaci\u00f3n &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;46<\/p>\n<p class=\"p5\">Formas para determinar la pendiente &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.47<\/p>\n<p class=\"p6\">Pendiente por inspecci\u00f3n gr\u00e1fica &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 47<\/p>\n<p class=\"p6\">Pendiente conociendo sus coordenadas &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;48<\/p>\n<p class=\"p6\">Pendiente por \u00e1ngulo de inclinaci\u00f3n &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;49<\/p>\n<p class=\"p4\">\u00c1ngulo de inclinaci\u00f3n de la recta &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..49<\/p>\n<p class=\"p4\">Ecuaciones de la recta &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 51<\/p>\n<p class=\"p6\">Lugar geom\u00e9trico y su ecuaci\u00f3n &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 51<\/p>\n<p class=\"p4\">La recta &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.52<\/p>\n<p class=\"p6\">Formas de la ecuaci\u00f3n de la recta &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 52<\/p>\n<p class=\"p6\">Ecuaci\u00f3n de la recta conocidos<\/p>\n<p class=\"p6\">dos puntos (cartesiana) &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;61<\/p>\n<p class=\"p6\">Aplicaciones de la ecuaci\u00f3n de la recta &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 63<\/p>\n<p class=\"p4\">Relaci\u00f3n entre rectas &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 67<\/p>\n<p class=\"p5\">Rectas paralelas R<span class=\"s1\">1 <\/span><span class=\"s2\">\u2000 <\/span>R<span class=\"s1\">2 <\/span>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 67<\/p>\n<p class=\"p5\">Rectas perpendiculares R<span class=\"s1\">1 <\/span><span class=\"s3\">\u2000 <\/span>R<span class=\"s1\">2 <\/span>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 67<\/p>\n<p class=\"p5\">Rectas oblicuas R<span class=\"s1\">1 <\/span><span class=\"s2\">\u2000 <\/span>R<span class=\"s1\">2<\/span>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;68<\/p>\n<p class=\"p4\">C\u00f3nicas &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 72<\/p>\n<p class=\"p4\">Circunferencia &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 73<\/p>\n<p class=\"p6\">Ecuaci\u00f3n ordinaria de la circunferencia &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 74<\/p>\n<p class=\"p6\">Ecuaci\u00f3n general de la circunferencia &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 76<\/p>\n<p class=\"p6\">Centro y radio de una circunferencia<\/p>\n<p class=\"p6\">dada su ecuaci\u00f3n &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 79<\/p>\n<p class=\"p1\">Estudio de las c\u00f3nicas: par\u00e1bola,<\/p>\n<p class=\"p1\">elipse e hip\u00e9rbola &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;91<\/p>\n<p class=\"p2\">Prop\u00f3sito<\/p>\n<p class=\"p2\">Eje<\/p>\n<p class=\"p2\">Contenido central<\/p>\n<p class=\"p2\">Aprendizajes esperados<\/p>\n<p class=\"p2\">Competencias gen\u00e9ricas<\/p>\n<p class=\"p2\">Competencias disciplinares<\/p>\n<p class=\"p2\">Formulario &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.92<\/p>\n<p class=\"p2\">Evaluaci\u00f3n diagn\u00f3stica &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..93<\/p>\n<p class=\"p3\">Desarrollo de Habilidades Socioemocionales &#8230;&#8230;.94<\/p>\n<p class=\"p4\">Par\u00e1bola &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;94<\/p>\n<p class=\"p5\">Elementos de la par\u00e1bola &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..94<\/p>\n<p class=\"p4\">Elipse &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;104<\/p>\n<p class=\"p5\">Elementos de la elipse &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..104<\/p>\n<p class=\"p5\">Elipse con centro en el origen &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. 105<\/p>\n<p class=\"p5\">Elipse con centro fuera del origen &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. 106<\/p>\n<p class=\"p5\">Ecuaci\u00f3n general de la elipse &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 108<\/p>\n<p class=\"p4\">Hip\u00e9rbola &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..113<\/p>\n<p class=\"p5\">Elementos de la hip\u00e9rbola &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 114<\/p>\n<p class=\"p4\">Ecuaci\u00f3n general de segundo grado &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..122<\/p>\n<p class=\"p6\">Reforzamiento &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.126<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"p1\">Gibram Vizca\u00edno Mercado<\/p>\n<p class=\"p1\">Octavio Alvarado S\u00e1nchez<\/p>\n","protected":false},"featured_media":1455,"comment_status":"open","ping_status":"closed","template":"","meta":[],"product_brand":[],"product_cat":[21],"product_tag":[],"class_list":{"0":"post-1454","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-media-superior","8":"first","9":"instock","10":"taxable","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/product\/1454","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/comments?post=1454"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/media\/1455"}],"wp:attachment":[{"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/media?parent=1454"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/product_brand?post=1454"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/product_cat?post=1454"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/esfinge.mx\/inicio\/wp-json\/wp\/v2\/product_tag?post=1454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}