{"id":5272,"date":"2025-02-27T18:49:39","date_gmt":"2025-02-27T21:49:39","guid":{"rendered":"https:\/\/atividademapa.com\/?post_type=product&#038;p=5272"},"modified":"2025-03-01T16:45:43","modified_gmt":"2025-03-01T19:45:43","slug":"mapa-mat-geometria-analitica-51_2025","status":"publish","type":"product","link":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025","title":{"rendered":"MAPA &#8211; MAT &#8211; Geometria Anal\u00edtica &#8211; 51_2025"},"content":{"rendered":"<div class=\"t m0 x2 h8 yc ff4 fs1 fc0 sc0 ls1 ws3\">O metano (CH\u2084) \u00e9 um g\u00e1s inodoro e invis\u00edvel que tem mais de 80 vezes o poder de aquecimento do di\u00f3xido<\/div>\n<div class=\"t m0 x2 h8 yd ff4 fs1 fc0 sc0 ls1 ws3\">de carbono. O metano \u00e9 o principal componente do g\u00e1s que aquece nossas casas e alimenta nossos fog\u00f5es,<\/div>\n<div class=\"t m0 x2 h8 ye ff4 fs1 fc0 sc0 ls0 ws3\">e \u00e9 um dos principais subprodutos da perfura\u00e7\u00e3o de petr\u00f3leo e g\u00e1s.<\/div>\n<div class=\"t m0 x2 h8 yf ff4 fs1 fc0 sc0 ls1 ws3\">Um corpo internacional de cientistas concluiu que a concentra\u00e7\u00e3o de metano na atmosfera \u00e9 maior agora<\/div>\n<div class=\"t m0 x2 h8 y4 ff4 fs1 fc0 sc0 ls1 ws3\">do que em qualquer outro momento nos \u00faltimos 800 mil anos. Ele \u00e9 respons\u00e1vel por at\u00e9 um ter\u00e7o do<\/div>\n<div class=\"t m0 x2 h8 y10 ff4 fs1 fc0 sc0 ls1 ws3\">aquecimento global que o planeta experimentou at\u00e9 agora, conforme a Ag\u00eancia de Prote\u00e7\u00e3o Ambiental dos<\/div>\n<div class=\"t m0 x2 h8 y11 ff4 fs1 fc0 sc0 ls0 ws3\">Estados Unidos (EPA).<\/div>\n<div class=\"t m0 x2 h8 y12 ff4 fs1 fc0 sc0 ls1 ws3\">Fonte: adaptado de: https:\/\/www.cnnbrasil.com.br\/internacional. Acesso em: 11 fev. 2025.<\/div>\n<div class=\"t m0 x2 h8 y13 ff4 fs1 fc0 sc0 ls1 ws3\">Uma mol\u00e9cula de metano \u00e9 constitu\u00edda por um \u00e1tomo de carbono e quatro \u00e1tomos de hidrog\u00eanio. A<\/div>\n<div class=\"t m0 x2 h8 y14 ff4 fs1 fc0 sc0 ls1 ws3\">geometria dessa mol\u00e9cula \u00e9 a de um tetraedro regular, em que o \u00e1tomo de carbono ocupa o centro do<\/div>\n<div class=\"t m0 x2 h8 y15 ff4 fs1 fc0 sc0 ls1 ws3\">tetraedro e os \u00e1tomos de hidrog\u00eanio ocupam, cada um, um dos v\u00e9rtices do tetraedro (s\u00e3o eles (1,0,0);<\/div>\n<div class=\"t m0 x2 h8 y16 ff4 fs1 fc0 sc0 ls0 ws3\">(0,1,0); (0,0,1) e (1,1,1)), como ilustrado na figura a seguir<span style=\"color: #333333;\"><a style=\"color: #333333;\" href=\"http:\/\/studeomapa.com\">:\u00a0<\/a><\/span><\/div>\n<div><\/div>\n<div>\n<p class=\"s4\"><a href=\"https:\/\/atividademapa.com\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5273\" src=\"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2025\/02\/Metano.jpeg?resize=404%2C369&#038;ssl=1\" alt=\"MAPA - MAT - GEOMETRIA ANAL\u00cdTICA - 51_2025\" width=\"404\" height=\"369\" srcset=\"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2025\/02\/Metano.jpeg?resize=300%2C274&amp;ssl=1 300w, https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2025\/02\/Metano.jpeg?resize=150%2C137&amp;ssl=1 150w, https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2025\/02\/Metano.jpeg?w=461&amp;ssl=1 461w\" sizes=\"auto, (max-width: 404px) 100vw, 404px\" \/><\/a><\/p>\n<\/div>\n<div class=\"t m0 x2 h8 y18 ff4 fs1 fc0 sc0 ls0 ws3\">Fonte: adaptada de: STEWART, J. <span class=\"ff5 ws4\">C\u00e1lculo<\/span>. S\u00e3o Paulo: Cengage Learning, 2013. v. 2.<\/div>\n<div class=\"t m0 x2 h8 y19 ff4 fs1 fc0 sc0 ls1\"><\/div>\n<div class=\"t m0 x2 h8 y1a ff4 fs1 fc0 sc0 ls0 ws3\">Com base nessas informa\u00e7\u00f5es, resolva os itens a seguir:<\/div>\n<div class=\"t m0 x2 h8 y1b ff4 fs1 fc0 sc0 ls1 ws3\">A) Use o produto escalar e prove que o \u00e2ngulo formado pela liga\u00e7\u00e3o qu\u00edmica H-C-H \u00e9 de aproximadamente<\/div>\n<div class=\"t m0 x2 h8 y1c ff4 fs1 fc0 sc0 ls0 ws5\">109,5\u00b0.<\/div>\n<div class=\"t m0 x2 h8 y1d ff4 fs1 fc0 sc0 ls1 ws3\">B) Determine a equa\u00e7\u00e3o geral do plano que cont\u00e9m os tr\u00eas \u00e1tomos de hidrog\u00eanio, os quais est\u00e3o alocados<\/div>\n<div class=\"t m0 x2 h8 y1e ff4 fs1 fc0 sc0 ls0 ws3\">sobre tr\u00eas eixos coordenados, como ilustrado na figura precedente.<\/div>\n<div class=\"t m0 x2 h8 y1f ff4 fs1 fc0 sc0 ls1 ws3\">C) Determine uma equa\u00e7\u00e3o param\u00e9trica da reta que passa pelo \u00e1tomo de carbono e pelo \u00e1tomo de<\/div>\n<div class=\"t m0 x2 h8 y20 ff4 fs1 fc0 sc0 ls0 ws3\">hidrog\u00eanio, cujas coordenadas s\u00e3o (1,1,1)<\/div>\n","protected":false},"excerpt":{"rendered":"<p>O metano (CH\u2084) \u00e9 um g\u00e1s inodoro e invis\u00edvel que tem mais de 80 vezes o poder de aquecimento do<\/p>\n","protected":false},"featured_media":2326,"template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"product_brand":[],"product_cat":[41],"product_tag":[],"class_list":{"0":"post-5272","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-matematica","8":"first","9":"instock","10":"downloadable","11":"virtual","12":"purchasable","13":"product-type-simple"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>MAPA - MAT - Geometria Anal\u00edtica - 51_2025<\/title>\n<meta name=\"description\" content=\"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MAPA - MAT - Geometria Anal\u00edtica - 51_2025\" \/>\n<meta property=\"og:description\" content=\"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025\" \/>\n<meta property=\"og:site_name\" content=\"Atividade Mapa\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-01T19:45:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/03\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1\" \/>\n\t<meta property=\"og:image:width\" content=\"300\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025\",\"url\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025\",\"name\":\"MAPA - MAT - Geometria Anal\u00edtica - 51_2025\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/atividademapa.com\\\/wp-content\\\/uploads\\\/2023\\\/03\\\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1\",\"datePublished\":\"2025-02-27T21:49:39+00:00\",\"dateModified\":\"2025-03-01T19:45:43+00:00\",\"description\":\"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/atividademapa.com\\\/wp-content\\\/uploads\\\/2023\\\/03\\\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/atividademapa.com\\\/wp-content\\\/uploads\\\/2023\\\/03\\\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1\",\"width\":300,\"height\":300,\"caption\":\"Mapa Unicesumar Atividade\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/?product=mapa-mat-geometria-analitica-51_2025#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"In\u00edcio\",\"item\":\"https:\\\/\\\/atividademapa.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"MAPAS\",\"item\":\"https:\\\/\\\/atividademapa.com\\\/?page_id=5\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"MAPA &#8211; MAT &#8211; Geometria Anal\u00edtica &#8211; 51_2025\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#website\",\"url\":\"https:\\\/\\\/atividademapa.com\\\/\",\"name\":\"Atividade Mapa\",\"description\":\"StudeO | Unicesumar\",\"publisher\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/atividademapa.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#organization\",\"name\":\"Atividade MAPA\",\"url\":\"https:\\\/\\\/atividademapa.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/atividademapa.com\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/ATIVIDADE.png?fit=600%2C300&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/atividademapa.com\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/ATIVIDADE.png?fit=600%2C300&ssl=1\",\"width\":600,\"height\":300,\"caption\":\"Atividade MAPA\"},\"image\":{\"@id\":\"https:\\\/\\\/atividademapa.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"MAPA - MAT - Geometria Anal\u00edtica - 51_2025","description":"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!","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:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025","og_locale":"pt_BR","og_type":"article","og_title":"MAPA - MAT - Geometria Anal\u00edtica - 51_2025","og_description":"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!","og_url":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025","og_site_name":"Atividade Mapa","article_modified_time":"2025-03-01T19:45:43+00:00","og_image":[{"width":300,"height":300,"url":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/03\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. tempo de leitura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025","url":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025","name":"MAPA - MAT - Geometria Anal\u00edtica - 51_2025","isPartOf":{"@id":"https:\/\/atividademapa.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage"},"image":{"@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/03\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1","datePublished":"2025-02-27T21:49:39+00:00","dateModified":"2025-03-01T19:45:43+00:00","description":"Atividade MAPA - MAT - Geometria Anal\u00edtica - 51_2025 &#8902; Unicesumar. Matem\u00e1tica - Baixe agora mesmo um Mapa Pronto resolvido!","breadcrumb":{"@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025"]}]},{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025#primaryimage","url":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/03\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1","contentUrl":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/03\/Atividade-M.A.P.A-3.png?fit=300%2C300&ssl=1","width":300,"height":300,"caption":"Mapa Unicesumar Atividade"},{"@type":"BreadcrumbList","@id":"https:\/\/atividademapa.com\/?product=mapa-mat-geometria-analitica-51_2025#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"In\u00edcio","item":"https:\/\/atividademapa.com\/"},{"@type":"ListItem","position":2,"name":"MAPAS","item":"https:\/\/atividademapa.com\/?page_id=5"},{"@type":"ListItem","position":3,"name":"MAPA &#8211; MAT &#8211; Geometria Anal\u00edtica &#8211; 51_2025"}]},{"@type":"WebSite","@id":"https:\/\/atividademapa.com\/#website","url":"https:\/\/atividademapa.com\/","name":"Atividade Mapa","description":"StudeO | Unicesumar","publisher":{"@id":"https:\/\/atividademapa.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/atividademapa.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pt-BR"},{"@type":"Organization","@id":"https:\/\/atividademapa.com\/#organization","name":"Atividade MAPA","url":"https:\/\/atividademapa.com\/","logo":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/atividademapa.com\/#\/schema\/logo\/image\/","url":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/02\/ATIVIDADE.png?fit=600%2C300&ssl=1","contentUrl":"https:\/\/i0.wp.com\/atividademapa.com\/wp-content\/uploads\/2023\/02\/ATIVIDADE.png?fit=600%2C300&ssl=1","width":600,"height":300,"caption":"Atividade MAPA"},"image":{"@id":"https:\/\/atividademapa.com\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/product\/5272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/product"}],"about":[{"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/types\/product"}],"version-history":[{"count":1,"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/product\/5272\/revisions"}],"predecessor-version":[{"id":5274,"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/product\/5272\/revisions\/5274"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/atividademapa.com\/index.php?rest_route=\/wp\/v2\/media\/2326"}],"wp:attachment":[{"href":"https:\/\/atividademapa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5272"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/atividademapa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fproduct_brand&post=5272"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/atividademapa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fproduct_cat&post=5272"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/atividademapa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fproduct_tag&post=5272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}