{"id":18715,"date":"2020-11-09T11:59:53","date_gmt":"2020-11-09T14:59:53","guid":{"rendered":"https:\/\/beduka.com\/blog\/?p=18715"},"modified":"2023-04-03T17:12:17","modified_gmt":"2023-04-03T20:12:17","slug":"exercicios-de-plano-cartesiano","status":"publish","type":"post","link":"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-de-plano-cartesiano\/","title":{"rendered":"Exerc\u00edcios de Plano Cartesiano com Gabarito"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><strong><em>O plano cartesiano \u00e9 estruturado por duas retas perpendiculares, ou seja, elas possuem apenas um ponto de interse\u00e7\u00e3o formando 90 graus. O formato \u00e9 como o de uma cruz, ou como o sinal da soma (+). E \u00e9 todo dividido por valores num\u00e9ricos. O plano \u00e9 utilizado para a localiza\u00e7\u00e3o de pontos do sistema de coordenadas, importante para geometria, geografia e outras \u00e1reas. Leia nosso resumo e fa\u00e7a os 4 Melhores Exerc\u00edcios sobre Plano Cartesiano.<\/em><\/strong><\/p><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Quando voc\u00ea terminar os<strong> Exerc\u00edcios de Plano Cartesiano<\/strong>, coloque em pr\u00e1tica todo seu conhecimento com <a href=\"https:\/\/beduka.com\/simulado-enem\/#\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">O Melhor Simulado Enem do Brasil<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O Plano Cartesiano foi desenvolvido pelo fil\u00f3sofo Ren\u00e9 Descartes com o objetivo de localizar pontos em um determinado espa\u00e7o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Desde ent\u00e3o, ele vem sendo muito utilizado nas mais diversas \u00e1reas da Matem\u00e1tica, o que aumenta, e muito, a suas chances de cair no ENEM.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Algumas das \u00e1reas que podem utilizar esse recurso s\u00e3o:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Geometria (<a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-sobre-geometria-plana\/\" target=\"_blank\">plana<\/a>, <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/geometria-espacial\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">espacial<\/a> e <a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-de-geometria-analitica\/\" target=\"_blank\">anal\u00edtica<\/a>)<\/li><li><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/o-que-e-seno-cosseno-e-tangente\/\" target=\"_blank\">Trigonometria<\/a><\/li><li>Astronomia<\/li><li><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/materias\/geografia\/o-que-e-cartografia\/\" target=\"_blank\">Cartografia<\/a><\/li><li>F\u00edsica <a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/exercicios\/fisica-exercicios\/exercicios-de-vetores-com-gabarito-resumo-da-materia\/\" target=\"_blank\">vetorial<\/a><\/li><li>Arqueologia<\/li><li>Engenharia<\/li><li>Design<\/li><li>For\u00e7as t\u00e1ticas e militares<\/li><li>GPS e Navega\u00e7\u00e3o (a\u00e9rea, terrestre e mar\u00edtima)<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Aplique seu conhecimento em Plano Cartesiano resolvendo <a href=\"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/equacao-do-1-grau\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Exerc\u00edcios de Equa\u00e7\u00e3o do 1\u00b0 Grau<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">O que \u00e9 o Plano Cartesiano?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>O Plano Cartesiano \u00e9 um objeto matem\u00e1tico plano estruturado por duas retas perpendiculares<\/strong>, ou seja, elas possuem apenas um ponto de interse\u00e7\u00e3o com um formato parecido com o sinal de adi\u00e7\u00e3o (+) e todo dividido por valores num\u00e9ricos. Observe:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-1.jpg\" alt=\"O que \u00e9 um Plano Cartesiano?\" class=\"wp-image-18720\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-1.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-1-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-1-320x160.jpg 320w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">O Plano Cartesiano \u00e9 aplicado principalmente com o objetivo de localizar elementos em um determinado espa\u00e7o.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Como \u00e9 formado o Plano Cartesiano?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>O plano cartesiano \u00e9 formado por duas retas <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/o-que-sao-retas-perpendiculares\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">perpendiculares<\/a> entre si<\/strong>, ou seja, formam um \u00e2ngulo de 90\u00b0 (reto).&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Elas precisam ser retas num\u00e9ricas, cheias de n\u00fameros <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/resumo-de-conjuntos-numericos\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">reais<\/a> equidistantes (mesmo espa\u00e7amento entre si), como uma r\u00e9gua.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Uma das retas est\u00e1 no sentido vertical, esse eixo \u00e9 chamado de ordenadas e costuma ser representado pela letra \u201c<strong>Y<\/strong>\u201d.&nbsp;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>A outra reta est\u00e1 no sentido horizontal, esse eixo \u00e9 chamado de abscissas e costuma ser representado pela letra \u201c<strong>X<\/strong>\u201d.<\/li><\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/elementos-do-plano-cartesiano-e-como-ele-e-formado-1.jpg\" alt=\"Elementos do Plano Cartesiano\" class=\"wp-image-18719\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/elementos-do-plano-cartesiano-e-como-ele-e-formado-1.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/elementos-do-plano-cartesiano-e-como-ele-e-formado-1-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/elementos-do-plano-cartesiano-e-como-ele-e-formado-1-320x160.jpg 320w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Essas retas s\u00f3 se encontram em um \u00fanico ponto, chamado de Origem. Ele \u00e9 o \u201cmarco 0\u201d de ambas as retas. <strong>Tamb\u00e9m \u00e9 o ponto central pois consideramos os valores negativos <\/strong>(\u00e0 esquerda ou abaixo)<strong> e os positivos <\/strong>(\u00e0 direita ou acima).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cada ponto na reta est\u00e1 ligado a somente um n\u00famero real. Como os n\u00fameros s\u00e3o infinitos, as retas tamb\u00e9m s\u00e3o.<strong> Por\u00e9m, s\u00f3 representamos aqueles que dizem respeito ao contexto da situa\u00e7\u00e3o que estamos.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S\u00f3 assim teremos a garantia de que \u00e9 poss\u00edvel medir, posicionar e localizar as coisas de forma correta.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Quer conhecer ainda mais? Leia nosso <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/plano-cartesiano\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Resumo Completo sobre Plano Cartesiano.<\/a><\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Como calcular as coordenadas de um plano?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Podemos localizar um ponto de maneira muito simples:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Primeiro:<\/strong> devemos achar o n\u00famero do par ordenado no eixo das abscissas (Eixo X);<\/li><li><strong>Segundo:<\/strong> devemos achar o n\u00famero do par ordenado no eixo das ordenadas (Eixo Y);<\/li><li><strong>Terceiro:<\/strong> determinar o ponto encontrado representando-o da seguinte forma: (X, Y).<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Observe este exemplo:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Localize o ponto (3, 1).<\/li><\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-2.jpg\" alt=\"Exemplo de Plano Cartesiano\" class=\"wp-image-18718\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-2.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-2-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-2-320x160.jpg 320w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Qual \u00e9 a estrutura de um Plano Cartesiano? (QUADRANTES)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">O <strong>Plano Cartesiano<\/strong> \u00e9 dividido em quatro quadrantes:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-3-1.jpg\" alt=\"Quais s\u00e3o os quadrantes em um plano cartesiano?\" class=\"wp-image-18717\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-3-1.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-3-1-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/Plano-Cartesiano-imagem-3-1-320x160.jpg 320w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Podemos identificar nesses quadrantes padr\u00f5es de sinais (negativo ou positivo). Observe como o sinal de X ou Y varia por quadrante:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"300\" src=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/quais-s\u00e3o-os-quadrantes-do-plano-cartesiano-e-os-seus-sinais-leitura-da-ordem-no-sentido-antiohorario-1.jpg\" alt=\"Sinais dos quadrantes no Plano Cartesiano\" class=\"wp-image-18716\" srcset=\"https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/quais-s\u00e3o-os-quadrantes-do-plano-cartesiano-e-os-seus-sinais-leitura-da-ordem-no-sentido-antiohorario-1.jpg 600w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/quais-s\u00e3o-os-quadrantes-do-plano-cartesiano-e-os-seus-sinais-leitura-da-ordem-no-sentido-antiohorario-1-300x150.jpg 300w, https:\/\/beduka.com\/blog\/wp-content\/uploads\/2020\/11\/quais-s\u00e3o-os-quadrantes-do-plano-cartesiano-e-os-seus-sinais-leitura-da-ordem-no-sentido-antiohorario-1-320x160.jpg 320w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Quer aumentar ainda mais suas chances de mandar bem no ENEM?<\/strong> Ent\u00e3o conhe\u00e7a o <a href=\"https:\/\/www.instagram.com\/beduka_oficial\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Instagram do Beduka<\/a>, l\u00e1 postamos diariamente resumos perfeitos para voc\u00ea!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Exerc\u00edcios de Plano Cartesiano com Gabarito<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Esperamos que, com esse resumo, <strong>tudo tenha ficado mais claro para voc\u00ea.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Parab\u00e9ns<\/strong> por ter lido at\u00e9 aqui!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Baixe <strong>gratuitamente<\/strong> o <a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/dicas\/enem-dicas\/plano-de-estudos-gratuito\/\" target=\"_blank\">Plano de Es<\/a><a href=\"https:\/\/beduka.com\/blog\/dicas\/enem-dicas\/plano-de-estudos-gratuito\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"t (abre numa nova aba)\">t<\/a><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/beduka.com\/blog\/dicas\/enem-dicas\/plano-de-estudos-gratuito\/\" target=\"_blank\">udos<\/a> do <strong>Beduka<\/strong> e tenha uma prepara\u00e7\u00e3o<strong> perfeita <\/strong>para o <strong>ENEM<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 1 &#8211;<\/strong> <a href=\"https:\/\/www.mackenzieinvestments.com\/en\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(MACKENZIE)<\/a> A representa\u00e7\u00e3o gr\u00e1fica do conjunto de pontos&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x,y) tais que x\u22122 \u2212 \u221a4 \u2212y2\u2a7e0 \u00e9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/9shNmzq7erHcDhg66hV7NicDG1rGYHxWOet0sc7piU1h0ojRJ1A0mK0wx4vy0MjZCdAH7MF87RTELv_ByxHTQNCltQnOZSLZ49ZcGOpvM3QBAeKPyzr7izZA9TK-SkKIVaPqnBDS\" alt=\"gr\u00e1fico cartesiano sol nascente\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/vb6naIY-KQz87PkM_6JiQbAlKJ2Pgu86uPDq52_PPUk7mfTQ2qRo5F12ByLVsi4eWSPlFPC4hjq_IDoNbCxdIEKf3QQCi-RF2VHx4ijmz-mvVTjX3wj2_qf2kvDs9SnHjBHt6kMs\" alt=\"gr\u00e1fico cartesiano meia circunfer\u00eancia\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/t1Gi2ZjPxa-nwryO92PFHB4KqhQAJBNUF99dCx_XjvfuAEy3ZhK7fEZmeRgWY_zC7GbFWovQHriabBT00bgEpsw49J5Id1EeW-UEOzLTHASL42AV4ZPEImIOT4_xltQVCLSAMF2L\" alt=\"gr\u00e1fico cartesiano um quarto de circunfer\u00eancia\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>d)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/h-DX0ZkK2-7BrTA_XyZeO_oOunGLZOl2aKRO1IkPJam8iGaN1XGJ8TWJXczI1CGpzMToIFgQoUh3zj4LYCynt_0VAqm1dVNzRcKFFbqGHBf3ouEGnEn_anC6oqTbp_awR18yyjUe\" alt=\"gr\u00e1fico cartesiano circunfer\u00eancia de raio 4\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>e)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/ViGIkq0UL3vJlUkpEi2X791tFPlyUWbB4TxrS-p2vvY95dihD9jM-17Uxe01tg3y4P9ITVtPY4gAqzcakw_IpJA88sR2XGybbbGpWFQAt_TSM3z8IflJnhGealh5GFSHBFzZIyhZ\" alt=\"quarto de circunfer\u00eancia no plano cartesiano\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 2 &#8211; <\/strong><a href=\"https:\/\/www.poli.usp.br\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(EPUSP)<\/a> O ponto P (3, m) \u00e9 interno a um dos lados do tri\u00e2ngulo A (1,2), B (3,1) e C (5,-4). Ent\u00e3o:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a) <\/strong>m = -1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b) <\/strong>m = 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c) <\/strong>m = \u00bd&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>d) <\/strong>m = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>e) <\/strong>nenhuma das respostas anteriores<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Ufa, estamos quase no fim! <\/strong>Fa\u00e7a os 2 \u00faltimos Exerc\u00edcios de Plano Cartesiano <\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 3 &#8211; <\/strong><a href=\"https:\/\/www.usp.org\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(USP)<\/a> Uma das diagonais de um quadrado tem extremidades&nbsp; A (1;1) e&nbsp; C (3;3) . As coordenadas dos outros dois v\u00e9rtices s\u00e3o:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a) <\/strong>(2 ; 3)&nbsp; e&nbsp; (3 ; 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b) <\/strong>(3 ; 1)&nbsp; e&nbsp; (1 ; 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c) <\/strong>(3 ; 0)&nbsp; e&nbsp; (1 ; 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>d) <\/strong>(5 ; 2)&nbsp; e&nbsp; (4 ; 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>e) <\/strong>nenhuma das anteriores<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 4 &#8211; <\/strong><a href=\"https:\/\/www.fuvest.br\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">(FUVEST)<\/a> A equa\u00e7\u00e3o x\u00b2 + 2x + y\u00b2 + my = n, em que m e n s\u00e3o constantes, representa uma circunfer\u00eancia no plano cartesiano. Sabe-se que a reta y = -x + 1 cont\u00e9m o centro da circunfer\u00eancia e a intersecta no ponto (-3, 4). Os valores de m e n s\u00e3o, respectivamente:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a) <\/strong>-4 e 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b) <\/strong>4 e 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c) <\/strong>-4 e 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>d) <\/strong>-2 e 4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>e) <\/strong>2 e 3<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Parab\u00e9ns<\/strong>, voc\u00ea chegou ao fim dos Exerc\u00edcios de Plano Cartesiano. <strong>Confira agora o Gabarito:<\/strong><\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Gabarito dos Exerc\u00edcios de Plano Cartesiano<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exerc\u00edcio resolvido da quest\u00e3o 1 &#8211;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Alternativa correta: <strong>b)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/vb6naIY-KQz87PkM_6JiQbAlKJ2Pgu86uPDq52_PPUk7mfTQ2qRo5F12ByLVsi4eWSPlFPC4hjq_IDoNbCxdIEKf3QQCi-RF2VHx4ijmz-mvVTjX3wj2_qf2kvDs9SnHjBHt6kMs\" alt=\"gr\u00e1fico cartesiano meia circunfer\u00eancia\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exerc\u00edcio resolvido da quest\u00e3o 2 &#8211;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Alternativa correta: <strong>a)<\/strong> m = -1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exerc\u00edcio resolvido da quest\u00e3o 3 &#8211;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Alternativa correta: <strong>b)<\/strong> (3 ; 1)&nbsp; e&nbsp; (1 ; 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exerc\u00edcio resolvido da quest\u00e3o 4 &#8211;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Alternativa correta: <strong>a)<\/strong> -4 e 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Estude para o Enem com o <a href=\"https:\/\/beduka.com\/simulado\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">Simulado Beduka.<\/a> <strong>\u00c9 gratuito!<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gostou dos nossos <strong>Exerc\u00edcios de plano cartesiano?<\/strong> Compartilhe com os seus amigos e comente abaixo sobre as \u00e1reas que voc\u00ea deseja mais explica\u00e7\u00f5es.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Queremos te ajudar a encontrar a <strong>FACULDADE IDEAL! <\/strong>Logo abaixo, fa\u00e7a uma pesquisa por curso e cidade que te mostraremos todas as faculdades que podem te atender. <strong>Informamos a nota de corte, valor de mensalidade, nota do MEC, avalia\u00e7\u00e3o dos alunos, modalidades de ensino e muito mais.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O plano cartesiano \u00e9 estruturado por duas retas perpendiculares, ou seja, elas possuem apenas um ponto de interse\u00e7\u00e3o formando 90 graus. O formato \u00e9 como o de uma cruz, ou como o sinal da soma (+). E \u00e9 todo dividido por valores num\u00e9ricos. O plano \u00e9 utilizado para a localiza\u00e7\u00e3o de pontos do sistema de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18721,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[610],"tags":[],"class_list":["post-18715","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica-exercicios"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Exerc\u00edcios de Plano Cartesiano com Gabarito<\/title>\n<meta name=\"description\" content=\"Leia nosso Resumo e coloque seu conhecimento em pr\u00e1tica com Os 4 Melhores Exerc\u00edcios de Plano Cartesiano selecionados para voc\u00ea.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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