{"id":144751,"date":"2018-10-01T12:41:13","date_gmt":"2018-10-01T15:41:13","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=144751"},"modified":"2019-11-08T16:51:43","modified_gmt":"2019-11-08T19:51:43","slug":"gabarito-preliminar-estrategia-militar-espcex-2018-2019-matematica","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/gabarito-preliminar-estrategia-militar-espcex-2018-2019-matematica\/","title":{"rendered":"Gabarito Preliminar\/Estrat\u00e9gia Militar &#8211; EsPCEx 2018\/2019 &#8211; Matem\u00e1tica"},"content":{"rendered":"<p style=\"text-align: justify;\">Ol\u00e1, meus queridos!<\/p>\n<p style=\"text-align: justify;\">Como foram na prova? Espero que bem!<\/p>\n<p style=\"text-align: justify;\">Segue gabarito preliminar da prova de <strong>Matem\u00e1tica da EsPCEx 2019 (Modelo F) , feita por mim , Ismael Santos, e pelo professor \u00cdtalo Marinho.<\/strong><\/p>\n<p style=\"text-align: justify;\">Irei postar o in\u00edcio do enunciado de cada problema, juntamente com\u00a0 a sugest\u00e3o de gabarito. Isso ir\u00e1 facilitar a identifica\u00e7\u00e3o da quest\u00e3o.<\/p>\n<p style=\"text-align: justify;\">Em particular, gostamos do n\u00edvel da prova. Nada fora do normal! Quest\u00f5es acess\u00edveis, nas quais as solu\u00e7\u00f5es n\u00e3o eram t\u00e3o extensas.\u00a0Conte\u00fados bem divididos e explorados.<\/p>\n<p>Sem mais delongas, vamos ao que interessa!<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>SUGEST\u00c3O DE GABARITO &#8211; EsPCEx 2019 &#8211; MATEM\u00c1TICA &#8211; MODELO F<\/strong><\/span><\/p>\n<hr \/>\n<p><em><strong>Q1- EsPCEx 2108) A equa\u00e7\u00e3o da reta tangente ao gr\u00e1fico&#8230;<\/strong><\/em><\/p>\n<p>Resposta:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-144771 alignleft\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01010821\/Q1.jpg\" alt=\"\" width=\"124\" height=\"46\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left;\"><span style=\"color: #ff0000;\"><strong>Gab.: Letra E<\/strong><\/span><\/p>\n<hr \/>\n<p><em><strong>Q2- EsPCEx 2108) Considere a fun\u00e7\u00e3o f: R-&gt;R\u00a0 definida por&#8230;<\/strong><\/em><\/p>\n<p>Resposta:\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144772 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011057\/q2.jpg\" alt=\"\" width=\"81\" height=\"40\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra D<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q3- EsPCEx 2108) Considere uma circunfer\u00eancia de contro O e raio 1 cm&#8230;<\/strong><\/em><\/p>\n<p>Resposta:\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144773 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011240\/q3.jpg\" alt=\"\" width=\"106\" height=\"53\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra A<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q4- EsPCEx 2108) Na figura abaixo, a equa\u00e7\u00e3o da circunfer\u00eancia \u00e9 &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144774 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011517\/q4.jpg\" alt=\"\" width=\"88\" height=\"53\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra B<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q5- EsPCEx 2108) Sabendo que o n\u00famero complexo i &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-144775 alignleft\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011742\/q5.jpg\" alt=\"\" width=\"288\" height=\"25\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011742\/q5.jpg 394w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01011742\/q5.jpg 300w\" sizes=\"auto, (max-width: 288px) 100vw, 288px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong><span style=\"color: #ff0000;\">Gab.: Letra D<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q6- EsPCEx 2108) Os centros de dois c\u00edrculos distam 25 cm &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144776 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01013256\/q6.jpg\" alt=\"\" width=\"100\" height=\"36\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra B<\/span><\/strong><\/p>\n<hr \/>\n<p style=\"text-align: left;\"><em><strong>Q7- EsPCEx 2108) O n\u00famero de ra\u00edzes reais da equa\u00e7\u00e3o &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144887 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01113801\/q7.png\" alt=\"\" width=\"67\" height=\"28\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra D<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q8- EsPCEx 2108) No plano complexo, temos uma circunfer\u00eancia &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144888 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01114012\/q8.png\" alt=\"\" width=\"114\" height=\"37\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra C<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q9- EsPCEx 2108) A figura mostra um esbo\u00e7o do gr\u00e1fico da fun\u00e7\u00e3o &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144890 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01114625\/q9.png\" alt=\"\" width=\"92\" height=\"47\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra B<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q10- EsPCEx 2108) Os pontos M(0,y), com &#8230;<\/strong><\/em><\/p>\n<p>Resposta:\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144895 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01115343\/q10.png\" alt=\"\" width=\"59\" height=\"29\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra C<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q11- EsPCEx 2108) O volume de uma esfera inscrita em &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144896 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01115700\/q11.png\" alt=\"\" width=\"107\" height=\"35\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra B<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q12- EsPCEx 2108) Sabendo que o gr\u00e1fico a seguir representa &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144898 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01115842\/q12.png\" alt=\"\" width=\"58\" height=\"36\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra C<\/span><\/strong><\/p>\n<hr \/>\n<p><em><b>Q13- EsPCEx 2108) Uma f\u00e1brica de tratores agr\u00edcolas\u00a0&#8230;<\/b><\/em><\/p>\n<p>Resposta:<\/p>\n<p><em><b><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-144899 alignleft\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120145\/q13.png\" alt=\"\" width=\"471\" height=\"22\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120145\/q13.png 500w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120145\/q13.png 300w\" sizes=\"auto, (max-width: 471px) 100vw, 471px\" \/><\/b><\/em><\/p>\n<p>&nbsp;<\/p>\n<p><strong><span style=\"color: #ff0000;\">Gab.: Letra E<\/span><\/strong><\/p>\n<hr \/>\n<p><strong>Q14- EsPCEx 2108) Considere o conjunto dos n\u00fameros naturais &#8230;<\/strong><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144900 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120438\/q14.png\" alt=\"\" width=\"75\" height=\"29\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra C<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q15- EsPCEx 2108) Seja A o maior subconjunto de R &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<em><strong><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144901 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120550\/q15.png\" alt=\"\" width=\"173\" height=\"35\" \/><\/strong><\/em><strong><span style=\"color: #ff0000;\">Gab.: Letra B<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q16- EsPCEx 2108) Em um tri\u00e2ngulo ABC &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144902 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01120929\/q16.png\" alt=\"\" width=\"108\" height=\"33\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra C<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q17- EsPCEx 2108) Dentre as alternativas a seguir &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144903 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01121020\/q17.png\" alt=\"\" width=\"150\" height=\"29\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra E<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q18- EsPCEx 2108) Enrico guardou moedas em um &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144904 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01121150\/q18.png\" alt=\"\" width=\"58\" height=\"36\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra D<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q19- EsPCEx 2108) Uma hip\u00e9rbole tem focos &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144905 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01121253\/q19.png\" alt=\"\" width=\"103\" height=\"64\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra A<\/span><\/strong><\/p>\n<hr \/>\n<p><em><strong>Q20- EsPCEx 2108) A equa\u00e7\u00e3o Log &#8230;<\/strong><\/em><\/p>\n<p>Resposta:<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-144906 aligncenter\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2018\/10\/01121425\/q20.png\" alt=\"\" width=\"57\" height=\"37\" \/><strong><span style=\"color: #ff0000;\">Gab.: Letra D<\/span><\/strong><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>\u00c9 isso! Espero que tenham gostado!<\/p>\n<p>Grande abra\u00e7o!<\/p>\n<p>F\u00e9 na miss\u00e3o! Rumo a Campinas &#8211; SP!<\/p>\n<p><strong>Instagram:<\/strong> <span style=\"color: #0000ff;\"><em><strong>@professor_ismaelsantos<\/strong><\/em><\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ol\u00e1, meus queridos! Como foram na prova? Espero que bem! Segue gabarito preliminar da prova de Matem\u00e1tica da EsPCEx 2019 (Modelo F) , feita por mim , Ismael Santos, e pelo professor \u00cdtalo Marinho. Irei postar o in\u00edcio do enunciado de cada problema, juntamente com\u00a0 a sugest\u00e3o de gabarito. Isso ir\u00e1 facilitar a identifica\u00e7\u00e3o da [&hellip;]<\/p>\n","protected":false},"author":792,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[1,6741],"tags":[],"tax_estado":[],"class_list":["post-144751","post","type-post","status-publish","format-standard","hentry","category-cursos-e-concursos","category-forcas-armadas-oficiais"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Gabarito Preliminar\/Estrat\u00e9gia Militar - EsPCEx 2018\/2019 - Matem\u00e1tica<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/gabarito-preliminar-estrategia-militar-espcex-2018-2019-matematica\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Gabarito Preliminar\/Estrat\u00e9gia Militar - EsPCEx 2018\/2019 - Matem\u00e1tica\" \/>\n<meta property=\"og:description\" content=\"Ol\u00e1, meus queridos! 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