Todas as questões do ENEM

Considere o retângulo ABCD, com AB = 8 cm, BC = 5 cm e o segmento que intersecta os prolongamentos dos lados e nos pontos P e S, respectivamente, conforme mostra a figura.

• Sabendo que AP = 3 cm e CS = 2 cm, a área do quadrilátero QBCR é

Uma senha é formada por quatro algarismos distintos ABCD que obedecem às seguintes condições:

(I) A+B+C+D = 11

(II) A.B.C = 30

(III) A+B = C

(IV) A.B = C + D

• Sabendo que A < B, o valor de A + C é

A figura mostra um triângulo retângulo ABC, de hipotenusa  ,com A(2,7) , B(7,2) e C(k, k – 5).

• Sabendo que a área do triângulo ABC é 15 cm² , o valor da abscissa do ponto C é 

Um número é chamado “perfeito” se ele for igual à soma de seus divisores, excluindo ele mesmo.

Se S = 2n – 1 é um número primo, então o número P=2n-1 .S será um número “perfeito”.

Fonte: A Magia dos Números/ Paul Karlson. (Adaptado)

• Sabendo que o número é um número “perfeito”, os valores de n e S são, respectivamente

Anna Karenina

By Leo Tolstoy - PART ONE - Chapter 1

Happy families are all alike; every unhappy family is unhappy in its own way.

Everything was in confusion in the Oblonskys’ house. The wife had discovered that the husband was carrying on an intrigue with a French girl, who had been a governess in their family, and she had announced to her husband that she could not go on living in the same house with him. This position of affairs had now lasted three days, and not only the husband and wife themselves, but all the members of their family and household, were painfully conscious of it. Every person in the house felt that there was no sense in their living together, and that the stray people brought together by chance in any inn had more in common with one another than they, the members of the family and household of the Oblonskys. The wife did not leave her own room, the husband had not been at home for three days. The children ran wild all over the house; the English governess quarreled with the housekeeper, and wrote to a friend asking her to look out for a new situation for her; the man-cook had walked off the day before just at dinner time; the kitchen-maid, and the coachman had given warning.

1994, Ramdom House, Inc.

Two houses in Oakland go up for sale for just $1 for the pair 

Two Bay Area houses on the market for $1 might sound like a cruel joke for many living in the area, which faces some of the highest housing rates in the nation - but it's no hoax.

It is true that two turn-of-thecentury homes in Oakland, California, have been listed for just $1, but there's a catch: The houses are available for such a low price because the land they sit on isn't included. The houses have to be removed from the property by April 30 to make way for a new 127-unit apartment complex.

Anyone who buys the homes will have to pay the costly price of transporting the homes from their current location to another plot of land, that he or she would have to find and purchase separately.

http://www.dailymail.co.uk/news/article-4345762 - Acessado em 24/03/2017

Russia covered up a nuclear disaster in Kazakhstan in the 1950s that was FOUR TIMES worse than Chernobyl reveals secret report

Fallout from a Soviet nuclear weapons test at Semipalatinsk in August 1956 resulted in more than 600 people in a town over 100 miles (175 km) away ending up in hospital with radiation sickness. The secret report (bottom left) was recently found at the test facility, where the first Soviet nuclear test was conducted on August 29, 1949 (top right). Between 1949 and 1989 some 456 nuclear tests were carried out, and children in the region are still being born with birth defects to this day (bottom right).

http://www.dailymail.co.uk/sciencetech/article-4346408/Russia-covered-nuclear-disaster-worse-Chernobyl.html Acessado em 14/03/2017 - Adaptado para fins educacionais.

• As informações contidas na notícia permitem afirmar que:

Free Cone Day 2017, create some buzz

This year, Hӓagen-Dazz® is dedicating Free Cone Day to some of our hardest workers – the honey bees. So, this May 9th, we won’t just be giving away free ice cream, we’ll be giving our flying friends some much needed recognition – and we’re inviting our fans to join us.

In exchange for the free treat, Hӓagen-Dazz® hopes “guests will pay it forward by planting wildflowers native to their region to help keep bees buzzing,” the company said in a news release.

• Relacionando-se figura e texto escrito, percebe-se que o objetivo da promoção da Hӓagen-Dazz® este ano é

• The headline that better suits the text and the photo above is:

• As sentenças abaixo apresentam notícias e as fotos as ilustram. Escolha a alternativa que apresenta a relação correta entre as notícias e as fotos.

1. The newly renovated bathrooms at Bryant Park, which The Times has described as the “Tiffany’s of public restrooms,” reopened last month after a $280,000 makeover.

2. The internal investigator at Rikers Island was placed on modified duty in response to accusations that he had spied on city investigators.

3. A witness gives an account of what happened when a homeless man fell onto the subway tracks.

4. The water crises on Long Island has resulted in “dead rivers, closed beaches, harmful algal blooms.”

• A afirmação feita sobre a cadeira do anúncio permite inferir que:

A New Zealand pizza chain aims to become the world's first company to offer a commercial drone delivery service, a milestone in the onceunthinkable quest to save time and money with an air-borne supply chain dispensing with people. Domino's Pizza Enterprises Ltd conducted a demonstration pizza delivery by drone in the New Zealand city of Auckland on Thursday, and afterwards said it aimed to be the first company to launch a regular drone service, late this year, despite the fact that Domino's Chief Executive Officer Don Meij had said in a statement "We've always said that it doesn't make sense to have a 2-tonne machine delivering a 2-kilogram order."

Even though Domino’s Pizza used in its test drones provided by U.S.-headquarted Australian drone company Flirtey, Philip Solaris, director of a New Zealand based drone company called X-craft Enterprises, said that while New Zealand has accommodating regulations on drones, Domino’s would be held back by a rule requiring drones to be kept in sight at all times, and added “I can't truly see how commercially viable that idea is because you would have to literally have somebody walking along to keep it in the line of sight, watching it at all times.” Other than that, he warned that “Domino’s service would still need to overcome random hazards (like) power lines, moving vehicles, children in the backyard playing”.

http://www.reuters.com/article/us-newzealand-drones-food-idUSKCN1100H0 Acessado 12/01/2017. Adaptado para fins educacionais

A New Zealand pizza chain aims to become the world's first company to offer a commercial drone delivery service, a milestone in the onceunthinkable quest to save time and money with an air-borne supply chain dispensing with people. Domino's Pizza Enterprises Ltd conducted a demonstration pizza delivery by drone in the New Zealand city of Auckland on Thursday, and afterwards said it aimed to be the first company to launch a regular drone service, late this year, despite the fact that Domino's Chief Executive Officer Don Meij had said in a statement "We've always said that it doesn't make sense to have a 2-tonne machine delivering a 2-kilogram order."

Even though Domino’s Pizza used in its test drones provided by U.S.-headquarted Australian drone company Flirtey, Philip Solaris, director of a New Zealand based drone company called X-craft Enterprises, said that while New Zealand has accommodating regulations on drones, Domino’s would be held back by a rule requiring drones to be kept in sight at all times, and added “I can't truly see how commercially viable that idea is because you would have to literally have somebody walking along to keep it in the line of sight, watching it at all times.” Other than that, he warned that “Domino’s service would still need to overcome random hazards (like) power lines, moving vehicles, children in the backyard playing”.

http://www.reuters.com/article/us-newzealand-drones-food-idUSKCN1100H0 Acessado 12/01/2017. Adaptado para fins educacionais

ATO INSTITUCIONAL Nº 5, DE 13 DE DEZEMBRO DE 1968.

“O PRESIDENTE DA REPÚBLICA FEDERATIVA DO BRASIL,

ouvido o Conselho de Segurança Nacional,

(...) Resolve editar o seguinte:

(...)

Art. 4º - No interesse de preservar a Revolução, o Presidente da República, ouvido o Conselho de Segurança Nacional, e sem as limitações previstas na Constituição, poderá suspender os direitos políticos de quaisquer cidadãos pelo prazo de 10 anos e cassar mandatos eletivos federais, estaduais e municipais.

Parágrafo único - Aos membros dos Legislativos federal, estaduais e municipais, que tiverem seus mandatos cassados, não serão dados substitutos, determinando-se o quorum parlamentar em função dos lugares efetivamente preenchidos.

Art. 5º - A suspensão dos direitos políticos, com base neste Ato, importa, simultaneamente, em:

I - cessação de privilégio de foro por prerrogativa de função;

II - suspensão do direito de votar e de ser votado nas eleições sindicais;

III - proibição de atividades ou manifestação sobre assunto de natureza política;

IV - aplicação, quando necessária, das seguintes medidas de segurança:

a) liberdade vigiada;

b) proibição de freqüentar determinados lugares;

c) domicílio determinado; (…)

Art. 10º - Fica suspensa a garantia de habeas corpus, nos casos de crimes políticos, contra a segurança nacional, a ordem econômica e social e a economia popular.” 

Retirado de: http://www.planalto.gov.br/ccivil_03/AIT/ait-05-68.htm. Acesso em 24/05/2017

ATO INSTITUCIONAL Nº 5, DE 13 DE DEZEMBRO DE 1968.

“O PRESIDENTE DA REPÚBLICA FEDERATIVA DO BRASIL,

ouvido o Conselho de Segurança Nacional,

(...) Resolve editar o seguinte:

(...)

Art. 4º - No interesse de preservar a Revolução, o Presidente da República, ouvido o Conselho de Segurança Nacional, e sem as limitações previstas na Constituição, poderá suspender os direitos políticos de quaisquer cidadãos pelo prazo de 10 anos e cassar mandatos eletivos federais, estaduais e municipais.

Parágrafo único - Aos membros dos Legislativos federal, estaduais e municipais, que tiverem seus mandatos cassados, não serão dados substitutos, determinando-se o quorum parlamentar em função dos lugares efetivamente preenchidos.

Art. 5º - A suspensão dos direitos políticos, com base neste Ato, importa, simultaneamente, em:

I - cessação de privilégio de foro por prerrogativa de função;

II - suspensão do direito de votar e de ser votado nas eleições sindicais;

III - proibição de atividades ou manifestação sobre assunto de natureza política;

IV - aplicação, quando necessária, das seguintes medidas de segurança:

a) liberdade vigiada;

b) proibição de freqüentar determinados lugares;

c) domicílio determinado; (…)

Art. 10º - Fica suspensa a garantia de habeas corpus, nos casos de crimes políticos, contra a segurança nacional, a ordem econômica e social e a economia popular.” 

Retirado de: http://www.planalto.gov.br/ccivil_03/AIT/ait-05-68.htm. Acesso em 24/05/2017

“No início do século XVII, temos as primeiras referências, nos documentos, a escravos fugidos que formam uma comunidade na área dos Palmares, na região serrana a cerca de 60 quilômetros da costa do atual estado de Alagoas, por volta de 1605. (...) Em 1667, os quilombolas começaram a atacar fazendas para conseguir armas, libertar escravos e vingar-se de senhores e feitores. (...)Os ataques portugueses intensificaram-se nos anos seguintes, sem sucesso, até que o paulista Domingos Jorge Velho ofereceu-se para conquistar os índios de Pernambuco, em 1685, o que abria as portas para sua atuação, também, no combate aos escravos fugidos e agrupados em Palmares.”

FUNARI, Pedro Paulo e CARVALHO, Aline Vieira de. Palmares, ontem e hoje. Rio de Janeiro: Jorge ZAHAR Editor, 2005, pp. 11-13

“Em meados de 1887, escravos fugidos de várias partes da província, estimulados pelos caifazes, organizaram no Mont Serrat, em Santos, no litoral paulista, o Quilombo do Jabaquara – uma verdadeira cidade, de onde seus ocupantes saíam para trabalhar nas minas de carvão ou como carregadores de café no porto. Foi a maior colônia de escravos fugidos no período.

O Quilombo do Jabaquara fazia parte de uma rede de quilombos muito mais ampla, ligada à Confederação Abolicionista – criada em 1883 na sede do jornal Gazeta da Tarde, na cidade do Rio de Janeiro por José do Patrocínio, João Clapp, André Rebouças, Aristides Lobo e muitos outros intelectuais, jornalistas, empresários etc.”

VAINFAS, Ronaldo e outros. História. São Paulo: Editora Saraiva, 2014. p. 485.

Os textos permitem afirmar que os quilombos no Brasil