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2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

2? Simulado IN?DITO - EN- 2022 (1? Dia)

Estrat?gia Militares

INSTRU??ES!

? Esta prova cont?m 40 quest?es objetivas, com 5 alternativas cada, e simula a prova da EN; ? Voc? receber? esta prova via e-mail cadastrado no ato da inscri??o ou poder? baixar em um artigo publicado no blog

do Estrat?gia Militares. Baixe-a e imprima-a se preferir; ? Os participantes ter?o das 10h ?s 15h (hor?rio de Bras?lia) para responder ?s quest?es e enviar o gabarito com as

respostas; ? Somente ser?o corrigidas as reda??es de alunos matriculados em nossos cursos regulares. Para ter seu texto corrigido,

envie o arquivo da foto da folha pela aba Minhas Reda??es, na ?rea do Aluno; ? N?o ser?o corrigidas as reda??es de candidatos que n?o s?o nossos alunos de pacotes ou curso regulares; ? Seu gabarito deve ser enviado atrav?s de um formul?rio eletr?nico que ficar? dispon?vel nesta prova e no blog do

Estrat?gia Militares; ? O Formul?rio estar? dispon?vel para preenchimento durante toda aplica??o da prova; ? A partir das 19h do dia 20 de mar?o de 2021, ser? divulgado o gabarito deste simulado; ? O resultado oficial do simulado com o desempenho dos candidatos ser? divulgado no dia 20 de mar?o de 2021, a partir

das 19h (hor?rio de Bras?lia);

Cronograma ? 20/03/2021

? In?cio da prova: ?s 10h. ? Fim da prova: ?s 15h. ? Limite para envio do gabarito: ?s 15h. ? Divulga??o do gabarito: a partir das 19h. ? Divulga??o do ranking: a partir das 19h. ? Divulga??o da corre??o em PDF: a partir das 19h do dia 23/03/2021

Preencha seu Gabarito!

(INSERIR BANNER e LINK)

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 1

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Se a imagem abaixo ? um recorte do gr?fico da fun??o () = + , de dom?nio real.

QUEST?O 3

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Sejam as retas no 3 1: (, , ) = (2,6, -3) + (1, -3,0) e 2: (1,2, -4) + (1,4,1), sendo e . Dessa maneira, o plano definido por essas duas retas intersecta o eixo no valor de igual a:.

(A) -12 (B) -2 (C)19 (D) 11 (E) 37

Portanto, o valor de 2 + + ?:

2

(A) -2 (B) 7 (C) 8 (D) 4 (E) 3

QUEST?O 2

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Seja uma elipse centrada na origem de focos (-5,0) e . Seja (4,3) um ponto sobre a elipse, e outro ponto sobre elipse tal que ? uma corda focal passando por . Dessa maneira, o valor de + ?:

QUEST?O 4

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Considere a equa??o 4 - 53 + 62 + + = 0 , onde e s?o os valores para os quais a equa??o admita uma raiz tripla. Assinale a op??o que apresenta a soma dos poss?veis valores de (2 + 2)

(A) 23285

225

(B) 22465

256

(C) 41676

289

(D) 52467

36

(E) 78631

144

210

125 5

310 10

3210 5

227 5

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 5

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So)

Sejam gf e f fun??es reais definidas por () =

{5

2+ 3

2 - 7, + 7, < 2

2

e

() = 4 - 1.

Dessa

forma,

a

alternativa que descreve corretamente a lei de forma??o de

() ?:

52+18-99 , 8

(A) () = {

16

+31 , < 8

-2

52+48-99 , 7

(B) () = {

16

3+31 , < 7

4

-32+45+19 , -7

(C) () = {

16

3+1 , < -1

2

22+35-24 , 1

(D) () = {

16

+1 , < 1

4

52+48-99 , 7

(E) () = {

8

3+41 , < 7

2

QUEST?O 6

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Considere os planos e definidos por : 2 + 2 - 3 - 12 = 0 e : = (4, 2, -1) + (1, -2, 0) + (5, 0, -1), com , . Se e s?o pontos distintos do espa?o pertencentes a ambos os planos, ent?o a equa??o da reta , para

(A) = (7, -4, -2) + (13, 26, -2) (B) = (19, -4, -1) + (12, 13, -2) (C) = (17, -14, -2) + (23, -26, -2) (D) = (27, -1, 2) + (7, -6, 5) (E) = (2, -14, -11) + (15, -7, 25)

QUEST?O 7

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) O valor do somat?rio

= 2-1

para = 2 ?, em fun??o de , igual a:

(A) 2(2 - 2 + 3) - 3 (B) 2(2 - 5 + 9) - 1 (C) 2+1(22 - 2 + 10) - 3 (D) 2(2 + 5) - 2 (E) 2+1 (2 - 7 + 11) + 2

QUEST?O 8

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Ao retirar um n?mero do conjunto {1, 2, 3, ... , 2021, 2022}, a probabilidade de ele ser um quadrado perfeito ou cubo perfeito ?, em porcentagem:.

(A) 3,8% (B) 4,3% (C) 1,8% (D) 5,1% (E) 2,6%

QUEST?O 9

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) O

valor

de

lim

+

3-4+8-sen() 23+2-3+cos()

?

igual

a:

(A) 0 (B) 0,5 (C) 1 (D) ( )

12

(E) +

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 10

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Seja a fun??o = () definida pela curva 2 - 2 = 4 considerando apenas no primeiro quadrante. Sendo assim, o valor de lim (() -32) ?:

+

(A) indefinido (B) (C) - (D) 0 (E) 1

QUEST?O 13

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Seja o n?mero complexo tal que | - 3 - 4| = 6. O maior valor de ||, portanto, ?:

(A) 9 (B) 11 (C) 243 (D) 8 (E) 337

QUEST?O 11

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Se , e s?o inteiros positivos, onde 3 + 3 = 3 ent?o pode-

se afirmar:

(I)

Se a e b s?o ?mpares, ent?o c tamb?m ?.

(II) Se c=3 e a+b=3, ent?o 2ab=5

(III) Se a=2 e c-b=4 ent?o 3bc=-1

(A) Apenas a (I) est? correta (B) Apenas (I) e (II) est?o erradas (C) Apenas (I) ? correta. (D) Apenas (III) est? errada (E) Todas est?o erradas.

QUEST?O 12

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Seja a fun??o definida por () = 2+1, ent?o calcule a equa??o

5-

da reta que passa por (1,6) e pelo ponto de inflex?o de ()

(A) 39 - 31 - 203 = 0 (B) 49 + 12 + 231 = 0 (C) 23 - 18 - 157 = 0 (D) 52 + 67 - 234 = 0 (E) 9 - 31 + 123 = 0

QUEST?O 14

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Suponha que os estados do Brasil: S?o Paulo, Rio de Janeiro, Alagoas, Pernambuco e Goi?s possuem popula??es de 45,15,3,10 e 7, respectivamente, em milh?es de habitantes. ? dito que 200 milh?es de vacinas ser?o distribu?das para estes estados da seguinte maneira: 140 milh?es ser?o divididas proporcionalmente ?s popula??es destes, e o restante ser? distrubu?do livremente em pacotes de 4 milh?es de vacinas. Sendo assim, o total de maneiras de distribuir as 200 milh?es de vacinas para esses estados ?:

(A) 1108 (B) 3876 (C) 2561 (D) 3645 (E) 4845

QUEST?O 15

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Quantos inteiros positivos n?o excedendo 2022 s?o m?ltiplos de 3 ou 4, mas n?o de 7?

(A) 867 (B) 167 (C) 427 (D) 657 (E) 397

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 16

QUEST?O 19

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) A

sequ?ncia geom?trica () possui 1 = cos , e 2 = sen e 3 = , para um real. Dermine o menor natural tal que = 1 +

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Seja tal que 2 - 3 + 4 = 0, e sejam as express?es = 3 - 4 + 8 e = 2 - 4, ent?o o valor de + ? igual a:

(A) 5 (B) 6 (C) 7 (D) 8 (E) 9

(A) -2 (B) 4 (C) -6 (D) 7 (E) -8

QUEST?O 17

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Em uma pista triangular equil?tera de v?rtices , de 10 de lado, um carro 1 parte de com velocidade constante 4 em dire??o ao v?rtice . Outro carro 2 sai de em dire??o a com velocidade constante 3. Se os carros saem de seus pontos de partida ao mesmo instante, ent?o a soma das dist?ncias percorridas pelo carro 1 e pelo carro 2 at? o momento em que a dist?ncia entre eles ? m?nima ?, aproximadamente, em metros:

QUEST?O 20

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Na figura abaixo, ? um hex?gono regular e ? um tri?ngulo equil?tero, com = 6 e = 10. Se ? fixo no centro do hex?gono, sobre a ?rea interna ao tri?ngulo que ? externa ao hex?gono, pode-se afirmar

(A) 11,5 (B) 9,2 (C) 12,8 (D) 13,7 (E) 10,4

QUEST?O 18

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Considere as resolu??es (, ) do sistema:

{log7

+ 2log2 = 715

=

8

A curva que passa por esses pontos ? descrita por:

possui valor m?ximo de 253 ? constante para qualquer posi??o relativa e igual a 163 depende da posi??o relativa entre os pol?gonos n?o ? poss?vel definir

tem valor m?nimo de 93

8232 + - 41503 = 0 8232 + 2 - 341 + 41503 = 0 8282 + 4 - 45103 = 0 8232 - 2 - 41530 = 0 2832 - 13 - 82822 = 0

QUEST?O 21

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Se o triplo da mediana de uma popula??o cujos elementos est?o em PA, com n?mero ?mpar de elementos, ? igual a sua m?dia somada a 8, ent?o pode-se afirmar que essa popula??o possui mediana igual a

4

5

6

5

8

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 22

(Estrat?gia Militares 2021 ? In?dita ? Prof. Victor So) Suponha um dado desonesto, tal que as probabilidades dos seus resultados serem 1, 2, 3, 4, 5 e 6 s?o 1 , 1 , 1 , 1 , 1 , 1 ,

12 12 6 6 6 3

respectivamente. Define-se o valor esperado do resultado do lan?amento do dado como:

6

() = ()

=1

Em que ? a vari?vel aleat?ria associada ao resultado do lan?amento, s?o os poss?veis resultados do lan?amento do dado, e () a probabilidade de cada resultado acontecer. Sabendo que a vari?ncia associada a ? dada por:

1,2876

3,9841

8,6723

2,6875

6,8845

Based on the text below, answer the six questions that follow it.

Nervous about socialising again? Here's how to handle the end of lockdown

If the limit of your conversational prowess this past year has been to grunt through Zoom meetings, discuss dinner plans with your flatmate, nag your children or make passive-aggressive comments to the cat, you may feel out of practice now that large gatherings look tantalisingly within reach. Perhaps you've quite enjoyed this period of government-mandated introversion, and dread the idea that you may be expected to socialise. Either way, if all goes according to plan, this era of social distancing may be starting to close. For those feeling a little daunted, here's how to ease yourself back in.

Some social anxiety is normal It is part of being human, says Emma Warnock-Parkes, a clinical psychologist and researcher on social anxiety disorder at Oxford University. "We've all been socially deprived this last year, and when you haven't done something for a while, it can feel a bit strange going back into it." The social rules may also have changed ? do you hug? Do you need to wear a mask? "Some anxiety is understandable, so we need to give ourselves a bit of a break." You can't lose social skills "We acquire most of our social skills between the ages of zero and seven," says the clinical psychologist Linda Blair. "Sometimes they're hard to get at and we have to dig way down, but they're there." It may take a reminder of what is

socially acceptable ? have your table manners become sloppy? ? but your fundamental skills won't have withered irreparably. Also, remember that the changes to restrictions will be gradual, she adds. "You don't have to brace yourself for something that feels like a tsunami."

(Adapted from )

QUEST?O 23

(Estrat?gia Militares 2021? In?dita ? Prof. Leonardo Pontes) According to the text, which option is correct?

(A) Last year was an example of a context completely immersed in introversion

(B) The context of social isolation was entirely voluntary on the part of the population

(C) Socialization will never be the same, since this pandemic context has no end in sight

(D) Social isolation is at the beginning for our society (E) The population does not fear the return to social life.

QUEST?O 24

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) What's the meaning of the word "daunted" in

paragraph 1?

(A) Encouraged (B) Delighted (C) Sad (D) Puzzled (E) Intimidated

QUEST?O 25

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) In paragraph 3, the word "she" refers to

(A) Emma Warnock-Parkes (B) Linda Blair (C) The author (D) The reader (E) Social skills

QUEST?O 26

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) According to the text, which option completes the

sentence below correctly?

Social anxiety ___ normal for humans.

(A) Was (B) Is (C) Has been (D) Had been (E) Will be

2? Simulado IN?DITO - EN- 2022 (1? Dia) Estrat?gia Militares ? 20/03/2021

QUEST?O 27

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) According to the text, which option is correct?

QUEST?O 31

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) Which is the correct option to complete the

paragraph below?

(A) Social anxiety is restricted to moments such as social isolation

(B) Feel some kind of strangeness when being inserted back into social life, it's not normal

(C) One must be rigid with oneself to guarantee a reintegration into social life

(D) Childhood is very important to define our sociability (E) The basic social skills of individuals disappeared in this

pandemic moment

QUEST?O 28

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) What's the meaning of the word "sloppy" in

paragraph 3?

(A) Clever (B) Clean (C) Careless (D) Graceful (E) Tidy

"In June 2020, the Minneapolis city council ____ plans to disband its police department following the killing of George Floyd. The council's decision ____ after days of protesting and unrest in the city--and across the country--related to Floyd's death and calls for larger-scale accountability from law enforcement. Central in many of these calls-for-action was a phrase soon to go global: `defund the police.'"

(Adapted from )

(A) Announced / came (B) Announces / came (C) Announces / comes (D) Had announced / came (E) Has announced / came

QUEST?O 32

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) Which word best completes the question below?

How ____ of you managed to finish college?

QUEST?O 29

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) Which is the correct option to complete the

paragraph below?

"Hummingbirds might be instantly recognisable ___ their eponymous sound, but ___ cause of the characteristic has long been ___ mystery."

(Adapted from )

(A) From / the / a (B) By / the / a (C) From / its / an (D) From / the / an (E) By / the / an

QUEST?O 30

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) Which option completes the dialogue below

correctly?

Jonh: How was it at school?

Carie: It was good. I have a lot of homework to ___!

(A) Much (B) Many (C) Often (D) Very (E) Lot of

QUEST?O 33

(Estrat?gia Militares 2021 ? In?dita ? Prof. Leonardo Pontes) Which option completes the paragraph below

correctly?

"Atlanta Police Chief Rodney Bryant said three people ____ killed at a spa in northeast Atlanta, while a fourth person ____ killed at another spa across the street. He said all four victims were female, and `It appears that they may be Asian.'"

(Adapted from )

(A) Was / was (B) Were / were (C) Was / were (D) Were / was (E) Have been / was

(A) Did (B) Was doing (C) Done (D) Do (E) Have done

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