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Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619228
Matemática
A representação geométrica, no Plano de Argand-Gauss, do conjunto de pontos que satisfazem
a condição | z + 2 -3i | = | z - 1 + 4i | , com z = x + yi, sendo x e y números reais, é reta de
equação
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619227
Matemática
O ponto simétrico do ponto (1,5) em relação à reta de equação 2x + 3y - 4 = 0 é o ponto
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619226
Matemática
Seja x um número real, I a matriz identidade de ordem 2 e A a matriz quadrada de ordem 2, cujos elementos são definidos por aij = i - j. Sobre a equação em x definida por det(A - xI) = x + det A é correto afirmar que
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619225
Matemática
Considere a função bijetora f: [1,+ ∞ ) → (- ∞, 3], definida por f(x) = -x2 + 2x + 2 e seja (a, b) o ponto de intersecção de f com sua inversa. O valor numérico da expressão a + b é
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619224
Matemática
A função f: IR→ IR definida por f(x) = x4 - 5x3 + 5x2 + 5x - 6 tem como algumas de suas raízes os números -1 e 1. Assinale a alternativa que representa o conjunto de todos os números reais para os quais a função f (x) é positiva.
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619223
Matemática
Sabendo que “c” e “d” são números reais, o maior valor de “d” tal que a função f: IR → IR definida por 
seja injetora é
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619222
Matemática
Assinale a alternativa que representa o conjunto de todos os números reais para os quais está definida a função 
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619221
Matemática
O polinômio f(x) = x5 - x3 + x2 + 1 ,quando dividido por q(x) = x3 - 3x + 2 deixa resto r(x). Sabendo disso, o valor numérico de r(-1) é
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619220
Matemática
Seja 
.O conjunto solução da desigualdade 
no intervalo [0,2 π]é igual a
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619219
Matemática
Permutam-se de todas as formas possíveis os algarismos 1, 3, 5, 7, 9 e, escrevem-se os
números assim formados em ordem crescente. A soma de todos os números assim formados é
igual a
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619218
Matemática
Um cone de revolução tem altura 4 cm e está circunscrito a uma esfera de raio 1 cm. O volume
desse cone (em cm3) é igual a
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619217
Matemática
O termo independente de x no desenvolvimento de 
é igual a
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619216
Matemática
Um fabricante de poltronas pode produzir cada peça ao custo de R$ 300,00. Se cada uma for vendida por x reais, este fabricante venderá por mês ( 600 – x) unidades, em que ≤ x ≤ 600 Assinale a alternativa que representa o número de unidades vendidas mensalmente que
corresponde ao lucro máximo.
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619215
Matemática
A população de peixes em uma lagoa varia conforme o regime de chuvas da região. Ela
cresce no período chuvoso e decresce no período de estiagem. Esta população é descrita pela expressão 
em que o tempo t é medido em meses. É correto afirmar que
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619214
Matemática
O número de soluções da equação 
, no conjunto IR, é
Ano: 2014
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2014 - EsPCEx - Cadete do Exército - 2° Dia |
Q619213
Matemática
De uma caixa contendo 50 bolas numeradas de 1 a 50 retiram-se duas bolas, sem reposição.
A probabilidade do número da primeira bola ser divisível por 4 e o número da segunda bola ser
divisível por 5 é
Ano: 2015
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2015 - EsPCEx - Cadete do Exército - 2° Dia |
Q616990
Inglês
Texto associado
We’re so well educated – but we’re useless
Record numbers of students have entered higher education in the past 10 years, but despite
being the most educated generation in history, it seems that we’ve grown increasingly ignorant
when it comes to basic life skills.
Looking back on my first weeks living in student halls, I consider myself lucky to still be alive.
I have survived a couple of serious boiling egg incidents and numerous cases of food-poisoning,
probably from dirty kitchen counters. Although some of my clothes have fallen victim to ironing
experimentation, I think I have now finally acquired all the domestic skills I missed out in my
modern education.
Educationist Sir Ken Robinson says that our current education system dislocates people from
their natural talents and deprives us of what used to be passed from generation to generation – a
working knowledge of basic life skills. Today’s graduates may have earned themselves distinctions
in history, law or economics, but when it comes to simple things like putting up a shelf to hold all
their academic books, or fixing a hole in their on-trend clothes, they have to call for help from a
professional handyman or tailor.
Besides what we need to know for our own jobs, we must have practical skills. We don’t grow
our own crops, build our own houses, or make our own clothes anymore; we simply buy these
things. Unable to create anything ourselves, what we have mastered instead is consumption.
Sociologist Saskia Sassen argues that the modern liberal state has created a middle class
that isn’t able to “make” anymore. I suggest that we start with the immediate reintroduction of
some of the most vital aspects of “domestic science” education. Instead of only maths, language
and history, we should create an interactive learning environment in schools where craftsmanship
and problem-solving are valued as highly as the ability to absorb and regurgitate information. We
need to develop children into people that not only think for themselves, but are also able to act for
themselves.
Adapted from http://www.guardian.co.uk/education/
mortarboard/2013/feb/25/well-educated-but-useless
In the sentence “Besides what we need to know for our own jobs, we must have practical
skills." (paragraph 4), the word besides can be replaced by
Ano: 2015
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2015 - EsPCEx - Cadete do Exército - 2° Dia |
Q616989
Inglês
Texto associado
We’re so well educated – but we’re useless
Record numbers of students have entered higher education in the past 10 years, but despite
being the most educated generation in history, it seems that we’ve grown increasingly ignorant
when it comes to basic life skills.
Looking back on my first weeks living in student halls, I consider myself lucky to still be alive.
I have survived a couple of serious boiling egg incidents and numerous cases of food-poisoning,
probably from dirty kitchen counters. Although some of my clothes have fallen victim to ironing
experimentation, I think I have now finally acquired all the domestic skills I missed out in my
modern education.
Educationist Sir Ken Robinson says that our current education system dislocates people from
their natural talents and deprives us of what used to be passed from generation to generation – a
working knowledge of basic life skills. Today’s graduates may have earned themselves distinctions
in history, law or economics, but when it comes to simple things like putting up a shelf to hold all
their academic books, or fixing a hole in their on-trend clothes, they have to call for help from a
professional handyman or tailor.
Besides what we need to know for our own jobs, we must have practical skills. We don’t grow
our own crops, build our own houses, or make our own clothes anymore; we simply buy these
things. Unable to create anything ourselves, what we have mastered instead is consumption.
Sociologist Saskia Sassen argues that the modern liberal state has created a middle class
that isn’t able to “make” anymore. I suggest that we start with the immediate reintroduction of
some of the most vital aspects of “domestic science” education. Instead of only maths, language
and history, we should create an interactive learning environment in schools where craftsmanship
and problem-solving are valued as highly as the ability to absorb and regurgitate information. We
need to develop children into people that not only think for themselves, but are also able to act for
themselves.
Adapted from http://www.guardian.co.uk/education/
mortarboard/2013/feb/25/well-educated-but-useless
In the sentence “I think I have now finally acquired all the domestic skills I missed out in my
modern education." (paragraph 2), the words missed out mean
Ano: 2015
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2015 - EsPCEx - Cadete do Exército - 2° Dia |
Q616988
Inglês
Texto associado
We’re so well educated – but we’re useless
Record numbers of students have entered higher education in the past 10 years, but despite
being the most educated generation in history, it seems that we’ve grown increasingly ignorant
when it comes to basic life skills.
Looking back on my first weeks living in student halls, I consider myself lucky to still be alive.
I have survived a couple of serious boiling egg incidents and numerous cases of food-poisoning,
probably from dirty kitchen counters. Although some of my clothes have fallen victim to ironing
experimentation, I think I have now finally acquired all the domestic skills I missed out in my
modern education.
Educationist Sir Ken Robinson says that our current education system dislocates people from
their natural talents and deprives us of what used to be passed from generation to generation – a
working knowledge of basic life skills. Today’s graduates may have earned themselves distinctions
in history, law or economics, but when it comes to simple things like putting up a shelf to hold all
their academic books, or fixing a hole in their on-trend clothes, they have to call for help from a
professional handyman or tailor.
Besides what we need to know for our own jobs, we must have practical skills. We don’t grow
our own crops, build our own houses, or make our own clothes anymore; we simply buy these
things. Unable to create anything ourselves, what we have mastered instead is consumption.
Sociologist Saskia Sassen argues that the modern liberal state has created a middle class
that isn’t able to “make” anymore. I suggest that we start with the immediate reintroduction of
some of the most vital aspects of “domestic science” education. Instead of only maths, language
and history, we should create an interactive learning environment in schools where craftsmanship
and problem-solving are valued as highly as the ability to absorb and regurgitate information. We
need to develop children into people that not only think for themselves, but are also able to act for
themselves.
Adapted from http://www.guardian.co.uk/education/
mortarboard/2013/feb/25/well-educated-but-useless
What is the main topic of the text?
Ano: 2015
Banca:
Exército
Órgão:
EsPCEx
Prova:
Exército - 2015 - EsPCEx - Cadete do Exército - 2° Dia |
Q616987
Inglês
Texto associado
Children experience basic training and mock deployment
The 460th Force Support Squadron (FSS) hosted the 6th Annual Operation Future Forces
(OFF) Sept. 13, 2014, at Camp Rattlesnake. OFF allows children ages 8-18 to experience what
military members endure from basic training to technical school to a mock deployment, ending
with a homecoming party.
“The youth mock deployment was developed to alleviate many of the stresses commonly
experienced by young family members when one or both parents are deployed,” said Thomas
Cox, 460th FSS youth program chief. “Everything from basic training, tech schools, camp activities
and accomplishing their mission as a team made the event a one of a kind opportunity for military
kids.”
A few of the boys had their heads shaved before heading off to “Basic Military Training.” The
training consisted of doing push-ups and sit-ups, jumping through hula-hoops and running through
an inflatable castle. They were also taught how to stand at attention, salute and do an about-face.
After basic training, each child attended “technical school” and was taught a specific Air
Force Specialty Code to help them in their mock deployment. Some children were taught lifesaving
self-aid and buddy care skills while others learned about the importance of radio communications
while on a deployment.
The tech-school graduates were then issued water pistols before heading out. During their
deployment, the children encountered hostile and non-hostile citizens, a water-balloon fight and
injured allies who needed help along the way.
At the end of a long day, loved ones waited outside the youth center on base with homemade
signs welcoming the “troops” back home.
“This event was great,” said Senior Airman Jasmine Madison, 460th FSS Force Support Force
Management technician. “It’s a way for kids to get a hands-on understanding of what their parents
do when they are separated from them during deployments.”
Adapted from http://www.buckley.af.mil/news/story.asp?id=123424927
According to the text, choose the correct statement.
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