Questões da Prova FATEC - 2011 - FATEC - Vestibular - Prova 01
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Q616769
Matemática
Parte do gráfico de uma função real f, do 1° grau, está representada na figura a seguir.
Sendo g a função real definida por g(x) = x3 + x, o valor de f −1(g(1)) é
Sendo g a função real definida por g(x) = x3 + x, o valor de f −1(g(1)) é
Q616768
Matemática
No plano cartesiano da figura, estão representados a circunferência trigonométrica e o triângulo OPQ tal que:
• os pontos P e Q pertencem à circunferência trigonométrica e são simétricos em relação ao eixo Oy, e
• P é a extremidade do arco de medida 75° .
Nessas condições, a área do triângulo POQ é
• os pontos P e Q pertencem à circunferência trigonométrica e são simétricos em relação ao eixo Oy, e
• P é a extremidade do arco de medida 75° .
Nessas condições, a área do triângulo POQ é
Q616767
Matemática
Considere a equação polinomial x3 − 9x2
+ kx + 21 = 0, com k real. Se suas raízes estão em progressão aritmética,
o valor de log2 (3k − 1)2
é
Q616766
Matemática
O sólido da figura é composto pela pirâmide quadrangular PQRST e pelo cubo ABCDEFGH, cuja aresta mede 2. Sabendo que os
vértices da base da pirâmide são pontos médios dos lados do quadrado ABCD e que a distância do ponto P ao plano (A,B,C) é
igual a 6, então o volume do sólido é igual a
Q616765
Inglês
Texto associado
CHINA'S NEW SEX SYMBOLS
BY ISAAC STONE FISH
ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks1 would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.
What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.
There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts2 with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.
( Newsweek, February 7, 2011.)
apparatchiks1 : burocratas do partido comunista chinês
trysts2 : encontros secretos
BY ISAAC STONE FISH
ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks1 would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.
What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.
There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts2 with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.
( Newsweek, February 7, 2011.)
apparatchiks1 : burocratas do partido comunista chinês
trysts2 : encontros secretos
No último parágrafo do texto, a preposição despite empregada
em − despite the womanizing − pode ser substituída por
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