Instituição
147 questões de Faculdade de Medicina de Marília, de 2016 a 2019. Cada uma tem página própria, com enunciado completo, alternativas e gabarito — e dá para responder na própria página.
Considere as matrizes A = (aij)
2×3
, com aij = 2i – j, B= 
e C= 
, sendo m um número real. Sabendo que
C = A · B, então det C é igual a
Em um plano cartesiano, o ponto C (2, 3) é o centro de umacircunferência de raio √2. O ponto P, de ordenada 4, pertence à circunferência, e a reta r, que passa pelos pontos P e C, intersecta os eixos coordenados nos pontos R e S, conforme mostra a figura.
Sabendo que o segmento 
está contido no 1o
quadrante, a
distância entre os pontos R e S é
Considere o quadrado ABCD, de lado 4 cm, e o retângulo EFGH, com EF = 2 cm, CF = 1 cm e os pontos B, G, C e F alinhados, conforme mostra a figura.
Sabendo que G é ponto médio do lado 
, que o ponto K
pertence ao lado 
e que os pontos A, K e F estão alinhados, a área do quadrilátero FGHK é
A figura mostra um quadrado ABCD, com 6 cm de lado, e um
triângulo retângulo ABF de hipotenusa 
, com o ponto F no
prolongamento do lado 
e o ponto E sendo a intersecção
dos segmentos 
e 
.
Sabendo que o ângulo FÂB mede 60º, a medida do segmento 
é
Analisando a tabela e considerando conhecimentos acerca
do meio ambiente no território brasileiro, pode-se afirmar que
os números 1, 2 e 3 correspondem, respectivamente,
O Atlas Brasileiro de Energia Solar recomenda investimentos
em novas plantas de geração de energia solar no sudoeste
de Minas Gerais, no noroeste de São Paulo e no norte do
Paraná, embora elevados níveis de irradiação sejam encontrados no Nordeste do país. Essa aparente contradição é refutada por haver
Para determinar __________ no mar, basta sair do porto com um relógio que não se desacerte e, ao meio-dia local, determinar a hora no porto de partida. Com a ajuda das tábuas de navegar que têm as horas do meio-dia no porto de partida, para todos os dias do ano, os pilotos podem calcular a diferença horária entre o meio-dia solar do ponto em que estão e o do porto de partida. Por cada hora de diferença horária, estão mais ou menos 15 graus para leste ou oeste em relação ao porto de partida.
(www.cienciaviva.pt. Adaptado.)
Assinale a alternativa que preenche corretamente a lacuna
do texto.
Ibn al-Khatib, médico e filósofo muçulmano de Granada, escreveu sobre a Peste Negra no século XIV: “A existência do contágio é estabelecida pela experiência, investigação, evidência dos sentidos e relatos dignos de fé. O fenômeno do contágio torna-se claro para o investigador que verifica como aquele que entra em contato com os enfermos apanha a doença, enquanto o que não está em contato permanece são, e como a transmissão se efetua através do vestuário, vasilhame e atavios.”
(Maria Guadalupe Pedrero-Sánchez. A Península Ibérica entre o Oriente e o Ocidente, 2002. Adaptado.)
Esse comentário sobre a epidemia revela
Havia muito capital e muita riqueza entre os lavradores de cana, alguns ligados por laços de sangue ou matrimônio aos senhores de engenho. Havia também um bom número de mulheres, não raro viúvas, participando da economia açucareira. Digno de nota até o fim do século XVIII, contudo, era o fato de os lavradores de cana serem quase invariavelmente brancos. Os negros e mulatos livres simplesmente não dispunham de créditos ou capital para assumir os encargos desse tipo de agricultura.
(Stuart Schwartz. “O Nordeste açucareiro no Brasil Colonial”. In: João Luis R. Fragoso e Maria de Fátima Gouvêa (orgs). O Brasil Colonial, vol 2, 2014.)
O excerto indica que a sociedade colonial açucareira foi
No século XIX, o movimento mais amplo é a Revolução Industrial, cuja força-motora é a Grã-Bretanha, que passa a ocupar, sem o menor esforço, o lugar da Espanha e de Portugal na América do Sul, tanto para escoar seus produtos industriais como para controlar os circuitos comerciais. Os novos Estados endividam-se para comprar as maravilhas da indústria inglesa e os ingleses contentam-se em fazer negócios. Em Cuba, as companhias norte-americanas apropriam- -se das terras açucareiras. Pouco depois, as planícies da América Central são atacadas: está nascendo o império bananeiro, controlado por Boston.
(Marc Ferro. Histórias das colonizações, 1996. Adaptado.)
O excerto alude
Observe a charge sobre o Tratado de Versalhes.
A charge estabelece uma relação entre
A tragédia dos últimos meses do governo Goulart residiu na tendência cada vez mais acentuada de se descartar a via democrática para a solução da crise. A direita ganhou os conservadores moderados, sobretudo amplos setores da classe média, para sua perspectiva de que só uma revolução promoveria a “purificação da democracia”, pondo fim aos perigos do comunismo, à luta de classes, ao poder dos sindicatos e à corrupção. Na esquerda, a então chamada democracia formal era vista apenas como um instrumento que ia se tornando inútil, ao aproximar-se a tomada do poder.
(Boris Fausto. “A vida política”. In: Angela de Castro Gomes (org). Olhando para dentro: 1930-1964, vol 4, 2013. Adaptado.)
Essa interpretação do historiador sobre o final do governo de
João Goulart (1961-1964) remete
Drinking coffee could help you live longer Coffee not only helps you feel full of beans, it might add years to your life as well, two major studies have shown. Scientists in Europe and the US have uncovered the clearest evidence yet that drinking coffee reduces the risk of death.
One study of more than half a million people from 10 European countries found that men who downed at least three cups of coffee a day were 18% less likely to die from any cause than non-coffee drinkers. Women drinking the same amount benefited less, but still experienced an 8% reduction in mortality over the period measured.
Similar results were reported by American scientists who conducted a separate investigation, recruiting 185855 participants from different ethnic backgrounds. Irrespective of ethnicity, people who drank two to three cups of coffee daily had an 18% reduced risk of death.
Each of the studies, both published in the journal Annals of Internal Medicine, showed no advantage from drinking either caffeinated or decaffeinated coffee. Experts believe the antioxidant plant compounds in coffee rather than caffeine are responsible for the life-extending effect. Previous research has suggested that drinking coffee can reduce the risk of heart disease, diabetes, liver disease, and some cancers.
Dr Marc Gunter, from the International Agency for Research on Cancer, who led the European study with colleagues from Imperial College London, said: “We found that higher coffee consumption was associated with a lower risk of death from any cause and specifically for circulatory diseases and digestive diseases. Importantly, these results were similar across all of the 10 European countries, with variable coffee drinking habits and customs. Our study also offers important insights into the possible mechanisms for the beneficial health effects of coffee.”
(www.huffingtonpost.co.uk, 11.07.2017. Adaptado.)
Drinking coffee could help you live longer Coffee not only helps you feel full of beans, it might add years to your life as well, two major studies have shown. Scientists in Europe and the US have uncovered the clearest evidence yet that drinking coffee reduces the risk of death.
One study of more than half a million people from 10 European countries found that men who downed at least three cups of coffee a day were 18% less likely to die from any cause than non-coffee drinkers. Women drinking the same amount benefited less, but still experienced an 8% reduction in mortality over the period measured.
Similar results were reported by American scientists who conducted a separate investigation, recruiting 185855 participants from different ethnic backgrounds. Irrespective of ethnicity, people who drank two to three cups of coffee daily had an 18% reduced risk of death.
Each of the studies, both published in the journal Annals of Internal Medicine, showed no advantage from drinking either caffeinated or decaffeinated coffee. Experts believe the antioxidant plant compounds in coffee rather than caffeine are responsible for the life-extending effect. Previous research has suggested that drinking coffee can reduce the risk of heart disease, diabetes, liver disease, and some cancers.
Dr Marc Gunter, from the International Agency for Research on Cancer, who led the European study with colleagues from Imperial College London, said: “We found that higher coffee consumption was associated with a lower risk of death from any cause and specifically for circulatory diseases and digestive diseases. Importantly, these results were similar across all of the 10 European countries, with variable coffee drinking habits and customs. Our study also offers important insights into the possible mechanisms for the beneficial health effects of coffee.”
(www.huffingtonpost.co.uk, 11.07.2017. Adaptado.)
Drinking coffee could help you live longer Coffee not only helps you feel full of beans, it might add years to your life as well, two major studies have shown. Scientists in Europe and the US have uncovered the clearest evidence yet that drinking coffee reduces the risk of death.
One study of more than half a million people from 10 European countries found that men who downed at least three cups of coffee a day were 18% less likely to die from any cause than non-coffee drinkers. Women drinking the same amount benefited less, but still experienced an 8% reduction in mortality over the period measured.
Similar results were reported by American scientists who conducted a separate investigation, recruiting 185855 participants from different ethnic backgrounds. Irrespective of ethnicity, people who drank two to three cups of coffee daily had an 18% reduced risk of death.
Each of the studies, both published in the journal Annals of Internal Medicine, showed no advantage from drinking either caffeinated or decaffeinated coffee. Experts believe the antioxidant plant compounds in coffee rather than caffeine are responsible for the life-extending effect. Previous research has suggested that drinking coffee can reduce the risk of heart disease, diabetes, liver disease, and some cancers.
Dr Marc Gunter, from the International Agency for Research on Cancer, who led the European study with colleagues from Imperial College London, said: “We found that higher coffee consumption was associated with a lower risk of death from any cause and specifically for circulatory diseases and digestive diseases. Importantly, these results were similar across all of the 10 European countries, with variable coffee drinking habits and customs. Our study also offers important insights into the possible mechanisms for the beneficial health effects of coffee.”
(www.huffingtonpost.co.uk, 11.07.2017. Adaptado.)
