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问题 填空题
已知函数y=sinx在点(
π
3
，
3
2
)的切线与y=log2x在点A处的切线平行，则点A的横坐标是______．
答案

y'=cosx

∴函数y=sinx在点(

π
3
，
3
2
)的切线斜率为
1
2

设点A坐标为（m，log2m），在x=m处的切线斜率为

1
2

y'=

1
xln2
则y'|x=m=
1
mln2
=
1
2

∴m=2log2e

故答案为：2log2e

完形填空

In China, Mother’s Day is becoming more popular, and carnations（康乃馨）are a very popular gift. In 1997  48  was set as the day to help poor mothers, specially to remind people  49_ the poor mothers in rural areas. In the People’s Daily,  50_ article explained that “despite originating in the United States, people in China take the holiday   51   it goes in line with（符合） the country’s traditional ethics（道德标准）—respect to the elderly and filial piety（子女的孝顺）to parents.” In recent years many people began 52  advocate for the official adoption of Mother’s Day  53  memory of Meng Mu, the mother of Meng Zi, and some officials even formed a non-governmental organization called Chinese Mothers’ Festival Promotion Society, with the support 100 Confucian scholars and lecturers of ethics. They also ask to replace the Western gift of carnations with lilies（百合花),   54_, were planted by Chinese mothers  55 children left home in ancient times.
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选择题

Spielberg, _____ mother was a musical teacher, was born in 1964 in a small town in America.

A．whose

B．who

C．that

D．whom
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