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问题 解答题
在△ABC中，角A，B，C的对边分别为a，b，c，且cosA=
1
4
，a=4，b+c=6，且b＜c，求b，c的值．
答案

∵cosA=

1
4
，a=4，

∴由余弦定理a2=b2+c2-2bccosA，

得16=b2+c2-

1
2
bc=（b+c）2-
5
2
bc

∵b+c=6，∴36-

5
2
bc=16，解得bc=8．

即b（6-b）=8，解之得b=2或4

结合b＜c，得b=2，c=4．

问答题

　　For years, many Asian-Americans have been convinced that it’s harder for them to gain admission to the nation’s top colleges. Studies show that Asian-Americans meet these colleges’ admissions standards far out of proportion to their 6 percent representation in the U.S. population, and that they often need test scores hundreds of points higher than applicants from other ethnic groups to have an equal chance of admission. Critics say these numbers, along with the fact that some top colleges with race-blind admissions have double the Asian percentage of Ivy League schools, prove the existence of discrimination. 　　The way it works, the critics believe, is that Asian-Americans are evaluated not as individuals, but against the thousands of other ultra-achieving Asians who are stereotyped as boring academic robots. 　　Of course, not all Asian-Americans fit this stereotype. They are not always obedient hard workers who get top marks. Their economic status, ancestral countries and customs vary. But compared with American society in general, Asian-Americans have developed a much per emphasis on intense academic preparation as a path to a handful of the very best schools.

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翻译题

根据中文，完成句子（每小题1分，共5分）

1.以前张华害怕晚上独自出门。

In the past, Zhang Hua ____________________________________________ at night .

2．我们盼望尽快收到你的来信。

We ___________________________________________________________ soon .

3．他们的校服与我们的大不一样。

Their school uniforms ________________________________________________ .

4．在公交车上给老人让座是礼貌的。

It’s polite to _______________________________________ on the bus.

5．安迪很有幽默感，他有很多朋友。

Andy ____________________________________________ and he has many friends.
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