问题 选择题
若把一个函数的图象按
a
=(-
π
3
,-2)平移后得到函数y=cosx的图象,则原图象的函数解析式为(  )
A.y=cos(x+
π
3
)+2
B.y=cos(x-
π
3
)-2
C.y=cos(x+
π
3
)-2
D.y=cos(x-
π
3
)+2
答案

a
=(-
π
3
,-2)∴-
a
=(
π
3
,2)

将函数y=cosx按向量-

a
=(
π
3
,2)进行平移得到 y=cos(x-
π
3
)+2
即是函数y=f(x)的解析式.

故选D.

完形填空

阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。

When I entered Berkeley, I hoped to earn a scholarship. Having been a Straight-A student, I believed I could __36__ tough subjects and really learn something. One such course was World Literature given by Professor Jayne. I was extremely interested in the ideas he 37 in class.

When I took the first exam, I was 38 to find a 77, C-plus, on my test paper,   39  English was my best subject. I went to Professor Jayne, who listened to my arguments but remained_ 40  .

I decided to try harder, although I didn’t know what that  41 because school had always been easy for me. I read the books more carefully, but got another 77. Again, I   42 with Professor Jayne. Again, he listened patiently but wouldn’t change his 43    .

One more test before the final exam. One more  44 to improve my grade. So I redoubled my efforts and, for the first time.   45  The meaning of the word “thorough”. But my  46__    did no good and everything  47  as before.

The last hurdle(障碍) was the final. No matter what   48  I got, it wouldn’t cancel three C-pluses. I might as well kiss the   49  goodbye.

I stopped working head. I felt I knew the course material as well as I ever would. The night before the final, I even  50 myself to a movie. The next day I decided for once I’d have  51__with a test.

A week later, I was surprised to find I got an A. I hurried into professor Jayne’s office. He  52__ to be expecting me. “If I gave you the As you  53 , you wouldn’t continue to work as hard.”

I stared at him.  54 That his analysis and strategy(策略) were correct. I had worked my head   55 , as I had never done before.

I was speechless when my course grade arrived: A-plus. It was the only A-plus given. The next year I received my scholarship. I’ve always remembered Professor Jayne’s lesson: you alone must set your own standard of excellence.

36.  A. take        B. discuss      C. cover         D. get

37.  A. sought      B. presented    C. exchanged     D. obtained

38.  A. shocked     B. worried      C. scared        D. anxious

39.  A. but         B. so          C. for           D. or

40.  A. unchanged   B. unpleasant   C. unfriendly     D. unmoved

41.  A. reflected     B. meant       C. improved     D. affected

42.  A. quarreled    B. reasoned     C. bargained     D. chatted

43.  A. attitude      B. mind        C. plan         D. view

44.  A. choice       B. step         C. chance       D. measure

45.  A. memorized    B. considered   C. accepted      D. learned

46.  A. ambition      B. confidence   C. effort         D. method

47.  A. stayed        B. went        C. worked       D. changed

48.  A. grade         B. answer      C. lesson        D. comment

49.  A. scholarship     B. course      C. degree       D. subject

50.  A. helped         B. favored     C. treated       D. relaxed

51.  A. fun            B. luck      C. problems      D. tricks.

52.  A. happened       B. proved     C. pretended     D. seemed

53.  A. valued         B. imagined    C. expected     D. welcomed

54.  A. remembering    B. guessing    C. supposing    D. realizing

55.  A. out            B. over       C. on           D. off

单项选择题