问题 解答题

利用分解因式证明:257-512能被120整除.

答案

证明:257-512=(527-512

=514-512

=512×(52-1)

=512×24

=511×5×24

=511×120,

∴257-512能被120整除.

阅读理解

Some people have a very poor sense of direction. Unluckily, I am one of them. I have visited a place many times but I may still get lost there the next time.

When I was a little girl, I never dared to ask strangers the way. And so I used to walk around in circles and hope that by chance I would get to the place I was going to.

Now, I am no longer too shy to ask people for directions, but I often receive helpless or even wrong information. So I try to avoid giving people wrong directions. If anyone ever asks me the way somewhere, I would say, “Sorry, I am a stranger here.”

Once on my way to work I was stopped by a man. He asked me if I could tell him the way to the Friendship Building. I gave him my usual reply. But just as I walked on only a few steps. I realized that he had asked the way to my office building. However, I had no time to turn back and look for him. I was rushing to meet with someone at my office and I didn’t want to keep him waiting.

When I just got to my office, the secretary(秘书) showed in the man who had asked me for directions. Imagine how embarrassed I was and how surprised he was when we saw each other at the first sight.

小题1:The writer always refuses to give people directions because _____________.

A.she is a stranger to the city

B.she doesn’t know the people

C.she has no time to help others

D.she’s afraid of giving wrong direction小题2: A man stopped the writer on the way to _____________.

A.sell her something

B.ask her the time

C.make friends with her

D.ask for the direction小题3:The Friendship Building is the place where the writer ______________.

A.lives

B.studies

C.works

D.teaches小题4:The words “embarrassed” in the paragraph means “___________”.

A.尴尬

B.困惑

C.激动

D.拮据小题5:Which of the following is TRUE according to the passage?

A.The writer is too shy to give others directions.

B.The writer has a very poor sense of direction.

C.The writer never got lost when she was young.

D.The man was quite nervous when he saw the writer.

填空题