问题 解答题

我国明代数学家程大为曾提出过这样一个有趣的问题:有一个人赶着一群羊在前面走,另一个人牵着一只羊跟在后面.后面的人问赶羊的人说:“你这群羊有一百只吗?”赶羊的人回答:“我如果再得这么一群羊,再得这么一群羊的一半,又得这群羊的四分之一,把你牵的羊也给我,我恰好有一百只.”请问这群羊有多少只?请设未知数,列出方程.

答案

设这群羊有x只,根据题意得:

x+x+

1
2
x+
1
4
x+1=100.

阅读理解

The morning had been a disaster. My tooth was aching, and I’d been in an argument with a friend. Her words still hurt: “The trouble with you is that you won’t put yourself in my place. Can’t you see things from my point of view?” I shook my head stubbornly(固执地)and felt the ache in my tooth. I’d thought I could hold out till my dentist came back from holiday, but the pain was really unbearable. I started calling the dentists in the phone book, but no one could see me immediately. Finally, at about lunchtime, I got lucky.

“If you come by right now,” the receptionist said, “the dentist will fit you in.”

I took my purse and keys and rushed to my car. But suddenly I began to doubt about the dentist. What kind of dentist would be so eager to treat someone at such short notice? Why wasn’t he as busy as the others?

In the dentist’s office, I sat down and looked around. I saw nothing but the bare walls and I became even more worried. The assistant noticed my nervousness and placed her warm hand over my ice-cold one.

When I told her my fears, she laughed and said, “Don’t worry. The dentist is very good.”

“How long do I have to wait for him?” I asked impatiently.

“Come on, he is coming. Just lie down and relax. And enjoy the artwork,” the assistant said.

“The artwork?” I was puzzled.

The chair went back. Suddenly I smiled. There was a beautiful picture, right where I could enjoy it: on the ceiling. How considerate the dentist was! At that moment, I began to understand what my friend meant by her words.

What a relief!

小题1:Which of the following best describes the author’s feeling that morning?

A.Upset.

B.Nervous.

C.Satisfied.

D.Cheerful.小题2:What made the author begin to doubt about the dentist?

A.The laughing assistant of the dentist.

B.The dentist’s being as busy as the other dentists.

C.The surroundings of the dentist’s office.

D.The dentist’s agreeing to treat her at very short notice.小题3:What did the author learn from her experience most probably?

A.Strike while the iron is hot.

B.Put oneself in others’ shoes.

C.Have a good word for one’s friend.

D.A friend in need is a friend indeed.

选择题