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Take any long piece of paper. Now glue(粘)the ends of the paper together. You have mad

e a ring.

Take a second long piece of paper. Twist the paper once and glue the ends together. Now you have made a Mobius band(带子). For people studying maths, this band is uncommon.

This strange band was first made in the 1800s by a German man namedAugust. Mobius. Mr. Mobius studied maths. He wanted to find a way to show how this band works with maths. Understand it or not, this band has only one surface. You can find this out for yourself.

If you draw a line on the surface of the paper before you twist and glue it, the line is only on one side of the paper. The paper has two surfaces. However, if you draw a line after you make the Mobius band, you can follow the line around all sides of the paper. In other words, the Mobius band must have only one surface.

It is also very interesting to see what happens when you cut the band. If you cut the Mobius band in half once down the line you drew, you do not get two Mobius bands. Instead, after you cut the band, it turns into one large twisted ring. Then, if you cut this ring in half along the middle of the band again, you get two connected(相连的)Mobius bands.

1、What is a Mobius band?()

A、A long piece of paper

B、A paper ring for people to wear

C、A metal ring for music

D、An interesting twisted ring

2、Why didAugust Mobius make this ring?()

A、To help study a maths problem

B、To show it's the same as others

C、To show the only surface of any band

D、To find out how many sides it has

3、How can you change the two surfaces of a long piece of paper into one surface?()

A、Glue the ends of the long piece of paper

B、Cut the two surfaces of the paper into one

C、Draw a line in the middle of the paper

D、Twist the paper once and glue the two ends

4、What do you get if you cut the Mobius band along the middle?()

A、A long piece of paper

B、Two long pieces of paper

C、Two Mobius bands

D、One large twisted ring

5、Which of the following is NOT true?()

A、You can use any long piece of paper to make a Mobius band

B、Any long piece of paper has two surfaces

C、The Mobius band was first made about two hundred years ago

D、You have to draw a line in the middle of the long piece of paper before making a Mobius band

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更多“Take any long piece of paper. Now glue(粘)the ends of the paper together. You have mad”相关的问题

第1题

There's nothing at all on this piece of paper. It's completely blank.A.emptyB.unoccupiedC.

There's nothing at all on this piece of paper. It's completely blank.

A.empty

B.unoccupied

C.white

D.free

点击查看答案

第2题

Please give her ______ paper.A、oneB、a pieceC、aD、a piece of

Please give her ______ paper.

A、one

B、a piece

C、a

D、a piece of

点击查看答案

第3题

What was burnt?A.The piece of paper.B.Mr. Smith.C.The visitor.D.The boy.

What was burnt?

A.The piece of paper.

B.Mr. Smith.

C.The visitor.

D.The boy.

点击查看答案

第4题

He noted () her address on a piece of paper.

A.A.down

B.B.on

C.C.up

D.D.in

点击查看答案

第5题

What was burnt?A. The piece of paper.B. Mr. Smith.C. The visitor. D. The boy.

What was burnt?

A. The piece of paper.

B. Mr. Smith.

C. The visitor.

D. The boy.

点击查看答案

第6题

It was Monday, Mrs. Smith's dog was hungry, but there was not any meat in the house.Consid

It was Monday, Mrs. Smith's dog was hungry, but there was not any meat in the house.

Considering that there was no better way, Mrs. Smith took a piece of paper, and wrote the following words on it, "Give my dog half a pound of meat." Then she gave the paper to her dog and said gently, "Take this to the butcher (卖肉者) , and he's going to give you your lunch today."

Holding the piece of paper in its mouth, the dog ran to the butcher's shop. It gave the paper to the butcher. The butcher read it carefully, recognized that it was really the lady's handwriting and presently did as he was asked to. The dog was very happy, and ate the meat up immediately.

At midday (正午), the dog came to the shop again. It gave the butcher a piece of paper again. After reading it, he gave it half a pound of meat once more.

The next day, the dog came again exactly at midday. And as usual it brought a piece of paper in. the mouth. This time, the butcher did not take a look at the paper, and gave the dog its meat, for he had regarded the dog as one of his customers.

But, the dog came again at four o'clock. And the same thing happened once again. To the butcher's more surprise, it came for the third time at six o'clock, and brought with it a third piece of paper. The butcher felt a bit puzzled. He said to himself, "This is a small dog. Why does Mrs. Smith give it so much meat to eat today?"

Looking at the piece' of paper, he found that there were not any words on it!

Mrs. Smith treated her little dog quite ______.

A.cruelly

B.kindly

C.badly

D.unfairly

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