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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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发布时间：2022-05-28

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

Teeth have been a part of animals almost from the beginning of animal life. The first

animals to have teeth were fish. These sea creatures lived millions of years ago. They had many finely pointed teeth for grabbing food from the water. They were distant cousins of today’s sharks.The teeth of animals help them do certain jobs or eat certain kinds of foods. Elephants have two large teeth, called tusks, which they use for digging up plants or for fighting. Lions and tigers have long, sharp teeth for tearing apart other animals. Those of horses and cows are short and flat. They are used for grinding plants.People have three main kinds of teeth. They have teeth that cut, teeth that tear, and teeth that grind. When biting into a piece of fruit, people use their cutting teeth. When pulling a piece of meat from a bone, they use their tearing teeth. When nibbling on a fresh carrot, they use their grinding teeth.Every person grows two sets of teeth. The first set often begins to appear when a baby is about six months old. It lasts until the child is about six years old. Then the baby teeth fall out and the second teeth come in. This second set must last for the rest of a person’s life.It is important for people to take care of their teeth. They must eat the right foods. They should brush their teeth properly. Teeth should be checked twice a year by a dentist.

1.Fish have many () teeth for () food.

A.noticeable, catching

B.visible, grasping

C.sharp, snatching

D.fine, catching

2.Which of the following statements about teeth is true？()

A.Elephants have three large tusks

B.Teeth of horses and cows are short and sharp

C.The first set of teeth of a person often begins to appear when he is about six years

D.Sea creatures were the first animals having teeth

3.The word “nibble” in the third paragraph bears the meaning of ().

A.eating with small repeated bits

B.showing slight interest in something

C.taking hold of with a sudden rough movement

D.crushing into small pieces or into powder

4.From this passage we can draw a conclusion that ().

A.all the teeth have the same function

B.animals don’t try to protect their teeth

C.teeth are important both for human and animals

D.we should care our teeth and often have them checked

5.It is a piece of writing about ().

A.botany

B.animals

C.popular science

D.dentistry

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第2题

He did not write to me （).

A.no more

B.any more

C.take

D.more

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第3题

Hired in 1923_______.

A.Osgood's term of employment is longer han that of any other work

B.no other employee has worked in the factory as long as Osgood

C.the factory has no employee who has worked as long as Osgood

D.Osgood has worked at the factory longer than any other employee

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第4题

请举一个生产过程的例子，其中短期指一天或一周，而长期指长于一周。Give an example of a production process in which the short run involves a day or a week and the long run any period longer than a week.

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第5题

Is this sale price______？

A、Yes, I did

B、Not any more

C、Yes, it is 50 percent off

D、Good. I’ll take it

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第6题

Compounding can take place within any of word classes. The three major classes of comp

A.adverbial compounds

B.noun compounds

C.adjective compounds

D.propositional compounds

E.verb compounds

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第7题

听力原文：The bank must consider carefully whether the loan is to be used in any illegal ac

tivity or for speculative purpose.

(4)

A．The bank must take the purpose of loan into consideration carefully.

B．The bank wonders if the loan is used for illegal or speculative purpose.

C．The bank worries that the loan is used for illegal or speculative purpose.

D．The bank must consider a way for the loan to be used for speculative purpose.

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第8题

There are many ways to invest your hard-earned savings cautiously, In fact, there are

so many ways that it all becomes a little confusing. One way through the confusion, which financial advisers recommend, is to know what you want to achieve, know how much risk you are prepared to take and go from there. But which way？ Two common answers to this question are investment funds and investment-led insurance for the long term.

The Topic: ()

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第9题

（a) You are an audit manager in Weston & Co which is an international firm of Chartere

(a) You are an audit manager in Weston & Co which is an international firm of Chartered Certified Accountants with branches in many countries and which offers a range of audit and assurance services to its clients. Your responsibilities include reviewing ethical matters which arise with audit clients, and dealing with approaches from prospective audit clients.

The management of Jones Co has invited Weston & Co to submit an audit proposal (tender document) for their consideration. Jones Co was established only two years ago, but has grown rapidly, and this will be the first year that an audit is required. In previous years a limited assurance review was performed on its financial statements by an unrelated audit firm. The company specialises in the recruitment of medical personnel and some of its start up funding was raised from a venture capital company. There are plans for the company to open branches overseas to help recruit personnel from foreign countries.

Jones Co has one full-time accountant who uses an off-the-shelf accounting package to record transactions and to prepare financial information. The company has a financial year ending 31 March 2015.

The following comment was made by Bentley Jones, the company’s founder and owner-manager, in relation to the audit proposal and potential audit fee:

‘I am looking for a firm of auditors who will give me a competitive audit fee. I am hoping that the fee will be quite low, as I am willing to pay more for services that I consider more beneficial to the business, such as strategic advice. I would like the audit fee to be linked to Jones Co’s success in expanding overseas as a result of the audit firm’s advice. Hopefully the audit will not be too disruptive and I would like it completed within four months of the year end.’

Required:

(i) Explain the specific matters to be included in the audit proposal (tender document), other than those relating to the audit fee; and (8 marks)

(ii) Assuming that Weston & Co is appointed to provide the audit service to Jones Co, discuss the issues to be considered by the audit firm in determining a fee for the audit including any ethical matters raised. (6 marks)

(b) Ordway Co is a long-standing audit client of your firm and is a listed company. Bobby Wellington has acted as audit engagement partner for seven years and understands that a new audit partner needs to be appointed to take his place. Bobby is hoping to stay in contact with the client and act as the engagement quality control reviewer in forthcoming audits of Ordway Co.

Required:

Explain the ethical threats raised by the long association of senior audit personnel with an audit client and the relevant safeguards to be applied, and discuss whether Bobby Wellington can act as engagement quality control reviewer in the future audits of Ordway Co. (6 marks)

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第10题

When it comes to walking off those excesses(过剩) , a lengthy hike once a day will do you far more good than nipping down to (一溜烟跑) the shops every couple of hours even if the short walks add up to the

same amount of time, say exercise researchers in Britain. But walks of any length beat sitting at home with your feet up and watching television. They stress. Some researchers in Britain reached these conclusions after putting 56 couch potatoes through an 18 week course of daily walks. They found that longer walks produce the most beneficial changes to the composition of blood fats, but walks of any length improve the fitness of the heart.

In the study, the normally inactive subjects were divided into three roughly equal groups. The "long walker" took a hike of between 20 and 40 minutes every day. "Intermediate walkers" had two rounds of jogging of 10 to 15 minutes, and "short walkers" did three stints of 90 to 110 minutes. The controls sat at home, as usual.

At the start and end of the 18 weeks, the health and fitness of each group were measured and it was found that the long walkers were healthiest, as measured by altered fat profiles in their blood. At the end, each liter of blood from the long walkers contained an average 0.05 grains less apolipoprotein(阿朴脂蛋白) II, a "bad" fat that is linked with heart disease. This was more than twice the drop seen in the intermediate walkers, and five times that in short walkers. In the controls, the level of this fat stayed the same. The drop in apolipoprotein II in the long walker was matched by a rise in the blood level of apolipoprotein I, a "good" fat that is associated with smooth arteries.

1、According to the researchers, ______ is least beneficial to your health.

A、taking a lengthy hike once a day

B、going shopping several times every day

C、doing jogging every morning

D、sitting in the sofa watching TV every evening

2、"Couch potato" in paragraph 2 is used to refer to a kind of ______.

A、farmers

B、vegetables

C、movie-goers

D、TV viewers

3、Which of the following statement is FALSE？()

A、Longer walks benefit our composition of blood fats

B、The subjects in the study all often watch TV

C、Only longer walks benefit our health

D、The subjects in the study may not like exercises

4、The subjects are divided into ______ groups.

A、four

B、three

C、two

D、one

5、Why is long walk beneficial to our heart？()

A、It leads to the drop in apolipoprotein I

B、It leads to the drop in apolipoprotein II

C、It keeps us from watching TV

D、It helps us lose weight

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