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山东大学英语二模拟题三套试题汇总分析解析

山东大学英语二模拟题三套试题汇总分析解析
山东大学英语二模拟题三套试题汇总分析解析

英语二模拟题I. Vocabulary and Structure

There are 30 questions in this part. For each question there are 4 choices marked A, B, C, and D. Choose the One that best answers the question.

【C】1. True love cannot be , and it is priceless.

A. brought

B. caught

C. bought

D. broad

【D】2. Finally the crowd broke (up) _ ____ several groups.

A. within

B. in

C. at

D. into

【A】3. Being afraid of the dark, she always slept the light on.

A. with

B. by

C. beside

D. of

【C】4. John is not whether Eddie likes the picture of him and his family.

A. ensure

B. assure

C. sure

D. surely

【A】5. When he got the train, he didn’t know where he was.

A. on

B. up

C. off

D. at

【A】6. She went into the street and a taxi home.

A. took

B. taking

C. taken

D. had taken

【C】7. Why should we find some to the problems brought by TV?

A. means

B. way

C. solution

D. method

【B】8. This region at an average of 4,000 meters above sea level.

A. lays

B. lies

C. locates

D. places

【C】9. I was ___ _ _ to find his article on such an ___ _ _ topic so ___ __ .

A. surprised, excited, bored

B. surprising, exciting, boring

C. surprised, exciting, boring

D. surprising, excited, bored

【B】10. He ___ __ his book on the desk last night.

A. lie

B. laid

C. lay

D. lain

【B】11. Although they are brothers, they are entirely __ __ each other .

A. get along well with

B. different from

C. satisfied with

D. ashamed of

【C】12. Hardly __ __ the classroom when the class began.

A. he had entered

B. he entered

C. had he entered

D. he was entered

【D】13. Come here and give me a ___ ___.

A. help

B. hands

C. support

D. hand

【B】14. This post card is sent by _ ___.

A. a friend of father

B. a friend of my father's

C. my father friend

D. my father friend's

【A】15. It’s foolish to your time.

A. waste

B. leave over

C. spend

D. damage

【C】16. With a school record like a young woman, why didn’t you try for a university scholarship?

A. I’m shocked

B. I’m amazed

C. I’m puzzled

D. I feel pity

【B】17. Many companies are going because of high interest rates.

A. bankrupt

B. bankruptcy

C. to a bank

D. to banking

【D】18. It is only a of time before the rebels surrender.

A. problem

B. means

C. thing

D. matter

【C】19. An important quality of a mystery shopper is that he should be good observation.

A. at

B. in

C. for

D. to

【C】20. we’d arrived there we had a wonderful time.

A. only

B. once

C. one time

D. one more

【C】21. For him, it would be a to be able to have a day off work.

A. importance

B. matter

C. good

D. luxury

【A】22. …a mystery shopper will typically work several stores…, taking mental notes while inside, ….

A. things to be remembered

B. things concerning the mind

C. things fixed in the mind

D. things done in the mind

【B】23. If a secret shopper will be sent in, …, the candidate must have a particular profile that meets a high-end, luxury car-type buyer profile.

A. different from others

B. worthy of note or unusual

C. full of details

D. hard to please

【D】24. Jack and Smith the work equally between them.

A. shake

B. shade

C. shed

D. share

【C】25. The train arrived one hour behind __ ___.

A. plan

B. timetable

C. schedule

D. date

【A】26. How we __ ___ a chance to visit your country!

A. longed for

B. looked for

C. waited for

D. went for

【D】27. That was __ ____ minority nationalities were treated in old China.

A. what

B. which

C. that

D. the way

【A】28. It is necessary that he _____ _ for Beijing right now.

A. leave

B. leaves

C. will leave

D. left

【C】29. What chance does a ___ ___ man who never finished high school have?

A. forty-years-old

B. forty-years-olds

C. forty-year-old

D. forty-year-olds

【C】30. Marriage on true love often brings happiness.

A. decided

B. determined

C. based

D. relied

I. Vocabulary and Structure

There are 30 questions in this part. For each question there are 4 choices marked A, B, C, and D. Choose the One that best answers the question.

【A】1. In arranging their marriage, a couple should not consider anything love.

A. except

B. beside

C. besides

D. accept

【C】2. The time is ___ ___ for great societal changes.

A. live

B. rival

C. ripe

D. rise

【C】3. Jack said hello to John’s parents and thanked them their kindness.

A. from

B. with

C. for

D. by

【B】4. With the Spring Festival __ ___, the stores are crowded with people.

A. at the corner

B. round the corner

C. in the corner

D. on the corner

【D】5. How is your work getting ?

A. up

B. with

C. down

D. along

【C】6. Would you mind taking of my home for me while I’m away?

A. advantage

B. charge

C. care

D. hole

【D】7. Television did not become very common the early 1960s.

A. unless

B. up to

C. onto

D. until

【D】8. When giving the orders, the captain stress on emergency of the work.

A. give

B. get

C. lay

D. laid

【B】9. It was in 2001 __ ___ my elder brother went to college.

A. when

B. that

C. in which

D. which

【B】10. _ ____ is known to everybody that the moon travels round the earth once every month.

A. It

B. As

C. That

D. What

【C】11. There are about fifteen hundred languages in the world. But only __ __ of them are very important.

A. a few

B. a little

C. few

D. little

【C】12. I don’t agree to ____ he said.

A. that

B. which C .what D. how

【B】13. Do you think the tall hat __ __ the little man?

A. does some good for

B. did any good for

C. does some good to

D. did any good to

【B】14. It was ____ __ late to save the drowning boy as he had gone down for the third time.

A. so

B. too

C. such

D. much

【B】15. He was when he heard the bad news.

A. in high spirits

B. depressed

C. having a good time

D. cheerful

【D】16. It has been that the food people eat affects their health.

A. proving

B. prove

C. proves

D. proved

【D】17. He had to learn to go drinking while he was in Saudi Arabia.

A. out with

B. out of

C. with

D. without

【A】18. You’ll have to work harder to with the top students in your class.

A. catch up

B. hold up

C. go up

D. get up

【C】19. Companies often mystery shoppers to inspect their service.

A. rent

B. employ

C. hire

D. take

【A】20. We always aim to give our attention to our clients.

A. personal

B. single

C. only

D. once

【B】21. We searched for the missing papers and finally them in a drawer.

A. sought

B. discovered

C. looked at

D. looked for

【A】22. Nowadays mystery shoppers are armed with a number of high-tech devices…for recording the entire experience.

A. all of the events occurring

B. things seen and lived through

C. the act of doing and observing

D. knowledge gained by doing and observing

【B】23. Why is it difficult for the world to talk clones and to reach an agreement?

A. over

B. about

C. with

D. beyond

【B】24. We had a lesson in children education yesterday.

A. deep

B. profound

C. deeply

D. steep

【C】25. _ ____ many difficulties, they still went on with their experiment.

A. Face

B. Faced

C. Facing with

D. Faced with

【A】26. Rain does not __ ___ bring down the temperature.

A.necessarily

B. certainly

C. undoubtedly

D. Completely

【C】27.To my __ ____, this guy is a good-for-nothing.

A. heart

B. mind

C. thought

D. thinking

【C】28. It is ____ ___ to run into danger for nothing.

A. childlike

B. childhood

C. childish

D. childishly

【C】29. If we believe something is good and true we should ___ ___ to it.

A. hold up

B. keep on

C. hold on

D. keep up

【B】30. They do not allow ____ __ in this classroom.

A.smoking

B. to smoke

C. smoked

D. being smoked

I. Vocabulary and Structure

There are 30 questions in this part. For each question there are 4 choices marked A, B, C, and D. Choose the One that best answers the question.

【D】1. Marriage on true love often brings happiness.

A. decided

B. determined

C. based

D. relied

【C】2. The ________ scheme is destined to fail from the very beginning.

A. foolish

B. fool

C. fooled

D. folly

【D】3. the Christmas season, all the people are very happy.

A. With

B. For

C. To

D. In

【D】4. Have you got ___ ___ for the coming examination?

A. easy

B. busy

C. lazy

D. ready

【C】5. What is the name of Britain?

A. officious

B. offices

C. official

D. office

【B】6. Did you take in the fighting yesterday?

A. the part

B. part

C. parts

D. /

【C】7. All the parents worry about the of TV on their children.

A. defect

B. result

C. effect

D. affect

【C】8. We are fully prepared __ ___ more hard work.

A. on

B. in

C. for

D. \

【B】9. The noise __ ___ me from sleep just now.

A. arouses

B. aroused

C. arise

D. raise

【B】10. Soon he is inside the ___ _ building where his company has offices.

A. sixty story

B. sixty-story

C. sixty stories

D. sixty-stories

【B】11. You should be out playing __ __ working indoors.

A. instead

B. instead of

C. but

D. nothing but

【A】12. When she opened the door, she found a boy ___ _ in the snow, weeping.

A. lying

B. laying

C. lie

D. lay

【B】13. You mustn’t blame me ____ that; it wasn't my fault.

A. of

B. for

C. to

D. in

【B】14. his old age, he still went to his office on foot every day.

A. Because of

B. In spite of

C. Though

D. Despite of

【A】15. He is very with his money.

A. careless

B. worried

C. free

D. thoughtless

【A】16. You are supposed to carelessness, for it often leads to errors.

A. get rid of

B. get the rid of

C. get ride over

D. get ridden

【A】17. How do English people use ?

A. a knife and fork

B. knife and fork

C. the knife and fork

D. knife and forks

【C】18. He seemed to feel the of some explanation.

A. essential

B. wish

C. necessity

D. necessary

【D】19. Sometimes it’s important for a mystery shopper to have the right .

A. program

B. profile

C. progress

D. process

【C】20. If you order the tickets by phone, you have to pay a $2 charge as well as $13.50 for each ticket.

A. serving

B. serve

C. service

D. serves

【C】21. The scientist played an important part in developing his country’s nuclear power .

A. process

B. profile

C. program

D. progress

【B】22. It’s a challenging job but a rewarding one.

A. easy and quick

B. light and profitable

C. useful or beneficial

D. hard or slow

【C】23. People are rather about the appearance of clones.

A. doubt

B. doubted

C. doubtful

D. doubting

【D】24. The essays by foreign students are well-written ___ ___ some spelling mistakes?

A. beside

B. besides

C. except

D. except for

【A】25. It is the boy’s laziness that __ ___ his failure in the exams….

A. resulted in

B. resulted from

C. brought in

D. led into

【C】26. Be sure to __ ___ your work at the end of exam.

A. set aside

B. hang up

C. look over

D. catch sight of

【B】27. Scientists didn’t know much about lung cancer __ ____.

A. before long

B. long before

C. until recently

D. very soon

【D】28. The manager said the plan was terrible and had ___ ___ chance of success.

A. a few

B. few

C. a little

D. little

【B】29. I had no sooner closed the door __ ____ somebody started knocking on it.

A. as

B. than

C. before

D. when

【C】30. True love cannot be , and it is priceless.

A.brought

B. caught

C. bought

D. Broad

II. Cloze

There are 2 passages in the part. In each passage there are 10 blanks. For each blank are provided 4 answers. Choose the one that best completes the passage.

Television 31 its first serious appearance in 1939, but it did not become common until the early 1950’s. Since then, innumerable children 32 in front of the set. However, many people now worry about the effect of TV on the young. They wonder there had never been..........................................................

31. A. brought B. took C. did D. made

32. A. grew up B. are growing up C. have grown up D. grow up

33. A. such B. so an C. such an D. so

34. A. got B. took C. carried D. brought

35. A. of B. on C. to D. for

36. A. experiences B. experience C. experiencingD. an experience

37. A. integrate B. make C. initiate D. initiate

38. A. screens B. faces C. surfaces D. appearances

39. A. dead B. deaths C. deads D. death

40. A. Come with B. With along C. Upon with D. Along with 答案:[31-35 DCCDC] [36 A 37C 38-40 ADD]

Cars are an important part of life in the United States. 41 most people feel that they are poor. And even if a person is poor he doesn’t feel really poor 42 he has a car.

There are three main reasons the car became so popular in the United States. 43 of ...........................

41. A. Without a car B. Not with a car C. Without no car D. With not a car

42. A. although B. when C. whether D. but

43. A. First B. Firstly C. At first D. The first

44. A. cheap B. most cheap C. cheapest D. cheaper

45. A. which B. that C. where D. what

46. A. movement B. carriage C. shipping D. transportation

47. A. providing B. to provide C. provided D. provides

48. A. that B. what C. how D. which

49. A. follow B. further C. chase D. run

50. A. best B. most C. worst D. least

答案:41-45 : ABACB 46-50:DCBAB

Cars are an important 31 of life in the United States. Without a car most people feel that they are poor. And 32 if a person is poor he doesn’t feel really poor when he has a car.

There are three main reasons the car became so 33 in the United States. First of all the country is a huge one and Americans like to move 34 in it. The car provides the most comfortable and cheapest form of transportation. 35 a car people can go any place without spending a lot of money.........................

31. A. role B. part C. effect D. basis

32. A. ever B. still C. even D. quite

33. A. qualified B. increasing C. developing D. popular

34. A. around B. on C. along D. forth

35. A. Through B. Since C. With D. As

36. A. an interested B. an affected C. an efficient D. a satisfied

37. A. quite B. very C. too D. as

38. A. very B. so C. too D. as

39. A. for B. on C. beside D. about

40. A. their own B. theirs own C. their D. Theirs

Nowadays more and more people are concerned about their health. But how to keep healthy? Different people may give different answers 41 this question. In my opinion, it is essential to do the following. First, it is absolutely necessary to take 42 exercise every day. Research shows that getting plenty of exercise makes the heart beat faster and the lungs work harder. This 43 the ....................................

41. A. of B. at C. for D. to

42. A. any B. some C. many D. lots

43. A. strengthen B. strengths C. strength D. strengthens

44. A. low B. slower C. lower D. slow

45. A. much B. lots C. many D. great

46. A. while B. but C. yet D. during

47. A. bring in for B. take in for C. come in for D. go in for

48. A. advise B. advice C. devise D. device

49. A. for B. like C. to D. at

50. A. fits B. fit C. fitful D. Fitfully

41-45 DBDCC 46-50 ADCBB

Nowadays more and more people are concerned 31 their health. But how to keep healthy? Different people may give different answers to this question. In my opinion, it is essential to do 32 .

First, it is absolutely necessary to take some exercise every day. Research shows that getting 33 of exercise makes the heart beat faster and the lungs work harder. This strengthens the .........................................

31. A. over B. of C. about D. for

32. A. the following B. a following C. that follows D. as follows

33. A. plenty B. a plenty C. the plenty D. plenties

34. A. attack B. struggle C. hit D. strike

35. A. reason B. why C. whys D. reasons

36. A. grasp B. take C. hold D. carry

37. A. on B. up C. down D. to

38. A. / B. this C. what D. that

39. A. on B. down C. up D. over

40. A. Unfortunate B. Fortunately C. Fortunate D. Unfortunately

31--35 CAAAB 36-40 BCCCD

Correctly, no one should start eating until everyone has been served. 41 , if some people are served before others, the unserved should turn to the served, and say “Don’t wait; please start.” The served do 42 , but pick slowly at their food so that the others will be able to catch up.

The set of silverware 43 you at a classy dinner can be formidable, but the rule is simple: use it from the outside in. That is, you use the outside spoon 44 your soup, the middle one for dessert, and the inner one for your coffee.................................................

41. A. However B. Somehow C. In spite of D. Whereas

42. A. such B. so C. it D. /

43. A. faced B. facing C. faces D. face

44. A. with B. at C. of D. for

45. A. have B. get C. grasp D. hold

46. A. grasp B. take C. make D. do

47. A. the B. a C. bad D. some

48. A. finish B. finishes C. finishing D. finished

49. A. Any B. Some C. The D. A

50. A. never B. ever C. evenly D. Even

41--45 ABBDD 46--50 CCDDD

IV. Translate the following sentences into Chinese.

61.He answered me, but he spoke neither slowly nor clearly.

他回答了我,但他说得又快又不清楚。

62.With the Mid-autumn Festival round the corner, she is getting more and more homesick.

随着中秋节的临近,她变得越来越想家了

63. Hong Kong is one of the world’s most important financial centers and it is also an important port city.

香港是世界上最重要的金融中心之一,它也是一个重要的港口城市。

IV. Translate the following sentences into Chinese.

61.A friend to every body is a friend to nobody.

对每个人来说是朋友的人不是每个人的朋友。

62.In hot days, these swimming pools are jammed with people.

在炎热的天里,这些游泳池里挤满了人。

63.The total area of China is about 9,600,000 square kilometers.

中国的总面积大约是9,600,000平方公里。

IV. Translate the following sentences into Chinese.

61.The little hero prefers to die rather than surrender.

那个小英雄宁愿死也不投降

62.The mystery was solved when the police discovered the murder weapon.

当警察发现谋杀凶器时,迷团被解开了

63.We never know the value of water till the well is dry.

直到井水干了我们才知道水的价值。

V. Translate the following sentences into English.

64.这篇新闻报导是完全根据实际情况写成的。(be based on)

This news report is written totally based on the actual circumstance

65.非常感谢你把自行车借给我。(thank for)

I thank you for your lending the bike to me very much.

66.我通常每三个月回老家一次去看望父母。(as a rule)

As a rule, I usually go back to my hometown to see my parent every three months

V. Translate the following sentences into English.

64.他们命中注定永不再相逢。(be destined to)

They are destined never to meet.

65.我们永远不会忘记在农村度过的那个暑假。(forget)

We will never forget the summer we have spent in the country.

66.在中学,我们学了英语、数学、语文和其他一些课程。(and some other)

In the middle school, we have learnt English, Maths, Chinese and some other. V. Translate the following sentences into English.

64.办公室已把打字机换成了电脑。(switch…to)

The office has switched the typewriter to the computer.

65.她将去纽约,或者确切地讲,她将乘飞机去纽约。(or rather)

She will go to New York, or rather, she will go to New York by air. 66.他开始明白为什么计划失败了。(set out)

He sets out the reason why the plan has failed.

VI. Writing

Directions: For this section, you are allowed 20 minutes to write a short composition on the topic MY HOMETOWN. You should write your composition in about 80 words, and base it on the points suggested (given in Chinese) below.

(1)你喜欢你的家乡吗?

(2)你(不)喜欢她什么?

(3)你准备为她做些什么?

My Hometown

My hometown is beautiful place It stands near a wide river at the foot of low green hills. It has many tall buildings and wide streets. There are trees and flowers everywhere.

But it has not always been like that. In the old days, it was a sad dirty little town. Landlords and merchants lived in the few good houses. For the working people there were only dark, unhealthy rooms in old buildings and huts in narrow muddy streets. Nearly everyone was poor and many had no work.

Everything has changed since liberation. The people, led by the Party, have got rid of the mud and dirt. They have put up schools, theaters, shops and flats. They have an assembly hall and a hospital. Along the river they have built offices, hotels and parks. A lot of factories have sprung up. On the river, streamers and boats come and go busily, day and night. They carry the products of our industries to all parts of the country.

I love my hometown, and I love its people. They also have changed. Healthy and happy, they are going all out to build socialism.

VI. Writing

Directions: For this section, you are allowed 20 minutes to write a short composition on the topic TRAVEL. You should write your composition in about 80 words, and base it on the points suggested (given in Chinese) below.

(1)你喜欢旅行么?为什么?

(2)你喜欢以什么方式旅行?为什么?

Travel

I like travel very much. A succession of beautiful scenery makes one feel delighted.

A long stay in the same surroundings to make everything the same. Routine work often makes one feel bored But if you take a trip or a long journey on your holidays to some scenic spots or historic sites, that will make great difference.

Travel can widen one's knowledge. The farther you go, the more you will learn about different politics, economics, customs as well as geography. If you travel the whole world some day, you will fully understand the globe on which we live.

I like to travel by air because air travel has two advantages. First, it can save much time. We can fly from Beijing to Guangzhou just in two hours, but by train, we have to spend 24 hours or more. Second, air travel is more comfortable, because the plane flies so smoothly that we can rest well during the trip

VI. Writing

Directions: For this section, you are allowed 20 minutes to write a short composition on the topic SELF-STUDY. You should write your composition in about 80 words, and base it on the points suggested (given in Chinese) below.

(1)你认为自学难还是不难?

(2)说出你的理由。

VI.Self-study

Self-study brings success. Though we students have teachers to help us, still we should pay due attention to self-study. However, I think, it is very difficult to study ourselves. There are some reasons. Firstly, there is no teachers to help us, so you must think by ourselves. When we learn something new and important, we need to look up in some books. If we still have some question which the reference books can’t afford the correct and clear answers, we really want to ask someone else who may can give helps. Secondly, if we can not solve the problem by ourselves during our self-study, it is a waste of time keeping thinking by ourselves. Thirdly, we may learn in a wrong way that we can realize when we learn by ourselves. So in my opinion, it is a very hard job to study by ourselves.

III Passage 1

In the old days, divers used to go down into the sea looking for ships that had sunk, because they hoped to find gold and jewels. Now divers still search for valuable things in sunken ships, but they also try to bring to the surface the ships themselves, or parts of them. The value of different kinds of metals has increased greatly over the last twenty or thirty years and even though a ship has been under the sea for many years, it may be worth a great deal.

51. Divers try to bring up metals because some kinds of them are worth a lot of money.

52. Now divers still search for valuable things and try to bring to the earth surface the ships themselves.

53. John Light hopes he may be able to sell the whole ship of “Lusitania” for more than $1.5 million.

54. The ship “Lusitania” sank off the southwestern coast of Ireland with a lot of people drowned.

55. In the past, divers hoped to bring up everything of a sunken ship except metals.

[TTFFF]

Passage 2

More and more people today are realizing the importance of regular physical exercise. In the past, work for most people involved manual labor in the fresh open air of the fields. However, nowadays an increasing number of people are employed in offices or factories. Their daily work does not provide them with the amount of exercise their bodies need. Therefore, they have come to spend part of their free time doing regular physical exercise.

56. Nowadays, more people realize the importance of physical exercise.

57. It is unnecessary to take some exercise every day.

58. People who enjoy competitive sports may take up basketball or football.

59. Physical exercise can do more harm than good to people because they will feel tired after it.

60.People can always find one or more sports that benefit their health, work and study.

[TFTFT]

Passage 1

First of all, watching TV is a good relaxation. After a day of hard work, we look forward to a good relaxation. Watching TV can meet our requirements by easing our minds and comforting our physical bodies because the pleasant music and pictures can keep us away from tension and fatigue.

a word, TV has great infl uence on people’s life, work and study.

51. The writer of the passage thinks watching TV can do us good.

52. Our life is full of joy because of TV.

53. Only very few audience can be benefited from watching TV.

54. Students cannot learn any subjects at home.

55. TV is a means of entertainment; thus it cannot provide any education for us.

TTFFF

Passage 2

In the old days, divers used to go down into the sea looking for ships that had sunk, because they hoped to find gold and jewels. Now divers still search for valuable things in sunken ships, but they also try to bring to the surface the ships themselves, or parts of them. The value of different kinds of metals has increased greatly over the last twenty or thirty years and even though a ship has been under the sea for many years, it may be worth a great deal.

56. Divers try to bring up metals because some kinds of them are worth a lot of money.

57. Now divers still search for valuable things and try to bring to the earth surface the ships themselves.

58. John Light hopes he may be able to sell the whole ship of “Lusitania” for more than $1.5 million.

59. The ship “Lusitania” sank off the southwestern coast of Ireland with a lot of people drowned.

60. In the past, divers hoped to bring up everything of a sunken ship except metals.

TTFFF

Passage 1

AIDS, fifty years ago, didn’t exist. Fifteen years ago a few doctors and public health officials noticed the first cases. Within a few years it was clear that it has now killed almost 14 million people around the world.

51. AIDS didn’t exist fifteen years ago.

52. Scientists have found a vaccine which can prevent HIV infection.

53. Although some treatment works for some patients with HIV, there is still no cure.

54. HIV is a changeable virus so that it is very difficult to produce effective vaccine.

55. We have wasted billions of dollars on AIDS research.

TFTTF

Passage 2

Let children learn to judge their own work. A child learning to talk does not learn by being corrected all the time: if corrected too much, he will stop talking. He notices a thousand times a day the differences between the language he uses and the language those around him use. Bit by bit, he makes the necessary changes to make his language like other people’s. In the same way, children learning to do all the other things they learn to

56. The best way for children to learn a language and other things is for them to make mistakes and have them

corrected by themselves.

57. School teaching looks as if teachers think that children would notice a mistake and have it corrected themselves.

58. When it comes to a matter of right answers, teachers should give children the answer book and let them correct

their own papers.

59. The author strongly suggests that without correcting children’s mistakes, they would grown up into adults

who are unable to think for themselves.

60. The passage aims to say that it is necessary for parents to teach their children things that they will need to get

on in the world.

TFFFT

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第 2 页 共 4 页

A B C g E D a 第 3 页共 4 页

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山东大学-- 019 数学学院2011年硕士研究生招生目录

一、学术型学位 1.复试方式 全部初试上线考生均可参加复试,其形式为笔试和面试相结合,复试成绩实行百分制。复试成绩=(复试笔试成绩+复试面试成绩)×95%+外语听力成绩。 硕士拟录取成绩=初试成绩÷5×50%+复试成绩×50% 2.复试笔试科目: 基础数学:常微分方程、复变函数、实变函数(各约占1/3); 计算数学:数值逼近、数值方法、微分方程数值解(各约占1/3); 概率论与数理统计:概率论、数理统计(各约占1/2); 应用数学:计算方法、线性规划、数学模型(各约占1/3); 运筹学与控制论: 运筹学方向:概率论与数理统计、线性规划、整数线性规划(各约占1/3); 控制论方向:概率论与数理统计、线性系统(各约占1/2); 信息安全:概率论与数理统计、数论与代数结构、应用密码学(各约占1/3); 金融学、金融数学与金融工程:概率论、数理统计(各约占1/2); 系统理论:概率论与数理统计、线性规划、整数线性规划(各约占1/3)。 3.复试面试内容: 基础数学:英语、数学分析、线性代数、常微分方程、复变函数、实变函数; 计算数学:英语、数学分析、线性代数、微分方程数值解、数值逼近、数值代数、算法

语言; 概率论与数理统计:英语、数学分析、线性代数、概率论、数理统计、实变函数; 应用数学:英语、数学分析、线性代数、常微分方程、线性规划、数学模型、计算方法; 运筹学与控制论:英语、数学分析、线性代数、常微分方程、线性规划、整数线性规划、概率论与数理统计;或英语、数学分析、线性代数、常微分方程、自动控制原理、线性系统理论、概率论与数理统计; 信息安全:英语、数学分析、线性代数、概率论、数论与代数结构、计算机网络安全、应用密码学; 金融数学与金融工程:英语、数学分析、线性代数、概率论、数理统计、实变函数; 系统理论:英语、数学分析、线性代数、概率论、线性规划。 4.复试笔试科目参考书目: 基础数学:《复变函数》(第四版),余家荣著,高等教育出版社2007年版;《复变函数论》(第三版),钟玉泉编著,高等教育出版社2004年版;《实变函数与泛函分析》(第二版),郭大钧、黄春朝、梁方豪编著,山东大学出版社2005年版;《常微分方程教程》(第二版),丁同仁、李承治编著,高等教育出版社2004年版。 计算数学:《数值逼近》,孙淑英、张圣丽等编著,山东大学出版社;《数值线性代数》,徐树方著,北京大学出版社2006年版;《偏微分方程数值解法》,李荣华等编著,吉林大学,高等教育出版社2005年版;也可参考其他同类教材。 概率论与数理统计:《概率论基础》(第二版),复旦大学李贤平编,高等教育出版社2008年第十四次印刷;《数理统计》(一),复旦大学编,高等教育出版社1979年版;《概率论与数理统计》,刘建亚、吴臻编,高等教育出版社2004年版;《数理统计》,胡发胜、宿洁编,山东大学出版社2004年版。 应用数学:《数学模型》(第三版),姜启源编著,高等教育出版社2003年版;《计算方法引论》(第三版),徐萃薇、孙绳武编著,高等教育出版社2007年版;《运筹学》(第三版)(线性规划部分),刁在筠等编著,高等教育出版社2007年版。 运筹学与控制论:《概率论基础》(第二版),复旦大学李贤平编,高等教育出版社2008年第十四次印刷;《概率论与数理统计》(第二版),茆诗松、周纪芗编著,中国统计出版社2000年版;《运筹学》(第三版),刁在筠等编著,高等教育出版社2007年版;《自动控制原理》(第三版),高国桑、余文等著,华南理工大学出版社2009年版;《线性系统理论》,程兆林、马树萍编著,科学出版社2006年版;《数字信号处理——理论、算法与实现》(第二版),胡广书编著,清华大学出版社2003年版; 信息安全:英语、数学分析、线性代数、概率论同其它专业。《数论与代数结构》,王小云编,讲义;《密码学导引》,冯登国、裴定一编,科学出版社1999年版;《网络安全》,胡道元、闵京华著,清华大学出版社2004年版。 金融数学与金融工程:《概率论与数理统计》,刘建亚、吴臻编,高等教育出版社2004年版;《数理统计》,胡发胜、宿洁编,山东大学出版社2004年版;《概率论基础》(第一、二分册)(第二版),复旦大学李贤平编,高等教育出版社2008年第十四次印刷;《数理统计》,复旦大学编,高等教育出版社1979年版。 系统理论:《概率论》,华东师范大学出版社。 5.加试科目参考书目: 复变函数:《复变函数论》(第三版),钟玉泉编,高等教育出版社2004年版;《复变函数论》,张培璇编,山东大学出版社1993年版;《复变函数》(第四版),余家荣,高等教育出版社2007年版。 实变函数:《实变函数与泛函分析》(第二版),郭大钧、黄春朝、梁方豪编著,山东大

(汇总)数学分析3试卷及答案.doc

数学分析(3)期末试卷 2005年1月13日 班级_______ 学号_________ 姓名__________ 考试注意事项: 1.考试时间:120分钟。 2.试卷含三大题,共100分。 3.试卷空白页为草稿纸,请勿撕下!散卷作废! 4.遵守考试纪律。

一、填空题(每空3分,共24分) 1、 设z x u y tan =,则全微分=u d __________________________。 2、 设32z xy u =,其中),(y x f z =是由xyz z y x 3333=++所确定的隐函数,则 =x u _________________________。 3、 椭球面14222=-+z y x 在点)1,1,2(M 处的法线方程是__________________。 4、 设,d ),()(sin 2y y x f x F x x ? =),(y x f 有连续偏导数,则=')(x F __________________。 5、 设L 是从点(0,0)到点(1,1)的直线段,则第一型曲线积分?=L s x yd _____________。 6、 在xy 面上,若圆{} 12 2≤+=y x y x D |),(的密度函数为1),(=y x ρ,则该圆关 于原点的转动惯量的二重积分表达式为_______________,其值为_____________。 7、 设S 是球面1222=++z y x 的外侧,则第二型曲面积分=??dxdy z S 2 _______。 二、计算题(每题8分,共56分) 1、 讨论y x y x y x f 1 sin 1sin )(),(-=在原点的累次极限、重极限及在R 2上的连续性。

第四章 非线性规划 山大刁在筠 运筹学讲义教学内容

第四章 非线性规划 教学重点:凸规划及其性质,无约束最优化问题的最优性条件及最速下降法,约束最优化问题的最优性条件及简约梯度法。 教学难点:约束最优化问题的最优性条件。 教学课时:24学时 主要教学环节的组织:在详细讲解各种算法的基础上,结合例题,给学生以具体的认识,再通过大量习题加以巩固,也可以应用软件包解决一些问题。 第一节 基本概念 教学重点:非线性规划问题的引入,非线性方法概述。 教学难点:无。 教学课时:2学时 主要教学环节的组织:通过具体问题引入非线性规划模型,在具体讲述非线性规划方法的求解难题。 1、非线性规划问题举例 例1 曲线最优拟合问题 已知某物体的温度? 与时间t 之间有如下形式的经验函数关系: 3 12c t c c t e φ=++ (*) 其中1c ,2c ,3c 是待定参数。现通过测试获得n 组?与t 之间的实验数据),(i i t ?, i=1,2,…,n 。试确定参数1c ,2c ,3c ,使理论曲线(*)尽可能地与n 个测试点 ),(i i t ?拟合。 ∑=++-n 1i 221)]([ min 3i t c i i e t c c ?

例 2 构件容积问题 通过分析我们可以得到如下的规划模型: ??? ????≥≥=++++=0 ,0 2 ..)3/1( max 212 121222211221x x S x x x x a x x t s x x a V ππππ 基本概念 设n T n R x x x ∈=),...,(1,R R q j x h p i x g x f n j i α:,...,1),(;,...,1),();(==, 如下的数学模型称为数学规划(Mathematical Programming, MP): ?? ? ??===≤q j x h p i x g t s x f j i ,...,1,0)( ,...,1,0)( ..) ( min 约束集或可行域 X x ∈? MP 的可行解或可行点 MP 中目标函数和约束函数中至少有一个不是x 的线性函数,称(MP)为非线性规划 令 T p x g x g x g ))(),...,(()(1= T p x h x h x h ))(),...,(()(1=, 其中,q n p n R R h R R g αα:,:,那么(MP )可简记为 ?? ? ??≤≤ 0)( 0 ..)( min x h g(x)t s x f 或者 )(min x f X x ∈ 当p=0,q=0时,称为无约束非线性规划或者无约束最优化问题。 否则,称为约束非线性规划或者约束最优化问题。 定义4.1.1 对于非线性规划(MP ),若X x ∈*,并且有 X ),()(*∈?≤x x f x f 设计一个右图所示的由圆锥和圆柱面 围成的构件,要求构件的表面积为S , 圆锥部分的高h 和圆柱部分的高x 2之 比为a 。确定构件尺寸,使其容积最 大。

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