GET10 2007-1

PART II VOCABULARY (10 minutes, 10 points)

Section A (0.5 point each)

21. If innovators are not financially rewarded for their innovations, the incentive for path-breaking innovation will eventually dry up.

A. investment

B. resource

C. inspiration

D. stimulus

22. These illegal immigrants have to work long hours a day despite the appalling working conditions.

A. bewildering

B. exasperating

C. dismaying

D. upsetting

23. Many critics agreed that by and large, this movie was a success in terms of acting and photography.

A. all at once

B. by and by

C. to some extent

D. on the whole

24. The country carried on nuclear tests without feeling apprehensive about the consequences.

A. optimistic

B. anxious

C. uncertain

D. scared

25. There is the fear that babies might be genetically altered to suit the parents' wishes.

A. enhanced

B. revised

C. alternated

D. modified

26. The American Civil War is believed to have stemmed from differences over slavery.

A. arisen from

B. contributed to

C. patched up

D. participated in

27. Experts said the amount of compensation for sick smokers would be reduced if cooler jurors prevailed.

A. resigned

B. compromised

C. persisted

D. dominated

28. Hamilton hoped for a nation of cities while Jefferson contended that the country should remain chiefly agricultural.

A. inclined

B. struggled

C. argued

D. competed

29. There have been some speculations at times as to who will take over the company.

A. on occasion

B. at present

C. by now

D. for sure

30. TWA was criticized for trying to cover up the truth rather than promptly notifying victims' families.

A. briefly

B. quickly

C. accurately

D. earnestly

Section B (0.5 point each)

31. New York probably has the largest number of different language _________ in the world.

A. neighborhoods

B. communities

C. clusters

D. assemblies

32. Nuclear wastes are considered to _____ a threat to human health and marine life.

A. compose

B. impose

C. expose

D. pose

33. Some states in the US have set _____ standards concerning math and science tests.

A. energetic

B. vigorous

C. rigorous

D. grave

34. This school promised to make classes smaller and offer more individualized ___________.

A. presentation

B. instruction

C. conviction

D. obligation

35. Because of ______ ways of life, the couple has some difficulty getting along with each other.

A. incomprehensible

B. incomparable

C. inconceivable

D. incompatible

36. As __________ China and other emerging export powers, efforts to strengthen anti-corruption activities are gaining momentum.

A. in the light of

B. in the event of

C. in the case of

D. in the course of

37. According to an Australian research, moderate drinkers ________ better thinkers than heavy drinkers or those who never drink.

A. end up

B. take up

C. put up

D. turn up

38. Strangely enough, an old man ______ me and introduced himself, who turned out to be a friend of my father’s.

A. stood up to

B. walked up to

C. lived up to

D. added up to

39. Many children often _____ why airplanes can fly like birds while we humans cannot.

A. assume

B. anticipate

C. assure

D. wonder

40. The FDA was created to _______ the safety of products, review applications and grant approvals.

A. manipulate

B. adjust

C. regulate

D. manage

PART III CLOZE TEST (10 minutes, 10 points, 1 point each)

Tall people earn considerably more money throughout their lives than their shorter co-workers, with each inch adding about US$789 a year in pay, according to a new study. "Height 41 career success," says Timothy Judge, a University of Florida professor of management, who led the study. "These findings are troubling since, with a

few 42 , such as professional basketball, no one could argue that height is something essential required for job 43 ," Judge points out.

Judge analyzed results of four large-scale studies in the US and Britain that followed thousands of people from childhood to adulthood, examining details of their work and personal lives. "If you take this 44 the course of a 30-year career, we're talking about literally hundreds of thousands of dollars of earnings 45 that a tall person enjoys," Judge said.

Greater height boosted both subjective ratings of work performance--a supervisor's 46 of how effective someone is-- and 47 measures of performance--such as sales volume. Being tall may boost self-confidence, improving performance. Other people may also give higher 48 and greater respect to a tall person, giving them an edge in negotiating states, he says.

The commanding influence of height may be a remainder of our evolutionary 49 . Maybe from a time when humans lived among animals and size was 50 power and strength used when making "fight or run" decisions.

41. A. makes out B. works in C. takes on D. matters for

42. A. cases B. exceptions C. examples D. problems

43. A. performance B. operation C. condition D. environment

44. A. on B. with C. over D. to

45. A. deficiency B. advantage C. loss D. necessity

46. A. imagination B. decision C. judge D. evaluation

47. A. relative B. absolute C. objective D. initiative

48. A. state B. status C. situation D. statue

49. A. origins B. sources C. courses D. organizations

50. A. a time in B. a hold on C. a work at D. a sign of

PART IV READING COMPREHENSION (45 minutes, 30 points, 1 point each)

Passage One

At the University of California at Los Angeles (UCLA), a student loaded his class notes into a handheld e-mail device and tried to read them during an exam: a classmate turned him in. At the University of Nevada at Las Vegas (UNLV) students photographed test questions with their cellphone cameras and transmitted them to classmates. The university put in place a new examination-supervision system. "If they'd spend as much time studying, they'd all be A students," says Ron Yasbin, dean of the College of Sciences of UNLV.

With a variety of electronic devices, American students find it easier to cheat. And college officials find themselves in a new game of cat and mouse. They are trying to fight would-be cheats in the exam season by cutting off Internet access from laptops, demanding the surrender of cellphones before tests or simply requiring that exams be taken with pens and paper.

"It is annoying. My hand-writing is so bad," said Ryan Dapremont, 21 who just finished his third year at Pepperdine University in California. He had to take his exams on paper. Dapremont said technology has made cheating easier, but plagiarism (剽窃) in writing papers was probably the biggest problem. Students can lift other people's writings off the Internet without attributing them.

Still, some students said they thought cheating these days was more a product of the mindset, not the tools at hand. "Some people put too much emphasis on where they're going to go in the future, and all they're thinking about is graduate school and the next step," said Lindsay Nicholas, a third-year student at UCLA. She added that pressure to succeed "sometimes clouds everything and makes people do things that they shouldn't do."

Some professors said they tried to write exams for which it was hard to cheat, posing questions that outside resources would not help answer. Many officials said that they rely on campus honor codes. They said the most important thing was to teach students not to cheat in the first place.

51. One student at UCLA was found cheating ________________.

A. when he was loading his class notes into a handheld e-mail device

B. when he was trying to tell the answers to his classmates

C. after the university put in place a new examination-supervision system

D. after his classmate reported his cheating to the authority

52. According to Ron Yasbin, all the cheating students _____________.

A. should be severely punished for their dishonesty

B. didn't have much time to study before the exam

C. could get the highest grades if they had studied hard enough

D. could be excused because they were not familiar with the new system

53. To win the new game of cat and mouse in examinations, the college officials have to______________.

A. use many high-tech devices

B. cut off Internet access on campus

C. turn to the oral exanimation forms

D. cut off the use of high-tech devices

54. According to Ryan Dapremont, ______________.

A. examinations taken with pens and paper were useless in fighting cheating

B. his examination paper was under-graded because of his bad hand-writing

C. cheating was more serious in writing papers than in examinations

D. it was more difficult for him to lift other people's writings off the Internet

55. Which of the following is probably the most Significant measure to fight cheating?

A. Putting less emphasis on where the students are going to go in the future.

B. Letting students know that honesty is more important.

C. Writing examinations for which it is hard to cheat.

D. Setting up more strict campus honor codes.

56. The best title of the passage might be_____________.

A. Cheating Has Gone High-tech

B. Game of Cat and Mouse

C. A New Examination-supervision System

D. Measures to Fight Against Dishonesty

Passage Two

Top marathon runners tend to be lean and light, star swimmers are long thighs with huge feet and gold medal weightlifters are solid blocks of muscle with short arms and legs. So, does your physical shape--and the way your body works--fit you for a particular sport? Or does your body develop a certain way because of your chosen sport? "It's about 55:45, genes to the environment," says Mike Rennie, professor of clinical physiology at Britain's University of Nottingham Medical School. Rennie cites the case of identical twins from Germany, one of whom was a long-distance athlete, the other a powerful sportsman, so, "They look quite different, despite being identical twins."

Someone who's 1.5-meters tall has little chance of becoming an elite basketball player. Still, being over two meters tall won't automatically push you to Olympic gold. "Unless you have tactical sense where needed, unless you have access to good equipment, medical care and the psychological conditions, and unless you are able to drive yourself through pain, all the physical strength will be in vain," said Craig Sharp, professor of sports science at Britain's Brunel University.

Jonathan Robinson, an applied sports scientist at the University of Bath's sports development department, in southwest England, points to the importance of technique. "In swimming only 5-10 per cent of the propelling force comes from the legs, so technique is vital."

Having the right physique for the right sport is a good starting point. Seventeen years ago, the Australian Institute of Sport started a national Talent Search Program, which searched schools for 14-16-year-olds with the potential to be elite athletes. One of their first finds was Megan Still, world champion rower. In 1987, Still had never picked up an oar in her life. But she had almost the perfect physique for a rower. After intensive training, she won gold in women's rowing in the 1996 Atlanta Olympics.

Other countries have followed the Australian example. Now the explosion of genetic knowledge has meant that there is now a search, not just for appropriate physique but also for "performance genes."

57. It can be concluded from the passage that__________.

A. physical strength is more important for sportspersons' success

B. training conditions are more important for sportspersons' success

C. genes are more important for sportspersons' success

D. psychological conditions are more important for sportspersons' success

58. The case of identical twins from Germany shows that_________.

A. environment can help determine people's body shape

B. genes are the decisive factors for people's body shape

C. identical twins are likely to enjoy different sports

D. identical twins may have different genes for different sports

59. Which of the following is NOT mentioned by Craig Sharp as a required quality for a sportsperson to win an Olympic gold medal?

A. The physical strength.

B. The right training conditions.

C. The talent for the sports.

D. The endurance for pains.

60. Seventeen years ago Megan Still was chosen for rowing because____________.

A. she had the talent for rowing

B. her body shape was right for a rower

C. she had the performance genes

D. she was a skillful rower

61. The word "elite" in Paragraph 5 means ________ .

A. the most wealthy

B. the most skilled

C. the most industrious

D. the most intelligent

62. The elite athletes of the future may come from people who naturally possess___________.

A. the best body shapes and an iron purpose

B. the extremes of the right physique and strong wills

C. the right psychological conditions and sports talents

D. the right physique and genes for sports

Passage Three

For years, a network of citizens' groups and scientific bodies has been claiming that science of global warming is inconclusive. But who funded them?

Exxon's involvement is well known. ExxonMobil is the world's most profitable corporation. It makes most of its money from oil, and has more to lose than any other company from efforts to tackle climate change. To safeguard its profits, ExxonMobil needs to sow doubt about whether serious action needs to be taken on climate change. But there are difficulties: it must confront a scientific consensus as strong as that which maintains that smoking causes lung cancer or that HIV causes Aids. So what's its strategy?

The website https://www.wendangku.net/doc/0e17347831.html,, using data found in the company's official documents, lists 124 organizations that have taken money from the company or work closely with those that have. These organizations take a consistent line on climate change: that the science is contradictory, the scientists are split, environmentalists are liars or lunatics, and if governments took action to prevent global warming, they would be endangering the global economy for no good reason. The findings these organizations dislike are labeled "junk science". The findings they welcome are labeled "sound science".

This is not to claim that all the science these groups champion is bogus. On the whole, they use selection, not invention. They will find one contradictory study - such as the discovery of tropospheric (对流层的) cooling - and promote it relentlessly. They will continue to do so long after it has been disproved by further work. So, for example, John Christy, the author of the troposphere paper, admitted in August 2005 that his figures were incorrect, yet his initial findings are still being circulated and championed by many of these groups, as a quick internet search will show you.

While they have been most effective in the United States, the impacts of the climate-change deniers sponsored by Exxon have been felt all over the world. By dominating the media debate on climate change during seven or eight critical years in which urgent international talks should have been taking place, by constantly seeding doubt about the science just as it should have been most persuasive, they have justified the money their sponsors have spent on them many times over.

63. Which of the following has NOT been done by the organizations to establish their position on climate change'?

A. Damaging the reputation of environmentalists.

B. Emphasizing the lack of consensus among scientists.

C. Stressing the unnecessary harm to tile global economy.

D. Protecting the scientific discoveries from being misused.

64. Which of the following is closest in meaning to "bogus' (in Paragraph 4)?

A. Reasonable.

B. Fake.

C. Limitless.

D. Inconsistent.

65. John Christy is mentioned to show_______________.

A. how closely these organizations work with scientists

B. how these organizations select scientific findings for their own purpose

C. how important correct data are for scientists to make sound discoveries

D. how one man's mistake may set back the progress of science

66. The organizations sponsored by Exxon ___________.

A. have lived up to their promises

B. have almost caused worldwide chaos

C. have failed to achieve their original goal

D. have misunderstood the request of the sponsor

67. The passage is mainly focused on____________.

A. Exxon's involvement in scientific scandals

B. Exxon's contributions to the issue of climate change

C. Exxon's role in delaying solutions to global warming

D. Exxon's efforts to promote more scientific discoveries

68. What is the author's tone in presenting the passage?

A. Factual.

B. Praiseful.

C. Biased.

D. Encouraging.

Passage Four

Where anyone reaching the age of 60 was considered to be near death's door at the turn of the 20th century, it is barely old enough for retirement at the turn of the 21st century. And scientists are still not holding back. They say that as new anti-ageing treatments become available, our species will get even older. While few would argue that living longer is an attractive idea, the rapid increase in the number of years begs a question: Can our health expectancy be as close as possible to our life expectancy?

Predictions for future health expectancy have changed over the past few decades. In the 1980s, life expectancy was increasing but the best data suggested that for every increased year of life expectancy, a greater fraction was disabled life expectancy. What we would see was a piling up of chronic illness and related disability which medical science couldn't prevent.

But that world view changed suddenly in the early 1990s with the publication of a study by researchers at Duke University, who had been following the health of 20,000 people for almost a decade. They showed that disability among the elderly was not only dropping, but it was doing so at an ever-increasing rate.

Arian Richardson, director of the Barshop Institute for Ageing and Longevity research, predicts that understanding the mechanisms behind calorie restriction and other genetic reasons behind ageing could be used within the next two decades to give people several extra healthy years of life. Restrict how much an animal eats, for example, and it will live longer. In lab experiments, rats on calorie-restricted diets were found to be physiologically younger, got diseases later in life and, at any rate, had less severe cases. "From the models that have been looked at, the increase in lifespan is usually in the range of 15-30% maximum," says Richardson. Cutting calories is thought to trigger a switch in an animal's behaviour from normal to a state of stasis in which growth and ageing are temporarily put on hold. When food becomes available again, the animal's behaviour switches back.

Richardson says that thinking about stopping ageing is a "little bit silly" at the moment but doesn't dismiss it altogether, arguing that none of the illnesses related to ageing should be inevitable. Start with a high-quality body (and that means eating your greens, not smoking and doing lots of exercise in your younger days) and you can keep it going for longer with high quality maintenance. "It'll be like the difference between a Rolls-Royce and a cheap car."

69. It can be seen from the first paragraph that people have doubts on whether _____________.

A. is possible to live a longer healthy and life

B. humans can live as long as scientists predict

C. living longer is still considered a good idea

D. new anti-ageing treatments are safe for humans

70. In the 1980s, the data on people's health expectancy_______________.

A. gave an optimistic prediction

B. showed an unclear future

C. led to a pessimistic perception

D. turned out to be a mixed blessing

71. In the lab experiment on rats,_____________.

A. food restriction is not the only factor proved to have worked

B. responses to food restriction vary from animal to animal

C. the animals' lifespan increases with the amount of food eaten

D.different amounts of food cause a change in the animals' behavior

72. Richardson believes that_________.

A. it is impossible for humans to stop ageing

B. it is worthless to talk about stopping ageing

C. stopping ageing is a dream that may come true

D. illness is the biggest obstacle to stopping ageing

73. Rolls-Royce is used to convey the idea that_______________.

A. quality life is out of reach for most people

B. quality life can slow down the process of aging

C. how long one can live depends on the genes one carries

D. the more money one invests in health, the healthier one will be.

74. The most suitable title for the passage is “___________”.

A. Problems of An Ageing Society

B. Health Care for the Elderly

C. Eating Healthier, Living Longer

D.The Future of Old Age

Passage Five

In dealing with a student who is acting aggressively toward his classmates, you want to send a strong message that aggressive behavior will not be tolerated in your classroom. In addition, you want to help him develop more appropriate ways of settling disputes with his peers.

If two elementary school students are engaged in a fight, use a strong loud voice to stop it. If that doesn't work, you might say something odd ("Look up! The ceiling is falling!") to divert their attention. If they still don't stop and you can't separate them, send a student to the office to get help. If a crowd of children is gathering, insist that they move away or sit down, perhaps clapping your hands to get their attention: After the incident is over, meet with the combatants together so they can give you their versions of what happened and you can help them resolve any lingering problems. Also notify the parents.

Speak in a firm, no-nonsense manner to stop a student's aggressive behavior: use physical restraint as a last resort. When responding to the student, pay attention to your verbal as well as non-verbal language. Even if he is yelling at you, stay calm. Allow him to express what he is upset about without interrupting him and then acknowledge his feelings. Avoid crossing your arms, pointing a finger or making threats: any of those actions could intensify his anger and stiffen his resistance.

You might conclude that a student's aggressive behavior warrants separating him from the rest of the class, either to send him a strong message that what he did merits a serious consequence or to protect the other students. You can do that by giving him a time out in class or by sending him to the office.

Although he might expect you to react punitively, surprise him by reacting supportively. Express your confidence that he can resolve problems without being hurtful to his peers. Tell him that you think he must be upset about something to lose control as he did and you want to understand what might be bothering him. If he does open up to you, listen attentively without interrupting. Speaking m a calm voice, tell him that you understand why he was upset, but stress that he has to find a way to express his anger with words rather than with his hands. You don't want to force an aggressive student to say he is sorry because that might fuel his anger, however, you do want to strongly encourage him to make amends with the student he hit. If he is willing to do that, it will help soothe hurt feelings and avoid future conflicts.

75. What is the purpose of saying something odd when seeing students in a fight?

A. To please the students.

B. To surprise the students.

C. To get the students' attention.

D. To distract the students' attention.

76. What is to be done about a student's aggressive behavior?

A. Respond calmly but finny.

B. Tell the student's parents immediately.

C. Ask other students for help to stop the action.

D. Have the student go to see the principal.

77. What is NOT encouraged to do toward an aggressive student?

A. Use physical restraint.

B. Give the student a time out.

C. Point at the student or make threats.

D. Talk with the student privately.

78. What does the word "'punitively" (in Paragraph 5) probably mean?

A. Surprisingly.

B. Depressingly.

C. Involving persuasion.

D. Involving punishment.

79. What might be the last step to help all aggressive student?

A. Encourage the student to be nice to the student he hit.

B. Ask the student to promise he'll never do it again.

C. Force the student to apologize for his behavior.

D. Persuade the student to open up to you.

80. Which of the following is the best title of the passage?

A. Problems in Classrooms.

B. Dealing with Student Aggression.

C. Aggressive Behavior in Classrooms.

D. Settling a Student Fight.

PART V TRANSLATION (30 minutes, 20 points)

Section A (15 minutes, 10 points)

One of the unintended consequences of the flattening world is that it puts different societies and cultures in much greater direct contact with one another. It connects people to people much faster than people and cultures can often prepare themselves. Some cultures thrive on the sudden opportunities for collaboration that this global intimacy makes possible. Others are frustrated, and even humiliated by this close contact, which, among other things, makes it easy for people to see where they stand in the world in relation to everyone else. All of this helps to account for the emergence of one of the most devastating forces today - the suicide bombers and other terrorist organizations which have no regard for human lives and which it is in our best interest to wipe out.

Section B (15 minutes, 10 points)

该法案旨在对美国中小学进行教育改革并使所有儿童有机会得到高质量的教育。最终目标是确保无一人落后。由于此法案的实施，学校有更多的灵活性把资源用于最急需的地方。父母可更多地参与孩子的教育。

PART VI WRITING ( 30 minutes, 10 points )

Directions: For this part, you are allowed 30 minutes to write a composition of no less than 150 words under the title of "Work Experience". Your composition should be based on the following outline:

As the job market becomes more competitive, many employers require work experience. Do you think graduate students should gain work experience before graduation? How can you gain work experience before graduation?

参考答案

Section A

世界变平产生一些意外的后果，其一就是不同的社会和文化可以更多地直接接触。人们之间连接的速度之快使人和社会措手不及。一些文化凭借全球亲密接触突然带来的合作机遇兴旺发达(蓬勃发展)。另一些文化却由于这种亲密接触而感到灰心丧气，甚至感到自尊受到伤害，原因是这种亲密接触的后果之一是使人们轻易地发现彼此在世界中的位置。所有这一切有助于说明为什么现在会出现一种最具有杀伤力的力量——自杀性爆炸者和其他恐怖组织。这些组织不顾人们的死活，消灭它们最符合我们的利益。Section B

This act is intended (aims) to introduce education reform in America's elementary and secondary schools and give all children the access to high-quality education. The ultimate goal is to ensure that no one is left behind. As a result of the implementation of this act, schools enjoy more flexibility to use resources where they are needed most. Parents can get more involved in the child's education.

大学高等数学上考试题库(附答案)

《高数》试卷1（上） 一．选择题（将答案代号填入括号内，每题3分，共30分）. 1．下列各组函数中，是相同的函数的是（ ）. （A ）()()2ln 2ln f x x g x x == 和 （B ）()||f x x = 和 ()2g x x = （C ）()f x x = 和 ()() 2 g x x = （D ）()|| x f x x = 和 ()g x =1 2．函数()()sin 42 0ln 10x x f x x a x ?+-≠? =+?? =? 在0x =处连续，则a =（ ）. （A ）0 （B ）1 4 （C ）1 （D ）2 3．曲线ln y x x =的平行于直线10x y -+=的切线方程为（ ）. （A ）1y x =- （B ）(1)y x =-+ （C ）()()ln 11y x x =-- （D ）y x = 4．设函数()||f x x =，则函数在点0x =处（ ）. （A ）连续且可导 （B ）连续且可微 （C ）连续不可导 （D ）不连续不可微 5．点0x =是函数4 y x =的（ ）. （A ）驻点但非极值点 （B ）拐点 （C ）驻点且是拐点 （D ）驻点且是极值点 6．曲线1 || y x = 的渐近线情况是（ ）. （A ）只有水平渐近线 （B ）只有垂直渐近线 （C ）既有水平渐近线又有垂直渐近线 （D ）既无水平渐近线又无垂直渐近线 7． 211 f dx x x ??' ???? 的结果是（ ）. （A ）1f C x ?? -+ ??? （B ）1f C x ?? --+ ??? （C ）1f C x ?? + ??? （D ）1f C x ?? -+ ??? 8． x x dx e e -+?的结果是（ ）. （A ）arctan x e C + （B ）arctan x e C -+ （C ）x x e e C --+ （ D ）ln()x x e e C -++ 9．下列定积分为零的是（ ）.

大一高数试题及解答

大一高数试题及解答

大一高数试题及答案 一、填空题（每小题１分，共１０分） ________ １ １．函数ｙ＝ａｒｃｓｉｎ√１－ｘ2＋ ────── 的定义域为 _________ √１－ｘ2 _______________。 ２．函数ｙ＝ｘ＋ｅx上点（０，１）处 的切线方程是______________。 ｆ（Xo＋２h）－ｆ（Xo－３h） ３．设ｆ（X）在Xo可导且ｆ'（Xo）＝Ａ， 则ｌｉｍ─────────────── h→o h ＝ _____________。

４．设曲线过（０，１），且其上任意点（Ｘ，Ｙ）的切线斜率为２Ｘ，则该曲线的方程是 ____________。 ｘ ５．∫─────ｄｘ＝_____________。 １－ｘ4 １ ６．ｌｉｍＸｓｉｎ───＝___________。 x→∞ Ｘ ７．设ｆ（ｘ，ｙ）＝ｓｉｎ（ｘｙ），则ｆx（ｘ，ｙ）＝____________。 _______ R √R2－ｘ2 ８．累次积分∫ ｄｘ∫ ｆ（Ｘ2＋Ｙ2）ｄｙ化为极坐标下的累次积分为 ____________。 0 0

ｄ3ｙ３ｄ2ｙ９．微分方程─── ＋──（─── ）2的阶数为____________。 ｄｘ3ｘｄｘ2 ∞ ∞ １０．设级数∑ ａ n 发散，则级数∑ ａ n _______________。 n=1 n=1000 二、单项选择题（在每小题的四个备选答案中，选出一个正确的答案，将其码写在题干的（）内， １～１０每小题１分，１１～２０每小题２分，共３０分） （一）每小题１分，共１０分 １ １．设函数ｆ（ｘ）＝── ，ｇ（ｘ）＝１－ｘ，则ｆ［ｇ（ｘ）］＝（） ｘ

大学高数试卷及答案

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浙江农林大学 2016 - 2017 学年第 一 学期期中考试 课程名称： 高等数学Ｉ 课程类别： 必修 考试方式： 闭卷 注意事项：1、本试卷满分100分。 2、考试时间 120分钟。 一、单项选择题（在每小题的四个备选答案中，选出一个正确答案，并将正确答案的选项填在题后的括号内。每小题3分，共21分） 1．下列各式正确的是： ( ) A. sin lim 1x x x →+∞= B. 0sin lim 0x x x →= C. 1lim 1x x e x →+∞??+=- ??? D. 1lim 1x x e x →+∞ ?? += ??? 2. 当0x +→ ( ) 1 B. ln C. 1- 1-3. 设()f x 在x a =的某邻域有定义，则它在该点处可导的一个充分条件是： ( ) A.1lim ()()h h f a f a h →+∞?? +-???? 存在 B. 0(2)()lim h f a h f a h h →+-+存在 C. 0 ()()lim 2h f a h f a h h →+--存在 D. 0()() lim h f a f a h h →--存在 学院： 专业班级： 姓名 学号： 装 订 线 内 不 要 答 题

4. 函数33y x x =-在区间[0,1]上的最小值是： ( ) A. 0 B. 没有 C. 2 D. 29 - 5. 函数21y x =-在区间[1,1]-上应用罗尔定理时，所得到的中值ξ= ( ) A. 0 B. 1 C. 1- D. 2 6．设函数2 ()(1)0 ax e x f x b x x ?≤=?->?处处可导，那么： ( ) A ．1a b == B ．2,1a b =-=- C ．0,1a b == D ．1,0a b == 7. 设x a =为函数()y f x =的极值点，则下列论述正确的是 ( ) A ．'()0f a = B ．()0f a = C ．''()0f a = D ．以上都不对 二、填空题（每小题3分，共21分） 1. 极限232)sin (1 cos lim x x x x x +-+∞→= . 2 ．极限2 lim n n →∞ ?? + + +=. 3.设函数f (x )=2310 22 2 x x x x a x ?+-≠? -??=?在点x =2处连续，则a = . 4. 函数()sin x f x x = 的间断点为 . 5. 函数22ln y x x =-的单调减区间为 . 6. 设函数ln y =dy = . 7．椭圆曲线cos sin x a t y b t =??=? 在4t π =相应的点处的切线方程为 . 三、求下列极限（每小题 6分, 共18分）

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浙江农林大学2016 - 2017 学年第 一学期期中考试 课程名称： 高等数学I 课程类别： 必修 考试方式： 闭卷 注意事 项：1、本试卷满分100分。 2、考试时间120分钟。 题 答 :号学 要 不 :名姓 内 线 ? ?级班 业 专 :院学 题号 -一一 二二二 -三 四 五 六 七 八 得分 得分 评阅人 、单项选择题(在每小题的四个备选答案中，选出一个正确 答案，并将正确答案的选项填在题后的括号内。每小题 3分, 共21分) 1 ?下列各式正确的是: 得分 A. sin x lim 1 B. x x C. lim 1 - x e D. x x 2.当 x 0时，与 f ■- x 等价的无穷小量 是: A. \/1 V x 1 B. In --------------------- x C. 1 J x 3.设 f (x)在 x a 的某邻域有定义, A.J imhfQ ) f(a)存在 叫 H h sin x lim x 0 lim 1 D. cos 、二 则它在该点处可导的一个充分条件是: B. m o H h 叫 H h 在

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浙江农林大学 2016 - 2017 学年第 一 学期期中考试 课程名称： 高等数学Ｉ 课程类别： 必修 考试方式： 闭卷 注意事项：1、本试卷满分100分。 2、考试时间 120分钟。 一、单项选择题（在每小题的四个备选答案中，选出一个正确答案，并将正确答案的选项填在题后的括号内。每小题3分，共21分） 1．下列各式正确的是： ( ) A. sin lim 1x x x →+∞= B. 0sin lim 0x x x →= C. 1lim 1x x e x →+∞??+=- ??? D. 1lim 1x x e x →+∞ ?? += ??? 2. 当0x +→ ( ) 1 B. ln C. 1- 1-3. 设()f x 在x a =的某邻域有定义，则它在该点处可导的一个充分条件是：( ) A.1lim ()()h h f a f a h →+∞?? +-???? 存在 B. 0(2)()lim h f a h f a h h →+-+存在 C. 0 ()()lim 2h f a h f a h h →+--存在 D. 0()() lim h f a f a h h →--存在 学院： 专业班级： 姓名： 学号： 装 订 线 内 不 要 答 题

4. 函数33y x x =-在区间[0,1]上的最小值是： ( ) A. 0 B. 没有 C. 2 D. 29 - 5. 函数21y x =-在区间[1,1]-上应用罗尔定理时，所得到的中值ξ= ( ) A. 0 B. 1 C. 1- D. 2 6．设函数2 ()(1)0 ax e x f x b x x ?≤=?->?处处可导，那么： ( ) A ．1a b == B ．2,1a b =-=- C ．0,1a b == D ．1,0a b == 7. 设x a =为函数()y f x =的极值点，则下列论述正确的是 ( ) A ．'()0f a = B ．()0f a = C ．''()0f a = D ．以上都不对 二、填空题（每小题3分，共21分） 1. 极限232)sin (1cos lim x x x x x +-+∞→= . 2 ．极限lim n →∞ ?? +L =. 3.设函数f (x )=2310 22 2 x x x x a x ?+-≠? -??=?在点x =2处连续，则a = . 4. 函数()sin x f x x = 的间断点为 . 5. 函数22ln y x x =-的单调减区间为 . 6. 设函数ln y =dy = . 7．椭圆曲线cos sin x a t y b t =??=? 在4t π =相应的点处的切线方程为 .

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大一高等数学期末考试试卷 （一） 一、选择题（共12分） 1. （3分）若2,0, (),0 x e x f x a x x ?<=?+>?为连续函数,则a 的值为( ). (A)1 (B)2 (C)3 (D)-1 2. （3分）已知(3)2,f '=则0 (3)(3) lim 2h f h f h →--的值为（ ）. (A)1 (B)3 (C)-1 (D) 12 3. （3 分）定积分22 π π -?的值为（ ）. (A)0 (B)-2 (C)1 (D)2 4. （3分）若()f x 在0x x =处不连续,则()f x 在该点处( ). (A)必不可导 (B)一定可导(C)可能可导 (D)必无极限 二、填空题（共12分） 1．（3分） 平面上过点(0,1)，且在任意一点(,)x y 处的切线斜率为23x 的曲线方程为 . 2. （3分） 1 2 4 1(sin )x x x dx -+=? . 3. （3分） 2 1lim sin x x x →= . 4. （3分） 3 2 23y x x =-的极大值为 . 三、计算题（共42分） 1. （6分）求2 ln(15)lim .sin 3x x x x →+ 2. （6 分）设1 y x = +求.y ' 3. （6分）求不定积分2ln(1).x x dx +?

4. （6分）求3 (1),f x dx -? 其中,1,()1cos 1, 1.x x x f x x e x ? ≤? =+??+>? 5. （6分）设函数()y f x =由方程0 cos 0y x t e dt tdt + =?? 所确定,求.dy 6. （6分）设2()sin ,f x dx x C =+?求(23).f x dx +? 7. （6分）求极限3lim 1.2n n n →∞? ?+ ?? ? 四、解答题（共28分） 1. （7分）设(ln )1,f x x '=+且(0)1,f =求().f x 2. （7分）求由曲线cos 2 2y x x π π?? =- ≤≤ ?? ? 与x 轴所围成图形绕着x 轴旋转一周所得旋 转体的体积. 3. （7分）求曲线3232419y x x x =-+-在拐点处的切线方程. 4. （7 分）求函数y x =+[5,1]-上的最小值和最大值. 五、证明题(6分) 设()f x ''在区间[,]a b 上连续,证明 1()[()()]()()().2 2 b b a a b a f x dx f a f b x a x b f x dx -''= ++ --? ? （二） 一、 填空题（每小题3分，共18分） 1．设函数()2 312 2 +--= x x x x f ，则1=x 是()x f 的第 类间断点. 2．函数()2 1ln x y +=，则= 'y . 3． =? ? ? ??+∞→x x x x 21lim . 4．曲线x y 1 = 在点?? ? ??2,21处的切线方程为 .

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. 农林大学 2016 - 2017 学年第 一 学期期中考试 课程名称： 高等数学Ｉ 课程类别： 必修 考试式： 闭卷 注意事项：1、本试卷满分100分。 2、考试时间 120分钟。 一、单项选择题（在每小题的四个备选答案中，选出一个正确答案，并将正确答案的选项填在题后的括号。每小题3分，共21分） 1．下列各式正确的是： ( ) A. sin lim 1x x x →+∞= B. 0sin lim 0x x x →= C. 1lim 1x x e x →+∞??+=- ??? D. 1lim 1x x e x →+∞ ?? += ??? 2. 当0x +→ 等价的无穷小量是： ( ) A. 1 B. ln C. 1- D. 1- 3. 设()f x 在x a =的某邻域有定义，则它在该点处可导的一个充分条件是：( ) A.1lim ()()h h f a f a h →+∞?? +-???? 存在 B. 0(2)()lim h f a h f a h h →+-+存在 C. 0 ()()lim 2h f a h f a h h →+--存在 D. 0()() lim h f a f a h h →--存在 4. 函数33y x x =-在区间[0,1]上的最小值是： ( ) 学院： 专业班级： 姓名： 学号： 装 订 线 内 不 要 答 题

A. 0 B. 没有 C. 2 D. 29 - 5. 函数21y x =-在区间[1,1]-上应用罗尔定理时，所得到的中值ξ= ( ) A. 0 B. 1 C. 1- D. 2 6．设函数2 ()(1)0 ax e x f x b x x ?≤=?->?处处可导，那么： ( ) A ．1a b == B ．2,1a b =-=- C ．0,1a b == D ．1,0a b == 7. 设x a =为函数()y f x =的极值点，则下列论述正确的是 ( ) A ．'()0f a = B ．()0f a = C ．''()0f a = D ．以上都不对 二、填空题（每小题3分，共21分） 1. 极限232)sin (1 cos lim x x x x x +-+∞→= . 2 ．极限2 lim n n →∞ ?? + + +=. 3.设函数f (x )=2310 22 2 x x x x a x ?+-≠? -??=? 在点x =2处连续，则a = . 4. 函数()sin x f x x =的间断点为 . 5. 函数22ln y x x =-的单调减区间为 . 6. 设函数ln tan y =，则dy = . 7．椭圆曲线cos sin x a t y b t =??=? 在4t π =相应的点处的切线程为 . 三、求下列极限（每小题6分, 共18分） 1. 求极限 1 1sin 1lim 2 --+→x x e x x

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大一高数试题及答案

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