2013年江苏省专转本真题讲解
2013年江苏省专转本高等数学(三年级)真题参考答案
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江苏省普通高校专转本选拔考试高等数学(二年级)真题2013年_真题-无答案
江苏省普通高校专转本选拔考试高等数学(二年级)真题2013
年
(总分150,考试时间120分钟)
注意事项:1、本试卷分为试题卷和答题卡两部分,试题卷共3页,全卷满分150分,考试时间120分钟.2、必须在答题卡上作答,作答在试题卷上无效。
作答前未必将自己的姓名和准考证号准确清晰地填在试题卷和答题卡上的指定位置。
3、考试结束时,须将试题卷和答题卡一并交回。
一、选择题(本大题共6小题,每小题4分,满分24分。
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二、填空题(本大题共6小题,每小题4分,共24分)
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三、计算题(本大题共8小题,每小题8分,共64分)
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四、综合题(本大题共2小题,每小题10分,共20分)
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五、证明题(本大题共2小题,每小题9分,共18分)
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2013江苏专转本英语真题及答案
江苏省2013年普通高校专转本考试真题Part I Reading Comprehension (共20小题,每小题2分,共40分)Directions: There are 4 passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are 4 choices marked A, B, C and D. You should decide on the best choice and mark the corresponding letter on the Answer Sheet with a single line through the center.Passage OneQuestions 1 to 5 are based on the following passage.When Mrs. Joseph Groeger died recently in Vienna, Austria, people asked the obvious question. “W hy did she live to be 107?” Answers were provided by a survey conducted among 148 Viennese men and women who had reached the age of 100. What was surprising was that the majority had lived most of their lives in cities. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. One factor seems to be important to the longevity(长寿) of those interviewed.This factor is exercise. In the cities it is often faster to walk short distances than to wait for a bus. Even taking public transportation often requires some walking. Smaller apartment houses have no elevators, and so people must climb stairs. City people can usually walk to local supermarkets. Since parking spaces are hard to find, there is often no choice but to walk.On the other hand, those who live in the country and suburbs do not have to walk every day. In fact, the opposite is often true. To go to school, work, or almost anywhere else, they must ride in cars.1.The Vienna survey may help to explain __________.A.the complaints of people in apartment housesB.the causes of Mrs. Groeger’s deathC.the longevity of people like Mrs. GroegerD.the image of cities in general2.The second paragraph lists some ___________.A.disadvantage of walkingB.occasions for walking in city lifeC.problems of city livingments made by city people3.To reach the third floor of a building, it would probably be most healthful ___________.A.to take the elevatorB.to walk up the stairsC.to ride in a carD.to find an alternative walking4.People who live in the country usually do more driving than walking because ___________.A.they don’t live near business areasB.they don’t need exerciseC.they don’t like walkingD.they can’t afford to take the bus5.We can draw a conclusion from this passage that _________.A.air pollution is not seriousB.anyone can live to be 107C.country people should move to citiesD.walking is a healthful exercisePassage TwoQuestions 6 to 10 are based on the following passage.The Bedouin people, a tribe living in the deserts of Arabia and Northern African, think most highly of people who show loyalty. To them loyalty does not mean that one is devoted to a country, a place, or a leader. Loyalty means being faithful to one’s family and tribe.The Bedouin people are proud of their ancestors(祖先). They do not admire a hero from an ordinary or poor family as much as one who comes from an honored family. They especially respect those who have inherited(继承) a good family name and then have passed it on to their children.A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. If they are honored, he is also honored. If they are disagreed, he, too, is disgraced. Therefore, one carefully guards the honor of his family and his tribe.A man can protect his family’s honors by being brave and generous and by giving protection to those who ask for it. He also guards it by carefully watching the women of his family.A Bedouin woman cannot bring honor to her family, but she can bring disgrace. Even if a woman only looks as if she has done something wrong, she may be killed. The honor of her family depends upon her virtue(美德).6. The best title for this passage can be __________.A. Life of the Bedouin PeopleB. Women’s Position in the Bedouin FamilyC. Bedouin People’s Idea of Loyalty and HonorD. How to Guard Honors7. The Bedouin people think most highly of one who is ______.A. devoted to his country and his leaderB. from an ordinary familyC. proud of his ancestor and relativesD. faithful to his family and tribe8. It is learned from the passage that ___________.A. a hero from an honored family is more admiredB. one can not live in the tribe without a good family nameC. all the Bedouin people are kind, brave and generousD. family traditions can never be passed to children9. The word “disgraced” (Para. 3) means “ __________”.A. disappearedB. disappointedC. dishonoredD. discouraged10. It is implied in the passage that the Bedouin women are __________.A. treated as the equals of menB. respected for what they doC. not interested in positionD. not respected as much as menPassage ThreeQuestions 11 to 15 are based on the following passage.Up until about 100 years ago, newspaper in the United States attracted only the most serious readers. They used no illustrations (插图) and the articles were about politics or business.Two men changed that---Joseph Pulitzer of the New York World and William Randolph Hearst of the New York Journal. Pulitzer bought the New York World in 1883. He changed it from a traditional newspaper into a very exciting one overnight. He added lots of illustrations and he told his reporters to write articles on every crime they could find. And they did. One woman reporter even pretended she was mad and was sent to a hospital. She then wrote many articles about the poor treatment of patients in those hospitals where madmen were kept. In 1895, Hearst came to New York from California. He wanted the Journal to be more exciting than the World. He also wanted it to be cheaper, so he lowered the price by a penny. Hearst attracted attention because his newspaper heading were bigger than any one else’s. He often said, “Big print makes big news.”Pulitzer and Hearst did anything they could to sell newspaper. For example, Hearst sent Frederic Remington, the famous illustrator, to draw pictures of the Spanish-American War. When he got there, he told Hearst that no fighting was going on. Hearst answered, “ You provide the pictures. I’ll provide the war.11. About a century ago, American newspaper carried news about __________.A. all kinds of exciting newsB. crimes and mad peopleC. the poor treatment of patientsD. serious matters only12. According to Paragraph 2, which of the following statements is TRUE?A. Pulitzer and a woman news reporter changed the world overnight.B. Pulitzer bought the Journal with the help of his reporter.C. A woman news reporter pretended to be mad.D. A woman reporter became mad and was sent to a hospital.13. Hearst attracted readers’ attention by ______________.A. using bigger headingsB. reporting big war newsC. raising the price of the newspaperD. reporting politics and business only14. __________ was asked to draw war pictures.A. HearstB. RemingtonC. PulitzerD. A woman reporter15. This passage tells us that ________.A. Pulitzer and Hearst were the most famous reporters of the United StatesB. newspaper owners sometimes hired mad men as their news reportersC. the world and the journal were not popular newspaper at that timeD. Pulitzer and Hearst used every possible means to win over each otherPassage FourQuestions 16 to 20 are based on the following passage.It is hard to imagine life without Arabic numbers(数字). No other number system ever invented has a simple way to write a number like 1984. In Roman numeral, it comes out like this MCMLXXXIV. Imagine how difficult it would be for a school pupil to remember it!The Arabs, however, call their numbers “Indian numerals”. This is probably because they got the original idea a long time ago from India. There were no printed newspapers or scientific magazine then, so mathematics traveled along the same routes that silk did, as businessmen sold and bought goods. The Arabs took the new numbers and made improvements that quickly led to advances in technology.The achievement of Arabic technology can be seen from a passage in a 10th-century book about an Arabic city:” The neighboring country showed the results of careful work in agriculture, trade, and industry. Rice and many other plants were grown in fields with water supplied by Arab engineers. The city included 900 public baths, stone-covered streets, fountains, and beautiful buildings.” At this time, London was a small town with dirty streets, and Berlin was a farming village. In fact, cities outside the Arab world did not reach the same level of social development until centuries later.16. This passage tells us that the Arabs were a people _______________.A. inventing Roman numeralsB. having advanced technology long agoC. growing corn and many other plants thenD. supplying other countries with colorful silk17. It takes much more efforts to ___________.A. learn Roman numerals than Arab numeralsB. introduce numerals through printed materialsC. make great use of silk roadsD. teach businessmen numerals18. The Arabs call their numerals “ Indian numerals” because _________.A. the numerals are mainly used in ChinaB. they copied numerals from IndiansC. Arabic numerals were first used by Indian businessmenD. they got some ideas about number from the ancient Indians19. According to the passage, the Arab people ___________.A. did business with the IndiansB. learned some ideas about business from IndiansC. built public baths in London in the 10th centuryD. traveled a long way to learn mathematics in Rome20. From a 10th-century book, we can learn that ___________.A. Berlin was formerly a dirty with sufficient rice and plantsB. London was under the rule of the Romans in the 10th centuryC. the Arab world was more advanced than other countries aroundD. London chiefly developed industry ten centuries agoPart II Vocabulary and Structure (共40小题,每小题1分,共40分)Directions: There are 40 incomplete sentences in this part. For each sentence there are 4 choices marked A, B, C and D. Choose the ONE that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.21. Jessica ought to stop working; she has a headache because she __________ too long.A. readsB. is readingC. has been readingD. had read22. __________ us harm or good remains to be seen in the near future.A. If it will doB. Whether it will doC. That it will doD. What it will do23. Able-bodied people just don’t realize how difficult it is _________ good jobs.A. of disabled people to getB. of disabled people gettingC. for disabled people to getD. for disabled people getting24. I’ll go camping with you if I ___________ free tomorrow.A. amB. will beC. beingD. was25. After the concert, the rock music star ___________ hundreds of fans outside the theater.A. surrounded byB. was surrounded byC. being surrounded byD. is surrounded by26. That book is really worth _________ if you’re going to take the final examination.A. to readB. reading C .to be read D. being read27. __________ surprised me most was _________ such a little boy of seven could play the violin so well.A. That; whatB. That; whatC. What; thatD. What; what28. Staying in a hotel cost ________ renting a room in an apartment for a week.A. twice many thanB. twice as much asC. twice the same asD. twice as many as29. It is ________ that we’d like to go out for a walk.A. a lovely dayB. too lovely a dayC. so lovely a dayD. such lovely a day30. I can’t find my iPhone 5 in the dormitory. It __________ by somebody.A. must have taken awayB. may have taken awayC. may take awayD. must have been taken away31. When Mr. Smith got there, he found that about ___________ of his friends had been incited.A. twenty-thirdB. two-thirdC. two-thirdsD. twenty-thirds32. In 2012, Mo Yan became the first Chinese writer _________ won the Nobel Prize for Literature.A. thatB. whomC. whoseD. which33. I didn’t see you at the meeting. If you had come, you _________ our sales manager.A. would meetB. would have metC. will have metD. had met34. Ladies and gentlemen! It’s my pleasure __________ Mr. Li, our new Premier to you all.A. introducingB. introduceC. to be introducingD. to introduce35. The audience burst into applause ___________ the singer finished her song.A. after momentB. in a momentC. the momentD. for a moment36. “ Where is the girl we talked about yesterday?”“Look! Here ___________.”A. she comes B . comes she C. she came D. came she37. The number of employees at the factory __________ to a minimum so as to lower production costs.A. is cuttingB. are cuttingC. has been cutD. have been cut38. Many young people nowadays make _________ a rule to buy flower and chocolate for their lovers on Valentine’s Day.A. themselvesB. itC. themD. this39. Dr. Green, together with his wife and two daughters, __________ to arrive in Nanjing tonight.A. will beB. is C .are D. are going40. His father has been suffering from lung cancer for half a year, so the doctor Suggest that he ___________ an operation as soon as possible.A. takesB. would takeC. tookD. should take41. Being out of work, Jane can no longer __________ her friends to dinners as she used to.A. urgeB. treatC. attractD. apply42. It’s a great pity that the girl _________ halfway and dropped out of the competition.A. gave offB. gave outC. gave overD. gave up43. The fact that something is cheap doesn’t _________ mean it is of low quality.A. especiallyB. practicallyC. necessarilyD. specially44. In learning English, many students ___________ an e-dictionary to a paper one.A. likeB. expectC. preferD. respect45. The personnel manager will __________ the applications and pick out the best.A. look upB. look afterC. look outD. look through46. Seventy percent approved ________ the way she handled the situation while thirty percent disapproved.A. withB. aboutC. ofD. up47. The price of houses goes up again, partly _________ the requirement of young people.A. in result ofB. withC. becauseD. due to48. They decided to ___________ the contract because a number of the conditions had not been met.A. attendB. argueC. controlD. cancel49. __________ your English gets better, you’ll begin to feel more comfortable studying in Canada.A. OnceB. As far asC. WhereasD. For50. Although I told him to be careful over and over again, he never took any__________ of what I said.A. attentionB. warningC. noticeD. observation51. Freshmen are usually __________ about everything when they first come to the college.A. troublesomeB. curiousC. differentD. familiar52. Salina came home so thin and weak that her family could hardly ________ her.A. remindB. recognizeC. rememberD. understand53. The manager explained that they didn’t__________ people to bring theirs pets into therestaurant.A. allowB. letC. makeD. have54. ___________ I go, I always seem to bump into him.A. WhateverB. WhereverC. HoweverD. Somehow55. Our working hours are _________, we can go to work in the morning or in the afternoon.A. floatingB. efficientC. flexibleD. personal56. To a great __________, the way you learn at college is different from that when you were in high school.A. amountB. extentC. reasonD. goal57. A skilled tennis player knows how to __________ his competitor’s weakness so as to get the final victory.A. beatB. take risk ofC. defeatD. take advantage of58. Try this camera, you’ll find it can be ___________ to take pictures in cloudy conditions.A. adjustedB. treatedC. adoptedD. removed59. Being short of food and fuel, we are _________ with a very difficult situation.A. handledB. madeC. facedD. encouraged60. John was late for class again, but he couldn’t _________ his lateness.A. count forB. account forC. count onD. account onPart III Cloze(共20小题,每小题1分,共20分)Directions: There are 20 blanks in the following passage. For each blank there are 4 choices marked A, B, C and D. You should choose the ONE that best fits into the context. Then mark the corresponding letter on the Answer Sheet with a single line through the center.Smoking is considered dangerous to the health. Our tobacco-seller Mr. Johnson, therefore always asking his customers if they are very young, whom the cigarettes are bought __61__. One day, a little girl whom he had never seen before walked boldly __62__ his shop and demanded twenty cigarettes. She had the large __63__ of money in her hand and seemed very ___64___ herself. Mr. Johnson was so __65___ by her confident manner that he __66___ to ask his usual question. ___67___, he asked her what kind of cigarettes she wanted. The girl ___68___ readily and handed him the money. While he was giving her the __69___, Mr. Johson said laughingly that as she was so __70___ she should ___71___ the packet(小盒) in her pocket in __72___ a policeman saw it. However, the little girl did not seem to ___73____ this very funny. Without ___74__ she took the __75___ and walked towards the door. Suddenly she stopped, turned __76___ and looked steadily at Mr. Johnson. __77___ was a moment of silence and the tobacco-seller wondered ___78____ she was going to say. And at once, in a clear, joking ___79__, the girl declared, “___80__ dad is a policeman,” and with that she walked quickly out of the shop.61. A. with B. to C. by D. for62. A. with B. for C. into D. down63. A. amount B. quality C. bits D. part64. A. since B. of C. without D. against65. A. worried B. interested C. surprised D. pleased66. A. forgot B. came C. went D. dreamed67. A. Therefore B. Instead C. Somehow D. Anyhow68. A. Replied B. Screamed C. spoke D. talked69. A. change B. warning C. cheque D. advice70. A. old B. young C. amazed D. excited71. A. hide B. throw C. tip D. take72. A. way B. peace C. case D. end73. A. search B. get C. pass D. find74. A. look B. looked C. smiling D. smiled75. A. packet B. clothes C. knife D. bill76. A. way B. over C. round D. aside77. A. They B. She C. There D. He78. A. where B. what C. when D. if79. A. words B. voice C. sound D. statement80. A. The B. For C. As D. MyPart IV Translation(共35分)Section A (共5小题,每小题4分,共20分)Directions: Translate the following sentences into Chinese. You may refer to the corresponding passages in Part I.81. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. (Passage One)82. A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. (Passage Two)83. She then wrote many articles about the poor treatment of patients in those hospitals where madmen were kept. (Passage Three)84. The Arabs took the new numbers and made improvements that quickly led to advances in technology. (Passage Four)85. In fact, cities outside the Arab world did not reach the same level of social development until centuries later. (Passage Four)Section B (共5小题,每小题3分,共15分)Directions: Translate the following sentences into English.86. 根据以往的经验,他可能赢得这场比赛。
2013年江苏地区普通高校“专转本”英语统一考试试卷
2013年江苏省普通高校“专转本”英语统一考试试卷Part I Reading Comprehension (共20小题,每小题2分,共40分) Directions: There are 4 passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are 4 choices marked A, B, C and D. You should decide on the best choice and mark the corresponding letter on the Answer Sheet with a single line through the center.Passage OneQuestions 1 to 5 are based on the following passage.When Mrs. Joseph Groeger died recently in Vienna, Austria, people asked the obvious question. “Why did she live to be 107?”Answers were provided by a survey conducted among 148 Viennese men and women who had reached the age of 100. What was surprising was that the majority had lived most of their lives in cities. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. One factor seems to be important to the longevity(长寿) of those interviewed.This factor is exercise. In the cities it is often faster to walk short distances than to wait for a bus. Even taking public transportation often requires some walking. Smaller apartment houses have no elevators, and so people must climb stairs. City people can usually walk to local supermarkets. Since parking spaces are hard to find, there is often no choice but to walk.On the other hand, those who live in the country and suburbs do not have towalk every day. In fact, the opposite is often true. To go to school, work, or almost anywhere else, they must ride in cars.1.The Vienna survey may help to explain __________.A.the complaints of people in apartment housesB.the causes of Mrs. Groeger’s deathC.the longevity of people like Mrs. GroegerD.the image of cities in general2.The second paragraph lists some ___________.A.disadvantage of walkingB.occasions for walking in city lifeC.problems of city livingments made by city people3.To reach the third floor of a building, it would probably be most healthful___________.A.to take the elevatorB.to walk up the stairsC.to ride in a carD.to find an alternative walking4.People who live in the country usually do more driving than walking because___________.A.they don’t live near business areasB.they don’t need exerciseC.they don’t like walkingD.they can’t afford to take the bus5.We can draw a conclusion from this passage that _________.A.air pollution is not seriousB.anyone can live to be 107C.country people should move to citiesD.walking is a healthful exercisePassage TwoQuestions 6 to 10 are based on the following passage.The Bedouin people, a tribe living in the deserts of Arabia and Northern African, think most highly of people who show loyalty. T o them loyalty does not mean that one is devoted to a country, a place, or a leader. Loyalty means being faithful to one’s family and tribe.The Bedouin people are proud of their ancestors(祖先). They do not admire a hero from an ordinary or poor family as much as one who comes from an honored family. They especially respect those who have inherited(继承) a good family name and then have passed it on to their children.A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. If they are honored, he is also honored. If they are disagreed, he, too, is disgraced. Therefore, one carefully guards the honor of his family and his tribe.A man can protect his family’s honors by being brave and generous and by giving protection to those who ask for it. He also guards it by carefully watching the women of his family.A Bedouin woman cannot bring honor to her family, but she can bring disgrace. Even if a woman only looks as if she has done something wrong, she may be killed. The honor of her family depends upon her virtue(美德).6. The best title for this passage can be __________.A. Life of the Bedouin PeopleB. Women’s Position in the Bedouin FamilyC. Bedouin People’s Idea of Loyalty and HonorD. How to Guard Honors7. The Bedouin people think most highly of one who is ______.A. devoted to his country and his leaderB. from an ordinary familyC. proud of his ancestor and relativesD. faithful to his family and tribe8. It is learned from the passage that ___________.A. a hero from an honored family is more admiredB. one can not live in the tribe without a good family nameC. all the Bedouin people are kind, brave and generousD. family traditions can never be passed to children9. The word “disgraced”(Para. 3) means “__________”.A. disappearedB. disappointedC. dishonoredD. discouraged10. It is implied in the passage that the Bedouin women are __________.A. treated as the equals of menB. respected for what they doC. not interested in positionD. not respected as much as menPassage ThreeQuestions 11 to 15 are based on the following passage.Up until about 100 years ago, newspaper in the United States attracted only the most serious readers. They used no illustrations (插图) and the articles were about politics or business.Two men changed that---Joseph Pulitzer of the New York World and William Randolph Hearst of the New York Journal. Pulitzer bought the New York World in 1883. He changed it from a traditional newspaper into a very exciting one overnight. He added lots of illustrations and he told his reporters to write articles on every crime they could find. And they did. One woman reporter even pretended she was mad and was sent to a hospital. She then wrote many articles about the poor treatment of patients in those hospitals where madmen were kept. In 1895, Hearstcame to New York from California. He wanted the Journal to be more exciting than the World. He also wanted it to be cheaper, so he lowered the price by a penny. Hearst attracted attention because his newspaper heading were bigger than any one else’s. He often said, “Big print makes big news.”Pulitzer and Hearst did anything they could to sell newspaper. For example, Hearst sent Frederic Remington, the famous illustrator, to draw pictures of the Spanish-American War. When he got there, he told Hearst that no fighting was going on. Hearst answered, “You provide the pictures. I’ll provide the war.11. About a century ago, American newspaper carried news about __________.A. all kinds of exciting newsB. crimes and mad peopleC. the poor treatment of patientsD. serious matters only12. According to Paragraph 2, which of the following statements is TRUE?A. Pulitzer and a woman news reporter changed the world overnight.B. Pulitzer bought the Journal with the help of his reporter.C. A woman news reporter pretended to be mad.D. A woman reporter became mad and was sent to a hospital.13. Hearst attracted readers’attention by ______________.A. using bigger headingsB. reporting big war newsC. raising the price of the newspaperD. reporting politics and business only14. __________ was asked to draw war pictures.A. HearstB. RemingtonC. PulitzerD. A woman reporter15. This passage tells us that ________.A. Pulitzer and Hearst were the most famous reporters of the United StatesB. newspaper owners sometimes hired mad men as their news reportersC. the world and the journal were not popular newspaper at that timeD. Pulitzer and Hearst used every possible means to win over each otherPassage FourQuestions 16 to 20 are based on the following passage.It is hard to imagine life without Arabic numbers(数字). No other number system ever invented has a simple way to write a number like 1984. In Roman numeral, it comes out like this MCMLXXXIV. Imagine how difficult it would be for a school pupil to remember it!The Arabs, however, call their numbers “Indian numerals”. This is probably because they got the original idea a long time ago from India. There were no printed newspapers or scientific magazine then, so mathematics traveled along the same routes that silk did, as businessmen sold and bought goods. The Arabs tookthe new numbers and made improvements that quickly led to advances in technology.The achievement of Arabic technology can be seen from a passage in a 10th-century book about an Arabic city:”The neighboring country showed the results of careful work in agriculture, trade, and industry. Rice and many other plants were grown in fields with water supplied by Arab engineers. The city included 900 public baths, stone-covered streets, fountains, and beautiful buildings.”At this time, London was a small town with dirty streets, and Berlin was a farming village. In fact, cities outside the Arab world did not reach the same level of social development until centuries later.16. This passage tells us that the Arabs were a people _______________.A. inventing Roman numeralsB. having advanced technology long agoC. growing corn and many other plants thenD. supplying other countries with colorful silk17. It takes much more efforts to ___________.A. learn Roman numerals than Arab numeralsB. introduce numerals through printed materialsC. make great use of silk roadsD. teach businessmen numerals18. The Arabs call their numerals “Indian numerals”because _________.A. the numerals are mainly used in ChinaB. they copied numerals from IndiansC. Arabic numerals were first used by Indian businessmenD. they got some ideas about number from the ancient Indians19. According to the passage, the Arab people ___________.A. did business with the IndiansB. learned some ideas about business from IndiansC. built public baths in London in the 10th centuryD. traveled a long way to learn mathematics in Rome20. From a 10th-century book, we can learn that ___________.A. Berlin was formerly a dirty with sufficient rice and plantsB. London was under the rule of the Romans in the 10th centuryC. the Arab world was more advanced than other countries aroundD. London chiefly developed industry ten centuries agoPart II Vocabulary and Structure (共40小题,每小题1分,共40分)Directions: There are 40 incomplete sentences in this part. For each sentence there are 4 choices marked A, B, C and D. Choose the ONE that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.21. Jessica ought to stop working; she has a headache because she __________ too long.A. readsB. is readingC. has been readingD. had read22. __________ us harm or good remains to be seen in the near future.A. If it will doB. Whether it will doC. That it will doD. What it will do23. Able-bodied people just don’t realize how difficult it is _________ good jobs.A. of disabled people to getB. of disabled people gettingC. for disabled people to getD. for disabled people getting24. I’ll go camping with you if I ___________ free tomorrow.A. amB. will beC. beingD. was25. After the concert, the rock music star ___________ hundreds of fans outside the theater.A. surrounded byB. was surrounded byC. being surrounded byD. is surrounded by26. That book is really worth _________ if you’re going to take the final examination.A. to readB. reading C .to be read D. being read27. __________ surprised me most was _________ such a little boy of seven could play the violin so well.A. That; whatB. That; whatC. What; thatD. What; what28. Staying in a hotel cost ________ renting a room in an apartment for a week.A. twice many thanB. twice as much asC. twice the same asD. twice as many as29. It is ________ that we’d like to go out for a walk.A. a lovely dayB. too lovely a dayC. so lovely a dayD. such lovelya day30. I can’t find my iPhone 5 in the dormitory. It __________ by somebody.A. must have taken awayB. may have taken awayC. may take awayD. must have been taken away31. When Mr. Smith got there, he found that about ___________ of his friends had been incited.A. twenty-thirdB. two-thirdC. two-thirdsD. twenty-thirds32. In 2012, Mo Yan became the first Chinese writer _________ won the Nobel Prize for Literature.A. thatB. whomC. whoseD. which33. I didn’t see you at the meeting. If you had come, you _________ our sales manager.A. would meetB. would have metC. will have metD. had met34. Ladies and gentlemen! It’s my pleasure __________ Mr. Li, our new Premier to you all.A. introducingB. introduceC. to be introducingD. to introduce35. The audience burst into applause ___________ the singer finished her song.A. after momentB. in a momentC. the momentD. for amoment36. “Where is the girl we talked about yesterday?”“Look! Here ___________.”A. she comes B . comes she C. she came D. came she37. The number of employees at the factory __________ to a minimum so as to lower production costs.A. is cuttingB. are cuttingC. has been cutD. have been cut38. Many young people nowadays make _________ a rule to buy flower and chocolate for their lovers on Valentine’s Day.A. themselvesB. itC. themD. this39. Dr. Green, together with his wife and two daughters, __________ to arrive in Nanjing tonight.A. will beB. is C .are D. are going40. His father has been suffering from lung cancer for half a year, so the doctor Suggest that he ___________ an operation as soon as possible.A. takesB. would takeC. tookD. should take41. Being out of work, Jane can no longer __________ her friends to dinners as she used to.A. urgeB. treatC. attractD. apply42. It’s a great pity that the girl _________ halfway and dropped out of the competition.A. gave offB. gave outC. gave overD. gave up43. The fact that something is cheap doesn’t _________ mean it is of low quality.A. especiallyB. practicallyC. necessarilyD. specially44. In learning English, many students ___________ an e-dictionary to a paper one.A. likeB. expectC. preferD. respect45. The personnel manager will __________ the applications and pick out the best.A. look upB. look afterC. look outD. look through46. Seventy percent approved ________ the way she handled the situation while thirty percent disapproved.A. withB. aboutC. ofD. up47. The price of houses goes up again, partly _________ the requirement of young people.A. in result ofB. withC. becauseD. due to48. They decided to ___________ the contract because a number of the conditions had not been met.A. attendB. argueC. controlD. cancel49. __________ your English gets better, you’ll begin to feel more comfortable studying in Canada.A. OnceB. As far asC. WhereasD. For50. Although I told him to be careful over and over again, he never took any__________ of what I said.A. attentionB. warningC. noticeD. observation51. Freshmen are usually __________ about everything when they first come to the college.A. troublesomeB. curiousC. differentD. familiar52. Salina came home so thin and weak that her family could hardly ________ her.A. remindB. recognizeC. rememberD. understand53. The manager explained that they didn’t __________ people to bring theirs pets into the restaurant.A. allowB. letC. makeD. have54. ___________ I go, I always seem to bump into him.A. WhateverB. WhereverC. HoweverD. Somehow55. Our working hours are _________, we can go to work in the morning or in the afternoon.A. floatingB. efficientC. flexibleD. personal56. To a great __________, the way you learn at college is different from that when you were in high school.A. amountB. extentC. reasonD. goal57. A skilled tennis player knows how to __________ his competitor’s weakness so as to get the final victory.A. beatB. take risk ofC. defeatD. take advantage of58. Try this camera, you’ll find it can be ___________ to take pictures in cloudy conditions.A. adjustedB. treatedC. adoptedD. removed59. Being short of food and fuel, we are _________ with a very difficult situation.A. handledB. madeC. facedD. encouraged60. John was late for class again, but he couldn’t _________ his lateness.A. count forB. account forC. count onD. account onPart III Cloze(共20小题,每小题1分,共20分)Directions: There are 20 blanks in the following passage. For each blank there are 4 choices marked A, B, C and D. You should choose the ONE that best fits into the context. Then mark the corresponding letter on the Answer Sheet with a single line through the center.Smoking is considered dangerous to the health. Our tobacco-seller Mr. Johnson, therefore always asking his customers if they are very young, whom thecigarettes are bought __61__. One day, a little girl whom he had never seen before walked boldly __62__ his shop and demanded twenty cigarettes. She had the large __63__ of money in her hand and seemed very ___64___ herself. Mr. Johnson was so __65___ by her confident manner that he __66___ to ask his usual question. ___67___, he asked her what kind of cigarettes she wanted. The girl ___68___ readily and handed him the money. While he was giving her the __69___, Mr. Johson said laughingly that as she was so __70___ she should ___71___ the packet(小盒) in her pocket in __72___ a policeman saw it. However, the little girl did not seem to ___73____ this very funny. Without ___74__ she took the __75___ and walked towards the door. Suddenly she stopped, turned __76___ and looked steadily at Mr. Johnson. __77___ was a moment of silence and the tobacco-seller wondered ___78____ she was going to say. And at once, in a clear, joking ___79__, the girl declared, “___80__ dad is a policeman,”and with that she walked quickly out of the shop.61. A. with B. to C. by D. for62. A. with B. for C. into D. down63. A. amount B. quality C. bits D. part64. A. since B. of C. without D. against65. A. worried B. interested C. surprised D. pleased66. A. forgot B. came C. went D. dreamed67. A. Therefore B. Instead C. Somehow D. Anyhow68. A. Replied B. Screamed C. spoke D. talked69. A. change B. warning C. cheque D. advice70. A. old B. young C. amazed D. excited71. A. hide B. throw C. tip D. take72. A. way B. peace C. case D. end73. A. search B. get C. pass D. find74. A. look B. looked C. smiling D. smiled75. A. packet B. clothes C. knife D. bill76. A. way B. over C. round D. aside77. A. They B. She C. There D. He78. A. where B. what C. when D. if79. A. words B. voice C. sound D. statement80. A. The B. For C. As D. MyPart IV Translation(共35分)Section A (共5小题,每小题4分,共20分)Directions: Translate the following sentences into Chinese. You may refer to the corresponding passages in Part I.81. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. (Passage One)82. A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. (Passage Two)83. She then wrote many articles about the poor treatment of patients in those hospitals where madmen were kept. (Passage Three)84. The Arabs took the new numbers and made improvements that quickly led to advances in technology. (Passage Four)85. In fact, cities outside the Arab world did not reach the same level of social development until centuries later. (Passage Four)Section B (共5小题,每小题3分,共15分)Directions: Translate the following sentences into English.86. 根据以往的经验,他可能赢得这场比赛。
2013年专转本高等数学试卷及答案解析
A.任意实数
B. ln 2
C. 2
D. 0
二、填空题(本大题共 6 小题,每小题 4 分,满分 24 分)
7.设函数
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f
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=
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.
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(1)试求 D1 绕 x 轴旋转而成的旋转体体积V1 ; D2 绕 y 轴旋转而成的
旋转体体积V2 ;
(2)问当 a 为何值时,V1 +V2 取得最大值?试求此最大值.
22.设函数 f (x) 在 (0, +∞) 内连续, f (1) = 5 ,且对所有 x,t ∈ (0, +∞) ,满足
2
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20.求非齐次微分方程 y′′ − 3y′ + 2 y = xex 的通解.
四、综合题(本大题共 2 小题,每小题 10 分,满分 20 分)
21.设函数 f (x) = 2x3 − 3x2 −12x +13 ,试求:
(1)函数 f (x) 的单调区间与极值;
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.
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2013年江苏专转本(高等数学)真题试卷(题后含答案及解析)
2013年江苏专转本(高等数学)真题试卷(题后含答案及解析) 题型有:1. 选择题 2. 填空题 4. 解答题 5. 综合题 6. 证明题选择题在每小题给出的四个选项中,只有一项是符合要求的。
1.当x→0时,函数f(x)=ln(1+x)-x是函数g(x)=x2的( )A.高阶无穷小B.低阶无穷小C.同阶无穷小D.等价无穷小正确答案:C解析:由题意故选C.2.曲线y=的渐近线共有( )A.1条B.2条C.3条D.4条正确答案:C解析:当x→1和x→2时,有y→∞有2条垂直渐近线,当x→∞时,y=2所以有一条水平渐近线,故选C.3.设f(x)=则点x=0是函数f(x)的( )A.跳跃间断点B.可去间断点C.无穷间断点D.连续点正确答案:B解析:在0点左极限,等于右极限.4.设y=f(x2),其中f具有二阶导数,则=( )A.2xf2(x2)+2f2(x2)B.4x2f2(x2)+2f2(x2)C.4xf2(x2)+2f2(x2)D.4x2f2(x2)正确答案:B解析:y’=2f’(x2).2x,y”=2f”(x2)+42f”(x2).故选B.5.下列极数中收敛的是( )A.B.C.D.正确答案:D解析:A:P级数收敛,调和级数发散,所以相加仍为发散.选项B:选项C:选项D:故选D.6.已知函数f(x)在点x=1处连续,且,则曲线y=f(x)在点(1,f(1))处的切线方程为( )A.y=x-1B.y=2x-2C.y=3x-3D.y=4x-4正确答案:A解析:因为f(x)在点x=1处连续,即f’(x)=1,f(1)=0即k=f’(1)=1,在点[1,f(x)]处的切线方线为y=x-1,故选A填空题7.设f(x)=在点x=0处连续,则常数a=______.正确答案:0解析:(无穷小有界函数仍为无穷小)因为在0处连续故8.已知空间三点A(1,1,1),B(2,3,4),C(3,4,5),则△ABC的面积为______.正确答案:解析:由题意因为=-i+2j.k=(-1,2,-1),所以9.设函数y=y(x)由参数方程所确定,则_____.正确答案:解析:10.设=c,则常数c=______.正确答案:2解析:等式左边=当a=2时,左边=右边.11.微分方程的通解为______.正确答案:y=xlnx+Cx解析:y’=u+xu’代入原式①得u+xu’=1+u,xu’=1,两边积分得u=lnx+C,把U=代入得y=lnx+Cx.12.幂级数的收敛数为______.正确答案:解析:解答题解答时应写出推理、演算步骤。
05-13年 江苏专转本计算机 真题与答案
2005-2013年江苏专转本计算机历年真题目录2005年“专转本”计算机应用基础统一考试试题 (2)2006年“专转本”计算机应用基础统一考试试题 (9)2007年“专转本”计算机应用基础统一考试试题 (15)2008年“专转本”计算机应用基础统一考试试题 (23)2009年“专转本”计算机应用基础统一考试试题 (32)2010年“专转本”计算机应用基础统一考试试题 (40)2011年“专转本”计算机应用基础统一考试试题 (49)2012年普通高校专转本选拔考试计算机基础 (57)2013年普通高校专转本选拔考试计算机基础 (64)2005年“专转本”计算机应用基础统一考试试题(考试时间90分钟,满分100分)一、单项选择题1.基于冯·诺依曼提出的存储程序控制原理的计算机系统,其硬件基本结构包括:、控制器、存储器、输入设备和输出设备。
A. 显示器B. 运算器C. 磁盘驱动器D. 键盘2.在下列字符中,其ASCⅡ码值最大的一个是。
A. 5B. 6C. XD. Y3. 能将高级语言源程序转换成目标程序。
A.解释程序B. 编辑程序C. 编译程序D. 调试程序4. 用浮点数表示任意一个数据时,可通过改变浮点数的部分的大小,能使小数位置产生移动。
A. 基数B. 阶码C. 尾数D. 有效数字5. 二进制数01011010扩大成2倍是。
A. 10110100B. 10101100C. 10011100D. 100110106. 微型计算机系统的CPU、存储器和外部设备之间采用总线连接。
总线通常由三部分组成。
A. 地址总线、数据总线和系统总线B. 系统总线、数据总线和控制总线C. 地址总线、数据总线和控制总线D. 地址总线、系统总线和控制总线7. 在下列一组数中,其最大的一个数是。
A. (10101000)BB. (A9)HC. (78)OD. (75)D8. 3.5英寸的软盘的总容量为。
A. 80磁道ⅹ9扇区ⅹ1024字节/扇区ⅹ2B. 40磁道ⅹ18扇区ⅹ1024字节/扇区ⅹ2C. 40磁道ⅹ18扇区ⅹ512字节/扇区ⅹ2D. 80磁道ⅹ18扇区ⅹ512字节/扇区ⅹ29. 用8位补码表示整数—126的机器码,算术右移一位后的结果是。
2013年江苏专转本考试英语试题
系别 年级 学制 班级 姓名 学号----------------------------装--------------------------订----------------------线-----------------------------Part I Reading Comprehension (20×2’=40’)Directions: There are 4 passages in this part. Each passage is followed by some questions or unfinishedstatements. For each of them there are 4 choices marked A, B, C, and D. You should decide on the best choice and mark the corresponding letter on the Answer Sheet with a single line through the center. Passage OneQuestions 1 to 5 are based on the following passage.When Mrs. Joseph Groeger died recently in Vienna, Austria, people asked the obvious question, “Whyd id she live to be 107?” Answers were provided by a survey conducted among 148 Viennese men and women who had reached the age of 100. What was surprising was that the majority had lived most of their lives in cities. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. One factor seems to be important to the longevity (长寿) of those interviewed.This factor is exercise. In the cities it is often faster to walk short distances than to wait for a bus. Even taking public transportation often requires some walking. Smaller apartment houses have no elevators, and so people must climb stairs. City people can usually walk to local supermarkets. Since parking spaces are hard to find, there is often no choice but to walk.On the other hand, those who live in the country and suburbs do not have to walk every day. In fact, the opposite is often true. To go to school, work, or almost anywhere else, they must ride in cars. 1. The Vienna survey may help to explain __________.A. the complaints of people in apartment housesB. the causes of Mrs. Groeger ’s deathC. the longevity of people like Mrs. GroegerD. the image of cities in general 2. The second paragraph lists some ___________.A. disadvantage of walkingB. occasions for walking in city lifeC. problems of city livingD. comments made by city people 3. To reach the third floor of a building, it would probably be most healthful ___________. A. to take the elevator B. to walk up the stairs C. to ride in a car D. to find an alternative walking 4. People who live in the country usually do more driving than walking because ___________.A. they don ’t live near business areasB. they don ’t need exerciseC. they don ’t like walkingD. they can ’t afford to take the bus5. We can draw a conclusion from this passage that _________.A. air pollution is not seriousB. anyone can live to be 107C. country people should move to citiesD. walking is a healthful exercise Passage TwoQuestions 6 to 10 are based on the following passage.The Bedouin people, a tribe living in the deserts of Arabia and Northern African, think most highly of people who show loyalty. To them loyalty does not mean that one is devoted to a country, a place, or a leader. Loyalty means being faithful to one ’s family and tribe.The Bedouin people are proud of their ancestors (祖先). They do not admire a hero from an ordinary or poor family as much as one who comes from an honored family. They especially respect those who have inherited (继承) a good family name and then have passed it on to their children.A man ’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. If theyare honored, he is also honored. If they are disagreed, he, too, is disgraced. Therefore, one carefully guardsthe honor of his family and his tribe. A man can protect his family ’s honors by being brave and generous and by giving protection to those who ask for it. He also guards it by carefully watching the women of his family.A Bedouin woman cannot bring honor to her family, but she can bring disgrace. Even if a woman onlylooks as if she has done something wrong, she may be killed. The honor of her family depends upon her virtue (美德).6. The best title for this passage can be __________. A. Life of the Bedouin People B. Women ’s Position in the Bedouin Family C. Bedouin People ’s Idea of Loyalty and Honor D. How to Guard Honors7. The Bedouin people think most highly of one who is ______.A. devoted to his country and his leaderB. from an ordinary familyC. proud of his ancestor and relativesD. faithful to his family and tribe 8. It is learned from the passage that ___________.A. a hero from an honored family is more admiredB. one can not live in the tribe without a good family nameC. all the Bedouin people are kind, brave and generousD. family traditions can never be passed to children 9. The word “disgraced ” (Para. 3) means “______________”.A. disappearedB. disappointedC. dishonoredD. discouraged 10. It is implied in the passage that the Bedouin women are __________.A. treated as the equals of menB. respected for what they doC. not interested in positionD. not respected as much as men Passage ThreeQuestions 11 to 15 are based on the following passage.Up until about 100 years ago, newspaper in the United States attracted only the most serious readers. They used no illustrations (插图) and the articles were about politics or business.Two men changed that--Joseph Pulitzer of the New York World and William Randolph Hearst of the New York Journal. Pulitzer bought the New York World in 1883. He changed it from a traditional newspaper into a very exciting one overnight. He added lots of illustrations and he told his reporters to write articles on every crime they could find. And they did. One woman reporter even pretended she was mad and was sent to a hospital. She then wrote many articles about the poor treatment of patients in those hospitals wheremadmen were kept. In 1895, Hearst came to New York from California. He wanted the Journal to be more exciting than the World. He also wanted it to be cheaper, so he lowered the price by a penny. Hearst attracted attention because his newspaper heading were bigger than anyone else ’s. He often said, “Big print makes bignews.” Pulitzer and Hearst did anything they could to sell newspaper. For example, Hearst sent Frederic系别 年级 学制 班级 姓名 学号----------------------------装--------------------------订----------------------线-----------------------------Remington, the famous illustrator, to draw pictures of the Spanish-American War. When he got there, he toldHearst that no fighting was going on. Hearst answered, “ You provide the pictures. I ’ll provide the war. 11. About a century ago, American newspaper carried news about __________. A. all kinds of exciting news B. crimes and mad people C. the poor treatment of patients D. serious matters only 12. According to Paragraph 2, which of the following statements is TRUE? A. Pulitzer and a woman news reporter changed the world overnight. B. Pulitzer bought the Journal with the help of his reporter. C. A woman news reporter pretended to be mad.D. A woman reporter became mad and was sent to a hospital. 13. Hearst attracted readers ’ attention by ______________.A. using bigger headingsB. reporting big war newsC. raising the price of the newspaperD. reporting politics and business only 14. __________ was asked to draw war pictures.A. HearstB. RemingtonC. PulitzerD. A woman reporter 15. This passage tells us that ________.A. Pulitzer and Hearst were the most famous reporters of the United StatesB. newspaper owners sometimes hired mad men as their news reportersC. the world and the journal were not popular newspaper at that timeD. Pulitzer and Hearst used every possible means to win over each other Passage FourQuestions 16 to 20 are based on the following passage.It is hard to imagine life without Arabic numbers(数字). No other number system ever invented has a simple way to write a number like 1984. In Roman numeral, it comes out like this MCMLXXXIV . Imagine how difficult it would be for a school pupil to remember it!The Arabs, however, call their numbers “Indian numerals ”. This is probably because they got the original idea a long time ago from India. There were no printed newspapers or scientific magazine then, somathematics traveled along the same routes that silk did, as businessmen sold and bought goods. The Arabs took the new numbers and made improvements that quickly led to advances in technology.The achievement of Arabic technology can be seen from a passage in a 10th-century book about an Arabic city:” The neighboring country showed the results of careful work in agriculture, trade, and industry. Rice and many other plants were grown in fields with water supplied by Arab engineers. The city included 900 public baths, stone-covered streets, fountains, and beautiful buildings.” At this time, London was a small town with dirty streets, and Berlin was a farming village. In fact, cities outside the Arab world did not reach the same level of social development until centuries later.16. This passage tells us that the Arabs were a people _______________.A. inventing Roman numeralsB. having advanced technology long agoC. growing corn and many other plants thenD. supplying other countries with colorful silk 17. It takes much more efforts to ___________.A. learn Roman numerals than Arab numeralsB. introduce numerals through printed materialsC. make great use of silk roadsD. teach businessmen numerals 18. The Arabs call their numerals “ Indian numerals ” because _________. A. the numerals are mainly used in China B. they copied numerals from IndiansC. Arabic numerals were first used by Indian businessmenD. they got some ideas about number from the ancient Indians 19. According to the passage, the Arab people ___________. A. did business with the IndiansB. learned some ideas about business from IndiansC. built public baths in London in the 10th centuryD. traveled a long way to learn mathematics in Rome 20. From a 10th-century book, we can learn that ___________. A. Berlin was formerly a dirty with sufficient rice and plants B. London was under the rule of the Romans in the 10th century C. the Arab world was more advanced than other countries around D. London chiefly developed industry ten centuries agoPart II Vocabulary & Structure (40×1’=40’)Directions: There are 40 incomplete sentences in this part. For each sentence there are 4 choices marked A, B, C and D. Choose the ONE that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.21. Jessica ought to stop working; she has a headache because she ____________ too long.A. readsB. is readingC. has been readingD . had read 22. _____________ us harm or good remains to be seen in the near future. A. If it will do B. Whether it will do C. That it will do D. What it will do 23. Able-bodied people just don ’t realize how difficult it is _____________ good jobs.A. of disabled people to getB. of disabled people gettingC. for disabled people to getD. for disabled people getting 24. I ’ll go camping with you if I ___________ free tomorrow.A. amB. will beC. beingD. was25. After the concert, the rock music star ___________ hundreds of fans outside the theater. A. surrounded by B. was surrounded by C. being surrounded by D. is surrounded by 26. That book is really worth ____________ if you ’re going to take the final examination.A. to readB. reading C .to be read D. being read27. __________ surprised me most was ___________ such a little boy of seven could play the violin so well. A. That; what B. That; what C. What; that D. What; what 28. Staying in a hotel cost ____________ renting a room in an apartment for a week.A. twice many thanB. twice as much asC. twice the same asD. twice as many as 29. It is ___________ that we ’d like to go out for a walk.系别 年级 学制 班级 姓名 学号----------------------------装--------------------------订----------------------线-----------------------------A. a lovely dayB. too lovely a dayC. so lovely a dayD. such lovely a day30. I can ’t find my i-Phone 5 in the dormitory. It __________ by somebody. A. must have taken away B. may have taken away C. may take away D. must have been taken away31. When Mr. Smith got there, he found that about ___________ of his friends had been incited. A. twenty-third B . two-third C. two-thirds D. twenty-thirds 32. In 2012, Mo Yan became the first Chinese writer _________ won the Nobel Prize for Literature. A. that B. whom C. whose D. which 33. I didn ’t see you at the meeting. If you had come, you _________ our sales manager. A. would meet B. would have met C. will have met D. had met 34. Ladies and gentlemen! It ’s my pleasure __________ Mr. Li, our new Premier to you all. A. introducing B. introduce C. to be introducing D . to introduce 35. The audience burst into applause ___________ the singer finished her song.A. after momentB. in a momentC. the momentD. for a moment 36. “ Where is the girl we talked about yesterday?” “Look! Here ___________.”A. she comes B . comes she C. she came D. came she37. The number of employees at the factory __________ to a minimum so as to lower production costs. A. is cutting B. are cutting C. has been cut D. have been cut 38. Many young people make ______ a rule to buy flowers and chocolate for their lovers on Valentine ’s Day. A. themselves B. it C. them D. this39. Dr. Green, together with his wife and two daughters, __________ to arrive in Nanjing tonight. A. will be B. is C .are D. are going 40. His father has been suffering from lung cancer for half a year, so the doctor Suggest that he ___________ an operation as soon as possible.A. takesB. would takeC. tookD. should take 41. Being out of work, Jane can no longer __________ her friends to dinners as she used to.A. urgeB. treatC. attract D . apply 42. It ’s a great pity that the girl _________ halfway and dropped out of the competition. A. gave off B. gave out C. gave overD. gave up 43. The fact that something is cheap doesn ’t _________ mean it is of low quality. A. especially B. practically C. necessarily D. specially 44. In learning English, many students ___________ an e-dictionary to a paper one. A. like B. expect C. prefer D. respect 45. The personnel manager will __________ the applications and pick out the best.A. look upB. look afterC. look outD. look through46. Seventy percent approved ________ the way she handled the situation while thirty percent disapproved. A. with B. about C. of D. up 47. The price of houses goes up again, partly _________ the requirement of young people.A. in result ofB. withC. becauseD. due to48. They decided to ___________ the contract because a number of the conditions had not been met. A. attend B. argue C. control D. cancel49. __________ your English gets better, you ’ll begin to feel more comfortable studying in Canada. A. Once B. As far as C. Whereas D. For50. Although I told him to be careful over and over again, he never took any__________ of what I said. A. attention B. warning C. notice D. observation 51. Freshmen are usually __________ about everything when they first come to the college. A. troublesome B. curious C. different D. familiar 52. Salina came home so thin and weak that her family could hardly ________ her. A. remind B. recognize C. remember D . understand 53. The manager explained that they didn’t __________ people to bring theirs pets into the restaurant. A. allow B. let C. make D. have 54. ___________ I go, I always seem to bump into him.A. WhateverB. WhereverC. HoweverD. Somehow 55. Our working hours are _________, we can go to work in the morning or in the afternoon. A. floating B. efficient C. flexible D . personal56. To a great __________, the way you learn at college is different from that when you were in high school. A. amount B. extent C. reason D. goal57. A skilled tennis player knows how to __________ his competitor’s weakness so as to get the final victory.A. beatB. take risk ofC. defeatD. take advantage of 58. Try this camera, you ’ll find it can be ___________ to take pictures in cloudy conditions. A. adjusted B. treated C. adopted D. removed 59. Being short of food and fuel, we are _________ with a very difficult situation.A. handledB. madeC. facedD. encouraged 60. John was late for class again, but he couldn ’t _________ his lateness.A. count forB. account forC. count onD. account onPart III Cloze (20×1’=20’)Directions: There are 20 blanks in the following passage. For each blank there are 4 choices marked A, B, C and D. You should choose the ONE that best fits into the context. Then mark the corresponding letter on the Answer Sheet with a single line through the center.If you travel around the world, you will be surprised to find that foreign customs can be different 61 your own. A visitor to India would do well to remember that people there 62 it impolite to use the left hand 63 passing food at table. The left hand is supposed to be 64 for washing yourself. Also in India, you might 65 a man apparently shaking his head at another and 66 that he is disagreeing. But in many 67 of India a shake of the head is a 68 that shows agreement or acceptance. Nodding your head when you are offered a 69 in Bulgaria is likely to leave you thirsty. In that country you shake your head to indicate “yes ”--- a nod indicates “no ”. The Arabs are 70 for their hospitality(好客). At a meal in the Arabic countries, you will 71 that any drinking vessel(器皿) is filled again 72系别 年级 学制 班级 姓名 学号----------------------------装--------------------------订----------------------线-----------------------------again as soon as you drain it. The way to 73 that you have had enough is to take the cup or glass inyour hand and give it a little shake from side to side or place your hand 74 the top.In Europe it is quite usual to 75 your legs when sitting talking to someone, even at an important meeting. Doing this when meeting an important person in Thailand, however, could 76 him or herunhappy. It is considered too informal an attitude for such 77 occasion. Also when in Thailand you are78 supposed to touch the head of an adult----it ’s just not done. In Japan, it is quite usual for 79 to plan evening entertainment for themselves and leave their wives at home. In Europe such attitudes are disappearing.Customs vary from country to 80 . Visitors ma be at a loss as to what to do in a foreign environment. In such circumstances, the rule is: When in Rome, do as the Romans do. 61. A. from B. away C. within D. in 62. A. achieve B. consider C. test D. help 63. A. for B. on C. down D. up 64. A. noticed B. used C. bought D. used 65. A. listen B. hope C. miss D. see 66. A. neglect B. think C. ignore D. inspect 67. A. countries B. people C. parts D. hills 68. A. spot B. picture C. sign D. mean 69. A. drink B. pen C. hat D. hand 70. A. interested B . terrible C. careful D. famous 71. A. examine B. watch C. find D. receive 72. A. and B. till C. also D. still 73. A. discuss B. turn C. show D. forget 74. A. in B. below C. over D. under 75. A. cross B. put C. take D. hurt 76. A. pay B. stop C. make D. point 77. A. too B. the C. a D. an78. A. not B. nor C. none D. no 79. A. men B. women C. boys D. girls 80. A. area B. place C. country D. apacePart IV Translation (35’) Section A (5×4’=20’)81. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. (Line 4, Para 1, Passage 1)82. A man ’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. (Line 1, Para 3, Passage 2)83. She then wrote many articles about the poor treatment of patients in those hospitals where madmenwere kept. (Line 5, Para 2, Passage 3)84. The Arabs took the new numbers and made improvements that quickly led to advances in technology. (Line 3, Para 2, Passage 4)85. In fact, cities outside the Arab world did not reach the same level of social development until centuries later. (Line 5, Para 3, Passage 4)Section B (5×3’=15’)86. 根据以往的经验,他可能赢得这场比赛。
2013年江苏专转本计算机真题卷及答案
绝密★启用前2013年“专转本”计算机应用基础统一考试试题由领正转本课堂倾情奉献一、判断题1.江苏高速公路上使用的ETC苏通卡是物联网技术的一种典型应用,使用这种服务的车辆在通过收费站时无需停车即可自动扣费。
该服务需要一个电子标签( RFID)作为车辆的身份标识。
2.我国自行研制的北斗导航系统是卫星通信系统的一种典型应用。
3.CPU中包含若干个寄存器用来临时存放数据。
4.BIOS主要包含四类程序:POST程序、系统自举程序、CMOS设置程序和所有外围设备的驱动程序。
5.PC机中用户实际可用的内存容量通常指RAM和ROM的容量之和。
6.通常软件生产厂商不对软件使用的正确性、精确性、可靠性和通用性做任何承诺。
7.自由软件倡导软件的非版权原则,允许用户随意拷贝、修改源代码,但不允许销售。
8.现在大多数操作系统都有网络通信功能,Linux、UNIX、Windows XP等网络操作系统还有授权、日志、计费、安全等网络管理功能。
9.通常在浏览器中可以删除用户浏览网页的历史记录、保存的密码及Cookie等信息,以保障个人信息的安全。
10. 很多城市的公共场合已覆盖Wi-Fi,Wi-Fi采用的网络通信协议是802. 11。
11.同一英文字母的大小写字符的ASCII码值相差32H。
12. DVD伴音具有5.1声道,足以实现三维环绕立体音响效果。
13.SQL语言中的WHERE子句执行的是投影操作。
14. 在Windows中,双击文件ABC. DA T,若在出现的“打开方式”对话框中设置了与某个应用程序的关联,则此后双击任何一个扩展名为.DAT的文件都会自动启动关联程序。
15. 在Windows中,桌面图标排列类型设置为“自动排列”时,无法将图标拖到桌面任意位置。
16.在Word 2003中,可以通过插入手动分页符强制分页。
17. 在Word 2003中,设置字符间距就是保持字符的高度不变,将宽度增大或减少一定的比例。
2013年江苏专转本(英语)真题试卷(题后含答案及解析)
2013年江苏专转本(英语)真题试卷(题后含答案及解析)题型有:1. V ocabulary and Structure 2. Reading Comprehension 3. Cloze 5. Translation 6. WritingV ocabulary and Structure1.Jessica ought to stop working, she has a headache because she______too long.A.readsB.is readingC.has been readingD.had read正确答案:C解析:根据句意“Jessica应该停止工作因为长时间的阅读她的头很疼”。
应使用现在完成进行时。
2.______us harm or good remains to be seen in the near future.A.If it will doB.Whether it will doC.That it will doD.What it will do正确答案:B解析:根据句意“很快就可以看出这件事对我们是有害还是有利”可知。
3.Able-bodied people just don’ t realize how difficult it is______good jobs.A.of disabled people to getB.of disabled people gettingC.for disabled people to getD.for disabied people getting正确答案:C解析:it是形式主语,后面要求用不定式或者that引导的从句表示出真实主语。
原来的形式是it is adj for sb to do sth:it is difficult for disabled people to get good jobs,此处how difficult提前作为从句引导词了。
近十年江苏省专转本高等数学试题分类整理
江苏省普通高校“专转本”统一考试高等数学专转本高数试卷结构知识分类与历年真题●函数、极限和连续●一元函数微分学●一元函数积分学●向量代数与空间解析几何●多元函数微积分●无穷级数●常微分方程时间排序与参考答案◆2004年高等数学真题参考答案◆2005年高等数学真题参考答案◆2006年高等数学真题参考答案◆2007年高等数学真题参考答案◆2008年高等数学真题参考答案◆2009年高等数学真题参考答案◆2010年高等数学真题参考答案◆2011年高等数学真题参考答案◆2012年高等数学真题参考答案◆2013年高等数学真题参考答案江苏省普通高校“专转本”统一考试高等数学试卷结构全卷满分150分一、单选题(本大题共6小题,每小题4分,满分24分) 二、填空题(本大题共6小题,每小题4分,满分24分) 三、解答题(本大题共8小题,每小题8分,满分64分) 四、综合题(本大题共2小题,每小题10分,满分20分) 五、证明题(本大题共2小题,每小题9分,满分18分)知识分类与历年真题一、函数、极限和连续(一)函数(0401)[](]333,0()0,2x x f x x x ⎧∈-⎪=⎨-∈⎪⎩是( ) A.有界函数 B.奇函数 C.偶函数 D.周期函数 (0801)设函数)(x f 在),(+∞-∞上有定义,下列函数中必为奇函数的是( )A.()y f x =-B.)(43x f x y = C.()y f x =-- D.)()(x f x f y -+= (二)极限(0402)当0→x 时,x x sin 2-是关于x 的( )A.高阶无穷小B.同阶无穷小C.低阶无穷小D.等价无穷小(0407)设xx x x f ⎪⎭⎫⎝⎛++=32)(,则=∞→)(lim x f x .(0601)若012lim2x x f x →⎛⎫ ⎪⎝⎭=,则0lim 3x xx f →=⎛⎫ ⎪⎝⎭( ) A.21 B.2C.3D.31 (0607)已知0→x 时,(1cos )a x ⋅-与x x sin 是等价无穷小,则=a .(0613)计算311lim1x x x →--. (0701)若0(2)lim2x f x x→=,则1lim 2x xf x →∞⎛⎫= ⎪⎝⎭( ) A.41B.21 C.2D.4(0702)已知当0→x 时,)1ln(22x x +是x n sin 的高阶无穷小,而x nsin 又是x cos 1-的高阶无穷小,则正整数=n ( ) A.1B.2C.3D.4(0813)求极限:32lim xx x x →∞-⎛⎫⎪⎝⎭. (0901)已知22lim32x x ax bx →++=-,则常数b a ,的取值分别为( ) A.2,1-=-=b a B.0,2=-=b aC.0,1=-=b aD.1,2-=-=b a(0907)已知lim 2xx x x C →∞⎛⎫= ⎪-⎝⎭,则常数=C . (1001)设当0x →时,()sin f x x x =-与()ng x ax =是等价无穷小,则常数,a n 的值为 ( ) A.1,36a n == B.1,33a n == C.1,412a n == D.1,46a n == (1007) 1lim 1xx x x →∞+⎛⎫= ⎪-⎝⎭. (1101)当0→x 时,函数1)(--=x e x f x是函数2)(x x g =的( ) A.高阶无穷小 B.低阶无穷小C.同阶无穷小D.等价无穷小(1107)已知22lim kxx x e x →∞-⎛⎫= ⎪⎝⎭,则=k _________. (1201)极限1sin 3lim 2sinx x x x x →∞⎛⎫+= ⎪⎝⎭( ) A.0 B.2 C.3D.5(1301)当0x →时,函数()ln(1)f x x x =+-是函数2()g x x =的( ) A.高阶无穷小 B.低阶无穷小C.同阶无穷小D.等价无穷小(1310)设10lim xx a x e a x →+⎛⎫=⎪-⎝⎭,则常数a = . (三)连续(0413)求函数xxx f sin )(=的间断点,并判断其类型. (0501)0=x 是xx x f 1sin )(=的( ) A.可去间断点B.跳跃间断点C.第二类间断点D.连续点(0513)设()2sin 0()0f x xx F x xa x +⎧≠⎪=⎨⎪=⎩在R 内连续,并满足0)0(=f ,(0)6f '=,求a . (0602)函数21sin 0()00x x f x xx ⎧≠⎪=⎨⎪=⎩在0x =处( ) A.连续但不可导B.连续且可导C.不连续也不可导D.可导但不连续(0608)若A x f x x =→)(lim 0,且)(x f 在0x x =处有定义,则当=A 时,)(x f 在0x x =处连续.(0707)设函数1(1)0()20x kx x f x x ⎧⎪+≠=⎨⎪=⎩,在点0=x 处连续,则常数=k .(0807)设函数21()(1)x f x x x -=-,则其第一类间断点为 .(0808)设函数0()tan 30a x x f x x x x+≥⎧⎪=⎨<⎪⎩在点0=x 处连续,则a = .(0902)已知函数423)(22-+-=x x x x f ,则2=x 为)(x f 的( )A.跳跃间断点B.可去间断点C.无穷间断点D.震荡间断点(1123)设210arctan ()1010sin 2ax axe x ax x x xf x x e x x ⎧---<⎪⎪⎪==⎨⎪-⎪>⎪⎩,问常数为何值时:(1)0=x 是函数)(x f 的连续点? (2)0=x 是函数)(x f 的可去间断点? (3)0=x 是函数)(x f 的跳跃间断点? (1202)设()2(2)sin ()4x xf x x x -⋅=⋅-,则函数)(x f 的第一类间断点的个数为( ) A.0 B.1C.2D.3(1207)要使函数()1()12xf x x =-在点0=x 处连续,则需补充定义(0)f =_________.(1303)设sin 20()011xx x f x x x x ⎧<⎪⎪=⎨⎪>⎪+-⎩,这点0x =是函数()f x 的( )A.跳跃间断点B.可去间断点C.无穷间断点D.连续点(1307)设1sin0()0x x f x xa x ⎧≠⎪=⎨⎪=⎩在点0x =处连续,则常数a = . 二、一元函数微分学(一) 导数与微分(0403)直线L 与x 轴平行且与曲线xe x y -=相切,则切点的坐标是( ) A.()1,1B.()1,1-C.()0,1-D.()0,1(0409)设()(1)(2)()f x x x x x n =+++,N n ∈,则=)0('f .(0415)设函数)(x y y =由方程1=-yxe y 所确定,求22d d x yx=的值.(0502)若2=x 是函数1ln 2y x ax ⎛⎫=-+ ⎪⎝⎭的可导极值点,则常数=a ( ) A.1-B.21C.21- D.1 (0514)设函数)(x y y =由方程cos sin cos x t y t t t =⎧⎨=-⎩所确定,求d d y x 、22d d yx .(0614)若函数)(x y y =是由参数方程2ln (1)arctan x t y t t⎧=+⎨=-⎩所确定,求d d y x 、22d d yx .(0708)若直线m x y +=5是曲线232++=x x y 的一条切线,则常数=m .(0714)设函数)(x y y =由方程xy e e yx=-确定,求d d x yx=、22d d x y x =.(0802)设函数)(x f 可导,则下列式子中正确的是( ) A.0(0)()lim(0)x f f x f x →-'=- B.000(2)()lim ()x f x x f x f x x→+-'=C.0000()()lim ()x f x x f x x f x x ∆→+∆--∆'=∆D.0000()()lim 2()x f x x f x x f x x∆→-∆-+∆'=∆ (0814)设函数)(x y y =由参数方程sin 1cos x t t y t =-⎧⎨=-⎩(2t n π≠,n Z ∈)所决定,求d d y x 、22d d y x .(0903)设函数00()1sin 0x f x x x x α≤⎧⎪=⎨>⎪⎩在点0=x 处可导,则常数α的取值范围为( ) A.10<<αB.10≤<αC.1>αD.1≥α(0914)设函数)(x y y =由参数方程2ln (1)23x t y t t =+⎧⎨=+-⎩所确定,d d y x 、22d d yx . (0923)已知函数0()10x e x f x x x -⎧<=⎨+≥⎩,证明函数)(x f 在点0=x 处连续但不可导.(1008).若(0)1f '=,则0()()limx f x f x x→--= .(1014)设函数()y y x =由方程2x yy ex ++=所确定,求d d y x 、22d d yx .(1022)设()0()1x x f x xx ϕ⎧≠⎪=⎨⎪=⎩,其中函数()x ϕ在0x =处具有二阶连续导数,且(0)0ϕ=,(0)1ϕ'=,证明:函数()f x 在0x =处连续且可导.(1102)设函数)(x f 在点0x 处可导,且4)()(lim 000=+--→hh x f h x f h ,则=')(0x f ( )A.4-B.2-C.2D.4(1110)设函数x y arctan=,则1d x y==_____________.(1114)设函数)(x y y =由参数方程⎪⎩⎪⎨⎧=++=22ty e tt x y 所确定,求d d y x .(1208)设函数()22221x y x x x e =⋅+++,则=)0()7(y________.(1209)设xy x =(0x >),则函数y 的微分=dy ___________.(1214)设函数)(x y y =由参数方程⎪⎩⎪⎨⎧+=-=tt y tt x ln 212所确定,求d d y x 、22d d y x . (1304)设1y f x ⎛⎫= ⎪⎝⎭,其中f 具有二阶导数,则22d d y x =( )A.231121f f x x x x ⎛⎫⎛⎫'''-+ ⎪ ⎪⎝⎭⎝⎭ B.231121f f x x x x ⎛⎫⎛⎫'''+ ⎪ ⎪⎝⎭⎝⎭ C.231121f f x x x x ⎛⎫⎛⎫'''--⎪ ⎪⎝⎭⎝⎭D.231121f f x x x x ⎛⎫⎛⎫'''-⎪ ⎪⎝⎭⎝⎭(1306)已知函数()f x 在点1x =处连续,且21()1lim 12x f x x →=-,则曲线()f x 在点()1,()f x 处切线方程为( ) A.1y x =-B.22y x =-C.33y x =-D.44y x =-(1309)设函数由参数方程2211x t y t ⎧=+⎨=-⎩所确定,则221d d t yx == .(二)中值定理及导数的应用(0423)甲、乙二城位于一直线形河流的同一侧,甲城位于岸边,乙城离河岸40公里,乙城在河岸的垂足与甲城相距50公里,两城计划在河岸上合建一个污水处理厂,已知从污水处理厂到甲乙二城铺设排污管道的费用分别为每公里500、700元.问污水处理厂建在何处,才能使铺设排污管道的费用最省?(0507)02limsin x x x e e xx x-→--=- . (0508)函数x x f ln )(=在区间[]1,e 上满足拉格郎日中值定理的=ξ . (0521)证明方程:0133=+-x x 在[]1,1-上有且仅有一根.(0603)下列函数在[]1,1-上满足罗尔定理条件的是( ) A.xe y =B.1y x =+C.21x y -=D.xy 11-= (0621)证明:当2x ≤时,332x x -≤.(0703)设函数()(1)(2)(3)f x x x x x =---,则方程()0f x '=的实根个数为( ) A.1B.2C.3D.4(0713)求极限01lim tan x x e x x x→--.(0722)设函数9)(23-++=cx bx ax x f 具有如下性质:(1)在点1-=x 的左侧临近单调减少; (2)在点1-=x 的右侧临近单调增加; (3)其图形在点(1,2)的两侧凹凸性发生改变. 试确定a ,b ,c 的值.(0724)求证:当0>x 时,22(1)ln (1)x x x -⋅≥-.(0809)已知曲线543223++-=x x x y ,则其拐点为 . (0821)求曲线1y x=(0x >)的切线,使其在两坐标轴上的截距之和最小,并求此最小值. (0823)设函数)(x f 在闭区间[]0,2a (0a >)上连续,且)()2()0(a f a f f ≠=,证明:在开区间(0,)a 上至少存在一点ξ,使得()()f f a ξξ=+.(0824)对任意实数x ,证明不等式:(1)1xx e -⋅≤.(0904)曲线221(1)x y x +=-的渐近线的条数为( )A.1B.2C.3D.4(0913)求极限30lim sin x x x x→-.(0921)已知函数13)(3+-=x x x f ,试求: (1)函数)(x f 的单调区间与极值; (2)曲线)(x f y =的凹凸区间与拐点;(3)函数)(x f 在闭区间[2,3]-上的最大值与最小值.(0924)证明:当12x <<时,24ln 23x x x x >+-.(1002)曲线223456x x y x x -+=-+的渐近线共有 ( )A.1条B.2条C.3条D.4条 (1006)设3()3f x x x =-,则在区间(0,1)内 ( ) A.函数()f x 单调增加且其图形是凹的 B.函数()f x 单调增加且其图形是凸的 C.函数()f x 单调减少且其图形是凹的 D.函数()f x 单调减少且其图形是凸的(1013)求极限2|011lim tan x x x x →⎛⎫-⎪⎝⎭.(1021)证明:当1x >时,121122x e x ->+. (1103)若点(1,2)-是曲线23bx ax y -=的拐点,则( ) A.3,1==b aB.1,3-=-=b aC.3,1-=-=b aD.6,4==b a(1113)求极限()()22limln 1xx x eex -→-+.(1121)证明:方程()2ln 12x x ⋅+=有且仅有一个小于2的正实根. (1122)证明:当0>x 时,x x201120102011≥+.(1203)设232152)(x x x f -=,则函数)(x f ( ) A.只有一个最大值 B.只有一个极小值 C.既有极大值又有极小值D.没有极值(1213)求极限()2302cos 2lim ln 1x x x x x →+-+. (1223)证明:当10<<x 时,361arcsin x x x +>. (1302)曲线22232x xy x x +=-+的渐近线共有( )A.1条B.2条C.3条D.4条(1313)求极限01lim ln (1)x x e x x →⎡⎤-⎢⎥+⎣⎦.(1323)证明:当1x >时,2(1ln )21x x +<-.三、一元函数积分学(一)不定积分(0410)求不定积分32arcsin d 1x x x=-⎰.(0416)设)(x f 的一个原函数为xe x,计算(2)d x f x x '⎰.(0503)若()d ()f x x F x C =+⎰,则sin (cos )d x f x x =⎰( )A.C x F +)(sinB.C x F +-)(sinC.C F +(cos)D.C x F +-)(cos(0515)计算3tan sec d x x x ⎰.(0522)设函数)(x f y =的图形上有一拐点(2,4)P ,在拐点处的切线斜率为3-,又知该函数的二阶导数6y x a ''=+,求)(x f .(0604)已知2()d x f x x e C =+⎰,则()d f x x '-=⎰( )A.C ex+-22B.C e x +-221 C.C e x +--22 D.C e x +--221(0615)计算1ln d xx x+⎰. (0622)已知曲线)(x f y =过原点且在点),(y x 处的切线斜率等于y x +2,求此曲线方程. (0704)设函数)(x f 的一个原函数为x 2sin ,则(2)d f x x '=⎰( )A.C x +4cosB.C x +4cos 21C.C x +4cos 2D.C x +4sin(0715)求不定积分2d x x e x -⎰.(0810)设函数)(x f 的导数为x cos ,且21)0(=f ,则不定积分()d f x x =⎰ . (0815)求不定积分3d 1x x x +⎰. (0905)设()ln (31)F x x =+是函数)(x f 的一个原函数,则(21)d f x x '+=⎰( )A.C x ++461B.C x ++463C.C x ++8121D.C x ++8123(0915)求不定积分sin21d x x +⎰.(1015)求不定积分arctan d x x x ⎰.(1115)设)(x f 的一个原函数为x x sin 2,求不定积分()d f x x x⎰. (1215)求不定积分sin 2d x x x ⎰. (1315)求不定积分sin 2d x x x ⎰.(二)定积分(0404)2228R y x =+设所围的面积为S ,则222208d R R x x -⎰的值为( )A.SB.4S C.2S D.S 2(0421)证明:0(sin )d (sin )d 2x f x x f x x πππ=⎰⎰,并利用此式求20sin d 1cos xxx xπ+⎰.(0509)1211d 1x x x π-+=+⎰.(0516)计算10arctan d x x ⎰.(0609)设)(x f 在[]0,1上有连续的导数且(1)2f =,10()d 3f x x =⎰,则1()d x f x x '=⎰ .(0616)计算22cos d x x x π⎰.(0709)定积分()223241cos d x x x x --+⎰的值为 .(0716)计算定积分212221d x x x-⎰. (0811)定积分1212sin d 1xx x -++⎰的值为 .(0816)求定积分10d xe x ⎰.(0916)求定积分:212d 2x x x-⎰.(1009)定积分31211d 1x x x -++⎰的值为 . (1016)计算定积分403d 21x x x ++⎰. (1111)定积分()32221sin d xx x ππ-+⋅⎰的值为____________.(1116)计算定积分3d 11x xx ++⎰ . (1216)计算定积分21d 21xx x -⎰.(1316)计算定积分22d 24x x+-⎰.(1324)设函数()f x 在[,]a b 上连续,证明:[]2()d ()()d a b b aaf x x f x f a b x x +=++-⎰⎰.(三)变限积分与广义积分(0417)计算广义积分2d 1xx x +∞⋅-⎰.(0422)设函数)(x f 可导,且满足方程20()d 1()x t f t t x f x =++⎰,求)(x f .(0705)设221()sin d x f x t t =⎰,则()f x '=( )A.4sin x B.2sin 2x xC.2cos 2x xD.4sin 2x x(0803)设函数)(x f 122sin d xt t t =⎰,则()f x '等于( )A.x x 2sin 42B.x x 2sin 82C.x x 2sin 42-D.x x 2sin 82-(0908)设函数20()d x t x te t ϕ=⎰,则()x ϕ'= .(1003)设函数22()cos d t xx e t t Φ=⎰,则函数()x Φ的导数()x 'Φ等于 ( )A.222cos x xe x B.222cos x xe x - C.2cos xxe x - D.22cos x e x - (1108)设函数2()ln (1)d x x t t Φ=+⎰ ,则=Φ'')1(____________.(1211)设反常积分1d 2x ae x +∞-=⎰,则常数=a ______. (1222)已知定义在(),-∞+∞上的可导函数)(x f 满足方程31()4()d 3xx f x f t t x -=-⎰,试求:(1)函数()f x 的表达式; (2)函数)(x f 的单调区间与极值; (3)曲线()y f x =的凹凸区间与拐点.(1224)设0()d 0()(0)0x g t t x f x g x ⎧≠⎪=⎨⎪=⎩⎰,其中函数)(x g 在(,)-∞+∞上连续,且3cos 1)(lim 0=-→xx g x .证明:函数)(x f 在0=x 处可导,且1(0)2f '=. (1322)已知251320()95d x F x t t t ⎛⎫=- ⎪⎝⎭⎰是()f x 的一个原函数,求曲线()y f x =的凹凸区间、拐点. (四)定积分的几何应用(0523)已知曲边三角形由x y 22=、0=x 、1=y 所围成,求:(1)曲边三角形的面积;(2)曲边三角形绕x 轴旋转一周的旋转体体积.(0623)已知一平面图形由抛物线2x y =、82+-=x y 围成.(1)求此平面图形的面积;(2)求此平面图形绕y 轴旋转一周所得的旋转体的体积.(0721)设平面图形由曲线21x y -=(0≥x )及两坐标轴围成.(1)求该平面图形绕x 轴旋转所形成的旋转体的体积;(2)求常数a 的值,使直线a y =将该平面图形分成面积相等的两部分.(0822)设平面图形由曲线2x y =,22x y =与直线1=x 所围成.(1)求该平面图形绕x 轴旋转一周所得的旋转体的体积;(2)求常数a ,使直线a x =将该平面图形分成面积相等的两部分.(0922)设1D 是由抛物线22x y =和直线x a =,0y =所围成的平面封闭区域,2D 是由抛物线22x y =和直线x a =,2x =及0=y 所围成的平面封闭区域,其中20<<a .试求:(1)1D 绕y 轴旋转所成的旋转体的体积1V ,以及2D 绕x 轴旋转所成的旋转体的体积2V ; (2)求常数a 的值,使得1D 的面积与2D 的面积相等.(1023)设由抛物线2y x =(0x ≥),直线2y a =(01a <<)与y 轴所围成的平面图形绕x 轴旋转一周所形成的旋转体的体积记为1()V a ,由抛物线2y x =(0x ≥),直线2y a =(01a <<)与直线1x =所围成的平面图形绕x 轴旋转一周所形成的旋转体的体积记为2()V a ,另12()()()V a V a V a =+,试求常数a 的值,使()V a 取得最小值.(1024)设函数()f x 满足方程()()2xf x f x e '+=,且(0)2f =,记由曲线'()()f x y f x =与直线1y =,x t =(0t >)及y 轴所围平面图形的面积为()A t ,试求lim ()t A t →+∞.(1124)设函数)(x f 满足微分方程()2()(1)x f x f x a x '-=-+(其中a 为正常数),且1)1(=f ,由曲线()y f x =(1x ≤)与直线1x =,0y =所围成的平面图形记为D .已知D 的面积为32. (1)求函数)(x f 的表达式;(2)求平面图形D 绕x 轴旋转一周所形成的旋转体的体积x V ; (3)求平面图形D 绕y 轴旋转一周所形成的旋转体的体积y V .(1221)在抛物线2y x =(0x >)上求一点P ,使该抛物线与其在点P 处的切线及x 轴所围成的平面图形的面积为32,并求该平面图形绕x 轴旋转一周所形成的旋转体的体积. (1321)设平面图形D 是由曲线2x y =,y x =-与直线1y =所围成,试求:(1)平面图形D 的面积;(2)平面图形D 绕x 轴旋转一周所形成的旋转体的体积.四、向量代数与空间解析几何(一)向量代数(0510)设向量{}3,4,2=-a 、{}2,1,k =b ;a 、b 互相垂直,则=k . (0610)设1=a ,⊥a b ,则()⋅+=a a b . (0710)已知a 、b 均为单位向量,且12⋅=a b ,则以a 、b 为邻边的平行四边形面积为 . (0804)设向量(1,2,3)=a ,(3,2,4)=b ,则⨯a b 等于( )A.(2,5,4)B.(2,5,4)--C.(2,5,4)-D.(2,5,4)--(0909)已知向量{}1,0,1=-a ,{}1,2,1=-b ,则+a b 与a 的夹角为 . (1010)设{}1,2,3=a ,{}2,5,k=b ,若a 与b 垂直,则常数k = .(1109)若1=a ,4=b ,2⋅=a b ,则⨯=a b ____________.(1210)设向量a 、b 互相垂直,且3=a ,2=b ,则2+=a b ________.(1308)已知空间三点(1,1,1)A ,(2,3,4)B ,(3,4,5)C ,则ABC ∆的面积为 .(二)平面与直线(0518)求过点(3,1,2)A -且通过直线L :43521x y z-+==的平面方程. (0619)求过点(3,1,2)M -且与二平面07=-+-z y x 、0634=-+-z y x 都平行的直线方程.(0719)求过点(1,2,3)且垂直于直线20210x y z x y z +++=⎧⎨-++=⎩的平面方程.(0817)设平面∏经过点(2,0,0)A ,(0,3,0)B ,(0,0,5)C ,求经过点(1,2,1)P 且与平面∏垂直的直线方程. (0917)求通过直线12213-=-=z y x 且垂直于平面02=+++z y x 的平面方程. (1017)求通过点(1,1,1),且与直线23253x ty t z t =+⎧⎪=+⎨⎪=+⎩垂直,又与平面250x z --=平行的直线的方程.(1117)求通过x 轴与直线132zy x ==的平面方程. (1217)已知平面∏通过(1,2,3)M 与x 轴,求通过(1,1,1)N 且与平面∏平行,又与x 轴垂直的直线方程.(1318)已知直线10330x y z x y z -+-=⎧⎨--+=⎩在平面∏上,又知直线23132x ty t z t=-⎧⎪=+⎨⎪=+⎩与平面∏平行,求平面∏的方程.五、多元函数微积分(一)多元函数微分学(0418)设(,)z f x y xy =-,且具有二阶连续的偏导数,求x z ∂∂、yx z∂∂∂2.(0505)设yxy x u arctan),(=,22(,)ln v x y x y =+,则下列等式成立的是( )A.yv x u ∂∂=∂∂ B.xvx u ∂∂=∂∂ C.x v y u ∂∂=∂∂ D.y v y u ∂∂=∂∂ (0517)已知函数2(sin ,)z f x y =,其中),(v u f 有二阶连续偏导数,求x z ∂∂、yx z∂∂∂2.(0611)设x e u xysin =,=∂∂xu. (0620)设2(,)z x f x xy =⋅其中(,)f u v 的二阶偏导数存在,求y z ∂∂、xy z∂∂∂2.(0711)设yxz =,则全微分d z = .(0717)设(23,)z f x y xy =+其中f 具有二阶连续偏导数,求yx z∂∂∂2.(0805)函数xyz ln =在点(2,2)处的全微分d z 为( )A.11d d 22x y -+B.11d d 22x y +C.11d d 22x y -D.11d d 22x y --(0818)设函数,y z f x y x ⎛⎫=+ ⎪⎝⎭,其中)(x f 具有二阶连续偏导数,求y x z ∂∂∂2.(0910)设函数(,)z z x y =由方程12=+yz xz 所确定,则xz∂∂= . (0919)设函数(sin ,)z f x xy =,其中)(x f 具有二阶连续偏导数,求yx z∂∂∂2.(1011)设函数2ln4z x y =+,则10d x y z=== .(1018)设()2,xz y f xy e =⋅,其中函数f 具有二阶连续偏导数,求2zx y∂∂∂.(1104)设),(y x f z =为由方程8333=+-x yz z 所确定的函数,则=∂∂==00y x yz ( )A.21-B.21C.2-D.2(1118)设)(y xyxf z ,=,其中函数f 具有二阶连续偏导数,求y x z ∂∂∂2.(1204)设3ln 2z x y=+在点()1,1处的全微分为 ( )A.d 3d x y -B.d 3d x y +C.1d 3d 2x y +D.1d 3d 2x y -(1218)设函数22(,)()z f x xy x y ϕ=++,其中函数f 具有二阶连续偏导数,函数()x ϕ具有二阶连续导数,求yx z∂∂∂2.(1314)设函数(,)z z x y =由方程3331z xy z +-=所确定,求d z 及22zx∂∂.(1317)设()223,x yz fx e+=,其中函数f 具有二阶连续偏导数,求2zy x ∂∂∂.(二)二重积分(0411)交换二次积分的次序2120d (,)d x x x f x y y -=⎰⎰.(0419)计算二重积分sin d d Dy x y y ⎰⎰,其中D 由曲线x y =及x y =2所围成. (0504)设区域D 是xoy 平面上以点(1,1)A 、(1,1)B -、(1,1)C --为顶点的三角形区域,区域1D 是D 在第一象限的部分,则(cos sin )d d Dxy x y x y +=⎰⎰( )A.⎰⎰1)sin (cos 2D dxdy y xB.⎰⎰12D xydxdyC.⎰⎰+1)sin cos (4D dxdy y x xyD. 0(0511)交换二次积分的次序20111d (,)d x x x f x y y --+=⎰⎰;(0524)设)(x f 为连续函数,且1)2(=f ,1()d ()d uuyF u y f x x =⎰⎰(1u >). (1)交换)(u F 的积分次序; (2)求(2)F '.(0606)设对一切x 有(,)(,)f x y f x y -=-,22{(,)|1,0}D x y x y y =+≤≥,=1D 22{(,)|1,0,0}x y x y x y +≤≥≥,则(,)d d Df x y x y =⎰⎰( )A. 0B.1(,)d d D f x y x y ⎰⎰C.21(,)d d D f x y x y ⎰⎰D.41(,)d d D f x y x y ⎰⎰(0612)D 为以点(0,0)O 、(1,0)A 、(0,2)B 为顶点的三角形区域,d d Dx y =⎰⎰ .(0624)设⎪⎩⎪⎨⎧=≠=⎰⎰00)(1)(t a t dxdy x f t t g tD ,其中t D 是由t x =、t y =以及坐标轴围成的正方形区域,函数)(x f 连续.(1)求a 的值使得)(t g 连续;(2)求)('t g .(0720)计算二重积分22d d Dx y x y +⎰⎰,其中{}22(,)|2,0D x y x y x y =+≤≥.(0723)设0>>a b ,证明:()232d ()d ()d b b b x y xx a ayay f x e x ee f x x ++⋅=-⎰⎰⎰.(0819)计算二重积分2d d Dx x y ⎰⎰,其中D 是由曲线xy 1=,直线y x =,2x =及0=y 所围成的平面区域.(0918)计算二重积分d Dy σ⎰⎰,其中22{(,)02,2,2}D x y x x y x y =≤≤≤≤+≥.(1005)二次积分111d (,)d y y f x y x +⎰⎰交换积分次序后得 ( )A.1101d (,)d x x f x y y +⎰⎰B.2110d (,)d x x f x y y -⎰⎰C.2111d (,)d x x f x y y -⎰⎰D.2111(,)d x dx f x y y -⎰⎰(1019)计算d d Dx x y ⎰⎰,其中D 是由曲线21x y =-,直线y x =及x 轴所围成的闭区域.(1105)若(,)d d Df x y x y ⎰⎰可转化为二次积分1201d (,)d y y f x y x +⎰⎰ ,则积分域D 可表示为( ) A.{}(,)01,11x y x x y ≤≤-≤≤ B.{}(,)12,11x y x x y ≤≤-≤≤C.{}(,)01,10x y x x y ≤≤-≤≤D.{}(,)12,01x y x y x ≤≤≤≤-(1119)计算二重积分d d Dy x y ⎰⎰,其中D 是由曲线22y x =-,直线x y -=及y 轴所围成的平面闭区域. (1205)二次积分dx y x f dy y),(11⎰⎰ 在极坐标系下可化为( )A.sec 40d (cos ,sin )d f πθθρθρθρ⎰⎰ B.sec 40d (cos ,sin )d f πθθρθρθρρ⎰⎰C.sec 24d (cos ,sin )d f πθπθρθρθρ⎰⎰D .sec 24d (cos ,sin )d f πθπθρθρθρρ⎰⎰ (1220)计算二重积分d d Dy x y ⎰⎰,其中D 是由曲线1y x =-,直线2xy =及x 轴所围成的平面闭区域.(1320)计算二重积分d d Dx x y ⎰⎰,其中D 是由曲线24y x =-(0x >)与三条直线y x =,3x =,0y =所围成的平面闭区域.六、无穷级数(一)数项级数(0506)正项级数(1)∑∞=1n nu、(2)∑∞=13n nu,则下列说法正确的是( )A.若(1)发散、则(2)必发散B.若(2)收敛、则(1)必收敛C.若(1)发散、则(2)不确定D.(1)、(2)敛散性相同(0605)设∑∞=1n nu为正项级数,如下说法正确的是( )A.若0lim 0=→n n u ,则∑∞=1n nu必收敛 B.若l u u nn n =+∞→1lim )0(∞≤≤l ,则∑∞=1n n u 必收敛C.若∑∞=1n nu收敛,则∑∞=12n nu必定收敛D.若∑∞=-1)1(n n nu 收敛,则∑∞=1n n u 必定收敛(0706)下列级数收敛的是( )A.∑∞=122n nnB.∑∞=+11n n n C.∑∞=-+1)1(1n nnD.∑∞=-1)1(n nn(0906)设α为非零常数,则数项级数∑∞=+12n nn α( )A.条件收敛B.绝对收敛C.发散D.敛散性与α有关(1004)下列级数收敛的是( )A.11n n n ∞=+∑B.2121n n n n ∞=++∑ C.11(1)nn n ∞=+-∑ D.212n n n ∞=∑(1206)下列级数中条件收敛的是( )A.1(1)21nn nn ∞=-+∑B.13(1)2nn n ∞=⎛⎫- ⎪⎝⎭∑C.21(1)nn n ∞=-∑ D.1(1)nn n ∞=-∑(1305)下列级数中收敛的是( )A.211n n n∞=+∑ B.11nn n n ∞=⎛⎫ ⎪+⎝⎭∑ C.1!2n n n ∞=∑ D.13n n n ∞=∑(二)幂级数(0412)幂级数∑∞=-12)1(n nnx 的收敛区间为 . (0420)把函数21)(+=x x f 展开为2-x 的幂级数,并写出它的收敛区间. (0512)幂级数1(21)nn n x∞=-∑的收敛区间为 .(0519)把函数222)(xx x x f --=展开为x 的幂级数,并写出它的收敛区间. (0618)将函数()ln (1)f x x x =+展开为x 的幂函数(要求指出收敛区间).(0812)幂函数12nnn x n ∞=⋅∑的收敛域为 . (0911)若幂函数21n nn a x n∞=∑(0a >)的收敛半径为21,则常数=a .(1012)幂级数0(1)n nn x n ∞=-∑的收敛域为 .(1106)若x x f +=21)(的幂级数展开式为0()nn n f x a x ∞==∑(22x -<<),则系数=n a ( )A.n 21B.121+n C.(1)2nn- D.1(1)2n n +-(1112)幂级数01nn x n ∞=+∑的收敛域为_ _ _________. (1212)幂级数1(1)(3)3n nnn x n ∞=--⋅∑的收敛域为____________. (1312)幂级数12n nn x n∞=∑的收敛域为 . 七、常微分方程(一)一阶微分方程(0520)求微分方程0'=-+xe y xy 满足1x ye ==的特解.(0617)求微分方程22x y xy y '=-的通解. (0718)求微分方程22007xy y x '-=满足初始条件12008x y==的特解.(0820)求微分方程22xy y x '=+的通解.(0912)微分方程2(1)d (2)d 0x y x y x y +--=的通解为 . (1311)微分方程d d y x y x x+=的通解为 . (二)二阶线性微分方程(0406)微分方程232xy y y xe '''-+=的特解*y 的形式应为( )A.xAxe 2B.xe B Ax 2)(+C.xeAx 22D.xeB Ax x 2)(+(0712)设x xe C eC y 3221+=为某二阶常系数齐次线性微分方程的通解,则该微分方程为 .(0806)微分方程321y y y '''++=的通解为( )A.1221++=--x xe c e c yB.21221++=--x xe c ec yC.1221++=-xxec e c yD.21221++=-xxec e c y (0920)求微分方程y y x ''-=的通解. (1020)已知函数xy e =和2xy e-=是二阶常系数齐次线性微分方程0y py qy '''++=的两个解,试确定常数p 、q 的值,并求微分方程xy py qy e '''++=的通解.(1120)已知函数(1)xy x e =+⋅是一阶线性微分方程2()y y f x '+=的解,求二阶常系数线性微分方程)(23x f y y y =+'+''的通解.(1219)已知函数)(x f 的一个原函数为xxe ,求微分方程)(44x f y y y =+'+''的通解. (1319)已知函数()y f x =是一阶微分方程d d yy x=满足初始条件(0)1y =的特解,求二阶常系数非齐次线性微分方程32()y y y f x '''-+=的通解.时间排序与参考答案2004年高等数学真题参考答案1、A .2、B .3、C .4、B .5、A .6、D .7、1-e . 8、32241-+==-z y x . 9、!n . 10、C x +4arcsin 41. 11、12201d (,)d d (,)d y y y f x y x y f x y x -+⎰⎰⎰⎰.12、()3,1-.13、解:间断点为πk x =(Z k ∈),当0=x 时,1sin lim)(lim 00==→→xxx f x x ,为可去间断点;当πk x =(0≠k ,Z k ∈)时,∞=→xxx sin lim0,为第二类间断点.14、解:原式04300(tan sin )d tan sin limlim312xx x t t tx xx x→→--==⎰ 233001tan (1cos )12lim lim 121224x x x x x x x x →→⋅-===. 15、解:0=x 代入原方程得1)0(=y ,对原方程求导得0''=--y xe e y yy,对上式求导并将0=x 、1=y 代入,解得:22''e y =.16、解:因为)(x f 的一个原函数为x e x,所以2')1()(x e x x e x f xx -=⎪⎪⎭⎫ ⎝⎛=, 原式11(2)d(2)d (2)22xf x x x f x '==⎰⎰11(2)(2)d 22x f x f x x =-⎰222211(21)1(2)(2)d(2)24884x x x x x e e x x f x f x x C e C x x x--=-=-+=+⎰. 17、解:原式2111122d d 22arctan (1)12t x t tt t t t t π+∞=∞-+∞+===++⎰⎰.18、解:12zf f y x∂''=+⋅∂; []21112221221112222(1)(1)()zf f x f y f f x f x y f xy f f x y∂''''''''''''''''=⋅-+⋅++⋅-+⋅=-+-⋅+⋅+∂∂.19、解:原式21100sin sin d d d d (1)sin d y y Dyy x y y x y y y y y ===-⎰⎰⎰⎰⎰ 1100(1)cos cos d 1sin1y y y y =--=-⎰.20、解:01111(2)()(1)24244414n n nn x f x x x ∞=-==⋅=--+-+∑)62(<<-x . 21、证:00(sin )d ()[sin ()]d ()(sin )d t xx f x xt f t t t f t I t πππππππ=-=---=-⎰⎰⎰(sin )d (sin )d (sin )d f x x x f x x f x x I πππππ=-=-⎰⎰⎰解得: 0(sin )d (sin )d 2f x x f x x I x πππ==⎰⎰, 原命题证毕.222000sin sin d d arctan (cos )1cos 21cos 24x x x x x x x x ππππππ⋅==-=++⎰⎰. 22、解:等式两边求导得()2()x f x x f x '=+,即()()2f x x f x x '-=-,且(0)1f =-,x p -=,x q 2-=,而2()d 2x x xe e --⎰=,由公式求得通解:222222()2d 2x x x f x e xq x C C e -⎡⎤⎛⎫=-+=+⎢⎥ ⎪ ⎪⎢⎥⎝⎭⎣⎦⎰, 将初始条件(0)1f =-代入通解,解得:3-=C ,故22()23x f x e =-.23、解:设污水厂建在河岸离甲城x 公里处,则22()50070040(50)M x x x =++-(500≤≤x ), 由2212(50)5007000240(50)x M x -'=+⨯⨯=+-解得:650050-=x (公里),唯一驻点,即为所求.2005年高等数学真题参考答案1、A .2、C .3、D .4、A .5、A .6、C .7、2. 8、1-e . 9、2π. 10、5. 11、2111d (,)d y y y f x y x ---⎰⎰.12、(1,1)-.13、解:因为)(x F 在0=x 处连续,所以)0()(lim 0F x F x =→,'00()2sin ()(0)lim ()limlim 2(0)28x x x f x x f x f F x f x x→→→+-==+=+=, 解得:a F =)0(,故8=a .14、解:d d cos cos sin d d d sin d yy t t t t t t x x t t-+===--,22d ()csc d (cos )y t t x t '-=='.15、解:原式22tan tan sec d (sec1)d(sec )x x x xx x =⋅-⎰⎰积进去231sec d(sec )d(sec )sec sec 3x x x x x C =-=-+⎰⎰.16、解:原式211120002d 1d(1)arctan 1421x x x x x x x π+=--++⎰⎰积进去 ()12011ln 1ln 24242x ππ⎡⎤=-+=-⎣⎦.17、解:1cos zx f x∂'=⋅∂,()21212cos 22cos z x f y y x f x y ∂''''=⋅⋅=⋅∂∂. 18、解:直线L 的方向向量{}5,2,1=s ,过点()4,3,0B -,{}1,4,2AB =-;所求平面的法向量{}5218,9,22142AB =⨯==---ij kn s ,点法式为8(3)9(1)22(2)0x y z ----+=,即592298=--z y x .19、解:2222101111(1)()13216313212n nn n x x x x f x x x x x x ∞+=⎡⎤-⎛⎫=+=⋅+⋅=+⋅ ⎪⎢⎥+--⎝⎭⎣⎦+∑, 收敛域为:11<<-x .20、解:1x e y y x x '+⋅=,即1p x=,x e q x =,而1d 1x x e x -⎰=;故通解为1d xx e e C y x x C x x x ⎛⎫+=+= ⎪⎝⎭⎰.把初始条件1x y e ==解得:0=C ;故所求特解为:xe y x=.21、证:令13)(3+-=x x x f ,[]1,1x ∈-,且(1)30f -=>,(1)10f =-<,(1)(1)0f f -⋅<;由连续函数零点定理知:)(x f 在(1,1)-内至少有一实根;对于()1,1x ∈-恒有()22()33310f x x x '=-=-<,即)(x f 在(1,1)-内单调递减, 故方程0133=+-x x 在[]1,1-上有且仅有一根; 原命题获证.22、解:设所求函数为)(x f y =,则有4)2(=f ,(2)3f '=-,(2)0f ''=;由()6f x x a ''=+和(2)0f ''=解得:12-=a ,即()612f x x ''=-,故21()312f x x x C '=-+,由(2)3f '=-解得:91=C ,故22396C x x x y ++-=,由(2)4f =解得:22=C ; 所求函数为:29623++-=x x x y .23、解:(1)112300111d 266S y y y ===⎰;(如图1所示) (2)()()112222012d 4x V x x x x πππ=-=-=⎰.24、解:积分区域D 为:u y ≤≤1,u x y ≤≤;(1)111()()d d ()d (1)()d u xuDF u f x x f x y x f x x σ===-⎰⎰⎰⎰⎰;(2)()(1)()F u u f u '=-,(2)(21)(2)(2)1F f f '=-==.2006年高等数学真题参考答案1、C .2、B .3、C .4、C .5、C .6、A .7、2. 8、)(0x f . 9、1-. 10、1. 11、(sin cos )xye y x x +. 12、1.13、解:原式322131lim 21341==--→x xx . yOS1x12y x=图114、解:2211d 12d 21t t y y t t t x x t-'+==='+,2222d 1d d 122d 41ty x y t t x x t t '⎛⎫ ⎪+⎝⎭==='+. 15、解:原式3221ln d(1ln )(1ln )3x x x C =++=++⎰.16、解:原式()2222220d(sin )sin 2sin d x x x xx x πππ=-⎰⎰积进去222220sin 2sin d 2d(cos )4x xx x xx x ππππ-+⎰⎰积进去导出来2222002cos 2cos d 244x x x x ππππ=+-=-⎰.17、解:方程变形为2y y y x x ⎛⎫'=- ⎪⎝⎭,即得到了形如d d y y f x x ⎛⎫= ⎪⎝⎭齐次方程; 令yu x=,则d d d d y u u x x x =+,代入得:2d d u x u x =-,分离变量得:211d d u x u x -=; 两边积分,得:211d d u x u x -=⎰⎰,1ln x C u=+,故ln x y x C =+. 18、解:令()ln (1)g x x =+,则(0)0g =;由于01()(1)1n n n g x x x ∞='==-+∑((]1,1x ∈-), 所以01(1)((1))d x n n n g x n x g t t ∞+='=+=-∑⎰((]1,1x ∈-),故20(1)()1n n n f x x n ∞+=-=+∑,收敛域为:11x -<≤.19、解:由题意知:{}11,1,1=-n ,{}24,3,1=-n ;{}12311232,3,1431=⨯=-=++=-i j ks n n i j k ,故所求直线方程的对称式方程为:123123+=-=-z y x . 20、解:22z x f x∂'=∂,2'2'''''3''2''22122221222(2)22z x f x f x f y x f x f x y f y x ∂=+⋅+⋅=++∂∂.21、证:令33)(x x x f -=,[]2,2x ∈-,由2()330f x x '=-=解得驻点:1±=x ,比较以下函数值的大小:(1)2f -=-,(1)2f =,(2)2f =-,(2)2f -=; 所以2min -=f ,2m ax =f ,故2)(2≤≤-x f ,即332x x -≤,原命题获证.22、解:0)0(=y ,2y x y '=+,通解为:xCe x y +--=)22(;将0)0(=y 代入通解解得:2=C ,故所求特解为:xe x y 222+--=.23、解:(1)()2222648d 3S xx x -=--=⎰; (2)()()224804d 8d 16y V y y yy πππ=+-=⎰⎰.24、解:()d d d ()d ()d tt t tD f x x y x f x y t f x x ==⎰⎰⎰⎰⎰,0()d 0()0t f x x t g t a t ⎧≠⎪=⎨⎪=⎩⎰;(1)00lim ()lim()d 0t t t g t f x x →→==⎰,由)(t g 的连续性可知:0)(lim )0(0===→t g g a t ;(2)当0≠t 时,()()g t f t '=,当0=t 时,0000()d ()(0)(0)limlim lim ()(0)hh h h f x x g h g g f h f h h→→→-'====⎰; 综上,()()g t f t '=.2007年高等数学真题参考答案1、B .2、C .3、C .4、A .5、D .6、D .7、2ln . 8、1. 9、π2. 10、23. 11、21d d xx y y y-. 12、06'5''=+-y y y . 13、解:212lim 21lim 1lim tan 1lim00200==-=--=--→→→→x x x x x x x x e x e x x e x x x e . 14、解:当0=x 时,0=y ;在方程xy e e yx=-两边对x 求导得:''xye e y y x y -⋅=+⋅,故d 'd x yy e y y x e x-==+;。
江苏省2013年专转本高数真题及答案
江苏省2013年普通高校“专转本”选拔考试高等数学 试题卷(二年级)注意事项:1、本试卷分为试题卷和答题卡两部分,试题卷共3页,全卷满分150分,考试时间120分钟.2、必须在答题卡上作答,作答在试题卷上无效。
作答前未必将自己的姓名和准考证号准确清晰地填在试题卷和答题卡上的指定位置。
3、考试结束时,须将试题卷和答题卡一并交回。
一、选择题(本大题共6小题,每小题4分,满分24分。
在下列每小题中,选出一个正确答案,请在答题卡上将所选项的字母标号涂黑)1、当0→x 时,函数()ln(1)f x x x =+-是函数2)(x x g =的( ) A.高阶无穷小 B.低阶无穷小 C.同阶无穷小 D.等价无穷小2、曲线22232x xy x x +=-+的渐近线共有( )A. 1条B. 2条C. 3条D. 4条3、已知函数sin 20()0xx xf x x ⎧<⎪⎪=⎨> ,则点0x =是函数)(x f 的A 、跳跃间断点B 、可去间断点C 、无穷间断点D 、连续点4、设1()y f x=,其中f 具有二阶导数,则22d y dx =A. 231121()()f f x x x x '''-+ B. 431121()()f f x x x x '''+ C. 231121()()f f x x x x'''-- D.431121()()f f x x x x'''- 5、下列级数中收敛的是A 、211n n n∞=+∑B 、1()1nn n n ∞=+∑ C 、1!2n n n ∞=∑D、13n n ∞=∑6、已知函数)(x f 在点1x =处连续,且21()1lim 12x f x x →=-,则曲线()y f x =在点(1,(1))f 处的切线方程为A. 1y x =-B. 22y x =-C. 33y x =-D. 44y x =- 二、填空题(本大题共6小题,每小题4分,共24分)7、设函数1sin 0()0x x f x xa x ⎧≠⎪=⎨⎪=⎩ 在点0=x 处连续,则常数a = ▲ . 8、已知空间三点(1,1,1),(2,3,4),(3,4,5)A B C ,则ABC ∆的面积为 ▲ .9、设函数)(x y y =由参数方程2311x t y t ⎧=+⎪⎨=-⎪⎩所确定,则221x d y dx == ▲ .10、设向量→→b a ,互相垂直,且,,23==→→b a ,则=+→→b a 2 ▲ .11、设10lim()x x a x e a x→+=-,则常数=a ▲ . 12、幂级数1n nn ∞=∑的收敛域为 ▲ . 三、计算题(本大题共8小题,每小题8分,共64分)13、求极限01lim ln(1)x x e x x →⎡⎤-⎢⎥+⎣⎦.14、设函数(,)z z x y =由方程3331z xy z +-=所确定,求dz 及22zx∂∂.15、求不定积分2cos 2x xdx ⎰.16、计算定积分20⎰ .17、设函数223(,)x yz f x e+=,其中函数f 具有二阶连续偏导数,求2zy x∂∂∂.18、已知直线10330x y z x y z -+-=⎧⎨--+=⎩平面∏上,又知直线23132x ty t z t=-⎧⎪=+⎨⎪=+⎩与平面∏平行,求平面∏的方程.19、已知函数()y f x =是一阶微分方程dyy dx=满(0)1y =的特解,求二阶常系数非齐次线性微分方程32()y y y f x '''-+=的通解.20、计算二重积分Dxdxdy ⎰⎰,其中D 是由曲线0)y x =>与三条直线,3,0y x x y ===所围成的平面闭区域.四、综合题(本大题共2小题,每小题10分,共20分)21、设平面图形D 由曲线x =y =1y =围成,试求:(1)平面图形D 的面积;(2)平面图形D 绕x 轴旋转一周所形成的旋转体的体积. 22、已知21132()(95)x F x t t dt =-⎰是函数()f x 的一个原函数,求曲线)(x f y =的凹凸区间与拐点.五、证明题(本大题共2小题,每小题9分,共18分) 23、证明:当1x >时,2(1ln )21x x +<-. 24、设函数()f x 在[,]a b 上连续,证明:函数2()[()()]a b baaf x dx f x f a b x dx +=++-⎰⎰.江苏省2013年普通高校“专转本”统一考试高等数学(二年级) 试卷答案一、选择题(本大题共6小题,每小题4分,共24分)1、C2、C3、B4、B5、D6、A 二、填空题(本大题共6小题,每小题4分,共24分)7、0 89、34 10、2 11、ln y x x cx =+ 12、11[,)22- 三、计算题(本大题共8小题,每小题8分,共64分)13、原式=20001ln(1)ln(1)1limlim lim ln(1)2x x x xx x x e xe xe x xe x x x x xx→→→+--+-++==+213(1)lim22x x x x e e xe x →++++==14、令32(,,)331,3,3,33x y z F x y z z xy z F y F x F z '''=+--===-22222233,,33133111y x z z F F z y y z x x y xdz dx dy x F z z y F z z z z''∂∂=-=-==-=-=∴=+''∂--∂----22222222223()(2)()2211(1)(1)(1)z z y yy z yz z y z x x z z x x x z z z ∂∂∂--∂∂∂∂--=====∂∂∂--- 15、22221111cos 2sin 2sin 2sin 2sin 2cos 22222x xdx x d x x x x xdx x x xd x ==-=+⎰⎰⎰⎰22111111sin 2cos 2cos 2sin 2cos 2sin 2222224x x x x xdx x x x x x C =+-=+-+⎰ 16、令2sin ,2cos ,0,0;2,2x t dx tdt x t x t π======,则原式=222220000222cos 12cos cos 12(1)22cos 1cos 2cos 2cos 22ttt dt dt dt dt t ttt ππππ-===-++⎰⎰⎰⎰ 22202011tan 12222cos 2t t dt d t πππππ=-=-=-⎰⎰ 17、2232323232212223,(22)36x yx y x y x y z z f e f x f e e e f y y x++++∂∂''''''=⋅⋅=⋅+⋅⋅+∂∂∂18、直线方向向量12(1,1,1)(1,3,1)(4,2,2),(3,1,2),S S →→=-⨯--=-=-平面∏的法向量12(4,2,2)(3,1,2)(6,2,10),n S S →→→=⨯=-⨯-=-在第一条直线上任取一点(1,1,1),该点也在平面上,所以平面方程为6(1)(2)(1)10(1)0x y z -+--+-=即3570x y z -+-=19、由dyy dx=得111111,,ln ,,x C C C x x x dy dx dy dx y x C y e e e y e e Ce y y +===+===±=⎰⎰,由(0)1y =得1C =,所以xy e =,即212,320,1,322x e r y y r r r y -'''-+==+==, 齐次方程的通解为212x xY C e C e =+.令特解为,,x x x y xAe y Ae xAe **'==+,,x x x y Ae Ae xAe *''=++代入原方程得:,1x x Ae e A -==-,所以通解为212x x xy Y C e C e xe ==+-20、原式=333cos 4cos 442002127cos cos (8cos )33cos r d r rdr d d πππθθθθθθθθθ==-⎰⎰⎰⎰ 24011(27tan 8sin )(27tan 8sin )933443πππθθ=-=-=-. 四、综合题(本大题共2小题,每小题10分,共20分)21、(1)13123200215)(2)333S y dy y y ==⋅+=⎰(2)0222502221010821[1][1()]()()42802510x x x x V dx dx x x πππππππ--=-+-=++-=+=⎰⎰22、25233()2(95)1810,f x x x x x x =-=-23()3020f x x x '=-,13()20200,f x x-''=-=解得1x =,另外0x =为二导不存在的点,通过列表分析得:在(,0),(1,)-∞+∞凸,在(0,1)凹, 拐点为(0,0),(1,8)。
2013年江苏专转本计算机真题卷及答案
绝密★启用前2013年“专转本”计算机应用基础统一考试试题由领正转本课堂倾情奉献一、判断题1.江苏高速公路上使用的ETC苏通卡是物联网技术的一种典型应用,使用这种服务的车辆在通过收费站时无需停车即可自动扣费。
该服务需要一个电子标签( RFID)作为车辆的身份标识。
2.我国自行研制的北斗导航系统是卫星通信系统的一种典型应用。
3.CPU中包含若干个寄存器用来临时存放数据。
4.BIOS主要包含四类程序:POST程序、系统自举程序、CMOS设置程序和所有外围设备的驱动程序。
5.PC机中用户实际可用的内存容量通常指RAM和ROM的容量之和。
6.通常软件生产厂商不对软件使用的正确性、精确性、可靠性和通用性做任何承诺。
7.自由软件倡导软件的非版权原则,允许用户随意拷贝、修改源代码,但不允许销售。
8.现在大多数操作系统都有网络通信功能,Linux、UNIX、Windows XP等网络操作系统还有授权、日志、计费、安全等网络管理功能。
9.通常在浏览器中可以删除用户浏览网页的历史记录、保存的密码及Cookie等信息,以保障个人信息的安全。
10. 很多城市的公共场合已覆盖Wi-Fi,Wi-Fi采用的网络通信协议是802. 11。
11.同一英文字母的大小写字符的ASCII码值相差32H。
12. DVD伴音具有5.1声道,足以实现三维环绕立体音响效果。
13.SQL语言中的WHERE子句执行的是投影操作。
14. 在Windows中,双击文件ABC. DAT,若在出现的“打开方式”对话框中设置了与某个应用程序的关联,则此后双击任何一个扩展名为.DAT的文件都会自动启动关联程序。
15. 在Windows中,桌面图标排列类型设置为“自动排列”时,无法将图标拖到桌面任意位置。
16.在Word 2003中,可以通过插入手动分页符强制分页。
17. 在Word 2003中,设置字符间距就是保持字符的高度不变,将宽度增大或减少一定的比例。
2005-2013年江苏专转本计算机基础历年真题(含答案)
2005-2013年江苏专转本计算机基础历年真题目录2005年“专转本”计算机应用基础统一考试试题 (2)2006年“专转本”计算机应用基础统一考试试题 (8)2007年“专转本”计算机应用基础统一考试试题 (14)2008年“专转本”计算机应用基础统一考试试题 (19)2009年“专转本”计算机应用基础统一考试试题 (26)2010年“专转本”计算机应用基础统一考试试题 (32)2011年“专转本”计算机应用基础统一考试试题 (39)江苏省2012年普通高校专转本选拔考试计算机基础(二年级) (45)江苏省2012年普通高校专转本选拔考试计算机基础(三年级) (54)江苏省2013年普通高校专转本选拔考试计算机基础(二年级) (57)江苏省2013年普通高校专转本选拔考试计算机基础(三年级) (68)2005年“专转本”计算机应用基础统一考试试题(考试时间90分钟,满分100分)一、单项选择题1.基于冯·诺依曼提出的存储程序控制原理的计算机系统,其硬件基本结构包括:、控制器、存储器、输入设备和输出设备。
A. 显示器B. 运算器C. 磁盘驱动器D. 键盘2.在下列字符中,其ASCⅡ码值最大的一个是。
A. 5B. 6C. XD. Y3. 能将高级语言源程序转换成目标程序。
A.解释程序B. 编辑程序C. 编译程序D. 调试程序4. 用浮点数表示任意一个数据时,可通过改变浮点数的部分的大小,能使小数位置产生移动。
A. 基数B. 阶码C. 尾数D. 有效数字5. 二进制数01011010扩大成2倍是。
A. 10110100B. 10101100C. 10011100D. 100110106. 微型计算机系统的CPU、存储器和外部设备之间采用总线连接。
总线通常由三部分组成。
A. 地址总线、数据总线和系统总线B. 系统总线、数据总线和控制总线C. 地址总线、数据总线和控制总线D. 地址总线、系统总线和控制总线7. 在下列一组数中,其最大的一个数是。
2013年江苏专转本(语文)真题试卷精选(题后含答案及解析)
2013年江苏专转本(语文)真题试卷精选(题后含答案及解析) 题型有:1. 单项选择题 6. 阅读理解7. 文学作品赏析12. 作文单项选择题1.下列词语中加点的字,每对读音都不同的一组是( )A.B.C.D.正确答案:C解析:谙熟(ānshú)/黯然失色(àn rán shīsè);缜密(zhěn mì)/半嗔半笑(B ànChēnBànxià0);拓本(tàběn)/落拓不羁(luòtuòbùjī)。
2.下列句子没有语病的一项是( )A.全国第一个节假日实施免小客车通行费后,不少高速公路都出现了严惩的堵车现象。
B.造成“中国式过马路”这一现象的主要原因是人们缺少守法、安全和文明意识。
C.近年来,随着教育教学改革的不断深化,高校学生的培养深受广大用人单位的欢迎。
D.在刚性需求几乎消耗殆尽等因素影响下,高房价如何调整备受关注。
正确答案:B解析:A应为:免小客车通行费实施后,C大学生培养与用人单位欢迎搭配不当,D几户与殆重复。
3.秦观词句“金风玉露一相逢,便胜却人间无数”中的“金风”是指( )A.春天的风B.夏天的风C.秋天的风D.冬天的风正确答案:C解析:金风:秋风,旧说以四季分配五行,秋令在五行中属金。
4.被誉为“孤篇横绝”、“诗中的诗,顶峰上的顶峰”的唐代诗歌是( ) A.张若虚的《春江花月夜》B.李白的《蜀道难》C.高适的《燕歌行》D.自居易的《琵琶行》正确答案:A解析:《春江花月夜》,被闻一多先生誉为“诗中的诗,顶峰上的顶峰”,一千多年来使无数读者为之倾倒。
一生仅留下两首诗的张若虚,也因这一首诗,“孤篇横绝,竟为大家”。
诗篇题目就令人心驰神往。
春、江、花、月、夜,这五种事物集中体现了人生最动人的良辰美景,构成了诱人探寻的奇妙的艺术境界。
5.下列表述错误的一项是( )A.《西厢记》描写了崔莺莺与张生的爱情故事。
2013江苏省五年制高职专转本英语考试真题
Passage oneOn June 26, 2000, two scientists, called Francis Collins and Craig Venter, told the world that they could now read the whole "map" of the human body: DNA. DNA is something that everybody has, and it tells the body what to do. DNA is the reason that we look like our mother and father, because we get some of their DNA to make our own.People have been trying to understand the human body for a long time. In 1860, Gregor Mendel discovered a special reason why we look the same as other people in our family. It is because of small things named "genes" in our body. In 1953, James Watson and Francis Crick made another discovery and found out that those small parts are real messages written in the DNA with a special language.In 1961, Marshall Nirenberg and Johann Matthaei found a message in DNA showing how DNA tells the cell (细胞) to build its parts. Scientists have now found all the words in the DNA map, but we still do not understand what they all do. By understanding what just one "word" means, we can help save more people from several illnesses.Most people hope that this will help make better medicine and help sick people. Other people worry that when people begin to know more words and find out lots of other information, we might use it in a wrong way, just to make people more attractive, or stop sick people from getting jobs. Man would have to meet a lot of trouble if DNA technic wasn’t limited in use.1.When did we first know why we look like other people in our family?A.In 1860.B. In 1953.C. In 1961.D. In 2000.2.What does the underlined word "gene" mean?A.The "map" of DNA.B. A special language.C. Small parts of DNA.D. DNA.3.What did the two scientists first discover in 1961?A. The "map" of DNA.B. A new illness.C. The language of DNA.D. A message of DNA.4.What can we do if we understand some "words" of the languageinside the body?A. Make people get new jobs.B. Make medicine for illnesses.C. Make maps of human.D. Make people less attractive.5.What do people think about this work?A. It can cause good or bad resutls.B. It can cause only good results.C. It can cause good results but won’t work.D. It can cause only bad results. Passage twoI find it annoying and funny when I think about how we use protective or decorative wrappings (装饰性包装) in this country.When I come home from the supermarket and start to unpack, I am always shocked at the layers of wrappings we cover our food with.There is hardly anything we buy that doesn't come in at least two wrappings, and then several of them are gathered by the shop assistant and put into a small bag. Then several of the small bags are grouped together and put into a big bag. If you have several big bags with small bags in them, they give you a cardboard box to put thepackages-in-the-little-bags-in-the-big-bags in.A lot of things we buy wouldn't really need any protective wrapping at all. The skin of an orange protects an orange pretty well for most of its natural life, but we aren't satisfied with what nature has given it. We wrap them in plastic or put them in a net bag, and then in a paper bag. The orange inside the skin, inside the plastic which is in the paper bag, must wonder where it is.A box of biscuits often has waxed paper(蜡纸) next to the biscuits, a cardboard box holding the food and then a decorative wrapping around it.A relative of ours bought a new sofa recently because she liked the fine leather (皮革) it was covered with. She liked it so much she didn't want it to get dirty, so she bought a cloth cover to put over it.We may never again see the leather she's protecting.6、According to the author, the use of protective wrappings______. A.can be wasteful and unnecessary B.makes everything look funny C.gives people more work to do D.is a practice against natural life7、How does the writer feel when he unpacks the food from the supermarket?A.Surprised B.Interessted C.frightened D.excited8、what can be the best protective wrapping for the orange?A.Plastic B.A net bag C.its own skin D.A paper bag9、the underlined word”it” in paragraph 5 refers to______A.the food B.the waxed paperC.the cardboard box D.the decrative wrapping10、what does the author think of his relative who bought a sofa?A、she should not buy a leather sofaB、she should not cover her sofa with a clothC、she should not allow the leather cover to get dirtyD、she should not forbid the visitors to see the leather.Passage threeTo us it seems so natural to put up an umbrella to keep the water off when it rains, But actually the umbrella was not invented as protection against the rain, Its first use was as a shade against the sun!Nobody knows who first invented it, but the umbrella was used in very ancient times . Probably the first to use it were the Chinese in the 11th century B C.We know that the umbrella was used in ancient Egypt and Babylon as a sunshade. And there was a strange thing connected with its use: it became a symbol of honor. In the Far East in ancient times, the umbrella was allowed to be used only by those in high officeIn Europe, the Greeks were the first to use the umbrella as a sunshade. And the umbrella was in commonly used in ancient Greece. But it is believed that the first persons in Europe to use the umbrella as protection against the rain were the ancient RomansDuring the Middle Ages, the use of the umbrella practically disappeared. Then it appeared again in Italy in the late sixteenth century. And again it was considered as a symbol of power. By 1680, the umbrella appeared in France and later in EnglandBy the eighteenth century, the umbrella was used against rain throughout mostof Europe. Umbrellas have hot changed much in style during all this time, though they have become much lighter in weight. It wasn’t until the twentieth century that women’s umbrellas began t o be made , in a whole variety of colors11、According to this passage, the umbrella was probably first invented in ancient_______.A.China B.Egypt C.GreeceD.Rome12、Which of the following statements is not true about the umbrella? A.No one exactly knows who the inventor of the umbrella wasB.The umbrella was first invented to be used as protection against the sunC.The umbrella changed much in style in the eighteenth century D.In Europe, the Greeks were the first to use the umbrella as a sunshade.13、A strange feature of the umbrella’s use is that it was usedas__________A.protection against rain B.a shade against the sun C.a symbol of honor and power D.women’s decoration (装饰)14、In Europe, the umbrella was first used against the rain_______________.A. during the Middle AgesB. by the 18thC. in Rome D .in Greece15、This passage talks mainly about_______________.A.when and how the umbrella was inventedB.why the umbrella was so popular in EuropeC.the development of the umbrellaD.The history and use of the umbrellaPart Ⅱvocabulary and structure(每题1分,共15分)Directions : for each of the following sentences there are four choices marked A、B、C and D. choose the one answer that best completes the sentence.16、Bob would have helped us yesterday, but he __________A、was busyB、is busyC、had been busyD、will be busy17、It was from only a few supplies that she had bought in the village __________the hostess cooked such a nice dinner.A、whereB、thatC、whenD、which18、---Is it all right if I keep this photo?---__________A、No,you don’tB、No,it should’tC、I’m afraid notD、Don’t keep it19、My mother opended drawer to __________the knives and spoons.A、put awayB、put upC、put onD、put together20、Barbara is easy to recognize as she’s the only one of the womenwho __________evening dress.A、wearB、wearsC、has wornD、have worn21、though ________ to see us,the professor gave us a warm welcome.A、surprisingB、was surprisedC、surprisedD、being surprised22、The island is________ attractive in spring and autumn because of the pleasant weather in both seasons.A、partlyB、merelyC、nearlyD、equally23、________ I always felt I would pass the exam ,I never thought I would get an AA、whileB、onceC、ifD、until24、Bicycling is good exercise; ________ , it does not pollute the air.A、neverthelessB、besidesC、otherwiseD、therefore25、everyone in the village is very friendly, it doesn’t matter ________ you have lived there for a short or a long time.A、whyB、howC、whetherD、when26、---Can I help you with it ?---I appreciate your ________ , but I can manage it myself.A、adviceB、questionC、offerD、idea27、sophia waited for a reply , but ________came.A、eitherB、anotherC、neitherD、none28、---Don’t worry ,mun. The doctor said it was only the flu.---________! I’ll tell Dad there’s nothing serious.A、what a reliefB、congratulationsC、How surprisingD、I’m so sorry29、---Thank God you’re safe!---I stepped back , just ________to avoid the racing car.A、in timeB、in caseC、in needD、in vain30、there is little doubt in your mind that he is innocent , ________A、is thereB、isn’t thereC、is heD、isn’t hePart Ⅲcloze(每题2分,共20分)Directions :there are 20 blanks in the following passage .for each biank there are four choices marked A B C D. YOU should choose the ONE that best fits into the passage..We are now living in the 21st century. Is your classroom living in the 21st centuiy, too? Tony is a student in Grade 8 at an American middle school. He was surprised when he saw his modern 31 on his first day of schobl.In Tony’s classroom, there a re many new electronics (电子设备) like iPads. This semester, they will 32 the electronics to take notes, watch videos and do projects and homework. “It’s33 ”said Tony. “I prefer using an iPad to work on math or otherprojects 34 my team members.”The school uses new technology‘(技术)in classrooms to help students see, hear, touch and sometimes experience their tasks, technology is pretty common in most of our classrooms now,” the head teacher said. “We are trying to use technology to 35 the world to kids. It can bring the outside world in.”Science teacher Mr Miller agrees. “It is a 36 way for students to know the outside world,” he said.Mr Miller now regards himself as a guide of learning 37 as a teacher. “If they have a qu estion for me, I will try to teachthem 38 to find the answers rather than tell them what the answers are,” he said.Dale, another student, loves technology. He was not really interested in class before, 39 now he likes the classes very much. “It helps me use what I know about technology at school,” Dale said. “Most importantly, I 40 the classroom. This, of course, will help my studies.”31. A. dormitory B.playground C.library D.classroom32. A. allow B. use C. want D. help33. A. boring B. relaxing C. amazing D. disappointing34. A. on B. by C. at D. with35. A. open up B. look up C. put up D. call up36. A. wrong B. slow C. quick D. bad37. A. because of B. instead of C. according to D. thanks to38. A. why B. what C. when D. how39. A. but B. and C. or D. so40. A. stand B. hate C. enjoy D. dislike Part Ⅳsentence completion(每题2分,共20分)Directions :there are 10 incomplete sebtence in this part . complete them according to the Chinese given in the brackrts.41、I think you can_____________(想出)a better plan than this.42、If you don’t like to go shopping with us , you _____________(不妨呆在家里)43、Imports for July this year _____________(比……超出10%)those of the corresponding period last year.44、He promised to study hard ,but he_____________(令大家失望)45、He issued the order that __________________________(所有人马上离开那里)46、the news seemed to spread faster________________________(比我们预想的)47、__________________________(一切都太晚了)when she realized what she had really wanted.48、Don’t __________________________(再犯如此愚蠢的错误了)or you will have to find another job.49、The underground in the city _____________(将投入使用)in 201450、Be careful when you __________________________(过马路)PartⅤwriting(共15分)Directions :for this part ,you are asked to write a compositon on the following topic. You should write at least 100 words and base your writing on the information below.假定你是琳琳,你的英国笔友Helen在做有关世界各国中学生如何过周末的调查,她给你发了一封电子邮件,想了解情况。
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江苏省2013年普通高校专转本考试真题Part I Reading Comprehension (共20小题,每小题2分,共40分)Directions: There are 4 passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are 4 choices marked A, B, C and D. You should decide on the best choice and mark the corresponding letter on the Answer Sheet with a single line through the center. Passage OneQuestions 1 to 5 are based on the following passage.When Mrs. Joseph Groeger died recently in Vienna, Austria, people aske d the obvious question. “Why did she live to be 107?” Answers were provided by a survey conducted among 148 Viennese men and women who had reached the age of 100. What was surprising was that the majority had lived most of their lives in cities. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. One factor seems to be important to the longevity(长寿) of those interviewed.This factor is exercise. In the cities it is often faster to walk short distances than to wait for a bus. Even taking public transportation often requires some walking. Smaller apartment houses have no elevators, and so people must climb stairs. City people can usually walk to local supermarkets. Since parking spaces are hard to find, there is often no choice but to walk.On the other hand, those who live in the country and suburbs do not have to walk every day. In fact, the opposite is often true. To go to school, work, or almost anywhere else, they must ride in cars.1.The Vienna survey may help to explain __________.A.the complaints of people in apartment housesB.the causes of Mrs. Groeger’s deathC.the longevity of people like Mrs. GroegerD.the image of cities in general2.The second paragraph lists some ___________.A.disadvantage of walkingB.occasions for walking in city lifeC.problems of city livingments made by city people3.To reach the third floor of a building, it would probably be most healthful ___________.A.to take the elevatorB.to walk up the stairsC.to ride in a carD.to find an alternative walking4.People who live in the country usually do more driving than walking because ___________.A.they don’t live near business areasB.they don’t need exerciseC.they don’t like walkingD.they can’t afford to take the bus5.We can draw a conclusion from this passage that _________.A.air pollution is not seriousB.anyone can live to be 107C.country people should move to citiesD.walking is a healthful exercisePassage TwoQuestions 6 to 10 are based on the following passage.The Bedouin people, a tribe living in the deserts of Arabia and Northern African, think most highly ofpeople who show loyalty. To them loyalty does not mean that one is devoted to a country, a place, or a leader. Loyalty means being faithful to one’s family and tribe.The Bedouin people are proud of their ancestors(祖先). They do not admire a hero from an ordinary or poor family as much as one who comes from an honored family. They especially respect those who have inherited(继承) a good family name and then have passed it on to their children.A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. If they are honored, he is also honored. If they are disagreed, he, too, is disgraced. Therefore, one carefully guards the honor of his family and his tribe.A man can protect his family’s honors by being brave and generous and by giving protection to those who ask for it. He also guards it by carefully watching the women of his family.A Bedouin woman cannot bring honor to her family, but she can bring disgrace. Even if a woman only looks as if she has done something wrong, she may be killed. The honor of her family depends upon her virtue(美德).6. The best title for this passage can be __________.A. Life of the Bedouin PeopleB. Women’s Position in the Bedouin FamilyC. Bedouin People’s Idea of Loyalty and HonorD. How to Guard Honors7. The Bedouin people think most highly of one who is ______.A. devoted to his country and his leaderB. from an ordinary familyC. proud of his ancestor and relativesD. faithful to his family and tribe8. It is learned from the passage that ___________.A. a hero from an honored family is more admiredB. one can not live in the tribe without a good family nameC. all the Bedouin people are kind, brave and generousD. family traditions can never be passed to children9. The word “disgraced” (Para. 3) means “ __________”.A. disappearedB. disappointedC. dishonoredD. discouraged10. It is implied in the passage that the Bedouin women are __________.A. treated as the equals of menB. respected for what they doC. not interested in positionD. not respected as much as menPassage ThreeQuestions 11 to 15 are based on the following passage.Up until about 100 years ago, newspaper in the United States attracted only the most serious readers. They used no illustrations (插图) and the articles were about politics or business.Two men changed that---Joseph Pulitzer of the New York World and William Randolph Hearst of the New York Journal. Pulitzer bought the New York World in 1883. He changed it from a traditional newspaper into a very exciting one overnight. He added lots of illustrations and he told his reporters to write articles on every crime they could find. And they did. One woman reporter even pretended she was mad and was sent to a hospital. She then wrote many articles about the poor treatment of patients in thosehospitals where madmen were kept. In 1895, Hearst came to New York from California. He wanted the Journal to be more exciting than the World. He also wanted it to be cheaper, so he lowered the price by a penny. Hearst attracted attention because his newspaper heading were bigger than any one else’s. He often said, “Big print makes big news.”Pulitzer and Hearst did anything they could to sell newspaper. For example, Hearst sent Frederic Remington, the famous illustrator, to draw pictures of the Spanish-American War. When he got there, he told Hearst that no fighting was going on. Hearst answered, “ You provide the pictures. I’ll provide the war.11. About a century ago, American newspaper carried news about __________.A. all kinds of exciting newsB. crimes and mad peopleC. the poor treatment of patientsD. serious matters only12. According to Paragraph 2, which of the following statements is TRUE?A. Pulitzer and a woman news reporter changed the world overnight.B. Pulitzer bought the Journal with the help of his reporter.C. A woman news reporter pretended to be mad.D. A woman reporter became mad and was sent to a hospital.13. Hearst at tracted readers’ attention by ______________.A. using bigger headingsB. reporting big war newsC. raising the price of the newspaperD. reporting politics and business only14. __________ was asked to draw war pictures.A. HearstB. RemingtonC. PulitzerD. A woman reporter15. This passage tells us that ________.A. Pulitzer and Hearst were the most famous reporters of the United StatesB. newspaper owners sometimes hired mad men as their news reportersC. the world and the journal were not popular newspaper at that timeD. Pulitzer and Hearst used every possible means to win over each otherPassage FourQuestions 16 to 20 are based on the following passage.It is hard to imagine life without Arabic numbers(数字). No other number system ever invented has a simple way to write a number like 1984. In Roman numeral, it comes out like this MCMLXXXIV. Imagine how difficult it would be for a school pupil to remember it!The Arabs, however, call their numbers “Indian numerals”. This is probably because they got the original idea a long time ago from India. There were no printed newspapers or scientific magazine then, so mathematics traveled along the same routes that silk did, as businessmen sold and bought goods. The Arabs took the new numbers and made improvements that quickly led to advances in technology.The achievement of Arabic technology can be seen from a passage in a 10th-century book about an Arabic city:” The neighboring country showed the results of careful w ork in agriculture, trade, and industry. Rice and many other plants were grown in fields with water supplied by Arab engineers. The city included 900 public baths, stone-covered streets, fountains, and beautiful buildings.” At this time, London was a small town with dirty streets, and Berlin was a farming village. In fact, cities outside the Arab world did not reach the same level of social development until centuries later.16. This passage tells us that the Arabs were a people _______________.A. inventing Roman numeralsB. having advanced technology long agoC. growing corn and many other plants thenD. supplying other countries with colorful silk17. It takes much more efforts to ___________.A. learn Roman numerals than Arab numeralsB. introduce numerals through printed materialsC. make great use of silk roadsD. teach businessmen numerals18. The Arabs call their numerals “ Indian numerals” because _________.A. the numerals are mainly used in ChinaB. they copied numerals from IndiansC. Arabic numerals were first used by Indian businessmenD. they got some ideas about number from the ancient Indians19. According to the passage, the Arab people ___________.A. did business with the IndiansB. learned some ideas about business from IndiansC. built public baths in London in the 10th centuryD. traveled a long way to learn mathematics in Rome20. From a 10th-century book, we can learn that ___________.A. Berlin was formerly a dirty with sufficient rice and plantsB. London was under the rule of the Romans in the 10th centuryC. the Arab world was more advanced than other countries aroundD. London chiefly developed industry ten centuries agoPart II Vocabulary and Structure (共40小题,每小题1分,共40分)Directions: There are 40 incomplete sentences in this part. For each sentence there are 4 choices marked A, B, C and D. Choose the ONE that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.21. Jessica ought to stop working; she has a headache because she __________ too long.A. readsB. is readingC. has been readingD. had read22. __________ us harm or good remains to be seen in the near future.A. If it will doB. Whether it will doC. That it will doD. What it will do23. Able-bodied people just don’t realize how difficult it is _________ good jobs.A. of disabled people to getB. of disabled people gettingC. for disabled people to getD. for disabled people getting24. I’ll go camping with you if I ___________ free tomorrow.A. amB. will beC. beingD. was25. After the concert, the rock music star ___________ hundreds of fans outside the theater.A. surrounded byB. was surrounded byC. being surrounded byD. is surrounded by26. That book is really worth _________ if you’re going to take the final examination.A. to readB. reading C .to be read D. being read27. __________ surprised me most was _________ such a little boy of seven could play the violin so well.A. That; whatB. That; whatC. What; thatD. What; what28. Staying in a hotel cost ________ renting a room in an apartment for a week.A. twice many thanB. twice as much asC. twice the same asD. twice as many as29. It is ________ that we’d like to go out for a walk.A. a lovely dayB. too lovely a dayC. so lovely a dayD. such lovely a day30. I can’t find my iPhone 5 in the dormitory. It __________ by somebody.A. must have taken awayB. may have taken awayC. may take awayD. must have been taken away31. When Mr. Smith got there, he found that about ___________ of his friends had been incited.A. twenty-thirdB. two-thirdC. two-thirdsD. twenty-thirds32. In 2012, Mo Yan became the first Chinese writer _________ won the Nobel Prize for Literature.A. thatB. whomC. whoseD. which33. I didn’t see you at the meeting. If you had come, you _________ our sales manager.A. would meetB. would have metC. will have metD. had met34. Ladies and gentlemen! It’s my pleasure __________ Mr. Li, our new Premier to you all.A. introducingB. introduceC. to be introducingD. to introduce35. The audience burst into applause ___________ the singer finished her song.A. after momentB. in a momentC. the momentD. for a moment36. “ Where is the girl we talked about yesterday?”“Look! Here ___________.”A. she comes B . comes she C. she came D. came she37. The number of employees at the factory __________ to a minimum so as to lower production costs.A. is cuttingB. are cuttingC. has been cutD. have been cut38. Many young people nowadays make _________ a rule to buy flower and chocolate for their lovers on Vale ntine’s Day.A. themselvesB. itC. themD. this39. Dr. Green, together with his wife and two daughters, __________ to arrive in Nanjing tonight.A. will beB. is C .are D. are going40. His father has been suffering from lung cancer for half a year, so the doctor Suggest that he ___________ an operation as soon as possible.A. takesB. would takeC. tookD. should take41. Being out of work, Jane can no longer __________ her friends to dinners as she used to.A. urgeB. treatC. attractD. apply42. It’s a great pity that the girl _________ halfway and dropped out of the competition.A. gave offB. gave outC. gave overD. gave up43. The fact that something is cheap doesn’t _________ mean it is of low quality.A. especiallyB. practicallyC. necessarilyD. specially44. In learning English, many students ___________ an e-dictionary to a paper one.A. likeB. expectC. preferD. respect45. The personnel manager will __________ the applications and pick out the best.A. look upB. look afterC. look outD. look through46. Seventy percent approved ________ the way she handled the situation while thirty percent disapproved.A. withB. aboutC. ofD. up47. The price of houses goes up again, partly _________ the requirement of young people.A. in result ofB. withC. becauseD. due to48. They decided to ___________ the contract because a number of the conditions had not been met.A. attendB. argueC. controlD. cancel49. __________ your English gets better, you’ll begin to feel more comfortable studying in Canada.A. OnceB. As far asC. WhereasD. For50. Although I told him to be careful over and over again, he never took any__________ of what I said.A. attentionB. warningC. noticeD. observation51. Freshmen are usually __________ about everything when they first come to the college.A. troublesomeB. curiousC. differentD. familiar52. Salina came home so thin and weak that her family could hardly ________ her.A. remindB. recognizeC. rememberD. understand53. The manager explained that they didn’t __________ people to bring theirs pets into the restaurant.A. allowB. letC. makeD. have54. ___________ I go, I always seem to bump into him.A. WhateverB. WhereverC. HoweverD. Somehow55. Our working hours are _________, we can go to work in the morning or in the afternoon.A. floatingB. efficientC. flexibleD. personal56. To a great __________, the way you learn at college is different from that when you were in high school.A. amountB. extentC. reasonD. goal57. A skilled tennis player knows how to __________ his competitor’s weakness so as to get the final victory.A. beatB. take risk ofC. defeatD. take advantage of58. Try this cam era, you’ll find it can be ___________ to take pictures in cloudy conditions.A. adjustedB. treatedC. adoptedD. removed59. Being short of food and fuel, we are _________ with a very difficult situation.A. handledB. madeC. facedD. encouraged60. John was late for class again, but he couldn’t _________ his lateness.A. count forB. account forC. count onD. account onPart III Cloze(共20小题,每小题1分,共20分)Directions: There are 20 blanks in the following passage. For each blank there are 4 choices marked A, B, C and D. You should choose the ONE that best fits into the context. Then mark the corresponding letter on the Answer Sheet with a single line through the center.Smoking is considered dangerous to the health. Our tobacco-seller Mr. Johnson, therefore always asking his customers if they are very young, whom the cigarettes are bought __61__. One day, a little girl whom he had never seen before walked boldly __62__ his shop and demanded twenty cigarettes. She had the large __63__ of money in her hand and seemed very ___64___ herself. Mr. Johnson was so __65___ by her confident manner that he __66___ to ask his usual question. ___67___, he asked her what kind of cigarettes she wanted. The girl ___68___ readily and handed him the money. While he was giving her the __69___, Mr. Johson said laughingly that as she was so __70___ she should ___71___ the packet(小盒) in her pocket in __72___ a policeman saw it. However, the little girl did not seem to ___73____ this very funny. Without ___74__ she took the __75___ and walked towards the door. Suddenly she stopped, turned __76___ and looked steadily at Mr. Johnson. __77___ was a moment of silence and the tobacco-seller wondered ___78____ she was going to say. And at once, in a clear, joking ___79__, the girl declared, “___80__ dad is a policeman,” and with that she walked quickly out of the shop.61. A. with B. to C. by D. for62. A. with B. for C. into D. down63. A. amount B. quality C. bits D. part64. A. since B. of C. without D. against65. A. worried B. interested C. surprised D. pleased66. A. forgot B. came C. went D. dreamed67. A. Therefore B. Instead C. Somehow D. Anyhow68. A. Replied B. Screamed C. spoke D. talked69. A. change B. warning C. cheque D. advice70. A. old B. young C. amazed D. excited71. A. hide B. throw C. tip D. take72. A. way B. peace C. case D. end73. A. search B. get C. pass D. find74. A. look B. looked C. smiling D. smiled75. A. packet B. clothes C. knife D. bill76. A. way B. over C. round D. aside77. A. They B. She C. There D. He78. A. where B. what C. when D. if79. A. words B. voice C. sound D. statement80. A. The B. For C. As D. MyPart IV Translation(共35分)Section A (共5小题,每小题4分,共20分)Directions: Translate the following sentences into Chinese. You may refer to the corresponding passages in Part I.81. Although cities are often regarded as unhealthy places, city living provides benefits that country living may lack. (Passage One)82. A man’s position among his people depends upon his ancestors, relatives, and fellow tribesmen. (Passage Two)83. She then wrote many articles about the poor treatment of patients in those hospitals where madmen were kept. (Passage Three)84. The Arabs took the new numbers and made improvements that quickly led to advances in technology. (Passage Four)85. In fact, cities outside the Arab world did not reach the same level of social development until centuries later. (Passage Four)Section B (共5小题,每小题3分,共15分)Directions: Translate the following sentences into English.86. 根据以往的经验,他可能赢得这场比赛。