工程硕士(GCT)2005真题参考答案

1、语文部分参考答案题号 1 2 3 4 5 6 7 8 9 10答案BBAACC DCDD题号 11 12 13 14 15 16 17 18 19 20答案ABBBCBD B C A题号 21 22 23 24 25 26 27 28 29 30答案DA DDA BC BCD题号 31 32 33 34 35 36 37 38 39 40答案DA C D C ADBD D题号 41 42 43 44 45 46 47 48 49 50答案A C D A BB B CC B 第二部分 数学基础能力测试答案（25题，每题4分，共100分）1.A. B. C. D. 分析：分子，分母，所以正确选项为

2、A。2.设为正数，则A. B. C. D. 分析：由于，根据题意便知正确选项为C。3.在四边形ABCD中对角线AC，BD垂直相交于O点。若AC=30，BD=36，则四边形ABCD的面积为（ ）。A.1080 B.840 C.720 D.540分析：ABCD如图，易知四边形ABCD的面积等于与的面积之和，其值为，即正确选项为D。4.某项工程8个人用35天完成了全工程量的，如果再增加6个人，那么完成剩余的工程还需要的天数是（ ）。A.18 B.35 C.40 D.60分析：设完成剩余的工程还需要的天数是，则，故，即正确选项为C。5.已知，则A.50 B.75 C.100 D.105分析：由于，所以

3、，从而，故正确选项为B。6.2005年，我国甲省人口是全国人口的%，其生产总值占国内生产总值的%；乙省人口是全国人口的%，其生产总值占国内生产总值的%，则2005年甲省人均生产总值与乙省人均生产总值之比是（ ）。A. B. C. D. 分析：设全国人口为p，国内生产总值为h，则甲省人均生产总值为，乙省人均生产总值为，所以甲省人均生产总值与乙省人均生产总值之比是，即正确选项为D。7.复数A.4 B.2 C.2 D. 分析：因为，所以，即正确选项为C。8.三个不相同的非0实数成等差数列，又恰成等比数列，则等于（ ）。A.4 B.2 C.-4 D.-2分析：根据条件可知，从而，由于，所以，即正确选项

4、为A。注：本题根据，及可直接用排除法得到正确选项A。9.任取一个正整数，其平方数的末位数字是4的概率等于（ ）。A.0.1 B.0.2 C.0.3 D.0.4分析：当所取正整数的各位数是2或8时，其平方数的末位数字就是4，所有正整数的各位数只有1，2，3，4，5，6，7，8，9，0等十种可能，所以要求的概率是，即正确选项为B。10.一个圆锥形容器（甲）与一个半球形容器（乙），它们的开口圆的直径与高的尺寸如右图所示（单位：分米）。若用甲容器取水注满乙容器，则至少要注水（ ）次。A.6 B.8 C.12 D.16分析：甲容器的容积是，乙容器的容积是，所以若用甲容器取水注满乙容器，则至少要注水8次，

5、即正确选项为B。11.在中，AB=10，AC=8，BC=6。过C点以C到AB的距离为直径作一圆，该圆与AB有公共点，且交AC于M，交BC于N，则MN等于（ ）。A. B. C. D. 分析：如图，根据条件可知是直角三角形，由于是圆的直径，所以圆周角和都是直角，从而和都是正方形的对角线，所以，故正确选项为。12.已知，则的值是（ ）。A. B. C. D. 分析：由于当时，这与矛盾，所以，从而，即正确选项为。13.已知为反比例函数图像上的一点，过分别作两坐标轴的平行线，交轴于，交轴于，则的面积为（ ）。A. B.1 C. D. 分析：如图，的面积为，即正确选项为C。14.设一个圆的圆心为，该圆与

6、坐标轴交于A，B两点，则到坐标原点的距离是（ ）。A.2 B.8 C.10 D.10分析：由于AB是圆的一条弦，所以圆心在线段AB的垂直平分线上，从而。到坐标原点的距离是，即正确答案为C。15.已知，若圆的圆心在第四象限，则方程的图形是（ ）。A.双曲线 B.椭圆 C.抛物线 D.直线分析：由于圆的圆心在第四象限，所以，从而的图形是一个椭圆，即正确选项为B。16.设函数的定义域是，则函数的定义域是（ ）。A. B. C. D. 分析：考虑得解得。即正确选项为D。17.函数在上有（ ）。A. 1条垂直渐进线，1条水平渐进线B. 1条垂直渐进线，2条水平渐进线C. 2条垂直渐进线，1条水平渐进线D

7、. 2条垂直渐进线，2条水平渐进线分析：因为，所以曲线在上有2条垂直渐进线，2条水平渐进线。即正确选项为D。18.设在点处可导，且则=（ ）。A.0 B.1 C.2 D.3分析：因为在点处可导，所以其在点处连续，从而，。即正确选项为C。19.若的二阶导数连续，且，则对任意常数必有=（ ）。A. B.1 C.0 D. 分析：根据微分中值定理可知，存在介于和之间的使得。由于，所以。即正确选项为A。20.设是的一个原函数，则不定积分=（ ）。A. B. C. D.3分析：由于，所以。即正确选项为C。21.设连续函数在内严格单调递增，且，若是的反函数，则=( )。A. B. C. D. 分析：aaAB

8、如图，根据定积分的几何意义可知：，所以。即正确选项为B。22.设向量，则向量组的一个极大线形无关组是（ ）。A. B. C. D. 分析：因为，所以向量组的一个极大线形无关组是。即正确选项为D。23.设A=，则A的对应于特征值2的一个特征向量是（ ）。A. B. C. D. 分析：因为，所以A的对应于特征值2的一个特征向量是。即正确选项为D。24.已知为维单位列向量，为的转置，为单位矩阵，若=，则等于（ ）。A. B. C.1 D. 分析：，即正确选项为A。25.设是方程的三个根，则行列式的值等于（ ）。A.1 B.0 C.-1 D.-2分析：根据题意可知，所以，从而即正确选项为B。2005年

9、GCT逻辑试题参考答案（以下答案仅供参考）1C2D3C4B5C6D7C8D9B10C11A12D13D14D15B16D17A18B19D20C21B22A23D24C25B26C27A28C29A30A31C32C33D34A35B36D37B38D39A40A41B42B43D44D45C46D47A48A49D50C第四部分 外语运用能力测试（英语）(答案仅供参考)（50题，每题2分，满分100分）Part One Vocabulary and StructureDirections:There are ten incomplete sentences in this part. For

10、 each sentences there are four choices marked A, B, C and D. Choose the one that best completes sentence. Mark your answer on the ANSWER SHEET with a single line though the center.1. To speed _A_ your entry, please bring your Admission Card with you.A. up B. onC. cut D. down2. More thunderstorms _C_

11、 in summer than any other time of the year.A. happened B. have happenedC. happen D. will happen3. Experts say the space rock is probably _D_ more than U.S.$30,000.A. weighty B. costlyC. valuable D. worth. 4. Susan will come to watch him _B_ at Wimbledon this week.A. played B. playC. to play D. playi

12、ng5. Children dont _B_ understand what are reciting, but gradually it will have in impact on thinking.A. played B. playC. to play D. playing6. Every year, thousands of college students apply for the CCTV Cup English Speech _D_.A. Argument B. QuarrelC. Debate D. Contest7. _B_ shall we forget the day

13、when we received the admission into Harvard University.A. No time B. NeverC. No sooner D. Nonetheless8. The newly released movie was _D_ as to arouse so much sensation among the young people.A. No time B. NeverC. No sooner D. Nonetheless9. Todays popular clothing chains _C_ teenagers, who can be cou

14、nted upon to change their tastes every 30 days.A. resort to B. attend toC. appeal to D. apply to 10. There is going to be _A_ time for people to assess whether or not we have made the right decision in this time of urgency.A. sufficient B. additionalC. efficient D. consequentPart Two Reading Compreh

15、ensionDirections:In this part there are three passages and one advertisement, each followed questions or unfinished statements. For each of them, there are four choices marked A, B, C and D. Choose the best one and. Mark your answer on the ANSWER SHEET with a single line though the center.Questions

16、1115 are based on the following passage:The first ancient Olympics were held in 776 B.C. The games got their name from Olympia, the Greek city where they took place. Like the summer Olympics of today, the ancient Olympics were held every four years. Thousands of people from all over the Greek world

17、came to watch. The main stadium held about 45,000 people. “We have accounts of visitor and pilgrims setting up tents all around the site.” Lisa Cerrato of Tufts University said.During the first Olympics, there was only one competitiona 200-meter race. But over time the games grew to include wrestlin

18、g, chariot racing, boxing, and other sports. Women were not allowed to compete, but they had their own separate games.“The ancient athlete became celebrities(名人), just like today. They often lived the rest of their lives being treated to free dinners.” Cerrato said, “City-states even tried to steal

19、away each others athletes by offering them various awards.”The ancient Olympics existed until A.D.393. But the modern Olympics are still going strong.11. Where did the ancient Greeks hold their first Olympics?A. In Athens B. In OlympicsC. In a town D. In a state 12. How did researchers know that anc

20、ient Greeks rushed to watch the Olympics?A. Thousands of people came to watch.B. The main stadium is still not big enough.C. They have found the related record of events.D. Many of them were visitor and pilgrims.13. What did women do since they were not allowed to participate in the Olympics?A. They

21、 stayed at home doing nothing.B. They organized protests in the city.C. They had their own games.D. They set up tents around the site.14. The ancient athletes must have felt honored when they _ .A. completed in a 200-meter race.B. wrestled with each otherC. read the accounts of the gamesD. received

22、the treatment of free dinners15. It can be inferred from the fourth paragraph that _ .A. the ancient athletes liked to celebrate their victoriesB. free dinners were offered during the competition C. city-states competed with each other to win the OlympicsD. awards were often stolen to honor the athl

23、etes Questions 1620 are based on the following passage:Why are mobiles so popular? Because people love to talk to each other. And it is easier with a mobile phone. In countries like Russia and China, people use mobile phone in places where there is no ordinary telephone. Business people use mobiles

24、when theyre traveling. In some countries, like Japan, many people use their mobile phones to send e-mail message and access the Internet. They use a new kind of mobile phone called “i-mode”. You can even use a mobile phone listen to music.Mobile phones are very fashionable with teenagers. Parents bu

25、y mobile phones for their children. They can call home if they are in trouble and need help. So they feel safer. But teenagers mostly use them to keep in touch with their friends or play simple computer games. Its cool to be the owner of a small expensive mobile. Research shows that teenage owners o

26、f mobile phone smoke less. Parents and schools are happy that teenagers are safer and smoke less.But many people dislike them. They hate it when the businessman opposite them on the train has a loud conversation on his phone. Or when mobile phones ring in a caf or restaurant. But there is a much mor

27、e serious problem. Its possible that mobile phone can heat up the brain because we hold the phone so closed to our bead. Scientists fear that mobiles can perhaps be bad for your memory and even give you cancer.16. Mobile are popular among people because _A. they think mobile are funB. they believe m

28、obile are safeC. they love to listen to music D. they feel it easier to talk to each other17. It is stated in the passage that Russia and China _ .A. ordinary telephone service is available everywhereB. people prefer mobile phone to ordinary telephonesC. mobile are used in places without ordinary te

29、lephoneD. people use mobiles to send e-mail and access the Internet18. Parents buy mobile phone for their children because _ .A. mobile phone are very fashionable with teenagersB. they can call home if they are in trouble and need help C. they can use mobile to play simple computer games D. mobile p

30、hone enable teenagers to give up smoking19. Why can mobile phone be a much more serious problem?A. Because people hate the businessmen using mobile in public places.B. Because of use of mobile phones can be physically harmful.C. Because there is strong evidence for the problems of mobiles.D. Because

31、 people feel their privacy unprotected in a caf or restaurant.20. Which of the following can be the title of this passage?A. Why Are Mobile So Popular?B. MobilesUseful or UselessC. MobileA Danger to health? D. Why Do We Design Mobile?Questions 2125 are based on the following passage: At the Internat

32、ional Snow Sculpture Championships in Colorado on January 27, people will carve the white stuff into art. Planning begins months before the first snow falls. Teams submit applications and sketches of their sculptures in July. Then, a panel of judges choose 14 teams for the championship.The rules are

33、 simple: Electric tools are not allowed. Teams carve snow with everything but the results are not entirely in the sculptors hands,” if it is extremely sunny and warm.” DeWall, the competitions director of public relations, explained, “we will erect old sail from sail boats into the air to block the

34、sun from melting the sculptures.” If it snows, she continued, teams have to work extra hard to scrape(刮掉) the new snow off their work.The judges look for creativity, technical skill, and overall impact on the viewer. The winner does not receive any money. “There is no cash prize because the event be

35、gan with the concept of global camaraderie(情谊).” DeWall explained. Instead of focusing on money, she continued, “winners revel(纵情) in the friendship, the art, and the hard work.”21. What does the phrase “white stuff” in the first paragraph refer to ?A. Wood B. Snow C. Ice D. Rock22. What do people s

36、tart to plan for the Championships?A. After the first snow fall in Colorado.B. Once they submit their applications.C. Before their sculptures are sketchedD. As soon as the judges have chosen the teams.23. The sculptors cannot control the result because _ .A. it is extremely and warmB. it shine and/o

37、r snowsC. the sun melts their sculpturesD. old sails are raised into the air 24. What is the viewers role in the championships?A. Sculptors like to work together with them.B. Judges consider their responses as choosing the winner.C. Viewers watch and help to product the sculptures.D. The organizers

38、rate their involvement and enthusiasm.25. The winners enjoy all of the following EXCEPT _ .A. the cash prize B. the friendshipC. the art D. the hard workQuestions 2630 are based on the following from New York Times electronicClassified Ads:JOB INFORMATIONJob Title :BankingEmployer :ConfidentialSourc

39、e :NY Times Classified AdsLocation :New York, NYDate :09-16-2005JOB DESCRIPTIONDescription:BANKING OPENING NEW BRANCHESWe are growing domestic bank who seek expd staff for our new branches. Branch managers 2+ yrs exp in Br Mgmt, knwlg in all bkg products and regs, excellent Mgmt skills a must, sales

40、 and mktg skills. Tellers (F/T, P/T) Banking experience preferred. Customer Serv Reps (F/T, P/T) Banking background a must. Qualified candidates should e-mail resume to or fax to 212-329-3745. Doral Bank is EOE. For more details visit 26. Which of the following i

41、s NOT shown above?A. Job title B. Annual paymentC. Ad source D. Job description27. Based on what you read, the ad is intended for the _ .A. recruitment B. product promotionC. banking service D. banking reform28. New staff are needed because of _ .A. the opening of the new branchesB. the updating of

42、the banking service C. the retirement of the experienced staffD. the lack of excellent management29. Which of the following is NOT mentioned in the ad?A. Branch managers B. TellersC. Customer Service Reps D. Sale managers30. Qualified candidates are expected to _ .A. e-mail their resumes to hrdoralb

43、B. visit Doral Bank in New York in person C. call 212-329-3745 for more informationD. visit for a interviewPart Three ClozeDirections:There are ten blanks in the following passage. For each numbered blank, there are four choices marked A, B, C and D. Choose the best one

44、and. Mark your answer on the ANSWER SHEET with a single line though the center.Double Income and No Kids (DINK) becomes fashionable in China. The DINK couples are usually regarded as those who have higher educations and _31_ careers with higher incomes. The increase in DINK families has shattered th

45、e Chinese traditional idea of the family and _32_ typical.A survey conducted recently in Beijing by a market survey company _33_ that about 3.3 percent of 1,300 surveyed families in Beijing said they have _34_ plans to have children. It is estimated there are about 600,000 DINK families in large cit

46、ies like Beijing, Tianjin, Shanghai, and Chongqing.Why they choose such a lifestyle is concluded in _35_ reasons. Some are showing great worry for the rapid growth of population; some are indulged in building a more well-off family; some are showing sharp _36_ to get themselves free from the obligat

47、ion of raising children._37_, most people still believe it is necessary to bear a child to keep the family line on. As an old Chinese saying goes, there are three aspects in failing to be a filial son and the _38_ serious one is to have no heir for the family. So childless couples will suffer discri

48、mination _39_ family members and neighbors.But it is clear that the new tide of ideas has come, which suggests young people _40_ to choose their own way of life. They are installing modern ideas into traditional families and society. In the modernization process, personal choices will be highly resp

49、ected.31. A. stable B. available C. achievable D. liable32. A. had become B. may become C. became D. becomes33. A. directed B. induced C. indicated D. dictated34. A. no B. not C. hardly D. scarcely35. A. elegant B. abundant C. similar D. various36. A. tension B. attention C. intention D. interaction

50、37. A. Moreover B. However C. According D. Generally38. A. most B. more C. latest D. less39. A. into B. to C. at D. from40. A. wanted B. should want C. want D. had wantedPart Four Dialogue CompletionDirections:In this part, there are ten short incomplete dialogues between two speakers, each followed by four choices marked A, B, C and D. Choose the one that most appropriately suit the conversational context