GCT历年真题05年GCT真题答案

1、百度文库让每个人平等地提升自我语文部分参考答案题号1234L5678910答案BBAACCDCDD题号11121314151617181920答案ABBBCBDBCA题号21222324252627282930答案DADDABCBCD题号31323334353637383940答案DACDCADBDD题号41424344454647484950答案ACDABBBCCB第二部分数学基础能力测试答案 (25题，每题4分，共100分)1.2A.810.1 + 0.2 + 0.3 + 0.4 + 0.5 + 0.6 + 0.7 + 0.8 + 0.92981B. - C. - D.922分析：分子=1

2、 2 3 45 67 823456789-91+2+3+4+5+6+7+8+9分母=10确选项为2.设为正数，则 x? + px-99 = ( )oA. (x-9)(x-ll) B,(x + 9)(x 11)C. (x-9)(x+ll) d. (x + 9)(x + ll)分析：由于(x 9)(x 11) = x220x + 99 ， (x + 9)(x-l 1) = x2-2x-99 ,(x-9)(x + 11) = x2 +2x-99, (x + 9)(x+11) = x2 + 20x + 99 ,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=3

3、0, BD=36,则四边形ABCD 的面积为()o分析：如图，易知四边形ABCD的而积等于NABD与ACBD的面积之和，其值为 1x30x36 = 540,即正确选项为 D。224 .某项工程8个人用35天完成了全工程量的L,如果再增加6个人，那么完成剩余的工程 3还需要的天数是()。分析：设完成剩余的工程还需要的天数是x,则8x35 = L(8 + 6)x,故x = 40,即正确选 2项为C。5 .已知x y = 5且z y = 0 ,则 Y+)/_冲_)?_* =( )o分析： 由于 x-y = 5.-y = 10, 所 以 z x = 5, 从 而X1 + y2 +Z2 -xy-yz-z

4、x = -x-y)2 + (z-y)2 + (z-x)2 = 75,故正确选项为 B。 2年，我国甲省人口是全国人口的c%,其生产总值占国内生产总值的4%;乙省人口是全国 人口的6%,其生产总值占国内生产总值的7%,则2005年甲省人均生产总值与乙省人均 生产总值之比是( )ocdcecfdeA. B. C. D.cfdfdecf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他，乙省人均生产总 cp值为色，所以甲省人均生产总值与乙省人均生产总值之比是包，即正确选项为D。0P。7 ,复数 z = (l i)2 白勺模 |z| = ( )oD. 5/2分析：因为|1一，| =行，所以

5、（l i）2 =|1-/|2=2,即正确选项为C。8.三个不相同的非0实数a,Z7,c成等差数列，又4c,。恰成等比数列，则等于（）o b分析：根据条件可知2/? =。+。,”=。，从而y=（£/, 2 = - + - = （-）2+->由于 b h b b b b所以, =一2, - = 4,即正确选项为A.bb b注：本题根据j>0, £00及2 =色+ £可直接用排除法得到正确选项A。 b bb b9,任取一个正整数，其平方数的末位数字是4的概率等于（）o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,（甲）（乙）所有正整数的各位

6、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 2二= 0.2,即正确选项为B。1010 .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。分析：甲容器的容积是工，乙容器的容积是工，所以若用甲容器取水注满乙容器，则至 123少要注水8次，即正确选项为B。11 .在AABC中，AB=10, AC=8, BC=63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（ 工3411A. 3 B. 4 C. 7 D. 1

7、3 452312如图，根据条件可知MCB是直角三角形，由于CP是圆的直径，所以圆周角CMP和C NP都是直角，从而MN和CP都是正方形MCNP的对角线，所以MN = CP ="9=4+，故正确选项为B。10512.已知a <0,cos6 二+12a八 7C,则cos16 + nJ的值是（)oA. 一在 B, -11C.- 2D.B2分析：由于当一1时,+ > 1 » 这与 cos8 = 把矛盾，所以 a = -l,cos8 = -l,| 2a |2a从而cos6 + f） =-=，即正确选项为A。6213 .已知p为反比例函数y 二图像上的一点，过分别作两坐标轴

8、的平行线，交Ox轴于M,交Oy轴于N,则AMPN的面积为（）。A忘 c走 D走24如图，AMPN的面积为，xxC_ =上，即正确选项为C。 2x214 .设一个圆的圆心为p（6,?），该圆与坐标轴交于A（0,T）, B（0,12）两点，则p到 坐标原点的距离是（）。V13y/2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/n = l（M-12） = -80 到坐标原点的距离是-62+（8/ =10,即正确答案为C。215 .已知卜an8|wl,若圆(x + cos6>)2+(y + sing)2=l的圆心在第四象限，则方程 x?cos夕一)Fsine + 2 = 0

9、的图形是()。A.双曲线B.椭圆C.抛物线 D.直线分析：由于圆(x + cos，Y+(y + sin，f =1的圆心在第四象限，所以 cos<9<0,sin>0,从而x2cose )Fsine + 2 = 0的图形是一个椭圆，即正确选项 为B。16 .设函数f(x)的定义域是0,则函数g(x) = J1 x. f(sin/rx) +Jl + x f (1 + COS/TX)的定义域是()。A. x < 1 B. 0<x<l c. x <0.5 D. 0.5<x<l分析:考虑<l-x>0,1 + x > 0,0 <

10、sin 7ix < 1,0 < 1 + cosg < 1-1 < x < 1,得 v 0 W sinx < 1,- 1 < cos/rv < 0, *解得0.5«x«l。即正确选项为D,17 ,函数/(x) =-J - .在 S，+o0)上有()o1条水平渐进线2条水平渐进线1条水平渐进线2条水平渐进线A. 1条垂直渐进线,B. 1条垂直渐进线,C. 2条垂直渐进线,D. 2条垂直渐进线,分析:因为 lim /(x) = oo, lim /(x) = oo, lim f(x) = 1, lim f(x) = -l,所以曲线 x

11、>1a->2x->-hxxf-oo)，= /(x)在(y),+(力)上有2条垂直渐进线，2条水平渐进线,即正确选项为De(1218 .设/(x)在点 x = 0 处可导，且/ =( = 1,2,3,)则/'(0)=()0分析：因为/(x)在点x = 0处可导，所以其在点x = 0处连续，从而2/(0) = lim /'()= lim -=0, /'(0)= lim 一一= 2。即正确选项为C。 8 n 一>8 -8:n19 .若/(X)的二阶导数连续，且亶/(X)= 1，则对任意常数4必有)olm.r(x + 6/)-/V)=( wa. aD.

12、a /"S)分析：根据微分中值定理可知，存在介于x和x + a之间的使得/'(x + 4)-/'(x) =o 由 于 lim / (x) = l , 所 以A->+Xlim "'(工+ )一尸(幻=lim f)a = aQ即正确选项为A。X>4-00X>-KC20.设.dinx是/(x)的一个原函数，则不定积分J,(x)“x=()。2J1A. 一x In x 4 x +C B. 2.x - x In x + C 39c. x2 lnx + 2 + C x2 lnx + x2 +C分析： 由 于 f(x) = (x2 hi at) =

13、 2x In x + x, f(x)dx = x2 hi x + C , 所 以 xfxdx = Af(x) - J fx)dx = x In x + x + C。即正确选项为 Co21.设连续函数y = /(x)在0m内严格单调递增，且"0) = 0, u) = 4,若g(x)是的反函数，则 L (f (x) + g(x)“¥=( )oA.尸(u) + g2(a)B. /2(u)c 2j；/(x”xD. 2g(x)"x如图，根据定积分的几何意义可知：。(x)，a = Aj(；g(y)力= ；g(x)"x = 8,所以：/(x) + g(x)Mx = A

14、 + 8 = cJ = f2(a) o 即正确选项为 B。 u222 ,设向量%='13， 4，则向量组（4,%,%,%）A.a#c. %,%,%B. %,%,%,%D. ara2,a4分析：因为1 、0 01 -11 -1 -1 -10 -2 -1 -11°211、-1-1-100001的一个极大线形无关组是（）.量组（%,22，。3，4）的一个极大线形无关组是4，。2，。4。即正确选项为D,3 -1 1、23 .设A= 201,则A的对应于特征值2的一个特征向量是（）。J -1 2,A.B.-1-10C.D.-10-12人一1-13,W2。2-11所以A的对应于特-101

15、0(422-1、0 >征值2的一个特征向量是1 o即正确选项为D。 24 .已知X为维单位列向量，X7为X的转置，纥为单位矩阵，若G = XX，则G?等 于（ 工A. G B.± GD. En分析：G2 = XXTXXT = X(XTX)XT = XXT =G,即正确选项为A。a b c25.设4,。是方程/-2工+ 4 = 0的三个根，则行列式 c 4的值等于( )o cab分析：根据题意可知x -2x + 4 = (x-a)(x-o)(x-c) = x -(a+b + c)x +(ab+bc + ca)x-abc9所以a + + c = O, 机, = «，从而a

16、 b c333b c a = 3abc-cr -lx 一。 c a b=3abc-(cr -2«) + (Z?3 -2) + (c3 -2c) = -12-(-4-4-4) = 0,即正确选项为B.2005年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

17、，每题2分，满分100分）Part One Vocabulary and StructureDirections:There are ten incomplete sentences in this part. For 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

18、 A your entry, please bring your Admission Card with you.A. upB. onC. cutD. down2. More thunderstorms C in sumnier than any other time of the year.A. happenedB. have happenedC. happenD. will happen3. Experts say the space rock is probably D more than .$30.000.A. weightyB.costlyC. valuableD.worth.4.

19、Susan will come to watch him B at Wimbledon this week.A. playedB.playC. to playD.playing5. Children don't B understand what are reciting, but gradually it will have in impacton thinking.A. playedB. playC. to playD. playing6. Every year, thousands of college students apply for the CCTV Cup Englis

20、h Speech D.A. ArgumentB. QuarrelC. DebateD. Contest7. B shall we forget the day when we received the admission into Harvard University.A. No timeB. NeverC. No soonerD. Nonetheless8. The newly released movie was D as to arouse so much sensation among the youngpeople.B. NeverD. NonethelessA. No timeC.

21、 No sooner9. Today's popular clothing chains C teenagers, who can be counted upon to changetheir tastes every 30 days.A. resort toB. attend toC. appeal toD. apply to10. There is going to be A time for people to assess whether or not wc have made theright decision in this time of urgency.A. suffi

22、cientB. additionalC. efficientD. consequentPart Two Reading ComprehensionDirections: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

23、on the ANSWER SHEET with a single line though the center.Questions 1115 are based on the following passage:The first ancient Olympics were held in 776 . 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 ever

24、y four years.Thousands of people from all over the Greek world 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 comp

25、etitiona 200-meter race. But over time the games grew to include wrestling, 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 tr

26、eated to free dinners." Cerrato said, "City-states even tried to steal away each other's athletes by offering them various awards."The ancient Olympics existed until But the modern Olympics are still going strong.11. Where did the ancient Greeks hold their first Olympics?A. In Ath

27、ensB. In OlympicsC. In a townD. In a state12. How did researchers know that ancient 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

28、did women do since they were not allowed to participate in the Olympics?A. They 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 r

29、ace.B. wrestled with each otherC. read the accounts of the gamesD. received 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 competitionC. city-states competed with eac

30、h other to win the OlympicsD. awards were often stolen to honor the athletesQuestions 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 pl

31、aces where there is no ordinary telephone. Business people use mobiles when they're 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 mobil

32、e phone listen to music.Mobile phones are very fashionable with teenagers. Parents buy 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. It

33、9;s cool to be the owner of a small expensive mobile. Research shows that teenage owners of 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 conversatio

34、n on his phone. Or when mobile phones ring in a cafe or restaurant. But there is a much more serious problem. It s 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 cance

35、r.16. Mobile are popular among people becauseA. they think mobile are funB. they believe mobile are safeC. they love to listen to musicD. 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 pref

36、er mobile phone to ordinary telephonesC. mobile are used in places without ordinary telephoneD. 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 arc in tro

37、uble and need helpC. they can use mobile to play simple computer gamesD. mobile phone 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 h

38、armful.C. Because there is strong evidence for the problems of mobiles.D. Because people feel their privacy unprotected in a cafe 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

39、 Design Mobile?Questions 2125 are based on the following passage:At the International 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

40、July. Then, a panel of judges choose 14 teams for the championship.The rules are 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 competition s director of

41、 public relations, explained, "we will erect old sail from sail boats into the air to block the 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

42、impact on the viewer. The winner does not receive any money. "There is no cash prize because the event began 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. Wh

43、at does the phrase “white stuff' in the first paragraph refer to ?A. WoodB. Snow百度文库让每个人平等地提升自我C. IceD. Rock22. What do people start 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

44、the judges have chosen the teams.23. The sculptors cannot control the result because.A. it is extremely and warmB. it shine and/or snowsC. the sun melts their sculpturesD. old sails are raised into the air24. What is the viewer's role in the championships?A. Sculptors like to work together with

45、them.B. Judges consider their responses as choosing the winner.C. Viewers watch and help to product the sculptures.D. The organizers rate their involvement and enthusiasm.25. The winners enjoy all of the following EXCEPT.A. the cash prizeB. the friendshipC. the artD. the hard workQuestions 2630 are

46、based on the following from New York Times' electronicClassified Ads:JOB INFORMATIONJob Title:BankingEmployer:ConfidentialSource:NY Times Classified AdsLocation :New York, NYDate :09-16-2005JOB DESCRIPTIONDescription:BANKING OPENING NEW BRANCHESWe are growing domestic bank who seek exp'd sta

47、ff 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 and mktg skills. Tellers (F/T. P/T) Banking experience preferred. Customer Senr R叩s (F/T, P/T) Banking background a must. Qualified candidates should e-mail resume

48、to or fax to 2. Doral Bank is EOE. For more details visit26. of the following is NOT shown above?A. Job titleB. Annual paymentC. Ad sourceD. Job description27. Based on what you read, the ad is intended for theA. recniitmcntB. product promotionC. banking serviceD. banking refonn28. New staff are nee

49、ded because of.A. the opening of the new branchesB. the updating of the banking serviceC. the retirement of the experienced staffD. the lack of excellent management29. Which of the following is NOT mentioned in the ad?A. Branch managersB. TellersC. Customer Service RepsD. Sale managers30. Qualified

50、candidates are expected to.A. e-mail their resumes toB. visit Doral Bank in New York in personC. call 2 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 t

51、he best one 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 _3L careers with higher incomes. The increase in DINK families has s

52、hattered the Chinese traditional idea of the family and _32 typical.A survey conducted recently in Beijing by a market survey company _33 that about percent of 1300 surveyed families in Beijing said they have ?4 plans to have children. It is estimated there are about 600.000 DINK families in large c

53、ities 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 obligatio

54、n 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 discriminati

55、on 39family 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 respected.31.A.

56、 stableB. availableC. achievableD. liable32.A. had becomeB. may becomeC. becameD. becomes33.A. directedB. inducedC. indicatedD. dictated34.A. noB. notC. hardlyD. scarcely35.A. elegantB.abundantC. similarD. various36.A. tensionB. attentionC. intentionD. interaction37.A. MoreoverB. HoweverC. AccordingD. Generally38.A. mostB. moreC. latestD. less39.A. in