gct历年真题05年gct真题答案

语文部分参考答案 题号 1 2 3 4 5 6 7 8 9 10 答案 B B A A C C D C D D 题号 11 12 13 14 15 16 17 18 19 20 答案 A B B B C B D B C A 题号 21 22 23 24 25 26 27 28 29 30 答案 D A D D A B C B C D 题号 31 32 33 34 35 36 37 38 39 40 答案 D A C D C A D B D D 题号 41 42 43 44 45 46 47 48 49 50 答案 A C D A B B B C C 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. 11112356789004.0的 值 是 （ ） 。 A. B. C. D. 81982 分析：分子 ，分母 ，所以正91765432 29108765432 确选项为 A。 2.设 为正数，则p( )xp。 A. B. 9(1)（ ） x（ ） C. D. （ ） 9(1)（ ） 分析：由于 ， ，20)1(9xx 92)1(9xx ， ，根据题意便知正确选)(2x 0)(2 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： A B C D 如图，易知四边形 ABCD 的面积等于 与 的面积之和，其值为ABDC ，即正确选项为 D。540362121DAC 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13 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xx)68(21540 选项为 C。 5.已知 ，则510xyz且 2 ( )yzyz。 A.50 B.75 C.100 D.105 分析：由于 ，所以 ，从而,y5x ，故正确选项为75)()()(2122 xzyzzxzyx 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cd 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ef 乙省人均生产总值之比是（ ） 。 A. B. C. D. cdffcfdef 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cpdh 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。epfh fe 7.复数 2(1)( )ziz的 模 。 A.4 B.2 C.2 D. 2 分析：因为 ，所以 ，即正确选项为 C。21i 21)(2ii 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（ ） 。,abcbca, ab A.4 B.2 C.-4 D.-2 分析：根据条件可知 ，从而 ， ，由2, 2)( c2)( 于 ，所以 ， ，即正确选项为 A。1bcc4ba 注：本题根据 ， 及 可直接用排除法得到正确选项 A。0bc2 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 ，.01 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1232 少要注水 8 次，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ABC 与 AB 有公共点，且交 AC 于 M，交 BC 于 N，则 MN 等于（ ） 。 A. B. C. D. 3457213 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ACB 都是直角，从而和都是正方形的对角线，所以 ，故正确选项为。541068CPMN 12.已知 ，则 的值是（ ） 。 2,cosaacos6 A. B. C. D. 3223 分析：由于当 时， ，这与 矛盾，所以1a1aa21cos ，从而 ，即正确选项为。cos,3)6cos( 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p2yxp 轴于 ，交 轴于 ，则 的面积为（ ） 。OxMNP A. B.1 C. D. 224 分析： 如图， 的面积为 ，即正确选项为 C。MPN21x 14.设一个圆的圆心为 ，该圆与坐标轴交于 A ，B 两点，则p6,m0,4,12 到坐标原点的距离是（ ） 。p A.2 B.8 C.10 D.10132 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。8)24(mp10)8(62 15.已知 ，若圆 的圆心在第四象限，则方程tan122cossin1xy 的图形是（ ） 。22cosi0xy 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22cssin1xy ，从而 的图形是一个椭圆，即正确选项0sin,coo0 为 B。 16.设函数 的定义域是 ，则函数fx,1 的定义域是（ ） 。1sincosgxfx A. B. C. D. 00.5.1 分析：考虑 得 解得 。即正确选项为 D。 1cos0,in1,x,0cosin,1x5.x 17.函数 在 上有（ ） 。2f, 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. 2 条垂直渐进线，2 条水平渐进线 分析：因为 ，所以曲线1)(lim,1)(li,)(lim,)(li2 xfxfxfxf 在 上有 2 条垂直渐进线，2 条水平渐进线。即正确选项为 D。)(fy, 18.设 在点 处可导，且 则 =（ ） 。x01,23,fn 0f 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fx0x ， 。即正确选项为 C。02lim)1(li)0(nffn 21)(lim)(nfff 19.若 的二阶导数连续，且 ，则对任意常数 必有fxlixfa =（ ） 。limxfafx A. B.1 C.0 D. af 分析：根据微分中值定理可知，存在介于 和 之间的 使得xa 。由于 ，所以fxfaf )()( lim1f 。即正确选项为 A。xx )(lim 20.设 是 的一个原函数，则不定积分 =（ ） 。2nf ()xfd A. B. 331l9C2lnC C. D.322nxx 分析：由于 ，所以xdxfxf ln)(,ln2l)( 2 。即正确选项为 C。Cxdfdxf)( 21.设连续函数 在 内严格单调递增，且 ， ，若y0,a0ffa 是 的反函数，则 =( )。gffgdx A. B. 22a2 C. D. 0fxd0a 分析： a a A B )(xfy 如图，根据定积分的几何意义可知： ，所以BdxgyAdxf aaa 000)()(,)( 。即正确选项为 B。)( 20BAdxgfa 22.设向量 ， ， ， ，则向量组1 0213041 的一个极大线形无关组是（ ） 。1234, A. B. 1234, C. D. 123, 分析：因为 ，所以 101210210 向量组 的一个极大线形无关组是 。即正确选项为 D。1234,24, 23.设 A= ，则 A 的对应于特征值 2 的一个特征向量是（ ） 。0 A. B. C. D. 1001 分析：因为 ， ， 102341023 01240123 ， ，所以 A 的对应于 102 特征值 2 的一个特征向量是 。即正确选项为 D。 10 24.已知 为 维单位列向量， 为 的转置， 为单位矩阵，若 = ，则XnTXnEGTX 等于（ ） 。2G A. B. C.1 D. nE 分析： ，即正确选项为 A。GXXTTT)(2 25.设 是方程 的三个根，则行列式 的值等于（ ） 。,abc340xabc A.1 B.0 C.-1 D.-2 分析：根据题意可知 ，abcxcabxcaxcbxax )()()()(42 233 所以 ，从而4,0cba ,0)4(12)2()(333cbaabcc 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） 1C 2D 3C 4B 5C 6D 7C 8D 9B 10C 11A 12D 13D 14D 15B 16D 17A 18B 19D 20C 21B 22A 23D 24C 25B 26C 27A 28C 29A 30A 31C 32C 33D 34A 35B 36D 37B 38D 39A 40A 41B 42B 43D 44D 45C 46D 47A 48A 49D 50C 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 Structure Directions: 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 _A_ your entry, please bring your Admission Card with you. A. up B. on C. cut D. down 2. More thunderstorms _C_ in summer than any other time of the year. A. happened B. have happened C. happen D. will happen 3. Experts say the space rock is probably _D_ more than U.S.$30,000. A. weighty B. costly C. valuable D. worth. 4. Susan will come to watch him _B_ at Wimbledon this week. A. played B. play C. to play D. playing 5. Children dont _B_ understand what are reciting, but gradually it will have in impact on thinking. A. played B. play C. to play D. playing 6. Every year, thousands of college students apply for the CCTV Cup English Speech _D_. A. Argument B. Quarrel C. Debate D. Contest 7. _B_ shall we forget the day when we received the admission into Harvard University. A. No time B. Never C. No sooner D. Nonetheless 8. The newly released movie was _D_ as to arouse so much sensation among the young people. A. No time B. Never C. No sooner D. Nonetheless 9. Todays popular clothing chains _C_ teenagers, who can be counted upon to change their tastes every 30 days. A. resort to B. attend to C. 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. additional C. efficient D. consequent Part Two Reading Comprehension Directions: 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 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 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 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 treated to free dinners.” Cerrato said, “City-states even tried to steal 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 Olympics C. In a town D. In a state 12. 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 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 race. B. wrestled with each other C. read the accounts of the games D. received the treatment of free dinners 15. It can be inferred from the fourth paragraph that _ . A. the ancient athletes liked to celebrate their victories B. free dinners were offered during the competition C. city-states competed with each other to win the Olympics D. awards were often stolen to honor the athletes 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 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 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. Its 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 conversation on his phone. Or when mobile phones ring in a caf or restaurant. But there is a much more 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 fun B. they believe mobile are safe C. they love to listen to music D. they feel it easier to talk to each other 17. It is stated in the passage that Russia and China _ . A. ordinary telephone service is available everywhere B. people prefer mobile phone to ordinary telephones C. mobile are used in places without ordinary telephone D. people use mobiles to send e-mail and access the Internet 18. Parents buy mobile phone for their children because _ . A. mobile phone are very fashionable with teenagers B. they can call home if they are in trouble and need help C. they can use mobile to play simple computer games D. mobile phone enable teenagers to give up smoking 19. 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 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 Useless C. MobileA Danger to health? D. Why Do We 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 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 competitions director of 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 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. What does the phrase “white stuff” in the first paragraph refer to ? A. Wood B. Snow C. Ice D. Rock 22. 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 sketched D. As soon as the judges have chosen the teams. 23. The sculptors cannot control the result because _ . A. it is extremely and warm B. it shine and/or snows C. the sun melts their sculptures D. 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 rate their involvement and enthusiasm. 25. The winners enjoy all of the following EXCEPT _ . A. the cash prize B. the friendship C. the art D. the hard work Questions 2630 are based on the following from New York Times electronic Classified Ads: JOB INFORMATION Job Title : Banking Employer : Confidential Source : NY Times Classified Ads Location : New York, NY Date : 09-16-2005 JOB DESCRIPTION Description: BANKING OPENING NEW BRANCHES We 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 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 is NOT shown above? A. Job title B. Annual payment C. Ad source D. Job description 27. Based on what you read, the ad is intended for the _ . A. recruitment B. product promotion C. banking service D. banking reform 28. New staff are needed because of _ . A. the opening of the new branches B. the updating of the banking service C. the retirement of the experienced staff D. the lack of excellent management 29. Which of the following is NOT mentioned in the ad? A. Branch managers B. Tellers C. Customer Service Reps D. Sale managers 30. Qualified candidates are expected to _ . A. e-mail their resumes to B. visit Doral Bank in New York in person C. call 212-329-3745 for more information D. visit for a interview Part Three Cloze Directions: 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 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 the 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 cities 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 obligation 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 discrimination _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 respected. 31. A. stable B. available C. achievable D. liable 32. A. had become B. may become C. became D. becomes 33. A. directed B. induced C. indicated D. dictated 34. A. no B. not C. hardly D. scarcely 35. A. elegant B. abundant C. similar D. various 36. A. tension B. attention C. intention D. interaction 37. A. Moreover B. However C. According D. Generally 38. A. most B. more C. latest D. less 39. A. into B. to C. at D. from 40. A. wanted B. should want C. want D. had wanted Part Four Dialogue Completion Directions: In this part, there are ten short incomplete dialogues between two speakers, each followed by four choices marked A, B