(17)2004年11月试题及答案(B)
2004年高考.江苏卷.数学试题及答案
C1
(Ⅲ)求点 P 到平面 ABD1 的距离.
·O
A1
B1
·H
P
D 第 2页 （2共 6页）
A
C B
19.制定投资计划时，不仅要考虑可能获得的盈利，而且要考虑可能出现的亏损. 某投资人打算投资甲、乙两个项目. 根据预测，甲、乙项目可能的最大盈利率分别为 100
﹪和 50﹪，可能的最大亏损分别为 30﹪和 10﹪. 投资人计划投资金额不超过 10 万元，要 求确保可能的资金亏损不超过 1.8 万元. 问投资人对甲、乙两个项目各投资多少万元，才 能使可能的盈利最大？
设实数 a0，a，b 满足 f (a0 ) 0 和 b a λf (a) (Ⅰ)证明 λ 1 ，并且不存在 b0 a0 ，使得 f (b0 ) 0 ； (Ⅱ)证明 (b a0 ) 2 (1 λ2 )(a a0 ) 2 ； (Ⅲ)证明 [ f (b)]2 (1 λ2 )[ f (a)]2 .
先后抛掷 3 次，至少出现一次 6 点向上和概率是
(
)
(A) 5 216
(B) 25 216
(C) 31 216
(D) 91 216
10.函数 f (x) x 3 3x 1 在闭区间[-3，0]上的最大值、最小值分别是
(
)
(A)1，-1
(B)1，-17
(C)3，-17
(D)9，-19
11.设 k>1，f(x)=k(x-1)(x∈R) . 在平面直角坐标系 xOy 中，函数 y=f(x)的图象与 x 轴交于 A
M=N 成立的实数对(a，b)有
(
)
(A)0 个
(B)1 个
(C)2 个
(D)无数多个
二、填空题(4 分×4=16 分)
2004年高考试题全国卷(河南
2004年高考试题全国卷(河南、河北等地区)英语试题及答案一、听力第一节（共两节，满分30分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例：How much is the shirt? A. 19.15. B. 9.15. C. 9.18. 答案是B。
1、What do we learn about the man.（本题分值：1.5分）【正确答案】BA. He slept well on the plane.B. He had a long trip.C. He had a meeting.2、Why will the woman stay home in the evening?（本题分值：1.5分）【正确答案】AA. To wait for a call.B. To watch a ball game on TV.C. To have dinner with a friend.3、What gift will the woman probably get for Mary? （本题分值：1.5分）【正确答案】BA. A school bag.B. A record.C. A theatre ticket.4、What does the man mainly do in his spare time?（本题分值：1.5分）【正确答案】AA. Learn a language.B. Do some sports.C. Play the piano.5、What did the woman like doing when she was young?（本题分值：1.5分）【正确答案】CA. Riding a bicycle with friends.B. Travelling the country.C. Reading alone.二、听力第二节（共15小题，每小题1.5分，满分22.5分）听下面5段对话或独白。
2004年全国考研英语试题及答案.doc
2004年全国硕士研究生入学统一考试英语试题Section II Use of EnglishDirections:Read the following text. Choose the best word (s) for each numbered blank and mark [A], [B], [C] or [D] on ANSWER SHEET 1. (10 points)Many theories concerning the causes of juvenile delinquency (crimes committed by young people) focus either on the individual or on society as the major contributing influence. Theories 大21家on the individual suggest that children engage in criminal behavior 大22家they were not sufficiently penalized for previous misdeeds or that they have learned criminal behavior through 大23家with others. Theories focusing on the role of society suggest that children commit crimes in 大24家to their failure to rise above their socioeconomic status, 大25家as a rejection of middle-class values.Most theories of juvenile delinquency have focused on children from disadvantaged families, 大26家the fact that children from wealthy homes also commit crimes. The latter may commit crimes 大27家lack of adequate parental control. All theories, however, are tentative and are 大28家to criticism.Changes in the social structure may indirectly 大29家juvenile crime rates. For example, changes in the economy that 大30家to fewer job opportunities for youth and rising unemployment 大31家make gainful employment increasingly difficult to obtain. The resulting discontent may in 大32家lead moreyouths into criminal behavior.Families have also 大33家changes these years. More families consist of one-parent households or two working parents; 大34家, children are likely to have less supervision at home 大35家was common in the traditional family 大36家. This lack of parental supervision is thought to be an influence on juvenile crime rates. Other 大37家causes of offensive acts include frustration or failure in school, the increased 大38家of drugs and alcohol, and the growing 大39家of child abuse and child neglect. All these conditions tend to increase the probability of a child committing a criminal act, 大40家 a directcausal relationship has not yet been established.21. [A] acting[B] relying[C] centering[D] commenting22. [A] before[B] unless[C] until[D] because23. [A] interaction[B] assimilation[C] cooperation[D] consultation24. [A] return[B] reply[C] reference[D] response25. [A] or[B] but rather[C] but[D] or else26. [A] considering[B] ignoring[C] highlighting[D] discarding27. [A] on[B] in[C] for[D] with28. [A] immune[B] resistant[C] sensitive[D] subject29. [A] affect[B] reduce[C] check[D] reflect30. [A] point[B] lead[C] come[D] amount31. [A] in general[B] on average[C] by contrast[D] at length32. [A] case[B] short[C] turn[D] essence33. [A] survived[B] noticed[C] undertaken[D] experienced34. [A] contrarily[B] consequently[C] similarly[D] simultaneously35. [A] than[B] that[C] which[D] as36. [A] system[B] structure[C] concept[D] heritage37. [A] assessable[B] identifiable[C] negligible[D] incredible38. [A] expense[B] restriction[C] allocation[D] availability39. [A] incidence[B] awareness[C] exposure[D] popularity40. [A] provided[B] since[C] although[D] supposingSection III Reading ComprehensionPart ADirections:Read the following four texts. Answer the questions below each text by choosing [A], [B], [C] or [D]. Markyour answers on A NSWER SHEET 1. (40 points)Text 1Hunting for a job late last year, lawyer Gant Redmon stumbled across CareerBuilder, a job database onthe Internet. He searched it with no success but was attracted by the site’s “personal se interactive feature that lets visitors key in job criteria such as location, title, and salary, then E-mails themlegal, intellectual property,when a matching position is posted in the database. Redmon chose the keywordsand Washington, D.C. Three weeks later, he got his first notification of an open ing. “I struck g old,” says Redmon, who E-mailed his resume to the employer and won a position as in-house counsel for a company.With thousands of career-related sites on the Internet, finding promising openings can betime-consuming and inefficient. Search agents reduce the need for repeated visits to the databases. B ut although a search agent worked for Redmon, career experts see drawbacks. Narrowing your criteria, for example, may work against you: “Every time you answer a question you eliminate a possibility.expert.For any job search, you should start with a narrow concept—what you think you want to do -- then broaden it. “None of these programs do that,” says another expert. “There’s no career coe best strategy is to use the agent as a kind of tip service to keep abreast of jobs in aall of this.” Instead, thparticular database; when you get E-mail, consider it a reminder to check the database again. “rely on agents for finding everything that is added to a da tabase that might interest me,” says the author job-searching guide.agent sends out Some sites design their agents to tempt job hunters to return. When CareerSite’smessages to those who have signed up for its service, for example, it includes only three potential jobs --those it considers the best matches. There may be more matches in the database; job hunters will have tovisit the site again to find them -- and they do. “On the day after we send our messages, we see a sharp increase in our traffic,” says Seth Peets, vice president of marketing for CareerSite.Even those who aren’t hunting for jobs may find search agents worthwhile. Some use them to keep a close watch on the demand for their line of work or gather information on compensation to arm themselveswhen negotiating for a raise. Although happily employed, Redmon maintains his agent at CareerBuilder. “You always keep your eyes open,” he says. Working with a personal search agent means having anoth of eyes looking out for you.41. How did Redmon find his job?[A] By searching openings in a job database.[B] By posting a matching position in a database.[C] By using a special service of a database.[D] By E-mailing his resume to a database.42. Which of the following can be a disadvantage of search agents?[A] Lack of counseling.[B] Limited number of visits.[C] Lower efficiency.[D] Fewer successful matches.43. The expression “tip service” (Line 4, Paragraph 3) most probably means ________.[A] advisory[B] compensation[C] interaction[D] reminder44. Why does CareerSite’s agent offer each job hunter only three job options?[A] To focus on better job matches.[B] To attract more returning visits.[C] To reserve space for more messages.[D] To increase the rate of success.45. Which of the following is true according to the text?[A] Personal search agents are indispensable to job-hunters.[B] Some sites keep E-mailing job seekers to trace their demands.[C] Personal search agents are also helpful to those already employed.[D] Some agents stop sending information to people once they are employed.Text 2Over the past century, all kinds of unfairness and discrimination have been condemned or made illegal.But one insidious form continues to thrive: alphabetism. This, for those as yet unaware of such a disadvantage, refers to discrimination against those whose surnames begin with a letter in the lower half ofthe alphabet.It has long been known that a taxi firm called AAAA cars has a big advantage over Zodiac cars when customers thumb through their phone directories. Less well known is the advantage that Adam Abbott has inlife over Zo?Zysman. English names are fairly evenly spread between the halves of the alphabet. Yet a suspiciously large number of top people have surnames beginning with letters between A and K.Thus the American president and vice-president have surnames starting with B and C respectively; and26 of George Bush’s predecessors (including his father) had surnames in the first half of the alphabet agains just 16 in the second half. Even more striking, six of the seven heads of government of the G7 rich countriesare alphabetically advantaged (Berlusconi, Blair, Bush, Chirac, Chrétien and Koizumi). The world’top central bankers (Greenspan, Duisenberg and Hayami) are all close to the top of the alphabet, even if oneof them really uses Japanese characters. As are the world’s five richest men (Gates, Buffett, Alle and Albrecht).Can this merely be coincidence? One theory, dreamt up in all the spare time enjoyed by the alphabetically disadvantaged, is that the rot sets in early. At the start of the first year in infant school, teachers seat pupils alphabetically from the front, to make it easier to remember their names. Soshort-sighted Zysman junior gets stuck in the back row, and is rarely asked the improving questions posedby those insensitive teachers. At the time the alphabetically disadvantaged may think they have had a lucky escape. Yet the result may be worse qualifications, because they get less individual attention, as well as less confidence in speaking publicly.The humiliation continues. At university graduation ceremonies, the ABCs proudly get their awardsfirst; by the time they reach the Zysmans most people are literally having a ZZZ. Shortlists for job interviews, election ballot papers, lists of conference speakers and attendees: all tend to be drawn upalphabetically, and their recipients lose interest as they plough through them.46. What does the author intend to illustrate with AAA A cars and Zodiac cars?[A] A kind of overlooked inequality.[B] A type of conspicuous bias.[C] A type of personal prejudice.[D] A kind of brand discrimination.47. What can we infer from the first three paragraphs?[A] In both East and West, names are essential to success.[B] The alphabet is to blame for the failure of Zo? Zysman.[C] Customers often pay a lot of attention to companies’ names.[D] Some form of discrimination is too subtle to recognize.48. The 4th paragraph suggests that ________.[A] questions are often put to the more intelligent students[B] alphabetically disadvantaged students often escape from class[C] teachers should pay attention to all of their students[D] students should be seated according to their eyesight-3, Paragraph 5)?49. What does the author m ean by “most people are literally having a ZZZ” (Lines 2[A] They are getting impatient.[B] They are noisily dozing off.[C] They are feeling humiliated.[D] They are busy with word puzzles.50. Which of the following is true according to the text?[A] People with surnames beginning with N to Z are often ill-treated.[B] VIPs in the Western world gain a great deal from alphabetism.[C] The campaign to eliminate alphabetism still has a long way to go.[D] Putting things alphabetically may lead to unintentional bias.Text 3-year-old When it comes to the slowing economy, Ellen Spero isn’t biting her nails just yet. But the 47 manicurist isn’t cutting, filling or polishing as many nails as she’d like to, either. Most of $12 to $50 weekly, but last month two longtime customers suddenly stopped showing up. Spero blames thea good economic indicator,” she says. “I provide a service that people can do softening economy. “I’mSo Spero is downscaling, shopping at without when they’re concerned about saving some dollars.” middle-brow Dillard’s department store near her suburban Cleveland home, instead of Neiman Marcus. don’t know if other clients are going to abandon me, too.” she says.-hot economy is cooling, lots of working Even before Alan Greenspan’s admission that America’s redfolks had already seen signs of the slowdown themselves. From car dealerships to Gap outlets, sales havebeen lagging for months as shoppers temper their spending. For retailers, who last year took in 24 percent of their revenue between Thanksgiving and Christmas, the cautious approach is coming at a crucial time. Already, experts say, holiday sales are off 7 percent from last year’s pace. But don’t s yet. Consumers seem only mildly concerned, not panicked, and many say they remain optimistic about the economy’s long-term prospects, even as they do some modest belt-tightening.Consumers say they’re not in despair because, despite the dreadful headlines, their own fortunes still feel pretty good. Home prices are holding steady in most regions. In Manhattan, “there’s a happening in the $4 million to $10 million range, predominantly fed by Wall Street bonuses,Barbara Corcoran. In San Francisco, prices are still rising even as frenzied overbidding quiets. “Inst-estate broker. And20 to 30 offers, now maybe you only get two or three,” says John Tealdi, a Bay Area realmost folks still feel pretty comfortable about their ability to find and keep a job.Many folks see silver linings to this slowdown. Potential home buyers would cheer for lower interestrates. Employers wouldn’t mind a little fewer bubbles in the job market. Many consumers seem to have beeinfluenced by stock-market swings, which investors now view as a necessary ingredient to a sustained boom. Diners might see an upside, too. Getting a table at Manhattan’s hot new Alain Ducasse restaur impossible. Not anymore. For that, Greenspan & Co. may still be worth toasting.-2, Paragraph 1), the author means ________.51. By “Ellen Spero isn’t biting her nails just yet” (Lines 1[A] Spero can hardly maintain her business[B] Spero is too much engaged in her work[C] Spero has grown out of her bad habit[D] Spero is not in a desperate situation52. How do the public feel about the current economic situation?[A] Optimistic.[B] Confused.[C] Carefree.[D] Panicked.-4, Paragraph 3) the author is talking53. When mentioning “the $4 million to $10 million range” (Lines 3about ________.[A] gold market[B] real estate[C] stock exchange[D] venture investment54. Why can many people see “silver linings” to the economic slowdown?[A] They would benefit in certain ways.[B] The stock market shows signs of recovery.[C] Such a slowdown usually precedes a boom.[D] The purchasing power would be enhanced.55. To which of the following is the author likely to agree?[A] A new boom, on the horizon.[B] Tighten the belt, the single remedy.[C] Caution all right, panic not.[D] The more ventures, the more chances.Text 4Americans today don’t place a very high value on intellect. Our heroes are athletes, entertainers, and entrepreneurs, not scholars. Even our schools are where we send our children to get a practical education --not to pursue knowledge for the sake of knowledge. Symptoms of pervasive anti-intellectualism in our schools aren’t difficult to find.says “Schools have always been in a society where practical is more important than intellectual,” Left Back: A education writer Diane Ravitch. “Schools could be a counterbalance.” Ravitch’s latest boo Century of Failed School Reforms, traces the roots of anti-intellectualism in our schools, concluding they are anything but a counterbalance to the American distaste for intellectual pursuits.But they could and should be. Encouraging kids to reject the life of the mind leaves them vulnerable to exploitation and control. Without the ability to think critically, to defend their ideas and understand the ideasof others, they cannot fully participate in our democracy. Continuing along this path, says writer Earl Shorris, “We will become a second-rate country. We will have a less civil society.”“Intellect is resented as a form of power or privilege,” writes historian and professor Ric in Anti-Intellectualism in American Life, a Pulitzer-Prize winning book on the roots of anti-intellectualism inUS politics, religion, and education. From the beginning of our history, says Hofstadter, our democratic and populist urges have driven us to reject anything that smells of elitism. Practicality, common sense, and native intelligence have been considered more noble qualities than anything you could learn from a book.Ralph Waldo Emerson and other Transcendentalist philosophers thought schooling and rigorous book learning put unnatural restraints on children: “We are shut up in schools and college recitation roMark Twain’sor 15 years and come out at last with a bellyful of words and do not know a thing.” Huckleberry Finn exemplified American anti-intellectualism. Its hero avoids being civilized -- going to school and learning to read -- so he can preserve his innate goodness.Intellect, according to Hofstadter, is different from native intelligence, a quality we reluctantly admire. Intellect is the critical, creative, and contemplative side of the mind. Intelligence seeks to grasp, manipulate,re-order, and adjust, while intellect examines, ponders, wonders, theorizes, criticizes and imagines.School remains a place where intellect is mistrusted. Hofstadter says our country’s e is in the grips of people who “joyfully and militantly proclaim their hostility to intellect and their eagerne to identify with children who show the least intellectual promise.”56. What do American parents expect their children to acquire in school?[A] The habit of thinking independently.[B] Profound knowledge of the world.[C] Practical abilities for future career.[D] The confidence in intellectual pursuits.57. We can learn from the text that Americans have a history of ________.[A] undervaluing intellect[B] favoring intellectualism[C] supporting school reform[D] suppressing native intelligence58. The views of Ravitch and Emerson on schooling are ________.[A] identical[B] similar[C] complementary[D] opposite59. Emerson, according to the text, is probably ________.[A] a pioneer of education reform[B] an opponent of intellectualism[C] a scholar in favor of intellect[D] an advocate of regular schooling60. What does the author think of intellect?[A] It is second to intelligence.[B] It evolves from common sense.[C] It is to be pursued.[D] It underlies power.Part BDirections:Read the following text carefully and then translate the underlined segments into Chinese. Your translation should be written clearly on ANSWER SHEET 2. (10 points)The relation of language and mind has interested philosophers for many centuries. 61) The Greeks assumed that the structure of language had some connection with the process of thought, which took root in Europe long before people realized how diverse languages could be.Only recently did linguists begin the serious study of languages that were very different from their own.Two anthropologist-linguists, Franz Boas and Edward Sapir, were pioneers in describing many native languages of North and South America during the first half of the twentieth century. 62) We are obliged tothem because s ome of these languages have since vanished, as the peoples who spoke them died out or became assimilated and lost their native languages. Other linguists in the earlier part of this century, however,nguage, were not always so grateful. 63) Thewho were less eager to deal with bizarre data from “exotic” lanewly described languages were often so strikingly different from the well studied languages of Europe and Southeast Asia that some scholars even accused Boas and Sapir of fabricating their data. Native Americanlanguages are indeed different, so much so in fact that Navajo could be used by the US military as a code during World War II to send secret messages.pupil, Benjamin Lee Whorf, continued the study of American Indian languages. 64) Being Sapir’sinterested in the relationship of language and thought, Whorf developed the idea that the structure of language determines the structure of habitual thought in a society. He reasoned that because it is easier to formulate certain concepts and not others in a given language, the speakers of that language think along one track and not along another. 65) Whorf came to believe in a sort of linguistic determinism which, in its strongest form, states that language imprisons the mind, and that the grammatical patterns in a language can produce far-reaching consequences for the culture of a society. Later, this idea became to be known as the Sapir-Whorf hypothesis, but this term is somewhat inappropriate. Although both Sapir and Whorf emphasized the diversity of languages, Sapir himself never explicitly supported the notion of linguistic determinism.2004年考研英语真题答案Section II: Use of English (10 points)21. [C] 22. [D] 23. [A] 24. [D] 25. [A]26. [B] 27. [C] 28. [D] 29. [A] 30. [B]31. [A] 32. [C] 33. [D] 34. [B] 35. [A]36. [B] 37. [B] 38. [D] 39. [A] 40. [C]Section III: Reading Comprehension (50 points)Part A (40 points)41. [C] 42. [A] 43. [D] 44. [B] 45. [C]46. [A] 47. [D] 48. [C] 49. [B] 50. [D]51. [D] 52. [A] 53. [B] 54. [A] 55. [C]56. [C] 57. [A] 58. [D] 59. [B] 60. [C]Part B (10 points)61. 希腊人认为, 语言结构与思维过程之间存在着某种联系。
2004年高考.江苏卷.数学试题及答案
时间(小时) 2004年普通高等学校招生全国统一考试数学（江苏卷）一、选择题(5分×12=60分)1.设集合P={1，2，3，4}，Q={R x x x ∈≤,2}，则P ∩Q 等于( )(A){1，2} (B) {3，4} (C) {1} (D) {-2，-1，0，1，2}2.函数y=2cos 2x+1(x ∈R )的最小正周期为( ) (A)2π (B)π (C)π2 (D)π4 3.从4名男生和3名女生中选出4人参加某个座谈会，若这4人中必须既有男生又有女生，则不同的选法共有 ( )(A)140种 (B)120种 (C)35种 (D)34种4.一平面截一球得到直径是6cm 的圆面，球心到这个平面的距离是4cm ，则该球的体积是( ) (A)33π100cm (B) 33π208cm (C) 33π500cm (D) 33π3416cm 5.若双曲线18222=-by x 的一条准线与抛物线x y 82=的准线重合，则双曲线离心率为 ( ) (A)2 (B)22 (C) 4 (D)246.某校为了了解学生的课外阅读情况，随机调查了50名学生，得到他们在某一天各自课外阅读所用时间的数据，结果用右侧的条形图表示. 根据条形图可得这50名学生这一天平均每人的课外阅读时间为 ( )(A)0.6小时 (B)0.9小时 (C)1.0小时 (D)1.5小时7.4)2(x x +的展开式中x 3的系数是 ( )(A)6 (B)12 (C)24 (D)488.若函数)1,0)((log ≠>+=a a b x y a 的图象过两点(-1，0)和(0，1)，则 ( )(A)a=2,b=2 (B)a= 2 ,b=2 (C)a=2,b=1 (D)a= 2 ,b= 29.将一颗质地均匀的骰子（它是一种各面上分别标有点数1，2，3，4，5，6的正方体玩具）先后抛掷3次，至少出现一次6点向上和概率是 ( )(A)5216 (B)25216 (C)31216 (D)9121610.函数13)(3+-=x x x f 在闭区间[-3，0]上的最大值、最小值分别是 ( )(A)1，-1 (B)1，-17 (C)3，-17 (D)9，-1911.设k>1，f(x)=k(x-1)(x ∈R ) . 在平面直角坐标系xOy 中，函数y=f(x)的图象与x 轴交于A点，它的反函数y=f -1(x)的图象与y 轴交于B 点，并且这两个函数的图象交于P 点. 已知四边形OAPB 的面积是3，则k 等于 ( )(A)3 (B)32 (C)43 (D)6512.设函数)(1)(R x xx x f ∈+-=，区间M=[a ，b](a<b)，集合N={M x x f y y ∈=),(}，则使M=N 成立的实数对(a ，b)有 ( )(A)0个 (B)1个 (C)2个 (D)无数多个二、填空题(4分×4=16分)13.二次函数y=ax 2+bx+c(x ∈R )的部分对应值如下表：则不等式ax +bx+c>0的解集是_______________________.14.以点(1，2)为圆心，与直线4x+3y-35=0相切的圆的方程是________________.15.设数列{a n }的前n 项和为S n ，S n =2)13(1-n a (对于所有n ≥1)，且a 4=54，则a 1的数值是_______________________.16.平面向量,中，已知a =(4，-3)=1，且b a ⋅=5，则向量b =__________.三、解答题(12分×5+14分=74分)17.已知0<α<2π，tan 2α+cot 2α=25，求sin(3πα-)的值. 18.在棱长为4的正方体ABCD-A 1B 1C 1D 1中，O 是正方形A 1B 1C 1D 1的中心，点P 在棱CC 1上，且CC 1=4CP.(Ⅰ)求直线AP 与平面BCC 1B 1所成的角的大小（结果用反三角函数值表示）；(Ⅱ)设O 点在平面D 1AP 上的射影是H ，求证：D 1H ⊥AP ； (Ⅲ)求点P 到平面ABD 1的距离.· B 1 P D A 1 C 1 D 1O H ·19.制定投资计划时，不仅要考虑可能获得的盈利，而且要考虑可能出现的亏损.某投资人打算投资甲、乙两个项目. 根据预测，甲、乙项目可能的最大盈利率分别为100﹪和50﹪，可能的最大亏损分别为30﹪和10﹪. 投资人计划投资金额不超过10万元，要求确保可能的资金亏损不超过1.8万元. 问投资人对甲、乙两个项目各投资多少万元，才能使可能的盈利最大？20.设无穷等差数列{a n }的前n 项和为S n .(Ⅰ)若首项=1a 32 ，公差1=d ，求满足2)(2k kS S =的正整数k ； (Ⅱ)求所有的无穷等差数列{a n }，使得对于一切正整数k 都有2)(2k k S S=成立.21.已知椭圆的中心在原点，离心率为12，一个焦点是F （-m,0）(m 是大于0的常数). (Ⅰ)求椭圆的方程；(Ⅱ)设Q 是椭圆上的一点，且过点F 、Q 的直线l 与y 轴交于点M. =，求直线l 的斜率.22.已知函数))((R x x f ∈满足下列条件：对任意的实数x 1，x 2都有)]()()[()(λ2121221x f x f x x x x --≤-和2121)()(x x x f x f -≤-，其中λ是大于0的常数.设实数a 0，a ，b 满足 0)(0=a f 和)(λa f a b -=(Ⅰ)证明1λ≤，并且不存在00a b ≠，使得0)(0=b f ；(Ⅱ)证明20220))(λ1()(a a a b --≤-；(Ⅲ)证明222)]()[λ1()]([a f b f -≤.2004年普通高等学校招生全国统一考试数学（江苏卷）参考答案 一、选择题ABDCA BCADC BA二、填空题13、{2x x <-或3}x >14、22(1)(1)25x y -+-=15、216、43(,)55b =-三、解答题17、解：由题意可知4sin 5α=，sin()3πα∴-=18、解（1）arctan APB ∠=（2）略（319、解：10318x y x y +≤⎧⎨+≤⎩，设0.5z x y =+当46x y =⎧⎨=⎩时，z 取最大值7万元20、解：（1）4k =（2）100a d =⎧⎨=⎩或112a d =⎧⎨=⎩或110ad =⎧⎨=⎩21、解：（1）2222143x y m m +=（2）k =±或022、解：（1）不妨设12x x >，由[]2121212()()()()x x x x f x f x λ-≤-⋅-可知12()()0f x f x ->，()f x ∴是R 上的增函数∴不存在00b a ≠，使得0()0f b =又[]2212121212()()()()()x x x x f x f x x x λ-≤-⋅-≤-1λ∴≤（2）要证：222000()(1)()b a a a λ-≤--即证：2200()()2()()a a f a f a a a λ⎡⎤-+≤-⎣⎦(*) 不妨设0a a >，由[]2121212()()()()x x x x f x f x λ-≤-⋅-得00()()()f a f a a a λ-≥-，即0()()f a a a λ≥-，则2002()()2()f a a a a a λ-≥- （1） 由1212()()f x f x x x -≤-得00()()f a f a a a -≤- 即0()f a a a ≤-，则22200()()2()a a f a a a λλ⎡⎤-+≤-⎣⎦ （2） 由（1）（2）可得2200()()2()()a a f a f a a a λ⎡⎤-+≤-⎣⎦222000()(1)()b a a a λ∴-≤--（3）220[()]()f a a a ≤-,22220(1)[()](1)()f a a a λλ∴-≤--220[()]()f b b a ≤-又由（2）中结论222000()(1)()b a a a λ-≤--222[()](1)[()]f b f a λ∴≤-。
2004年高考试题全国卷英语试题及答案
2004年高考试题全国卷英语试题及答案一、听力第一节（共两节，满分30分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例：How much is the shirt? A. 19.15. B. 9.15. C. 9.18. 答案是B。
1、What do we learn about the man.（本题分值：1.5分）【正确答案】 BA. He slept well on the plane.B. He had a long trip.C. He had a meeting.2、Why will the woman stay home in the evening?（本题分值：1.5分）【正确答案】 AA. To wait for a call.B. To watch a ball game on TV.C. To have dinner with a friend.3、What gift will the woman probably get for Mary? （本题分值：1.5分）【正确答案】 BA. A school bag.B. A record.C. A theatre ticket.4、What does the man mainly do in his spare time?（本题分值：1.5分）【正确答案】 AA. Learn a language.B. Do some sports.C. Play the piano.5、What did the woman like doing when she was young?（本题分值：1.5分）【正确答案】 CA. Riding a bicycle with friends.B. Travelling the country.C. Reading alone.二、听力第二节（共15小题，每小题1.5分，满分22.5分）听下面5段对话或独白。
2004年高考全国卷Ⅰ理科数学试题及答案(河南、河北、山东、山西、安徽、江西等地区)
普通高等学校招生全国统一考试（全国卷Ⅰ） (河南、河北、山东、山西、安徽、江西等地区)理科数学（必修+选修Ⅱ）本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分. 共150分. 考试时间120分钟.第I 卷（选择题 共60分）参考公式： 如果事件A 、B 互斥，那么P （A+B ）=P （A ）+P （B ） 如果事件A 、B 相互独立，那么P （A ·B ）=P （A ）·P （B ）如果事件A 在一次试验中发生的概率是P ，那么 n 次独立重复试验中恰好发生k 次的概率P n (k)=C k n P k (1－P)n －k一、选择题 ：本大题共12小题，每小题6分，共60。
1．(1－i)2·i= （ ）A ．2－2iB ．2+2iC ．－2D ．2 2．已知函数=-=+-=)(.)(.11lg )(a f b a f xxx f 则若 （ ）A ．bB ．－bC ．b1D ．－b1 3．已知a 、b 均为单位向量，它们的夹角为60°，那么|a +3b |= （ ）A ．7B ．10C ．13D ．4 4．函数)1(11≥+-=x x y 的反函数是（ ） A ．y=x 2－2x +2(x <1) B ．y=x 2－2x +2(x ≥1)C ．y=x 2－2x (x <1)D ．y=x 2－2x (x ≥1) 5．73)12(xx -的展开式中常数项是（ ）A ．14B ．－14C ．42D ．－426．设A 、B 、I 均为非空集合，且满足A ⊆B ⊆I ，则下列各式中错误．．的是 （ ）A ．( I A)∪B=IB ．( I A)∪( I B)=IC ．A ∩( IB)=φD ．( I A) ∩( I B)= I B球的表面积公式S=42R π其中R 表示球的半径， 球的体积公式V=334R π， 其中R 表示球的半径7．椭圆1422=+y x 的两个焦点为F 1、F 2，过F 1作垂直于x 轴的直线与椭圆相交，一个交点为P ，则||2PF =（ ）A ．23B ．3C ．27 D ．48．设抛物线y 2=8x 的准线与x 轴交于点Q ，若过点Q 的直线l 与抛物线有公共点，则直线l 的斜率的取值范围是（ ）A ．[－21，21] B ．[－2，2]C ．[－1，1]D ．[－4，4]9．为了得到函数)62sin(π-=x y 的图象，可以将函数x y 2cos =的图象（ ） A ．向右平移6π个单位长度 B ．向右平移3π个单位长度C ．向左平移6π个单位长度D ．向左平移3π个单位长度10．已知正四面体ABCD 的表面积为S ，其四个面的中心分别为E 、F 、G 、H.设四面体EFGH的表面积为T ，则ST等于（ ）A ．91B ．94C ．41 D ．31 11．从数字1，2，3，4，5，中，随机抽取3个数字（允许重复）组成一个三位数，其各位数字之和等于9的概率为 （ ）A ．12513B ．12516 C ．12518 D ．12519 12．ca bc ab a c c b b a ++=+=+=+则,2,2,1222222的最小值为 （ ）A ．3－21 B ．21－3 C ．－21－3 D ．21+3第Ⅱ卷（非选择题 共90分）二、填空题：本大题共4小题，每小题4分，共16分.把答案填在题中横线上. 13．不等式|x +2|≥|x |的解集是 .14．由动点P 向圆x 2+y 2=1引两条切线PA 、PB ，切点分别为A 、B ，∠APB=60°，则动点P 的轨迹方程为 .15．已知数列{a n }，满足a 1=1，a n =a 1+2a 2+3a 3+…+(n －1)a n －1(n ≥2)，则{a n }的通项 1, n=1, a n =,n ≥2.16．已知a 、b 为不垂直的异面直线，α是一个平面，则a 、b 在α上的射影有可能是 .①两条平行直线 ②两条互相垂直的直线 ③同一条直线④一条直线及其外一点三、解答题：本大题共6小题，共74分.解答应写出文字说明，证明过程或演算步骤. 17．（本小题满分12分）求函数xxx x x x f 2sin 2cos sin cos sin )(2244-++=的最小正周期、最大值和最小值.18．（本小题满分12分）19．（本小题满分12分）已知,R a ∈求函数axe x xf 2)(=的单调区间.20．（本小题满分12分）如图，已知四棱锥 P —ABCD ，PB ⊥AD 侧面PAD 为边长等于2的正三角形，底面ABCD 为菱形，侧面PAD 与底面ABCD 所成的二面角为120°.（I ）求点P 到平面ABCD 的距离，（II ）求面APB 与面CPB 所成二面角的大小. 21．（本小题满分12分）设双曲线C ：1:)0(1222=+>=-y x l a y ax 与直线相交于两个不同的点A 、B.（I ）求双曲线C 的离心率e 的取值范围： （II ）设直线l 与y 轴的交点为P ，且.125PB PA =求a 的值. 22．（本小题满分14分）已知数列1}{1=a a n 中，且 a 2k =a 2k －1+(－1)K ,a 2k+1=a 2k +3k , 其中k=1,2,3,……. （I ）求a 3, a 5；（II ）求{ a n }的通项公式.2004年普通高等学校招生全国统一考试理科数学（必修+选修I ）参考答案一、选择题DBCBABCCBADB二、填空题：本大题共4小题，每小题4分，共16分.把答案填在题中横线上. 13．{x |x ≥－1} 14．x 2+y 2=4 15．2!n 16．①②④ 三、解答题 17．本小题主要考查三角函数基本公式和简单的变形，以及三角函娄的有关性质.满分12分.解：xx xx x x x f cos sin 22cos sin )cos (sin )(22222--+=212sin 41)cos sin 1(21)cos sin 1(2cos sin 122+=+=--=x x x x x x x所以函数f (x )的最小正周期是π，最大值是43，最小值是41. 18．本小题主要考查离散型随机变量分布列和数学期望等概念.考查运用概率知识解决实际问题的能力.满分12分. 解：P(ξ=0)=0.52×0.62=0.09.P(ξ=1)=12C ×0.52×0.62+12C ×0.52×0.4×0.6=0.3P(ξ=2)= 22C ×0.52×0.62+12C 12C ×0.52×0.4×0.6+22C ×0.52×0.42=0.37. P(ξ=3)= 22C 12C ×0.52×0.4×0.6+12C 22C ×0.52×0.42=0.2 P(ξ=4)= 0.52×0.42=0.0419．本小题主要考查导数的概率和计算，应用导数研究函数性质的方法，考查分类讨论的数学思想.满分12分. 解：函数f (x )的导数：.)2(2)(22ax ax ax e ax x e ax xe x f ++=+='（I ）当a =0时，若x <0，则)(x f '<0，若x >0,则)(x f '>0.所以当a =0时，函数f (x )在区间（－∞，0）内为减函数，在区间（0，+∞）内为增函数.（II ）当,02,02,02>-<>+>x ax ax x a 或解得由时 由.02,022<<-<+x aax x 解得 所以，当a >0时，函数f (x )在区间（－∞，－a 2）内为增函数，在区间（－a 2，0）内为减函数，在区间（0，+∞）内为增函数；（III ）当a <0时，由2x +ax 2>0，解得0<x <－a2, 由2x +ax 2<0，解得x <0或x >－a2. 所以当a <0时，函数f (x )在区间（－∞，0）内为减函数，在区间（0，－a2）内为增函数，在区间（－a2，+∞）内为减函数. 20．本小题主要考查棱锥，二面角和线面关系等基本知识，同时考查空间想象能力和推理、运算能力.满分12分.（I ）解：如图，作PO ⊥平面ABCD ，垂足为点O.连结OB 、OA 、OD 、OB 与AD 交于点E ，连结PE.∵AD ⊥PB ，∴AD ⊥OB ，∵PA=PD ，∴OA=OD ，于是OB 平分AD ，点E 为AD 的中点，所以PE ⊥AD.由此知∠PEB 为面PAD 与面ABCD 所成二面角的平面角， ∴∠PEB=120°，∠PEO=60°由已知可求得PE=3∴PO=PE ·sin60°=23233=⨯， 即点P 到平面ABCD 的距离为23. （II ）解法一：如图建立直角坐标系，其中O 为坐标原点，x 轴平行于DA.)43,433,0(),0,233,0(),23,0,0(的坐标为中点G PB B P .连结AG.又知).0,233,2(),0,23,1(-C A 由此得到： 0,0).0,0,2(),23,233,0(),43,43,1(=⋅=⋅-=-=--=GA 于是有所以θ的夹角,.⊥⋅⊥ 等于所求二面角的平面角， 于是,772||||cos -=⋅=BC GA θ 所以所求二面角的大小为772arccos-π . 解法二：如图，取PB 的中点G ，PC 的中点F ，连结EG 、AG 、GF ，则AG ⊥PB ，FG//BC ，FG=21BC. ∵AD ⊥PB ，∴BC ⊥PB ，FG ⊥PB ， ∴∠AGF 是所求二面角的平面角. ∵AD ⊥面POB ，∴AD ⊥EG.又∵PE=BE ，∴EG ⊥PB ，且∠PEG=60°. 在Rt △PEG 中，EG=PE ·cos60°=23. 在Rt △PEG 中，EG=21AD=1.于是tan ∠GAE=AE EG =23, 又∠AGF=π－∠GAE.所以所求二面角的大小为π－arctan23. 21．（本小题主要考查直线和双曲线的概念和性质，平面向量的运算等解析几何的基本思想和综合解题能力.满分12分. 解：（I ）由C 与t 相交于两个不同的点，故知方程组⎪⎩⎪⎨⎧=+=-.1,1222y x y ax 有两个不同的实数解.消去y 并整理得（1－a 2）x 2+2a 2x －2a 2=0. ①.120.0)1(84.012242≠<<⎪⎩⎪⎨⎧>-+≠-a a a a a a 且解得所以双曲线的离心率).,2()2,26(226,120.11122+∞≠>∴≠<<+=+= 的取值范围为即离心率且且e e e a a a aa e（II ）设)1,0(),,(),,(2211P y x B y x A.125).1,(125)1,(,125212211x x y x y x =-=-∴=由此得 由于x 1+x 2都是方程①的根，且1－a 2≠0，1317,06028912,,.12125.1212172222222222=>=----=--=a a a a x a a x a a x 所以由得消去所以 22．本小题主要考查数列，等比数列的概念和基本知识，考查运算能力以及分析、归纳和推理能力.满分14分. 解：（I ）a 2=a 1+(－1)1=0, a 3=a 2+31=3. a 4=a 3+(－1)2=4, a 5=a 4+32=13, 所以，a 3=3,a 5=13. (II) a 2k+1=a 2k +3k= a 2k －1+(－1)k +3k , 所以a 2k+1－a 2k －1=3k +(－1)k ,同理a 2k －1－a 2k －3=3k －1+(－1)k －1, ……a 3－a 1=3+(－1).所以(a 2k+1－a 2k －1)+(a 2k －1－a 2k －3)+…+(a 3－a 1)=(3k +3k －1+…+3)+[(－1)k +(－1)k －1+…+(－1)], 由此得a 2k+1－a 1=23(3k －1)+21[(－1)k －1],于是a 2k+1=.1)1(21231--++k k a 2k = a 2k －1+(－1)k=2123+k (－1)k －1－1+(－1)k =2123+k (－1)k －1. {a n }的通项公式为： 当n 为奇数时，a n =;121)1(232121-⨯-+-+n n 当n 为偶数时，.121)1(2322-⨯-+=nn n a。
2004年高考语文试题及答案详解(湖南卷)
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Ｂ.艺苑入场券如雷灌耳万事具备，只欠东风
Ｃ.跻身杀手锏响遏行云月满则亏，水满则溢
Ｄ.精湛孵化器洞若观火瓜熟缔落，水到渠成
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Ｄ.科学对人类事物的影响有两种方式。第一种是大家熟悉的：科学直接地、并且在更大程度上间接地生产出完全改变人类生活的工具。第二种是教育性质的——它作用于心灵。
二、（12分，每小题3分）
阅读下面的文字，完成7－10题。
中国传统医学界由汉、藏、蒙等多个民族的传统医药学共同组成，它既有东方传统医药学的神秘之处，又往往有现代医药学所不及的奇特功效，它含有神话、传说的成分；它的许多原理至今也无法用现代医学理论进行科学的解释，但这种“神秘”的医药学，却常常有着神奇的功效，比如藏医，很长一个时期，它的传授是在寺庙中以隐秘的方式进行的，它用青藏高原所独有的植物、动物、矿物和食物对患者进行治疗，对包括癌症、中风在内的多种令现代医学棘手的疾病有着较好的疗效。
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Ｂ.典范／典型整理／整改虽然／不过
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2004年高考重庆卷文科数学试题及答案
2004年普通高等学校招生重庆卷文史类数学试题本试卷分第Ⅰ部分（选择题）和第Ⅱ部分（非选择题）共150分 考试时间120分钟.第Ⅰ部分（选择题 共60分）参考公式：如果事件A 、B 互斥，那幺 P(A+B)=P(A)+P(B) 如果事件A 、B 相互独立，那幺 P(A·B)=P(A)·P(B)如果事件A 在一次试验中发生的概率是P ，那幺n 次独立重复试验中恰好发生k 次的概率k n k knn P P C k P --=)1()(一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.函数y =的定义域是：（ ）A [1,)+∞B 23(,)+∞C 23[,1]D 23(,1]2. 函数221()1x f x x -=+, 则(2)1()2f f = ( )A 1B -1C 35D 35-3.圆222430x y x y +-++=的圆心到直线1x y -=的距离为：（）A 2 B24．不等式221x x +>+的解集是：（ ）A (1,0)(1,)-+∞B (,1)(0,1)-∞-C (1,0)(0,1)-D (,1)(1,)-∞-+∞5．sin163sin 223sin 253sin313+= ( )A 12-B 12C - 6．若向量a 与b 的夹角为60，||4,(2).(3)72b a b a b =+-=-,则向量a 的模为：（ ）A 2B 4C 6D 127．已知p 是r 的充分不必要条件，s 是r 的必要条件，q 是s 的必要条件。
那么p 是q 成立的：（ ）A 充分不必要条件B 必要不充分条件C 充要条件D 既不充分也不必要条件8．不同直线,m n 和不同平面,αβ，给出下列命题：①////m m αββα⎫⇒⎬⊂⎭ ② //////m n n m ββ⎫⇒⎬⎭③,m m n n αβ⊂⎫⇒⎬⊂⎭异面 ④ //m m αββα⊥⎫⇒⊥⎬⎭其中假命题有：（ ）A 0个B 1个C 2个D 3个9． 若数列{}n a 是等差数列，首项120032004200320040,0,.0a a a a a >+><，则使前n 项和0n S >成立的最大自然数n 是：（ ）A 4005B 4006C 4007D 400810．已知双曲线22221,(0,0)x y a b a b-=>>的左，右焦点分别为12,F F ,点P 在双曲线的右支上，且12||4||PF PF =,则此双曲线的离心率e 的最大值为：( )A43 B 53 C 2 D 7311．已知盒中装有3只螺口与7只卡口灯炮，这些灯炮的外形与功率都相同且灯口向下放着，现需要一只卡口灯炮使用，电工师傅每次从中任取一只并不放回，则他直到第3次才取得卡口灯炮的概率为：（ ）A2140 B 1740 C 310 D 712012． 如图，棱长为5的正方体无论从哪一个面看，都有两个直通的边长为1的正方形孔，则这个有孔正方体的表面积（含孔内各面）是：（ ） A 258 B 234 C 222 D 210第Ⅱ部分（非选择题 共90分）二、填空题：本大题共4小题，每小题4分，共16分.把答案填在题中横线上.13. 若在5(1)ax +的展开式中3x 的系数为80-，则_______a =14．已知532,(0,0)x y x y+=>>,则xy 的最小值是____________15．已知曲线31433y x =+，则过点(2,4)P 的切线方程是______________16．毛泽东在《送瘟神》中写到：“坐地日行八万里”。
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北京地区成人本科学士学位英语统一考试（B）2004.11注意事项一、将答题卡(纸)上的姓名及学生代号用中文和阿拉伯数字填好。
二、仔细阅读题目的说明。
三、在120分钟内答完全部试题。
四、答案一定写在答题卡上，凡是写在试题册上的答案一律作废。
五、用铅笔这样划答案：[A] [B] [C][D]，用其他符号答题者不记分。
六、如要改动答案，必须先用橡皮擦去原来选定的答案，然后再按上面的规定重新答题。
Part I Reading Comprehension (30%)Directions: There are four passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are four 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 1 Questions I to 5 are based on the following passage:(76) The agriculture revolution in the nineteenth century involved two things: the invention of labor-saving machinery and the development of scientific agriculture. Labor-saving machinery naturally appeared first where labor was scarce. “In Europe”, said Thomas Jefferson, “the object is to make the most of their land, labor being sufficient; here it is to make the most of our labor, land being abundant”. It was in America, therefore, that the great advances in nineteenth-century agricultural machinery first came. At the opening of the century, with the exception of a crude (粗糙的) plow, farmers could have carried practically all of the existingagricultural tools on their backs.(77) By 1860，most of the machinery in use today had been designed in an early form, the most important of the early inventions was the iron plow. As early as 1850 Charles Newbolt of New Jersey had been working on the idea of a cast-iron plow and spent his entire fortune in introducing his invention. The farmers, however, would home none of it, claiming that the iron poisoned the soil and made the weeds grow. Nevertheless, many people devoted their attention to the plow, until in 1869, James Oliver of South Bend, Indiana, turned out the first chilled-steel plow.1. The word “here”(Para. 1, Line 6) refers to(B. America ).2. Which of the following statement is NOT true? (C. Both Europe and America had great need for farm machinery. )3. The passage is mainly about(B. the invention of labor-saving machinery ).4. At the opening of the nineteenth-century, farmers in America(D. had very few tools ).5. It is implied but not stated in the passage that (A. there was a shortage of workers on American farms ). Passage 2Questions 6 to 10 are based on the following passage:By adopting a few simple techniques, parents who read to their children can greatly increase their children’s language development. It is surprising but true. (78) How parents talk to their children makes a bigdifference in the children’s language development. If a parent encourages the child to actively respond to what the parent is reading, the child’s language skills increase.A study was done with 30 three-year-old children and their parents. Half of the children participated in the experimental study; the other half acted as the control group. In the experimental group, the parents were given a two-hour training session in which they were taught to ask open-ended questions rather than yes-or-no questions. For example, the parent should ask, “What is the doggie doing?” rather than “Is the doggie running away?” (79) The parents in the experimental group were also instructed in how to help children find answers, how to suggestalternative possibilities and how to praise correct answers.At the beginning of the study, the children did not differ in measures of language development, but at the end of one month, the children in the experimental group showed 5.5 months ahead of the control group on a test of verbal expression and vocabulary. Nine months later, the children in the experimental group still showed an advance of 6 months over the children in the control group.6. Which of the following can be inferred from the passage? (D. Verbal ability can easily be developed with proper methods. )7. What does "it" in line 2 can most probably be replaced by?( A. Parents increasing children's languagedevelopment)8. According to the author, which of the following questions is the best type to ask children about?( C. What animals do you like?)9. The difference between the control group and the experimental group was (A. the training that parents received ).10. The best conclusion we can draw from the passage is that (C. children's language skills increase when they are required to respond actively ). Passage 3Questions 11 to 15 are based on the following passage:In the United States, 30 percent of the adult population has a “weight problem”. To many people, the cause is obvious: they eat too much. But scientific evidence does little to support this idea. Going back to theAmerica of the 1910s, we find that people were thinner than today, yet they ate more food. In those days people worked harder physically, walked more, used machines much less and didn’t watch television.Several modern studies, moreover, have shown that fatter people do not eat more on the average than thinner people. In fact, some investigations, such as the 1979 study of 3,545 London office workers, report that, on balance, fat people eat less than slimmer people.Studies show that slim people are more active than fat people. A study by a research group at Stanford University School of Medicine found the following interesting facts:The more the men ran, the more body fat they lost.The more they ran, the greateramount of food they ate.(80) Thus, those who ran the most ate the most, yet lost the greatest amount of body fat.11. The physical problem that many adult Americans have is that(C. they are too fat ).12. According to the article, given 500 adult Americans, (D. 150) people will have a “weight problem”.13. Is there any scientific evidence to support that eating too much is the cause of a “weight problem”?( C. There is hardly any scientific evidence to support this.)14. In comparison with the adult American population today, the Americans of the 1910s (A. ate more food and had more physical activities ).15. Modem scientific researches havereported to us that(A. fat people eat less food and are less active ).Part II Vocabulary and Structure （30%）Directions: In this part there are 30 incomplete sentences.For each sentence there are four ices marked A, B, C and D. Choose the ONE answer that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.16. (B, It being pretty late ), we decided to leave at once, as we didn't want to risk missing the bus.17. (A. What ) was once regarded as impossible has now become a reality.18. Mr. Smith, together with his wife and children, (B. is ) going to the party this weekend.19. Would you mind (B. his playing )the computer game in your room? 20. By next year he (D. will have worked ) in New York for five years.21. Henry is often seen (C. reading ) English aloud every morning in the classroom.22. Without heat and sunlight, plants on the earth (A. would not grow ) well.23. Only recently (C. has something been done )to deal with the environmental problems.24. The question (C. to be discussed ) at the meeting tomorrow is very important.25. Since this road is wet and slippery this morning, it (C. must have rained ) last night.26. The mother didn't know (A. who ) to blame for the broken glass as it happened while she was out.27. I believe that every crime, (A. inspite of ) the circumstance, should be severely punished.28. The workers are busy (D. making ) models for the exhibition.29. Yesterday Mr. Smith gave a vivid(D. account )of his recent visit to China.30. The definition leaves (B. much room ) for disagreement.31. By the time you arrive this evening, (D. I will have been studying ) for two hours.32. I would have joined him in a picnic, but I (B. don't like )his company.33. Let's finish our homework in a few seconds; it's time we (A. played football ).34. (C. Busy as he was ) at Harvard, he began again to write his essay. 35. Pierre often makes himself (D. understood )by gesturing with hishands.36. The bridge was named (A. after ) the hero who gave his life for the cause of the people.37. There was a large crowd in the square (B. protesting )against the war.38. We have (C. applied )to the government for a home improvement loan.39. Tom __________ the shopkeeper with overcharging him for the articles he had bought.40. The idea sounds very good but will it work in (A. practice )?41. He got a job so that he could be independent (C. of ) his parents. 42. We had to wait a long time to get our passports, (C. didn't we )?43. Do you feel like (B. having something to eat ) today?44. It's vital that enough money (B.be )collected to get the project started.45. We consider (B. it necessary that )the instrument be adjusted each time it is used.Part III Identification (10%)Directions: Each of the following sentences has four underlined parts marked A, B, C and D.Identify the one that is not correct.Then mark the corresponding letter on the Answer Sheet with a single line through the center.46. It is in his spare time (when 改成that)Robert teaches himself English and Japanese.47. People complain that the cost of setting up a company (are改成is)so great that only the rich can afford to run a company in that country.48. Between (you and I改成you and me), we have had an eye on him for some time, and he might be a runaway.49. At school Li Ming ran into many problems, such as choosing classes and (to handle改成handling)his time.50.( Comparing改成Compared)with the weather of last winter, it is much milder and more pleasant this winter.51. Advertising gives useful information about which products to buying改成to buy.52. In Hawaii, people are friendly and always warmly (welcomed改成welcome) visitors.53. Maradona will face apossible prison term if (finding改成found)guilty on the shooting charges.54.Having returned from Berlin, he received no telephone call, (neither 改成either).55. “I am looking forward to (receive改成receiving)your letter!”she said happily.Part IV Cloze (10%)Directions There are 20 blanks in the following passage, and for each blank there are 4 choices marked A, B, C and D at the end of the passage. You should choose the ONE answer that best fits into the passage. Then mark the corresponding letter on the Answer Sheet with a single line through the center.Can authority be criticized? In56(A. much) of the word, authority is not 57(D. challenged)either out of respect or out of 58(C. fear). In such countries children are not expected to 59(A. question)their teachers in school and 60(B. brilliant)young scholars or61(C. original) industrial mean are hampered (受阻) in technical research because they don't feel free to 62(A. disagree)with their superiors. Clever researchers may be considered too 63(A. young) to have “any fight” to present 64(D. findings) that are different from knowledge and wisdom of men of old ages.65(D. However), the American is 66(B. trained) from childhood to question, analyze and search. School tasks are 67(B. designed)toencourage the use of a 68(A. wide) range of materials. A composition topic like”Write a paper69(B. on) the world's supply of sugar”will send even 70(D. an adult)in search of completely unfamiliar ideas. 71(D. Even) in the primary grades, children are taught to 72(D. use)libraries, and to search for73(C. new)ideas of various sorts. 74(D. By)the time they are 14, 15 and 16, many young scholars are marking original and 75(B. valuable)contributions in all fields of science.Part V Translation (20%) Section ADirections: In this part there are five sentences which you should translate into Chinese. These sentences are all taken from the 3 passages you have just read in the part of Reading Comprehension. Youcan refer back to the passages so as to identify their meanings in the context.76. The agriculture revolution in the nineteenth century involved two things: the invention of laborsaving machinery and the development of scientific agriculture. (Passage 1) 19世纪的农业革命包括两件事情：节省劳动力的机器的发明和科学农业的发展。