problem 21 family v 2009

2009年专四听力答案PART I DICTATIONNew Year's EveFor many people in the west, New Year's Eve is the biggest party of the year. /lt's the time to get together with friends or family/and welcome in the coming year. / New Year's parties can take place in different places. /Some people hold a house party; others attend street parties;/ while some just go for a few drinks with their friends. /Big cities have large and spectacular fireworks displays. / There is one thing that all New Year's Eve parties have in common,/ the countdown to midnight./ When the clock strikes 12, people give a loud cheer and sing songs./ It's also popular to make a promise in the New Year. /This is called a New Year's resolution. / Typical resolutions include giving up smoking and keeping fit. /However, the promise is often broken quite quickly /and people are back into their bad habits within weeks or days. PART ⅡLISTENING COMPREHENSIONSECTION A CONVERSATIONSQuestions I to 3 are based on the following conversation.W: Hi, Mark. How are you?M: (2) Actually, I'm really fed up, Linda. It's Jean.W: (2) Jean? Who is Jean?M: Oh, nobody really. (1) Just a most stunningly attractive girl in my year school. W: Oh, is that all? (1) So what's the problem?M: (1) Well, the thing is I just don't know how to make her notice me, or...W: Wait a minute. I've got a brilliant idea I (3) Why don't you try talking to her?M: (3)But I wouldn't know what to say. 1...W: Look, she's in your chemistry class, isn't she? You're good at chemistry. (3) You could offer to help her with her chemistry homework. How about that?M: Not bad. Just one problem.W: What?M: (3) She's better than me at chemistry.W: OK, then? (3) Well, there is that party at John's on Friday night. You could invite her.M: ( 2/3 ) Just another small problem. John's her boyfriend.Key:1.B 2.C 3.AQuestions 4 to 7 are based on the following conversation.W: Yes, can I help you?M: Yes, you see I bought this personal stereo at your shop three days ago. And I'm afraid that it hasn't really matched up to what I was told about it.W: I see. What exactly is the matter?M: (4/6) Well, first of all, there's this large scratch across the front of it.W: But you should have noticed that when you bought it.M: But it was in the box and all sealed up.W: (4) Well, I am sorry, but it really is your responsibility to check the goods when you buy them. How were were to know that it wasn't you who made the scratch?M: That's ridiculous. (6) But, anyway, it's not the most important thing. I really am not happy about this other thing.W:And what is that?M: Look, it says here that the noise from it should be undetectable by other people, W: Yes, that's right.M: But people can hear it and it's really embarrassing on the bus and the underground. W: Well, I am sorry. (5)But it must be the way you are wearing the headphones.M: (5) Look, I know how to put earphones in my ears. Thank you very much. But what I want to know is what you are going to do about it all.W: (7) Well, I suppose we could exchange it for another model if you really aren't happy with it.M: No, I certainly am not.W: (7) Well, if I just could have the receipt.M: Yes, well there is a slight problem about this receipt.Key: 4.C 5.A 6D 7.B.Questions 8 to 10 are based on the following conversation.W: Hello, Happy Time Catering Services Victoria speaking. How can I help you?M: Hello, Victoria. This is Joe Smith from Country Holidays. (8/9) I wonder if you could do some catering for us next week. (10) We're having a small reception. It's to launch our summer holiday advertising campaign. Would you be free?W: When exactly is it, Mr. Smith?M: April 21st, that's Thursday. Oh, sorry, no. (9)lt should be Friday.W: Oh, Yes, I can do that. ( 10) Where will you be holding at?M: We thought we would have had it at head office and use the conference room because there is enough room for everyone there.W: OK, what aort of things would you like?M: Just a light lunch I think. So that People can eat while they move around and talk to each other. ( 10)You did something similar for us last year. We will be happy to have the same menu again.W: Right, I will look at my dairy and see what you had last time. Oh, I nearly forgot to ask you, (10) how many should I cater for?M: Well, I think most people will be able to come, perhaps around 30. No, let's say 35, to be sure.W: Right, thank you for getting in touch Mr. Smith. I will send confirmation of the arrangements by the end of this week.M: OK.Key: 8.C 9.A 10.DSECTION B PASSAGESQuestions 11 to 13 are based on the following passage.For shopaholics, the post-Christmas period means only one thing—sales! (12) Across the country, prices are slashed on clothing, electronics, home furnishings and more, (11) but London is the place for serious shopping and you can certainly pick up some amazing bargains. (12) The sales start on Boxing Day—26th, December and continue for the month of January, but the keenest bargain hunters get there early to be first through the doors, (12) In Oxford Street queues formed outside shops ahead of pre-dawn openings for the start of their sales. At Brent Cross, in north London, more than 1 ,000 people were queuing at 3:30a. m. for the ' Next' clothing store's sale which began at 4 a. m. Some people even camped outside the shops to be the first in the line.(13) Some people are taking their friends shopping with them and buying their Christmas presents in the sales. A practical but unromantic way of making sure you get the gift you really want. For a less exciting but less stressful shopping experience, online retailers are also getting in on the act with January sales of their own. (13) The most organized of all are those who are already doing their present shopping for next Christmas in the Jyuary" sales.Key:11.C 12.A 13.DQuestions 14 to 17 are based on the following passage.(14)Ballroom dancing used to be seen as something rather unfashionable that old people might do. (15) For the past five years though, the popularity of ballroom dancing has soared thanks to a reality TV show. Strictly Come Dancing is one of the big TV shows. ( 16) Millions of people tune in every Saturday night to watch the show which airs from September right up to Christmas. (16) In the show a number of professional ballroom dancers each dance with a celebrity. Every week they have to learn a different ballroom dance and perform it live on TV on Saturday night. The show demonstrates how glamorous ballroom dancing is. The celebrities get to wear colorful dresses and suits to dance in, and it looks like a lot of fun. The TV programme also shows what good exercise it can be to ballroom dance and what hard work is involved in learning the dances and performing them properly. Dance schools around the country have seen a boost in the number of people wanting to learn how to dance.(17) And it's not only old people who are interested. Lots of children and young people in their 20s are keen to learn.Key: 14.B 15.D 16.A 17.CQuestions 18 to 20 are based on the following passage.(18) Recently, a couple in New Zealand were forbidden from naming their baby son 4Real. Even though New Zealand has quite liberal rules about naming children, names beginning with a number are not allowed. They decided to call him Superman instead. In many countries around the world, unusual names for children are becoming more popular, especially since the increasing trend for celebrities to give their children unusual names. (19) Some parents choose names which come from popular culture.For example, there have been six boys named Gandalf after the character in the Lord of the Rings novels and films. Equally names related to sport are fairly common —since 1984, 36 children have been called Arsenal after the football team. Other parents like to make up names, or combine names to make their own unique version, a method demonstrated by Jordan, the British model, who recently invented the name Tidarnii for her daughter by combining the names Thea and Amy (the two grandmothers) - She was quoted as saying that the accent and double letters were added tomake the name 'more exotic'. (20) Other countries have much stricter rules when it comes to naming children. Countries including Japan, Denmark, Spain, Germany and Argentina have an approved list of names from which parents must choose.Key: 18.C 19.D 20.ASECTION C NEWS BROADCASTNews Item IEleven fishing boat crew who had been stranded since October in a remote part of Russia's Far East have been rescued after sheltering nearly three months at an abandoned military base. (21 )The eight men and three women took refuge at the base after their small boat collided on October 10th. Their attempts to fix one of the boats did not succeed, (22) and they had to remain at the abandoned base where there were only flour and -cooking fat. Other supplies at the base, which was abandoned in 2003 including Christmas ornaments, and the crew members put them up on a small tree inside their quarters, but supplies began running low and early this week, five set off on foot across snow fields. On Friday, after fours days of trudging, they reached a working military radio station, (23) the center called rescuers and helicopters were sent to take the eleven to the regional capital.Key:21.B 22.C 23.ANews Item 2(24) Spain's King Juan Carlos with 32 years on the throne turns 70 Saturday, but after years of undeniable adulation among Spaniards for putting down an attempted coup in 1981 , (25) he's recently faced more difficult times. Small groups of leftists have burned his photo, and fiery criticism has also come from the right with one leading conservative radio host calling for him to step down. Juan Carlos fired back with a rare public defense of his reign in a recent speech. "It's been the longest period of stability and prosperity in Spain ever in a parliamentary monarchy " , the King said.Key:24.B25.DNews Item 3It goes against religious taboos in Iraq to involve women in fighting, but three recent suicide bombings carried out by women could indicate insurgents are growing increasingly desperate. (26) In November 4th, a woman detonated an explosive vest next to a U.S. patrol in Diyala's regional capital, Baqouba, 35 miles northeast ofBagdad (27) wounding seven U. S. troops and five Iraqis. (26) On December 7th, a woman attacked the offices of a Diyala-based Sunni group, fighting al-Qaida in Iraq, (27) killing 15 people and wounding 35 , (26) then on December 31st, a bomber in Baqouba, detonated her suicide vest close to a police patrol (27) wounding five policemen and four civilians.Key:26.A 27.BNews Item 4(28) Chinese government is poised to conduct its first national survey of pollution sources in February to help control environmental deterioration in the country. The study will identify and collect data on the sources of industrial, agricultural and residential pollution for two months. Last year, China's environment was facing a grave situation with several major rivers and lakes clogged by industrial waste. (29) China's environmental cleanup is compromised by more than two decades of rapid economic growth and a lack of technology especially. (30) Every province, autonomous region and municipality has set up a census office and will report to a main center staffed by officials from sovemment departments. Data will be reviewed multiple times before being put into a database and will be analyzed in the second half of 2008. Findings will be examined and approved by mid-2009.Key：28.C 29.A 30.B。

江苏省2009年普通高校专转本统一考试英语试卷（非英语专业）第I卷 (共100分)Part I Reading Comprehension (共20小题，每小题2分，共40分) Passage OneYoung Koreans are beginning to do it alone when it comes to finding a partner, though matchmaking is still the most common way for boys to meet girls.Professional matchmakers can make thousands of American dollars by introducing suitable marriage partners to each other, but partners also play a role in the process during which young Koreans meet.In Confucius Korea, where marriage is regarded as more of a business contract than a sacred thing, the scene of the first meeting is repeated hundreds of times a day in coffee shops in the main hotels around Seoul. The business of continuing the family lineage （血统）and keeping the blooding pure is often too important to be left to romance and chance encounters.Often, the girl will work out a system of secret signals with her mother, from which her parents can tell if she is interested.For example, if the girl orders a coffee it might mean that she wants her parents to leave her alone with the boy, while a milk shows that she wants them to stay.Sometimes the matchmaking is not always so formal, with theintroduction being made by friends.But whether through friends or families, there is hardly a Korean man in the country who has not gone through this process --- sometimes six or seven times.B1. The word “matchmaking” in the passage means __C____.A. a very formal ritual（仪式）attended by boys and girlsB. introducing boys and girls to know each other for the purpose of marriageC. producing matches to make a fire or light a cigaretteD. arranging games between men and womenD2. The fact that the first meeting is repeated again and again in coffee shops in the main hotels suggests that ___C___.A. Koreans like drinking coffee in coffee shops very muchB. men and women want to meet as many times as possibleC. they are busy with communicating with different peopleD. marriage is seen as a business contract instead of something sacred B3. Why does the matching still exist in Korea?AA. Because most people want to keep the bloodlines pure and chance encounters romantic.B. Because most people try to avoid romance and keep the bloodlines pure.C. Because most people regard marriage as continuing family lineage and romance.D. Because most people try to break family lineage and bloodlines.A4. Which of the following is true according to the passage?CA. Almost every man or woman in Korea has to go through the matchmaking.B. From the signal the boy’s parents know whether their son is interested in the girl or not.C. At present young Koreans no longer need matchmaking to help them find partners.D. Only a girl and a boy will appear in the first arranged meeting. A5. The passage is mainly about A______.A. the practice of matchmaking in KoreaB. the importance of a business contractC. the work of professional matchmakersD. the first meeting between men and womenPassage twoIn the university Jim was a fast-tracker. He made good grades with little effort, and his classmates thought of him “most likely to succeed”. After graduation, he joined a large company and at first did well. However, he switched to several smaller companies where the same pattern developed time and again: well-liked, regarded as a fast-tracker. People wonder why he isn’t doing better.Then there was Tom who was always regarded as “average”. However, he set his goals high, then found a way to achieve his goal. Today he owns a million-dollar company.Researchers have found that school performance is little related tojob performance. Qualities like “steady and dependable”and “practical and organized” are more important.“You don’t need talent to succeed”, insist some experts. “All you need is a big pot of glue (胶水). You put some on your chair, you sit down, and you stick to every project until you’ve done the best you can do.” Average achievers stay glued to their chairs and postpone pleasure so they can receive future benefits. Many fast-trackers, on the other hand, expect too much too soon. When rewards don’t materialize instantly, they may become disappointed and unhappy.D6. A fast-tracker in this passage refers to a person who __C____A. feels happy with everythingB. makes others disappointed and unhappyC. is an excellent studentD. learns new things quicklyC7. According to the passage, which of the following is true about a fast-tracker?CA. He is very talented in his work.B. He is not likely to get rich.C. He may not stick to his work.D. He is dependable and practical. B8. The word “materialize” in the last paragraph means “_C_____”.A. matterB. appearC. matchD. attractD9. It is implied in the passage that ___D___.A. one has no pleasure until he succeedsB. glue can help one focus on one’s work.C. success has nothing to do with special talentD. success is closely related to patience and steadinessD10. A proper title for the passage can be _C_____.A. The magic of GlueB. The Way to SuccessC. Why Talented People Often Succeed QuicklyD. How average Achievers Do Better than OthersPassage ThreeFrom good reading we can derive pleasure, companionship, experience, and instruction. A good book may absorb our attention so completely that for the time being we forget our surroundings and even our identity. Reading good books is one of the greatest pleasures in life. It increases our contentment when we are cheerful, and lessens our troubles when we are sad. Whatever may be our main purpose in reading, our contact with good books should never fail to give us enjoyment and satisfaction.With a good book in hand we need never be lonely. Whether the characters portrayed are taken from real life or are purely imaginary, they may become our companions and friends. In the pages of books we can walk with the wise and the good of all lands and all times. The people we meet in books may delight us either because they resemble human friends whom we hold dear or because they represent unfamiliar types whom we are glad to welcome as new acquaintances. Our human friends sometimes may bore us, but friends we make in books need never weary us with their company. By turning the pages we can dismiss them without any fear ofhurting their feelings. When human friends desert us, good books are always ready to give us friendship, sympathy and encouragement.One of the most valuable gifts bestowed by books is experience. Few of us travel far from home or have a wide range of experiences, but all of us can lead varied lives through the pages of books. Whether we wish to escape from the seemingly dull realities of everyday life or whether we long to visit some far-off place, a book will help us when nothing else can. To travel by book we need no bank account to pay for our way, no airship or ocean liner or streamlined train to transport us, no passport to enter the land of our heart’s desire. Through books we may get the thrill of hazardous adventure without danger. We can climb lofty mountains or cross the scorching sands of the desert, all without hardship. Indeed, through books the whole world is ours for the asking. The possibilities of our literary experiences are almost unlimited. The beauties of nature, the enjoyment of music, the treasures of art, the triumphs of architecture, the marvels of engineering, are all open to the wonder and enjoyment of those who read.D11. The main idea in the first paragraph is _B_____.A. pleasure can only be derived from reading good booksB. a good book may distract our attentionC. people can read good books in different waysD. enjoyment and satisfaction can be derived from reading good booksB12. The main reason that people like their acquaintances in books is__C____.A. they are like human friends exactlyB. they never bore us in comparison with our human friendsC. they never hurt our feelingsD. they give human beings friendship, sympathy and encouragementB13. We forget our surroundings and even our identity because _B_____.A. the reading environment is very goodB. the book is extremely interesting and attractiveC. we are alone and no one interrupts usD. we are asked to return the book the second dayC14. Which of the following is NOT true?CA. All of us can lead varied lives through the pages of books.B. We can travel by book free of charge to our heart’s content.C. We should rely on reading to escape from the seemingly dull realities of everyday life.D. Valuable experiences can be obtained from reading good books.A15. “The whole world is ours for the asking” implies that __C____A. the world is more accessible in books than in realityB. the world is easy to travel around as long as we walkC. the world belongs to us whenever we askD. round-world trips can be made by everyonePassage FourIncreasingly over the past ten years, people --- especially youngpeople --- have become aware of the need to change their eating habits, because much of the food they eat, particularly processed foods, is not good for health. Consequently, there has been a growing interest in natural foods: foods which do not contain chemical additives and which have not been affected by chemical fertilizers widely used in farming today.Natural foods, for example, include vegetables, fruit and grain which have been grown in soil that is rich in organic matter. In simple terms, this means that the soil has been nourished by unused vegetable matter, which provides it with essential vitamins and minerals. This in itself is a natural process compared with the use of chemicals and fertilizers, the main purpose of which is to increase the amount --- but not the quality --- of foods grown in commercial farming areas.Natural foods also include animals which have been allowed to feed and move freely in healthy pastures. Compare this with what happens in the mass production of poultry: there are battery farms, for example, where thousands of chickens live crowded together in one building and are fed on food which is little better than rubbish. Chickens kept in this way are not only tasteless as food; they also produce eggs which lack important vitamins.It is significant that nowadays fiber is considered to be an important part of a healthy diet. In white bread, for example, the fiber has been removed. But it is present in unrefined flour and of course in vegetables.It is interesting to note that in countries where the national diet contains large quantities of unrefined flour and vegetables, certain diseases are comparatively rare. Hence the emphasis placed on the eating of whole meal bread and more vegetables by modern experts on “healthy eating”.16. People have become more interested in natural foods because ______.A. they like changing their diet from time to timeB. they want to eat food that is more deliciousC. much of the food they eat is no longer considered to be healthyD. they want to be fashionable17. Soil that is rich in organic matter ______.A. has nothing nutritious added to itB. is essential for producing fruit and vegetablesC. contains unused vegetable matterD. has had chemicals and fertilizers added to it18. According to the author, the use of chemicals and fertilizers ______.A. will not necessarily increase the production of foodsB. is a good way to improve the quality of foodsC. promotes the foods both in quality and in quantityD. is no good for health19. Chickens can be called “natural foods” only when ______.A. they are deliciousB. they are fed on food little better than rubbishC. they lay eggs rich in vitamins every dayD. they are allowed to move about and eat freely20. Which of the following is considered good for healthy eating?A. Unrefined flour and vegetables.B. White bread and honey.C. Canned beans and fruits.D. Mass-produced chickens and eggs Part II Vocabulary and Structure (共40小题，每小题1分，共40分)21. Keep two extra pencils ______ while taking the examination.A. at easeB. at lengthC. at handD. in turn22. The competition from experienced staff members, some of whom arehigher in rank, ______ to my disadvantage.A. worksB. workingC. workD. worked23. I don’t know what ____ Alfred to read your letter. ____ he thought it was addressed to him.A. made…SupposedlyB. induced…PresumablyC. stimulated…PossiblyD. introduced…Probably24. Never before ______ available for quick and easy access in so many different fields of study.A. so much free information wereB. were so much free informationC. has so much information beenD. so much free information has been25. It’s true that not having a car imposes some ______, but owning onealso complicates life in many ways.A. constructionsB. introductionsC. instructionsD. restrictions26. Word got around ______ he had resigned his position as executive secretary of the committee.A. whatB. thatC. whateverD. which27. If you invest so heavily in the stock market, you’re ______ risks.A. turning inB. heading offC. turning onD. heading for28. A further ______ into the cause of the disaster revealed that thedirector was partly to blame because he had not insisted on adequate precautions.A. entryB. requestC. inquiryD. conquest29. It is only in the most difficult circumstances ______ a man’s abilities are fully tested.A. whenB. thatC. whereD. so that30. Adults tend to interpret the action of children ______ their own experience.A. in terms ofB. in the habit ofC. in words ofD. in the account of31. In fact, the Iraq war was fairly ______ across the West.A. conversationalB. contradictoryC. contraryD. controversial32. “You missed a golden opportunity.”“Yes, I ______ that job when it was offered.”A. must have takenB. should have takenC. might takeD. ought to take33. The use of military force faces strong opposition among key US allieswhere opinion polls show ____ majorities of the populations supporta peaceful solution.A. substantialB. enormousC. considerableD. overwhelming34. There is every sign that most of the Asian Americans have been ______ the nation’s culture.A. assimilated intoB. involved intoC. associated withD. connected with35. Professor Wu told us that by the end of the year he ______ here for three years.A. will have workedB. will have been workingC. would have been workingD. has been working36. We cannot choose whether we will pay income tax or not, because paymentof income tax is ______.A. compulsiveB. impulsiveC. comprehensiveD. compulsory37. You’re the manager’s relative, but that doesn’t ______ you to a free meal in our restaurant.A. qualifyB. entitleC. adaptD. allow38. Believe it or not, Matt earns ______ his brother, who has a better position in a big company.A. much as twice asB. as twice much asC. twice as much asD. as much twice as39. Please keep the numbered cards in ______; don’t mix them up.A. seriesB. successionC. sequenceD. procedure40. The whole world is now clearly aware of the ______ to which globalwarming has affected the earth.A. extentB. rangeC. gradeD. limit41. What would happen if students were ______ of books?A. refusedB. declinedC. deniedD. deprived42. There are two major problems linked with atomic power plants, ____the first concerns nuclear waste.A. of whichB. of the twoC. of themD. of the plants43. It seems that there is no resolution to this racial ______.A. conventionB. compromiseC. conflictD. conservation44. There’s no doubt that your achievement ______ your hard work.A. contributed toB. is attributed toC. is led toD. resulted in45. Look at the terrible situation I am in now! If only I ______ your advice.A. followB. had followedC. would followD. have followed46. The policeman on duty became ______ of the youth and asked him why he was standing there.A. doubtfulB. suspiciousC. suspectedD. hesitated47. Americans are trained to think themselves as separate individuals,______ most Chinese consider themselves as members of a group.A. whereasB. asC. sinceD. like48. It’s no good ______. You just have to put up with all these.A. complainedB. complainingC. to be complainingD. to complain49. As we are unlikely to find another hotel before dark, the _____ actionis to stay here for the night.A. senselessB. sensitiveC. sensationalD. sensible50. He hopes that when he comes back in five years’ time all the old buildings ______ down.A. will have been pulledB. will be pullingC. will have pulledD. will be pulled51. It has never ______ to her that it was her son who committed sucha silly mistake.A. occurredB. happenedC. arisenD. seemed52. Quite a number of NBA players have the experience of ______ from one team to another.A. transformingB. transferringC. transplantingD. transmitting53. The atmosphere is as much a part of the earth as ______ its soilsand the water of its lakes, rivers and oceans.A. isB. hasC. areD. have54. Trying to ______ wild life is a job that concerns all of us.A. deserveB. detectC. protectD. reserve55. ______, the next problem was how to make a good plan.A. Having made the decisionB. The decision having been madeC. Has the decision been madeD. The decision has been made56. Steven hawking is now confined ______ the hospital by illness.A. inB. toC. withD. at57. The rapid development China has achieved in the last decade ______that the future is likely to be very exciting.A. make it clearB. it has made clearC. it makes clearD. has made it clear58. Football players are ______ males, though there are some females.A. mostB. mostlyC. muchD. all59. Tom has been most helpful to us; in fact I don’t know what we ______ without him.A. have doneB. will have doneC. had doneD. would have done60. I don’t have any ______ plan for the weekend ---- I was thinkingof spending some time with my family or perhaps getting together with some friends.A. confidentB. conservativeC. concreteD. consideratePart III Cloze (共20小题，每小题1分，共20分)There was a time when parents who wanted an educational present for their children would buy a typewriter, a globe or an encyclopedia set. Now those ___61___ seem hopelessly old-fashioned: this Christmas, there were a lot of ___62___ computers under the tree. ___63___ that computers are the key to success, parents insist that children ___64___ taught to use them in school as early as possible.The problem for schools is that when it ___65___ computers, parents do not always know best and are eagerly urging the schools to offer computer courses as soon as possible. Many schools are ___66 ___ parental impatience and are purchasing hardware hastily ___67___ good educational planning, saying “Ok, we’ve moved into the computer age.” Teachers ___68___ themselves caught in the middle of the problem between parental pressure and ___69___ educational decisions.Educators do not even agree ___70___ how computers should be used.A lot of money is going for computerized educational materials ___71___ can be taught ___72___ with pencil and paper. Even those who believe that all children should ___73___ to computer warn that there are potential ___74___ to the very young. The temptation of the computer is so strong that young children who quickly ___75___ themselves to it are never aware how much time they have ___76___ on it.There are some other problems. ___77___ every school can afford to go into computing, and there is a division ___78___ the haves and have-nots. Very few parents ask ___79___ computer instruction in poorschool districts, ___80___ there may be barely enough money to pay the reading teacher.61. A. items B. toys C. sets D. series62. A. private B. children C. school D. personal63. A. Giving B. Providing C. Convinced D. Believed64. A. was B. be C. are being D. were65. A. talks about B. comes to C. turns to D. mentions to66. A. ignoring B. blaming C. yielding to D. turning a deaf ear to67. A. without B. with C. through D. for68. A. rely on B. relax C. free D. find69. A. wise B. clever C. slow D. enough70. A. on B. with C. to D. about71. A. however B. where C. what D. which72. A. equally B. in the same way C. just as well D. not as well73. A. be open B. have access C. look D. turn74. A. approaches B. exposures C. problems D. means75. A. adopt B. keep C. adapt D. devote76. A. cost B. spent C. taken D. paid77. A. Nor B. Not C. No D. Any78. A. among B. amid C. amidst D. between79. A. for B. against C. to buy D. to use80. A. due to that B. in any case C. although D. where第II卷 (共50分)Section A (共5小题，每小题4分，共20分)Directions: Translate the following sentences into Chinese. You may refer to the corresponding passage in Part I.81. The business of continuing the family lineage （血统）and keepingthe blooding pure is often too important to be left to romance and chance encounters. (Passage One)____________________________________________________________________ ___________________________________________________________________________________________ _______________________82. Researchers have found that school performance is little related tojob performance. Qualities like “steady and dependable”and “practical and organized” are more important. (Passage Two)____________________________________________________________________ ___________________________________________________________________________________________ _______________________83. The people we meet in books may delight us either because they resemblehuman friends whom we hold dear or because they represent unfamiliar types whom we are glad to welcome as new acquaintances. (Passage Three) _______________________________________________________________________________________________________________________________________________________________ _______________________84. Increasingly over the past ten years, people --- especially youngpeople --- have become aware of the need to change their eating habits, because much of the food they eat, particularly processed foods, is not good for health. (Passage Four)____________________________________________________________________ ___________________________________________________________________________________________ _______________________85. It is interesting to note that in countries where the national dietcontains large quantities of unrefined flour and vegetables, certain diseases are comparatively rare. (Passage Four)____________________________________________________________________ ___________________________________________________________________________________________ _______________________Section B (共5小题，每小题3分，共15分)Directions: Translate the following sentences into English.86. 互联网的出现改变了人们的生活、工作及思维方式。

my biggest problem英语作文My biggest problem is that I can't learn things quickly. As a student, I must master all the knowledge points, but Iusually don't understand them until after I study themmultiple times. Even if I understand it temporarily, I'llsoon forget it.In order to solve this problem, I've tried various methods.I'll take notes of the knowledge points when I study. I'llalso take a few minutes to review what I learned in the morning when I get up and at night before I go to bed. I always look over my notes several times during a long holiday. In class, I'm not afraid of asking questions and I'm willingto discuss with my classmates when I have difficulty understanding something.However, these methods have been effective to some extent,but I still have difficulty in learning new materials. Iguess my problem is that I lack concentration, focus and enthusiasm. Whenever I feel tired, I'm easily distracted by other things and can't concentrate on my current task.In order to solve the problem of learning slowly, I've madean action plan for myself. I will take breaks at regular intervals, drink more water and do more exercise. I'm goingto find a quiet place to study and train my concentration. To keep myself motivated, I'm going to set short-term goals andshare my progress with my family and friends.I hope that by following my plan and studying hard, I can finally become a quick learner.。

新外研社（19）高中英语必修一Unit3 Family matters--Starting out&key words教案Teaching objectives:1.Lead the students to watch the video and look at the pictures so that students can initially understand the family life in different countries, and introduce the theme of this unit in this way.2.Enable the students to understand the family culture of different countries and activate their existing language and background knowledge, so as to stimulate students’ interest in the topic and understand the similarities and differences between Chinese and foreign cultures.3.Teach the students to describe and evaluate their own family life simply, and lead to the preliminary thinking of the theme of family life.4.Guide the students to stimulate the interest of English learning by understanding the content related to family life, obtain English learning resources through multiple channels, select appropriate strategies and methods and adjust their learning content and process.Evaluation objectives:1.Enable the students to have a preliminary understanding of family life in different countries by watching pictures and videos.2.The students can simply describe and evaluate their family life by connecting with their own reality, so as to improve their language output and expression ability.Teaching key and difficult points:1.Teach the students to understand the video content and understand the picture content.2.Make the students understand the concept and relationship of family through the video and pictures, so as to trigger the thinking of family related topics.Teaching methods:Audio Visual Teaching Method; Communicative Teaching MethodTeaching procedures:Step1: Lead-inShow some posters of movies to the students, and let the students answer the question.1.Have you ever seen some films or comics about family?The names of the films:The pursuit of the happinessLife is beautiful.Change Jiang Qi HaoNezha:Birth of the Demon Child2.Can you tell the class why these films are so popular?Suggested answers:Because these films have one common topic about family and love between the families, which may deeply touch the audience for the reason that there is always love in everyone’s family.Step2:Activity2 on Page25The teacher shows the students some pictures about some classical families and asks them to give their answers.1.What do you already know about these families?Suggested answer:I am familiar with the Parr family in the Incredible .It tells the story about a superman family. Father used to be a superman spy who is warm-hearted, powerful and responsible. Mother is a superwoman who is busy looking after their three children in their happy life. Their three children all have various superpowers.They worked together to fight with the evil business man and successfully saved the world.I am deeply moved by the love between the family members.2.Which family do you relate to most?Give your reasons.Suggested answers:I relate to the Parr family most. I have a happy family with my parents and a little brother. My father is a kind and strong man and my mother is a happyhousewife who takes good care of the whole family. Although we may have some small quarrels in our daily life, we know we love each other very much.Step3:Activity1 on Page 25The teacher shows the video to the students and asks them to have a discussion to answer the two questions below after watching the video.1.What is the video mainly about?Suggested answer: It is about the gathering of a family. The grandpa comes to visit his son’s family. They send gifts of pictures and family tree to each other, which shows their deep love between the family members.2.How do you feel about the family?Suggested answer:This is a happy family in which the family members cherish and love each other.Step4: Discussion（Group work）Think about the topic of family, have a discussion and write something about your family stories, and then present in groups.Step5:Key wordsⅠ.写出下列词汇的汉语释义。

2009新托福写作机经第一篇：2009新托福写作机经2009年新托福写作机经ps: 红色的部分是重复以往的，黄色部分是在中国考试的题目，剩余部分是在北美考试的题目。

1月10日（U.S）Improving schools is the most important factor in successful development of country.1月10日(重复2008.12.20&2007.12.1) People should pay to use public transport facilities.1月17日(U.S)The advertising is the main cause of unhealthy eating habits.1月18日It is important for families to regularly eat their meals together.1月23日Young people should try different job before they decide which job or career they will do in the long term.2月14日（U.S）Becoming well-informed must get information from different news sources.2月21日（U.S）Newspapers and magazines are the best way of learning about a foreign country.2月22日The purpose of television should be all educative, not entertain.2月27日（U.S）A job with more vacation time is better than a job with high salary but less vacation time.2月28日Teachers should be paid at least as much as doctors, lawyers or business leaders are paid.3月7日It's better to use own knowledge and experience to solve question, or ask other people for advice？3月14日（重复08.12.13&07.5.18）It is better to spend money on traveling and vacation than to save money for the future.3月21日（U.S）Do you think success is important, or it is more important to remain happy and optimistic when you fail？3月22日（似08.5.10 那题是重视艺术还是竞技体育）Governments should focus more on the preservation of environment rather than economic development.3月28日Do you agree or disagree: teacher should make their social or political views known to students? 3月29日（U.S）（重复07.8.4)In 20 years from now on, students will not use printed books anymore.4月3日The best way to improve the quality of education is to increase teachers' salary.5月9日In order to become a financially responsible adult, people should be taught how to manage money at a early age.5月15日（U.S）Professional athletes such as football players should earn much more money.5月16日(重复07.10.17)University students should learn one more course of the culture of a country rather than their own.5月30日（U.S）Younger school children(ages five to ten)should be required to study art and music in addition to math language, science and history.5月31日（重复07.11.24）People will spend less time on cooking food.6月5日（重复08.6.22）The most effective method of improving health care is to reduce environmental problems.6月7日（重复08.8.2 U.S）People will have more leisure time in twenty years.6月12日（U.S）Should university student do part-time job?6月13日（似08.8.9 U.S那题考science class）All university students should be required to take history courses no matter what field they study in.6月21日Technology make people's lives simpler in turn to make people's lives more complicated.6月27日For future career success, is relate well to other people more important than studying hard at school?7月12日（重复07.1.14）Drivers should pay a certain amount of fees so that they can be permitted to drive out in traffic busy time.7月25日Being creative，rather than planning carefully，will come up with best solution to a problem.8月2日（重复08.1.18）People will feel happier when they finish a challenging or difficult work than they finish an easy work.8月8日（重复07.10.28）Teachers should be paid according to how well their students perform.8月22日It is better to achieve high efficiency with more mistakes or lower efficiency with fewer mistakes.9月12日Children should only study or play and don't have to do household chores.9月19日（U.S）Government should more support art museum and music performance than recreational facilities, such as swimming pool or play ground.9月20日People in the past were more friendly than they are now.10月10日（重复08.8.2）People nowadays more easily achieve success than in the past.10月17日（U.S）Movies and televisions should always show audience goodpeople are being rewarded and bad people are being punished.10月24日（重复09.6.12）It is better for parents to encourage their children to take a part-time job.10月25日Visiting museums is the best way to learn about a country.10月31日（U.S）It is often not a good thing to move to a new city or a new country because ofthe lose of old friends.11月1日（重复07.8.17）Getting advice from friends who are older than you is more valuable than getting advice from friends your same age.11月7日（U.S）For successful development of a country, a government should focus its budget more onyoung children 's education rather than on universities.11月8日（重复08.6.21）Good looks and dresses are more important for success than good ideas.11月13日（U.S）It is better to invite more people to hold a big party rather than a small one with fewer close friends and family members.11月21日（U.S）Parents should give money to praise their child for high marks in school.11月22日People buy things not because they need them but because other people have them.12月4日（U.S）People should buy things made in their own country, even if the price of the products is higher than that of the same things made somewhere else.12月5日As for young people, the ability to plan and organize is essential.12月11日（U.S）Parents do not understand their children so well as parents did 50 years ago.12月12日（完全重复前一天北美的）Parents do not understand their children so well as parents did 50 years ago.12月19日（U.S）People would be happier if they had fewer possessions.12月20日The ability to read and write is more important now than in the past.第二篇：托福写作机经的使用方法官方网站：托福写作机经的使用方法在笔者眼中，题目中的问题本不该成为一个问题。

PURPLE COMET MATH MEET April 2009HIGH SCHOOL -PROBLEMScCopyright Titu Andreescu and Jonathan Kane Problem 1In five years,Tom will be twice as old as Cindy.Thirteen years ago,Tom was three times as old as Cindy.How many years ago was Tom four times as old as Cindy?Problem 2Find the least positive integer n such that for every prime number p ,p 2+n is never prime.Problem 3In the diagram ABCDEF G is a regular heptagon (a 7sided polygon).Shown is the star AEBF CGD .The degree measure of the obtuse angle formed by AE and CG is mn where m and n are relatively prime positive integers.Find m +n .F BC DEG AProblem 4There are three bags of marbles.Bag two has twice as many marbles as bag one.Bag three has three times as many marbles as bag one.Half the marbles in bag one,one third the marbles in bag two,and one fourth the marbles in bag three are green.If all three bags of marbles are dumped into a single pile,mn of the marblesin the pile would be green where m and n are relatively prime positive integers.Find m +n .Problem 5Find n so that 4n +7 3= 2n +23 4.Problem 6Wiles county contains eight townships as shown on the map.If there are four colors available,in how many ways can the the map be colored so that each township is colored with one color and no two townships that share a border are colored with the samecolor?Problem 7The figure ABCD is bounded by a semicircle CDA and a quarter circle ABC .Given that the distance from A to C is 18,find the area of the figure.DProblem 8Find the least positive integer that has exactly 20positive integer divisors.Problem9Bill bought13notebooks,26pens,and19markers for25dollars.Paula bought27 notebooks,18pens,and31markers for31dollars.How many dollars would it cost Greg to buy24notebooks,120pens,and52markers?Problem10Towers grow at points along a line.All towers start with height0and grow at the rate of one meter per second.As soon as any two adjacent towers are each at least 1meter tall,a new tower begins to grow at a point along the line exactly half way between those two adjacent towers.Before time0there are no towers,but at time 0thefirst two towers begin to grow at two points along the line.Find the total of all the heights of all towers at time10seconds.Problem11The four points A(−1,2),B(3,−4),C(5,−6),and D(−2,8)lie in the coordinate pute the minimum possible value of P A+P B+P C+P D over all points P.Problem12What is the least possible sum of two positive integers a and b where a·b=10!?Problem13Greta is completing an art project.She has twelve sheets of paper:four red,four white,and four blue.She also has twelve paper stars:four red,four white,and four blue.She randomly places one star on each sheet of paper.The probability that no star will be placed on a sheet of paper that is the same color as the star is mwhere m and n are relatively prime positive integers.Find n−100m.nProblem14Let ABCD be a trapezoid with AB parallel to CD,AB has length1,and CD has length41.Let points X and Y lie on sides AD and BC,respectively,such that XY is parallel to AB and CD,and XY has length31.Let m and n be two relatively prime positive integers such that the ratio of the area of ABY X to the.Find m+2n.area of CDXY is mnProblem 15What is the remainder when 789is divided by 1000?Problem 16Let the complex number z =cos 11000+i sin 11000.Find the smallest positiveinteger n so that z n has an imaginary part which exceeds 12.Problem 17How many ordered triples (a,b,c )of odd positive integers satisfy a +b +c =25?Problem 18On triangle ABC let D be the point on AB so that CD is an altitude of the triangle,and E be the point on BC so that AE bisects angle BAC .Let G be the intersection of AE and CD ,and let point F be the intersection of side AC and the ray BG .If AB has length 28,AC has length 14,and CD has length 10,then the length of CF can be written as k −m √pn where k ,m ,n ,and p are positiveintegers,k and n are relatively prime,and p is not divisible by the square of any prime.Find k −m +n +p .Problem 19If a and b are complex numbers such that a 2+b 2=5and a 3+b 3=7,then their sum,a +b ,is real.The greatest possible value for the sum a +b is m +√n 2where mand n are integers.Find n .Problem 20Five men and seven women stand in a line in random order.Let m and n be relatively prime positive integers so that mn is the probability that each manstands next to at least one woman.Find m +n .Problem 21A cylinder radius 12and a cylinder radius 36are held tangent to each other with a tight band.The length of the band is m √k +nπwhere m ,k ,and n are positive integers,and k is not divisible by the square of any prime.Find m +k +n .Problem 22The diagram shows a parabola,a line perpendicular to the parabola’s axis of symmetry,and three similar isosceles triangles each with a base on the line and vertex on the parabola.The two smaller triangles are congruent and each have one base vertex on the parabola and one base vertex shared with the larger triangle.The ratio of the height of the larger triangle to the height of the smaller triangles is a +√bc where a ,b ,and c are positive integers,and a and c are relatively prime.Find a +b +c .Problem 23Square ABCD has side length 4.Points E and F are the midpoints of sides AB and CD ,respectively.Eight 1by 2rectangles are placed inside the square so that no two of the eight rectangles overlap (see diagram).If the arrangement of eight rectangles is chosen randomly,then there are relatively prime positive integers m and n so that mn is the probability that none of the rectangles crosses the line segment EF (as in the arrangement on the right).Find m +n.Problem 24A right circular cone pointing downward forms an angle of 60◦at its vertex.Sphere S with radius 1is set into the cone so that it is tangent to the side of the cone.Three congruent spheres are placed in the cone on top of S so that they are all tangent to each other,to sphere S ,and to the side of the cone.The radius of these congruent spheres can be written as a +√bc where a ,b ,and c are positiveintegers such that a and c are relatively prime.Find a +b +c.Problem 25The polynomial P (x )=a 0+a 1x +a 2x 2+···+a 8x 8+2009x 9has the property that P 1k =1k for k =1,2,3,4,5,6,7,8,9.There are relatively prime positive integers m and n such that P 110=m n .Find n −10m .。

2006 AMC 10B ProblemsProblem 1What is 200621)1(...)1()1(-++-+- ?（A ）-2006 （B ）-1 （C ）0 （D ）1 （E ）2006Problem 2For real numbers and , define . What is ?（A ）-72 （B ）-27 （C ）-24 （D ）24 （E ）72Problem 3A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of 34 points, and the Cougars won by a margin of 14 points. How many points did the Panthers score?（A ）10 （B ）14 （C ）17 （D ）20 （E ）24Problem 4Circles of diameter 1 inch and 3 inches have the same center. The smaller circle is painted red, and the portion outside the smaller circle and inside the larger circle is painted blue. What is the ratio of the blue-painted area to the red-painted area?（A ）2 （B ）3 （C ）6 （D ）8 （E ）9Problem 5A 2*3 rectangle and a 3*4 rectangle are contained within a square without overlapping at any point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square?（A ）16 （B ）25 （C ）36 （D ）49 （E ）64Problem 6A region is bounded by semicircular arcs constructed on the side of a square whose sides measure π2 , as shown. What is the perimeter of this region?（A ）π4 （B ）2 （C ）π8 （D ）4 （E ）π16 Problem 7Which of the following is equivalent to xx x 11-- when ? （A ）x - （B ）x （C ）1 （D ）2x （E ）1-xProblem 8A square of area 40 is inscribed in a semicircle as shown. What is the area of the semicircle?（A ）20π （B ）25π （C ）30π （D ）40π （E ）50π Problem 9Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade?（A ）129 （B ）137 （C ）174 （D ）233 （E ）411 Problem 10In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?（A ）43 （B ）44 （C ）45 （D ）46 （E ）47 Problem 11What is the tens digit in the sum 7!+8!+9!+ (2006)（A ）1 （B ）3 （C ）4 （D ）6 （E ）9 Problem 12 The lines a y x +=41 and b x y +=41 intersect at the point (1, 2). What is b a +? （A ）0 （B ）43 （C ）1 （D ）2 （E ）49 Problem 13Joe and JoAnn each bought 12 ounces of coffee in a 16 ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee?（A ）76 （B ）1413 （C ）1 （D ）1314 （E ）67 Problem 14Let and be the roots of the equation 022=+-mx x . Suppose that )/1(b a + and)/1(a b + are the roots of the equation 02=+-q px x . What is ?（A ）25 （B ）27 （C ）4 （D ）29 （E ）8 Problem 15Rhombus ABCD is similar to rhombus BFDE . The area of rhombus ABCD is 24 and ∠BAD =60º. What is the area of rhombus BFDE ?（A ）6 （B ）34 （C ）8 （D ）9 （E ）36 Problem 16Leap Day, February 29, 2004, occurred on a Sunday. On what day of the week will Leap Day, February 29, 2020, occur?（A ）Tuesday （B ）Wednesday （C ）Thursday （D ）Friday （E ）Saturday Problem 17Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob's bag. Bob then randomly selects one ball from his bag and puts it into Alice's bag. What is the probability that after this process the contents of the two bags are the same?（A ）101 （B ）61 （C ）51 （D ）31 （E ）21 Problem 18Let a 1, a 2, … be a sequence for which a 1=2, a 2=3, and 21--=n n n a a a for each positive integer 3≥n . What is?（A ）21 （B ）32 （C ）23 （D ）2 （E ）3 Problem 19A circle of radius 2 is centered at O . Square OABC has side length 1. Sides AB and CB are extended past B to meet the circle at D and E , respectively. What is the area of the shaded region in the figure, which is bounded by BD , BE , and the minor arc connecting D and E ?（A ）313-+π（B ）)32(2-π（C ）)32(-π（D ）2136++π（E ）313+-π Problem 20In rectangle ABCD , we have A =(6,-22) , B =(2006,178) , D =(8,y ) , for some integer . Whatis the area of rectangle ABCD ?（A ）4000 （B ）4040 （C ）4400 （D ）40,000 （E ）40,400 Problem 21For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6, on eachdie are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice?（A ）634 （B ）81 （C ）638 （D ）61 （E ）72 Problem 22Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at ¢ per glob and blobs of jam at ¢ per blob. The cost of the peanut butter andjam to make all the sandwiches is <dollar/>2.53. Assume that B , , and are positiveintegers with 1 N . What is the cost of the jam Elmo uses to make the sandwiches?（A ）1.05 （B ）1.25 （C ）1.45 （D ）1.65 （E ）1.85Problem 23A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 3, 7, and 7 as shown. What is the area of the shaded quadrilateral?（A ）15 （B ）17 （C ）235 （D ）18 （E ）355 Problem 24Circles with centers O and P have radii 2 and 4, respectively, and are externally tangent. Points A and B on the circle with center O and points C and D on the circle with center P are such that AD and BC are common external tangents to the circles. What is the area of the concave hexagon AOBCPD ?（A ）318 （B ）224 （C ）36 （D ）324 （E ）232 Problem 25Mr. Jones has eight children of different ages. On a family trip his oldest child, who is 9, spots a license plate with a 4-digit number in which each of two digits appears two times. "Look, daddy!" she exclaims. "That number is evenly divisible by the age of each of us kids!" "That's right," replies Mr. Jones, "and the last two digits just happen to be my age." Which of the following is not the age of one of Mr. Jones's children?（A ）4 （B ）5 （C ）6 （D ）7 （E ）82006 AMC 10B SolutionsProblem 1Since -1 raised to an odd exponent is -1 and -1 raised to an even integer exponent is 1:Problem 2Since :Problem 3Let be the number of points scored by the Cougars, and be the number of pointsscored by the Panthers. The problem is asking for the value of .10,2414,34==⇒=-=+y x y x y x Problem 4The area painted red is equal to the area of the smaller circle and the area painted blue is equal to the area of the larger circle minus the area of the smaller circle.So: 4)21(2ππ==red A πππ2)21()23(22=-=blue A So the desired ratio is: D ⇒=8)4//(2ππProblem 5By placing the 2*3 rectangle adjacent to the 3*4 rectangle with the 3 side of the 2*3 rectangle next to the 4 side of the 3*4 rectangle, we get a figure that can be completely enclosed in a square with a side length of 5. The area of this square is 52=25. Since the sum of the areas of the two rectangles is 2·3+3·4=18, the area of a squarecannot be less than 18. Therefore 16 is not possible. So the answer is 25. Problem 6Since the side of the square is the diameter of the semicircle , the radius of the semicircle is ππ1221=∙. Since the length of one of the semicircular arcs is half the circumference of thecorresponding circle , the length of one arc is 11221=∙∙∙ππ. Since the desired perimeter ismade up of four of these arcs, the perimeter is 4·1=4 Problem 7x x x xx x x x x x ==-=---2111 Since ,Problem 8Since the area of the square is 40, the length of the side is 10240=. The distance between the center of the semicircle and one of the bottom vertecies of the square is half the length of the side, which is 10. Using the Pythagorean Theorem to find the square ofradius,50)10()102(222=+=r . So, the area of the semicircle is ππ255021=∙∙Problem 9The calorie to gram ratio of Francesca's lemonade isgramscalories grams calories 200137600411400100100038625==++++ So in 200grams of Francesca's lemonade thereare calories gramscalories grams 137200137200=∙ Problem 10Let be the length of the first side. The lengths of the sides are: ,3,x x and 15. Bythe Triangle Inequality , 2/15153<⇒+<x x x . The largest integer satisfying thisinequality is 7. So the largest perimeter is 7+3·7+15=43 Problem 11Since 10! is divisible by 100, any factorial greater than 10! is also divisible by 100. The last two digits of all factorials greater than 10! Are 00, so the last two digits of 10! +11!+…+2006! is . (*)So all that is needed is the tens digit of the sum 7! +8! +9!7! +8! +9!=5040+40320+362880=408240. So the tens digit is(*) A slightly faster method would have to take the (mod 100) residue of 7! +8! +9!Since 7!=5040 we can rewrite the sum asSincethe last two digits of the sum is 40, the tens digit is 4 Problem 12Since (1,2) is a solution to both equations, plugging in 1=x and 2=y will give thevalues of and .212411=⇒+∙=a a 471412=⇒+∙=b b So: 494721=+=+b a Problem 13After drinking and adding cream, Joe's cup has 2 ounces of cream.After adding cream to her cup, JoAnn's cup had 14 ounces of liquid. By drinking 2 ounces out of the 14 ounces of liquid, she drank 2/14=1/7th of the cream. So there is712762=∙ ounces of cream left. So the desired ratio is: 672712= This is problem 6.2.5 in the Art of Problem Solving, Introduction to AlgebraProblem 14In a quadratic equation in the form 02=++c bx x , the product of the roots is (Vieta'sFormulas). Using this property, we have that 2=ab andNotice the fact that we never actually found the roots.Problem 15Using properties of a rhombus , ∠DAB=∠DCB=60º and ∠ADC=∠ABC=120º. It is easy to see that rhombus ABCD is made up of equilateral triangles DAB and DCB . Let the lengths of the sides of rhombus ABCD be .The longer diagonal of rhombus BFDE is BD . Since BD is a side of an equilateral triangle with a side length of , BD =s . The longer diagonal of rhombus ABCD is AC . Since AC istwice the length of an altitude of of an equilateral triangle with a side length of ,3232s s AC =∙=. The ratio of the longer diagonal of rhombus BFDE to rhombus ABCD is 333=s s. Therefore, the ratio of the area of rhombus BFDE to rhombus ABCDis31)33(2=. Let be the area of rhombus BFDE . Then (x /24)=(1/3) , so x . Problem 16There are 365 days in a year, plus extra day if there is a Leap Day, which occurs onyears that are multiples of 4 (with a few exceptions that don't affect this problem). Therefore, the number of days between Leap Day 2004 and Leap Day 2020 is:16·365+ 4·1=5844. Since the days of the week repeat every 7 days and 5844≡-1 (mod7), the day of the week Leap Day 2020 occurs is the day of the week the day before LeapDay 2004 occurs, which is Saturday. Problem 17Since there is the same amounts of all the balls in Alice's bag and Bob's bag, and there is an equal chance of each ball being selected, the color of the ball that Alice puts in Bob's bag doesn't matter. Without loss of generality , let the ball Alice puts in Bob's bag be red. For both bags to have the same contents, Bob must select one of the 2 red balls out of the6 balls in his bag. So the desired probability is 2/6=1/3 Problem 18Looking at the first few terms of the sequence:Clearly, the sequence repeats every 6 terms. Since 2006≡2 mod6,E a a ⇒==322006 Problem 19Solution 1The shaded area is equivalent to the area of sector DOE , minus the area of triangle DOE plus the area of triangle DBE .Using the Pythagorean Theorem , 312)()(2222=-==CE DA so. Clearly, DOA and EOC are 30—60—90 triangles with. SinceOABC is a square,. can be found by doing some subtraction ofangles.So, the area of sector DOE 32360302ππ=∙∙.The area of triangle DOE 130sin 2221=︒∙∙∙.Since AB=CB =1 , DB=ED =)13(-. So, the area of triangle DBE is32)13(212-=-.Therefore, the shaded area isSolution 2From the pythagorean theorem, we can see that DA is 3. Then, DB=DA-BA =13-. The area of the shaded element is the area of sector DOE minus the areas of triangeDBO and triange EBO combined. Because (Using the Base Altitude formula, where DB and BE are the bases and OA and CO are the altitudes,respectively), we have the area of sector DBE to beProblem 20Solution 1Let the slope of AB be and the slope of be .10162006)22(1781=---=m 22268)22(2+=---=y y m Since AB and AD form a right angle:121m m -= 102-=m 10222-=+y 42-=y Using the distance formula :Therefore the area of rectangle ABCD isSolution 2This solution is the same as Solution 1 up to the point where we find that 42-=y .We build right triangles so we can use the Pythagorean Theorem. The triangle with hypotenuse AB has legs 200 and 2000, while the triangle with hypotenuse AD has legs 2 and 20. Aha! The two triangles are similar, with one triangle having side lengths 100 times the other!Let AD=x . Then from our reasoning above, we have AB =100x . Finally, the area of therectangle is 40400)220(100100)(100222=+==x x x Problem 21Let be the probability of rolling a 1. The probabilities of rolling a 2, 3, 4, 5, and 6 are,5,4,3,2x x x x and x 6, respectively.The sum of the probabilities of rolling each number must equal 1, so21/1121165432=⇒=⇒=+++++x x x x x x x xSo the probabilities of rolling a 1,2,3,4,5, and 6 are respectively 215,214,213,212,211 , and 216. The possible combinations of two rolls that total 7 are:The probability of rolling a total of on the two dice is equal to the sum of the probabilities of rolling each combination.Problem 22The peanut butter and jam for each sandwich costs¢, so the peanut butter andjam for sandwiches costs¢.Setting this equal to ¢:The only possible positive integer pairs whose product is 253 are: )1,253();11,23();23,11();253,1(The first pair violates N >1 and the third and fourth pair have no positive integer solutions for B and . So, N =11 andThe only integer solutions for B and are B=2 and J=3. Therefore the cost of the jamElmo uses to make the sandwiches is ¢Problem 23Label the points in the figure as shown below, and draw the segment CF . This segment divides the quadrilateral into two triangles, let their areas be and .Since triangles AFB and DFB share an altitude from B and have equal area, their bases must be equal, hence AF=DF .Since triangles AFC and DFC share an altitude from C and their respective bases are equal, their areas must be equal, hence y x =+3.Since triangles EFA and BFA share an altitude from A and their respective areas are in the ratio 3:7, their bases must be in the same ratio, hence EF:FB =3:7.Since triangles EFC and BFC share an altitude from C and their respective bases are in the ratio 3:7, their areas must be in the same ratio, hence 7:3)7(:=+y x , which gives us )7(37+=y x .Substituting 3+=x y into the second equation we get )10(37+=x x , which solves tox =15/2 . Then 2/213=+=x y , and the total area of the quadrilateral is 18=+y x . Problem 24Since a tangent line is perpendicular to the radius containing the point of tangency,. Construct a perpendicular to DP that goes through point O .Label the point of intersection X . Clearly OADX is a rectangle , so DX =2 and PX =2 . By the Pythagorean Theorem , 242622=-=OX .The area of OADX is 28242=∙. The area of OXP is 2424221=∙∙, so the areaof quadrilateral OADP is 2122428=+. Using similar steps, the area ofquadrilateral OBCP is also 212. Therefore, the area of hexagon AOBCPD is 224 Problem 25Solution 1:Let S be the set of the ages of Mr. Jones' children (in other words S i ∈ if Mr. Jones has a child who is years old). Then 8=S and S ∈9. Let be the positiveinteger seen on the license plate. Since at least one of 4 or 8 is contained in S , we have 4∣m .We would like to prove that S ∉5, so for the sake of contradiction, let us suppose that S ∈5. Then 5·4=20∣m , so the units digit of is 0. Since the number has two distinctdigits, each appearing twice, another digit of must be 0. Since Mr. Jones can'tbe 00 years old, the last two digits can't be 00. Therefore must be of the form d 0d 0 ,where d is a digit. Since m is divisible by 9, the sum of the digits of must be divisibleby 9 (see Divisibility rules for 9). Hence which implies d =9. But m =9090 is notdivisible by 4, contradiction. So S ∉5and 5 (We might like to check that there does, indeed, exist such a positive integer m . If 5 is not an age of one of Mr. Jones' kids, then the license plate number must be a multiple of 504)9,8,7,6,4,3,2,1(=lcm . Since 11·504=5544 and 5544 is the only 4 digit multiple of 504 that fits all the conditions of the license plate's number, the license plate's number is 5544.)Solution 2:Alternatively, we can see that if one of Mr. Jones' children is of the age 5, then the license plate will have to end in the digit 0. This means that the license plate would have to have two 0 digits, and would either be of the form XX 00 or X 0X 0 (X being the other digit in the license plate) . The condition XX 00 is impossible as Mr. Jones can't be 00 years old. If we separate the second condition, X 0X 0 into its prime factors, we get X ·11·101. 11 and 101 are prime, therefore can't account for allowing X 0X 0 being evenly divisible by the children’s ' ages. This leaves X , but no single digit numbercontains all the prime factors of the children’s ages, thus 5 can't be one of the children’s ages.Solution 3:Another way to do the problem is by the process of elimination. The onlypossible correct choices are the highest powers of each prime, 55,93,82123===,and 771=, since indivisibility by any powers lower than these means indivisibility by ahigher power of the prime (for example, indivisibility by 422= means indivisibility by()823=. Since the number is divisible by 9, it is not the answer, and the digits have toadd up to 9. Let (a,b ) be the digits: since , .The only possible choices for (a,b ) are )6,3(),7,2(),8,1(),9,0( and )5,4(. Since the last 2 digits are divisible by 4, )5,4(),8,1(, and )9,0( can be eliminated. Only )6,3( and )7,2( remain;since there is no 5 or0 in either pair, the number cannot be divisible by 5. 2006 AMC 10B Answer Key1. C2. A3. A4. D5. B6.D7.A8.B 8. B 10. A11.C 12. E 13.E 14.D 15. C 16.E 17. D 18.E 19.A 20.E21.C 22.D 23.D 24.B 25.B2006 AMC 10B。

2009年9月公共英语二级真题及答案(总分70, 考试时间90分钟)第一部分听力理解略第二部分英语知识运用第一节单项填空从A、B、C和D四个选项中,选出可以填入空白处的最佳选项。

1．-Your sister looks beautiful. Is she a model or a film star -______. She's a doctor.A．Whatever you sayB．Forget about itC．You betD．Far from it2．I'11 send you my address______ I find somewhere to live.A．althoughB．asC．whileD．once3．-Who is late this time -______you ask Susan, of course.A．CouldB．CanC．NeedD．Would4．Mack is very busy; he is a full-time student, while______ a part-time job.A．to holdB．being heldC．heldD．holding5．-Harry treats his secretary badly. -Yes, he seems to think that she's the______ important person in the office.A．lessB．leastC．moreD．most6.Alice was about to______, when she suddenly found an answer to the question.A．make upB．look upC．turn upD．give up7．It was a big celebration-______people gathered at the city square.A．five thousandsB．five thousandC．thousandsD．thousand of8．______ if he'd ever been fined before, Mathew replied, "Only for speeding. "A．AskingB．AskedC．To askD．Having asked9．Although it was not named______ 1782,this kind of metal was used as early as 5300 B.C. A．forB．inC．untilD．since10．Just think, in three months it'll be summer again.A．otherB．anotherC．theseD．those11.Tony couldn't go to university but______ his education through evening school courses. A．has continuedB．continuedC．continuesD．had continued12．It is said that Sally's been painting for years since she was a little girl,______A．isn't sheB．hasn't itC．hasn't sheD．doesn't it13．-"Do you mind if I smoke" -"Well, actually,______. "A．I'd rather you didn'tB．go aheadC．it doesn't workD．never mind14．John and Sue______ computer games for hours before their parents came home from work.A．are playingB．have been playingC．playedD．had been playing15．Please give me more time;______ I shall not be able to finish the paper by next Monday.A．meanwhileB．thereforeC．otherwiseD．still第二节完型填空阅读下面短文,从短文后所给各题的四个选项(A、B、C和D)中选出能填入相应空白处的最佳选项。