湖北省武汉外国语学校2016-2017学年高二上学期期中考试英语试题
武汉外国语学校2016—2017学年度上学期期中考试高二英语试题考试时间:120分钟试卷满分:145分Part I Listening (total 30 marks)Section AListen to the five dialogues, and choose the correct answer to each question. Each dialogue will be played only once.1. What is the woman likely to do at Christmas?A. Meet some of her friends.B. Help her mother do some cooking.C. Do anything she may come across.2. Where does this conversation probably take place?A. In a hotel.B. In a restaurant.C. In a bank.3. Why was the plane late?A. The weather was bad.B. Someone was badly ill.C. The engine needs repairing.4. What is the probable relationship between the speakers?A. Doctor and patient.B. Husband and wife.C. Friends.5. What do we know about Kate?A. She is Lucy’s sister.B. She is Lucy’s mother.C. She is Sam’s nieceSection B (25 marks)Listen to the five dialogues or passages and choose the correct answer to each question. Each dialogue or passage will be played twice.Listen to the dialogue 6 and answer question 6 and 7.6. Where did the woman live three months ago?A. In her own house.B. In a student hou se.C. With a local family.7. What is the woman’s problem in studying?A. The course is too difficult.B. The student house is too noisy.C. The computer room is busy.Listen to the dialogue7 and answer question 8 and 9.8. How does the man feel about his interview tomorrow?A. He is worried about it.B. He is looking forward to it.C. He is sure of what to expect.9. What impressed the woman most?A. The man’s German.B. The man’s experience.C. The man’s business skill Listen to the dialogue 8 and answer question 10 to 12.10. How far is the man’s hometown fr om the sea?A. About 8 miles.B. About 100 miles.C. About 100 kilometers.11. What do the tourists do in the man’s hometown?A. Visiting the old museum.B. Planning for the next year.C. Slowing down and enjoying old buil dings.12. Wha t’s the favorite activity there in January?A. Skiing.B. Picnic.C. Camping.Listen to the dialogue 9 and answer question 13 to 16.13. At least how many people will attend the party?A. FourB. FiveC. Six14. What is the possible relationship between the two speakers?A. Classmates.B. Workmates.C. Teammates.15. When wi ll the woman come to the get-together?A. At 4:45 pm.B. At 5:00pm.C. At 5:15 pm.16. Where will the speakers meet this Friday’s evening?A. At the woman’s.B. At school.C. At the man’s.Listen to the passage 10 and answer question 17 to 20.17. What occupation is mentioned in the talk?A. A managerB. A teacher.C. A salesman18. How can we show our interest in the company?A. Asking proper questions about the company.B. Letting the interviewer know more about you.C. Giving as much advice as possible to the interviewer.19. How can we succeed in an interview according to the speaker?A. Giving as much information as possible.B. Being friendly as much as possible.C. Being confident and preparing well.20. How many tips does the speaker give us?A. Two.B. Three.C. Four.Part II Use of Vocabulary and Grammar (total 40 marks)Section A Multiple Choice (20 marks)21. — Did the professor say anything that ________ to you especially?— Not really. Actually I slept halfway through his speech.A. addictedB. attachedC. appealedD. referred22. Diplomas play an important role in job-hunting, but a good diploma cannot be a(n) ________ for agood job.A. accessB. privilegeC. guaranteeD. permission23. If you just spend time ________ advantages and disadvantages, you may get nothing in the end.A. matchingB. balancingC. observingD. examining24. Sally is very quiet and you never know what she’s thinking. She doesn’t _______ much away.A. takeB. giveC. haveD. put25. The long-awaited season of A Bite of China _______ more than 150 regions across the country andtakes six months to film.A. coversB. containsC. obtainsD. sustains26. Be grateful for what you have, and you’ll _______ having more. If you concentrate on what you don’thave, you will never have enough.A. pick upB. end upC. set upD. take up27. People who eat out more _______ have higher rates of becoming fat than those who eat at home, forrestaurant meals usually have more calories than what we prepare at home.A. fundamentallyB. fortunatelyC. frequentlyD. faithfully28. Our first priority is to maintain customers’ confidence _______ our product.A. withB. toC. onD. in29. There are small, beautiful towns in China where the environment is clean, house prices are on a(n)_______ level and living quality is high.A. adaptableB. adjustableC. reasonableD. reliable30. It is very hard for Mary to work there, for ________ she does can’t satisfy her boss.A. no matter howB. howeverC. no matter whatD. whatever31. His first movie _______ next month is based on true story.A. to releaseB. to be releasedC. releasedD. being released32. The reports went missing in 2012 and nobody ________ them ever since.A. seesB. sawC. has seenD. had seen33. The film star wears sunglasses. Therefore, he can go shopping without _______.A. recognizingB. being recognizedC. having recognizedD. having been recognized34. Not only ______ snacks and drinks, but they also brought cards for entertainment when they had picnicin the garden.A. they broughtB. did they bringC. brought theyD. they did bring35. — How are you planning to travel to Shanghai?— I ______ yet, but I ______ taking a train.A. didn’t decide; am consideringB. haven’t decided; considerC. haven’t decided; am consideringD. hadn’t decided; have considered36. ______ no modern telecommunications, we would have to wait for weeks to get news from around theworld.A. Were thereB. Had there beenC. If there areD. If there have been37. With so many directors _______, the board meeting had to be put off.A. were absentB. had been absentC. been absentD. absent38. The highway _______ to the city is under repair now.A. ledB. leadsC. to leadD. leading39. —I’m sure Andrew will win the first prize in the final.— I think so. He ________ for it for months.A. is preparingB. was preparingC. has been preparingD. had been preparing40. I am looking forward to the day ______ my daughter can read this book and know my feelings for her.A. whichB. whatC. whenD. thatSection B Complete the sentences with an appropriate form of the words in brackets.Only one word for each blank (10 marks)41. Property _________ often knock down houses and build new ones in their place. (develop)42. We have to pay the rent within a week to avoid _________. (evict)43. There is a nice fully-_________ flat for rent on the sea front. (furnish)44. The couple had a big row and split up, but _________ enough, they made up two weeks later.(interest)45. Sometimes you have to pay a _________ fee when you rent a flat. (maintain)46. Tokyo and New York are major _________ centres in the world. (finance)47. The owners took _________ of their house once the squatters had left. (possess)48. The schemes provide community services in _________ regions across Wales. (deprive)49. The local council has made numerous _________ to the housing estate. (improve)50. Now I’ve bought new furniture, I wish I had a more __________ flat. (space)Section C Sentence pattern drills (10 marks)Complete the second sentence so that it has the same meaning as the first. Use the word in bracket if there is any.51. When she got involved in the project, she realized that people often need help and support to do theirbest.Only when she got involved in the project _____ _____ _____ that people often need help and support to do their best.52. Because they are unable to pay both rent and living expenses, some homeless people squat in someempty commercial properties.If they _____ _____ _____ pay both rent and living expenses, some homeless people wouldn’t squat in some empty commercial properties.53. The 2016 US presidential election has shocked the world, for the two rivals are always condemningeach other.With the two rivals _____ ______ each other, the 2016 presidential election has shocked the world. 54. Money always burnt a hole in his pocket but now he often keeps some money back for a rainy day.He _____ _____ _____ keep some money back for a rainy day and money always burnt a hole in his pocket. (used)55. Although awards of previous years have gone to writers of prose, poetry and drama, the SwedishAcademy announced on October13 that American singer Bob Dylan was this year’s winner.Despite _____ _____ _____ awards of previous years have gone to writers of prose, poetry and drama, the Swedish Academy announced on October that American singer Bob Dylan was this year’s winner.Part III Reading (total 40 marks)Section A Multiple Choice (30 marks)AChildren with autism have difficulty with social skills and communication. They often behave in limited and repeated ways and have what seem like unusual strong intere sts.Autism is more common in boys than girls. What causes it is not clear. Scientists are studying genes and possible environmental influences.Doctors usually cannot confirm a diagnosis of autism until a child is about three years old. Rebecca Landa is a researcher at the Kennedy Krieger Institute and Johns Hopkins University School of Medicine inMaryland. Professor Landa wanted to find out what differences in development might be seen earlier. She led a new study that observed 235 babies between six and thirty-six months of age.―At six months of age, the signs of some risk for developing communication and s ocial delays, including autism, include motor delay. For instance, when you lay your baby on their back and you pull them by the arms gently into a seated position, the baby’s head may nod back behind the shoulders, like poor head control. So that does not mean that the baby is going to have autism, but it does mean the baby needs to have some exercises to strengthen their body. And when they strengthen their body, they are better able to play with toys and engage with people, which then go on to help them have better outcomes.‖By the time a baby is one year old, signs of possible autism include difficulty in using words and not looking eye-to-eye or reaching out to other people. By 14 months, the baby might smile less and use language less. However, Professor Landa says these signs can be so small that they might be missed during a short health exam.―It’s important for parents to stay tuned in to their children’s development, and if a parent is concerned about a child’s development, seek for professionals, and listen to them.‖ The earlier parents notice delays, she says, the sooner they can begin doing simple things that may help improve their child’s development, such as talking to the child about what they are doing, commenting when the child shows them something, and playing simple games that keep the child’s attention.56. What’s the best title of the passage?A. How to Confirm a Diagnosis of AutismB. Watching for Early Signs of Autism in BabiesC. Ways to Help Children with Autism to RecoverD. Children with Autism Have Difficulty in Communication57. What can we learn from the third paragraph?A. Landa has found ways to confirm a diagnosis of autism when a baby is about six months.B. Landa tried to find out autism earlier by comparing the differences as the baby grows up.C. Doctors observed 235 babies between six and 36 months of age under the guide of Landa.D. Now doctors can confirm diagnosis of autism before a child is about three years old.58. When a baby with signs of possible autism is a year and two months, he or she may ________.A. show great interest in learningB. have difficulty in raising his headC. like reaching out to other peopleD. express less when communicating with others59. What should the parents do when their child is diagnosed with autism?A. Send the child to the hospital at once.B. Find a special school for children with autism.C. Spend more time talking with the child.D. Encourage the child to play games online.60. In which column could you find this passage?A. Education Report.B. Health Report.C. Economics Report.D. Sports Report.BOver the last 25 years, British society has changed a great deal - or at least many parts of it have. In some ways, however, very little has changed, particularly where attitudes are concerned. Ideas about social class –whether a person is ―working-class‖ or ―m iddle-class‖ – are one area in which changes have been extremely slow.In the past, the working-class tended to be paid less than middle-class people, such as teachers and doctors. As a result of this and also of the fact that workers’ jobs were generally much less secure, distinct differences in lifestyles and attitudes came into existence. The typical working man would collect his wages on Friday evening and the n, it was widely believed, having given his wife her ―housekeeping‖, would go out and spend the rest on beer and betting.The stereotype of what a middle-class man did with his money was perhaps nearer the truth. He was –and still is – tended to take a longer-term view. He not only regarded buying a house as a most important thing, but also considered the education of his children as extremely important. Both of these provided him and his family with security. Only in very few cases did workers have the opportunity to make such long-term plans.Nowadays, a great deal has changed. In a large number of cases, factory workers earn as much, if not more, than their middle-class administrators. Besides, social security and laws have made it less necessary tha n before to worry about ―tomorrow‖. Working-class people seem slowly to be losing the feeling of inferiority they had in the past. In fact, there has been a growing tendency in the past few years for the middle-classes to feel slightly ashamed of their position.The changes in both lifestyles and attitudes are probably most easily seen among younger people. They generally tend to share very similar tastes in music and clothes; they spend their money in having a good time, and save for holidays or longer-term plans when necessary. There seems to be much less difference than in previous generations. Nevertheless, we still have a wide gap between the well-paid (whatever the type of job they may have) and the low-paid. As long as this gap exists, there will always bea possibility that new conflicts and jealousies will arise, or that the old conflicts will re-appear, but between different groups.61. Which of the following are seen as the main causes of class differences in the past?A. Lifestyle and position.B. Attitude and income.C. Income and job security.D. Job security and hobbies.62. According to paragraph 2 and 3, the writer seems to suggest that _______.A. middle-class men have a tendency to make long-term plansB. middle-class people spent money on housekeepingC. working-class drinking habits differ from the pastD. working-class men had more opportunities to plan for future63. According to the passage, what was the most typical feature of the working–class in the past?A. They felt less secure.B. They had the sense of inferiority.C. They worried less about tomorrow.D. They could make as much money as they do now.64. Working-class people’s sense of security has increased as a result of all the following factors EXCEPT that _______.A. better social securityB. higher incomeC. more job opportunitiesD. better legal protection65. Which of the following statements is incorrect?A. Changes are slowly taking place in all aspects of the British society.B. The gap between working-class and middle-class young people is narrowing.C. Differences in income will still remain.D. Middle-class people may sometimes feel a little inferior.Section B Match the sentences with the correct person A–D. There is one person you need to use twice. (10 marks)C People and MoneyA Jim GarethMoney, or shall we say the constant absence of it, drives us crazy. I suppose it all started when I was at university, and I’d borrowed quite a large sum by the time I graduated. When you are a fresh graduate, it’sdi fficult to find a good job and I got into debt quite rapidly. I haven’t been able to repay what I borrowed for some years now. My wife was in exactly the same situation when she graduated and she came into our relationship with her own debts. Then there we re the expenses with the wedding, of course, and now we’re totally broke!B Karen JonesOur situation became critical last year, as we were in danger of getting evicted from our house because we weren’t able to pay the mortgage. In the end we had to borrow a lot of money from my husband’s family. It has taught us a valuable lesson though: don’t get a larger house than you can afford, especially for a rip-off price, and certainly don’t recklessly overspend on a costly wedding if you’re already in debt!C Henry PollackMy wife says that I am really stingy with money, but I would call myself sensible. I don’t think spending wisely is mean at all. You see, I have always been in charge of our family finances and I think my wife is grateful to me for taking that responsibility solely on myself. All my married life, I have been sitting down with a glass of sherry on a Sunday evening to work out a weekly budget from our total income, planning carefully what we could afford to buy and how much we would have to save up for the more costly items, such as a new TV or washing machine. Unlike our friends, we go on holiday every year, and I can assure you that our earnings are quite modest.D Evelyn SimmonsOur pensions are not much to boast about, but we are doing fine. We manage to pay our bills, we’ve paid off our mortgage and we still have some money left over for life’s little luxuries. And if times got really hard, we have a few valuable items in our loft that could fetch quite a large sum at auction(拍卖). We’ll be fi ne, as long as we have each other.66. ___ almost had their house repossessed due to fina ncial difficulties.67. ___ is a precise financial planner.68. ___ is planning to sell some of their possessions if difficult financial times come along.69. ___ shared the same financial problems as his/her partner.70. ___ has bought a property that was overpriced.Section C Match the gaps in the text with five of the sentences (A-G). There are two sentences you donot need. (10 marks)D Money MattersParents should h elp their children understand money. 71 . So you may start talking about money when your child is interested in buying things, candy or toys, for example.The basic function of moneyBegin explaining the basic function of money by showing how people trade money for goods or services. It is important to show your child how money is traded for the things he wants to have. If he wants to have a toy, give him the money and let him hand the money to the cashier. 72 . When your child grows a bit older and understands the basic function of money, you can start explaining more complex ways of using money.Money lessonsApproach money lessons with openness and honesty. 73 . If you must say no to a child’s request to spend money, explain, ―You have enough toy trucks for now.‖ Or, if the request is for many different things, say, ―You have to make a choice between this toy and that toy.‖74Begin at the grocery store. Pick out two similar brands of a product —a name-brand butter and a generic(无商标产品), for example. You can show your child how to make choices between different brands of a product so that you can save money. 75 . If he chooses the cheaper brand, allow him to make another purchase with the money saved. Later, you may explain how the more expensive choice leaves less money for other purchases.A. Wise decisionsB. The value of moneyC. Permit the child to choose between themD. Tell your child why he can —or cannot — have certa in thingsE. Ask yourself what things that cost money are most important to youF. Talk about how the money bought the thing after you leave the toy storeG. The best time to teach a child anything about money is when he shows an interestPart IV Grammar Correction (total 10 marks)In early January this year, the rate of UFO reports were steady, around three per week. When, however, on Monday, January 16, a science fiction film a bout visitors to outer sp ace was shown on television, the number of reports of sightings from all parts of the states immediate increase. The commanding officer, Wayne Tyler, who directly responsible for the study of all such reports, decided to make his findings know. They wrote an article, which said that all UFO reports could be explained quite naturally by aircraft movements. Follow this explanation, there was a rapid drop in a number of reported sightings. Despite of this, the rate still remained above the previously level.Part III Composition (total 25marks)Write an essay answering this question: Do you agree friendship is more valuable than money? (100 –150 words) Follow this plan:●decide if you agree or disagree;●give your opinions, with supporting statements or examples;●make a conclusion.Part I Listening1-5 CBCA B 6-10 CCAAB 11-15 CACAC 16-20 CBACBPart II V ocabulary and Grammar21-25 CCBBA 25-30 BCDCD 31-35 BCBBC 36-40 ADDCCPart III Reading56-60 BBDCB 61-65 CABCA 66-70 BCDAB 71-75 GFDAC41. developers 42. eviction 43. furnished 44. interestingly 45. maintenance 46. privacy 47. possession 48. deprived 49. improvements 50 spacious51. did she realize52. were able to53. always condemning54. never used to /didn’t use to/used not to55. the fact thatCorrection1. were—was2. to—from3. increase—increased4. 加was5. know—known6. They—He7. Follow—Following8. a—the9. 去掉of 10. previously—previous。
湖北省武汉外国语学校2014-2015学年高二上学期期中考试英语试
湖北省武汉外国语学校2014-2015学年高二上学期期中考试英语试考试时间:2014年11月21日下午10:00-12:00 满分:150分第一部分:听力(共两节,满分30分)做题时,先将答案划在试卷上。
录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5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。
1.How did the man come back home?A. By air.B. By train.C. By car.2.What does the woman imply about the man?A. He should work harder.B. He can pass the exam.C. He will fail the exam.3.What does the man suggest doing?A. Taking a walk.B. Finishing the report.C. Going to the library.4.When should the woman hand in the paper?A. Before WednesdayB. On WednesdayC. On Nov.1st5.What are the two speakers mainly talking about?A. Age.B. Friends.C. Clothes.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。
每段对话或独白后有几个小题,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。
听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
湖北省武汉外国语学校2023-2024学年高二下学期期末考试英语试卷(含答案)
武汉外国语学校2023-2024学年度下学期期末考试高二英语试题考试时间:2024年6月27日考试时长:120分钟试卷满分:150分第一部分听力(共两节,满分20分)第一节(共5小题;每小题1分,满分5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。
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。
1. 【此处可播放相关音频,请去附件查看】What will the man do?A. Drink coffee.B. Add some water.C. Wash cups.2. 【此处可播放相关音频,请去附件查看】When will the man finish studying?A. At 1:00 a. m.B. At 9:00 p. m.C. At 11:00 p. m.3. 【此处可播放相关音频,请去附件查看】What will the woman probably do next?A. Go to check on her mother.B. Send her mother to hospital.C. Answer her mother’ s phone.4. 【此处可播放相关音频,请去附件查看】What is the probable relationship between the speakers?A. Co-workers.B. Husband and wife.C. Sales clerk and customer.5. 【此处可播放相关音频,请去附件查看】What food has been sold out?A. Chips.B. Nuts.C. Chocolate.第二节(共15小题;每小题1分,满分15分)听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项。
湖北省武汉市外国语学校高二英语测试题含部分解析
湖北省武汉市外国语学校高二英语测试题含解析一、选择题1. In considering men for jobs in our firm, we give ____ to those with some experience.A. privilegeB. adviceC. prizeD. preference参考答案:D2. ---How do you find ‘Reading is to our mind what exercise is to our body’?---I couldn’t read enough.A. one can’t read enoughB. one can read too many booksC. all that one reads is not badD. all that one reads is enough参考答案:A句意:——你是如何认为“阅读至于我们的大脑就像运动至于我们的身体”?——我看到不够多。
A项:一个人读的不够。
B项:一个人可以读太多书了。
C项:一本书读起来不错。
D 项:读一本就够了。
可以看出A项与回答者的意思最相近。
故选A。
3. —Jack, this is the third time that you have been late this week.—Sorry, sir, but I was ______ for 15 minutes on the way here in the traffic jam.A. held upB. put upC. taken upD. given up参考答案:A4. You will soon _______ if you continue working day and night like that.A. break outB. break downC. break awayD. break off参考答案:B5. She cannot________her husband making fun of her.A.put B.leave C.make D.stand参考答案:D 6. The words and deeds about Second World War from the Japanese leaders have seriously ___ Chinese-Japanese relationship and the belief of each other, which tenses the whole Asia.A. impairedB. conductedC. annoyedD. divorced参考答案:A7. If you think there________huge quantities of oil for the use of drivers, you are wrong.A.is B.are C.has D.have参考答案:B8. The pianos in the other shop will be _____, but _____.A. cheaper; not as betterB. More cheap; not as betterC.cheaper; not as goodD. more cheap; not as good参考答案:C9. It was so dark in the cinema that I could hardly my friend.A. turn outB. bring outC. call outD. pick out参考答案:D10. David apologized to me yesterday. _________, I won't forgive him for it was not the first time that he had hurt me.A. If soB. If everC. Even soD. Even though参考答案:C11. 【2018·江苏】I was sent to the village last month to see how the development plan _______ in the past two years.A. had been carried outB. would be carried outC. is being carried outD. has been carried out参考答案:A考查时态。
湖北省武汉外国语学校2013-2014学年高二下学期期中考试 历史试题 Word版含答案
武汉外国语学校2013—2014学年度下学期期中考试高二历史试卷考试时间:2014年4月24日下午4:00—5:30 命题人:胡志刚满分:100分第Ⅰ卷(选择题,共48分)本卷共24小题,每小题2分,共48分。
在每小题列出的四个选项中,只有一项是符合题目要求的。
1.“人为”两字合起来,就是一个“伪”字。
与材料观点相符的学派是A.墨家B.道家C.儒家D.法家2.有学者评论战国时期某学派说:“他们都是些重实践的政治家……他们认为贵族的存在已不合时宜……他们把商人和学者看作是可有可无或多余的人。
”这一学派是A.儒家B.道家C.墨家D.法家3.西方汉学家论述中国古代某历史人物时,说他为“儒家的第一个神学家”,下列各项符合这位历史人物思想的是A.未能事人,焉能事鬼B.生于忧患,死于安乐C.以人随君,以君随天D.人心至灵,此理至明4.明末清初许多进步的思想家和广大知识分子力倡务实之风,主张改革,重实证、实测,讲“经世致用”,这种现象A.是专制政治暂时弱化的结果B.是资本主义萌芽的结果C.是知识分子反思晚明理学空谈心性之弊端的结果D.是西学东渐的结果5.以“异端之尤”名世的李贽,是晚明杰出的思想家,也是重要的文学评论家。
他认为,“天下之至文,未有不出于童心焉者也”。
他明确指出:“夫童心者,真心也。
若以童心为不可,是以真心为不可也。
”从李贽“童心说”的观点出发,下列各项不被李贽承认为“古今至文”的是A.传奇、杂剧B.《西厢记》 C.经、史、子、集D.《水浒传》6.法国史学家丹纳在其《艺术哲学》中说:“艺术家创造的才能是与民族的活跃的精力为比例的。
”下列诗句不能反映上述言论的是A.“天生我才必有用,千金散尽还复来”B.“海内存知己,天涯若比邻”C.“万马争歌杨柳青,千场对舞绣麒麟”D.“渔阳鼙鼓动地来,惊破霓裳羽衣曲7.当代学者金开诚先生认为:“通过书法艺术,可以看到传统文化的种种精神和实质。
”魏晋南北朝时期书法作品有“肥瘦相合,骨力相称”、“自然”、“意境”、“风骨”等特点,这主要反映出A.儒释道三教互相影响的趋势B.动荡时期文人们追求精神寄托C.书法成为修身养性的工具D.魏晋人士追求独立自由的人格8.1898年,张之洞在《劝学篇》中说:“大率近日风气,其赞美西学者,自视中国朝政民风无一是处,殆不足比于人数,自视其高、曾、祖、父亦无不可鄙贱者,甚且归咎于数千年以前历代帝王无一善政,历代将相、师儒无一人才。
湖北省武汉外国语学校2024-2025学年高一上学期期中考试历史试题
武汉外国语学校2024—2024学年度上学期期中考试高一历史试题考试时间:2014年11月20日下午4:40—6:10命题人:胡志刚满分:100分第Ⅰ卷(选择题,共60分)本卷共30小题,每小题2分,共60分。
在每小题列出的四个选项中,只有一项是符合题目要求的。
1.《荀子·儒效》记载:“(周公)兼制天下,立七十一国,姬姓独居五十三人。
”材料所述现象,对后世影响最深远的是A.稳定了西周的政治秩序B.形成了家国一体的观念C.有利于中心集权的建立D.导致了诸侯争霸的局面2.商朝灭亡后,“小邦”周还没有力气对商朝故地实行有效的限制。
为此,武王的做法是A.“封商纣子禄父殷之馀民” B.“武王征九牧之君”C.“乃褒封神农氏之后于焦” D.“于是封功臣谋士”3.《史记》记载,刘邦称帝之后以旧礼尊其父,有人劝告刘父:“今高祖虽子,人主也,太公虽父,人臣也。
奈何令人主拜人臣!如此,则威重不行。
”此后其父以尊礼待刘邦。
从文中可以看出A.宗法关系要听从君权B.刘邦违反了纲常伦理C.汉初宗法制趋于崩溃D.君臣关系等级森严4.柳宗元认为,秦末农夫起义“咎在人怨,非郡邑之制失也”;西汉七国之乱“有叛国而无叛郡”,“秦制之得亦明矣”。
下列哪种说法最符合材料原意A.郡县制与秦末农夫斗争没有关系B.七国之乱因汉初分封而爆发C.郡县制有利于中心集权D.郡县制取代分封制是历史的必定5.历史课上,探讨中国古代的管制演化,同学们征引史料,各抒己见。
甲说:方镇太重,君弱臣强……惟稍夺其权,制其钱谷,收其精兵。
乙说:天下之兵,本于枢密,有发兵之权而无握兵之重。
丙说:置中书省以治内,分行省以治外,……而天下事方如指掌矣。
丁说:……青海军兴,始设军机房,领以亲王大臣。
其中涉及宋代文官体制的史料是A.甲说、丙说B.甲说、乙说C.甲说、丁说D.乙说、丙说6.元朝时右丞相铁木迭儿掌管宣政院,他的儿子也为宣政院使。
《元史·奸臣传》记载了时人的指责,称其“无功于国,尽居贵显”。
湖北省武汉外国语学校高二英语上学期期中试题
高二英语试题第一部分:听力(共两节,满分30分)做题时,先将答案划在试卷上。
录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5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。
1.How did the man come back home?A. By air.B. By train.C. By car.2.What does the woman imply about the man?A. He should work harder.B. He can pass the exam.C. He will fail the exam.3.What does the man suggest doing?A. Taking a walk.B. Finishing the report.C. Going to the library.4.When should the woman hand in the paper?A. Before WednesdayB. On WednesdayC. On Nov.1st5.What are the two speakers mainly talking about?A. Age.B. Friends.C. Clothes.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。
每段对话或独白后有几个小题,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。
听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料,回答第6、7题。
6.How is the weather in Washington?A. It’s very cold in winter.B. It snows a lot in winter.C. It doesn’t rain in summer7.Where is the man from?A. China.B. The south.C. Washington.听第7段材料,回答第8、9题。
湖北省武汉外国语学校
湖北省武汉外国语学校作者:吴芳勇来源:《课堂内外·创新作文高中版》2017年第03期试题展示阅读下面的材料,根据要求写一篇不少于 800字的文章。
(60分)2016年末,罗一笑这个名字触动着国人的神经。
一篇《罗一笑,你给我站住》的文章在微信朋友圈刷屏,大家为深圳未满6岁的白血病女孩罗一笑的命运深深担忧,纷纷在网上解囊捐助。
而后剧情发生了逆转,知情人爆料此事有营销公司在做推手,罗一笑的父亲罗尔也夸大了所花医疗费用的数额及其家庭贫困状况。
于是网友感到善意被欺骗,群起声讨营销公司及罗尔,同时对于方兴未艾的互联网慈善也产生了怀疑。
与此同时,网友对于罗尔的攻击也呈现出了非理性的特征,不过也有不少网友呼吁要理性看待,相信爱心与慈善。
遗憾的是,无辜的罗一笑还是走了,这一事件留给这个复杂的成人世界无尽的思考。
以上材料引发了你怎样的思考?请综合材料内容及含义作文。
要求选好角度,自定立意,自拟题目,明确文体;不得套作,不得抄袭。
写作导引罗一笑事件是2016年末的热点时事,也可以说是整个2016年的标志性事件。
整个事件真相扑朔迷离,网友参与热情极高,其中蕴含的道德评价与社会公序问题意义重大,值得我们去理性讨论、深刻剖析。
本题是一道典型的新材料作文题,材料内容丰富,角度多样。
对此材料审题立意时,要注意切分材料语段,找出多样角度。
整个材料共六句话,除去首尾都可以拟出写作角度。
第二句说的是“大家乐意献出爱心”。
第三句说的是善意被欺骗,相应的立意角度可以是“善需要真”。
第四句说的是大家声讨罗尔,立意有“伸张正义,讨伐罪恶”。
第五句有两层含义,相应的可以有两个立意:一、防止网络暴力,不能以善之名施暴;二、相信爱,相信善。
第六句话其实是给大家一个提示,人性是复杂的,对于材料的理解可以是多样的,同学们只要言之有理,皆可畅所欲言。
这里还要注意,材料一般有一个核心概念或问题。
这个材料的核心概念是“善”,核心问题是“善意被欺骗”。
湖北省武汉外国语学校2021-2022学年七年级上学期期末考试英语试题
湖北省武汉外国语学校2021-2022学年七年级上学期期末考试英语试题学校:___________姓名:___________班级:___________考号:___________一、单项选择1.—Shall we try some homemade ice-cream for dessert?—________.A.It doesn’t matter B.Let me pay for it C.That’s fine with me D.You are welcome2.— I think students can have mobile phones to help with their studies.— _______.They often use them to play games.A.I think so B.I don’t agree C.No problem D.That’s a good idea3.Leaves ________ yellow in autumn. And many people come here to enjoy the beautiful view.A.will turn B.are turning C.are going to turn D.turn 4.—Hundreds of ________ fans were unable to get tickets for the game.—That’s true. Somebody should be responsible ________ it.A.disappointed; to B.disappointed; for C.disappointing; to D.disappointing; for5.—The East Lake is not far from the Yellow Crane Tower, so you can easily visit ________ in a day.—Fantastic! I can’t wait. Thank you so much.A.none B.both C.all D.either6.I have got ________ MP3 player, but I haven’t got ________ MP3 player with me now. A.a; the B.an; the C./; the D.an; / 7.—We’re having a party tomorrow. Would you like to ________ us?—Yes, I’d love to.A.join B.join in C.take part in D.enter 8.—How much are the tickets?—They ________ ten pounds each.A.pay B.spend C.take D.cost9.The grocery shop ________ customers five cents for each shopping bag reused. A.presents B.orders C.serves D.offers 10.—Could I drive a car to school, Mr. Wang?—No, you ________. Students under the age of 16 aren’t allowed (允许) to drive a car. A.can’t B.needn’t C.couldn’t D.shouldn’t 11.I guess I should do some exercise. You can’t imagine how out of ________ I am now! A.order B.shape C.size D.style12.If you do that again you will be punished (惩罚). Do I make myself ________? A.ordinary B.casual C.plain D.smart13.I am ________ spicy foods, but they don’t agree with me.A.bad for B.used to C.keen on D.similar to 14.—Don’t worry. We’ll ________ going on holiday until you are better.—Thank you.A.put off B.put on C.put out D.put away 15.—Can we go to the British Museum tomorrow?—Sure. Let’s ________ the opening times on the Internet.A.look at B.look for C.look out D.look up二、完形填空Art comes in all sizes and shapes. It might be pretty, or it might be unusual. If youa shape in the sand.A place where people display (展览) art so that other people can see it is called an art museum. Some museums take care of art that is very ____17____. It helps us learn about the people who made it long, long ago.Some museums display new art. New art helps us see the world in ____18____ ways. It might make us ask questions, or it might make us laugh.Most big ____19____ have art museums. Some are big and ____20____. Others are small and not well known. All of them take good care of their art, though, so that people can see it and learn about it.16.A.look like B.ask for C.look after D.look for 17.A.old B.beautiful C.expensive D.nice18.A.colorful B.difficult C.different D.same 19.A.countries B.farms C.cities D.streets 20.A.famous B.cheap C.modern D.tallThere is an unusual student in Class One of Kapkendulywa Primary School in Kenya. Kimani Maruge is Class One’s star pupil. But he is a bit different from his ____21____. Kimani Maruge is 85 years old. But every morning he ____22____ the school and sits down in the classroom.“I can’t read or write, and now this is my chance to ____23____,” Kimani says. “For the first time there is free education (教育) in Kenya. It is very important to me. A person is never too ____24____ to learn.”Kimani has to do the same as all the other students in the class. He has to sit at the same desk and ____25____ the same uniform—a white shirt, blue shorts and a blue jumper. He is a very good student. He works very hard in class. Kimani’s teacher, Ezric Muniu, says, “Kimani is so clever. Now he ____26____ the newspapers.”Joseph and Charles are Kimani’s classmates. They are both eight years old. Joseph says, “Now he is our ____27____ . He teaches us songs and ____28____ us stories about the old times”. Charles agrees. “My ____29____ live very far from here, so it is good that we can have Guga. Kimani’s nickname in class is Guga. It means “grandad”.Education in Kenya is now free and for everyone. But there aren’t enough ____30____. In Kapkendulywa Primary School there are now 890 students—that’s 100 pupils in each class! “But we are happy that so many children have a chance to learn,” says Mrs Obinchu, the head teacher of the primary school.21.A.friends B.classmates C.parents D.grandchildren 22.A.reaches in B.leaves C.gets D.arrives at 23.A.teach B.work C.research D.learn 24.A.young B.old C.clever D.silly 25.A.wear B.put on C.dress D.have 26.A.looks B.listens C.reads D.writes 27.A.classmate B.friend C.teacher D.student 28.A.speaks B.says C.talks D.tells 29.A.grandparents B.parents C.friends D.teachers30.A.chances B.students C.schools D.textbooks三、阅读单选It’s the week before school starts. Alice is shopping for clothes with two friends, Nina and Vicki. Alice puts on a black jacket, turns to her friends, and says, “Hey, what do you think?”The girls look at her and both start laughing. “No way, Alice!”Nina laughs. “That’s a man’s jacket.”Alice feels a little angry. “Yeah, well. I like it.”“Yeah,” says Vicki, “but what will people at school say?”Alice thinks for a moment. Then she takes off the jacket. “Yeah, you’re right.”We all know about it. Your friends wear certain clothes or listen to certain music. You don’t want to be different. So you do those things too.Fifteen minutes later, Alice is still thinking about the black jacket. “Yeah, there’s peer pressure to follow others.” She explains. “If your clothes or hair are different, people make fun of you. You know, they laugh and point.”Vicki agrees, “It’s true. You even have a certain kind of boyfriend or girlfriend! I think these ‘rules’ are childish (幼稚的). But when you’re different, you feel like an outsider. And that’s hard.”Alice walks away.“Hey Alice,” calls Nina. “Where are you going?”“To get the black jacket. I don’t care what others think. I like it, and I’m buying it.”31.Who likes the black jacket?A.Nina and Vicki.B.Alice.C.Alice and Nina.D.All of them. 32.Why does Alice take off the jacket?A.It’s too expensive.B.She doesn’t take enough money with her. C.She doesn’t like the color.D.She’s worried about her friends’ opinions.33.What does the underlined phrase “peer pressure” mean in this passage?A.You want to be like your friends, so you do what they do.B.You want to be different from your friends and classmates.C.You want to give your clothes to your friends to wear.D.You want to buy as many clothes as your classmates do.34.What happens in the end?A.Alice doesn’t buy the jacket.B.Alice gets angry and goes home alone. C.Alice goes to buy the jacket.D.Alice doesn’t go shopping with her friends.35.What is the main idea of this passage?A.Young people should follow others.B.Girls have different ideas about the jacket.C.Girls like wearing different kinds of clothes.D.Young people care much about what others think.You may not have heard of “freshman fifteen” before, but they are very important for students who are entering university. A freshman is a first-year college students who are going into university (大学). A freshman is a first-year college student. “Fifteen” means fifteen pounds—the fifteen pounds added (增加) to a student’s weight in his or her first year. There are a number of reasons why first-year university students gain (增加) weight; but it’s hopeful to know that freshmen don’t have to add these harmful fifteen pounds.University kitchens serve many kinds of food. Some students choose unhealthy food, because now their parents are not nearby to help them choose. Some students visit the kitchen many times while studying. Late at night, some students get harmful fast food such as French fries and fried chicken with soda to drink. Students also have less time for walking, running, and doing sports because of their schoolwork.If you’re careful, you don’t have to add fifteen pounds. Here are some ideas:Think more about what you eat.Don’t eat desserts full of sugar; have fruit after dinner.Try not to eat so much junk food while you study.It’s all right to have a little fast food sometimes—but not often.Walk, run, do sports—move and you will feel better!Remember that the “freshman fifteen” can happen to anyone. Talk to your friends about it. Together, try to eat healthy food and not to eat junk food. Walking, running, and playing sports is always more fun with friends. Help each other and you can have a healthy and happyfreshman year.36.The “freshman fifteen” is ________.A.weight that high school students getB.fifteen pounds of food that first-year students eatC.weight that first-year university students can gainD.fifteen students who eat junk food37.Students make mistakes choosing food. Which of these mistakes is mentioned in the reading?A.Choosing healthy food.B.Visiting the kitchen while studying. C.Doing a lot of sports.D.Getting fast food at night. 38.Which of these ideas would the writer probably agree with?A.You should never eat junk food.B.Not eating unhealthy foods is easier with friends’ help.C.Gaining fifteen pounds can help you study better.D.Some students can eat anything they want.39.The main idea of this reading is to ________.A.get students ready to gain fifteen poundsB.sell healthy food to new studentsC.help new university students not to gain fifteen poundsD.show the mistakes students make in choosing food40.The best title for the passage can be ________.A.The “Freshman Fifteen”B.Mistakes choosing foodC.Eating right D.Talk to your friendPeople use sayings every day. You may ask an unhappy friend why she’s “feeling blue.” If you’ve done only a small part of a big job, you might call it “a drop in the bucket.”These sayings don’t mean exactly what the words say. But it’s easy to tell why we use them. Blue is a cool, quiet color. So it’s a good word for “sad”. A bucket holds too many water drops to count. So just one drop is very little.Other sayings are more difficult to understand. When you are about to go to bed, you are going to “hit the hay (干草).” This saying does not make much sense unless you know where it came from. It was first used in the 1930s. At that time, many Americans were out of work.Some went from place to place, looking for jobs. At night they were very tired. They often made a bed of hay in a field or barn (谷仓). As soon as their heads “hit the hay,” they fell asleep.Here is another saying. When you are sick, you might say you are “under the weather.” But why? This saying is more than 200 years old. It began in the days when many people went from place to place by boat. When the storm winds rocked (使摇摆) the boat, people often felt sick, The boat was sailing “under the weather.”Old sayings like these can be hard for kids to understand. But new sayings come along every day. Kids often understand new sayings better than older people do. That’s why your grandmother might not know what you mean when you say “chill out” or “give me five”. She might think you’re “off your rocker”.41.In which part of the magazine can we read this passage?A.Sports.B.Culture.C.People.D.Science. 42.Which saying is more than 200 years old?A.“hit the hay”B.“a drop in the bucket”C.“give me five”D.“under the weather”43.What does the phrase “off your rocker” probably mean?A.You are clever.B.You are my friends.C.You are crazy.D.I don’t believe you.44.According to the passage, it is clear that ________.A.“feeling blue” means a person is sickB.old people don’t know any new sayingsC.people prefer old sayings to new sayingsD.kids can learn new sayings more easily than old people45.What is the best title for this passage?A.Old sayings B.Feeling blue C.A cool, quiet color D.People around us四、多句选词填空Fill in the blanks with the words in the table. There are two words that you do not need.46.Would you please pass me those cups ________ with yellow flowers?47.What’s on the ________ for dinner today?48.I’ve only got about £10 in my ________.49.Do you know how to ________ a business for free on the Internet?50.There are a few shops selling ________ designer clothing.五、预习导学Fill in the blanks according to the 3L text.51.Look at them! They’re both fast ________.52.My mother wants a tube of toothpaste and a small bar of ________, please. 53.There’s some ice-cream in the ________ Sandy.54.There isn’t much ________ in the tin now!55.What’s ________ now? Now the man’s throwing the stick into the water.56.Let’s take the tyre off the ________.57.________ these letters for me please, Sue.58.There’s a bird’s nest in our ________.59.Look, Tom! Billy’s ________ are full of sweets!60.Sandy and Sue usually go to bed early at night, but ________ they are playing a game.六、用所给单词的正确形式填空61.It is dangerous to play with ________ (knife).62.France has many national art ________ (collect).63.Remember ________ (call) me when you arrive!64.Although we have a few ________ (agree), we are still good friends.65.—Shall we go on Friday or Saturday?—It makes no ________ (differ) to me.66.A good gardener knows how to keep things growing ________ (health) .67.It ________ (rain), but we have to go out.68.My mother is so busy. She cooks and ________ (wash) every day. 69.Do you fancy ________ (eat) out this evening?70.The food is good in this restaurant but the ________ (serve) is very slow.七、改写句子71.He offers to help her. (interrogative)_______________________________?72.I’d like a cup of coffee. (interrogative)_______________________________73.There is some water on the floor. (negative)_______________________________74.She’s used to living in Paris. (negative)_______________________________.八、划线部分提问75.There is a little milk in the bottle. (ask a question)_______________________________?76.They often play basketball on Sundays. (ask a question)_______________________________77.Billy is looking out of the window. (ask a question)_______________________________?九、同义句转化78.What is the weather like today? (say it in another way)________ ________ ________ ________ today?79.They decided to offer John the job. (say it in another way)They decided to offer ________ ________ ________ ________.80.Why not throw a party for your friends? (say it in another way)________ ________ ________ throw a party for your friends?十、短文首字母填空Fill in the blanks with the help of the first letters.These days, more and more children are overweight. Why is this h___81___? Doctors, teachers, and parents t____82____ that children are not getting the right amount (数量) of exercise and are not eating the right kinds of food.In the past, children u____83____ to be more active. In the early days, there was a lot of work to be done. Children helped on the farms and in the factories. Children didn’t have much t____84____ to sit around. Today children go to school and come home to watcht____85____ or play video games. Too many of their activities include (包括) sitting and not being active enough. Children are not getting enough exercise, such as running, walking, or r____86____ a bike.Another r____87____ for children being overweight is the types of food they eat. More and more families are eating at r____88____ or fixing quick foods that are fattening. These types of food begin to add up day after day. Children are eating too many of thew____89____ foods and not enough of the right foods.Some of the foods that children should be eating include fruits and v____90____ , dairy, grains and cereals, and meat. These types of foods can help children keep their weight and help the body fight disease (与疾病抗争).十一、书信作文91.假如你是Sandy,来自英国,现在在中国学习。
湖北省武汉外国语学校2013-2014学年高二下学期期中考试 语文试题 Word版含答案
武汉外国语学校2013—2014学年度下学期期中考试高二语文试题考试时间:2014年4月23日上午9:00-11:30命题人:邓文辉满分:150分一、语文基础知识(共15分,共5小题,每小题3分)1.下列词语中加点字的读音,全都正确..的一组是A.熟稔.(rěn)央浼.(měi)付梓.(zǐ)怏怏.不乐(yāng)B.糍.粑(chí)逋.慢(bū)岑.寂(chén)不落言筌.(quán)C.窸窣.(sū)诨.名(hún)蕴藉.(jiè)逸兴遄.飞(chuán)D.优渥.(wò)氽.水(tǔn) 簪笏.(hù)门衰祚.薄(zuò)2.下列各组词语中,没有..错别字的一组是A.疏朗洗炼玩索轻鸢剪掠B.怂恿寒砧赉发穷边涯际C.蓬蒿尺牍殒首套语滥调D.箭镞啰嗦希冀淄铢必较3.依次填入下列各句横线处的词语,最恰当...的一组是()“木叶”之与“树叶”,是一字之差,“木”与“树”在概念上原是的,然而到了艺术形象的领域,这里的差别就几乎是。
A.虽然旗鼓相当判若鸿沟B.不过相去无几一字千里C.虽然相去无几判若鸿沟D.不过旗鼓相当一字千里4.下列各句中没有语病....的一句是:A.2001年2月19日,袁隆平被授予2000年度中国国家最高科学技术奖。
这位杂交水稻专家的研究成果,不仅使中国率先在世界上实现“超级稻”目标,而且对解决中国乃至全世界的粮食问题也具有重大意义。
B.即便车子是在保修期内,但是很多车主在碰到问题之后,还是不敢轻易把车开到4S店进行维修。
究其原因,是有小毛病也要大维修、乱开“处方单”等原因。
C.从致力于满足市民“最后一公里”的出行需求方面看,应该说“公共自行车”项目是一项深得民心的惠民工程。
但由于这项本应充满浓厚公益色彩的民生工程,却由于政府与市场关系的紊乱,而导致“瘫痪”:站点疏于管理、租车系统无法使用、自行车也是“缺胳膊少腿”。
湖北省武汉外国语学校2016-2017学年高一上学期期末数学试卷 Word版含解析
2015-2016学年湖北省武汉外国语学校高一(上)期末数学试卷一、选择题(共12小题,每小题5分,满分60分)1.已知集合M={x|x>x2},N={y|y=,x∈M},则M∩N=()A.{x|0<x<}B.{x|<x<1}C.{x|0<x<1}D.{x|1<x<2}2.要得到y=cos2x的图象,只需要将函数y=sin(2x﹣)的图象()A.向右平移个单位B.向右平移个单位C.向左平移个单位D.向左平移个单位3.在下列向量组中,可以把向量=(3,2)表示出来的是()A.=(0,0),=(1,2)B.=(﹣1,2),=(5,﹣2)C.=(3,5),=(6,10)D.=(2,﹣3),=(﹣2,3)4.已知α∈(0,),β∈(﹣,0),cos()=,cos()=,则cos()=()A.B.﹣C.D.﹣5.根据统计,一名工人组装第x件某产品所用的时间(单位:分钟)为(A,C为常数).已知工人组装第4件产品用时30分钟,组装第A件产品用时15分钟,那么c和A的值分别是()A.75,25 B.75,16 C.60,25 D.60,166.函数f(x)=落在区间(﹣3,5)的所有零点之和为()A.2 B.3 C.4 D.57.函数y=的单调增区间是()A.[k,k],k∈Z B.[k,k],k∈ZC.[k,k],k∈Z D.[k,k],k∈Z8.如图,A、B分别是射线OM、ON上的点,给出下列以O为起点的向量:①;②;③;④ +;⑤.其中终点落在阴影区域内的向量的序号有()A.①②④B.①③C.②③⑤D.①③⑤9.定义在区间(0,)上的函数y=6cosx与y=5tanx的图象交点为P,过点P 作x轴的垂线,垂足为P1,直线PP1与y=sinx的图象交于点P2,则线段P1P2的长度为()A.B.C.D.10.函数f(x)=Asin(ωx+φ)的部分图象如图所示,则函数的解析式可以是()A.f(x)=2cos(3x+)B.f(x)=2sin()C.f(x)=2sin(3x﹣)D.f(x)=2sin(3x﹣)或f(x)=2sin()11.关于x的方程asinx+bcosx+c=0在[0,π]上有两个相异实根α,β,则sin(α+β)=()A.B.﹣C.D.﹣12.函数f(x)=sin2x+2cos2x﹣,g(x)=mcos(2x﹣)﹣2m+3(m>0),若对任意x1∈[0,],存在x2∈[0,],使得g(x1)=f(x2)成立,则实数m的取值范围是()A.(1,)B.(,1]C.[,1]D.[1,]二、填空题13.扇形AOB周长为8,圆心角为2弧度,则其面积为.14.已知log23=t,则log4854=(用t表示)15.已知函数y=sin()(ω>0)是区间[,π]上的增函数,则ω的取值范围是.16.设f(x)是定义在R上的奇函数,且当x≥0时,f(x)=x2,若对任意的x ∈[t,t+2],不等式f(x+t)≥2f(x)恒成立,则实数t的取值范围是.三、解答题(共6题,共70分)17.(10分)已知向量=(sinα,),=(cosα,﹣1),且∥(1)若α为第二象限角,求的值;(2)求cos2α﹣sin2α的值.18.(10分)如图,M、N、P分别是三角形ABC三边BC、CA、AB上的点,且满足,设=,=.(1)用,表示;(2)若点G是三角形MNP的重心,用,表示.19.(12分)已知定义在R上的函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|≤)的最小值为﹣2,其相邻两条对称轴距离为,函数图象向左平移单位后所得图象对应的函数为偶函数.(1)求函数f(x)的解析式;(2)若f()=﹣,且x0∈[],求cos(x0+)的值.20.(12分)已知定义在R上的函数f(x)=2cosωxsin()﹣(ω>0)的周期为π.(1)求ω的值及f(x)的单调增区间;(2)记g(x)=f(x)+sin(x﹣),求g(x)的值域.21.(13分)如图,某园林单位准备绿化一块直径为BC的半圆形空地,△ABC 外的地方种草,△ABC的内接正方形PQRS为一水池,其余的地方种花.若BC=a,∠ABC=θ,设△ABC的面积为S1,正方形PQRS的面积为S2.(1)用a,θ表示S1和S2;(2)当a为定值,θ变化时,求的最小值,及此时的θ值.22.(13分)已知函数y=x+有如下性质:当a>0时,函数在(0,]单调递减,在[,+∞)单调递增.定义在(0,+∞)上的函数f(x)=|t(x+)﹣5|,其中t>0.(1)若函数f(x)分别在区间(0,2)和(2,+∞)上单调,求t的取值范围(2)当t=1时,若方程f(x)﹣k=0有四个不相等的实数根x1,x2,x3,x4,求x1+x2+x3+x4的取值范围(3)当t=1时,是否存在实数a,b且0<a<b≤2,使得f(x)在区间[a,b]上的取值范围是[ma,mb],若存在,求出实数m的取值范围;若不存在,请说明理由.2015-2016学年湖北省武汉外国语学校高一(上)期末数学试卷参考答案与试题解析一、选择题(共12小题,每小题5分,满分60分)1.已知集合M={x|x>x2},N={y|y=,x∈M},则M∩N=()A.{x|0<x<}B.{x|<x<1}C.{x|0<x<1}D.{x|1<x<2}【考点】一元二次不等式的解法;交集及其运算;指数函数的定义、解析式、定义域和值域.【分析】利用一元二次不等式的解法和指数函数的性质可化简集合M,N.再利用交集的运算即可得出.【解答】解:对于集合:M:由x>x2,解得0<x<1,∴M={x|0<x<1}.∵0<x<1,∴1<4x<4∴..∴N={y|}.∴M∩N={x|}.故选B.【点评】熟练掌握一元二次不等式的解法和指数函数的性质、交集的运算等是解题的关键.2.要得到y=cos2x的图象,只需要将函数y=sin(2x﹣)的图象()A.向右平移个单位B.向右平移个单位C.向左平移个单位D.向左平移个单位【考点】函数y=Asin(ωx+φ)的图象变换.【分析】先根据诱导公式将函数y=cos2x化为正弦形式的.然后假设平移φ个单位得到,根据sin[2(x+φ)﹣]=sin(2x+)解出φ即可.【解答】解:∵y=cos2x=sin(2x+)假设只需将函数y=sin(2x﹣)的图象平移φ个单位得到,则:sin[2(x+φ)﹣]=sin(2x+),∴2(x+φ)﹣=2x+,φ=,故应向左平移个单位.故选:D.【点评】本题主要考查三角函数的诱导公式和平移变换.三角函数的平移变换第一步先将函数化为同名函数,然后根据左加右减上加下减的原则平移.3.在下列向量组中,可以把向量=(3,2)表示出来的是()A.=(0,0),=(1,2)B.=(﹣1,2),=(5,﹣2)C.=(3,5),=(6,10)D.=(2,﹣3),=(﹣2,3)【考点】平面向量的基本定理及其意义.【分析】根据向量的坐标运算,,计算判别即可.【解答】解:根据,选项A:(3,2)=λ(0,0)+μ(1,2),则3=μ,2=2μ,无解,故选项A不能;选项B:(3,2)=λ(﹣1,2)+μ(5,﹣2),则3=﹣λ+5μ,2=2λ﹣2μ,解得,λ=2,μ=1,故选项B能.选项C:(3,2)=λ(3,5)+μ(6,10),则3=3λ+6μ,2=5λ+10μ,无解,故选项C不能.选项D:(3,2)=λ(2,﹣3)+μ(﹣2,3),则3=2λ﹣2μ,2=﹣3λ+3μ,无解,故选项D不能.故选:B.【点评】本题主要考查了向量的坐标运算,根据列出方程解方程是关键,属于基础题.4.已知α∈(0,),β∈(﹣,0),cos()=,cos()=,则cos()=()A.B.﹣C.D.﹣【考点】两角和与差的余弦函数.【分析】利用同角三角函数的基本关系求得sin()和sin()的值,再利用两角差的正切公式的应用,求得要求式子的值.【解答】解:∵α∈(0,),β∈(﹣,0),cos()=,cos()=,∴sin()==,sin()=﹣=﹣,∴cos()=cos[()+(﹣)]=cos()•cos()﹣sin()•sin()=﹣•(﹣)=,故选:A.【点评】本题主要考查同角三角函数的基本关系,两角差的余弦公式的应用,属于基础题.5.根据统计,一名工人组装第x件某产品所用的时间(单位:分钟)为(A,C为常数).已知工人组装第4件产品用时30分钟,组装第A件产品用时15分钟,那么c和A的值分别是()A.75,25 B.75,16 C.60,25 D.60,16【考点】函数解析式的求解及常用方法.【分析】首先,x=A的函数值可由表达式直接得出,再根据x=4与x=A的函数值不相等,说明求f(4)要用x<A对应的表达式,将方程组联解,可以求出C、A 的值.【解答】解:由题意可得:f(A)==15,所以c=15而f(4)==30,可得出=30故=4,可得A=16从而c=15=60故答案为D【点评】分段函数是函数的一种常见类型,解决的关键是寻找不同自变量所对应的范围,在相应区间内运用表达式加以解决.6.函数f(x)=落在区间(﹣3,5)的所有零点之和为()A.2 B.3 C.4 D.5【考点】函数零点的判定定理.【分析】由题意别作出函数y=与y=的图象,由图得交点的个数和函数图象的对称性,并利用对称性求出函数f(x)的所有零点之和.【解答】解:由f(x)==0得,,分别作出函数y=与y=的图象如图:则函数y=与y=的图象关于(1,0)点成中心对称,由图象可知两个函数在区间(﹣3,5)上共有4个交点,它们关于(1,0)点成中心对称,不妨设关于点(1,0)对称的两个点A、B的横坐标是a、b,则=1,即a+b=2,所以所有交点横坐标之和为2(a+b)=4,即所有零点之和为4,故选:C.【点评】本题考查了函数的零点与函数图象交点的转化,掌握数形结合的思想方法和函数的对称性是解题的关键.7.函数y=的单调增区间是( )A .[k ,k ],k ∈ZB .[k ,k],k ∈ZC .[k,k],k ∈ZD .[k,k],k ∈Z【考点】正弦函数的图象.【分析】先求出函数y 的定义域,再求函数y 的单调递增区间是什么.【解答】解:∵函数y=,∴sin (﹣2x )≥0,即sin (2x ﹣)≤0,解得﹣π+2kπ≤2x ﹣≤2kπ,k ∈Z ,即﹣+2kπ≤2x ≤+2kπ,k ∈Z ,∴﹣+kπ≤x ≤+kπ,k ∈Z ,即y 的定义域是[﹣+kπ, +kπ],k ∈Z ;又令+2kπ≤2x ﹣≤+2kπ,k ∈Z ,即+2kπ≤2x ≤+2kπ,k ∈Z ,解得+kπ≤x ≤+kπ,k ∈Z ,即﹣+kπ≤x ≤﹣+kπ,k ∈Z ;综上,函数y的单调递增区间是[﹣+kπ,﹣ +kπ],k∈Z.【点评】本题考查了三角函数的图象与性质的应用问题,也考查了复合函数的单调性问题,是基础题目.8.如图,A、B分别是射线OM、ON上的点,给出下列以O为起点的向量:①;②;③;④ +;⑤.其中终点落在阴影区域内的向量的序号有()A.①②④B.①③C.②③⑤D.①③⑤【考点】向量加减混合运算及其几何意义.【分析】作平面向量的线性运算,结合当x≥0,y≥0,x+y=1时,若=x+y,则点C在线段AB上;从而解得.【解答】解:由题意作平面向量的线性运算如下,又∵当x≥0,y≥0,x+y=1时,若=x+y,则点C在线段AB上;∴的向量的终点在阴影内;∵=+﹣;∴的向量的终点不在阴影内;∵=++;∴的向量的终点在阴影内;∵=﹣,∴的向量的终点不在阴影内;故选B.【点评】本题考查了平面向量的线性运算的应用及数形结合的思想方法应用.9.定义在区间(0,)上的函数y=6cosx与y=5tanx的图象交点为P,过点P 作x轴的垂线,垂足为P1,直线PP1与y=sinx的图象交于点P2,则线段P1P2的长度为()A.B.C.D.【考点】余弦函数的图象;正切函数的图象.【分析】先将求P1P2的长转化为求sinx的值,再由x满足6cosx=5tanx可求出sinx 的值,从而得到答案.【解答】解:作出对应的图象如图,则线段P1P2的长即为sinx的值,且其中的x满足6cosx=5tanx,即6cosx=,化为6sin2x+5sinx﹣6=0,解得sinx=.即线段P1P2的长为故选:A【点评】本题主要考查三角函数的图象和性质,利用数形结合是解决本题的关键.10.函数f(x)=Asin(ωx+φ)的部分图象如图所示,则函数的解析式可以是()A.f(x)=2cos(3x+)B.f(x)=2sin()C.f(x)=2sin(3x﹣)D.f(x)=2sin(3x﹣)或f(x)=2sin()【考点】由y=Asin(ωx+φ)的部分图象确定其解析式.【分析】由图形可以求出A,根据图象过(0,﹣1),(,0),把点的坐标代入求出ω,φ,从而可得函数解析式.【解答】解:由图象知A=2,点(0,﹣1),(,0)在函数图象上,∵2sinφ=﹣1,∴可得sinφ=﹣,可得:φ=2kπ+,或φ=2kπ+,k∈Z∵2sin(ω+2kπ+)=0,或2sin(ω+2kπ+)=0,∴ω+=kπ,k∈Z,或ω+=kπ,k∈Z,解得:ω=﹣3,或ω=﹣,k∈Z,∴当k=2,ω=,φ=4π+,可得函数的解析式可以是f(x)=2sin(x+4π+)=2sin().当k=3,ω=3,φ=6π+,可得函数的解析式可以是f(x)=2sin(3x﹣).故选:D.【点评】本题考查由y=Asin(ωx+φ)的部分图象确定其解析式,考查分析问题解决问题的能力,解题的关键是初相的求法要注意,属于中档题.11.关于x的方程asinx+bcosx+c=0在[0,π]上有两个相异实根α,β,则sin(α+β)=()A.B.﹣C.D.﹣【考点】两角和与差的正弦函数.【分析】将α、β代入方程后相减,然后根据和差化积公式求出tan的值,再由万能公式可得答案.【解答】解:∵方程asinx+bcosx+c=0在[0,π]内有两个相异的实根α、β,∴asinα+bcosα+c=0 ①asinβ+bcosβ+c=0 ②∴方程①﹣②得a(sinα﹣sinβ)+b(cosα﹣cosβ)=0,即a×(2sin cos)﹣b(2sin sin)=0,∴2sin(acos﹣bsin)=0,∵α≠β,∴sin≠0,∴acos﹣bsin=0,则tan=,∴sin(α+β)==.故选:C.【点评】本题主要考查和差化积公式和万能公式的应用.三角函数部分公式比较多,要强化记忆,是中档题.12.函数f(x)=sin2x+2cos2x﹣,g(x)=mcos(2x﹣)﹣2m+3(m>0),若对任意x1∈[0,],存在x2∈[0,],使得g(x1)=f(x2)成立,则实数m的取值范围是()A.(1,)B.(,1]C.[,1]D.[1,]【考点】三角函数中的恒等变换应用.【分析】分别由三角函数求各自函数的值域,由集合的包含关系解不等式组可得.【解答】解:∵f (x )=sin2x +2cos 2x ﹣=sin2x +(2cos 2x ﹣1)=sin2x +cos2x=2(sin2x +cos2x )=2sin (2x +)当x ∈[0,]时,2x +∈[,],∴f (x )min =2sin =1,∴f (x )∈[1,2],对于g (x )=mcos (2x ﹣)﹣2m +3(m >0),2x ﹣∈[﹣,],mcos (2x ﹣)∈[,m ],∴g (x )∈[﹣m +3,3﹣m ],∵对任意x 1∈[0,],存在x 2∈[0,],使得g (x 1)=f (x 2)成立,∴,解得实数m 的取值范围是[1,].故选:D .【点评】本题考查三角函数恒等变换,问题转化为求三角函数的值域并利用集合关系是解决问题的关键,属中档题.二、填空题13.扇形AOB 周长为8,圆心角为2弧度,则其面积为 4 . 【考点】扇形面积公式.【分析】直接利用扇形的面积公式进行求解即可. 【解答】解:设扇形的半径为r ,弧长为l ,则 扇形的周长为l +2r=8, ∴弧长为:αr=2r , ∴r=2,根据扇形的面积公式,得S=αr 2=4, 故答案为:4.【点评】本题重点考查了扇形的面积公式,属于基础题.14.已知log23=t,则log4854=(用t表示)【考点】换底公式的应用;对数的运算性质.【分析】利用对数的换底公式化简求解即可.【解答】解:log23=t,则log4854===.故答案为:.【点评】本题考查换底公式的应用,对数运算法则的应用,考查计算能力.15.已知函数y=sin()(ω>0)是区间[,π]上的增函数,则ω的取值范围是(0,] .【考点】正弦函数的图象.【分析】可以通过角的范围[,π],得到(ωx+)的取值范围,直接推导ω的范围即可.【解答】解:由于x∈[π,π],故(ωx+)∈[ω+,πω+],∵函数f(x)=sin(ωx+)(ω>0)在[,π]上是增函数,∴,∴0<ω≤,故答案为:(0,].【点评】本题考查三角函数的单调性的应用,函数的解析式的求法,考查计算能力.16.设f(x)是定义在R上的奇函数,且当x≥0时,f(x)=x2,若对任意的x∈[t,t+2],不等式f(x+t)≥2f(x)恒成立,则实数t的取值范围是.【考点】函数恒成立问题;函数奇偶性的性质.【分析】由当x≥0时,f(x)=x2,函数是奇函数,可得当x<0时,f(x)=﹣x2,从而f(x)在R上是单调递增函数,且满足2f(x)=f(x),再根据不等式f(x+t)≥2f(x)=f(x)在[t,t+2]恒成立,可得x+t≥x在[t,t+2]恒成立,即可得出答案.【解答】解:当x≥0时,f(x)=x2∵函数是奇函数∴当x<0时,f(x)=﹣x2∴f(x)=,∴f(x)在R上是单调递增函数,且满足2f(x)=f(x),∵不等式f(x+t)≥2f(x)=f(x)在[t,t+2]恒成立,∴x+t≥x在[t,t+2]恒成立,即:x≤(1+)t在[t,t+2]恒成立,∴t+2≤(1+)t解得:t≥,故答案为:[,+∞).【点评】本题考查了函数恒成立问题及函数的奇偶性,难度适中,关键是掌握函数的单调性与奇偶性.三、解答题(共6题,共70分)17.(10分)(2015秋•武汉校级期末)已知向量=(sinα,),=(cosα,﹣1),且∥(1)若α为第二象限角,求的值;(2)求cos2α﹣sin2α的值.【考点】三角函数的化简求值;平面向量共线(平行)的坐标表示;同角三角函数基本关系的运用.【分析】(1)通过向量的共线求出正切函数值,利用诱导公式化简已知条件然后求解即可.(2)化简表达式为正切函数的形式,然后求解即可.【解答】解:向量=(sinα,),=(cosα,﹣1),且∥,可得﹣sinα=cosα,可得tanα=﹣,(1)==cosα=﹣=﹣=﹣.(2)cos2α﹣sin2α====.【点评】本题考查诱导公式以及向量的共线,三角函数的化简求值,考查计算能力.18.(10分)(2015秋•武汉校级期末)如图,M、N、P分别是三角形ABC三边BC、CA、AB上的点,且满足,设=,=.(1)用,表示;(2)若点G是三角形MNP的重心,用,表示.【考点】向量的线性运算性质及几何意义;平面向量的基本定理及其意义.【分析】(1)根据向量加法、减法及数乘的几何意义便可由条件及图形便可用表示出;(2)先得出,然后画出图形,并连接AG,MG,根据G为三角形MNP的重心便可得到,从而根据便可用表示出.【解答】解:(1)根据条件,====;(2)=,如图,连接AG,MG;G为三角形MNP的重心,则:==;∴==.【点评】考查向量加法、减法及数乘的几何意义,向量的数乘运算,以及三角形重心的概念和性质,向量加法的平行四边形法则.19.(12分)(2015秋•武汉校级期末)已知定义在R上的函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|≤)的最小值为﹣2,其相邻两条对称轴距离为,函数图象向左平移单位后所得图象对应的函数为偶函数.(1)求函数f(x)的解析式;(2)若f()=﹣,且x0∈[],求cos(x0+)的值.【考点】函数y=Asin(ωx+φ)的图象变换.【分析】(1)由最值求得A,由周期性求得ω,再根据函数y=Asin(ωx+φ)的图象变换规律,三角函数的奇偶性,求得φ,可得函数的解析式.(2)由条件求得sin(x0+)和cos(x0+)的值,再利用两角差的余弦公式,求得cos(x0+)=cos(x0+﹣)的值.【解答】解:(1)根据函数的最小值为﹣2,可得A=2,再根据其相邻两条对称轴距离为,可得=,∴ω=2,故函数f(x)=2sin(2x+φ).结合函数图象向左平移单位后,所得图象对应的函数y=2sin[2(x+)+φ]=2sin(2x++φ)为偶函数,∴+φ=kπ+,即φ=kπ+,k∈Z.结合,|φ|≤,可得φ=,f(x)=2sin(2x+).(2)若f()=2sin(x0+)=﹣,∴sin(x0+)=﹣.∵x0∈[],∴(x0+)∈(π,],∴cos(x0+)=﹣=﹣.∴cos(x0+)=cos(x0+﹣)=cos(x0+)•cos+sin(x0+)•sin=﹣﹣.【点评】本题主要考查由函数y=Asin(ωx+φ)的部分图象求解析式,函数y=Asin (ωx+φ)的图象变换规律,三角函数的奇偶性,两角和差的余弦公式的应用,属于中档题.20.(12分)(2015秋•武汉校级期末)已知定义在R上的函数f(x)=2cosωxsin()﹣(ω>0)的周期为π.(1)求ω的值及f(x)的单调增区间;(2)记g(x)=f(x)+sin(x﹣),求g(x)的值域.【考点】三角函数中的恒等变换应用;正弦函数的图象.【分析】利用两角和差化积公式,将f(x)转换为sin(2ω+π/6)的形式,在利用T=2π/2ω,求出ω的值,求g(x)主要根据诱导公式转换为sin(x﹣π/6)的形式,在构造二次函数,求出二次函数的定义域,根据函数的对称性求出函数的最值.【解答】解:由函数==,由函数的周期T=π,∴ω=1,函数的单调递减时,,(k∈Z),∴函数的单调递减区间(2)由===设则:g(x)=1﹣2t2+t,﹣1≤t≤1由二次函数图象可知:函数在x=取最大值为,当x=﹣1时取最小值为﹣2;∴函数的取值范围为[﹣2,]【点评】本题考查了积化和差公式,求三角函数的周期,利用诱导公式转换成相同函数的不同次幂的形式,再构造二次函数,求二次函数的值域,构造二次函数时要注意,函数的定义域的取值范围.属于中档题.21.(13分)(2015秋•武汉校级期末)如图,某园林单位准备绿化一块直径为BC的半圆形空地,△ABC外的地方种草,△ABC的内接正方形PQRS为一水池,其余的地方种花.若BC=a,∠ABC=θ,设△ABC的面积为S1,正方形PQRS的面积为S2.(1)用a,θ表示S1和S2;(2)当a为定值,θ变化时,求的最小值,及此时的θ值.【考点】在实际问题中建立三角函数模型.【分析】(1)据题三角形ABC为直角三角形,利用三角函数分别求出AC和AB,得出三角形ABC的面积S1;设正方形PQRS的边长为x,利用三角函数分别表示出BQ和RC,由BQ+QR+RC=a 列出方程求出x,算出S2;(2)化简比值,设t=sin2θ来化简求出S1与S2的比值,利用三角函数的增减性求出比值的最小值以及对应此时的θ.【解答】解:(1)在Rt△ABC中,AB=acosθ,AC=asinθ,所以S1=AB•AC=a2sinθcosθ;设正方形的边长为x则BP=,AP=xcosθ,由BP+AP=AB,得+xcosθ=acosθ,解得x=;所以S2=x2=;(6分)(2)===+sin2θ+1,(8分)令t=sin2θ,因为0<θ<,所以0<2θ<π,则t=sin2θ∈(0,1],(10分)所以=+t+1;设g(t)=+t+1,则g′(t)=﹣+,t∈(0,1];所以函数g(t)在(0,1]上递减,(11分)因此当t=1时g(t)有最小值g(t)min=g(1)+×1+1=,此时sin2θ=1,解得θ=;所以当θ=时,的值最小,最小值为.【点评】本题考查了根据实际问题选择合适的函数关系的能力,以及在实际问题中建立三角函数模型的能力,是综合性题目.22.(13分)(2015秋•武汉校级期末)已知函数y=x+有如下性质:当a>0时,函数在(0,]单调递减,在[,+∞)单调递增.定义在(0,+∞)上的函数f(x)=|t(x+)﹣5|,其中t>0.(1)若函数f(x)分别在区间(0,2)和(2,+∞)上单调,求t的取值范围(2)当t=1时,若方程f(x)﹣k=0有四个不相等的实数根x1,x2,x3,x4,求x1+x2+x3+x4的取值范围(3)当t=1时,是否存在实数a,b且0<a<b≤2,使得f(x)在区间[a,b]上的取值范围是[ma,mb],若存在,求出实数m的取值范围;若不存在,请说明理由.【考点】函数单调性的判断与证明.【分析】(1)由题意得4t﹣5≥0,由此能求出t的取值范围.(2)设x1<x2<x3<x4,则x1,x4是方程(x﹣)﹣5﹣k=0的两个根,x2,x3是方程﹣(x+)+5﹣k=0的两根,由此能求出x1+x2+x3+x4的范围.(3)令f(x)=0,得x=1或x=4,推导出0<a<b<1或1<a<b≤2.由此利用分类讨论思想和构造法能求出存在满足条件的a,b,此时m的取值范围是[,).【解答】解:(1)由题意得y=t(x+)﹣5在(0,2]递减,取值范围是[4t﹣5,+∞),在[2,+∞)递增,取值范围是[4t﹣5,+∞),∴4t﹣5≥0,解得t≥,∴t的取值范围是[,+∞).(2)t=1时,方程有四个不等实数根x1,x2,x3,x4,设x1<x2<x3<x4,则x1,x4是方程(x﹣)﹣5﹣k=0的两个根,整理,得x2﹣(5+k)x+4=0,∴x1+x4=5+k,同理,x2,x3是方程﹣(x+)+5﹣k=0的两根,整理,得x2﹣(5﹣k)x+4=0,∴x3+x4=5﹣k,∴x1+x2+x3+x4=10.(3)令f(x)=0,得x=1或x=4,由a<b,ma<mb,得m>0,若1∈[a,b],则ma=0,矛盾.故0<a<b<1或1<a<b≤2.当0<a<b<1时,f(a)=mb,f(b)=ma,,消m,得a+b=5,矛盾.当1<a<b≤2时,f(a)=ma,f(b)=mb,,即a,b是方程(m+1)x2﹣5x+4=0在(1,2]上两个不等根,记g(x)=(m+1)x2﹣5x+4,则,解得,综上所述,存在满足条件的a,b,此时m的取值范围是[,).【点评】本题考查实数的取值范围的求法,是中档题,解题时要认真审题,注意分类讨论思想、构造法、函数性质的合理运用.。
