Renb必修五测试题
【高二】人教版高二英语必修5全册检测试题(带答案)3
【高二】人教版高二英语必修5全册检测试题（带答案）3时训练5Unit 3 Life in the futureSection ⅡWaring Up ≈ Reading－Language PointsⅠ.品句填词1．She felt she had looked at the proble fro every ________(方面)．2．We are told to ________(早先的) experience is necessary for this job.3．Take two of the ________(药片) three ties daily before eals.4．If you need help at any tie in the flight，one of the ________(乘务员) will be pleased to help you.5．We all wore ________(面罩) at the party and no one kneho we were.6．Nancy’s trip to Singapore ade a strong ________(印象)on her.Ⅱ.选词填空slide into； take up； catch sight of； lack for；be back on one’s feet；sweep up1．The teacher ________________ the lesson when Jenny stopped talking.2．Christine doesn’t ________________ friends in the new environent.3．I ________________ a hungry dog that was looking for food in the rubbish.4．Six onths later after bet operation, Sue ________________ again.5．Jan was ________________ the bits of paper and broken glass when we cae in.6．The naughty boy ________________ the driver’s seat and started the engine.Ⅲ.单项填空1．Thinking that her daughter was doing hoework, the other left the roo,________.A．quickly and gentle B．quick and gentleC．quickly and gently D．quick and gently2．(2021年濮阳高二检测)The old an drove the car at a ________speed, aking us very cofortable.A．high B．surprisingC．crazy D．constant3．(2021年杭州高二检测)Please explain how two or ore things aresiilar________different fro each other.A．to B．orC．in D．and4．I like getting up very early in suer.The orning air is so good ________.A．to be breathed B．to breatheC．breathing D．being breathed5．This agazine is very ________with young people，who like its content and style.A．failiar B．popularC．siilar D．particular6．The practice of hanging clothes across the street is a coon ________ in any parts of the city.A．look B．signC．sight D．appearance7．―________when has the country been open to international trade?―1978，I suppose.A．Since B．InC．Fro D．After8．After he retired fro office，Rogers ________painting for a while，but soon lost interest.A．took up B．saved upC．kept up D．drew up9．His head soon appeared out of the window，________he saw nothing but trees.A．where B．whichC．there D．fro where10．Aericans don’t like using r，rs or iss.As a result, if they don’tuse your faily nae，that doesn’t ean any ________.A．lacking respect B．lack respectC．lack of respect D．lacking respectingⅣ.阅读理解A group of European researchers fro Eindhoven University ofTechnology(TU/e)are working hard to connect robots with hoes.The robots will ake sure that hoes are nice places to stay and that patients do the right things.This recently started research project，which has been naed KSERA，focuses(关注)on COPD(慢性阻塞性肺病)patients.In 2030 this disease will be the third cause of death worldwide.The disease especially affects the elderly.In three years’ tie several deonstration(示范)houses should be finished，where a robot will play the central role.It follows patients through the house，learns their habits，watches the closely，gives sound advice，turns the air conditioning up or down a bit，and warns a doctor when the patient is not feeling well.Besides，the robot also provides fun in the for of the Internet and videos.“We want to shohat is possible in this area，”says project anager Dr.Lydia eesters.The TU/e researcher says that this new type of intelligent care house will not be a cold environent.It should be as hoely as possible.In an ideal(理想的)situation the only technology you see will be the robot.It will be the contact for all the systes in the hoes. Xkb 1Ethical issues(道德问题)will also be given special focus.The robot ust give good advice to patients，but it should not be a policean，eesters explains.What to do，for exaple，when a COPD patient lights a cigarette?The project will cost alost 4 illion euros,2.9 illion of which will be provided by the EU.Other parties are the Italian research center Institute Superiore ario Boella，Vienna University of Technology，Haburg University，the Italian ICT copany Consoft，the Central European Institute of Technology in Vienna and the Israeli care provider accabi Healthcare Services.1．KSERA is ainly for ________.A．the sick at hoeB．children at hoeC．the elderly in hospitalD．scientists in the lab2．Paragraph 3 ainly tells us that robots ________.A．can do any thingsB．are stronger than enC．are better than doctorsD．can ake the best hoe3．How any parties offered oney to KSERA?A．Five. B．Six.C．Seven. D．Eight.4．According to the passage，the robots will ________.A．be put into production very soonB．be popular with the COPD patientsC．ake a hoe feel coldD．act as a policeanⅤ.任务型读写To call land “arginal” it is not very good. Low quality soil is not the only reason why land could be considered arginal. The land ight be in an area where rainfall is liited. Or it ight be on a hillside that rises too sharply.Yet there are uses for arginal land. ost often it is used as grassland. Grasses provide excellent feed for grazing anials (草食动物) like cattle, sheep and goats. A farer ight use native grasses or nonnative seed. No atter what way he uses, it is iportant to establish good ground cover to avoid the loss of soil through erosion(侵蚀)．But using arginal land for grazing is not as siple as it ight sound. There is a risk of overgrazing. Cattle can daage crops by eating down to the roots. Also, the anials crash the soil with their weight. That can ake the ground too hard for growing. A way to reduce the daage is to ove anials fro one field to another. This ethod is known as rotational(循环的 ) grazing. Agricultural experts say rotational grazing is extreely iportant for arginal land.Another use for arginal land is for tree crops. Studies have shown that the loblolly pine ( 火炬松) and white pine are two kinds of trees that groell on such land. They grow fast and provide good quality wood. And there are slowergrowing trees like the black walnut (胡桃) that provide wood as well as a nut crop. Trees help support the soil. They reduce the daaging effects of wind and rain. And they can provide grazing anials with shade fro the sun.arginal lands need care to protect the. Failing to take that care ight only ake a bad situation worse. But good planning can turn a arginal resource into a highly productive one.Title：Faring arginal 1.______Theeake good use of arginal land2.______ why land isconsidered arginal•Low quality soil•Liited 3.______•Located on a hillside rising sharply4.______GrasslandAdvantagesDisadvantageseasures•5.______excellent feed for grazing anials•Avoiding theloss of soilthrough erosionRisk ofovergrazingRotational 6.______Tree 7．_____Planting fastgrowing treesAdvantagesPlanting slowgrowing trees•Help 8.______thesoil•Reduce the daaging effects of wind and 9.______•Provide shade foranialsConclusion10.______ planning can turn a arginal resource into a highly productive one.时训练6Section ⅢLearning about Language ≈ Using LanguageⅠ.品句填词1．The sign reads“In case of fire，break the glass and push the red________(按钮)．”2．We should throw the rubbish into the ________(垃圾箱)near the roadside.3．How can we build a house without building ________()?4．She’s Italian by birth but now is an Australian ________(公民)．5．They argue that the plan would daage the island’s ________(生态)．6．Taking tablets is easy；just put the in your outh and ________(吞下)．Ⅱ.用适当的介词填空1．“Good evening ________ all the guests fro China，”said the ho st.2．After the operation her condition was described ________ cofortable.3．Our thanks go to everybody who has worked ________this project.4．She loved her lessons, always asking questions, greedy ________ ore inforation.5．His first novel was turned ________ a ovie for television.6．Don’t stare ________ people like that；it’s rude.7．He doesn’t blae anyone ________ his father’s death.8．The waste can cause serious daage to the environent if not disposed________properly.Ⅲ.单项填空1．________soe people coe here for a short break, others have decided to stay forever.A．Because B．IfC．Once D．While2．(2021年福州高二检测)“I don’t think it is y ________ that the TV doesn’t work.I just turned it on，tha t’s all，”said the boy.A．error B．istakeC．fault D．duty3．You see the lightning ________it happens，but you hear the thunder later.A．the instant B．for an instantC．on the instant D．in an instant4．any of the party’s traditional voter s ________it at the last election.A．reserved B．desertedC．preserved D．depressed5．All the neighbors adire this faily，________the parents are treating their child like a friend.A．why B．whereC．which D．that6．________ warly for his excellent work, he was too ________to fall asleep.A．Praising；excited B．To praise；excitingC．Praised；exciting D．Praised；excited7．________around the Water Cube, we were then taken to see the Bird’s Nest for the 2021 Olypic Gaes.A．Having shown B．To be shownC．Having been shown D．To show8．I thought her nice and honest ________I et her.A．first tie B．for the first tieC．the first tie D．by the first tie9．We are hoping that these easures taken by the local governent will help ________ things a bit.A．sweep up B．speed upC．ake up D．save up10．For any affected failies, cuts to school bus service will ean a big________ in their orning and afternoon schedules.A．settleent B．otivationC．auseent D．adjustentⅣ.完形填空What will an be like in the future－in 5,000 or even 50,000 years fro now on？We can only ake __1__，of course，but we can be sure that he will be__2__fro what he is today.For an is slowly changing all the tie.Let us take an obvious __3__.an，even five hundred years ago，was shorter than he is today.Now，on average，en are about three inches __4__.Five hundred years is relatively short period of tie，so we ay assue that an will __5__to grow taller.Again，in the odern world we use our brains a great deal.__6__，we still ake use of only about 20% of the brain’s capacity.With tie going on，__7__，we shall have to use our brains ore and ore，and eventually we shall need__8__ones！This is likely to bring about a physical change too：the __9__，in particular the forehead，will grow larger. Xk b1Nowadays our eyes are in __10__use.In fact，we use the so uch that very often they becoe __11__and we have to wear glasses.__12__over very long period of tie it is likely that an’s eyes will grow stronger.On the other hand，we tend to ake less use of our ars and legs.These，__13__，are likely to groeaker.At the sae tie，however，our fingers will grow ore __14__because they are used a great deal in odern life.But what about hair？This will probably __15__fro the body altogether in course of tie because it doesn’t serve a useful purpose any longer.Perhaps all this gives the __16__that future an will not be a very attractive creature to look at！This ay well be __17__.All the sae，in spite of all these __18__，future an will still have a lot in coon withus.__19__will still be a huan being，with thoughts and eotions __20__to our own.1．A.pictures B．guessesC．explanations D．ideas2．A.equal B．saeC．obvious D．different3．A.exaple B．fantasyC．odel D．shape4．A.fatter B．thinnerC．taller D．shorter5．A.fail B．continueC．anage D．stop6．A.Even so B．If soC．After all D．In tie7．A.besides B．otherwiseC．therefore D．however8．rger B．sallerC．sillier D．cleverer9．A.eye B．noseC．head D．hand10．A.perfect B．constantC．noral D．unique11．A.stronger B．biggerC．saller D．weaker12．A.But B．SoC．Then D．Though13．A.in other words B．all in all C．as a result D．in addition14．A.effective B．optiisticC．painful D．sensitive15．A.disappear B．oveC．reove D．rise16．A.expression B．ipressionC．influence D．connection17．A.false B．perfectC．exact D．true18．A.changes B．otivationsC．approaches D．adjustents19．A.He B．TheyC．We D．It20．A.cautious B．roughC．previous D．siilarⅤ.阅读理解Ever dreaed of having a robot servant who would do all the boring housework around the house？Well echanized doestic staff have coe one step closer，thanks to an android(机器人)being developed in Japan.Researchers at Tokyo University’s JSK Robotics Laboratory have created a huanoid called Kojiro，who is learning how to copy hoe walk.What akes hi unique is that he has a skeletal(骨骼的)structure siilar to that of huans，which eans he oves in a ore natural fashion，and bends and twists by his artificial spine(脊柱)．The tea，led by Professor Nakanishi，said this newly developed spine would allow the to anufacture lighter and ore flexible robots in the future to serve in the hoe.In one scientific paper，they wrote：“Now noral huanoid robots are not suitable for working in our daily environent.”Lack of safety andversatility(多用途)is the ain reason；their hard and heavy bodies can hurt huans or surrounding objects，and they can do liited tasks copared with what huans do in daily life.Traditional robots have libs and torsos(躯干)powered by heavy otors at the joints.However in Kojiro，the otors are lightweight and used to pull cables attached to different locations on the body.This copies how our own uscles and tendons(腱)contract and relax when we ove.The skillful syste of around 100 such tendonuscle structures work together to give Kojiro 60 degrees of freedo.The huanoid is also ade ostly fro light and flexible aterials，which would ake hi less of a danger around the hoe.The researchers found the ost difficult challenge was finding a way to ake such a skillful robot walk.“The syste h as strong nonlinearity(非连续性)and is hard to odel precisely.To control such a syste，a kind of learning ethod is needed，”the tea wrote.At present the scientists are testing Kojiro’s saller oveents using a gaes console controller.The tea plan to slightly iprove the coputeralgoriths(算法)that control the robot’s oveents as they go and hope it will one day be able to handle coplex oveents using all of its libs.Then perhaps one day，you will find Kojiro serving you breakfast in bed.1．What is the text ainly about?A．The differences between the tradition robots and the huanoid.B．Introduction to a new type of huanoid.C．How to iprove the traditional robot.D．The huanoid will be on arket soon.2．What akes the huanoid unique?A．Its long libs.B．Its strong ability of copying.C．Its aterials.D．Its skeletal structure.3．What is the biggest challenge to the huanoid at present?A．How to ake it walk.B．How to ake it speak.C．How to ake it do housework.D．How to ake it sing.4．Which of the following is NOT the reason why the huanoid can’t be suitable for working in huan’s daily environent?A．Lack of safety. B．Fewer uses.C．Its overweight. D．Daaging objects.5．What can we learn fro the text?A．Scientists in Japan have solved the huanoid’s oveent.B．The huanoid is used to take care of the old.C．The huanoid can use all of its libs to handle coplex oveents. D．It’ll be a long tie before the huanoid is on arket.感谢您的阅读，祝您生活愉快。
人教版高中英语必修五全册单元考试题
Unit 1《Great scientists》单元测试1笔试部分：I. 单项选择21. — Could you take my place and go to meet Professor Smith from Britain?— _______________— He is a tall man wearing short hair.A.Why me this time?B. Are you familiar with him?C. How can I recognize him?D. What would you like to tell me?22. It was clear that Lucy was unhappy about her work. ___________, it comes as no surprise that she has decided to leave the company.A. On the other handB. As a resultC. In additionD. After all23. — What took you so long?— I got lost. I have no ___________ of direction.A. senseB. abilityC. knowledgeD. feeling24. The United Nation called on these countries to solve this problem in a(n) ____ way, adding that any negative measure would cause bad effects.A. immediateB. hostlyC. positiveD. enthusiastic25. _____ by Ren Changxia's deeds, many young girls want to be a policewoman in the future.A. To be inspiredB. Having inspiredC. Being inspiredD. Inspired26. As is well known, many deadly accidents _______ carelessness and irresponsibility.A. lead toB. result fromC. contribute toD. result in27. Only after a baby seal is pushed into the sea by its mother _____ to swim.A. how will it learnB. will it learn howC. it will learn howD. and it learns how28. — What made your skin look so terrible?— _______ to the sunlight for a long time.A. Because it was exposedB. After being exposedC. Being exposedD. Exposed29. ____ new cure for this disease that medical experts have recently developed proves to be ______ most effective, although it can not completely kill all the viruses.A. A; aB. The; /C. /; theD. A; the30. Zhanglin was lost in computer games during his last year in high school, otherwisehe _____ a student at Beijing University.A. would have beenB. can beC. has beenD. had been31. The primary purpose is to _____ those achievements in biological research _____ the public.A. make; known byB. make; known toC. make; know toD. make; knowing by32. He had to take the medicine three times a day, so as to be _____ the pain in the leg.A. far fromB. away fromC. apart fromD. free from33. Marie Curie and her husband Pierre Curie discovered radium and polonium, ____ they won the Noble Prize in Physics.A. asB. whereC. for whichD. on which34. — The water was left running all night long.— Yes. It seemed that John ___________. He was the last one to leave the lab. A. was to be blamed B. was to blameC. had been blamedD. should be blamed35. ______ you come across some new words, don't refer to your dictionary at once but guess their meanings according to the context.A. Every timeB. The first timeC. Now thatD. If onlyII 完形填空As a young man, Al was a skilled artist, who had two fine sons. One night, the elderof his sons 36 a severe stomach ache. Thinking there was nothing serious, Al 37 it. It was actually acute appendicitis (急性阑尾炎), 38 . The boy died that night.Knowing the 39 could have been prevented if he had realized the seriousnessof the situation, Al's health40 under the great burden of his guilt. 41 , his wife deserted him and theirsix-year-old younger son. 42 to handle the pain of the two situations, he became an alcoholic (酒鬼).As the alcoholism 43 , Al began to lose everything he possessed and finally died 44 . When I heard of Al's death, I reacted with the same 45 the world shows for one who ends his life with nothing 46 to show for it. “What a complete failure!” I thought.As time went by, I began to 47 my earlier judgme nt. You see, I knew Al's now 48 son, Ernie, the kindest and most caring man I've ever known. I 49 that kindness and caring had to come from somewhere.One day I worked up my 50 to ask him how he became such a special personwith his 51 father the only one to raise him. Ernie said, “From my earliest memories as a child until I left home at 18, Al 52 my room every night, kissed me and said, ‘I love you, son.'”Tears came to my eyes as I realized what a 53 I had been to judge Al as a failure. Although he had not 54 any material possessions behind, he had beena loving father 55 he left behind the most giving man I have ever known.36. A. discovered B. metC. developedD. appeared37. A. forgot B. ignored C. treated D. cured38. A. anyway B. however C. indeed D. somehow39. A. death B. damage C. hurt D. loss40. A. destroyed B. endedC. changedD. declined41. A. In fact B. Worse stillC. What's moreD. As a result42. A. Unwilling B. UnluckyC. UnableD. Unknown43. A. improved B. deepenedC. startedD. showed44. A. silently B. suddenlyC. aloneD. accidentally45. A. contempt B. respect C. honor D. interest46. A. special B. valuable C. material D. unique47. A. reconsider B. rediscoverC. reformD. replace48. A. famous B. adult C. successful D. single49. A. doubted B. wonderedC. knewD. meant50. A. time B. strength C. courage D. intention51. A. useless B. alcoholicC. hopelessD. lonely52. A. knocked B. searched C. visited D. stepped53. A. surprise B. danger C. mistake D. fool54. A. owned B. bought C. taken D. left55. A. and B. but C. when D. ifIII 阅读理解ＡLinus Pauling, the only person who has won two undivided Nobel Prizes, was born in Portland, Oregon. He attended Washington High School but because of an unimportant detail he did not receive his diploma until 1962, long after he had received his Bachelor's degree in chemical engineering from Oregon State College in 1922. He had chosen to study this major because he could get a good job with it.He won the Nobel Prize for Chemistry in 1954 “for his research into the natureof the chemical bond and its application to the explanation of the structure of complex substances”. His interest in the “behavior” of molecules (分子) led him from physical chemistry to biological chemistry, especially of the human body. He began with proteins and their main parts, the amino acids (氨基酸), which are called the “building blocks of life”. In 1950, he constructed the first satisfactory model of a protein molecule, a discovery very important to the understanding of the living cell.During World War II, Pauling was a member of the Research Board for National Security, for which he was awarded the Presidential Medal of Merit in 1948. However, the use of the atomic bomb near the end of the war turned Pauling in a new direction. Having long worked on the structure of molecules, he took an immediate interest in the deadly effects of nuclear fallout on human molecular structures.From then on, Pauling protested the production of the hydrogen bomb and supported the prevention of the spread of nuclear weapons. Through his efforts, ＴｈｅＮｕｃｌｅａｒ－Ｔｅｓｔ－ＢａｎＴｒｅａｔｙ, declaring all nuclear tests to be illegal except underground ones, came into effect on October 10, 1963, the same day Linus Pauling was awarded the Nobel Prize for Peace.56. From the first paragraph, we learn that Linus Pauling ______________.A. didn't study hard while in Washington High SchoolB. is the only scientist who has won two Nobel PrizesC. was once badly treated in Washington High SchoolD. chose to study chemical engineering to earn his living57. Which of the following things did Pauling pay much attention to at first?A. The “behavior” of molecules.B. Physical chemistry.C. Biological chemistry.D. The human body.58. During World War II, Linus Pauling ___________.A. had to stop his research because of the warB. made great contributions to the safety of the countryC. joined the army to fight for the safety of the countryD. took part in researching nuclear bombs59. Which of the following is legal according to ＴｈｅＮｕｃｌｅａｒ－Ｔｅｓｔ－ＢａｎＴｒｅａｔｙ?A. The use of nuclear weapons.B. Testing hydrogen bomb on the ground.C. Testing nuclear weapons underground.D. The production of hydrogen bombs.ＢThere is no best way to learn a language, just different ways that suit different people. Some people prefer to “pick up” the language by reading books or magazines, watching films, visiting the country where the target language is spoken, etc. They focus on the meanings of words and don't worry too much about the language formsused. This method often suits children if they find themselves in a foreign country or with foreign friends. However, this approach doesn't suit everyone if your aim is to become good at writing.Probably the most common way to learn a language is in a classroom with a teacher. The teacher can explain difficult words, give guidance, provide extra motivation and feedback on progress. Unfortunately, some people do not have very pleasant experiences of learning a language in the classroom. Language learning can be great fun. But your writing level will be increased most efficiently this way. Besides learning in a classroom, you can use a personal tutor and arrange a very flexible system of tuition. That means if you are busy at a particular time, you can still arrange to have your language tuition at a time that suits you.With recent improvements in modern technology, it is now possible to purchase a wide range of multi-media materials for learning a language. You can teach yourself using cassettes, videos, CD- ROMs, books, and any combination of these. This approach is best suited to students who are self-disciplined and well-organized. It also tends to assist with the development of reading and listening skills. But be sure to pick out materials of high quality. If you want to become fluent at speaking and writinga language, you'll also benefit from cooperating with other users.60. The method mentioned in the first paragraph can be considered _______.A. passive learningB. natural and active learningC. the most effective learning methodD. a st ructured learning method61. The underlined word “flexible” in the second paragraph means “________”.A. strictB. pleasantC. safeD. free62. From the passage, we can NOT learn that ________. A. people need to care about grammar when speaking a languageB. classroom studying can be boring sometimesC. not all learning materials can help improve our language levelD. students lacking self-control may not benefit much from self-study63. What might be talked about in the next passage?A. How to find a personal tutor.B. How to deal with the difficulties in study.C. How to cooperate with other language learners.D. How to find the best studying method.ＣA new effort is being launched to better educate parents about the earliest signs of autism (孤独症). Doctors at Maryland's Kennedy Krieger Institute, one of the country's leading autism centers, say they can now identify symptoms in children at a younger age than before.Children with autism withdraw into their own private worlds. Most children are not diagnosed until they are 3 to 5 years old, but the signs can appear as earlyas 6 months. “Most people use the rule of thumb that if a child is showing developmental delays before the age of 3, they'll catch up, but children with autism usually can't,” said researcher Rebecca Landa.Researchers at the institute are showing in a video just what symptoms to look for, even in an infant. In about 30 percent of autism cases, researchers are now documenting what they call “regressive（倒退的）autism”. One boy documented by the Kennedy Krieger Institute was engaged and smiling at his mother at 6 months. When he reached one year, he appeared a little shy, but again, there was no reason for concern. But at the age of 2, he was totally attached to his toys and the signs in him have become more obvious. “Although causes of autism remain unknown, now you can really see autism in its full form,” Landa said.Chloe was diagnosed with autism at 2, when she could not interact with the children around her, and she hated to be touched. But after four months of intensive treatment, her behavior improved significantly.“She is talking now,” Landa said. “She looks to the teacher and shares enjoyment. She looks to others to know what she should be doing.” Chloe will still require many more years of treatment, but these early gains do last.64. Which of the following is NOT a symptom of a child suffering from autism?A. Not speaking to people around him.B. Not making eye contact with others.C. Acting aggressively to people around them.D. Fixing all his attention on the objects.65. What do the underlined words “these early gains” in the last paragraph probably refer to?A. Many years of treatment.B. Researches carried out by Landa.C. The early recognition of signs of autism.D. The cases Landa provided.66. From the passage, we can learn that __________.A. early signs of autism are often unnoticed or ignoredB. more and more children are suffering from autismC. autism can be completely cured if early symptoms are noticedD. children usually develop autism at the age of three67. What would be the best title for this passage?A. Early Symptoms of Autism in Children.B. Parents Should Look for Early Signs of Autism.C. New Effective Way to Treat Autism.D. Researchers Identify New Symptoms of Autism.ＤCome and discover the little big city in Switzerland. It's worth it to see the nicest sights. In fact, no matter what your idea of fun is, you'll find it in Zurich. If it is your first stay in this city, you should start in the heart of Zurich, the historical romantic old part of town. The narrow alleyways lace the picturesquehouses and only pedestrians (步行者) are allowed. Here, you'll have a wonderful time drinking and eating in a charming bistro where you can sit outside and enjoy the sun. While you're enjoying the traditional Swiss food, you'll catch the fascinating atmosphere and be able to observe the different people who walk by.If you like, you can climb aboard a lake cruiser for a 3-hour tour around the lake or just walk up to the border of the lake and feed the proud swans and cute ducks, which is the cheapest way to enjoy it. You will be abso lutely amazed at the nice view over the lake of the high Alps covered with snow. For more fun, you can explore the lake with colorful paddle boats.Be sure to visit the beautiful mountain called House Mountain, which can give you the most unforgettable overview of Zurich. You can take a ride on the railway built in 1923 to the top where you can breathe the fresh mountain air. From the lookout tower, you'll have a picturesque view of the lake, the city and the amazing Alps. Last, don't miss walking down the most famous shopping street, the Bahnhofstrasse, a distance of 1.4 kilometers. On both sides, you'll find everything you need and of course, you'll find the well-known Swiss banks.Come to see us. You'll have an unforgettable stay in this little big city. You won't regret it.68. You may not have the chance of ________ if you go to Switzerland.A. going shopping on a famous shopping streetB. visiting the beautiful lake and mountainC. visiting the romantic old part of a townD. making some traditional Swiss food in person69. How can you enjoy the view of the lake if you don't have much money?A. By taking a lake cruiser.B. By climbing the snow-covered Alps.C. By taking an old railway train.D. By walking to the lake and feeding birds there.70. Where can you get the best overview of the city of Zurich?A. On the top of House Mountain.B. On the narrow alleyways.C. In the center of the town.D. Over the lake.71. The purpose of writing this passage is to _________. A. introduce some interesting places of ZurichB. encourage people to come to Zurich to have a visitC. let people know more about the history of ZurichD. tell people how to get fun when visiting ZurichＥPlease excuse me if I'm a little sad today. Mark is leaving, and I'm feeling kind of sad.You probably don't know Mark. He's been the heart and soul of the office for a couple of years, combining great professional skills with a sweet nature. And nowhe's moving on to an exciting new professional opportunity. We're genuinely (真诚地) pleased about it. But that doesn't make it easier to say goodbye.Life has a way of throwing these curve balls at us. Just when we start to get comfortable with a person, a place or a situation, something c omes along to change the recipe. Our ability to cope with change and disturbance determines, to a great degree, our peace, happiness and contentment in life.But how do we do that? My friend Chris once told me that the answer can be summed up in four words “Go with the flow”. “It's like surfing,” Chris explained. “You can't organize the ocean. Waves just happen. You ride them where they take you, then you paddle back out there and catch the next one. Mostly you just take them the way they come.”I'm not exactly sure, but I think Chris was saying that life is a series of events — both good and bad. There will always be life-influencing factors you can't contro l. When things come up, which aren't exactly in your plan, work them out and then move on to be truly successful. Of course, a rained-out picnic is easier to deal with than the sudden death of a loved one. But the principle is the same.We'll miss Mark, but let's focus on hopes for a brighter future. And then we'll go out and do everything we can to make that future happen.72. What is the probable relationship between the writer and Mark?A. Mother and son.B. Wife and Husband.C. Colleagues.D. Sister and brother.73. Which of the following is NOT an example of a curve ball in life?A. A wonderful neighbor moves away.B. The family's main bread-winner is out of work.C. A child in the family leaves for college.D. A person succeeds after many years of hard work.74. By comparing a rained-out picnic with a sudden death of a loved one, the writer wants to show __________.A. many changes could happen in our daily lifeB. some changes in life are easier to take than othersC. the sudden death of a loved person will destroy our lifeD. only what influences us greatly should be treated seriously75. According to the passage, truly successful people are those who _______.A. can predict what will happen in the futureB. are not interested in what is happening around themC. can make adjustments when the unexpected thing happensD. reach a higher position with the aid of a higher powerIV 写作第一节短文改错I never used to enjoying science, but last term, I changed 76. _______the school, and the science teachers at my new school were great. 77. _______ The laboratories have the latest equipment. Our physical teacher, 78._______Mr Smith, takes us to public science lecture twice a month, and 79. _______ these are always much interesting. All the lecturers are people who 80. _______have made great discoveries in his area of science. As is known, 81. _______there are many first-class scientists in America. In the last decades, 82. _______many American scientists won the Nobel Prize! The Nobel Prize 83. _______ is the highest scientific prize, so we should be very proud with that. 84. _______Now I have begun to like science and deciding to study science well. 85. _______第二节书面表达请根据下列提示，写一篇关于中国著名科学家王选的文章。
高二人教版英语必修五练习：必修5综合测试题 Word版含答案
必修5综合测试题时间：120分钟，满分：150分第一部分：听力(共两节，满分30分)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．What's the woman going to do this evening?A．Go to a movie.B．Go to a concert.C．Study in the library.2．How will the man go to the office?A．By train.B．By taxi.C．By bus.3．What's the probable relationship between the two speakers?A．Classmates.B．Workmates.C．Friends.4．What's the woman doing?A．Ordering some food.B．Selling some food.C．Cooking some food.5．Where does the conversation probably take place?A．In a store.B．In an office.C．In a bank.第二节(共15小题；每题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，每小题将给出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至7题。
6．Where does the man work?A．In a factory.B．In a hotel.C．In a school.7．What does the man do?A．A manager.B．A cleaner.C．An electrician.听第7段材料，回答第8至9题。
必修5 模块测试卷(人教B版必修5)
必修五 模块测试卷（150分，120分钟）一、选择题(每题5分，共60分）1.在△ABC 中，a ，b ，c 分别是角A ，B ，C 的对边，且cos 22A ＝ccb 2+，则△ABC 是( )A.直角三角形B.等腰三角形或直角三角形C.等边三角形D.等腰直角三角形2.在等比数列{a n }中，如果a 1＋a 2＝40，a 3＋a 4＝60，那么a 7＋a 8等于( ) A.135 B.100 C.95 D.803.在△ABC 中，角A ，B ，C 所对的边分别为a ，b ，c ，且(3b －c )cos A ＝a cos C ，则cos A 的值等于( ) A.23 B. 33 C. 43 D. 63 4.〈日照模拟〉已知等比数列{a n }的前n 项和S n ＝t 25-⋅n －51，则实数t 的值为( ) A.4 B.5 C. 54 D. 515.某人向正东方向走x km 后，向右转150°，然后朝新方向走3 km ，结果他离出发点恰好是3 km ，那么x 的值为( )A.3B.23C.3或23D.3 6.设{a n }为各项均是正数的等比数列，S n 为{a n }的前n 项和，则( ) A.44S a =66S a B. 44S a ＞66S a C. 44S a ＜66S a D. 44S a≤66S a 7.已知数列{a n }的首项为1，并且对任意n ∈N +都有a n >0.设其前n 项和为S n ，若以(a n ，S n )(n ∈N +)为坐标的点在曲线y ＝21x (x ＋1)上运动，则数列{a n }的通项公式为( ) A.a n ＝n 2＋1 B.a n ＝n 2 C.a n ＝n ＋1 D.a n ＝n8.设函数f (x )＝⎪⎪⎩⎪⎪⎨⎧≥-.0,1,0,132＜x xx x 若f (a )<a ，则实数a 的取值范围为( )A.(－1，＋∞)B.(－∞，－1)C.(3，＋∞)D.(0,1) 9.已知a >0，b >0，则a 1＋b1＋2ab 的最小值是( ) A.2 B.22 C.4 D.510.已知目标函数z =2x +y 中变量x ,y 满足条件⎪⎩⎪⎨⎧≥+-≤-,1,2553,34x y x y x ＜则( )A.z max =12,z min =3B.z max =12,无最小值C.z min =3,无最大值D.z 无最大值,也无最小值 11.如果函数f (x )对任意a ，b 满足f (a ＋b )＝f (a )·f (b )，且f (1)＝2，则)1()2(f f ＋)3()4(f f ＋)5()6(f f ＋…＋)2013()2014(f f ＝( )A.4 018B.1 006C.2 010D.2 01412.已知a ，b ，a ＋b 成等差数列，a ，b ，ab 成等比数列，且log c (ab )>1，则c 的取值范围是( ) A.0<c <1 B.1<c <8 C.c >8 D.0<c<1或c >8 二、填空题（每题4分，共16分）13.〈泉州质检〉△ABC 的三个内角A ，B ，C 的对边分别为a ，b ，c ，且a cos C ，b cos B ，c cos A 成等差数列，则角B = .14.已知两正数x ，y 满足x ＋y ＝1，则z ＝⎪⎪⎭⎫⎝⎛+⋅⎪⎭⎫ ⎝⎛+y y x x 11的最小值为 . 15.两个等差数列的前n 项和之比为12105-+n n ，则它们的第7项之比为 .16.在数列{a n }中，S n 是其前n 项和，若a 1＝1，a n ＋1＝31S n (n ≥1)，则a n ＝ .三、解答题（解答应写出文字说明，证明过程或演算步骤）(17~20题每题12分，21~22题每题13分，共74分)17.已知向量m ＝⎪⎭⎫ ⎝⎛21,sin A 与n ＝(3，sin A ＋3cos A )共线，其中A 是△ABC 的内角. (1)求角A 的大小；(2)若BC ＝2，求△ABC 的面积S 的最大值，并判断S 取得最大值时△ABC 的形状.18.已知数列｛a n ｝满足a 1=1,a n +1=2a n +1(n ∈N *) (1)求数列{a n }的通项公式； (2)若数列{b n }满足11144421---n b b b =n b n a )1(+ (n ∈N*),证明：{b n }是等差数列;19.如图1,A,B是海面上位于东西方向相距5(3＋3)海里的两个观测点，现位于A点北偏东45°，B点北偏西60°的D点有一艘轮船发出求救信号，位于B点南偏西60°且与B点相距203海里的C点的救援船立即前往营救，其航行速度为30海里/小时，该救援船到达D点需要多长时间？20.解关于x的不等式ax2－2≥2x－ax(a∈R).21.已知等差数列{a n}的首项a1＝4，且a2＋a7＋a12＝－6.(1)求数列{a n}的通项公式a n与前n项和S n；(2)将数列{a n}的前四项抽去其中一项后，剩下三项按原来顺序恰为等比数列{b n}的前三项，记{b n}的前n项和为T n，若存在m∈N＋，使对任意n∈N＋总有T n<S m＋λ恒成立，求实数λ的最小值.22.某食品厂定期购买面粉，已知该厂每天需用面粉6 t，每吨面粉的价格为1 800元，面粉的保管等其他费用为平均每吨每天3元，每次购买面粉需支付运费900元.(1)该厂多少天购买一次面粉，才能使平均每天所支付的总费用最少？(2)若提供面粉的公司规定：当一次性购买面粉不少于210 t时，其价格可享受9折优惠(即原价的90%)，该厂是否应考虑接受此优惠条件？请说明理由.参考答案及点拨一、1.A 点拨：因为cos 22A ＝cc b 2+及2cos 22A －1＝cos A ，所以cos A ＝c b .而cos A=bca cb 2222-+，∴b 2+a 2=c 2，则△ABC 是直角三角形.故选A.2.A 点拨：由等比数列的性质知a 1＋a 2，a 3＋a 4，…，a 7＋a 8仍然成等比数列，公比q ＝2143a a a a ++＝4060＝23，∴a 7＋a 8＝(a 1＋a 2)14-q ＝40×323⎪⎭⎫ ⎝⎛＝135. 3.B 点拨：(3b －c )cos A ＝a cos C ，由正弦定理得3sin B cos A ＝sin C cos A ＋cos C sin A⇒3sin B cos A ＝sin(C ＋A )＝sin B ，又sin B ≠0，所以cos A ＝33.故选B. 4.B 点拨：∵a 1＝S 1＝51t －51，a 2＝S 2－S 1＝54t ，a 3＝S 3－S 2＝4t ，∴由{a n }是等比数列.知254⎪⎭⎫ ⎝⎛t ＝⎪⎭⎫⎝⎛-5151t ×4t ，显然t ≠0，∴t ＝5. 5.C 点拨：根据题意，由余弦定理得(3)2＝x 2＋32－2x ·3·cos 30°，整理得x 2－33x ＋6＝0，解得x ＝3或23.6.B 点拨：由题意得公比q >0，当q ＝1时，有44S a －66S a ＝41－61>0，即44S a >66S a； 当q ≠1时，有44S a －66S a ＝()41311)1(q a q q a --－()61511)1(qa q q a --＝q 3(1－q )()()642111q q q ---⋅＝231q q + 611q q--⋅>0，所以44S a >66S a .综上所述，应选B.7.D 点拨：由题意，得S n ＝21a n (a n ＋1)，∴S n －1＝21a n －1(a n －1＋1)(n ≥2). 作差，得a n ＝21()1212---+-n n n n a a a a ， 即(a n ＋a n －1)(a n －a n －1－1)＝0.∵a n >0(n ∈N +)，∴a n －a n －1－1＝0， 即a n －a n －1＝1(n ≥2).∴数列{a n }为首项a 1＝1，公差为1的等差数列. ∴a n ＝n (n ∈N +).8.A 点拨：不等式f (a )<a 等价于⎪⎩⎪⎨⎧≥-0,132a a a ＜或⎪⎩⎪⎨⎧,1,0a a a ＜＜解得a ≥0或－1<a <0，即不等式f (a )<a 的解集为(－1，＋∞). 9.C 点拨：依题意得a 1＋b 1＋2ab ≥2ab 1＋2ab ≥4ab ab⋅1＝4，当且仅当a 1＝b 1，且ab1=ab 时，取等号，故应选C. 10.C11.D 点拨：由f (a ＋b )＝f (a )·f (b )，可得f (n ＋1)＝f (n )·f (1)，)()1(n f n f +＝f (1)＝2，所以)1()2(f f ＋)3()4(f f ＋)5()6(f f ＋…＋)2013()2014(f f ＝2×1 007＝2 014. 12.B 点拨：因为a ，b ，a ＋b 成等差数列，所以2b ＝a ＋(a ＋b )，即b ＝2a .又因为a ，b ，ab 成等比数列，所以b 2＝a ×ab ，即b ＝a 2.所以a ＝2，b ＝4，因此log c (ab )＝log c 8>1＝log c c ，有1<c <8，故选B. 二、13.60° 点拨：依题意得a cos C ＋c cos A ＝2b cos B ，根据正弦定理得sin A cos C ＋sin C cos A ＝2sin B cos B ，则sin(A ＋C )＝2sin B cos B ，即sin B ＝2sin B cos B ，所以cos B ＝21，又0°<B <180°，所以B ＝60°，14. 425 点拨：z ＝⎪⎪⎭⎫ ⎝⎛+⎪⎭⎫ ⎝⎛+y y x x 11＝xy ＋xy 1＋x y ＋y x ＝xy ＋xy 1＋xy xy y x 2)(2-+＝xy 2＋xy －2，令t ＝xy ，则0<t ＝xy ≤22⎪⎭⎫ ⎝⎛+y x ＝41.设f (t )＝t ＋t 2，t ∈⎥⎦⎤ ⎝⎛41,0，设41≥t 2>t 1>0，则f (t 1)－f (t 2)＝⎪⎪⎭⎫ ⎝⎛+112t t －⎪⎪⎭⎫ ⎝⎛+222t t ＝212121)2)((t t t t t t --. 因为41≥t 2>t 1>0， 所以t 2－t 1>0，t 1·t 2<161.则t 1·t 2－2<0. 所以f (t 1)－f (t 2)>0.即f (t 1)>f (t 2).∴f (t )＝t ＋t 2在⎥⎦⎤ ⎝⎛41,0上单调递减，故当t ＝41时f (t )＝t ＋t2有最小值433，所以当x ＝y ＝21时，z 有最小值425.15.3∶1 点拨：设两个等差数列{a n }，{b n }的前n 项和为S n ，T n ，则n n T S ＝12105-+n n ，而77b a ＝131131b b a a ++＝1313T S ＝113210135-⨯+⨯＝3.16.21,114,233n n n -=⎧⎪⎨⎛⎫≥ ⎪⎪⎝⎭⎩ 点拨：∵3a n ＋1＝S n (n ≥1)，∴3a n ＝S n －1(n ≥2). 两式相减，得3(a n ＋1－a n )＝S n －S n －1＝a n (n ≥2)⇒nn a a 1+＝34(n ≥2) ⇒n ≥2时，数列{a n }是以34为公比，以a 2为首项的等比数列， ∴n ≥2时，a n ＝a 2234-⎪⎭⎫ ⎝⎛⋅n .令n ＝1，由3a n ＋1＝S n ，得3a 2＝a 1，又a 1＝1⇒a 2＝31，∴a n ＝31234-⎪⎭⎫ ⎝⎛⋅n (n ≥2).故⎪⎩⎪⎨⎧≥⎪⎭⎫ ⎝⎛⋅=-.2,3431,112n n n ， 三、17.解：(1)因为m ∥n ， 所以sin A ·(sin A ＋3cos A )－23＝0. 所以22cos 1A -＋23sin2A －23＝0. 即23sin2A －21cos2A ＝1，即sin ⎪⎭⎫ ⎝⎛-62πA ＝1.因为A ∈(0，π)，所以2A －6π∈⎪⎭⎫⎝⎛-611,6ππ， 故2A －6π＝2π，即A ＝3π. (2)由余弦定理，得4＝b 2＋c 2－bc ， 又S △ABC ＝21bc sin A ＝43bc ，而b 2＋c 2≥2bc ，bc ＋4≥2bc ，bc ≤4(当且仅当b ＝c 时等号成立)， 所以S △ABC ＝21bc sin A ＝43bc ≤43×4＝3. 当△ABC 的面积最大时，b ＝c ，又A ＝3π，故此时△ABC 为等边三角形. 18.(1)解：∵a n +1=2a n +1(n ∈N *),∴a n +1+1=2(a n +1).∴{a n +1}是以a 1+1=2为首项，2为公比的等比数列.∴a n +1=2n . 即a n =2n －1(n ∈N *). (2)证明：∵114-b 124-b …14-n b =()n bn a 1+.∴nb b b n -+++)(214=nnb 2.∴2［(b 1+b 2+…+b n )－n ］=nb n ,①2［(b 1+b 2+…+b n +b n +1)－(n +1)］=(n +1)b n +1.②②－①，得2(b n +1－1)=(n +1)b n +1－nb n ,即(n －1)b n +1－nb n +2=0,③ ∴nb n +2－(n +1)b n +1+2=0.④ ④－③，得nb n +2－2nb n +1+nb n =0,即b n +2－2b n +1+b n =0,∴b n +2－b n +1=b n +1－b n (n ∈N *).∴{b n }是等差数列.19.解：由题意知AB ＝5(3＋3)海里，∠DBA ＝90°－60°＝30°，∠DAB ＝90°－45°＝45°，∴∠ADB ＝180°－(45°＋30°)＝105°. 在△DAB 中，由正弦定理得，DAB DB ∠sin ＝ADBAB∠sin .∴DB ＝ADB DAB AB ∠∠⋅sin sin ＝︒︒⋅+105sin 45sin )33(5＝︒⋅︒+︒⋅︒︒⋅+45cos 60sin 60sin 45sin 45sin )33(5＝213)13(35++＝103(海里).又∠DBC ＝∠DBA ＋∠ABC ＝30°＋(90°－60°)＝60°， BC ＝203海里，在△DBC 中，由余弦定理得CD 2＝BD 2＋BC 2－2BD ·BC ·cos ∠DBC ＝300＋1 200－2×103×203×21＝900， ∴CD ＝30海里.则需要的时间t ＝3030＝1(小时). 答：救援船到达D 点需要1小时.20.解:原不等式可化为ax 2＋(a －2)x －2≥0⇒(ax －2)(x ＋1)≥0. (1)当a ＝0时，原不等式化为x ＋1≤0⇒x ≤－1. (2)当a ＞0时，原不等式化为⎪⎭⎫⎝⎛-a x 2 (x ＋1)≥0⇒x ≥a 2或x ≤－1；(3)当a ＜0时，原不等式化为⎪⎭⎫⎝⎛-a x 2 (x ＋1)≤0. ①当a 2＞－1，即a ＜－2时，原不等式的解集为－1≤x ≤a 2； ②当a 2＝－1，即a ＝－2时，原不等式的解集为x ＝－1；③当a 2＜－1，即－2＜a ＜0时，原不等式的解集为a2≤x ≤－1.综上所述：当a ＜－2时，原不等式的解集为⎥⎦⎤⎢⎣⎡-a2,1；当a ＝－2时，原不等式的解集为{－1}； 当－2＜a ＜0时，原不等式的解集为⎥⎦⎤⎢⎣⎡-1,2a ； 当a ＝0时，原不等式的解集为(－∞，－1］；当a ＞0时，原不等式的解集为(－∞，－1］∪⎪⎭⎫⎢⎣⎡+∞,2a . 21.解:(1)由a 2＋a 7＋a 12＝－6得a 7＝－2， 又a 1＝4，所以公差d ＝－1，所以a n ＝5－n ， 从而S n ＝2)9(n n -. (2)由题意知b 1＝4，b 2＝2，b 3＝1， 设等比数列的公比为q ，则q ＝12b b ＝21， 所以T n ＝2112114-⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛-n ＝8⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛-n 211.令f (n )=n⎪⎭⎫ ⎝⎛21.因为f (n )＝n⎪⎭⎫⎝⎛21是关于自然数n 的减函数，所以{T n }是递增数列，得4≤T n <8.又S m ＝2)9(m m -＝－22921⎪⎭⎫⎝⎛-m ＋881，当m ＝4或m ＝5时，S m 取得最大值，即(S m )max ＝S 4＝S 5＝10，若存在m ∈N ＋，使对任意n ∈N ＋总有T n <S m ＋λ恒成立， 则8≤10＋λ，得λ≥－2， 所以λ的最小值为－2.22.解：(1)设该厂应每x 天购买一次面粉，则其购买量为6x t.由题意知，面粉的保管等其他费用为3［6x ＋6(x －1)＋…＋6×2＋6×1］＝9x (x ＋1)元. 设每天所支付的总费用为y 1元，则 y 1＝x 1［9x (x ＋1)＋900］＋6×1 800＝x 900＋9x ＋10 809≥2x x9900⋅＋10 809＝10 989， 当且仅当9x ＝x900，即x ＝10时取等号. 所以该厂每10天购买一次面粉，才能使平均每天所支付的总费用最少.(2)若该厂接受此优惠条件，则至少每35天购买一次面粉.设该厂接受此优惠条件后，每x (x ≥35)天购买一次面粉，平均每天支付的总费用为y 2元，则y 2＝x 1［9x (x ＋1)＋900］＋6×1 800×0.90＝x900＋9x ＋9 729(x ≥35). 令f (x )＝x ＋x100(x ≥35)，x 2>x 1≥35，则f (x 1)－f (x 2)＝⎪⎪⎭⎫ ⎝⎛+11100x x －⎪⎪⎭⎫ ⎝⎛+22100x x ＝212121)100)((x x x x x x --. 因为x 2>x 1≥35，所以x 1－x 2<0，x 1·x 2>100.所以x 1x 2－100>0. 所以f (x 1)－f (x 2)<0，即f (x 1)<f (x 2). 所以f (x )＝x ＋x100在［35，＋∞)内为增函数. 所以当x ＝35时，y 2有最小值，约为10 069.7. 此时y 2<10 989，所以该厂应该接受此优惠条件.。
人教版高中英语必修五测试题及答案
人教版高中英语必修五测试题及答案本试卷分第Ⅰ卷和第Ⅱ卷两部分。
第Ⅰ卷第一部分听力(共两节，满分30分)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．Who will the man go traveling with?A．His friends.B．His workmates.C．His wife and children.2．What would the man like to do tonight?A．Attend a meeting.B．Stay at home.C．Go to the cinema.3．Where are the speakers?A．In Salt Lake City.B．In San Francisco.C．In New England.4．What did the woman's mother do?A．A babysitter. B．A teacher. C．A lawyer.5．What are the speakers doing?A．Saying goodbye to each other.B．Having a dinner party.C．Cooking at the man's.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．What are the speakers talking about?A．The dressing. B．The fashion. C．The color. 7．What may the woman wear?A．Tight top.B．Purple jeans.C．Something comfortable.听第7段材料，回答第8、9题。
(完整版)人教版英语必修五Unit5必刷题.doc
Unit 5 First aid在空白处填入 1 个适当的单词或括号内单词的正确形式。
1.When the pain becomes ____________ (bear), she simply takes painkillers instead of visiting a doctoror resting.2.Although he had previously led a stable life, unemployment and a series of illnesses left him____________ (temporary) without a home.3.There are too many big factories blowing out dangerous smoke and letting out ____________ (poison) chemicals into rivers.4.If ____________ (possibility), everyone should use electric cars to make the world cleaner and beer.5.If you stick ____________ practising the piano, you can become a good pianist sooner or later.6. Her finger had ____________ (swell) so much that she couldn’ t get her ring off.7.As you can imagine, if your skin gets ____________ (burn), it can be very serious.8.We must do what we can to prevent the source of all the water supplies from ____________.(pollute)9. ____________ (give) that she was very interested in the activity, finally Lily’ s moth part.10.There is no doubt that ____________ is vital for us to deal with e-waste properly.11.Recite these new words ____________ (repeat) for several times. This will deeply impress them onyour memory.12.Extra lessons on Sundays put more ____________ (press) on students, who already have pilesof homework.13.Don ’ t turn off the light. The doctor is treating the boy ____________ his burns.14.The number of people speaking Chinese is becoming larger, for a number of foreigners ____________ learning Chinese at present.15.I ’ m writing the letter to apply ____________ the position as a volunteer advertised in the newspaper.16.It was when we were returning home ____________ I realised what a good feeling it was to have helped someone in trouble.17.After days of searching, he finally put his hands ____________ his dying wife under the stones.18.Hardly had she arrived home ____________ it began to rain heavily.19.Though ____________ (lack) confidence, Tom managed to finish the speech.20.Anyone, once ____________ (test) positive for H7N9 flu virus, will receive free medical treatmentfrom our government.单句改错1.Don ’ t move anything here. Mother likes everything to be in the place.2.My father and I are worried that he may fall illness if he works too hard.3.He explained that funding used to be one of the biggest barrier for the company.4.Many online games are full of violence, which is what my concern lies.5.-We heard Jack was badly injured in a traffic accident. -If not, let’ s go to see him.6.I still remember what happened with my deskmate and me many years ago.7.Cool Chinese performs variety of functions and works as a practical guide to Chinese learning.8. The doctor has warned him over or over again to stop smoking, but he hasn’ t taken any a9. The instant when the button is pushed, the seat will give you an electric shock.10. Jerry has promised to keep the secret, so he won’ t tell anyone even though.11.She held my hand tight when the pain got too much and it helped.12.Because of our brave, he left without saying a word.13.In return, the computer centre presented the designer a latest computer.14.Of all the subjects, I like history best because it gives us useful knowledge of things in the past.15.I ’ m proud what I have achieved and I have no regrets in my life.16.His discussion with his new boss made great difference for his life as a journalist.17. It is so cold that you can ’ t go outside unless fully covering in thick clothes.18.“ We can’ t go out in this weather, “ said Bob, looked out of the window.19.Though not very big, but the restaurant is popular in our area.20.Before warned of the side effects. he kept taking the medicine.语法填空AFirst aid is of importance in our life. There is no doubt 1. ____________ it is necessary to know some knowledge of first aid as dangers lie everywhere and accidents happen from time to time. If a person has an accident, he needs medical care before a doctor can 2. ____________ (find). But in the process of first aid, whether the injured will be properly treated 3. ____________ (depend) on your knowledge of first aid. Inspite of 4. ____________ (various) of possible injuries, several rules of first aid apply 5. ____________ all emergencies. The first step is 6. ____________ (call) for expert medical help. Next, assess the scene, asking other people or the inured person’ s family or friends about 7. ____________ (detail) of the injury or illn Besides, 8. ____________ the accident scene becomes unsafe or the victim may suffer further injury, do not move the victim.One method for accessing a victims condition is known by the acronym首(字母缩写词 ) ABC, whichstands 9. ____________:A-Airway: Is it open and clear?B-Breathing: Is the person breathing? Look, listen, and feel for breathingC-Circulation: Is there a pulse? Is the person bleeding 10. ____________ (heavy) Check skin colour and temperature for additional signs of circulation problems.BThe best way to deal with sports injuries is to keep them from happening in the first place. Knowing the rules of the game you’ re playing and using the right 1. ____________ (equip) can go a long way towards preventing injuries. If you think you’ ve been injured, pull 2. ____________ (you) out of the game or ____________ (do) your activity or workout. Let a coach or parent know what happened in case you need to see a doctor. Serious head and neck injuries happen most often in athletes 4. ____________ play contact sports like football. Keep the injured person still with his or her head 5. ____________ (hold) straight while someone calls for emergency 6. ____________ (medicine) help. If the person 7. ____________ (lie) on the ground, do not try to move him or her.Your first question after a sports injury will 8. ____________ (probable) be,“ When “ This depends on the injury and what your doctor tells you. Even if you can’ t return to you away, a doctor might have advice 9. ____________ what you can do to stay fit. Always check with yourdoctor 10. ____________ trying any activity following an injury.文中共有 10 处语言错误 ,每句中最多有两处。
必修五测试题及答案
必修五测试题及答案一、选择题（每题2分，共20分）1. 下列关于细胞分裂的描述，错误的是：A. 细胞分裂是生物体生长和发育的基础B. 细胞分裂过程中，染色体数量会加倍C. 细胞分裂包括有丝分裂和减数分裂D. 细胞分裂是无性生殖的一种方式答案：B2. 光合作用的主要场所是：A. 细胞核B. 叶绿体C. 线粒体D. 细胞膜答案：B3. 下列关于遗传物质的描述，正确的是：A. DNA是所有生物的遗传物质B. RNA是所有生物的遗传物质C. DNA和RNA都是遗传物质D. 遗传物质是蛋白质答案：A4. 下列关于生态系统的描述，错误的是：A. 生态系统由生物部分和非生物部分组成B. 生态系统具有自我调节能力C. 生态系统是封闭的D. 生态系统是动态平衡的答案：C5. 下列关于基因的描述，错误的是：A. 基因是DNA分子上的一段特定序列B. 基因控制生物体的性状C. 基因是蛋白质D. 基因突变可能导致生物体性状的改变答案：C6. 下列关于酶的描述，正确的是：A. 酶是一类蛋白质B. 酶是一类核酸C. 酶是一类脂质D. 酶是一类糖类答案：A7. 下列关于细胞膜的描述，错误的是：A. 细胞膜具有选择透过性B. 细胞膜由脂质双层构成C. 细胞膜由蛋白质和糖类组成D. 细胞膜是细胞的边界答案：C8. 下列关于进化的描述，错误的是：A. 进化是生物适应环境的过程B. 进化是生物种类增加的过程C. 进化是生物种类减少的过程D. 进化是生物适应性增强的过程答案：C9. 下列关于染色体的描述，正确的是：A. 染色体是DNA和蛋白质的复合物B. 染色体是RNA和蛋白质的复合物C. 染色体是蛋白质的复合物D. 染色体是糖类的复合物答案：A10. 下列关于细胞周期的描述，错误的是：A. 细胞周期包括间期和分裂期B. 细胞周期是细胞生长和分裂的周期性过程C. 细胞周期是无性生殖的过程D. 细胞周期是细胞分裂的准备过程答案：C二、填空题（每题2分，共20分）1. 细胞分裂过程中，染色体的______会加倍。
新课标人教版必修5高中数学综合检测试卷附答案解析
解题技巧
认真审题，理解 题意
运用所学知识， 分析问题
结合实际，联系 生活
细心计算，确保 答案准确
易错点提醒
计算错误：学生可 能因为粗心或计算 能力不足而犯错
概念混淆：学生对 相关概念理解不清 晰，导致填空题答 案错误
逻辑推理错误：学生 在解题过程中，可能 因为逻辑推理不严密 而导致答案错误
审题不清：学生可能因 为审题不仔细，导致理 解题意出现偏差，从而 影响答案的准确性
难度分布：试卷难度适中，注重基础知识的考查，同时也有一定的难度和区分度。
题型设计：本试卷包括选择题、填空题、解答题等多种题型，考查学生的不同能力。
考查重点：本试卷重点考查学生的数学基础知识和应用能力，以及学生的数学思维和解题技 巧。
难度分析
基础题占比： 40%
中档题占比： 40%
难题占比：20%
题目设计注重考查 学生的数学析
题目类型：单项选择题
题目数量：10道
题目难度：中等
解析：对每道题目进行详细的 解析，包括解题思路、方法、 答案等
解题技巧
掌握基础知识：选择题通常考察基础知识点，应熟练掌握相关概念和公式。 仔细审题：读懂题目要求，找出关键信息，避免因误解而选错答案。
排除法：对于一些难以确定答案的选择题，可以采用排除法，排除明显错误的选项。
善于利用选项：有些选择题的答案可以通过代入选项进行验证，从而快速找到正确答案。
易错点提醒
选项中涉及到的知识点是否准确掌握 选项中的陷阱和迷惑性词语是否能够识别 计算和分析过程中是否有遗漏或错误 解题思路和方法是否正确且符合题意
题目类型及解析
题目类型：填空题 题目难度：中等 题目数量：10道 解析：针对每道题目给出详细的解题思路和答案解析
人教B版必修五期末考试题.doc
I 、选择题 选择题 1、在ABC中,sin A cos B b ,则角B 等于( A 、30。
B 、45。
C 、60。
D 、90。
2 在 ABC 中，« = 5^2,c = 10, A = 30° 则角 B 等于(中，A 、 105。
B 、60。
C 、“°D 、 105。
或15。
3已知一个锐角三角形的三边边长分别为3, 4, °,则。
的取值范围（ A 、(1,5) B 、 (1,7) C 、D 、1 一 cos A _a4 ABC 中，若 1 一cosB b ,贝ij ABC 一定是( A 、等腰二角形 B 、直角二角形 5在等差数列｛"" ｝中，若佝+為+ d + % + °7 = 450 C 、锐角三角形 D 、钝角三角形 则«2+«8等于（ A 、45 B 、75 C 、180 D 、300 6、设等差数列｛""｝的前"项和为5« ,且°心 °，^2n-l = 38 ,则加( A 、38 B 、20 C 、10 D 、9 7若数列 的通项公式为"亦+亦石 ,且$<« = 9,则加等于（ A 、9 B 、10 C 、99 D 、100 8、已知 为等差数列,a i +a 3+tt 5 = 1^5 a 3+a 4+a 6=99^ 用 S” 表不@”｝的前" 项和，则使S"达到最大值的"是（A 、21B 、20C 、19D 、189、若关于*的不等式ax 2+bx + 2> °的解集为I4<x<1A 、-10B 、-14C 、10D 、1410、以原点为圆心的圆全部都在平面区域x-3j+ 6> 0 x-j+2>0 内, 则圆面积的最大值为（）A 、18兀~T~ B 、9兀~5~ C 、D、Alog2a>0 C log2a + log2b<-2D、M = |x|x2-4>o|,A^ =■ x —< 1 >12、已知集合I * - 则M Cl N等于C、N) D、M11、已知°<a<0,且" + 0 = 1,则下列不等式中，正确的是（II、非选择题二、填空题13、ABC的二个内角之比为1:2:3，则这个二角形的二边之比为14、已知数列W的前"项和为S” =/ + 3“ + 1 ,则它的通项公为15、设等差数列｛""｝的前"项和为S",且6S S-5S3=5，则°厂16 , r 、y = x-\---- ，兀G（-2,+oo）16、已矢口函数兀+ 2 ，则此函数的最小为三、解答题17、在ABC中，已知"3少，c = 2,B = 150°）求边0的长及ABC的面积S.18 在ABC 中，0 = asinC 且c = asin(90°-B),试判断ABC 的形状19、设等差数列｛""｝的前"项和为％已知«3=24^II=0（1）求数列的通项公式;（2）求数列W J的前"项和S"；（3）当"为何值时，％最大？并求％的最大值.20已知数列仏"｝的前"项和为S” = 3 + 2a” ,求数列｛a n｝的通项公式.f(x) =严+ " ,x w (0, +oo)21、已知函数Xa (1)当13时，求函数/（X）的最小值；（2）若V XG（0,+CO）,/（X）>6恒成立，求实数a的取值范围.3r x > 22、已知关于x的不等式（a + *）x + 3a-2Z><0的解集为1（1）4⑵求关于x的不等式（° _収+ （a + 2〃 - l）x + 2a - 2 > 0的解集。
人教版高中英语必修五单元测试题及答案
---------------------------------------------------------------最新资料推荐------------------------------------------------------ 人教版高中英语必修五单元测试题及答案新课标模块五单元测试题一一．听力略二．单项填空 21 The police had to ____ the evidence in order to arrest the thief. A examine B check C test D prove 22 He wrote her a long letter expressing the fact ____ she would not misunderstand him. A so as to B in order to C so that D for fear 23 My heart was filled with gladness because I was able to ____ my parents. A intend B care C concern D attend 24 The relationship between the two countries has ____since the beginning of the talks on the border conflicts. A eased B reduced C easy D comforted 25. Its very dangerous to be ____ to the SARS virus without any protection. A disclosed B uncover C affected D exposed 26. This medicine will ____ him of his cough. A recover B cure C treat D heal 27. He always brings me a pretty gift ____ he comes to visit me. A by the time B sometimes C every time D at times 28. To our surprise, the man, who was looked down upon by others in the past, is now ____ the whole project. A beyond control B in control of C out of control D losing control of 29. Finally he got the ___________from her eyes; she didnt love him any longer. A. news B. message C. explanation D. expression 30.1/ 2----- Where was I ? ------ You _________you didnt like your fathers job. A. had said B. said C. were saying D. had been saying 31. Were going to ________ the hutongs of Beijing. Would you like to join us? A. get round B. get along C. get in D. get over 32. Professor Jordan gave us _______ lecture this afternoon and most of us were confused. A. a more confusing B. more confusing a C. a most confusing D. the most confusing 33. ---- Do you _____ any difficulty ______ the subject ? ------ Yes. Its too hard for me. A. take; to understand B. have; in understanding B. take; understanding D. have; to understand 34. In my opinion, Zhao Wei isnt ________ a film star. Shes just good-looking. A. much of B. more of C. something of D. a bit of 35. Its seven oclock now. Lets _________ the news o...。
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Renb 必修五测试题（满分150分,测试时间120分钟）一、选择题（本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的）1.已知集合M={x|-4≤x≤7}，N={x|x 2-x-12＞0}，则M∩N 为（ ） A.{x|-4≤x ＜-3或4＜x≤7} B.{x|-4＜x≤-3或4≤x ＜7} C.{x|x≤-3或x ＞4} D.{x|x ＜-3或x≥4} 解析：N={x|x ＜-3或x ＞4}，借助数轴，进行集合的运算，如图.得M∩N={x|-4≤x ＜-3或4＜x≤7}.故选A. 答案：A2.若A 是△ABC 的一个内角，且sinA+cosA=32，则△ABC 的形状是（ ）A.锐角三角形B.直角三角形C.钝角三角形D.不确定 解析：由sinA+cosA=32，得sinAcosA=185-＜0.又∵0＜A ＜π，∴2π＜A ＜π.故∠A 为钝角.答案：C3.一群羊中，每只羊的重量数均为整千克数，其总重量为65千克，已知最轻的一只羊重7千克，除去一只10千克的羊外，其余各只羊的千克数恰能组成一等差数列，则这群羊共有（ ）A.6只B.5只C.8只D.7只 解析：设这群羊共有n+1只，公差为d （d ∈N *）. 由题意，得7n+d n n 2)1(-=55，整理，得14n+n （n-1）d=110. 分别把A 、B 、C 、D 代入验证，只有B 符合题意，此时n=5，d=2.答案：A4.已知点P （x ，y ）在经过A （3，0）、B （1，1）两点的直线上，那么2x+4y的最小值是（ ） A.22 B.42 C.16 D.不存在解析：可求AB 的直线方程为x+2y=3.∴2x +4y =2x +22y ≥242222222322=+=∙+y x y x . 答案：B5.若实数x 、y 满足不等式组⎪⎩⎪⎨⎧≥--≥-≥.022,0,0y x y x y 则w=11+-x y 的取值范围是（ ）A.［-1，31］ B.［31,21-］C.［21-，+∞) D.［21-，1］解析：作出不等式组表示的平面区域如下图所示.据题意，即求点M （x ，y ）与点P （-1，1）连线斜率的取值范围.由图可知w min =211101-=---，w max ＜1，∴w ∈［21-，1］.答案：D6.预测人口的变化趋势有多种方法，“直接推算法”使用的公式是P n =P 0（1+k ）n （k ＞-1），其中P n 为预测期人口数，P 0为初期人口数，k 为预测期内年增长率，n 为预测期间隔年数.如果在某一时期有-1＜k ＜0，那么在这期间人口数（ ）A.呈上升趋势B.呈下降趋势C.摆动变化D.不变解析：P n+1-P n =P 0（1+k ）n+1-P 0（1+k ）n =P 0（1+k ）n （1+k-1）=P 0（1+k ）n ·k ， ∵-1＜k ＜0，∴0＜1+k ＜1.∴（1+k ）n＞0. 又∵P 0＞0，k ＜0，∴P 0（1+k ）n ·k ＜0.即P n+1-P n ＜0，∴P n+1＜P n . 答案：B7.设b ＞0，二次函数y=ax 2+bx+a 2-1的图象为下列之一，则a 的值为（ ）A.1B.-1C.251-- D.251+-解析：由前两个图可知b=0，不合题意.根据后两个图过原点可知a 2-1=0，即a=-1或a=1. 当a=1时，函数为y=x 2+bx ，其图象与x 轴交于（0，0）及（-b ，0）两点，不合题意； 当a=-1时，函数为y=-x 2+bx ，其图象与x 轴交于（0，0）及（b ，0）两点，第三个图符合.故选B. 答案：B8.已知凸函数的性质定理：如果函数f （x ）在区间D 上是凸函数，则对于区间内的任意x 1，x 2，…，x n ，有n1［f （x 1）+f （x 2）+…+f （x n ）］≤)(21nx x x f n++.已知y=sinx 在区间（0，π）上是凸函数，那么在△ABC 中，sinA+sinB+sinC 的最大值为（ ） A.2 B.233 C.23 D.3解析：据题意得31（sinA+sinB+sinC ）≤233sin3sin==++πCB A .∴sinA+sinB+sinC≤233.答案：B 9.已知yx 35+=2（x ＞0，y ＞0），则xy 的最小值是（ ）A.12B.14C.15D.18 解析：∵x ＞0，y ＞0，∴2=xyy x 15235≥+.∴xy≥15，当且仅当yx35=等号成立.答案：C10.已知x 、y 满足条件⎪⎩⎪⎨⎧≤≥+≥+-.3,0,05x y x y x 则2x+4y 的最小值为（ ）A.6B.-6C.12D.-12 解析：作出平面区域如下图所示，令z=2x+4y ，欲求z 的最小值，即求y=421z x +-在y 轴上截距的最小值.可以看出当直线过点（3，-3）时，纵截距最小. ∴z min =2×3+4×（-3）=-6.故选B.答案：B11.设集合P={m|-1＜m ＜0}，Q={m ∈R |mx 2+4mx-4＜0,对任意实数x 恒成立}，则下列关系中成立的是（ ）A.PQ B.Q P C.P=Q D.P∩Q=∅解析：由mx 2+4mx-4＜0对x ∈R 恒成立⇒⎩⎨⎧<+=∆<⇒0161602m m m -1＜m ＜0. 当m=0时，-4＜0.∴Q={m|-1＜m≤0}.∴P Q. 答案：A12.在锐角三角形中，a 、b 、c 分别是内角A 、B 、C 的对边，设B=2A ，则ab 的取值范围是（ ）A.（-2，2）B.（2，3）C.（2，2）D.（0，2）解析：C=π-3A.由0＜B ＜2π，0＜C ＜2π，得6.230,220ππππ⇒⎪⎪⎩⎪⎪⎨⎧<-<<<A A ＜A ＜4π. 由正弦定理得AA AB ab Bb Aa sin 2sin sin sin sin sin ==⇒===2cosA.而22＜cosA ＜23，∴2＜ab ＜3.故选B.答案：B二、填空题（把答案填在题中横线上.本大题共4小题，每小题4分，共16分）13.在等差数列{a n }中，当a r =a s （r≠s ）时，{a n }必定是常数数列.然而在等比数列{a n }中，对正整数r 、s （r≠s ），当a r =a s 时，非常数数列{a n }的一个例子是_____________. 解析：因为在等差数列{a n }中,当a r =a s 时公差必为0，所以{a n }必定是常数数列，而在等比数列{a n }中,当a r =a s 时公比为±1，当公比为1时是常数数列，当公比为-1时，为摆动数列，所以要符合题意只要任写出一个摆动数列即可. 答案：a ，-a ，a ，-a ，…（a≠0）14.在等差数列{a n }中，已知a 1+a 3+a 5=18，a n-4+a n-2+a n =108，S n =420，则n=___________. 解析：∵（a 1+a 3+a 5）+（a n -4+a n-2+a n ）=3（a 1+a n ）=126，∴a 1+a n =42. 又S n =2422)(1⨯=+n a a n n =420，∴n=20.答案：2015.已知函数y=f （x ）是偶函数，当x ＞0时，f （x ）=x+x4.当x ∈［-3，-1］时，记f （x ）的最大值为m ，最小值为n ，则m-n=______________. 解析：∵y=f （x ）是偶函数， ∴即求f （x ）在x ∈［1，3］上的最值. ∵x ＞0时，f （x ）=x+x4≥4（x=2时，等号成立），∴n=f （x ）min =4.而m=f （x ）max =f （1）=5，∴m-n=5-4=1.答案：116.设x 、y ∈R +，S=x+y ，P=xy ，以下四个命题中正确命题的序号是_________________.（把你认为正确的命题序号都填上）①若P 为定值m ，则S 有最大值m 2；②若S=P ，则P 有最大值4；③若S=P ，则S 有最小值4；④若S 2≥kP 总成立，则k 的取值范围为k≤4. 解析：P 为定值m 时，S 应有最小值m 2，故①不正确.S=P 时，x+y=xy ⇒xy≥xy xy ⇒2≥2⇒xy≥4⇒P min =4，∴②也不正确. 由S=P ⇒x+y=xy≤4)(2y x +⇒x+y≥4⇒S min =4，∴③正确. S 2≥kP ⇒k≤PS2，又xyxyxy xyxyy x PS222222+≥++==4，∴（PS2）min =4.∴k≤4.∴④正确. 答案：③④三、解答题（答案应写出文字说明、证明过程或演算步骤.本大题共6小题，共74分） 17.（本题满分12分）在△ABC 中，已知角A 、B 、C 所对的三条边分别是a 、b 、c 且满足b 2=ac.（1）求证：0＜B≤3π；（2）求函数y=BB Bcos sin sin12++的值域.（1）证明：∵b 2=ac ，∴cosB=21222222222=-≥-+=-+acac ac acacc a acbc a .又∵0＜B ＜π，∴0＜B≤3π.（2）解:y=BB B B BB Bcos sin )cos (sin cos sin 2sin 12++=++=sinB+cosB=2sin （B+4π）.∵0＜B≤3π，∴12744πππ≤+<B .∴当B+44ππ=，即B=4π时，y max =2.当B+44ππ=时，y min =2×22=1.∴y ∈（1，2）.18.（本题满分12分）集合A={x|x 2-5x+4≤0}，B={x|x 2-2ax+a+2≤0}，若B ⊆A 且B≠∅，求a 的取值范围.解：由A={x|x 2-5x+4≤0}⇒A={x|1≤x≤4}. 令f （x ）=x 2-2ax+a+2. ∵B A 且B≠∅,∴⎪⎪⎪⎩⎪⎪⎪⎨⎧≤≤<<-≤≥⇒⎪⎪⎩⎪⎪⎨⎧≥-≥-<<≥--⇒⎪⎪⎩⎪⎪⎨⎧≥≥<<≥∆.718,3,41,12.0718,03,41,02.0)4(,0)1(,41,02a a a a a a a a a a f f a 或⇒2≤a≤718. 19.（本题满分12分）在△ABC 中，三内角A 、B 、C 成等差数列，角B 的对边b 为1，求证：1＜a+c≤2.证法一：∵2B=A+C ，又A+B+C=180°， ∴B=60°，C=120°-A. 由正弦定理得︒==60sin 1sin sin Cc Aa ，再由合分比定理得a+c=332（sinA+sinC ）=332［sinA+sin （120°-A ）］=2sin （A+30°）≤2，再由两边之和大于第三边，∴1＜a+c. ∴1＜a+c≤2.证法二：先得B=60°（同上得）. 再利用余弦定理知cosB=acbc a 2222-+，即acbc a 221222-+=，即（a+c ）2-1=3ac≤2)2(3c a +.解得a+c≤2.又∵a+c ＞1，∴1＜a+c≤2.20.（本题满分12分）某商场预计全年分批购入每台价值为2 000元的电视机共3 600台.每批都购入x 台（x ∈N *），且每批均需付运费400元.贮存购入的电视机全年所付保管费与每批购入电视机的总价值（不含运费）成正比.若每批购入400台，则全年需用去运输和保管总费用43 600元.现在全年只有24 000元资金用于支付这笔费用，请问能否恰当安排每批进货的数量使资金够用?写出你的结论，并说明理由.解：依题意，当每批购入x 台时，全年需用保管费S=2 000x·k. ∴全年需用去运输和保管总费用为y=x 3600·400+2 000x·k. ∵x=400时，y=43 600，代入上式得k=201，∴y=x1440000+100x≥xx10014400002∙=24 000.当且仅当x1440000=100x ，即x=120台时，y 取最小值24 000元.∴只要安排每批进货120台，便可使资金够用.21.（本题满分12分）已知等比数列{a n }满足a 1+a 6=11，且a 3a 4=932.（1）求数列{a n }的通项a n ；（2）如果至少存在一个自然数m ，恰使132-m a ，2m a ，a m+1+94这三个数依次成等差数列，问这样的等比数列{a n }是否存在?若存在，求出通项公式；若不存在，请说明理由. 解：（1）由题意得⎪⎩⎪⎨⎧==⎪⎪⎩⎪⎪⎨⎧==⇒⎪⎩⎪⎨⎧=∙=+.2,3121,332932,11113121511q a q a q a q a q a a 或∴a n =31)21(3321=-n ×26-n或a n =31·2n-1. （2）对a n =31·2n-1，若存在题设要求的m ，则2（31·2m-1）2=32·31·2m-2+31·2m +94.∴（2m ）2-7·2m +8=0. ∴2m=8，m=3. 对a n =31·26-n，若存在题设要求的m ，同理有（26-m）2-11·26-m-8=0.而Δ=112+16×8不是完全平方数，故此时所需的m 不存在. 综上所述，满足条件的等比数列存在，且有a n =31·2n-1.22.（本题满分14分）已知二次函数f （x ）的二次项系数为a ，且不等式f （x ）＞-2x 的解集为（1，3）.（1）若方程f （x ）+6a=0有两个相等的根，求f （x ）的解析式； （2）若f （x ）的最大值为正数，求a 的取值范围. 解：（1）设f （x ）=ax 2+bx+c ，则不等式f （x ）＞-2x 为ax 2+（b+2）x+c ＞0. ∵不等式的解集为（1，3）， ∴a ＜0，ab 2+-=4，ac =3，即a ＜0，b=-4a-2，c=3a. ∵方程ax 2+bx+6a+c=0有两个相等 的根， ∴Δ=b 2-4a （6a+c ）=0.把b 、c 分别代入Δ中，得5a 2-4a-1=0. 解得a=51-，a=1（舍）.∴b=56-，c=53-.∴f （x ）的解析式为f （x ）=5356512---x x .（2）由（1）知a ＜0，所以当x=ab 2-时，函数f （x ）取到最大值.由题设，得a （ab 2-）2+b·（ab 2-）+c ＞0.代入b 、c 并整理，得a 2+4a+1＞0. 解得a ＜-2-3或a ＞-2+3.又∵a ＜0，∴a 的取值范围为（-∞，-2-3）∪（-2+3，0）.。