北京市101中学2017-2018学年高一英语上学期期中试题(含答案)
北京101中学2017-2018学年上学期高一年级期中考试英语试卷本试卷共120分。
考试时间100分钟。
第一部分：听力理解（共三节，20分）第一节（共5小题：每小题1分，共5分）听下面5段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. When does the man go to sleep?A. At 5.B. At 7.C. At 10.2. What does the woman advise the man to do?A. To go to bed early.B. To catch the later flight.C. To ask for a morning call.3. Which skirt does the woman want to try?A. The brown one.B. The black one.C. The yellow one.4. What does Mr. Taylor do?A. A dentist.B. A secretary.C. A clerk.5. Which of the following is Daniel?A. B. C.第二节（共10小题：每小题1分，共10分）听下面4段对话或独白。
每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
每段对话或独白你将听两遍。
听第6段材料，回答第6至7题。
6. What did the man do on the weekend?A. He rested at home.B. He ran in the park.C. He did his homework.7. When did the woman go to the concert?A. On Sunday.B. On Saturday.C. On Friday.听第7段材料，回答第8至9题。
8. What is the man mainly worried about?A. The biology project.B. The history exam.C. The physics exam.9. What is the probable relationship between the two speakers?A. Schoolmates.B. Colleagues.C. Strangers.听第8段材料，回答第10至12题。
10. Where does the conversation probably take place?A. In a bank.B. At a restaurant.C. At a museum.11. What are the two speakers?A. Tourists.B. Bankers.C. Architects.12. What did Henry give to the man?A. Some photos.B. A guide book for tourists.C. A map of the bus system.听第9段材料，回答第13至15题。
13. Which subject needs a test first?A. Math.B. English.C. History.14. When is the speech probably made?A. At the beginning of a term.B. Before examinations.C. At the end of a term.15. What is the sp eaker doing?A. Giving advice on study.B. Explaining school rules.C. Introducing some subjects.第三节（共5小题：每小题l分，共5分）听下面一段对话，完成第l6至第20五道小题，每小题仅填写一个词。
听对话前，你将有20秒钟的时间阅读试题，听完后你将有60秒钟的作答时间。
这段对话你将听两遍。
Memo（请将第二部分知识运用（共两节，31分）第一节单项填空（共11小题：每小题1分，共11分）21. After the accident, Christopher sometimes felt sorry _____ himself, but never thought ______committing suicide.A. at, withB. with, inC. in, forD. for, of22. I first met Lisa three years ago. She _________ at a radio shop at that time.A. has workedB. had workedC. was workingD. had been working23. Attention, please. The last plane to London ___________ off at 9: 00 pm.A. takeB. takesC. tookD. has taken24. —Did you enjoy the party?—Yes. We ___________ well by our hosts.A. were treatedB. would be treatedC. treatedD. had treated25. She said she didn’t like the painting, but ______ I thought it was very good.A. luckilyB. obvio uslyC. personallyD. seriously26. I _________ Mr. Simpson, the sport teacher, for my plan of exercise after school next Monday.A. am meetingB. metC. will meetD. have met27. I_________ along the street looking for a place to park when the accident__________.A. went; was occurringB. went; occurredC. was going; had occurredD. was going; occurred28. — Dr. Jackson is not in his office at the moment.— All right. I ____ him later.A. callB. have calledC. will callD. will be calling29. _____the early flight，we ordered a taxi in advance and got up very early.A. CatchingB. To catchC. CaughtD. Catch30. If you miss this chance, it may be years _____ you get another one.A. beforeB. asC. sinceD. after31. In the last few years, China ____ great achievements in environmental protection.A. had madeB. has madeC. was makingD. is making第二节完形填空（共20小题：每小题1分，共20分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
One summer weekend, my wife, son and I entered a running race on mountain tra ils(小径). When the race started, our son took off 32 , but my wife and I stayed back and ran together, enjoying the scenery. After some time, while running down a narrow, 33 trail, I walked on a big stone and had a 34 , and in the process, I jammed (挤) my toe pretty hard. I realized I’d got my toe 35 , but I didn’t take off my shoe and sock to check my 36 . Instead, my wife and I kept running.37 , after going about half the course, I realized my watch on my wrist was ___38___. Slightly discouraged, I encouraged my wife to go on 39 , and I would return to see if I could find it. After running back for some time, I 40 my broken watch off the trail.I picked it up, and quickly put it into my pocket. Then I 41 down the trail. Once I was near the end, I saw my son, who had finished 30 minutes earlier, had run back up the trail to 42 me. He ran with me to the end.43 it turned out, both my wife and son had won first place in their age groups, butI had no chance of placing. As I sat down to 44 after the race, I decided to take off my shoe and check my toe, and I found that my sock was in blood. Pain and it hurt, but there was a bright side. I 45 to receive any award in my age group, but the race 46 had a special award which was given for the most injured runner in the race.So, how does this 47 relate to you and me in everyday life? Although everyone wants to live a life of comfort, the 48 is that we often face pain and 49 . However, the key to real happiness is 50 pain into something positive. In other words, 51 can make us stronger if we let them.32. A. easily B. suddenly C. calmly D. quickly33. A. rocky B. dirty C. smooth D. unknown34. A. break B. discovery C. fall D. pain35. A. injured B. shot C. destroyed D. knocked36. A. way B. damage C. plan D. sock37. A. Hopefully B. Therefore C. Luckily D. However38. A. broken B. slow C. wrong D. gone39. A. ahead B. above C. backward D. inside40. A. placed B. hid C. noticed D. missed41. A. jumped B. walked C. drove D. hurried42. A. visit B. meet C. push D. welcome43. A. If B. So C. As D. But44. A. sleep B. rest C. stay D. shake45. A. refused B. managed C. failed D. asked46. A. organizers B. winners C. owners D. supporters47. A. problem B. news C. experience D. event48. A. hope B. idea C. reason D. truth49. A. success B. struggle C. happiness D. competition50. A. including B. turning C. throwing D. dividing51. A. difficulties B. exercises C. efforts D. skills第三部分：阅读理解（共两节，共34分）第一节（共12小题：每小题2分，共24分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
北京市2017_2018学年高一英语上学期期中试题
2017-2018学年上学期期中考试高一年级英语试题 A卷考试时间120分钟，满分150分第一卷（选择题共100分）一、听力（共两节，20个小题，满分30分）做题时，请先将答案划在试卷上。
该部分录音内容结束后，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）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答案。
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个小题。
每段对话仅读一遍。
1. What will the weather be like recently ?A.Very coldB. A lot of rainC. A bit hot and a little rain2. What does that man mean ?A.The film was interested on the wholeB.He had never seen such a terrible film.C.The film wasn’t as good as he had expected3. Where is the man going ?A.To classB. To the movieC. To the library4. What does the man imply about the shirt ?A . He hasn’t time to try it on yet.B.It doesn’t fit him very well.C.He needs a long-sleeved shirt5. What is the man going to do today?A.Have a job interview.B. Take a photo.C. See his new boss.第二节（共15小题）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。
北京101中学高一上学期期中试题及答案
北京101中2010—2011学年高一上英语期中试卷第二部分：知识运用（共两节，35分）第一节单项填空（共15小题；每小题1分，共15分）( )16. The concert was ________ a success that she became famous overnight.A. soB. suchC. veryD. too( )17. Children need friends ______ their own age to play with.A. ofB. forC. inD. at( )18. She had just finished her homework _______ her mother asked her to practice playing the piano.A. afterB. whileC. whenD. since( )19. There’s no light on—they ______ be at home.A. can’tB. mustn’tC. needn’tD. shouldn’t( )20. With the number of customers ________, the owner has to set more chairs and desks in the restaurant.A. increaseB. increasingC. increasedD. to increase( )21. Many of them turned a deaf ear to his advice, _______ they heard nothing.A. whileB. so thatC. even thoughD. as if( )22. Since I won the big prize, my telephone _______ ringing. People are phoning to ask how I am going to spend the money.A. didn’t stopB. won’t stopC. hasn’t stoppedD. doesn’t stop( )23. __________tomorrow will be John’s birthday, let’s have a party to celebrate it.A. UnlessB. IfC. SinceD. Although( )24. The fact that she was a foreigner made ______ difficult for her to get a job in that country.A. thatB. thisC. itD. one( )25. The look on his face suggested that he ______ in trouble, so I suggested that he ______to the teacher for help.A. should be, turnB. was, turnC. was, must turnD. be, turned( )26. The dictionary _____________ and it will soon come out.A. is printingB. is being printedC. is going to printD. is printed( )27. Students should be encouraged to use _______ Internet as ______ way of learning.A. /,aB. /,theC. the, theD. the, a( )28. A notice was ______ in order to remind the students of the changed lecture time.A. put upB. given upC. set upD. sent up( )29. Five people won the ―China’s Green Figure‖ award, a title _______ to ordinary people for their contributions to environmental protection.A. being givenB. is givenC. givenD. was given( )30. This kind of apple ______________ good and ____________ well.A. is tasted; is soldB. tastes; sellsC. is tasted; sellsD. tastes; is sold第二节完形填空（共20小题；每小题1分，共20分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中。
2018年北京一零一中学高一英语上学期期末试题含解析
2018年北京一零一中学高一英语上学期期末试题含解析一、选择题1. According to his letter,he had to _______ his affairs in Paris before he could return home．A．settle B．suffer C．packD．persuade参考答案：A2. My mother always gets a bit if we don’t arrive when we say we will.A. anxiousB. energeticC. patientD. embarrassed参考答案：A句意：当我们说会来却没有来时，我的母亲总是有点焦急。
A. anxious焦急的，焦虑的；B. energetic精力充沛的；C. patient有耐心的；D. embarrassed尴尬的。
根据句意可知选A。
3. If ________ in the elevator, please press the emergency button immediately.A.trappedB.being trappingC.having trappedD.to be trapped参考答案：A考查状语从句的省略。
句意：如果被困在电梯里，请立刻按紧急按钮。
使用if条件句的省略，说明主语是祈使句的you，省略了you are，you和trap是被动关系，用过去分词。
故选A。
4. In our work quality counts for ______ quantity.A. as well asB. as soon asC. as long asD. as much as参考答案：D5. It is about_____ walk from the bus stop to my house.A. ten-minute’sB. ten-minutesC. ten minuteD. ten minutes’D6. Nowadays，some young men are not________ their promise.A．true of B．true toC．truing of D．truing to参考答案：Bbe true to one’s promise信守诺言。
北京101中学2018-2019学年高二上学期期中考试英语试卷
北京 101 中学 2018-2019学年高二上学期期中考试英语试卷北京 101 中学 2018-2019 学年上学期高二年级期中考试英语试卷.本试卷分第I 卷（选择题）和第II卷（非选择题）两部分，考试分数共120 分。
考试时间100分钟。
第I 卷（共86分）第一部分：听力理解（共 20 小题；每题 1 分，共 20 分）第一节（共 5 小题；每题 1 分，共 5 分）听下边 5 段对话。
每段对话后有一道小题，从每题所给的A, B, C三个选项中选出最正确选项。
听完每段对话后，你有10 秒钟的时间往返答相关小题和阅读下一小题。
每段对话你将听一遍。
1.What is the weather like now?A. Cloudy.B. Sunny.C. Rainy.2.When are the two speakers going to meet?A. 2:30.B. 3:15.C. 3:30.3.Where are the speakers now?A. At a friend’ s house.B. At a garage.C.At the station.4.What is the possible relationship between the two speakers?A. Husband and wife.B.Assistant and customer.C.Boss and secretary.5. What is the man doing?A. Offering help.B. Demanding a reply.C.Making a complaint.第二节（共10 小题；每题 1 分，共10 分）听下边 4 段对话或独白。
每段对话或独白后有几道小题，从每题所给的A, B, C 三个选项中选出最正确选项。
听每段对话或独白前，你有 5 秒钟的时间来阅读每题。
听完后，每小题将给出 5 秒钟的作答时间。
2023-2024学年高一上学期期中考试英语试题 (含答案)
2023～2024学年第一学期期中考试高一英语本试卷共八大题，满分135分。
考试用时120分钟。
注意事项：1．答卷前，考生务必用2B铅笔在“考生号”处填涂考生号。
用黑色字迹的钢笔或签字笔将自己的班级、姓名和考生号填写在答题卡上。
2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂照：如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。
3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区城内的相应位登上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。
不按以上要求作答的，答案无效。
4．考生必须保持答题卡的整洁。
考试结束后，将答题卡交回。
Ⅰ．单项选择（共15小题；每小题1分，满分15分）1．— You will hold the house-warming party this evening, right?— Yes. The party we have looked forward to ________.A. comingB. has comeC. cameD. is coming2．Was it ________ he was playing volleyball on the playground ________ he got hurt?A. that; whenB. when; thatC. that; thatD. where; that 3．Inside ______ an exhibition of the most up-to-date inventions of the 31st century.A. hasB. haveC. wasD. were4．We forgot to bring our tickets, but please let us enter, ________?A. can youB. shall weC. can weD. will you5．I don’t think anyone will volunteer to paint such a big house, ________?A. will theyB. do IC. don’t ID. won’t they6．The medical team ________ 12 doctors, most of ________ are from Guangzhou First Peopl e’s Hospital.A. is made up of; themB. is made up of; whomC. made up of; whomD. made up of; who7．In ancient China lived an artist __________ paintings were almost lifelike.A. whoseB. hisC. whichD. who8．The most important thing ________ we should pay attention to is the first thing ________I have said.A. what; whichB. that; whichC. that; thatD. which; what9．The student who ________ in the exam was criticized seriously.A. caught cheatingB. cheatingC. was caught cheatingD. was caught cheated10．— These problems are too hard to ________. Will you give me some advice?— There are many ways. The most important is to have a careful plan.A. work outB. cut outC. give outD. break out11．Who do you guess ________ where I ________ just now?A. lie; layB. is lying; layC. lies; laidD. lied; laid12．The train ________ at 10:30, so it ________ in 10 minutes.A. is starting; leavesB. is starting; will have leftC. start; will leaveD. starts; is leaving13．This is the day ________ we spent together ________ I shall never forget.A. which; in whichB. when; whichC. /; whichD. /; when14．After college, he applied ________ a job in Shanghai, anxious to apply what he had learnt ________ the daily work.A. for, toB. to; toC. to; forD. for, for15．Tom ________ the window ________ his attention was caught by a bird.A. was about to close; whileB. was closing; whileC. was to close; whenD. was about to close; whenⅡ．阅读理解（共15小题；每小题2.5分，满分37.5分）AMost people above 16 years old have a strong wish that they should drive on the road by themselves. Thus, getting a license is an exciting time in their life. Ultimate Drivers is there to help your teen learn the rules of the road and gain important driving experience.What We OfferIntimate Drivers’ program will help students prepare for their road test and give them theskills they need to become lifelong safe and defensive drivers.The beginner program offers 20 hours of in-class training, 12 hours of homework assignments and 8 hours of in-car training. Each in-class training lasts 120 minutes and each one-on-one in-car training 80 minutes. What’s more, students can be picked up for free from home, work or school.What You Need KnowStudents can complete the classroom part of the course in just two weekends or if it better suits their schedules, they can take it during the evenings on weekdays. There are also classes offered during the holiday break.Students can start taking line classroom part of the driving training without the G1 license, but do need it by the time they’re ready to start the in-car driving lessons.What Extra Benefits AreThe beginner drivers can gain much through the program. After that they’ll receive stu dent testimonials (证明书). The testimonials show teenagers who have taken the course feel more confident in their abilities and many believe they couldn’t have passed the road test without it.Sign up before April 5th, and students can get an insurance discount (保险折扣)! 16．How many times does die program offer in-class training?A. 20.B. 12.C. 10.D. 8.17．What do students need to do to have in-car driving lessons?A. Get the G1 license.B. Finish the classroom part.C. Sign up before April 5th.D. Receive a student testimonial.18．What type of writing is the text?A. A review.B. An advertisement.C. A guide.D. An announcement.BI’ve been in an 18-year love-hate relationship with a black walnut tree.It’s a unique tree. In late September or early October, falling fruits as hard as baseballs threaten the skulls (头骨) of you, your children, your neighbors and those that reside next door to them. Umbrellas in the yard are a must while dining in early August, and as for me, I wear my bike helmet while working in the garden.The black walnut also releases a chemical substance through its roots as a competitive strategy. It’s poisonous to several common plants. There have been many new plant varieties tha t I brought home with hopes that maybe the black walnut would accept them, but they failed toflourish.What does work are native plants that naturally grow in the area. Native plants are important to have around since they provide beneficial pollinators (传粉者) like birds, bees and butterflies with seeds and contribute to a healthy and biodiverse environment. Native plants for this area are generally easy to grow, so they experience less stress.Have I thought of getting rid of this giant pain in my tiny backyard? Yes, however, getting rid of this tree standing at 50 feet with an 87-inch trunk is next to impossible. It’s also protected under the law. Rightfully so. Trees are important to the urban forest and for all of those that inhabit it.Sometimes I think about my life without the black walnut. I can’t imagine a spring without the birds who arrive every year and loudly sing their songs before dawn. I’d miss falling asleep on lazy weekend afternoons as I look up into its leaves.Every spring, I wonder what the season holds: What are the chances of being knocked unconscious while barbecuing? Like any good relationship, I’ll never be pleased. I’m stuck with this tree, so I’ll listen to its needs and give it the space it requires. In return, my walnut offers a habitat for wildlife and a reminder.19．Why does the author wear a bike helmet while working in the garden?A. To protect the injured skull.B. To prevent herself from sunburn.C. To avoid being hit by the nuts.D. To reduce the chance of getting bitten by bees.20．What is the tree’s survival strategy?A. It attracts beneficial pollinators.B. It lets out poison to drive away pests.C. It produces a chemical fatal to some plants.D. It competes for nutrition with similar species.21．Which of the following DOESN’T account for the author’s love-hate relationship with the tree?A. The volume of its fruits may bring inconvenience.B. The tree outcompetes the native plants in the garden.C. The tree is home to numerous birds and other creatures.D. The presence of the tree takes up much space of the garden.22．The author most probably got a reminder from the tree that ________.A. it’s better to give than to takeB. trees and plants have their own ways to flourishC. even a good relationship is not always trouble-freeD. acceptance, instead of resistance, is the better way to beCIt was raining like nothing before when Ehdaa Bujeldain, an English teacher living with her family in the mountains of Derna in eastern Libya , heard a loud noise that sounded like an explosion (爆炸). Later they learned that a dam (大坝) in Derna had broken down under the pressure of running water. For the next four days, they had no power or internet, and it was only recently that they started to fully understand of the damage caused by the floods.“Half of the city has been destroyed. My mom’s relatives, my friends, my coworkers ——they are all gone. Now we, the survivors, are just ghost s in shells,” says Bujeldain, whose sadness can be easily told from her blank expression.Five days have passed since the terrible flooding in Derna, Libya’s Red Crescent organization estimated that 11,300 people have died, while the city’s mayor believes the number of deaths could be as high as 20,000.Derna is a coastal city with a seasonal river called the Wadi Derna. Despite the abnormally heavy rain, people living near the river had little warning before the floodwaters came rushing in on that terrible morning. United Nations aid chief Martin Griffiths described the scale of the flood as “appalling” (令人惊骇的) and blamed the flood partly on sudden climate change.Now international aid teams are arriving in Derna, but they face challenges due to damaged roads, lack of access to power, water, and fuel. Tarhoni, doctor of the rescue team, warns that the most difficult weeks lie ahead. “One disaster is done and there is another to come,” he says. “The thousands and thousands of people who lost everything these people now need comfort, they need company, t hey need psychological support.”23．What do we know about Bujeldain’s family from paragraph 1?A. The explosion they heard led to the destruction of the dam.B. Bujeldain saved her family from the floods with her bravery.C. Bujeldain immediately recognized the outbreak of the floods.D. For several days, they didn’t fully realize the seriousness of the floods.24．What does Bujeldain mean by saying they are “just ghosts in shells” in paragraph 2?A. They run out of energy and are very tired.B. They feel lucky as they are safe and sound.C. They are completely saddened and shocked.D. They are sorry for the loss of their homeland.25．According to the passage, which of the following does NOT contribute to the loss of lives?A. The absence of warning.B. The extraordinary rainfall.C. Unexpected climate change.D. The damage to environment.26．What might be the main focus of international aid efforts in Derna?A. Addressing mental problems.B. Providing immediate medical care.C. Conducting climate change research.D. Rebuilding roads and access to resources.DBy the end of the century, if not sooner, the world’s oceans will be bluer and greener thanks to a warming climate, according to a new study.At the heart of the phenomenon lie tiny microorganisms (微生物) in the ocean called phytoplankton. Because of the way light reflects off the organisms, these phytoplankton create colorful patterns at the ocean surface. Ocean color varies from green to blue, depending on the type and concentration of phytoplankton. Climate change will fuel the growth of phytoplankton in some areas, while reducing it in other spots, leading to changes in the ocean’s appearance.Phytoplankton live at the ocean surface, where they pull carbon dioxide into the ocean while giving off oxygen. When these organisms die, they bury carbon in the deep ocean, an important process that helps to regulate (调控) the global climate. But phytoplankton are vulnerable to the ocean’s warming trend. Warming changes key characteristics of the ocean and can affect phytoplankton growth, since they need not only sunlight and carbon dioxide to grow, but also nutrients.Stephanie Dutkiewicz, a scientist in MIT’s Center for Global Change Science, built a climate model that projects changes to the oceans throughout the century. In a world that warms up by 3C, it found that multiple changes to the color of the oceans would occur. The model projectsthat currently blue areas with little phytoplankton could become even bluer. But in some waters, such as those of the Arctic, a warming will make conditions more suitable for phytoplankton, and these areas will turn greener. “Not only are the quantities of phytoplankton in the ocean changing.” she said, “but the type of phytoplankton is changing.”And why does that matter? Phytoplankton are the base of the food web. If certain kinds begin to disappear from the ocean, Dutkiewicz said, “it will change the type of fish that will be able to live on.” Those kinds of changes could affect the food chain.Whatever color changes the ocean experiences in the coming future will probably be too gradual and unnoticeable, but they could mean significant changes. “It’ll be a while before we can statistically show that the changes are happe ning because of climate change,” Dutkiewicz said, “but the change in the color of the ocean will be one of the early warning signals that we really have changed our planet.”27．What are the first two paragraphs mainly about?A. The cause of the changes in ocean color.B. The various patterns at the ocean surface.C. The way light reflects off marine organisms.D. The efforts to fuel the growth of phytoplankton.28．What does the underlined word “vulnerable” in Paragraph 3 probably mean?A. beneficialB. sensitiveC. significantD. unnoticeable 29．What can we learn from the passage?A. Dutkiewicz’s model aims to project phytoplankton changes.B. Phytoplankton have been used to control global climate.C. Phytoplankton play a declining role in the ecosystem.D. Oceans with more phytoplankton may appear greener.30．What is the main purpose of the passage?A. To explain the effects of climate change on oceans.B. To assess the consequences of ocean color changes.C. To introduce a new method to study phytoplankton.D. To analyze the organization of the ocean food chain.The Chubby Diaries creator is part of a community of larger-bodied travelers who are showing the world that they can do anything. Following them helps because you can be like, “Oh, this place works with larger bodies.” 31 .Second plane seats and belt extendersSouthwest is one of the few airlines to offer plus-size passengers a free second seat. To ensure the extra space, Southwest recommends booking both seats beforehand, then making a request to get your money back. 32 Southwest states: “The armrest is t he definitive gauge (测量仪) for a customer of size. If you’re unable to lower both armrests, you need a second seat.” Even if your frame fits between the lowered arms, you may still need a seat-belt extender.33 .Finding size nclusive tripsFor Natalie Robinson, ziplining (压缩) in Costa Rica determined her bucket list. “Literally for the last 10 years, that’s all I talked about,” said the co-owner of Fat Girls Travel. 34 . Her fortunes changed completely on an August trip to Costa Rica, when a friend found an outfitter without weight restrictions. The guide said Robinson could dash through the rainforest as long as she could reach the starting point high in the tree tops.35When researching a trip, ask about weight restrictions as well as the availability of equipment that can accommodate your size. If you have concerns, bring your own equipment. Plus-size travelers emphasize the importance of being self-sufficient. Finding special clothes and equipment can be challenging in unfamiliar destinations.A. Pack your own equipmentB. Find supportive travel groups and tripsC. Their extra efforts are paying off as they discover how to travel comfortably andconfidentlyD. Ziplining provides much convenience for those fat girlsE. Many airlines use the armrests to determine whether a passenger requires more spaceF. Air-lines provide this extra piece of equipment free, and you can request it at the time ofboardingG. But ziplining generally has a weight limit, so she hadn’t been able to do itYou might say I found marathoning, step by step. Or perhaps it found me. I was 36 an athlete growing up. In fact, I have a hard time 37 that term to myself even today.It started when I joined a group of women in my neighborhood for a daily three-mile walk. At first it was 38 . But soon, my body adjusted and I wanted 39 . Before long, I was running 5 miles. Then I set a goal to run a half marathon. And I did complete the Covered Bridges Half Marathon. I thought, “Now what?” I started to 40 a marathon.It so happened that I 41 a meeting one night and listened to the speaker and coach, Rick Muhr, and was so 42 by his words. I told him that I had signed up for the Ocean State Marathon, just a week away, and that I really didn’t believe I could 43 . Rick locked eyes with me and said, “Trish, you’ve done enough training. You’ll finish!”I never had someone 44 me like that, let alone a real, live coach. He gave me the45 I needed. I set out to run my 46 marathon and completed it in 4:25:00. Little did I know that this would be the beginning of nearly a decade of marathon and distance running. Running a marathon isn’t for everybody. But it is for anybody, anybody who wants to47 the unreachable and to take that 48 into the rest of their life. When you cross the finish line you may never have a 49 picture of what you are made of and capable of accomplishing. Your 50 of the world and, more importantly, of yourself will forever be changed!36．A. always B. rarely C. never D. nearly37．A. pointing B. applying C. turning D. spreading38．A. hard B. relaxing C. unfamiliar D. exciting39．A. some B. both C. more D. none40．A. report B. record C. recall D. consider41．A. held B. missed C. attended D. mentioned42．A. inspired B. disturbed C. embarrassed D. amused43．A. participate B. finish C. win D. run44．A. agree with B. rely on C. care for D. believe in45．A. confidence B. pleasure C. satisfaction D. motivation46．A. last B. first C. only D. second47．A. test B. identify C. imagine D. reach48．A. knowledge B. request C. principle D. experience49．A. bigger B. brighter C. clearer D. nicer50．A. view B. love C. description D. memoryⅤ．单词拼写（共15小题；每小题1分，满分15分）请用Welcome Unit～U4所学单词填空。
2017-2018学年北京市101中学高一(上)期末数学试卷(精品解析)
2017-2018学年北京市101中学高一（上）期末数学试卷一、选择题（本大题共10小题，共50.0分）1.计算：sin2π3=()A. −√32B. √32C. √22D. −√22【答案】B【解析】解：sin2π3=sin(π−π3 )=sinπ3=√32．故选：B．把所求式子中的角2π3变形为π−π3，利用诱导公式sin(π−α)=sinα化简后，再利用特殊角的三角函数值即可求出值．此题考查了运用诱导公式化简求值，以及特殊角的三角函数值，熟练掌握诱导公式，灵活变换角度是解本题的关键．2.若0<a<1，则函数f(x)=a x+6的图象一定经过()A. 第一、二象限B. 第二、四象限C. 第一、二、四象限D. 第二、三、四象限【答案】A【解析】解：当0<a<1时，由于函数y=a x经过第一、第二象限，函数f(x)=a x+6的图象是把y=a x向上平移6个单位得到的，故函数f(x)的图象一定过第一、第二象限，故选：A．根据函数y=a x经过第一、第二象限，可得函数f(x)=a x+6的图象经过的象限．本题主要考查指数函数的单调性和特殊点，指数函数的图象特征，属于基础题．3.下列函数是奇函数且在定义域内是增函数的是()A. y=e xB. y=tanxC. y=lnxD. y=x3+x【答案】D【解析】解：根据题意，依次分析选项：对于A，y=e x为指数函数，不是奇函数，不符合题意；对于B，y=tanx为正切函数，在其定义域内不是增函数，不符合题意；对于C，y=lnx为对数函数，不是奇函数，不符合题意；对于D，y=x3+x，有f(−x)=−(x3+x)=−f(x)，为奇函数，且其导数y′=3x2+1>0，在其在定义域内是增函数，符合题意；故选：D．根据题意，依次分析选项中函数的奇偶性与单调性，综合即可得答案．本题考查函数的奇偶性与单调性的判定，关键是掌握常见函数的奇偶性与单调性．4.已知函数g(x)=f(x)−x，若f(x)是偶函数，且f(2)=1，则g(−2)=()A. 1B. 2C. 3D. 4【答案】C 【解析】解：∵函数g(x)=f(x)−x，f(x)是偶函数，若f(2)=1，则f(−2)=1，g(−2)=f(−2)+2=3，故选：C．由已知可得f(−2)=1，代入可得答案．本题考查的知识点是函数的奇偶性，函数求值，难度不大，属于基础题．5.若向量a⃗，b⃗ 满足|a⃗+b⃗ |=|a⃗−b⃗ |=√m，则a⃗⋅b⃗ =()A. 0B. mC. −mD. m2【答案】A【解析】解：∵向量a⃗，b⃗ 满足|a⃗+b⃗ |=|a⃗−b⃗ |=√m，∴|a⃗+b⃗ |2=|a⃗−b⃗ |2，∴a⃗2+2a⃗⋅b⃗ +b⃗ 2=a⃗2−2a⃗⋅b⃗ +b⃗ 2，∴a⃗⋅b⃗ =0．故选：A．推导出|a⃗+b⃗ |2=|a⃗−b⃗ |2，由此能求出a⃗⋅b⃗ =0．本题考查向量的数量积的求法，考查向量的数量积公式等基础知识，考查推理论证能力、运算求解能力，考查化归与转化思想，是基础题．6.不等式3 −x2+6>3x的解集是()A. (−3,2)B. (−2,3)C. (−∞,−3)∪(2,+∞)D. (−∞,−2)∪(3,+∞)【答案】A【解析】解：不等式3 −x2+6>3x等价于−x2+6>x，∴x2+x−6<0，−3<x<2，∴不等式的解集是(−3,2)．故选：A．根据指数函数的单调性把不等式化为一元二次不等式，再求解即可．本题考查了可化为一元二次不等式的指数不等式解法问题，是基础题．7.函数y=ln(−x2+2x+3)的减区间是()A. (−1,1]B. [1,3)C. (−∞,1]D. [1,+∞)【答案】B【解析】解：令t=−x2+2x+3>0，求得−1<x<3，故函数的定义域为(−1,3)，且y=lnt，故本题即求函数t在定义域内的减区间．再利用二次函数的性质求得t=−(x−1)2+4在定义域内的减区间为[1,3)，故选：B．令t=−x2+2x+3>0，求得函数的定义域，本题即求函数t在定义域内的减区间，再利用二次函数的性质求得t=−(x−2)2+9在定义域内的减区间．本题主要考查复合函数的单调性，二次函数的性质，体现了转化的数学思想，属于基础题．8.已知函数y=Asin(ωx+φ)+B(A>0,ω>0,|φ|<π2)的周期为T，在一个周期内的图象如图所示，则正确的结论是()A. A=3，T=2πB. B=−1，ω=2C. T =4π，φ=−π6 D. A =3，φ=π6【答案】C【解析】解：由图可得：{−A +B =−4A+B=2⇒{B =−1A=3T2=4π3−(−2π3)=2π⇒T =4π，ω=2πT=2π4π=12，12×4π3+ϕ=π2⇒ϕ=−π6．故选：C ．从图象可得最大值和最小值，相邻的最大值与最小值的横坐标之差的绝对值是半个周期，可求ω，由最值求ϕ． 本题很好的考查了由函数y =Asin(ωx +ϕ)+B 的部分图象求其解析式．9. 某学生在期中考试中，数学成绩较好，英语成绩较差，为了在后半学期的月考和期末这两次考试中提高英语成绩，他决定重点加强英语学习，结果两次考试中英语成绩每次都比上次提高了10%，但数学成绩每次都比上次降低了10%，期末时这两科分值恰好均为m 分，则这名学生这两科的期末总成绩和期中比，结果( ) A. 提高了 B. 降低了 C. 不提不降(相同) D. 是否提高与m 值有关系 【答案】B【解析】解：设期中考试英语成绩为a ，数学成绩为b ，则(1+10%)2a =m ，(1−10%)2b =m ， 所以a =m1.21，b =m0.81，则a +b =m1.21+m0.81≈2.06m >2m ，所以总成绩比期中成绩降低了． 故选：B ．本题主要考查函数模型及其应用．本题考查了归纳推理的应用，和计算能力，属于比较基础的题目．10. 已知菱形ABCD 的边长为2，∠BAD =120∘，点E ，F 分别在边BC ，DC 上，BEBC =λ，DFDC =μ.若AE ⃗⃗⃗⃗⃗ ⋅AF ⃗⃗⃗⃗⃗ =1，CE ⃗⃗⃗⃗⃗ ⋅CF ⃗⃗⃗⃗⃗ =−23，则λ+μ=( )A. 12B. 23C. 34D. 56【答案】D【解析】解：由题意可得AE ⃗⃗⃗⃗⃗ ⋅AF ⃗⃗⃗⃗⃗ =(AB ⃗⃗⃗⃗⃗ +BE ⃗⃗⃗⃗⃗ )⋅(AD ⃗⃗⃗⃗⃗⃗ +DF ⃗⃗⃗⃗⃗ )=AB ⃗⃗⃗⃗⃗ ⋅AD ⃗⃗⃗⃗⃗⃗ +AB ⃗⃗⃗⃗⃗ ⋅DF ⃗⃗⃗⃗⃗ +BE ⃗⃗⃗⃗⃗ ⋅AD⃗⃗⃗⃗⃗⃗ +BE ⋅DF ⃗⃗⃗⃗⃗ =2×2×cos120∘+AB ⃗⃗⃗⃗⃗ ⋅μAB ⃗⃗⃗⃗⃗ +λAD ⃗⃗⃗⃗⃗⃗ ⋅AD ⃗⃗⃗⃗⃗⃗ +λAD ⃗⃗⃗⃗⃗⃗ ⋅μAB ⃗⃗⃗⃗⃗ =−2+4μ+4λ+λμ×2×2×cos120∘=4λ+4μ−2λμ−2=1， ∴4λ+4μ−2λμ=3①．CE⃗⃗⃗⃗⃗ ⋅CF ⃗⃗⃗⃗⃗ ⋅=−EC ⃗⃗⃗⃗⃗ −⋅(−FC ⃗⃗⃗⃗⃗ )=EC ⃗⃗⃗⃗⃗ ⋅FC ⃗⃗⃗⃗⃗ =(1−λ)BC ⃗⃗⃗⃗⃗ ⋅(1−μ)DC ⃗⃗⃗⃗⃗ =(1−λ)AD ⃗⃗⃗⃗⃗⃗ ⋅(1−μ)AB ⃗⃗⃗⃗⃗ =(1−λ)(1−μ)×2×2×cos120∘=(1−λ−μ+λμ)(−2)=−23， 即−λ−μ+λμ=−②． 由①②求得λ+μ=56，故选：D ．利用两个向量的加减法的法则，以及其几何意义，两个向量的数量积的定义由AE ⃗⃗⃗⃗⃗ ⋅AF ⃗⃗⃗⃗⃗ =1，求得4λ+4μ−2λμ=3①；再由CE ⃗⃗⃗⃗⃗ ⋅CF ⃗⃗⃗⃗⃗ =−23，求得−λ−μ+λμ=−23②.结合①②求得λ+μ的值． 本题主要考查两个向量的加减法的法则，以及其几何意义，两个向量的数量积的定义，属于中档题．二、填空题（本大题共6小题，共30.0分） 11. 计算：2 14×80.25+(−76)0+3log 32=______． 【答案】5【解析】解：2 14×80.25+(−76)0+3log 32=(2×8) 14+1+2=2+1+2=5．故答案为：5．利用指数、对数的性质、运算法则直接求解．本题考查指数式、对数式化简求值，考查指数、对数的性质、运算法则等基础知识，考查运算求解能力，考查函数与方程思想，是基础题．12. 要得到y =sin(2x −π4)的图象，只需将函数y =sin2x 的图象至少向右平移______个单位． 【答案】π8【解析】解：要得到y =sin(2x −π4)的图象，只需将函数y =sin2x 的图象至少向右平移π8个单位， 故答案为：π8．根据函数y =Asin(ωx +φ)的图象变换规律，得出结论．本题主要考查函数y =Asin(ωx +φ)的图象变换规律，属于基础题．13. 函数y =cos 2x +3cosx +2的最小值为______． 【答案】0【解析】解：函数y =cos 2x +3cosx +2， =(cosx +32)2−14．当x =−1时，y min =(−1+32)2−14=0． 故函数的最小值为0． 故答案为：0首先通过函数的关系式的恒等变换，进一步利用函数的性质求出结果． 本题考查的知识要点：函数的关系式的恒等变换，三角函数的性质的应用．14. 已知向量a ⃗ ，b ⃗ 满足|a ⃗ |=2，|b ⃗ |=√3，a ⃗ 与b ⃗ 的夹角为5π6，a ⃗ ⊥(a ⃗ +λb ⃗ )，则实数λ=______．【答案】43【解析】解：向量a ⃗ ，b ⃗ 满足|a ⃗ |=2，|b ⃗ |=√3，a ⃗ 与b ⃗ 的夹角为5π6，则a ⃗ ⋅b ⃗ =2⋅√3⋅(−√32)=−3， 由于a ⃗ ⊥(a ⃗ +λb ⃗ )， 则a ⃗ ⋅(a ⃗ +λb ⃗ )=0， 所以：4−3λ=0， 解得λ=43． 故答案为：43．直接利用向量的数量积和夹角公式求出结果． 本题考查的知识要点：向量的数量积的应用．15. 已知函数f(x)={−x +4,x ≤3log 13x,x >3，定义函数g(x)=f(x)−k ，若函数g(x)无零点，则实数k 的取值范围为______．【答案】[−1,1)【解析】解：函数f(x)={−x +4,x ≤3log 13x,x >3，可得x >3时，f(x)=log 13x 递减， 可得f(x)<−1；当x ≤3时，f(x)=−x +4递减，可得f(x)≥1， 即有f(x)的值域为(−∞,−1)∪[1，+∞)， 由函数g(x)=f(x)−k ，若函数g(x)无零点， 则f(x)−k =0无解，即f(x)=k 无解， 则k 的范围是[−1,1)． 故答案为：[−1,1)．运用一次函数和对数函数的单调性，可得f(x)的值域，由题意可得f(x)=k 无解，可得k 的范围．本题考查函数方程的转化思想和函数零点问题解法，注意运用对数函数和一次函数的单调性，考查运算能力，属于基础题．16. 已知数集X ={x 1,x 2,…,x n }(其中x i >0，i =1，2，…，n ，n ≥3)，若对任意的x k ∈X(k =1,2，…n)，都存在x i ，x j ∈X(x i ≠x j )，使得下列三组向量中恰有一组共线： ①向量(x i ,x k )与向量(x k ,x j )； ②向量(x i ,x j )与向量(x j ,x k )；③向量(x k ,x i )与向量(x i ,x j )，则称X 具有性质P ，例如{1,2，4}具有性质P ． (1)若{1,3，x}具有性质P ，则x 的取值为______(2)若数集{1,3，x 1，x 2}具有性质P ，则x 1+x 2的最大值与最小值之积为______． 【答案】13,√3,91003【解析】解：(1)由题意可得：(1,3)与(3,x)；(1,x)与(x,3)；(3,1)与(1,x)中恰有一组共线，当(1,3)与(3,x)共线时，可得x =9，此时另外两组不共线，符合题意， 当(1,x)与(x,3)共线时，可得x =√3，此时另外两组不共线，符合题意， 当(3,1)与(1,x)共线时，可得x =13，此时另外两组不共线，符合题意， 故x 的取值为：13，√3，9；(2)由(1)的求解方法可得x 1=13，√3，9， 当x 1=13时，由数集{1,3，13，x 2}具有性质P ，①若(1,3)与(3,x 2)；(1,x 2)与(x 2,3)；(3,1)与(1,x 2)中恰有一组共线，可得x 2=9，√3；②若(1,13)与(13,x 2)；(1,x 2)与(x 2,13)；(13,1)与(1,x 2)中恰有一组共线，可得x 2=√33，19；③若(3,13)与(13,x 2)；(3,x 2)与(x 2,13)；(13,3)与(3,x 2)中恰有一组共线，可得x 2=127，27；故{1,3，13，x 2}具有性质P 可得x 2=127，19，√33，√3，9，27；同理当x 1=√3时，{1,3，√3，x 2}具有性质P 可得x 2=13，√33，√34，√274，3√3，9； 同理当x 1=9时，可得x 2=19，13，√33，√3，3√3，27，81；则x 1+x 2的最大值为90，最小值为13+127=1027， 故x 1+x 2的最大值与最小值之积为90×1027=1003．故答案为：(1)13，√3，9；(2)1003．(1)由题意可得：(1,3)与(3,x)；(1,x)与(x,3)；(3,1)与(1,x)中恰有一组共线，分别求出相应的x 的值即可；(2)由(1)知，可得x 1=13，√3，9，再利用新定义验证，得到{1,3，13，x 2}具有性质P 时的x 2=127，19，√33，√3，9，27，同理分别得到{1,3，√3，x 2}以及{1,3，9，x 2}具有性质P 时的x 2的值，即可得到x 1+x 2的最大值与最小值之积． 本题考查新定义，考查平面向量共线的运用，考查学生分析解决问题的能力，难度较大．三、解答题（本大题共4小题，共40.0分） 17. 已知函数f(x)=2sin(x +π6).(I)若点P(1,−√3)在角α的终边上，求：cosα和f(α−π6)的值； (II)若x ∈[−π3,π2]，求f(x)的值域． 【答案】解：(I)点P(1,−√3)在角α的终边上， ∴cosα=22=12． f(α−π6)=2sinα=√x 2+y2=−√32． (II)由x ∈[−π3,π2]， 那么：x +π6∈[−π6,2π3].∴−12≤sin(x +π6)≤1． 故得f(x)的值域为[−1,2]．【解析】(I)根据三角函数的定义，即可求解cosα，f(α−π6)的值； (II)由x ∈[−π3,π2]，结合三角函数的性质可得f(x)的值域．本题考查三角函数的定义和函数的性质的应用，难度不大，属于基础题．18. 设函数f(x)的定义域为R +，且满足条件f(4)=1，对任意x 1，x 2∈R ﹢，有f(x 1⋅x 2)=f(x 1)+f(x 2)，且当x 1≠x 2时，有f(x 2)−f(x 1)x 2−x 1>0．(1)求f(1)的值；(2)如果f(x +6)>2，求x 的取值范围．【答案】解：(1)由f(x 1⋅x 2)=f(x 1)+f(x 2)，可得f(1)=f(1×1)=f(1)+f(1)，故f(1)=0． (2)由条件可得f(16)=f(4)+f(4)=2，由f(x 2)−f(x 1)x 2−x 1>0，可得函数f(x)在定义域R 上是增函数，再根据f(x +6)>2，可得f(x +6)>f(16)，∴x +6>16，x >10．【解析】(1)由f(x 1⋅x 2)=f(x 1)+f(x 2)，可得f(1)=f(1)+f(1)，由此求得f(1)的值． (2)由条件可得f(16)=2，再根据函数f(x)在定义域R 上是增函数以及f(x +6)>2，可得x +6>16，由此求得x 的值． 本题主要考查函数的单调性的判断，求函数的值，利用函数的单调性解不等式，属于基础题．19. 在平面直角坐标系中，O 为坐标原点，A 、B 、C 三点满足OC ⃗⃗⃗⃗⃗ =13OA ⃗⃗⃗⃗⃗ +23OB ⃗⃗⃗⃗⃗⃗ ． (1)求证：A 、B 、C 三点共线；(2)已知A(1,cosx)、B(1+sinx,cosx)，x ∈[0,π2]，f(x)=OA ⃗⃗⃗⃗⃗⋅OC ⃗⃗⃗⃗⃗ +(2m +13)|AB ⃗⃗⃗⃗⃗ |+m 2的最小值为5，求实数m 的值．【答案】解：(1)∵AC ⃗⃗⃗⃗⃗ =OC ⃗⃗⃗⃗⃗ −OA ⃗⃗⃗⃗⃗ =13OA ⃗⃗⃗⃗⃗ +23OB ⃗⃗⃗⃗⃗⃗ −OA ⃗⃗⃗⃗⃗ =23(OB ⃗⃗⃗⃗⃗⃗ −OA ⃗⃗⃗⃗⃗ )=23AB ⃗⃗⃗⃗⃗ ∴AC ⃗⃗⃗⃗⃗ //AB ⃗⃗⃗⃗⃗ ，又AC ⃗⃗⃗⃗⃗ 与AB ⃗⃗⃗⃗⃗ 有公共点A ，故A 、B 、C 三点共线． (2)∵OA⃗⃗⃗⃗⃗ =(1,cosx)，OB ⃗⃗⃗⃗⃗⃗ =(1+sinx,cosx)， ∴OC ⃗⃗⃗⃗⃗ =13OA ⃗⃗⃗⃗⃗ +23OB ⃗⃗⃗⃗⃗⃗ =(1+23sinx,cosx)，AB ⃗⃗⃗⃗⃗ =OB ⃗⃗⃗⃗⃗⃗ −OA ⃗⃗⃗⃗⃗ =(sinx,0)， 故 OA ⃗⃗⃗⃗⃗ ⋅OC ⃗⃗⃗⃗⃗ =1+23sinx +cos 2x ，|AB ⃗⃗⃗⃗⃗ |=√sin 2x =sinx ，(x ∈[0,π2])． 从而f(x)=OA ⃗⃗⃗⃗⃗ ⋅OC ⃗⃗⃗⃗⃗ +(2m +13)|AB ⃗⃗⃗⃗⃗ |+m 2 =1+23sinx +cos 2x +(2m +13)sinx +m 2=cos 2x +(2m +1)sinx +1+m 2 =−sin 2x +(2m +1)sinx +2+m 2=−(sinx −2m+12)2+2m 2+m +94，关于sinx 的二次函数的对称轴为sinx =2m+12，∵x ∈[0,π2]，∴sinx ∈[0,1]，又区间[0,1]的中点为12．①当2m+12≤12，即m ≤0时，当sinx =1时，f(x)min =m 2+2m +2．由f(x)min =5得m =−3或m =1，又m ≤0，∴m =−3； ②当2m+12>12，即m >0时，当sinx =0时，f(x)min =2+m 2， 由f(x)min =5得m =±√3，又m >0，∴m =√3．综上所述：m 的值为−3或√3．【解析】(1)利用向量共线定理证明AC ⃗⃗⃗⃗⃗ //AB ⃗⃗⃗⃗⃗ 即可；(2)利用数量积运算和二次函数的单调性即可得出．本题考查了向量共线定理、数量积运算、二次函数的单调性，考查了推理能力和计算能力，属于中档题．20. 已知函数f(x)的图象在[a,b]上连续不断.定义：f 1(x)=min{f(t)|a ≤t ≤x}(x ∈[a,b])， f 2(x)=max{f(t)|a ≤t ≤x}(x ∈[a,b])．其中，min{f(x)|x ∈D}表示函数在D 上的最小值， max{f(x)|x ∈D}表示函数在D 上的最大值．若存在最小正整数k ，使得f 2(x)−f 1(x)≤k(x −a)对任意的x ∈[a,b]成立，则称函数f(x)为[a,b]上的“k 阶收缩函数”．(I)若f(x)=sinx ，x ∈[−π2,π2]，请直接写出f 1(x)，f 2(x)的表达式；(II)已知函数f(x)=(x −1)2，x ∈[−1,4]，试判断f(x)是否为[−1,4]上的“k 阶收缩函数”，如果是，求出对应的k ，如果不是，请说明理由．【答案】解：(Ⅰ)由题意可得，f 1(x)=−1，f 2(x)=sinx ，x ∈[−π2,π2]； (Ⅱ)函数f(x)=(x −1)2，x ∈[−1,4]， 可得f 1(x)={0,1<x ≤4(x−1)2,−1≤x≤1， f 2(x)={(x −1)2,3<x ≤44,−1≤x≤3，若f(x)为[−1,4]上的“k 阶收缩函数，则f 2(x)−f 1(x)≤k(x +1)在[−1,4]上恒成立， 当−1≤x ≤1时，f 2(x)−f 1(x)=4−(x −1)2， 有4−(x −1)2≤k(x +1)在[−1,1]上恒成立， x =−1显然成立； 当−1<x ≤1时，k ≥4−(x−1)2x+1的最大值，由4−(x−1)2x+1=3−x ∈[2,4]，可得k ≥4；当1<x ≤3时，f 2(x)−f 1(x)=4， 有4≤k(x +1)在(1,3]上恒成立， 即k ≥4x+1的最大值，可得k ≥2；当3<x ≤4时，f 2(x)−f 1(x)=(x −1)2． 有(x −1)2≤k(x +1)在(3,4]上恒成立，即k ≥(x−1)2x+1的最大值，由(x−1)2x+1=(x +1)+4x+1−4∈(1,95]，可得k≥9，5综上可得k≥4，则存在k=4，f(x)为[−1,4]上的“4阶收缩函数”．【解析】(Ⅰ)利用新定义，代入计算，可得f1(x)，f2(x)的表达式；(Ⅱ)运用新定义，求得f1(x)，f2(x)，可得f2(x)−f1(x)，再由恒成立思想和参数分离，可得k的范围，即可判断存在k．本题考查新定义，考查导数知识的运用，考查学生对新问题的理解，考查学生的计算能力，属于难题．。
【英语】北京101中学2018-2019学年高一上学期期中考试试题
北京101中学2018-2019学年高一上学期期中考试英语试题本试卷分第I卷（选择题）和第II卷（非选择题）两部分，共120分。
考试时间100分钟。
第I卷选择题（共89分）第一部分：听力理解（共三节，共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。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. What’s the man’s plan for the summer?A. To be at home.B. To stay at the beach.C. To go to the mountains.2. What does the woman think of the play?A. Wonderful.B. Disappointing.C. So-so.3. What is the relationship between the two speakers?A. Workmates.B. Neighbours.C. Friends.4. Where are the two speakers?A. In a bank.B. At a store.C. At a restaurant.5. What are the two speakers talking about?A. A new movie.B. A weekend plan.C. Online shopping.第二节（共10小题；每小题1分，共10分）听下面4段对话或独白。
每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话或独白前，你将有5秒钟的时间阅读每小题。
听完后，每小题将给出5秒钟的作答时间。
每段对话或独白你将听两遍。
听第6段材料，回答第6至7题。
6. What are the two speakers looking for?A. A dress for work.B. A dress for party.C. A dress for wedding.7. What is the woman not satisfied with about the blue dress?A. The size.B. The price.C. The colour.听第7段材料，回答第8至9题。
北京市房山区普通中学2017-2018学年高一上学期期中练习英语试题 Word版含答案
北京市房山区普通中学2017-2018学年第一学期高一英语期中练习2015 .11 班级____________ 姓名___________ 学号_________第一卷（共75 分）I 听力理解(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，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 does the man mean?A. He will not open the window.B. The window can’t be opened.C. The window is already open.2. Which is the quickest way to the airport?A. By taxi.B. By bus.C. By underground3. Why does the woman want to change the shoes?A. They are not the right color.B. They are not the right style.C. They are not the right size.4. What is the woman going to do this evening?A. Go to dinner.B. Visit her sister.C. Go to the airport5. What can we learn from the conversation?A. The woman had a photo shop of her own.B. The woman developed her photos all by herself.C. The woman developed part of her own film.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。
2020北京101中学高一(上)期中英语含答案
2020北京101中学高一（上）期中英语（考试时间：100分钟，试卷满分：120分）第一部分：听力理解（共三节，共20分）第一节（共5小题；每小题1分，共5分）听下面5段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1.Wh e r e a r e t h e t w o s p e a k e r s?A.O n t h e p l a n e.A.O n t h e b u s.C.O n t h e t r a i n.2.Wh a t i s t h e w e a t h e r g o i n g t o b e l i k e t h i s w e e k e n d?A.S u n n y.B.C l o u d y.C.R a i n y.3.Wh o i s t h e w o ma n?A.Ac l e a n e r.B.As e c r e t a r y.C.Ama n a g e r.4.Wh a t w i l l t h e w o ma n p r o b a b l y d o d u r i n g t h e h o l i d a y?A.V i s i t h e r s i s t e r.B.S h o p i n h e r c i t y.C.T r a v e l i n H a n g z h o u.5.Wh y c a n’t t h e w o ma n t a k e t h e d i r e c t r o u t e?A.T h e r o a d i s u n d e r c o n s t r u c t i o n.B.T h e r i g h t-h a n d l a n e i s c l o s e d.C.T h e r e i s n o e x i t.第二节（共10小题；每小题1分，共10分）听下面4段对话或独白。
北京市西城区2017-2018学年高一英语上学期期中试题
2017-2018学年上学期高中一年级期中考试英语试卷试卷满分为150分，含卷面分5分；考试时间为120分钟第一卷(三部分，共100分)第一部分：听力(共两节，满分15分)第一节(共5小题；每小题1分，满分5分)听下面5段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. How will the woman go to the meeting?A. By bus.B. By taxi.C. By car.2. What will the woman most probably do tonight?A. Go to the theater.B. Stay at home.C. Make some plans.3. What does the man mean?A. He is a big fan of chocolate.B. He doesn't want any chocolate cake.C. He has already tried some of the chocolate.4. Where are the speakers?A. In a repair shop.B. In a camera store.C. In a photography studio.5. Why does the man say sorry?A. The house is in disorder.B. The plates and cups are broken.C. He has been away for a long time.第二节(共10小题；每小题1分，满分10分)听下面4段对话，每段对话后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话前，你将有5秒钟的时间阅读每小题。