北京师大附中2017-2018学年上学期高一年级期末考试英语试卷
北京师大附中2017-2018学年上学期高一年级期末考试英语试卷2018.1 本试卷共12页,共150分。
考试时长100分钟。
请所有选择题答案填涂到机读卡上,非选择题答案填写在答题纸上。
考试结束后,将答题纸和答题卡一并交回。
第Ⅰ卷第一部分:听力理解(共三节,30分)第一节(共5小题;每小题1.5分,共7.5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。
例: What is the man going to read?A. A newspaper.B. A magazine.C. A book.答案是A。
1. Where does the conversation take place?A. In a taxi.B. On a plane.C. On a bus.2. What is the probable relationship between the two speakers?A. Mother and son.B. Husband and wife.C. Customer and waitress.3. What is the man doing?A. Offering his help.B. Asking for a day off.C. Making an appointment.4. Who is the boss going to meet?A. Pete.B. Joan.C. Mark.5. How does the woman feel now?A. Nervous.B. Sad.C. Sick.第二节(共10小题;每小题1.5分,共15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. Why is the woman leaving for New York?A. To learn painting.B. To travel around.C. To find a job.7. What does the man think of the woman’s driving to New York?A. Comfortable.B. Exciting.C. Unbelievable.听第7段材料,回答第8至9题。
8. Which is not included in the shopping list this time?A. Peanut butter.B. Fruit.C. Milk.9. What does the woman suggest?A. Buying more cookies.B. Going shopping.C. Eating less unhealthy food.听第8段材料,回答第10至12题。
10. What happens to the man?A. He coughs badly.B. He has a headache.C. He has got a bad cold.11. Why does the man refuse to quit smoking?A. He feels nervous without it.B. It helps him to be clear-minded.C. He doesn’t think it is a problem.12. What will the man probably do next?A. See a doctor.B. Try chewing gum.C. Try tobacco replacers.听第9段材料,回答第13至15题。
13. What is the speaker doing?A. Telling stories about the park.B. Announcing the tour schedule.C. Introducing the history of the park.14. Where are the tourists between 11:00 and 12:00?A. On the boat.B. On the bus.C. On the hill.15. Where will the speaker collect the tourists?A. By the lake.B. At the east gate.C. At the north gate.第三节(共5小题;每小题1.5分,共7.5分)听下面一段对话,完成第16至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。
第二部分:知识运用(共两节,45分)第一节单项填空(共25小题;每小题1分,共25分)从每题所给的选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。
21. —Which city do you expect to live in?—I don’t mind where I live __________ there is my favorite job.A. so thatB. in caseC. as far asD. so long as22. —Lucy, how are you getting on with your writing?—I have rewritten it so many times that I wonder whether I __________ it.A. finishB. finishedC. have finishedD. will finish23. —What did Michael do after graduating from university?—He considered advertising before settling on teaching. He __________ that ever since.A. didB. doesC. has been doingD. had been doing24. —Hi, Lily, don’t forget to watch I’m a Singer at 10:00 this Friday night!—What a pity! I __________ in a plane to Hainan for a meeting then.A. will sitB. will be sittingC. am sittingD. sit25. —Lily is going to make a presentation in class this afternoon.—Oh, really? I __________ it was Michael’s turn.A. thinkB. have thoughtC. thought B. am thinking.26. —Sarah is busy adapting her novel into a movie.—Oh! No wonder I __________ her around these days.A. haven’t seenB. hadn’t seenC. didn’t seeD. won’t see27. It is so cold that you can’t go outside __________ you put on your coat.A. ifB. unlessC. onceD. when28. Remember to give your parents my regards (问候) when you __________ home.A. phonedB. phoneC. will phoneD. have phoned29. —Did you have difficulty finding Ann’s house?—Not really. She __________ us clear directions and we were able to find it easily.A. would giveB. had givenC. was givingD. have given30. __________ the students came from different countries, they got along quite well in the summer camp.A. WhileB. UnlessC. SinceD. Until31. Fortunately, she won the __________. Otherwise, she wouldn’t have the money to study in Spain.A. scholarshipB. challengeC. promotion32. When the director of China’s manned space program announced the successful __________ of Shenzhou V, everyone applauded.A. imaginationB. launchC. interview33. Natural __________ often cause a huge loss of life.A. disastersB. offeringsC. crimes34. She will make a speech to __________ her new book.A. packB. promoteC. ruin35. Good teachers are always __________ to students and their learning.A. committedB. usedC. keen36. David has never seen his father since his parents’ __________.A. designB. divorceC. disaster37. The Paralympic Games is an international sports event __________ athletes with disabilities.A. foundingB. relatingC. involving38. Many students are unwilling to answer teachers’questions when they are not __________ about their answers.A. confidentB. skillfulC. obvious39. She is __________ about her chances of winning a gold medal, for she has trained very hard.A. optimisticB. disappointedC. creative40. The painting shows a young lady who is __________ sitting by the window.A. elegantlyB. successfullyC. virtually41. If you want to find your life __________, you should learn your true self first of all.A. patternB. purposeC. poetry42. He’s very __________ and goes to church twice a week.A. creativeB. religiousC. scientific43. It’s a tradition in our school for Senior students to have __________ training in August in Shi Jiazhuang.A. militaryB. historicalC. nuclear44. The snowy weather has caused __________ on the roads.A. sweatB. angerC. chaos45. Jean is very __________ her weight, so she is careful about what she eats.A. generous withB. conscious ofC. pessimistic about第二节完形填空(共20小题;每小题1.5分,共30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。
北京市海淀区2017-2018学年高一上学期期末考试英语试题(有答案)
北京市海淀区2017-2018学年第一学期高一期末英语试题学校_______________ 班级_________________ 姓名____________成绩_______________第二部分:知识运用(30分)第一节单项填空(共15小题;每小题1分,共15分)从每题所给的A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。
21. People ______ be careful when using Wi-Fi, for some networks may not be safe.A. shouldB. couldC. wouldD. might22. If today were the last day of my life, I _____something quite different.A. would doB. will doC. am going to doD. was going to do23. Sophie, ____ has been doing research on AI, is going to going to give us a speech today.A. whichB. thatC. whoD. whom24. The young man ______much of his money to the Hope Project in the past ten years.A. contributedB. has contributedC. is contributedD. is being contributed25. The first part of the story is hard to understand, _____the last part is quite easy.A. whileB. forC. sinceD. as26. Parents __________ child was newly born might get a paper cut of children for present.A. whoB. whomC. whoseD. which27. If facts ____in logical groups, people will understand and remember them better.A. giveB. are givenC. will giveD. will be given28. –I didn’t know you were so good at Beijing Opera.---Thanks. I _____Beijing opera for several years when I was a child.A. have learnedB. had learnedC. am learningD. learned29. Paper cuts of animals have been found in tombs ____date back over 1,500 years.A. whatB. whoC. whereD. which30. ________a book better, you need to learn something about the author.A. UnderstandingB. UnderstoodC. To understandD. Understand31. ______ Mary is busy, she can’t go to the movie.A. SoB. ThoughC. SinceD. Unless32. I’ve been doing a lot of research for my project _______ I can find something new.A. even ifB. so thatC. as ifD. now that33. ---Was David’s speech successful?---I suppose so. He ________ it will the last minute.A. was practicingB. has practicedC. will practiceD. had practiced34. ______there were a few problems, the meeting still went well.A. BecauseB. AlthoughC. YetD. As35. The singer invited her fans to sing along ______every song she would sing.A. inB. atC. onD. to第二节完形填空(共15小题;每小题1分,共15分)阅读下面一篇短文,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。
北京师大附中2018-2019学年下学期高一年级期末考试英语试卷 word有答案
北京师大附中2018-2019学年下学期高一年级期末考试英语试卷本试卷有八道大题,考试时长120分钟,满分140分。
第一卷第一部分:听力理解(共20小题,每小题1分,共20分)第一节1. Where is the man?A. At a repair shop.B. At the cleaner's.C. At the post office.2. What is the woman trying to do?A. Get some small change.B. Find a shopping center.C. Find a parking center.3. What is the man doing?A. Asking for permission.B. Offering information.C. Making an invitation.4. How does the man feel about the news?A. Pleased.B. Uninterested.C. Doubtful.5. What are the speakers talking about?A. A vacation abroad.B. An exciting experience.C. An imaginary situation.第二节听下面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. Where are the two speakers?A. In a school.B. In a hotel.C. In a bank.7. What will the woman do at 3 o'clock tomorrow?A. Make an appointment.B. Take a test.C. Fill out some forms.听第7段材料,回答第8至9题。
北京市海淀区2017-2018学年高一上学期期末考试英语试题及答案
2018.1听力理解一、听对话,选图。
1. C2. B3.A4.C5.A二、听对话或独白,选择答案。
6. B7. A8.C9. C 10. A 11.B 12. C 13.A 14. B 15. B三、听对话,记录关键信息。
16. Smith te/late 18. white 19. 6229136857 20. Riverside评分标准:16、18、20题大小写错误每两个扣0.5分;一处大小写错误不扣分; 17题大小写均可。
知识运用一、单项填空21. A 22. A 23. C 24. B 25. A 26. C 27. B 28.D 29.D 30.C31. C 32. B 33. A 34. B 35. D二、完形填空36. A 37. D 38.B 39. B 40. C 41.D 42.C 43.C 44.B 45. A 46.C 47.A 48.A 49. D50.B阅读理解51.C 52.B 53.A 54.D 55. D 56.B 57.C 58.B 59. A 60.D61.B 62.D 63. D 64. C 65. APossible version 1:On behalf of our class, I’d like to introduce our class logo to you. Specifically, it consists of three images: the sun, the sea and a sailing boat. The sailing boat is heading for its destination at full speed on the wavy sea with the sun rising above the horizon in the background.The design is rich in meaning, which in turn mirrors the image of our class. As you can see, the whole class is forging ahead to our goal and our bright future steadily and smoothly as the sailing boat indicates. However, there is more to it. The voyage to our destination may not always be smooth since the sea may get wavy and wind will be against us, but we will face the waves and the storm bravely and try our best to get the boat on its track and to its destination. As senior students, we will come across many challenges along the way to pursue our dreams, such as obstacles in study, or interpersonal relationships, but we will always face them and tackle them unwaveringly. That’s exactly the spirit of our class and the spirit we hope each of us can carry with us during our lifetime. With the spirit, we also believe each one of us will be growing healthily and optimistically under the warm sunshine.I am sure you will feel in person what the class logo symbolizes in this aspiring and unwavering family. Hope you enjoy your stay with us. Thank you!Possible version 2:Ladies and gentlemen,Welcome to our class. What you are looking at is our class logo, which is made up of the sea, a sail and the sun. The sea is a symbol of our life, the sun is our hope and direction, while the sail can be compared to ourselves. The logo carries our hope that we will sail through the sea of our life smoothly. Of course, we understand that life won’t be easy, therefore we hope we will always have the courage and strength to face whatever comes in our way.Hope you enjoy your stay with us. Thank you!附录二:听力文稿第一节W: What time is it now?M: My watch says it’s a quarter to five. But it is ten minutes fast. So it should be 4:35.W: Thanks.M: Have you heard about the new movie that is going to be on next month?W: Yes, it is expected to be a big hit because of the special effect.M: Oh, the action effect is also good, but what I like best is the story itself.W: Hi, James, a full schedule today again, right?M: Yes, exactly. I need to make preparations for a meeting, and then get some paperwork done.What about you?W: I have an interview in the afternoon.M: There is a traffic accident at the crossroads.W: Oh, is there any other road that is less crowded? I don’t want to miss the plane!M: I wish I could find one, but we can do nothing but wait. I’m very sorry.W: I know the museum cafeteria isn’t open yet, but these paintings of food look so real. They are making me hungry!M: Me too. Let’s go find a restaurant outside and come back later.第二节到此结束。
2023北京北师大附中高一(上)期末英语(附解析)
2023北京北师大附中高一(上)期末英语考生须知1.本试卷有八道大题,共13页。
考试时长120分钟,满分150分。
2.考生务必将答案填写在答题卡上,在试卷上作答无效。
3.考试结束后,考生应将答题卡交回。
一、听力。
本大题共三节,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. How will they go to the city center?A. By taxi.B. By subway.C. By bus.2. What does the man suggest the woman do?A. Eat outside.B. Buy a sandwich.C. Listen to music.3. How did the man feel after seeing the movie?A. Excited.B. Sad.C. Frightened.4. What is the woman going to do?A. Read the notice.B. Donate money.C. Go back home.5. Why is the woman worried?A. Her mother doesn’t know Jack.B. Something private is in the message.C. The message is sent to the wrong person.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。
北京师大附中2014-2015学年上学期高一年级期末考试英语试卷 后有答案
北京师大附中2014-2015学年上学期高一年级期末考试英语试卷试卷说明:本试卷满分150分, 考试时间为100分钟。
第I卷一、听力理解。
(每小题1.5分, 共30分)第一节听下面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. Where does the conversation probably take place?A. In the woman‟s house.B. in a hotel.C. In a restaurant.2. How much extra money does the man need to pay?A. $7.5.B. $1.5.C. $0.5.3. What is the man doing?A. Weighing a sweater.B. Posting a package.C. Buying a gift.4. What will the boy do first?A. Meet Ben.B. Do shopping:C. Go to the library.5. Why does the man talk with the woman?A. To know what to do to a text bookB. To tell her about a printing problem.C. To ask her to review a textbook.第二节听下面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. How did the man travel around the world?A. By car.B. By motorbike.C. By train,7. Why didn‟t the man choose cycling?A. It was a bit boring.B. It was not adventurous.C. It was unpractical sometimes.听第7段材料, 回答第8至9题。
北京市师大附中2017-2018学年高一英语下学期期末考试试题(无答案)
北京市师大附中2017-2018学年高一英语下学期期末考试试题(无答案)第一部分听力(每小题1分,共20题,满分20分)I.Pictures看图辨义(每小题1分,共6小题,满分6分)Listen to the questions. Then choose the best answer according to each picture.A.1. __________2. __________B.3. __________4. __________C.5. __________6. __________II. Best Response最佳回应句(每小题1分,共5小题,满分5分)Choose the best response to each question or statement.7. A. I think Italy is a good choice.B. We can see a movie in the mall.C. I’d like to see more of the area.D. We should apply for our visas in advance.8. A. There are always fights on the street.B. The air is so bad you can taste it.C. Many people don’t finish school.D. Almost nobody has any money.9. A. Is this because of the unexpected rain?B. Is this because of the final exam?C. Is this for the rest of the year?D. Is this for a new semester?10. A. I also love to visit urban areas.B. I also love living in the suburbs.C. I also enjoy time in city parks.D. I also like going to mountains.11. A. Are you studying with me this year?B. Are you taking basic classes again?C. Are all of your classes in the evening?D. Are all of your classes hard this time?III. Short Conversations简短会话(每小题1分,共5小题,满分5分)Listen to the conversations. Then answer the questions.12. A. The woman makes noodle advertisements.B. Stores sell long noodles & shells.C. Italian noodles are the only ones to buy.D. The man’s favorite food is pasta.13. A. Views from their upcoming cruise.B. Nightlife in an exotic foreign country.C. A detailed list of native Alaskan animals.D. African animals they will see.14. A. More young people than old people buy hair dye.B. Only people wanting to look young use dye.C. People buy hair color to look younger.D. People who color their hair report success.15. A. She can only get into morning classes.B. Students with fresh catalogs choose better.C. Catalog classes are available online.D. First year students take basic classes.16. A. Women are smarter than men.B. Good wives give good advice.C. Female leaders are better than kings.D. Queens stay married longer.IV. Long Dialogue简短对话(每小题1分,共2小题,满分2分)Listen to the dialogue. Then choose the best answer to each question.17. A. His dog is very sick.B. He sells cute pet dogs.C. He is a trainer for young puppies.D. His dog helps him because he can’t see.18. A. She will hinder his work.B. She might get bitten.C. She is allergic to dogs.D. She can’t see the dog.V. Short Talk短文理解(每小题1分,共2小题,满分2分)Listen to the talk. Then choose the best answer to each question.19. A. You’ll see what fish eat.B. You’ll see how fish get caught.C. You’ll see what fish are good to eat.D. You’ll see how long fish can live.20. A. It will float to other places.B. It provides food for the fish.C. It gives people something to do.D. It will hurt the fish.第二部分知识运用(共两节,45分)第一节单项填空(每小题1分,共15小题,满分15分)21. I don’t think Sarah will ever forgive me ________ telling Tom her secret.A. forB. withC. ofD. in22. With the world changing fast, we have something new ________ all by ourselves every day.A. deal withB. dealt withC. to deal withD. dealing with23. Mary listens to news every day so as ________ what’s going on.A. finding outB. to find outC. dreaming upD. to dream up24. She’d l ived in Shanghai and Hongkong, but she liked ________ and moved to Beijing.A. neitherB. bothC. noneD. either25. The museum ________ a number of original artworks.A. is includingB. includesC. is containingD. contains26. Experiments of this kind ________ in both the U.S. and Europe well before the Second World War.A. have conducted B have been conductedC. had conductedD. had been conducted27. With so many tests to take, the 10th graders ________ their performance.A. are concerned withB. concerned withC. are concerned aboutD. concerned about28. Don’t forget ________ the students that we will leave for Guangzhou on July 6.A. tellingB. to tellC. having toldD. to have told29. The school demands that the students ________ the honor code in their various tests.A. to followB. followingC. followD. followed30. It is no use ________ over the spilled milk.A. cryB. cryingC. to cryD. cried31. There was such a long queue for coffee at the interval that we ________ gave up.A. eventuallyB. unfortunatelyC. generouslyD. purposefully32. A new problem ________ with the new computer.A. has risenB. has arisenC. has raisedD. has lifted33.---There is a story here in the paper about a 110-year-old man.---My goodness! I can’t imagine ________ that old.A. to beB. to have beenC. beingD. having been34. They ________ to climb the mountain in the rain, but failed.A. attemptedB. managedC. wishedD. hoped35. ---Excuse me, sir, is the swimming pool open all day?---________. Only from6:00 pm.to 10:00 pm.A. That’s rightB. Yes, of courseC. Sorry, I am not sureD. Sorry, I’m afraid not第二节完形填空(每小题1.5分,共20小题,满分30分)My fiance(未婚夫)and I were excited about shopping for our first home. But our money was 36 and none of the houses in our price range seemed satisfactory (令人满意的). One agent 37 a house in particular. Although her description sounded wonderful, the price was 38 our range, so we declined. But she kept urging us to have a look 39 .We finally did and it was 40 at first sight. It was “Our Home”, small and charming, overlooking a quiet lake. Walking through the rooms and talking with the owners, a nice elderly couple, we felt the warmth and 41 of the marriage within that home. As perfect as it was, the price remained too high for us. But every day, we would sit by the lake, looking at the house and dreaming of 42 it would be like to live there.Days later, we made a(n) 43 —far below the asking price. Surprisingly, they didn’t 44 us. They renewed their offer 45 . It was also much more than we could afford, but far 46 than the original asking price.The next day, we got a 47 message that another buyer had offered a much higher price. Even so, we decided to talk with the 48 directly. We made our final offer, which 49 was thousands of dollars less than the other buyer’s bid. We knew it, 50 we had to try.“Sold!” said the owner. Th en he 51 . He’d seen us sitting by the lakeall those times; he knew how much we loved the place and that we’d 52 the years of work they had put into their home; he realized he would take a 53 by selling it to us, but it was worthwhile; we were the people they wanted to live there. He told us to consider the 54 in the price “an early wedding present.”That’s how we found our home and how I learned that when people are 55 , they are not strangers, only friends we haven’t met yet.36. A. needed B. large C. enough D.limited37. A. recommended B. bought C. sold D. rented38. A. below B. within C. beyond D. between39. A. at most B. at least C. at times D. at hand40. A. relief B. concern C. love D. curiosity41. A. pride B. challenge C. happiness D. desire42. A. what B. why C. that D. which43. A. effort B. profit C. promise D. offer44. A. laugh at B. look after C. depend on D. come across45. A. indeed B. instead C. aside D. apart46. A. worse B. less C. better D. higher47. A. relaxing B. regular C. pleasant D. disappointing48. A. agents B. buyers C. owners D. managers49. A. still B. already C. generally D. ever50. A. so B. or C. for D. but51. A. apologized B. explained C. criticized D.complained52. A. appreciate B. analyze C. check D. ignore53. A. lead B. risk C. chance D. loss54. A. increase B. interest C. difference D. average55. A. smart B. kind C. polite D. energetic第三部分:阅读理解(共两节,32分)第一节(每小题2分,共11小题,满分22分)AImagine that you live in a world of darkness, which would make going anywhere a challenge. Some who live in this world have a person to be with them wherever they go. Some use a white cane, which is a signal that they are blind. Others choose to use a guide dog, which is where the Huikuang Guide Dog School Taiwan enters the picture. This organization began to breed, raise and train guide dogs for blind people in Taiwan starting in 1991.In addition to breeding puppies, the school’s intensive program includes training these puppies to become guide dogs. Besides being trainable, guide dogs must have a suitable personality. Choosing the right breeds is an important part of the process. A golden retriever and Labrador mix represents the highest percentage of guide dogs. This is because of the ability to combine the best features of both breeds. The result is a dog that is calm in nature, willing to work and with a fabulous personality. These features best suit the majority of guide dog owners.All breeds must be hardworking, used to people and animals and not afraid of noise or crowds. This is especially true for those in busy modern city environments. Additionally, these guide dogs must never be allowed to eat human food. If they do, they may become easily distracted by different food smells and put their owners in danger.56. What has the Huikuang Guide Dog School Taiwan done for blind people?A. Helped them come out of a world of darkness.B. Helped them find a person to guide them.C. Helped them become more independent.D. Helped them signal that they are blind.57. What qualities do people look for in guide dogs?A. Fun-loving and hardworking.B. Hardworking and peaceful.C. Noisy and playful.D. Fearful and people-loving.58. Why are guide dogs only allowed to eat dog food?A. So they don’t expose their owners to threats.B. So they can guide more easily.C. So they don’t eat a bad mix of food.D. So they don’t lose their best feature.BThere once lived a wise old King who surrounded himself with wise elders to advise him. However, the King’s son didn’t like seeing the old people around. “They don’t like to try new things,” he said. But re ally he was bothered that the old people reminded him that his father was aging.The King became ill and died, and the young prince became King. When he was crowned, he surrounded himself with youth. Everyone was forced to send their aged parents far away. But one young advisor hid his father.Then a messenger from a nearby kingdom arrived. He said, “My master wants to know which end of this stick comes from the higher part of the tree. Answer incorrectly and he will conquer you and make you all slaves! You have seven days.”The king said to his advisors, “Bring me the answer so we can avoid war!” But they hadn’t tended the soil or worked in the forests, so they had no answer.Six days passed. The advisor who had hid his father told his father the riddle.“Do as I say, and our kingdom will remain at peace,” his father replied.The next morning, the advisor told the King, “Order a bowl of water.” When it arrived, the advisor put the stick into the water. One end sank while the other end stuck up.“The end that is higher grew higher on the tree.” The messenger smiled anddeparted to tell his master and avoid a war.“How did you know the answer?” asked the King.“I hid my father and asked him. His wisdom saved our kingdom,” the advisor responded.“I was wrong,” said the young King. “I see the value of being old and wise.”All the elders were brought back and honored by everyone.59. Why did the old King have older people as advisors?A. Because he liked the elderly.B. Because he didn’t like young people.C. Because they had a lot of knowledge.D. Because young people know a lot.60. Why did the young King change advisors?A. Because he thought old people weren't smart.B. Because he didn’t like the thought of growing old.C. Because he felt younger people were wiser.D. Because he wanted to feel younger than he was.COpen Letter to an EditorI had an interesting conversation with a reporter recently---one who works for you. In fact, he’s one of your best reporters. He wants to leave.Your reporter gave me a copy of his resume(简历)and photocopies of six stories that he wrote for you. The headlines showed you played them proudly. With great enthusiasm, he talked about how he finds issues, approaches them, and writes about them, which tells me he is one of your best. I’m sure you would hate to lose him.Surprisingly, your reporter is not unhappy. In fact, he told me he really likes his job. He has a great assignment(分工), and said you run a great paper. It would be easy for you to keep him, he said. He knows that the paper values him. He appreciates the responsibility you’ve given him, takes ownership of his profession, and enjoys his freedom.So why is he looking for a way out?He talked to me because he wants his editors to demand so much more of him. He wants to be pushed, challenged, coached to new heights.The reporter believes that good stories spring from good questions, but his editors usually ask how long the story will be, when it will be in, where it can play, and what the budget is.He longs for conversations with an editor who will help him turn his good ideas into great ones. He wants someone to get excited about what he’s doing and to help him turn his story idea upside down and inside out, exploring the best ways to report it. He wants to be more valuable fo r your paper. That’s what you want for him, too, isn’t it?So your reporter has set me thinking.Our best hope in keeping our best reporters, copy editors, photographers, artists—everyone—is to work harder to make sure they get the help they are demanding to reach their potential. If we can’t do it, they’ll find someone who can.61. Who probably wrote the letter?A. A readerB. An artistC. A reporterD. An editor62. What does the reporter want most from his editors in their talks?A. Finding the news value of his stories.B. Giving him financial support.C. Improving his good ideas.D. Helping him to find issues.63. The letter aims to remind editors that they should ________.A. keep their best reporters at all costsB. give more freedom to their reportersC. appreciate their reporters’ working styles and attitudesD. be aware of their reporters’ professional developmentDThey are the sort of friends who are so close that they trust each other with their lives. If one falls, the other is there to catch him.They are Wellman, whose legs were permanently injured nine years ago in arock-climbing accident and Corbett, an experienced rock climber. Together, they climbed up Half Dome, the famous 2,000-foot rock in the Yosemite National park, through one of the most difficult routes(路线).During the climb, Corbett took the lead, hit in the metal spikes(尖状物)that guided the ropes and climbed up. Then, after Wellman pulled himself up the rope, Corbett went down to remove the spikes and climbed up again. This process was repeated time and again, inch by inch, for 13 days. Wellman’s job was not easy either. He got himself up the rope through upper body strength alone. In all, Wellman figured (计算)that he had done 5,000 pull-ups up the rope on the climb.Howev er, when the two men first met, they never talked about climbing. “He knew that was how I got injured.” Wellman said. Until one day, Wellman decided that he wanted to climb again and they started training.Their climb of Half Dome was not all smooth. At one point, pieces of rock gave way, and Corbett dropped down quickly. Wellman locked their rope in place, stopping the fall at 20 feet. His quick action probably saved his friend’s life.“Your partner can save your life—you can save your partner’s life.” Wel lman said as the pair received congratulations from friends. “There are real close ties.”64. Which of the following was a challenge for Corbett in climbing Half Dome?A. To climb up to remove the spikes.B. To climb it twice.C. To do 5,000 pall-ups up the rope.D. To lock the rope in place.65. Why did the two men never talk about climbing when they first met?A. Corbett didn’t want to hurt Wellman.B. Wellman had lost interest in climbing.C. Corbett was poorly trained.D. Wellman hadn’t decided w hether to climb again.66. The main idea of the text is that ________.A. two heads are better than oneB. the disabled should never give upC. friendship is precious in lifeD. a man can be destroyed but cannot be defeated第二节七选五(每小题2分,共5小题,满分10分)Social MediaSocial media can be defined(解释)as web-based and mobile media that are used for people to interact, connect and communicate with each other. It often involves the creation and sharing of content (writing, pictures, and video) that people make themselves, mostly through the Internet.67 The first type involves people getting together to work on a project, for example, Wikipedia. Blogs and micro-blogs (such as Twitter) are another type of social media. There are other websites like You Tube that allow people to share content such as pictures, articles or videos. 68 These sites allow people to stay in touch with friends, make new ones and join communities. Facebook is an example of this type. Many people like to play games on the Internet and, yes, there are social media games as well. These games allow gamers to interact with each other and play with or against other gamers. 69 The final type of social media is websites like Second Life, where people can create avatars(化身)and use and create objects, as if they were in the real world.Social media are different from traditional media. With social media, many individual people in different places create content.Another difference is that people who produce content in social me dia don’t need very special skills. 70 It takes only a few minutes to write a twitter post, for example.71 But whatever you might think, social media is here to stay.A. Another type of social media are social networking sites.B. Social media is one of the fastest-growing industries in today’s world.C. Some people think social media is good and some think it is bad.D. In traditional media, people need special skills to produce something.E. And social media content can be produced much faster.F. In general, there are six different types of social media.G. World of Warcraft is a good example.第四部分单词拼写(每小题1分,共8小题,满分8分)根据句意及所给首字母或中文提示,每空填入一词,使句子通顺、句意合理。
北京师大附中高一英语上学期期末考试试卷新人教版【会员独享】
北京师大附中2011-2012学年高一上学期期末考试英语试卷满分150分,考试时间100分钟第Ⅰ卷第一部分:听力理解(共三节,30分)第一节(共5小题:每小题1.5分,共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。
听完每段对话后,你将有10秒钟的时间回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What has the man already bought?A. A wallet.B. A jewel.C. A sewing machine.2. Where are the speakers?A. At an apartment.B. At a coffee bar.C. At a hotel.3. What do we know about the woman?A. She found a new job.B. She prepared the food.C. She appreciated the man’s help.4. What is the most probable relationship between the speakers?A. Teacher and student.B. Boss and workerC. Colleagues.5. How will the woman probably contact Mr. Nordby?A. Over the telephone.B. Through a letter.C. On the Internet.第二节(共10小题;每小题1.5分,共15分)听下面3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。
听每段对话或独白前,你将有5秒钟的时间阅读各个小题。
听完后,各小题将给出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。
【名校名卷】北京师大附中2017-2018学年上学期高二年级期末考试英语试卷
【名校名卷】北京师大附中2017-2018学年上学期高二年级期末考试英语试卷试卷说明1. 考试时间100分钟,试卷满分120分。
2. 完形填空和阅读理解答案按题号填涂在机读卡上,其他答案填写在答题纸上,填写在试卷上无效。
3. 考试结束后,收机读卡和答题纸。
第一部分听力理解(共10小题;每小题1分,共10分)你将听到两段听力材料,请根据所听内容填空,每空仅填写一个词。
每段听力材料读两遍。
Task 1How Will You “Ring in the New Year”?Everyone around the world celebrates the New Year differently and at different times. Many Asian cultures celebrate the Lunar New Year. In India, the Hindu (印度教)New Year comes in __1__ or May.People have many different ways of ringing out the old and ringing in the new. But why are __2__ linked to the calendar change?√ The website explains that they serve as a beautiful __3__ introducing a new year to be spent together as a community of families.√ In Japan, Budd hist (佛教)temples around the country begin ringing out the old year.Each ring stands for each of the earthly __4__ a Buddhist must try to overcome—all 108 of them.√ Those who aren‟t religious but a little superstitious (迷信的)believe that the rings at midnight can scare off bad __5__.Task 2Goucher Prison Education Partnership (GPEP)is a program with Goucher College, a private university located north of the city of Baltimore. With GPEP and programs like it, inmates (prisoners)can use their time in prison to make progress towards their first college __6__.Rena Sard is one example. Last January, Sard finished her sentence. Officers tell her that she is a completely different person than the one who entered the prison. She believes it was GPEP that helped give her the __7__ to be a bett er person and the __8__ to do something with her life.Along with the women‟s prison where Sard was, GPEP has partnered with the Maryland Correction Institute Jessup, a prison for men. During the program‟s five-year __9__, it has grown from 15 students to around __10__.第二部分完形填空(共20小题;每题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。
北京师范大学附属中学2017-2018学年高一上学期期末考试数学试题(含精品解析)
2017-2018学年北京师大附中高一(上)期末数学试卷一、选择题(本大题共8小题,共40.0分)1.如果cosθ<0,且tanθ>0,则θ是( )A. 第一象限的角B. 第二象限的角C. 第三象限的角D. 第四象限的角2.下列函数中,在R 上为奇函数的是( )A. B. C. D. f(x)=cosxf(x)=sinxf(x)=e x f(x)=lgx 3.函数的一个对称中心是( )f(x)=sin(x ‒π4)A.B. C. D. (π2,0)(π4,0)(‒π4,0)(‒π2,0)4.设全集U =R ,集合,B ={x |ln x >0},则A ∩B =( )A ={x|12<2x <8}A. B. C. D. (‒1,+∞)(‒1,3)(1,3)(1,+∞)5.已知a =2log 32,b =log 35,,则( )c =(13)0.2A. B. C. D. c <b <aa <b <c b <a <c c <a <b 6.已知,则“”是“”的( )π3<α<πα=π2sin(α+π6)=32A. 充分不必要条件B. 必要不充分条件C. 充分必要条件D. 既不充分也不必要条件7.把函数的图象经过怎样的平移可得到函数y =cos3x 的图象( )y =cos(3x ‒π4)A.向左平行移动个单位 B. 向右平行移动个单位π4π4C.向左平行移动个单位 D. 向右平行移动个单位π12π128.设f (x )是定义在R 上的函数,且对任意实数x ,有f (x +7)•f (x )=-1.当0≤x <7时,f (x )=log 2(9-x ),则f (-100)的值为( )A. B.C. D. 2‒1212‒2二、填空题(本大题共6小题,共30.0分)9.计算:=______.log 124+(‒8)2310.当时,函数f (x )=tan x 的值域为______.x ∈(π3,π2)11.角α终边上一点的坐标为(1,2),则tan2α=______.12.已知a >0,则不等式ax 2+(1-a )x -1<0的解集为______.13.若存在x >0,使得,则实数a 的取值范围是______.x +2x ‒a <014.已知函数y =f (x )是定义在区间[a ,b ]上的增函数,其中a ,b ∈R ,且0<b <-a .设函数F (x )=|f (x )|-|f (-x )|,且F (x )不恒等于0,则下列命题中正确的是______(写出所有正确命题的序号)①F (x )的定义域为[-b ,b ];②F (x )是奇函数;③F (x )的最小值为0;④F (x )在定义域内单调递增.三、解答题(本大题共6小题,共80.0分)15.已知,且α∈(0,π).sinα‒cosα=12(Ⅰ)求cosα;(Ⅱ)求的值.sin(α+π4)sin2α+cos2α+116.已知函数.f(x)=sin 2x +3sinxcosx (Ⅰ)求;f(3π4)(Ⅱ)当时,求函数f (x )的最值及对应x 的值.x ∈[0,π2]17.已知函数的部分图象如图所示,N 为f (x )图象的一个最f(x)=Asin(ωx +φ)(A >0,ω>0,|φ|<π2)高点,M 、Q 为f (x )图象与x 轴的交点.(Ⅰ)若,,求函数f (x )的解析式;M(π6,0)N(5π12,3)(Ⅱ)在(Ⅰ)的条件下,求函数f (x )的单调递减区间;(Ⅲ)若△MNQ 为直角三角形,求A •ω的值.18.某港口的水深y (单位:m )是时间t (0≤t ≤24,单位:h )的函数,下面是该港口的水深表:t 0…3…9…15…y 10…13…7…13…经过长时间的观察,描出的曲线如图所示,已知该曲线可近似的看成函数y =A sinωt +B 的图象.(Ⅰ)试根据水深表和曲线,求A ,ω,B 的值;(Ⅱ)一般情况下,船舶航行时船底同海底的距离不少于4.5m 时是安全的.如果某船的吃水深度(船底与水面的距离)为7m ,那么该船在什么时间段能够安全进港?若该船欲当天安全离港,它在港内停留的时间最多不能超过多长时间?(忽略离港所用的时间)请说明理由.19.已知函数.f(x)=ln x ‒2x +2(Ⅰ)若f (a )=1,求a 的值;(Ⅱ)试判断函数f (x )的奇偶性,并证明你的结论;(Ⅲ)写岀方程f(x)=sin x+2根的个数(不需证明).20.给定函数f(x),对于实数t,若存在a>0,b>0,满足:对任意的x∈[t-a,t+b],|f(x)-f(t)|≤2,则记a+b的最大值为H(t).(Ⅰ)是否存在函数f(x),使得H(t)是R上的常值函数?试说明理由;(Ⅱ)若f(x)=x2,当t∈[l,2]时,①求函数H(t)的解析式;②求函数H(t)的值域.答案和解析1.【答案】C【解析】解:∵cosθ<0,∴θ是第二、第三象限角或x负半轴角,又tanθ>0,∴θ是第一或第三象限角,∴θ是第三象限角.故选:C.根据三角函数的符号,判断θ是哪一象限角即可.本题考查了根据三角函数值判断三角函数符号的应用问题,是基础题目.2.【答案】B【解析】解:对于A,f(x)是偶函数,对于B,f(x)是奇函数,对于C,D,f(x)是非奇非偶函数,故选:B.根据函数的奇偶性的定义判断即可.本题考查了函数的奇偶性,熟练掌握函数的单调性的定义是解题的关键.3.【答案】B【解析】解:令x-=kπ,k∈Z,求得x=kπ+,故函数的对称中心为(kπ+,0),令k=0,可得函数的一个对称中心是(,0),故选:B.利用正弦函数的图象的对称性,求得函数的一个对称中心.本题主要考查正弦函数的图象的对称性,属于基础题.4.【答案】C【解析】解:∵=(-1,3),B={x|lnx>0}=(1,+∞),∴A∩B=(1,3).故选:C.求解指数不等式和对数不等式化简A,B,再由交集运算得答案.本题考查指数不等式与对数不等式的解法,考查交集运算,是基础题.5.【答案】D【解析】解:∵1=log33<a=2log32=log34<b=log35<log39=2,<()0=1,∴c<a<b.故选:D.利用对数函数、指数函数的单调性直接求解.本题考查三个数的大小的比较,考查对数函数、指数函数的单调性等基础知识,是基础题.6.【答案】C【解析】解:∵,∴<<,又“”∴α+=,解得α=.∴“”是“”的充要条件.故选:C.由,知<<,又可得α+=,解得α.即可判断出结论.本题考查了三角函数求值、简易逻辑的判定方法,考查了推理能力与计算能力,属于基础题.7.【答案】C【解析】解:把函数的图象向左平行移动个单位,可得函数y=cos(3x+3•-)=cos3x 的图象,故选:C.由题意利用y=Asin(ωx+φ)的图象的变换规律,得出结论.本题主要考查y=Asin(ωx+φ)的图象的变换规律,属于基础题.8.【答案】A【解析】解:∵对任意实数x,有f(x+7)•f(x)=-1.∴对任意实数x,有f(x+7)•f(x+14)=-1.即f(x)=f(x+14),即函数是周期为14的周期函数,故f(-100)=f(-2),∵当0≤x<7时,f(x)=log2(9-x),∴f(5)=2,∵f(-2)•f(5)=-1.,故f(-100)=f(-2)=-,故选:A.先由已知得到函数是周期为14的周期函数,进而得到答案.本题考查的知识点是函数的周期性,函数求值,对数运算,难度不大,属于基础题.9.【答案】2【解析】解:=-2+4=2.故答案为:2.利用指数、对数的性质、运算法则直接求解.本题考查指数式、对数式的化简求值,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.310.【答案】(,+∞)【解析】解:当时,函数f(x)=tanx单调递增,故:当时,函数在x=时,函数存在最小值,即:y=.所以f(x)的值域为:.故答案为:直接利用正切函数的性质求出结果.本题考查的知识要点:正切函数的性质的应用.11.【答案】‒4 3【解析】解:角α终边上一点的坐标为(1,2),则tanα=2,tan2α===-.故答案为:.求出角的正切函数值,然后利用二倍角公式求解即可.本题考查任意角的三角函数以及二倍角公式的应用,考查计算能力.12.【答案】(‒1a,1)【解析】解:不等式ax2+(1-a)x-1<0,即(ax+1)(x-1)<0,∵a>0,∴,不等式ax2+(1-a)x-1<0的解集为:故答案为:利用因式分解,结合二次函数的性质即可求解.本题考查不等式的解法,主要考查二次不等式,考查运算能力,属于基础题.13.【答案】a>22【解析】解:存在x>0,使得,则a>x+,∵x+≥2=2,当且仅当x=时取等号,∴a>2,故答案为:.分离参数则a>x+,求出x+的最小值即可得到a的取值范围.本题考查了基本不等式的应用,属于基础题14.【答案】①②【解析】解:根据题意,依次分析4个命题:对于①,对于F(x)=f2(x)-f2(-x),有a≤x≤b,a≤-x≤b,而又由0<b<-a,则F(x)=f2(x)-f2(-x)中,x的取值范围是-b≤x≤b,即其定义域是[-b,b],则①正确;对于②,F(-x)=f2(-x)-f2(x)=-F(x),且其定义域为[-b,b],关于原点对称,则F(x)为奇函数,②正确;对于③,由y=f(x)无零点,假设f(x)=2x,F(x)=22x-2-2x=22x-无最小值,故③错误;对于④,由于F(x)是奇函数,则F(x)在[-b,0]上与[0,b]上的单调性相同,故F(x)在其定义域内不一定单调递增,④错误;故答案为:①②对于①,根据F(x)的解析式以及f(x)的定义域,可得a≤x≤b,a≤-x≤b,又由0<b<-a,可得F(x)定义域,可得①正确;对于②,先求出F(-x),可得F(-x)=-F(x),再结合F(x)的其定义域,可得F(x)为奇函数,②正确;对于③,举出反例,当f(x)>1时,可得F(x)的最小值不是0,故③错误;对于④,由于F(x)是奇函数,结合奇函数的性质,可得④错误;综合可得答案本题考查函数的性质,涉及函数的定义域、奇偶性、单调性、最值等性质,判断②时,注意要结合函数F(x)的定义域.15.【答案】解:(Ⅰ)∵,sinα‒cosα=12∴可得:sinα=cosα+,12∵sin 2α+cos 2α=1,∴(cosα+)2+cos 2α=1,可得:8cos 2α+4cosα-3=0,12∴cosα=,‒1±74∵α∈(0,π).cosα=sinα-∈(-,),121212∴cosα=.7‒14(Ⅱ)∵cosα=,sinα=.7‒147+14∴sin2α=2sinαcosα=,cos2α=2cos 2α-1=-,3474∴===.sin(α+π4)sin2α+cos2α+12(sinα+cosα)sin2α+cos2α+11447‒7414+26【解析】(Ⅰ)由已知及同角三角函数基本关系式可得8cos 2α+4cosα-3=0,结合范围α∈(0,π).可求cosα的值.(Ⅱ)由(Ⅰ)利用同角三角函数基本关系式,二倍角公式可求sinα,sin2α,cos2α的值,利用两角和的正弦函数公式化简所求即可计算得解.本题主要考查了同角三角函数基本关系式,二倍角公式,两角和的正弦函数公式在三角函数化简求值中的应用,考查了运算求解能力和转化思想,属于中档题.16.【答案】解:(Ⅰ)函数.f(x)=sin 2x +3sinxcosx 那么=(sin )2+sin cos ==;f(3π4)3π433π43π412+3×22×(‒22)1‒32(Ⅱ)由函数=cos2x +sin2x =sin (2x -)+,f(x)=sin 2x +3sinxcosx 12‒1232π612∵时,x ∈[0,π2]∴2x -∈[,],π6‒π65π6∴当2x -=,即x =0时,有最小值为0,π6‒π6当2x -=,即时,有最大值.π6π2x =π332【解析】(Ⅰ)将x=带入计算即可;(Ⅱ)利用二倍角和辅助角化简,时,求解内层函数范围,结合三角函数的性质可得最值及对应x 的值.本题考查三角函数的最值的求解,考查转化思想以及计算能力.属于基础题.17.【答案】解:(Ⅰ)若,,M(π6,0)N(5π12,3)则A =3,=-==,T 45π12π63π12π4即周期T =π,又=π,则ω=2,2πω则f (x )=3sin (2x +φ),∵f ()=3sin (2×+φ)=3,5π125π12∴sin (+φ)=1,5π6即+φ=+k π,k ∈Z ,5π6π2则φ=-+k π,π3∵|φ|<,π2∴当k =0时,φ=-,π3则f (x )=3sin (2x -).π3(2)由2k π+≤2x -≤2k π+,k ∈Z ,π2π33π2得k π+≤x ≤k π+,k ∈Z5π1211π12即函数的单调递减区间为,k ∈Z .[5π12+kπ,11π12+kπ](Ⅲ)设M ,Q 的中点是P ,若△MNQ 为直角三角形,则AP =MP ,即△MNP 是等腰三角形,则=,即A 2==,(T 4)2+A 2(T 2)2T 24‒T 2163T 216则A =T =,3434⋅2πω则.Aω=32π【解析】(Ⅰ)根据M ,N 的坐标,找出A ,T 之间的关系求出A ,ω和φ的值即可求函数f (x )的解析式; (Ⅱ)利用三角函数单调性的性质即可求函数f (x )的单调递减区间;(Ⅲ)若△MNQ 为直角三角形,结合勾股定理建立方程进行求解即可.本题主要考查三角函数的图象和性质,根据条件求出函数的解析式是解决本题的关键.考查学生的运算和转化能力.18.【答案】解:(Ⅰ)由题意,.可知A ==3,B ==10.图象过(3,13)即可求解ω.13‒7213+72那么:13=3sin3ω+10,可得:sin3ω=1,∴ω=π6故得:A =3,,B =10.ω=π6(Ⅱ)航行时船底同海底的距离不少于4.5m 时是安全的.如果某船的吃水深度(船底与水面的距离)为7m ,那么水深y ≥11.5,即y =3sin t +10≥11.5,π6∴sin t ≥,π612∵0≤t ≤24,∴1≤t ≤5或13≤t ≤17.故:该船在凌晨1点-5点,或13点-17点能够安全进港;若该船当天港内停留的时间最长,应从凌晨1点进港,17点前离港,最长停留时间为16小时.【解析】(Ⅰ)由题意提供函数y=Asinωt+B 的图象.可知A==3,B==10.图象过(3,13)即可求解ω.(Ⅱ)航行时船底同海底的距离不少于4.5m 时是安全的.如果某船的吃水深度(船底与水面的距离)为7m ,那么水深y≥11.5,结合三角函数的性质即可求解;本题主要考查三角函数的图象和性质,根据图象求出函数的解析式是解决本题的关键.要求熟练掌握函数图象之间的变化关系19.【答案】解:(Ⅰ)由f (a )=ln =1,a ‒2a +2即=e ,a ‒2a +2解得a =;2+2e1‒e (Ⅱ)函数f (x )为奇函数.由>0,解得x >2或x <-2,x ‒2x +2故函数f (x )的定义域是(-∞,-2)∪(2,+∞),关于原点对称,而f (-x )=ln =ln =-ln =-f (x ),‒x ‒2‒x +2x +2x ‒2x ‒2x +2故函数是奇函数;(Ⅲ)1个.【解析】(Ⅰ)由f (a )=1,结合对数的定义,解方程可得a 的值;(Ⅱ)函数f (x )为奇函数.运用函数的奇偶性的定义,结合对数的运算性质可得;(Ⅲ)结合f (x )的图象和y=sinx+2的图象,可得根的个数.本题考查函数的奇偶性和方程的根的个数,考查运算能力,属于中档题.20.【答案】解:(Ⅰ)存在一次函数f (x )=kx +m (k ≠0),使得H (t )是R 上的常值函数.事实如下:当f (x )=kx +m 时,由|f (x )-f (t )|≤2,得|kx +m -kt -m |≤2,即|k |•|x -t |≤2,解得t≤x ≤t +,‒2|k|2|k|则a =,b =,‒2|k|2|k|∴H (t )=a +b =0为R 上的常值函数;(Ⅱ)①由|f (x )-f (t )|≤2,得f (t )-2≤f (x )≤f (t )+2,即t 2-2≤x 2≤t 2+2,(*)当时,解(*)得:,此时;1≤t ≤2‒t 2+2≤x ≤t 2+2a ‒b =2t 2+2当<t ≤2时,解(*)得:,此时.2‒t 2‒2≤x ≤t 2+2a ‒b =t 2+2‒t 2‒2综上,有H (t )=.{2t 2+2(1≤t ≤2)t 2+2‒t 2‒2(2<t ≤2)②由函数单调性可得H (t )∈.[6‒2,2)∪[23,4]∴函数H (t )的值域为.[6‒2,2)∪[23,4]【解析】(Ⅰ)根据题意,当f (x)=kx+m (k≠0)时,由不等式|f (x )-f (t )|≤2可得t ≤x≤t+,则a=,b=,得出H (t )为常值函数;(Ⅱ)①根据题意,当f (x )=x 2且t ∈[1,2]时,不等式|f (x )-f (t )|≤2化为|x 2-t 2|≤2,利用不等式的性质求出x 的取值范围,写出函数H (t )的解析式;②由函数的单调性求解H (t )的值域.本题考查了新定义函数的性质与应用问题,也考查了不等式的解法与应用问题,是中档题.。
北京师范大学附属高级中学2018年高一英语上学期期末试题含解析
北京师范大学附属高级中学2018年高一英语上学期期末试题含解析一、选择题1. —How do you like the book?—It’s quite different from ___________I read last month.A. thatB. whichC. the oneD. the one which参考答案:C2. Rather than ____ on a crowded bus ,he always prefers ___ a bicycle.A. get, to rideB. getting, ridingC. get, ride D to get, riding参考答案:A略3. —What does your brother look like?—He is _____________.[ ]A. fineB. Nice and friendlyC. goodD. Tall and handsome参考答案:D略4. Our English class is really when she thinks we’re getting .A. amusing; boringB. amused; boredC. amusing; boredD. amused; boring参考答案:C5. Ronaldo was ______ to win the 100-meter hurdles race, but he fell to the ground and missed the chance.A. possibleB. probableC. likelyD. maybeC6. Nobody knows the man killed in the accident, so it is difficult for the police to find out his_____________.A. thoughtB. heightC. weightD. identity参考答案:D7. Yesterday,he was seen______some money______his father's pocket.A. steal…fromB. stole…ofC. to steal…fromD. stealing…in参考答案:C考查固定搭配。
