安徽省怀宁县高河中学2015-2016学年高二第二次月考英语试题

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安徽省怀宁县高河中学高二下学期第二次月考英语试题

高河中学2010-2011学年高二下学期第二次月考英语第一部分听力（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个小题。

每段对话仅读一遍。

1. When did the man attend the concert?A. On October 1.B. On March 8.C. On Labour Day.2. Where does the conversation take place?A. In a library.B. In a shop.C. In a college.3. What's the relationship between the two speakers?A. Mother and son.B. Teacher and student.C. Classmates.4. Which bus does the man want to take?A. A No. 5.B. A No. 13.C. A No. 63.5. What are the two speakers talking about?A, Paying taxes. B. The price of cigarettes. C. Giving up smoking.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至7题。

6, What's the probable relationship between the speakers？A. Boss and clerk.B. Husband and wife.C. Workmates.7. How does the woman feel about Rita working for the man？A. Afraid.B. Sad.C. Excited.8. What is the man worried about?A. Rita won't take her work seriously.B. The woman will fire Rita.C. Rita won't work for long.请听第7段材料，回答第9至11题。

高二英语

2015年秋高河中学高二期末考试英语试题第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）请听下面5段对话，选出最佳选项。

1. What does the woman mean?A. Air pollution in the man’s country is serious.B. The man’s country doesn’t have much industry.C. Her country has big environmental problems.2. What did the man do last weekend?A. He stayed at home and watched TV.B. He attended a meeting.C. He went to a greenhouse.3. How does the man think they can protect the environment?A. By using public transport.B. By driving their cars less.C. By using their bikes.4. What are the speakers talking about?A. Farmers.B. Rubbish.C. Their cough.5. What will the woman do next?A. Pick up the waste paper.B. Empty the dustbins.C. Go to Building F.第二节（共15小题，每小题1.5分，满分22.5分）请听下面5段对话或独白，选出最佳选项。

请听第6段材料，回答第6、7题。

6. What does the woman suggest doing?A. Choosing a topic.B. Making a survey.C. Buying some books.7. Where will the speakers probably go after the conversation?A. To the library.B. To a bookstore.C. To a factory.请听第7段材料，回答第8、9题。

安徽省怀宁县高河中学高二英语第二次月考试题

2015年秋高河中学高二第二次月考英语试题第I卷（共100分）第一部分听力(30分)第一节听下面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 woman mean？A. She doesn’t want to sit next to Alan．B. She is willing to see movie with Alan．C. She likes talking with Alan during the movie．2 ．What will the man probably do？A. Have dinner. B．Clean the table. C. Read the notebook.3 ．What will Jack do？A. Go skating.B. Play tennis.C. Stay at home.4 ．What is the possible relationship between the two speakers？A. Employer and employee. B．Neighbors. C. Good friends.5 ．Where does the conversation probably take place？A. In a restaurant.B. In a train.C. In a plane.第二节听下面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。

听下面一段对话，回答第6和第7两个小题。

6 ．What is the man doing？A. Seeing a doctor.B. Playing volleyball.C. Going down hill.7 ．What happened to the man？A ．He sprained his left ankle．B．He hurt his right ankle．C．He sprained his waist．听下面一段对话，回答第8至第10三个小题。

安徽省怀宁县高河中学高二英语第二次月考(无答案)

安徽省怀宁县高河中学2011-2012学年高二第二次月考（英语）（时间：120分钟分值：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个小题。

每段对话仅读一遍。

1. Where does the conversation probably take place?A. In a hospital.B. In a shopping center.C. On a crowded bus.2. Why couldn't the woman get John to come?A. John was too busy to come.B. John's phone wasn't working.C. John wasn't at home3. How will the woman go to the university?A. On foot.B. By bus.C. By taxi.4. How much should the man pay for the tickets?A. 40 yuan.B. 80 yuan.C. 100 yuan.5. What's happiness to the woman?A. Helping others.B. Reaching her goals.C. Being with her sister. 第二节（共15小题；每小题1.5分，满分22.5分）请听下面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，回答对话独白读两遍。

高二英语下学期第二次月考试卷高二全册英语试题1

得夺市安庆阳光实验学校宁夏育才中学2015～2016学年第二学期高二第二次月考英语试卷(试卷满分150分，考试时间为 120第一部分：听力（共20个小题，每小题1.5分，满分30分）第一节听下面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。

例：How much is the shirt?A. £19.15.B.£9.18.C. £9.15答案是C.1. What time is it now?A.9:10.B.9:50.C. 10:00.2. What does the woman think of the weather?A. It’s nice. B. It’s warm. C. It’s cold.3. What will the man do?A. Attend a meeting.B. Give a lecture.C. Leave his office.4. What is the woman’s opinion about the course?A. Too hard.B. Worth taking.C. Very easy.5. What does the woman want the man to do?A. Speak louder.B. Apologize to her.C. Turn off the radio.第二节听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6、7题。

6. How long did Michael stay in China?A. Five days.B. Oneweek. C. Two weeks.7. Where did Michael go last year?A.Russia.B.Norway. C. India.听第7段材料，回答第8、9题。

安徽省怀宁县高河中学2020学年高二英语第二次月考(无答案)

安徽省怀宁县高河中学2020学年高二第二次月考（英语）（时间：120分钟分值：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个小题。

每段对话仅读一遍。

1. Where does the conversation probably take place?A. In a hospital.B. In a shopping center.C. On a crowded bus.2. Why couldn't the woman get John to come?A. John was too busy to come.B. John's phone wasn't working.C. John wasn't at home3. How will the woman go to the university?A. On foot.B. By bus.C. By taxi.4. How much should the man pay for the tickets?A. 40 yuan.B. 80 yuan.C. 100 yuan.5. What's happiness to the woman?A. Helping others.B. Reaching her goals.C. Being with her sister. 第二节（共15小题；每小题1.5分，满分22.5分）请听下面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，回答对话独白读两遍。

高二英语上学期第二次月考试题高二全册英语试题_01 (2)

得夺市安庆阳光实验学校2016级高二上学期第二次月考英语试题第一部分听力略第二部分阅读理解(共两节，满分40分)第一节(共15小题；每小题2分，满分30分)阅读下列短文，从每题所给的四个选项(A、B、C和D)中，选出最佳选项，并在答题卡上将该项涂黑。

AHow to save money to visit Shanghai Disneyland?The “happiest place on earth” is a top destination on many families' bucket lists. But taking a vacation to Disney World can be difficult to do on a budget. There are some considerations that you can make to reduce the cost of your Disney World vacation.1. Buy Souvenirs in AdvanceDisney has influenced practically every industry, which makes it easy to find Disney items anywhere, from Walmart, Target, and your local grocery store to department stores and Amazon. You can save a lot of money by purchasing items before your trip at these less-expensive places than at Disneyland.2. Make an Autograph BookAn autograph book is seen as a must-have by many Disneyland enthusiasts and is a memory you can take home with you. These books can cost anywhere from $7.95 to $19.95 at the Disney Store and up to $30 for the latest-and-greatest autograph book at Disneyland, such as the park's 60th anniversary edition. Other choices can get the job done for under $5. For example, you can buy a small photo album; cute pads or notebooks.3. Eat Breakfast Before You ArriveBreakfast is almost as pricey as lunch or dinner if you eat inside the Disneyland parks. If you have a hotel with a free breakfast, take advantage of it. If you want to eat out, eat at a local restaurant that is inexpensive or has a kids' menu, such as McDonald's which is close to the park.4. Take Advantage of Discounts Offered to Special GroupsDisney offers a wide variety of discounts, including for military service members, college students, teachers, and youth groups. If you think you might qualify for a special discount or group rate, call the Disneyland Resort to book tickets.1. It may take you more money to buy souvenirs at_____.A. DisneylandB. Department storesC. WalmartD. Amazon2. How much do you pay for the park's 60th anniversary edition?A. $7.95B. $19.95C. $5D. $303. What is one piece of the author’s advice on breakfast?A. You had better eat at Disneyland.B. You can eat at a local restaurant.C. You should prepare it well at home .D. You can ask the hotel to supply it for free.BThe Arctic is not a safe place to be by any stretch of the imagination. Essentially a vast, floating block of ice, with only a small area of land, the landscape can be almost totally different from year to year. Even the most experienced explorers are lucky to return with all their fingers and toes, not to mention their lives.Into this extreme environment stepped Nabil Al Busaidi. In fact, he didn’t just step—he stepped and skied his way across 650km, pulling 50kg of equipment. He also carried the flag of the Sultanate of Oman, which he held in the air at the North Pole, becoming the first Arab to achieve this impressive feat (壮举).On the way to the North Pole, Nabil was driven by the reward of success and the pain at the th ought of failure. “Through the 20-whatever days , every minute there was a different thing that kept me going, either the fear of failure, the fear of dying or the reward of finishing and getting somewhere warm. ”The ever-present cold, averaging around -40℃ but dropping as low as a recorded -81℃, is his overriding (首要的) memory of the experience. As an Omani, Nabil had an additional 20℃ drop in temperature to get used to, compared to his British teammates. Apart from the extreme cold, polar bears were a common feature of the journey, and Nabil and the team had their fair share of bear encounters. “Polar bears are dangerous, but they are not that threatening because they don’t intend to harm humans. They’re usually either curious or just don’t care. We saw fi ve bears, and none were aggressive,” said Nabil.One final problem Nabil faced was the stress put on team relations by the severity of the conditions, especially during the first three stages of the journey. However, during the fourth and final leg, the team worked so well together that they travelled 130km in only two and a half days.4. What does Paragraph 1 show?A. Nabil’s hard-won success.B. The value of Arctic exploration.C. Nabil’s good luck.D. The change of the Arctic.5. Which is the problem Nabil faced on his journey?A. Gradually rising sea level.B. Frequent polar bear attacks.C. Constantly changing climate.D. The heavy psychological burden.6. What can we know about Nabil?A. He had gone on an Arctic journey before.B. He explored the Arctic with pretty light packs.C. He finished the exploration of the Arctic all alone.D. He suffered more from extreme cold than his teammates.7. What is the passage mainly about?A. Life in the Arctic.B. Climate of the Arctic.C. The first Arab to step into the Arctic.D. Achievements scientists made in the Arctic.CThe digital revolution is both launching us into a no-handwriting future, and also sending us backwards in time to when the spoken words ruled. But that’s not necessarily a bad thing.“I don’t think kids should be assessed on their ability to master cursive(草书). It’s not something that they are going to use much in their lives as they grow older. It’s not something most of us adults use in our lives today. ” Anne Trubek, an aut hor, suggests that schools offer handwriting or cursive as an elective or art class in the future.“Focus on how to teach kids to express their ideas, how to organize their thoughts, how to make arguments” she says. “The forming of the letters are less important. And there are certainly many ways to individualize what you write beyond the way you’ve circled the ‘I’ or crossed your ‘T’.”“This myth that handwriting is just a motor skill is just plain wrong,” Virginia Berninger said. “We use motor parts of our brain, motor planning, motor control, but what’s very critical is a region of our brain where the visual and language come together and actually become letters and written words.”“A lot of people are very stubborn about the importance of handwriting, but at the same time will admit they never write themselves,” Trubek says.Trubek suggests, however, that handwriting keeps some value – for now. “ For us today, in the 21st century America, handwriting represents something individual and unique about a person. It doesn’t always mean that in previous times in history, and it won’t always mean that in the future, but right now for us we relate our sense of self to our handwriting.”8. How does Trubek feel about the handwriting?A. It’s useless.B. I t’s only an art.C. It’s less important.D. It’s meaningful.9. Virginia Berninger’s attitude to the use of handwriting is ______.A. indifferentB. doubtfulC. favorableD. disapproving10. What do we know from the last paragraph?A. Handwriting still keeps some value today.B. Handwriting represents previous times in history.C. Handwriting reflects the past and the future.D. The computer makes handwriting out of date.11. What is the author’s purpose in writing the text?A. To show people’s worry about future.B. To discuss the importance of handwriting.C. To introduce something about handwriting.D. To encourage people to practice handwriting.DNothing is more tiresome than being stuck in a boring class. Every second takes ages to tick by. A recent survey of American kids revealed that 91 percent experience boredom. In fact, adolescence is considered a peak period for the problem. One study showed that roughly one in three teenagers was bored at school.Peter Stromberg, professor at the University of Tulsa says, “Our brains adapt really quickly to certain levels of stimulation(刺激). We get used to the media providing levels of highly emotional stimulation, and when we’re not getting them we feel bored. As our society develops various ways of keeping us entertained, we may discover that rather than getting rid of boredom, we’re multiplying it.” Luckily, new research is implying a way that we can battle the trend.Professor John D. Eastwood of the University of York developed a new theory of boredom, which links it to the brain’s attention system—the part of the brain that we use to focus. Anything the attention system in your brain locks onto will be automatically sucked up into your conscious awareness—it might be a bird outside the window, the pleasant smell of lunch, or even someone sleeping in the back of the class.The problem is that your attention system doesn’t like being told what to do. It wants to focus on stuff that you find fun and interesting. For the parts of school that you enjoy, this isn’t a problem. But for those classes that don’t interest you, or present too much or too little challenge, the story is very different. In those situations, you’re going to have to spend a lot of effort constantly redirecting your attention system to focus on things it would rather ignore. And the effort is going to wear you out. Eastwood describes it as “wanting, but being unable, to be involved in a satisfying activity.” It’s like a block in the system. An d it’s the awareness of that block combined with a sense that the environment is to blame that leads to feelings of boredom.When we’re bored we blame the world around us, but Eastwood’s theory challenges this assumption: Boredom doesn’t exist out there; i texists inside your brain. What that means is—hard as it may be to hear—boring lessons aren’t only the fault of your teacher or the subject, they’re your fault too.12. According to Peter Stromberg, ________.A. teenagers are victims of boredomB. our brains demand much stimulationC. we’ve grown dependent on media for funD. the way we have fun makes us become bored13. According to Paragraph 4, the attention system ________.A. doesn’t like challengesB. enjoys interesting thingsC. does what you want it to doD. can make our efforts fruitless14. What might the author suggest about a boring class?A. Focusing more attention on it.B. Changing the way we look at it.C. Employing various teaching methods.D. Challenging the disturbing environment.15. What might be the best title for the passage?A. Escape Your BoredomB. Battle Your AttentionC. Fun or Boredom?D. Who Is to Blame?第二节 (共5小题；每小题2分，满分10分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

高二第二次月考英语试题 (5)

高二年级第二次月考英语试卷第I卷选择题（共85分）第一节语音知识：（共5小题；每小题1分，满分5分）从每小题的A，B，C，D 四个选项中，找出其划线部分与所给单词的划线部分读音相同的选项。

1．telegram A．retire B．complete C．cigarette D．create 2．diversity A．influence B．prediction C．glimpse D．identify 3．approach A．character B．stomach C．chance D．Christmas 4．basis A．sofa B．debate C．passage D．balcony 5．genius A．graduate B．engage C．gravity D．design第二节单项选择（共20小题，每小题1分，满分20分）6. Someone is ringing the doorbell. Go and see __________ .A. who is heB. who he isC. who is itD. who it is7. He said he would stay there for_____________.A. sometimeB. some timesC. some timeD. sometimes8. The fact ________ the mainland of Great Britain is made up of three kingdoms ________ stillunknown to many.A．which; is B．that; is C．which; are D．that; are9. The weather in my hometown is ______ too cold in winter ______ too hot in summer.A．not; and B．both; or C．either; nor D．neither; nor10. The two boys were fighting each other, and it was hard for the old man to _____ them.A．divide B．separate C．keep D．prevent11. ________ they won the game was ________ we had expected.A．That; which B．Whether; that C．What; that D．That; what12. --- Do you know how many planets the solar system?--- nine.A. form; As many asB. consist; As many asC. make; As much asD. build; As much as13. --- What are your favourite subjects?--- I'm fond of three subjects, , English, math and history.A. generallyB. or ratherC. namelyD. including14. What is the of your opinion? Karl Max made London for the ofhis revolutionary work.A. basis; baseB. basis; basisC. base; basisD. base; base15. The United Kingdom Great Britain and Northern Ireland.A. makes upB. composesC. consists ofD. was made up of16. In both work and study we ought to our time.A. make the most ofB. make most ofC. make best ofD. make an use of17. He didn't go into detail on the subject, he spoke .A. in commonB. in particularC. in generalD. in short18. The question is will be the next speaker.A. whoseB. whoC. whichD. why19. has helped to save the girl is worth praising.A. WhoB. The oneC. AnyoneD. Whoever20. Do you have any idea I can get to the hospital?A. whereB. howC. thatD. which21. _________ that she didn’t do a good job, I don’t think I am abler than her.A. to have saidB. Having saidC. To sayD. saying22. ---You should apologize to her, Barry.---___________, but it’s not going to be ea sy.A.I suppose soB. I feel soC.I prefer toD. I like to23. ______ in her most beautiful skirt, the girl tired to make herself ______ at the party.A. Dressed; noticedB. Dressing; noticedC. Dressed; noticingD. Dressing; being noticing24. What do you think of the suggestion that she ________ at the meeting last week?A. should makeB. makeC. madeD. A or B25. ---Guess what! I have got A for my term paper.---Great! You ________ read widely and put a lot of work into it.A.mustB. shouldC. must haveD. should have第三节：完形填空（共20小题，每小题1分，满分20分）阅读下面短文，从短文后各题的A、B、C、D四个选项中，选出适合填入对应空白处的最佳选项，并在答题卡上将该选项涂黑。

高二英语下学期第二次半月考试题高二全册英语试题

得夺市安庆阳光实验学校2015—2016学年下学期高二年级第二次半月考英语试卷第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 repaired the computer?A. Tom.B. Jack.C. Pam.2. What does Tom do probably?A. A barman.B. A shopkeeper.C. A waiter.3. When will the woman go back to work?A. At 1:00 pm.B. At 1:15 pm.C. At 1:30 pm.4. What's the woman's problem?A. She's always late.B. She wastes too much time.C. She spends too much money.5. What will the man do afterwards?A. Put away his clothes.B. Buy another closet.C. Throw his old clothes away.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，各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对话，回答第6和第7两个小题。

6. When does Lucy bite her nails?A. When she's sad.B. When she's excited.C. When she's nervous.7. What will the speakers do next?A. Watch a video.B. Play games.C. Visit a website.听下面一段对话，回答第8和第9两个小题。

高二英语下第二次月考试卷带答案

高二英语下第二次月考试卷带答案高二的学生在参加月考前，多做一些测试题不仅可以帮助查漏补缺，还可以巩固知识点。

小编为大家推荐了相关试卷，希望可以帮助到大家!高二英语下第二次月考试卷第一部分听力 (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。

1. How many colds have the man and his wife had?A. Ten.B. Eight.C. Six.2. How is the woman’s mother now?A. She is quite healthy.B. She is seriously ill.C. She is much better.3. What does the woman mean?A. Kelly’s perhaps ne ar.B. Kelly forgot to take her bag.C. Kelly might be having lunch now.4. What does the woman probably do?A. She is a headmaster.B. She is a student.C. She is a reporter.5. What do we know about the woman?A. She didn’t work hard.B. She cheated in her English test.C. She didn’t pass her English test.第二节(共15小题;每小题1.5分，满分22.5分)听第6段材料，回答第6至7题。

6. What’s Jenny’s father?A. He is an engineer.B. He is a boss.C. He is a police.7. What can we learn from the conversation?A. Jenny lives happier than Ma ry.B. The woman doesn’t like Jenny at all.C. The man doesn’t agree that money means happiness.听第7段材料，回答第8至9题。

安徽省安庆市怀宁县高河中学高二数学上学期第一次月考试卷文(含解析)

安徽省安庆市怀宁县高河中学2015-2016学年高二（上）第一次月考数学试卷（文科）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，只有一项是符合要求的）1．若直线过点M（1，2），N（4，2+），则此直线的倾斜角为（）A．30° B．45° C．60° D．90°2．过原点且倾斜角为60°的直线被圆x2+y2﹣4y=0所截得的弦长为（）A．B．2 C．D．23．圆C1：（x+2）2+（y﹣2）2=1与圆C2：（x﹣2）2+（y﹣5）2=16的位置关系是（）A．外离 B．相交 C．内切 D．外切4．对于a∈R，直线（x+y﹣1）﹣a（x+1）=0恒过定点P，则以P为圆心，为半径的圆的方程是（）A．x2+y2+2x+4y=0 B．x2+y2+2x﹣4y=0C．x2+y2﹣2x+4y=0 D．x2+y2﹣2x﹣4y=05．设P，Q分别为直线x﹣y=0和圆x2+（y﹣6）2=2上的点，则|PQ|的最小值为（）A．B．C．D．46．设圆的方程为（x﹣1）2+（y+3）2=4，过点（﹣1，﹣1）作圆的切线，则切线方程为（）A．x=﹣1 B．x=﹣1或y=﹣1 C．y+1=0 D．x+y=1或x﹣y=07．阅读如图的程序框图，若输出s的值为﹣7，则判断框内可填写（）A．i＜3 B．i＜4 C．i＜5 D．i＜68．某篮球队甲、乙两名运动员练习罚球，每人练习10组，每组罚球40个．命中个数的茎叶图如下．则下面结论中错误的一个是（）A．甲的极差是29 B．乙的众数是21C．甲罚球命中率比乙高D．甲的中位数是249．现要完成下列3项抽样调查：①从10盒酸奶中抽取3盒进行食品卫生检查．②科技报告厅有32排，每排有40个座位，有一次报告会恰好坐满了听众，报告会结束后，为了听取意见，需要请32名听众进行座谈．③高新中学共有160名教职工，其中一般教师120名，行政人员16名，后勤人员2名．为了了解教职工对学校在校务公开方面的意见，拟抽取一个容量为20的样本．较为合理的抽样方法是（）A．①简单随机抽样，②系统抽样，③分层抽样B．①简单随机抽样，②分层抽样，③系统抽样C．①系统抽样，②简单随机抽样，③分层抽样D．①分层抽样，②系统抽样，③简单随机抽样10．某学院的A，B，C三个专业共有1200名学生，为了调查这些学生勤工俭学的情况，拟采用分层抽样的方法抽取一个容量为120的样本．已知该学院的A专业有380名学生，B专业有420名学生，则在该学院的C专业应抽取的学生是（）A．42名B．38名C．40名D．120名11．动点A在圆x2+y2=1上移动时，它与定点B（3，0）连线的中点的轨迹方程是（）A．（x+3）2+y2=4 B．（x﹣3）2+y2=1 C．（2x﹣3）2+4y2=1 D．（x+3）2+y2=12．直线y=x+b与曲线有且仅有一个公共点，则b的取值范围是（）A．B．﹣1＜b≤1或C．D．二、填空题（本大题共4小题，每小题5分，共20分）13．实数x，y满足x2+y2﹣4x+3=0，则的最大值是．14．二进制数1101（2）化为五进制数为．15．点P（1，2，3）关于y轴的对称点为P1，P关于坐标平面xOz的对称点为P2，则|P1P2|= ．16．某单位为了了解用电量y度与气温x℃之间的关系，随机统计了某4天的用电量与当天气由表中数据得线性方程=+x中=﹣2，据此预测当气温为5℃时，用电量的度数约为．三、解答题（17题10分，其余各题每题12分）17．用秦九韶算法计算多项式f（x）=2x6﹣2x5﹣x3+x2﹣2x+4，当x=2时，求f（x）的值．18．已知两直线l1：ax﹣by+4=0，l2：（a﹣1）x+y+b=0．求分别满足下列条件的a，b的值．（1）直线l1过点（﹣3，﹣1），并且直线l1与l2垂直；（2）直线l1与直线l2平行，并且坐标原点到l1，l2的距离相等．19．已知圆C：（x﹣1）2+（y﹣2）2=2，点P坐标为（2，﹣1），过点P作圆C的切线，切点为A，B．（1）求直线PA，PB的方程；（2）求过P点的圆的切线长；（3）求直线AB的方程．20．某产品的广告支出x（单位：万元）与销售收入y（单位：万元）之间有下表所对应的数（1）画出表中数据的散点图；（2）求出y对x的线性回归方程；（3）若广告费为9万元，则销售收入约为多少万元？21．为了了解学生的体能情况，某校抽取部分学生进行一分钟跳绳次数测试，所得数据整理后，画出频率分布直方图，图中从左到右各小长方形面积之比为2：4：17：15：9：3，第二小组频数为12．（1）学生跳绳次数的中位数落在哪个小组内？（2）第二小组的频率是多少？样本容量是多少？（3）若次数在110以上（含110次）为良好，试估计该学校全体高一学生的良好率是多少？22．已知圆C：x2+y2+Dx+Ey+3=0关于直线x+y﹣1=0对称，圆心C在第四象限，半径为．（Ⅰ）求圆C的方程；（Ⅱ）是否存在直线l与圆C相切，且在x轴上的截距是y轴上的截距的2倍？若存在，求直线l的方程；若不存在，说明理由．2015-2016学年安徽省安庆市怀宁县高河中学高二（上）第一次月考数学试卷（文科）参考答案与试题解析一、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，只有一项是符合要求的）1．若直线过点M（1，2），N（4，2+），则此直线的倾斜角为（）A．30° B．45° C．60° D．90°【考点】直线的倾斜角．【专题】直线与圆．【分析】利用两点的坐标，求出直线的斜率，从而求出该直线的倾斜角．【解答】解：∵直线过点M（1，2），N（4，2+），∴该直线的斜率为k==，即tanα=，α∈[0°，180°）；∴该直线的倾斜角为α=30°．故选：A．【点评】本题考查了利用两点的坐标求直线的斜率与倾斜角的应用问题，是基础题目．2．过原点且倾斜角为60°的直线被圆x2+y2﹣4y=0所截得的弦长为（）A．B．2 C．D．2【考点】直线的倾斜角；直线和圆的方程的应用．【专题】计算题．【分析】本题考查的知识点是直线与圆方程的应用，由已知圆x2+y2﹣4y=0，我们可以将其转化为标准方程的形式，求出圆心坐标和半径，又直线由过原点且倾斜角为60°，得到直线的方程，再结合半径、半弦长、弦心距满足勾股定理，即可求解．【解答】解：将圆x2+y2﹣4y=0的方程可以转化为：x2+（y﹣2）2=4，即圆的圆心为A（0，2），半径为R=2，∴A到直线ON的距离，即弦心距为1，∴ON=，∴弦长2，故选D．【点评】要求圆到割线的距离，即弦心距，我们最常用的性质是：半径、半弦长（BE）、弦心距（OE）构成直角三角形，满足勾股定理，求出半径和半弦长，代入即可求解．3．圆C1：（x+2）2+（y﹣2）2=1与圆C2：（x﹣2）2+（y﹣5）2=16的位置关系是（）A．外离 B．相交 C．内切 D．外切【考点】直线与圆的位置关系．【专题】计算题．【分析】先根据圆的标准方程得到分别得到两圆的圆心坐标及两圆的半径，然后利用圆心之间的距离d与两个半径相加、相减比较大小即可得出圆与圆的位置关系．【解答】解：由圆C1：（x+2）2+（y﹣2）2=1与圆C2：（x﹣2）2+（y﹣5）2=16得：圆C1：圆心坐标为（﹣2，2），半径r=1；圆C2：圆心坐标为（2，5），半径R=4．两个圆心之间的距离d==5，而d=R+r，所以两圆的位置关系是外切．故选D【点评】考查学生会根据d与R+r及R﹣r的关系判断两个圆的位置关系，会利用两点间的距离公式进行求值．4．对于a∈R，直线（x+y﹣1）﹣a（x+1）=0恒过定点P，则以P为圆心，为半径的圆的方程是（）A．x2+y2+2x+4y=0 B．x2+y2+2x﹣4y=0C．x2+y2﹣2x+4y=0 D．x2+y2﹣2x﹣4y=0【考点】圆的一般方程；恒过定点的直线．【专题】计算题；直线与圆．【分析】联解直线x+y﹣1=0与x+1=0的方程，可得直线（x+y﹣1）﹣a（x+1）=0恒过定点P （﹣1，2）．由圆的标准式方程，写出圆的方程再化成一般式方程，可得本题答案．【解答】解：联解，可得x=﹣1，y=2∴直线（x+y﹣1）﹣a（x+1）=0恒过定点P（﹣1，2）因此以P为圆心，为半径的圆的方程是（x+1）2+（y﹣2）2=5化成一般式可得x2+y2+2x﹣4y=0故选：B【点评】本题给出直线经过定点P，求以P为圆心且为半径的圆．着重考查了直线的方程、圆的方程和直线与圆的位置关系等知识，属于基础题．5．设P，Q分别为直线x﹣y=0和圆x2+（y﹣6）2=2上的点，则|PQ|的最小值为（）A．B．C．D．4【考点】直线与圆的位置关系．【专题】直线与圆．【分析】先由条件求得圆心（0，6）到直线x﹣y=0的距离为d的值，则d减去半径，即为所求．【解答】解：由题意可得圆心（0，6）到直线x﹣y=0的距离为d==3，圆的半径r=，故|PQ|的最小值为d﹣r=2，故选：A．【点评】本题主要考查圆的标准方程，直线和圆的位置关系，点到直线的距离公式的应用，属于基础题．6．设圆的方程为（x﹣1）2+（y+3）2=4，过点（﹣1，﹣1）作圆的切线，则切线方程为（）A．x=﹣1 B．x=﹣1或y=﹣1 C．y+1=0 D．x+y=1或x﹣y=0【考点】直线与圆的位置关系．【专题】计算题．【分析】根据圆的方程，求出圆心和半径，结合图形写出切线方程．【解答】解：∵圆的方程为（x﹣1）2+（y+3）2=4，故圆心为（1，﹣3），半径等于2，如图：故过点（﹣1，﹣1）作圆的切线，则切线方程为x=﹣1或y=﹣1，故选 B．【点评】本题考查直线和圆的位置关系，求圆的切线方程，体现了数形结合的数学思想，求出圆心和半径是解题的关键．7．阅读如图的程序框图，若输出s的值为﹣7，则判断框内可填写（）A．i＜3 B．i＜4 C．i＜5 D．i＜6【考点】设计程序框图解决实际问题．【专题】算法和程序框图．【分析】分析程序中各变量、各语句的作用，再根据流程图所示的顺序，可知：该程序的作用是累加变量i的值到S并输出S，根据流程图所示，将程序运行过程中各变量的值列表如下：【解答】解：程序在运行过程中各变量的值如下表示：是否继续循环 S i循环前/2 1第一圈是 1 3第二圈是﹣2 5第三圈是﹣7 7第四圈否所以判断框内可填写“i＜6”，故选D．【点评】算法是新课程中的新增加的内容，也必然是新高考中的一个热点，应高度重视．程序填空也是重要的考试题型，这种题考试的重点有：①分支的条件②循环的条件③变量的赋值④变量的输出．其中前两点考试的概率更大．此种题型的易忽略点是：不能准确理解流程图的含义而导致错误．8．某篮球队甲、乙两名运动员练习罚球，每人练习10组，每组罚球40个．命中个数的茎叶图如下．则下面结论中错误的一个是（）A．甲的极差是29 B．乙的众数是21C．甲罚球命中率比乙高D．甲的中位数是24【考点】茎叶图．【专题】计算题；图表型．【分析】通过茎叶图找出甲的最大值及最小值求出极差判断出A对；找出甲中间的两个数，求出这两个数的平均数即数据的中位数，判断出D错；根据图的集中于离散程度，判断出甲的平均值比乙的平均值大，判断出C对．【解答】解：由茎叶图知甲的最大值为37，最小值为8，所以甲的极差为29，故A对甲中间的两个数为22，24，所以甲的中位数为故D不对甲的命中个数集中在20而乙的命中个数集中在10和20，所以甲的平均数大，故C对乙的数据中出现次数最多的是21，所以B对故选D【点评】茎叶图与频率分布直方图比较，其优点保留了原始数据，便于统计、记录．9．现要完成下列3项抽样调查：①从10盒酸奶中抽取3盒进行食品卫生检查．②科技报告厅有32排，每排有40个座位，有一次报告会恰好坐满了听众，报告会结束后，为了听取意见，需要请32名听众进行座谈．③高新中学共有160名教职工，其中一般教师120名，行政人员16名，后勤人员2名．为了了解教职工对学校在校务公开方面的意见，拟抽取一个容量为20的样本．较为合理的抽样方法是（）A．①简单随机抽样，②系统抽样，③分层抽样B．①简单随机抽样，②分层抽样，③系统抽样C．①系统抽样，②简单随机抽样，③分层抽样D．①分层抽样，②系统抽样，③简单随机抽样【考点】收集数据的方法．【专题】综合题．【分析】观察所给的四组数据，根据四组数据的特点，把所用的抽样选出来①简单随机抽样，②系统抽样，③分层抽样．【解答】解；观察所给的四组数据，①个体没有差异且总数不多可用随机抽样法，简单随机抽样，②将总体分成均衡的若干部分指的是将总体分段，在第1段内采用简单随机抽样确定一个起始编号，在此编号的基础上加上分段间隔的整倍数即为抽样编号，系统抽样，③个体有了明显了差异，所以选用分层抽样法，分层抽样，故选A．【点评】简单随机抽样是一种最简单、最基本的抽样方法．常用的简单随机抽样方法有抽签法和随机数法．简单随机抽样和系统抽样过程中，每个个体被抽取的可能性是相等的．10．某学院的A，B，C三个专业共有1200名学生，为了调查这些学生勤工俭学的情况，拟采用分层抽样的方法抽取一个容量为120的样本．已知该学院的A专业有380名学生，B专业有420名学生，则在该学院的C专业应抽取的学生是（）A．42名B．38名C．40名D．120名【考点】分层抽样方法．【专题】概率与统计．【分析】根据全校的人数和A，B两个专业的人数，得到C专业的人数，根据总体个数和要抽取的样本容量，得到每个个体被抽到的概率，用C专业的人数乘以每个个体被抽到的概率，得到结果．【解答】解：∵C专业的学生有1200﹣380﹣420=400，由分层抽样原理，应抽取120×=40名．故选C．【点评】本题考查分层抽样，分层抽样过程中，每个个体被抽到的概率相等，在总体个数，样本容量和每个个体被抽到的概率这三个量中，可以知二求一．11．动点A在圆x2+y2=1上移动时，它与定点B（3，0）连线的中点的轨迹方程是（）A．（x+3）2+y2=4 B．（x﹣3）2+y2=1 C．（2x﹣3）2+4y2=1 D．（x+3）2+y2=【考点】轨迹方程；中点坐标公式．【专题】计算题．【分析】根据已知，设出AB中点M的坐标（x，y），根据中点坐标公式求出点A的坐标，根据点A在圆x2+y2=1上，代入圆的方程即可求得中点M的轨迹方程．【解答】解：设中点M（x，y），则动点A（2x﹣3，2y），∵A在圆x2+y2=1上，∴（2x﹣3）2+（2y）2=1，即（2x﹣3）2+4y2=1．故选C．【点评】此题是个基础题．考查代入法求轨迹方程和中点坐标公式，体现了数形结合的思想以及分析解决问题的能力．12．直线y=x+b与曲线有且仅有一个公共点，则b的取值范围是（）A．B．﹣1＜b≤1或C．D．【考点】直线与圆相交的性质．【专题】计算题；数形结合．【分析】把曲线方程整理后可知其图象为半圆，进而画出图象来，要使直线与曲线有且仅有一个交点，那么很容易从图上看出其三个极端情况分别是：直线在第四象限与曲线相切，交曲线于（0，﹣1）和另一个点，及与曲线交于点（0，1），分别求出b，则b的范围可得．【解答】解：化简得x2+y2=1注意到x≥0所以这个曲线应该是半径为1，圆心是（0，0）的半圆，且其图象只在一四象限．这样很容易画出图来，这样因为直线与其只有一个交点，那么很容易从图上看出其三个极端情况分别是：直线在第四象限与曲线相切，交曲线于（0，﹣1）和另一个点，及与曲线交于点（0，1）．分别算出三个情况的B值是：﹣，﹣1，1．因为B就是直线在Y轴上的截距了，所以看图很容易得到B的范围是：﹣1＜b≤1或b=﹣故选B【点评】本题主要考查了直线与圆相交的性质．对于此类问题除了用联立方程转化为方程的根的问题之外，也可用数形结合的方法较为直观．二、填空题（本大题共4小题，每小题5分，共20分）13．实数x，y满足x2+y2﹣4x+3=0，则的最大值是．【考点】直线与圆的位置关系．【专题】直线与圆．【分析】圆即（x﹣2）2+y2=1，而表示圆上的点（x，y）与原点O连线的斜率，显然，当过原点的直线和圆相切时，斜率取得最值．由于OA=2AN=2AM，故有∠NOA=∠MOA=30°，故ON的斜率等于tan30°=，为所求的最大值．【解答】解：x2+y2﹣4x+3=0 即（x﹣2）2+y2=1，表示以A（2，0）为圆心，半径等于1的圆．而表示圆上的点（x，y）与原点O连线的斜率，如图所示：ON OM为圆的两条切线，显然，当过原点的直线和圆相切时，斜率取得最值．由于OA=2AN=2AM，故有∠NOA=∠MOA=30°，故ON的斜率等于tan30°=，为最大值，故答案为：．【点评】本题主要考查圆的标准方程，直线的斜率公式，直线和圆的位置关系，属于中档题．14．二进制数1101（2）化为五进制数为23（5）．【考点】进位制．【专题】计算题．【分析】先将二进制化为十进制，然后利用十进制化为其它进制的“除k取余法”方法即可求出所求．【解答】解：根据二进制和十进制之间的关系得：1101（2）=1×20+0×21+1×22+1×23=1+4+8=13，再利用“除5取余法”可得：13÷5=2…3，2÷5=0 (2)∴化成5进制是23（5）故答案为：23（5）．【点评】本题以进位制的转换为背景考查算法的多样性，解题的关键是熟练掌握进位制的转化规则，属于基础题．15．点P（1，2，3）关于y轴的对称点为P1，P关于坐标平面xOz的对称点为P2，则|P1P2|= 2．【考点】空间两点间的距离公式．【专题】计算题．【分析】由题意求出P关于坐标平面xOz的对称点为P2的坐标，即可求出|P1P2|．【解答】解：∵点P（1，2，3）关于y轴的对称点为P1，所以P1（﹣1，2，﹣3），P关于坐标平面xOz的对称点为P2，所以P2（1，﹣2，3），∴|P1P2|==2．故答案为：2【点评】本题是基础题，考查空间点关于点、平面的对称点的求法，两点的距离的求法，考查计算能力．16．某单位为了了解用电量y度与气温x℃之间的关系，随机统计了某4天的用电量与当天气温．由表中数据得线性方程=+x中=﹣2，据此预测当气温为5℃时，用电量的度数约为40 ．【考点】回归分析的初步应用．【专题】计算题；概率与统计．【分析】根据所给的表格做出本组数据的样本中心点，根据样本中心点在线性回归直线上，利用待定系数法做出a的值，现在方程是一个确定的方程，根据所给的x的值，代入线性回归方程，预报要销售的件数．【解答】解：由表格得=（14+12+8+6）÷4=10， =（22+26+34+38）÷4=30即样本中心点的坐标为：（10，40），又∵样本中心点（10，40）在回归方程上且b=﹣2∴30=10×（﹣2）+a，解得：a=50，∴当x=5时，y=﹣2×（5）+50=40．故答案为：40．【点评】本题考查线性回归方程，两个变量之间的关系，除了函数关系，还存在相关关系，通过建立回归直线方程，就可以根据其部分观测值，获得对这两个变量之间整体关系的了解．三、解答题（17题10分，其余各题每题12分）17．用秦九韶算法计算多项式f（x）=2x6﹣2x5﹣x3+x2﹣2x+4，当x=2时，求f（x）的值．【考点】秦九韶算法．【专题】计算题；对应思想；定义法；算法和程序框图．【分析】把所给的多项式写成关于x的一次函数的形式，依次写出，得到最后结果，从里到外进行运算，得到要求的值．【解答】解：由秦九韶算法计算多项式f（x）=2x6﹣2x5﹣x3+x2﹣2x+4=（（（（（2x﹣2）x+0）x﹣1）x+1）x﹣2）x+4．∴当x=2时的值时，V0=2，V1=2，V2=4，V3=7，V4=15，V5=28，V6=60，∴当x=2时，f（x）=60．【点评】本题考查秦九韶算法，本题解题的关键是对多项式进行整理，得到符合条件的形式，不管是求计算结果还是求加法和减法的次数都可以18．已知两直线l1：ax﹣by+4=0，l2：（a﹣1）x+y+b=0．求分别满足下列条件的a，b的值．（1）直线l1过点（﹣3，﹣1），并且直线l1与l2垂直；（2）直线l1与直线l2平行，并且坐标原点到l1，l2的距离相等．【考点】两条直线垂直与倾斜角、斜率的关系；两条直线平行与倾斜角、斜率的关系．【专题】计算题．【分析】（1）利用直线l1过点（﹣3，﹣1），直线l1与l2垂直，斜率之积为﹣1，得到两个关系式，求出a，b的值．（2）类似（1）直线l1与直线l2平行，斜率相等，坐标原点到l1，l2的距离相等，利用点到直线的距离相等．得到关系，求出a，b的值．【解答】解：（1）∵l1⊥l2，∴a（a﹣1）+（﹣b）•1=0，即a2﹣a﹣b=0①又点（﹣3，﹣1）在l1上，∴﹣3a+b+4=0②由①②得a=2，b=2．（2）∵l1∥l2，∴=1﹣a，∴b=，故l1和l2的方程可分别表示为：（a﹣1）x+y+=0，（a﹣1）x+y+=0，又原点到l1与l2的距离相等．∴4||=||，∴a=2或a=，∴a=2，b=﹣2或a=，b=2．【点评】本题考查两条直线垂直与倾斜角、斜率的关系，两条直线平行与倾斜角、斜率的关系，考查计算能力，是基础题．19．已知圆C：（x﹣1）2+（y﹣2）2=2，点P坐标为（2，﹣1），过点P作圆C的切线，切点为A，B．（1）求直线PA，PB的方程；（2）求过P点的圆的切线长；（3）求直线AB的方程．【考点】圆的切线方程；直线的一般式方程．【专题】计算题；直线与圆．【分析】（1）设切线方程斜率为k，由切线过点P，表示出切线方程，根据圆标准方程找出圆心C坐标与半径r，根据直线与圆相切时，圆心到切线的距离等于圆的半径，利用点到直线的距离公式列出关于k的方程，求出方程的解得到k的值，即可确定出切线方程．（2）通过p到圆心C的距离、圆的半径以及切线长满足勾股定理，求出切线长即可．（3）利用（2）写出圆心为P的圆的方程，通过圆系方程写出公共弦方程即可．【解答】解：（1）设切线的斜率为k，∵切线过点P（2，﹣1），∴切线方程为：y+1=k（x﹣2）即：kx﹣y﹣2k﹣1=0，又圆C：（x﹣1）2+（y﹣2）2=2的圆心坐标为（1，2），半径为，由点到直线的距离公式，得： =，解得：k=7或k=﹣1，则所求的切线方程为：x+y﹣1=0和7x﹣y﹣15=0．（2）圆心C到P的距离为： =．∴切线长为： =2．（3）以P为圆心，切线长为半径的圆的方程为：（x﹣2）2+（y+1）2=8…①由圆C：（x﹣1）2+（y﹣2）2=2，…②②﹣①可得AB的方程：（x﹣1）2+（y﹣2）2﹣（x﹣2）2﹣（y+1）2=﹣6，可得x﹣3y+3=0．【点评】此题考查了直线与圆的位置关系，涉及的知识有：两点间的距离公式，点到直线的距离公式，以及圆的标准方程，当直线与圆相切时，圆心到直线的距离等于圆的半径，熟练掌握此性质是解本题的关键．20．某产品的广告支出x（单位：万元）与销售收入y（单位：万元）之间有下表所对应的数（2）求出y对x的线性回归方程；（3）若广告费为9万元，则销售收入约为多少万元？【考点】线性回归方程．【专题】应用题．【分析】（1）根据所给的数据构造有序数对，在平面直角坐标系中画出散点图．（2）观察散点图可知各点大致分布在一条直线附近，得到这组数据符合线性相关，求出利用最小二乘法所需要的数据，做出线性回归方程的系数，得到方程．（3）把x=9代入线性回归方程，估计出当广告费为9万元时，销售收入约为129.4万元．【解答】解：（1）散点图如图：（2）观察散点图可知各点大致分布在一条直线附近，列出上列表格，以备计算于是，，代入公式得，==，===﹣2，故y与x的线性回归方程为=x﹣2，其中回归系数为，它的意义是：广告支出每增加1万元，销售收入y平均增加万元．（3）当x=9万元时，y=×9﹣2=129.4（万元）．【点评】本题考查线性回归方程的写法和应用，本题解题的关键是正确求出线性回归方程的系数，本题是一个基础题．21．为了了解学生的体能情况，某校抽取部分学生进行一分钟跳绳次数测试，所得数据整理后，画出频率分布直方图，图中从左到右各小长方形面积之比为2：4：17：15：9：3，第二小组频数为12．（1）学生跳绳次数的中位数落在哪个小组内？（2）第二小组的频率是多少？样本容量是多少？（3）若次数在110以上（含110次）为良好，试估计该学校全体高一学生的良好率是多少？【考点】频率分布直方图；众数、中位数、平均数．【专题】计算题；图表型．【分析】（1）根据中位数落在的位置，刚好把频率分步直方图分成左右面积相等两部分，计算前三组与前四组的频率和即可得答案；（2）根据各个小矩形的面积之比，求出第二组的频率，再根据所给的频数，求出样本容量．（3）根据频率分步直方图求出次数在110以上的频数，用频数除以样本容量得到达标率，进而估计全体学生的达标率．【解答】解（1）由题意得：前三组频率和为=＜，前四组频率之和为=＞，∴中位数落在第四小组内；（2）由题意第二小组的频率为： =0.08，又∵频率=，∴样本容量===150，（3）次数在110以上（含110次）为良好，∴良好的学生数为150﹣（+）×150=132，由图可估计所求良好率约为： =88%．【点评】本题考查频率分布直方图，考查用样本的频率分布估计总体的频率分布，解答的关键是读懂频率分布直方图的数据并进行正确运算．22．已知圆C：x2+y2+Dx+Ey+3=0关于直线x+y﹣1=0对称，圆心C在第四象限，半径为．（Ⅰ）求圆C的方程；（Ⅱ）是否存在直线l与圆C相切，且在x轴上的截距是y轴上的截距的2倍？若存在，求直线l的方程；若不存在，说明理由．【考点】直线和圆的方程的应用．【专题】直线与圆．【分析】（Ⅰ）将圆的方程化为标准方程，利用圆关于直线x+y﹣1=0对称，圆心C在第四象限，半径为，建立方程组，即可求圆C的方程；（Ⅱ）分类讨论，设出直线方程，利用直线l与圆C相切，建立方程，即可求出直线l的方程．【解答】解：（Ⅰ）由x2+y2+Dx+Ey+3=0得：∴圆心C，半径，由题意，，解之得，D=﹣4，E=2∴圆C的方程为x2+y2﹣4x+2y+3=0…（7分）（Ⅱ）由（Ⅰ）知圆心C（2，﹣1），设直线l在x轴、y轴上的截距分别为2a，a．当a=0时，设直线l的方程为kx﹣y=0，则解得，此时直线l的方程为…（10分）当a≠0时，设直线l的方程为即x+2y﹣2a=0，则，∴，此时直线l的方程为…（13分）综上，存在四条直线满足题意，其方程为或…（14分）【点评】本题考查圆的方程，考查直线与圆的位置关系，考查分类讨论的数学思想，考查学生的计算能力，属于中档题．。

安徽省怀宁县高河中学2024-2025学年高二上学期12月月考英语试题(含答案)

高河中学2024年秋高二12月月考英语试题时间：120分钟总分：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。

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 is the woman going to buy for MariaA. A ring.B. A T-shirt.C. A handbag.2. What does the woman probably want to be after graduationA. A doctor.B. A reporter.C. An architect.3. Why does the man talk to the womanA. To offer an invitation.B. To make a holiday plan.C. To recommend a gift.4. What does the man do every day nowA. He goes jogging.B. He plays tennis.C. He has a walk.5. Where are the speakers probablyA. At a hotel.B. At a bookstore.C. At a ticket office.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。

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 probably talking aboutA. A concert.B. A football match.C. A dance competition.7. How did the woman feel about the eventA. Excited.B. Disappointed.C. Worried.听第7段材料，回答第8至10题。

安徽省怀宁县高河中学2023-2024学年高二下学期5月期中英语试题

安徽省怀宁县高河中学2023-2024学年高二下学期5月期中英语试题一、阅读理解There are many great independent bookstores in North Carolina. If you’re looking for some good books to read, you can visit the bookstores listed below.Purple Crow BooksIt’s a literary meeting place right in historic downtown Hillsborough. It was opened in 2009. You can find new books, used ones or the latest works by local authors. Because it specializes in local writers, Purple Crow Books is a favorite tourist destination. It’s a great place to grab a signed copy of a book by your favorite local author.109 West King Street, Hillsborough, NC 27278Quail Ridge BooksThis is an independent bookstore with friendly staff dedicated to (致力于) providing the best customer service. Founded in 1984 by Nancy Olson, the store provides a wide variety of carefully selected books, events, discussion groups and town hall meetings. The owner Lisa Poole bought the store in 2013 and is dedicated to serving the locals.4209-100 Lassiter Mill Road, Raleigh, NC 27609Pomegranate BooksThis bookstore is located in the historic Borkenhagen House in the Winter Park neighborhood of Wilmington, North Carolina. It has been finding good homes for great books since 2005. It stocks a carefully selected collection of literary and life-enhancing titles for all ages and also features locally-made cards and gift items.4418 Park Ave, Wilmington, NC 28403Scuppernong BooksThis bookstore was opened on December 21, 2013 and has been an important part of the rebirth of downtown Greensboro ever since. It features fiction and poetry along with a remarkable children’s section and a broad range of general interest titles. Within the store is a busy cafe serving coffee, wine, and beer sourced primarily from local small businesses.304 South Elm Street, Greensboro, NC 274011．What is special about Purple Crow Books?A．It holds various reading activities.B．It mainly sells books by local writers.C．It focuses on selling second-hand books.D．It is supported by local small businesses.2．Which bookstore has the longest history?A．Quail Ridge Books.B．Purple Crow Books.C．Pomegranate Books.D．Scuppernong Books.3．Who would prefer to visit Scuppernong Books?A．People loving non-fiction books.B．People liking handmade cards and gifts.C．People enjoying a very quiet environment.D．People fond of buying collections of poetry.When I was a little boy growing up, my Mom, Dad, brothers and I lived in my Nana’s old house. It was surrounded by four huge vegetable gardens. And around the house so many flowers were planted. It was so beautiful there in the spring and summer. That wasn’t all, though. On the back porch Nana had dozens of potted plants hanging on hooks. She watered them, talked to them and nurtured them. And in the winter she would carry them all inside and set them on shelves near the windows of our enclosed front porch. There with a little water and a lot of love she kept them alive, green, and growing even during the coldest, darkest months.As a boy I was puzzled by all the effort she put into them. I understood the vegetable gardens. They helped to feed the family all winter long. I even understood the flowers around the house. They were pretty and smelled so sweet in the summer months. The reason she put so much effort into caring for those potted plants, however, eluded me. They didn’t give us any food and they rarely had any flowers on them. They remained a mystery to my child’s mind.Now as I’ve grown older I am beginning to understand why my Nana had those potted plants. It is the same reason I have so many pictures of sunrises and forests hanging in my home. They remind me during the dark, cold, winter months full of bare trees and yellow grass that light, love, and growth still exist. They remind me that Spring will come again. They remind me that God loves us and is still with us even when the earth doesn’t show it.Today I see Nana’s potted plants in a new light. They are worth every bit of the love and care she put into them. But what tells me most about light and love is Nana herself. She is light to my soul even in my darkest times. And her love lives on in my heart even if she is in Heaven. May we all learn to love as she loved, shine as she shined, and live as she lived.4．Which of the following is close in meaning to the underlined word “eluded” in paragraph 2?A．Upset.B．Misguided.C．Confused.D．Distracted. 5．Why was Nana fond of potted plants?A．They were a sign of hope.B．They resembled sunrise and forests.C．They constantly kept Nana company.D．They were portable and easy to nurture. 6．What is the author’s purpose of writing the passage?A．To advocate growing potted plants.B．To sing the praise of Nana’s spirit and love.C．To stress the benefits of a positive lifestyle.D．To recall beautiful memories spent with Nana.7．What’s the type of the passage?A．A non-fiction.B．A book review.C．An agricultural leaflet.D．A celebrity biography.Extremely authentic-looking prosthetic (假体的) eyes can now be 3D-printed in a fraction of the time it would normally take to produce the eyes by hand, scientists demonstrate in a new study.The new technology can create a prosthetic eye in just 90 minutes, compared with the eight hours it would normally take a skilled technician, or ocularist, to produce one by hand. The 3D-printed eyes require five times less labor to make than traditional methods, the scientists behind the technology wrote in a new paper published in the journal Nature Communications.The 3D-printed eyes also look more natural than traditional prostheses; this could help improve a patient’s self-confidence in using the devices. “Patients are very conscious about wearing a prosthesis, and they don't want others to notice,” Johann Reinhard, lead study author and a researcher at the FraunhoferInstitute for Computer Graphics Research in Germany, told us. “With these more realistic eves, it might help them to participate more in society,” he said.The new printing approach involves taking a specialized image of a patient’s empty eye socket and of their healthy eye. These images are then processed and used to draft blueprints that can be sent to be 3D-printed in the lab. These 3D-printed eyes closely replicate the color, size and structure of the patient's healthy eye and are particularly good at capturing the colored part of the eye, known as the iris, and the white part of the eye, called the sclera. Once finished, the eyes take15 to 30 minutes to be installed by an ocularist, Reinhard said.“About 80% of adults in need of prosthetic eyes could theoretically have one made this way, either due to a birth defect that causes an eye to be small or missing or because they’ve lost an eye,” the team said. “However, this wouldn’t be possible for all patients, such as those who have a very complex eye socket, as the software wouldn’t be able to find a matching shape for the prosthetic eye,” Reinhard said.“More data are needed to see if this technique could also be used to make prosthetic eyes for children,which would require more regulation,” Reinhard said.8．Which of the following words can be best used to describe the 3D-printed eyes?A．Eco-friendly.B．Time-consuming.C．Fit-of-all.D．Realistic-looking. 9．How does the author develop his idea mainly in Paragraph 2?A．By justifying an idea.B．By giving examples.C．By providing evidence.D．By making a comparison.10．Which statement is true about a 3D-printed eye?A．The patients prefer to show off their prosthetic eyes.B．Every adult in need of a prosthetic eye can’t possibly have one.C．It normally takes a skilled technician, or ocularist, to produce one.D．The installment of one is 5 times faster than a traditional prosthetic eye.11．Which of the following would be the best title for the text?A．3D-printed Eyes——a Better AlternativeB．3D Printing—a Promising TechnologyC．3D-printed Eyes—a Source of ConfidenceD．Prosthetic Eyes—the Hope for all Blind PeopleRecent experiments by psychologists at the University of Pittsburgh shed new light on how we learn and how we remember our real-world experiences. The research, described in the March 12, 2024 online edition of proceedings of the National Academy of Science, suggests that varying what we study and spacing out our learning over time can both be helpful for memory.“Lots of prior research has shown that learning and memory benefit from spacing study sessions out,” said Benjamin, a director of the Causal Learning and Decision-Making Lab at Pitt.“For example, if you cram the night before a test, you might remember the information the next day for the test, but you will probably forget it fairly soon,” he added. “In contrast, if you study the material on different days leading up to the test, you will be more likely to recall it for a longer period of time.”But “spacing effect” has been based on the idea that what you are trying to learn repeats identically each time. Yet that is rarely the case in real life, when some features of our experience s may stay the same,but others are likely to change. For example, imagine repeat trips to your local coffee shop. While many features may stay the same on each visit, a new barista (咖啡师) may be serving you. How does the spacing effect work in light of such variation across experiences?In two experiments, researchers asked participants to repeatedly study pairs of items and scenes that were either identical on each repetition or in which the item stayed the same but the scene changed each time. Researchers found that spaced learning benefited item memory. But they also found that memory was better for the items that had been paired with different scenes compared with those shown with the same scene each time.“It is hard to provide clear advice for things like studying for a test because the sort of material can be so different,” Benjamin said. “But in theory our findings should be broadly relevant to different sorts of tasks, like remembering someone’s name and things about them and learning new vocabulary in a foreign language.”12．In what way is “spacing effect” challenged in reality?A．The lack of sufficient learning time.B．The misuse of the memory technique.C．The repetition of the learning process.D．The variability of real-life experiences.13．Which behavior is least likely to contribute to long-term memory?A．Integrating spaced repetition into learning.B．Studying intensively the night before a test.C．Linking new information with different tasks.D．Learning materials against various backgrounds.14．What will Benjamin suggest readers do to remember a new person's name?A．Use the name in conversations shortly after meeting them.B．Repeat the name by associating it with different information.C．Practice item memory to create a mental image with the person.D．Engage in active listening when they are introducing themselves.15．What is the text mainly about?A．The impact of constant spaced study.B．The study of various and self-paced learning.C．The role of varied learning and spaced study.D．The significance of repeated learning sessions.Getting up early is actually the secret to the success of many people. 16It may improve your cognitive (认知的) function.People who get up early in the morning can concentrate better, are more attentive, and stay energized throughout the day. 17 Therefore, focusing on important tasks earlier will allow you to make better decisions than people who work later. A 2010 Harvard University study found that morning people have better problem-solving skills, get better grades in school, and land higher-paying jobs.It helps you sleep better.Waking up early makes going to bed earlier easier and helps you get consistent sleep and wake time. 18 Getting adequate sleep may lower your blood pressure, boost your mood, as well as improve your brain function. People who tend to be night owls are more likely to feel tired and develop sleep disorders.It gives you more time to eat breakfast.19 After all, food is the fuel people need to feel energized and ready to face the world. Just drinking a cup of coffee at the drive-through will not give you what you need. Enjoy a nutritious breakfast of health y bread rolls or yogurt and fruit to start your day off right.It gives you more time for yourself.Waking up early allows you to watch the sunrise and have quiet time at home. Self-care is vitally important, so take this time to enjoy your coffee, take your dog for a long walk, write your shopping list, or just take some extra me time. People generally think it is difficult to get more time for themselves. 20A．Try going to the gym or running first in the morning.B．People’s brains are more alert (灵敏的) in the morning.C．Nothing starts a day better than eating a healthy breakfast.D．This helps to regulate your body clock and leads to better sleep.E．Check out these four good reasons to wake up early in the morning.F．Here are four methods that will help you start your day feeling relaxed.G．However, setting your alarm clock earlier will give you the gift of extra time.二、完形填空I am employed in an educational institution. Each day, following the 21 of the students, a delightful young woman named Claire often arrives to clean the classrooms and offices. Once a week, I 22 after hours, doing some extra work. So I often chat for a few minutes with her. She always makes me feel good because she's a good listener and willing to talk about her children. Our 23 are consistently enjoyable.Last week, she seemed unlike her 24 self. She told me that her husband had been25 from his job, leaving them worried about their financial 26 . Later that week, whileI was in a department store, my attention was drawn to the shelves lined with sunglasses. After27 various pairs, I discovered the ideal sunglasses. As I admired my 28 , it occurred to me that Claire would look great while wearing them. 29 with my current pair, I purchased the sunglasses for Claire.Eager to surprise her, I placed them in an elegant bag and 30 put them in her closet for her discovery. The following day, Claire was chatting with a coworker as she 31 the closet. Upon 32 the bag and taking out the sunglasses and a Smile Card, her face lit up with joy. She expressed that it had been days since she had reason to smile and that this act of kindness 33 her spirits.She penned a note expressing her 34 for my heart-warming gesture. Choosing to gift her the sunglasses instead of myself brought me much satisfaction. I eagerly 35 creating more moments of joy.21．A．queue B．exit C．guidance D．plan22．A．wait B．work C．think D．remain 23．A．conversations B．jobs C．trips D．arrangements 24．A．regular B．usual C．unusual D．calm 25．A．fired B．blamed C．rewarded D．comforted 26．A．stability B．manner C．method D．support 27．A．checking out B．putting aside C．trying on D．taking up 28．A．ambition B．reflection C．conclusion D．decision 29．A．Satisfied B．Bored C．Familiar D．Careful 30．A．occasionally B．cautiously C．accurately D．secretly 31．A．achieved B．approached C．found D．removed 32．A．covering B．hiding C．spotting D．receiving 33．A．maintained B．struck C．lifted D．restored 34．A．gratitude B．comment C．preparation D．apology 35．A．doubt B．imagine C．admit D．anticipate三、语法填空阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

高二英语上学期第二次月考试题_4 (2)

怀宁中学2021-2021学年高二英语上学期第二次月考试题第I卷第一局部：听力〔一共两节，满分是30分〕第一节〔一共5小题；每一小题分，满分是分〕请听下面5段对话，选出最正确选项。

1. Who is looking for the man?A. David.B. Mary.C. Alice.2. What is the man's father probably?A. A poet.B. A teacher.C. A doctor.3. Where does the conversation probably take place?A. In a bookstore.B. In a library.C. In a museum.4. When did the exhibition begin?A. At 9:45.B. At 9:30.C. At 9:15.5. What are the speakers talking about?A. A hard day.B. Their hobbies.C. Tonight's plan.第二节〔一共15小题；每一小题分，满分是分〕请听下面5段对话或者独白，选出最正确选项。

请听第6段材料，答复第6、7题。

6. What is the man planning to do?A. Explore the seas.B. Travel across forests.C. Walk in the deserts.7. When will the man's new activity be finished?A. In October.B. In November.C. In December. 请听第7段材料，答复第8、9题。

8. What kind of movie does the man decide to see?A. A science fiction movie.B. A war movie.C. A cartoon.9. Why will the woman also go to see the movie?A. She doesn't want to stay at home alone.B. She can't find any good TV programs.C. She hasn't seen a film for a long time.请听第8段材料，答复第10至12题。

安徽省怀宁县高河中学2023-2024学年高二下学期6月月考英语试题(含答案,无听力原文及音频)

2024年春高河中学高二6月月考英语试题第一部分听力（共两节，满分30 分）做题时，请先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1．How many questions are there in the exam?A．20. B．30. C．50.2．Which country does the woman think is most suitable for the man’s needs?A．China. B．Japan. C．Vietnam.3．What does the woman probably do for a living?A．She’s a designer. B．She’s a teacher. C．She’s a farmer.4．What are the speakers mainly discussing?A．How to use the best cameras.B．How to get good photos.C．How to use photo software.5．What will the man probably do for the woman?A．Plant trees on her land.B．Build a pool in her yard.C．Sell her some vegetables.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。

安徽省怀宁县高河中学2011-2012学年高二下学期第三次月考英语试题.pdf

----_______ I was last night.
A. What .
B .Where .
C. That
D. When.
23. For more information about Cambridge,_____ our website at
A. visiting
B. visit
第卷第一部分：听力（共两节，满分30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. Wh’s sister now ? A．B． C. On her way home . 2. What is the probable relationship between the speakers? A．． B．．C．C． 3. Wh does the woman suggest doing ? A．． B．． C．their outing 4. What are the speakers mainly talking about ? A．．B．． C．． 5. What ? A．． B．．C．．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，你将有时问阅读各个小题，每小题5秒钟；听完后，各个小题将给出5秒钟的作答时间。每段对话或独自两遍。听第6段材料，回答第6题。 6．? A．． B．At．C．． 7．Wh? A．． B．．C．．8．What is the weather probably like at the seaside during the day? A．．听第7段材料，回答第至1题。9．What ? A．． B．．C．10．? A．． A. He doesn’t think it’ll rain B. He thinks it’ll rain C. He thinks it’ll be cloudy 听第8段材料，回答第至题。 1．Where is the ? A．．13．? A．． B．听第9段材料，回答第1至17题。1 5．? A．． B．．C．． 16． A．’s a bit small． B．’s too expensive ．C．’s too large． 17．What ? A．．听第10段材料，回答第18至20题1 8．Wh? A．． C．． 1 9．Why d? A．． B．． C．． 20．? A． B．C．第二部分：英语知识运用 ( 共两节，满分45分 ) ：单 ( 共15小题；每小题1分，满分15分 ) , 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. ---Tony, do renember to send the report to the sales manager ! ----_______ A. Got it. B. Made it . C. Heard it . D. Followed it. 22. What were you trying to prove to the police ?

安徽省怀宁县高河中学2020-2021学年高二下期中考试英语试卷

怀宁高河中学2020-2021学年度第二学期第一次质量检测高二英语试题第一部分听力（共两节，满分30分）第一部分听力（共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

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。

例：How much is the shirt?A.£19.15.B. £9.18.C. £9.15.答案是C。

1.Which place does the man advise the woman to go through?A.The main street.B.The museum.C.The park.2. What is the man going to do?A. Have a trip.B. Go shopping.C.Brush teeth.3. What is the probable relationship between the speakers?A.Colleagues.B. Classmates.C.Couples.4. Where does this conversation probably take place?A.In a park.B. In a classroom.C.In an apartment building.5.When do the man's classes end?A. At 3 pm.B. At 4 pm.C. At 5 pm.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。

安徽省怀宁县高河中学2023-2024学年高二下学期5月期中英语试题(含答案,无听力音频无听力原文)

2024年春高河中学高二期中英语试题第一部分听力（共两节，满分30分）1．Where is the new stadium?A．Near Third Street.B．Across from the theater. C．Opposite the supermarket. 2．What are Celia and Jack probably doing now?A．Having coffee. B．Shopping.C．Walking in the park.3．Why can’t the woman go to the movies with the man?A．She will visit her uncle and aunt.B．She will accompany her relatives to the castle.C．She has no interest in watching the movies.4．What does the man think of the woman’s dream?A．It’s great. B．It’s practical. C．It’s impossible.5．How long did the woman’s father live abroad?A．Six months B．Twelve months C．Eight months听下面一段较长对话，回答以下小题。

6．Which part did the man fall on?A．His shoulder B．His arm C．His foot.7．What will the woman do next?A．Ask the man more questions B．Take off the man’s clothes C．Give the man a check-up 听下面一段较长对话，回答以下小题。

安徽省怀宁县高河中学11-12学年高二下学期第三次月考英语试题

高河中学2011-2012学年高二下学期第三次月考英语试题第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. Where is the woman’s sister now ?A．In a hospital B．At home C. On her way home .2. What is the probable relationship between the speakers?A．Boss and secretary．B．Customer and salesgirl．C．Customer and waitress．3. What does the woman suggest doing ?A．Having dinner at home．B．Going on a picnic．C．Delaying their outing 4. What are the speakers mainly talking about ?A．Who has used the paper．B．Whether the paper has been used．C．How to use the waste paper．5. What happened to the speakers?A．They came across a car accident．B．They broke the window．C．They found something stolen．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。