精品解析：江苏省启东中学2020-2021学年高三上学期英语试题(原卷版)
2021/2021学年度第一学期高三测试
英语试卷 第一节（共5小题；每小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1.What do we learn from the conversation? A.The man hates to lend his tools to other people. B.The man hasn’t finished working on the bookshelf. C.The man lost those tools. 2.What do we know about the man? A.He doesn’t like his job. B.He will not give up his job. C.He has a large family to support. 3.What’s the relationship between the two speakers? A.Classmates. B.Teachers and students. C.Headmaster and teachers. 4.Who is worried about gaining weight? A.The son. B.Aunt Louise. C.The mother. 5.Why doesn’t the woman buy the coat? A.It is expensive. B.There isn’t her size. C.She doesn’t like the color. 第二节（共15小题；每小题1.5分，满分22.5分） 听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料，回答第6、7题。 6.What is the woman probably? A.A hotel clerk. B.A house agent C.A shop assistant. 7.What is the pillow filled with? A.Cotton. C.Dried flowers. C.A special material. 听第7段材料，回答第8至9题。 8.What kind of skills does the woman not have? A.Operating computers. B.Doing business. C.Typing. 9.Which company did the woman work in? A.A trading company and a trust company. B.A trust company. C.A trading company. 听第8段材料，回答第10至12题。 10.What’s wrong with the woman’s mother? A.She has been sick. B.She misses her family and friends. C.She can’t earn enough to support her family. 11.Where does the woman live? A.In America B.In India. C.In Britain. 12.What does the woman plan to do next year? A.Study a new language. B.Travel to India. C.Visit her father’s native country. 听第9段材料，回答第13至16题。 13.How many Economics lectures will the man attend every week? A.Five times, from Monday to Friday. B.Two times, on Thursday and Friday. C.Two times, on Tuesday and Thursday. 14.Why did the man miss the meeting for the new students yesterday? A.Because he hadn’t received any notice about that meeting. B.Because he had to attend the group discussion. C.Because he had to do some part time jobs yesterday. 15.If a student wants to earn the scholarship, what is the required attendance rate? A.80% B.90% C.100% 16.Which of the following statements is NOT true according to the conversation? A.The man is a grade one student in the university. B.The man has to work after school. C.The man thinks the time of the lecture is too early.
听第10段材料，回答第17至20题。 17.How long has the speaker lived in a big city? A.One year. B.Ten years. C.Eighteen years. 18.What is the speaker’s opinion on public transport? A.It’s comfortable. B.It’s time-saving. C.It’s cheap. 19.What is good about living in a small town? A.It’s safer. B.It’s healthier. C.It’s more convenient. 20.What kind of life do the speakers seem to like most?
A.Busy. B.Colorful. C.Quiet. 第二部分 阅读理解 第一节 阅读下列短文，从每题所给的四个选项中，选出最佳选项，并涂黑 A Feeling down? Why not visit one of these four websites? Collegehumor.com This site was created in 1999 and gets about seven million visitor per month. Two of its videos have been chosen as winners for the Webby Awards: Pixar Intro Parody and Web Site Story. Other funny videos to looks out for include a debate on the advantages and disadvantages of going to college. Funnyordie.com This site has lots of really funny videos And as the name suggests, users vote on videos, choosing the options “funny” or “die”. If the video receives too many “die” votes, it's sent to the site's “crypt”. But if it gets enough “funny” votes, it goes into the Hall of Fame. The site was crated in 2006 by comedians Will Ferrell and Adam McKay. The site’s first video. The Landlord has had over 70 million views Videos to watch out for include Just a Tip: Taxi, with some valuable advice on how to catch a taxi, and Over Analyzing Texts, with some tips on how to respond to text messages Reddit.com Founded in 2005, Reddit.com is a social news and entertainment website. Registered users put funny content in the form of the video link or texts on the website. Other users then vote these things “up” or “down”. The most recent
2020-2021学年江苏省扬州市中学西区校高三英语期末试卷含部分解析
2020-2021学年江苏省扬州市中学西区校高三英语期末试卷含解析一、选择题1. —By the way, how are you getting on with your new guys?—____．I've got to know them all．A．That's OK B．So pleasedC．Very kind D．Much better参考答案：D2. We teenagers are reminded to our manners in public places.A．care B．notice C．look D．mind参考答案：D3. We bought a TV second-hand from a man who ____ a notice on the university bulletin board.A set up B. put up C. set on D. put on参考答案：B略4. It may be necessary to stop _____ in the learning process and go back to the difficult points in the lessons．（）A．at intervals B．at random C．at ease D．at length参考答案：Aat intervals 不时；at random 随意的；at ease 自由自在；at length最后．联系前后语境，根据在教学过程中的停顿去回顾重难点得知，这个停顿是偶尔的，时不时的，以便更好的掌握知识，at intervals 时不时的，符合语境，故选A5. Mr Smith never does any reading in the evening; ________.A. so does Mrs SmithB. neither doesn’t Mrs SmithC. nor does Mrs SmithD. nor Mrs Smith does参考答案：C6. —I can’t believe it! I only got a B on my project.—That’s not bad grade.— But I ________ on it for weeks.A. am workingB. have workedC. workD. worked参考答案：B7. How long ______ we take part in the college entrance examination?A. is it sinceB. will it be beforeC. is it whenD. will it be since参考答案：B8. The fact that she told a lie had a great influence on her ________.A. ambitionB. statusC. reputationD. assessment参考答案：C9. The airport ___next year will help promote tourism in this area.A. being completedB. to be completedC. completedD. having been completed参考答案：B10. The bus would not have run into the river ________ for the bad tempered lady.A. if it were notB. had it not beenC. if it would not beD. should it not be参考答案：B【详解】考查if从句的虚拟语气。
江苏省启东中学高中英语复习错题集之错题6牛津译林版解析
错题6I. 单选题：1.---How would you like your coffee? ---________.A. It’s well doneB. Very nice, thank youC. One cup, that’s enoughD. The stronger , the better.2. It was dark; we decided to _____ for the night at a farmhouse?A. put awayB. put downC. put upD. put on3. ST Petersbury was in ruins: _____ fires burned everywhere.A. thatB. whichC. whereD./4. The beginning of agriculture was a big step in human progress with which nothing could _____ until our information age.A. matchB. combineC. satisfyD. compare5.In our childhood, we were often _____ by Grandma to pay attention to our table manners.A. demandedB. remindedC. allowedD. hoped6. The flu is believed _____by viruses that like to reproduce in the cells insidethe human nose and throat.A. to have been causedB. to have causedC. to be causedD. to caused7. ____much we admire Shakespeare’s comedies, we can’t agree that they are superior to his tragedies.A. AsB. HoweverC. WhileD. Although8. Much_____ we admire Shakespeare’s comedies, we can’t agree that they are superior to his tragedies.A. AsB. HoweverC. WhileD. Although9. What good is it _____ a boat when you don’t have enough spare time to use it ?A. having boughtB. to have boughtC. buyingD. to buy10. I’ve visited a lot of different places and stayed in lots of different hotels, but none ___ yours.A. matchesB. goes withC. suitsD. compares11.To most people acting is attractive, business isn't. It works ________ way around for John.A. anotherB. the otherC. otherD. any other12. After great efforts President Obama was elected to a second _____ of office.A. turnB. term C round. D. stage13. The priest made the ______ of the cross when he entered the church.A. markB. signC. signalD. gesture14. Health experts believe that even a little exercise is far better than ______ at all.A. anythingB. littleC. everythingD. none15. ----The criminal was finally sentenced to death.--- Just as a biblical idiom says, “_________________.”A. See the handwriting on the wallB. An eye for an eyeC. You reap what you sowD. Kill the fatted calf16. These years, more students have gone abroad to study, but some of them seem unable to ______ , so they have to quit.A. stick outB. hang outC. participate inD. fit in17. It snowed heavily last night and we had to use thick sticks to _____ the roof of the hut.A. hold upB. hold onC. hold backD. hold out18. Frank used to be _______ strong. But now he’s down to his last tooth.A. more thanB. far from C too much. D. less than19. On Christmas Eve, there were so many customers that the shop assistants couldn’t ______ them well.A. correspond toB. appeal toC. commit toD. attend to20. Philosophical problems arise when people ask questions that, though very _______ , have certain characteristics in common.A. relevantB. diverseC. abstractD. consistent21. _______your proposal, I’m pleased to inform you that most committee members consider it acceptable.A. ConcerningB. SeeingC. SupposingD. Considering22. ---Was his father very strict with him when he was at school?--- Yes. He had never praised him ______ he became one of the top students in his grade.A. afterB. unlessC. untilD. when23. She’s ______ is known as a nosy person---she is always dying to know what’sgoing on in others’ lives.A. whoB. whatC. whichD. that24. —You ought to have made an apology to Tom yesterday evening．—Yes, I know I ____________．A．should B．have to C．ought to have D．must have25. The serious accident and the suffering _______has caused have a great influenceon the whole company.A. theyB. itC. whichD. what26. Though_________ my opinion, my mother didn’t say anything to show that she stoodby me.A. forB. inC. onD. of27. Look! If we had begun to do the work yesterday morning, we ____ ourselves justlike them．A.would have enjoyed B．were to enjoy C．would be enjoyingD．should enjoy28. I __________in a foreign trade company for five years. Still, I don’t regretgiving up the well-paid job.A. have workedB. workedC. had workedD. wasworking29. What is concerning us greatly is ________ the workers held up in that areayesterday will be set free.A. thatB. whenC. whatD. which30. While addressing a conference Thursday, President Xi Jinping said that China-USties are not a win-loser game but ______ in which both can be winners.A. oneB. thatC. the oneD. it31. The nationwide smog should serve as a reminder to all, indicating a high timethat we ______ on what we’ve done to the environment.A. have reflectedB. reflectedC. will reflectD. arereflecting32. This will be a year of action, and that action should begin by extendingunemployment insurance for American who were _______ in the economic slowdown.A. laid offB. laid outC. laid onD. laid down33. One of the characteristics that make me different from many people is myadaptability ---I’m _______ and comfortable in new or unusual situations. A. acceptable B. respectable C. flexible D.reliable34. ---Tom, were all the students on the school bus injured?---- No, _____ only the three who got hurt.A. there wasB. there wereC. it wasD. that was35. You should be grateful to your employees, because you wouldn’t be ______ youare now without them.A. whyB. whereC. howD. which36. ---Haven’t you handed in your project?---- Yes, My classmates and I _____ on it for the whole weekend.A. have workedB. are workingC. have been workingD.worked37. ---One cannot achieve anything by sitting around and talking about it.--- I can’t agree more. ________. That’s why Johnson failed to get into college.A. A roaring lion kills no game.B. An old pan is the one that makesgood food.C. A book is a garden carried in the pocketD. A bad workman always blames histools.38. ---The scarf is nice, but the price is a little bit high.--- _______, but if you want good quality, you have to pay more.A. No wonderB. No doubtC. No problemD. No offence39. Mom often phones me, asking ______ I am getting along with my studies.A. howB. whenC. whetherD. why40. Mom often phones me, asking ______ I am getting along well with my studies.A. howB. whenC. whetherD. why41.---Have you told your parents about your decision?---Not yet. I can hardly imagine _____ they will react.A. whatB. thatC. howD. when42. A Chinese girl student was kidnapped while traveling abroad, ______ shocked us Chinese.A. a fact thatB. thatC. one thatD. the one that43.It is hard for elderly people to see ______ convenience a smart hone can bring to us.A. whichB. whoseC. whatD. how44.Many restaurant menus include the origins of a dish, _______ it is prepared, what the main ingredients are, and which farms the ingredients come from.A. whenB. howC. whatD. which45._____ matters much ______ our headmaster supports our plan.A. As, thatB. It, whetherC. That, ifD. What, whether46. _____ matters much is ______ our headmaster supports our plan.A. As, thatB. It, whetherC. That, ifD. What, whether47.Jim, your sister has done most of the cleaning. Could you finish ______ when you are free?A. the othersB. the otherC. anotherD. the rest48.---How many of you made it to the top of the mountain in the end?---_______. It was really tough.A. No oneB. NeitherC. NoneD. Nobody49. ---What can I do for you?---I’d like to buy a present for my son, ______ at a proper price but of great use.A. oneB. itC. whichD. that50.Some day, we are sure to understand the things that matter are ______ that can’t always be bought with money.A. theseB. thoseC. onesD. what51.Nowadays, the approaches to language teaching are more advanced than ______ in the 1960s.A. theseB. themC. onesD. those52.Although it doesn’t look like _______, the entire cathedral is made of wood.A. itB. thatC. thisD. such53. As Mrs Roosevelt put ______, I’d rather light a candle than complain about the darkness.A. itB. thatC. thisD. them54.---Have you bought the newly-produced equipment on display?---Not yet, for I still prefer _____ at my home.A. the oneB. itC. thisD. that55.When you are faced with failure, ______ you need is to take courage and try again.A. thatB. allC. whichD. it56. ---Is Tony a man with good manners?---I don’t think so. As a matter of fact, he is _____ but polite.A. somethingB. anythingC. everythingD. nothing57. Please write the word here _____ meaning escapes you.A. whereB. thoseC. whoseD. which58.---When did he come back last night?---It was at 8 _______ I was watching a documentary on TV.A. sinceB. thatC. whenD. which59.There are many examples in our life _______ a word of appreciation changes a person completely.A. whichB. thatC. whenD. where60.It is wise to find a place to travel ______ has a lot to present but hasn’t yet been hit by high price of admission as well as mass popularity.A. whereB. thatC. in whichD. what61.The school library is a resource _______ you can take advantage to make progress.A. in whichB. on whichC. from whichD. of which62.More than ten family members gathered at the table _____ were traditional local oods such as preserved ham sausage.A. whatB. whichC. thatD. where63.Between classes is a ten-minute break, ______ students can relax themselves.A. whenB. whereC. whoseD. which64.Steven Jobs , ______ rise to fame inspires millions of people, will be remembered generation after generation.A. whatB. whichC. whoseD. who65.You should realize the fact that when you graduate from university, you are still not prepared for the possible situations_______ you may face in the working world.A. whereB. thatC. whatD. when66.You should realize the fact that when you graduate from university, you are still not prepared for the possible situations____ you don’t know how to solve the problems that appear in the job.A. whereB. thatC. whatD. when67.Now there is just one point ______I wish you to make quite clear.A. whereB. whichC. whatD. when68. They have reached the point _____ they have to separate with each other.A. whereB. whichC. whatD. when69.He said it was this classroom _____ he found his lost watch and _____ he would take good care of it from then on.A. where, /B. when, whatC. that, whatD. where, that70.______, I attended the meeting instead of him.A. He was illB. His being illC. Him being illD. He being ill71. I wronged the poor honest man very much, _____ I made an apology afterwards.A. for whomB. for whichC. with whomD. with which72. He was admitted to our school two years ago, a top school in our hometown, ______ he has been crazy about reading electronic novels, killing time.A. after thatB. since thatC. after whenD. since when73. Today is my grandfather’s 100th birthday, an occasion _____ we are going to celebrate with all the family and a few friends in for the evening.A. whoB. whichC. whereD. when74. Today is my grandfather’s 100th birthday, an occasion _____ we are going to stay together with all the family and a few friends in for the evening.A. whoB. whichC. whereD. when75.Actually you can make learning English a process, _______ you can not only learn much knowledge but also interesting cultures.A. whichB. whereC. whenD. what76.---Frank, I have learned your plan. Could I make some suggestions? ---_________.A. Just for funB. With pleasureC. Go right aheadD. Take it easy.77.---Can I come and have a look at your new house? ---Yes, ________!A. by all meansB. I quite agreeC. I like itD. with pleasure78.________ with too much work, he spent little time playing with his little child, even during the holiday.A. Kept occupiedB. Kept occupyingC. Keeping being occupiedD. Keeping occupied79.I know it will be difficult to pick him out in the crowd, but if you _______ happen to see him, give him this packet.A. wouldB. mightC. shouldD. could80.---How do y find your new classmate?---Most of them are kind, but ______ is so good to me as Bruce.A. noneB. no oneC. every oneD. some oneII. 动词的适当形式填空：1. All the school needs _______ (add) to its beauty is a tennis court2. All the schools need _______ (add) to from time to time.3. The machine _______( work) for 4 hours continuously! We must stop it or it will break down.4. I would like to _____(visit) a friend of mine last night but I had an unexpected visitor.5. He works in a firm now, but he _______ (work) on a farm for ten years.6. There are waiting rooms in the new station, ______(seat) over 1000 passengers.7.I don’t want there ______( be) any students falling behind.8. Don’t worry. When you arrive, I ___________(wait) for you at the exit of the airport.9. The design they have spent so much time on ______( prove) to be a success in the near future.10.I would rather you _______(not tell) him the news that day.错题6答案：1-5 DCDDB 6-10 ABACA 11-15BBBDC 16-20 DAADB 21-25 ACBCB 26-30 ACBBA31-35 BACCB 36-40 DADAC 41-45 CACBB 46-50DDCAB 51-55 DAADB 56-60BCCDB61-65DDACB 66-70 ABADD 71-75 BDBDB 76-80 CAACA动词填空：1. to add2. adding3. has been working4. have visited5. worked6. seating7. to be8. will/shall be waiting9. will prove 10. hadn’t told。
2019-2020学年度江苏省苏锡常镇四市高三教学情况调查英语试题答案解析与点睛(28页)
2019-2020学年度江苏省苏锡常镇四市高三教学情况调查英语试题英语试题第一卷(选择题共85分)第一部分听力(共两节,满分20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分,满分5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the woman think of gardening?A.TiringB. Boring. C Enjoyable2. Why does the man call Johnson's office?A. To ask for sick leaveB. To have his car repaired.C. To put off the appointment.3. What does the woman mean?A. She won't sit next to John. B She doesn't like the movie. C She enjoys talking to John4. Where is the man probably now?A. At homeB. In the officeC. In a restaurant5. How much does the woman pay for her tickets?A. $8.8B.$10.C.$11.2第二节(共15小题;每小题1分,满分15分)听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,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。
江苏省南通市2020-2021学年上学期九年级英语10月月考试卷最新汇编：阅读理解(部分答案)
江苏省南通市2020-2021学年上学期九年级英语10月月考试卷最新汇编阅读理解2020-2021学年江苏省南通如皋实验中学初三第一学期英语第一次月考四、阅读理解AAlmost every major sports event has its own mascot(吉祥物). Do you still remember the five cute pandas named "fuwa” at the 2008 Summer Olympic Games? Now the two mascots for 2022 Beijing Winter Olympic and Paralympic Games(残奥会) were shown to the public.A panda named Bìng DwenDwen is the mascot for the 2022 Winter Olympics and a baby panda called ShueyRhonRhon is the mascot for the Paralympics.Bing DwenDwen is a giant panda in thick winter clothes and a white helmet. It is designed as a spaceman to explore the future. The name has several meanings in Chinese. “Bing”is the Chinese word for “ice". It stands for purity and strength. And 'DwenDwen, means lively. It stands for honesty, health and cuteness. Pandas are often considered as a symbol of China. Its white helmet shows up the characteristics of ice and snow sports and includes 5G technology.ShueyRhonRhon is a mascot in the shape of a red lantern. It stands for the Chinese New Year celebrations. In Chinese culture, red lanterns mean harvest, warmth and light. “Shuey" is the Chinese word for "snow" and “RhonRhon” has the Chinese meanings of both "Baorong” аnd"Rоnghе".The two mascots are a mixture of traditional Chinese culture and a modem style. From the names, we can see how Chinese people understand the Olympic spirit. They will be the wonderful ambassadors(形象大使) for China and the 2022 Winter Olympics.51. Which of the following are the mascots for the 2022 Winter Olympics and Paralympics?A BC D52. What do we know about the mascot ShueyRhonRhon for the Paralympics?A. It stands for the Chinese traditional culture.B. It includes lots of modern technologies.C. “RhonRhon” has only one Chinese meaning.D. It is considered as a symbol of China.53. What Olympic spirit do we Chinese want to express to the world through the two mascots?A. The whole world should know about our Chinese traditional culture well.B. We humans from all over the world should learn how to protect animals.C. people from different backgrounds can feel like part of one big family.D. All the athletes must know the importance of snow sports and 5G technology.【文章大意】几乎每一个重大体育赛事都有自己的吉祥物，本文主要介绍了2022年冬奥会的吉祥物:大熊猫Bing Dwen Dwen和残奥会的吉祥物:小熊猫RhonRhon。
2021-2022学年江苏省南京市共青团路中学高三英语上学期期末试卷含解析
2021-2022学年江苏省南京市共青团路中学高三英语上学期期末试卷含解析一、选择题1. Is this research centre _____ is full of modern equipment you always mention.A. whereB. thatC. the onethat D. the one where参考答案：C2. —You have just 15 minutes to get to the airport.—All right, I guess I can ________.A. do itB. make itC. finish itD. get it参考答案：C3. I was just going to cut my rose bushes but someone it. Was it you?A. has doneB. had doneC. would doD. will do参考答案：B30. Compared with the other players on the team, that footballer was short. But his speed _____________ his small size.A. compensated forB. headed forC. applied forD. pushed for参考答案：A略5. —By using the DNA from a dinosaur fossil ，we might someday create a living one.—_____. Dinosaurs disappeared millions of years ago ，you know.A. Never mindB. No ideaC. That sounds crazyD. It’s believable参考答案：C28. ______ our food running out, we had to walk to a village for help.A. AsB. SinceC. WithD. because参考答案：C7. China is experiencing a slow GDP growth., the government has in recent years taken a series of measures to deal with it.A.In responseB.In turnC.In returnD.In advance参考答案：A句意:中国GDP增长缓慢。
江苏省启东中学初中英语九年级全册Unit 6经典习题(答案解析)
一、选择题1．—Can you help me open the door？—________.A．Never mind B．My pleasure C．With pleasure D．It's a pleasure C解析：C【详解】句意：——你能帮我开门吗？——我很乐意。
Never mind“没关系”,用来安慰对方；My pleasure 与It's a plcasure意为“不客气”,用于回答对方表示感谢的话语；With pleasure“愿意效劳”,用来同意对方的请求。
由上句“你能帮我打开门吗？”可知此处选C项最合题意。
故选C。
2．Great changes________in our hometown in the past five years.A．have happened B．have taken placeC．have been happened D．have been taken place B解析：B【解析】【详解】句意：在过去的五年里，我们的家乡发生了巨大的变化。
考查动词辨析。
“ta ke place和happen”意思是“发生”，都没有被动语态，C和D是现在完成时的被动语态，故排除C和D。
take place指非偶然性事件的发生，或意料之中的事；happen一般用于偶然或突发性事件的发生。
家乡的巨大的变化不是偶然或突发事件，是意料中的事，可知使用take place，选B。
3．Jim's parents always encourage him ________out his opinions.A．speak B．speaking C．to speak D．will speak C解析：C【解析】【详解】句意：吉姆的父母总是鼓励他说出自己的意见。
考查动词不定式。
短语encourage sb.to do sth.意为“鼓励某人做某事”，结合句意可知填to speak，选C。
精品解析：浙江省杭州市英特外国语学校2020-2021学年七年级上学期期末英语试题-A4答案卷尾
杭州英特外国语学校2020第一学期初十年级（普通班）期末考试英语学科试题卷Listening Part 听力部分（20 分）I. Listen to the dialogues and choose the right answers. Each dialogue will be read ONCE.听短对话回答问题, 每个对话仅读一遍。
（共5小题, 每小题1分, 共5分）1. Who is Gina?A. She is Paul’s sister.B. She is Paul’s aunt.C. She is Paul’s cousin.2. When does the movie begin?A. 3 o’clockB. 5 o’clockC. 2 o’clock3. What does the woman’s new English teacher look like?A. She has small eyes.B. She is OK.C. She has curly hair.4. What does Johnny Depp do?A. He is a singer.B. He is a footballer.C. He is an actor.5. Where is the post office?A. It is near a hospital.B. It’s behind a school.C. It’s very far away from here.II. Listen to the dialogues and choose the right answers. Each dialogue will be read TWICE.听对话回答问题, 每个对话读两遍。
（共15小题, 每小题1分, 共15分）听对话, 回答下列小题。
6. When does Eric talk with Sally?A. In the morning.B. In the afternoon.C. In the evening.7. What will they have for the meal?A. Fruit salad and chicken.B. Vegetable salad and chicken.C. Fruit salad and hamburgers. III. 听对话, 回答下列小题。
精品解析：江西省南昌市新建一中2020-2021学年高二上学期第一次月考数学(理)试题(原卷版)
新建一中2020—2021学年度第一学期第一次月考高二数学（理）试卷温馨提示:此次考试卷面分为5分说明:1．书写整齐无大面积涂改且主观题基本完成的得5分2．书写有涂改或主观题未完成的，根据情况扣（1—5）分一､选择题（共12小题；每小题5分，共60分．）1.直线:20l x +=的倾斜角为（ ）A. 30°B. 60°C. 120°D. 150°2. 在ABC 中，内角A ､B ､C 的对边分别为a ､b ､c ，45601,B C c ===，，则b =（ ）C. 123. 在平面直角坐标系中，不等式组20200x y x y y +-≤⎧⎪-+>⎨⎪≥⎩表示的平面区域的面积是（ ）A.B. 4C. D. 2 4. 在ABC 中，内角A ､B ､C对边分别为a ､b ､c ，18,20,30a c B ===︒，则ABC 的面积为（ ） A. 180 B. 90 C. D. 5. 已知两条直线12:60,:(2)320l x my l m x y m ++=-++=，若1l 与2l 平行，则实数m =（ ） A. 1- B. 3C. 1-或3D. 3± 6. 已知直线l 的方程为()()23270x y λλ++--=，M 的方程()()22215x y -++=，则直线l 与M 的位置关系为（ ）A. 相切B. 相交C. 相离D. 不确定 7. 一束光线从点()5,3M 射出，经x 轴后反射后光线经过点()7,3N ，则反射光线所在的直线方程为（ ）A. 318y x =-B. 312y x =--C. 312y x =+D. 318y x =-+ 8. 圆()()22214x y -+-=与圆()()22129x y ++-=公切线有（ ）条．A. 1B. 2C. 3D. 4 9. 过点()2,5P 且与在两坐标轴上的截距互为相反数的直线方程为（ ）A. 520x y -=B. 30x y -+=C. 520x y -=或70x y +-=D. 520x y -=或30x y -+=10. 在ABC 中的内角A 、B 、C 所对的边a 、b 、c 根据下列条件解三角形，其中有两个解的是（ ）．A. 10b =，45A =︒，70C =︒B. 60a =，48c =，60B =︒ C . 7a =，5b =，80A =︒D. 14a =，16b =，45A =︒ 11. 已知C 的方程为()()22228x y -+-=，且过点()1,0P 的最长的弦为AB ，最短的弦为DE ，则四边形ABDE 的面积为（ ）A. 46B. 16C. 32D. 1212. 在ABC 中，内角A ､B ､C 的对边分别为a ､b ､c ，若cos cos a b A B =且()223sin 2cos sin 2A C B -=-，则这个三角形为（ ） A. 直角三角形B. 等腰三角形C. 等腰直角三角形D. 正三角形二､填空题（共4小题；每小题5分，共20分）13. 若两平行直线3x －2y －1＝0,6x ＋ay ＋c ＝0之间的距离为213，则2c a +的值为________． 14. 若关于x ，y 的方程22440x y x y m +-++=表示一个圆，则实数m 的取值范围为__________． 15. 已知实数x ，y 满足2220x x y -+=，则21y x +的取值范围为__________． 16. 若锐角ABC 内角A ､B ､C 的对边分别为a ､b ､c ，()()sin 2si 1n s n 2i A A B C C A B +-+=--+，面积S 满足12S ≤≤，则abc 的取值范围为__________．三､解答题（共6小题；共65分）17. 已知()1,2A ，直线l 经过直线250x y +-=与直线20x y -=的交点P ．（1）若直线l 与直线3250x y ++=平行，求直线l 的方程；（2）当点A 到直线l 的距离最大时，求直线l 的方程．18. 如图，在四边形ABCD 中，已知1,10,14,cos ,157AD CD AD AB BAD CBD ︒⊥==∠=∠=．求:（1）ADB ∠； （2）BC 的长．19. 已知直线1:310l x y --=及点()1,7A 和()0,4B ，Q 为1l 上一动点．（1）求AQ BQ +的最小值并求出此时点Q 的坐标； （2）在（1）的条件下，直线2l 经过点Q 且与x 轴､y 轴分别交于C ､D 两点，当直线2l 与两坐标轴围成的三角形面积取得最小值时，求直线2l 的方程．20. 已知圆22:(1)(2)25C x y -+-=，直线:(21)(1)740l m x m y m +++--=，()m R ∈． （1）证明：不论m 取什么实数，直线l 与圆恒交于两点；（2）求直线被圆C 截得的弦长最小时l 的方程．21. 如图，在平面直角坐标系xoy 中，已知点()0,3A ，直线:24l y x =-．设C 的半径为1，圆心在直线l 上．（1）若圆心C 也在直线1y x =-上，过点A 作C 的切线，求切线的方程； （2）若C 上存在点M ，使2=MA MO ，求圆心C 的横坐标的取值范围．22. 在ABC 中，角､､A B C 所过的边分别为a b c ､､，且()()2222c a b a b a b =-+-，3c =（1）求面积S的最大值；（2）若ABC为锐角三角形，求周长0C的取值范围．。
精品解析：江苏省南通市海门市包场高级中学2020-2021学年高三上学期10月检测数学试题(解析版)
江苏省包场高级中学2021届高三第二次阶段检测数学试卷一､单项选择题：本大题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的，请把答案填涂在答题卡相应位置上.1. 已知复数z 满足()12i z i +=，其中i 为虚数单位，则复数z 的模为（ ）A.B. 2C. 1D.【答案】D 【解析】 【分析】根据复数的乘除运算可得1z i =+，再利用复数模的运算即可求解.【详解】由()()()()21211111i i i z i i i i i i -===-=+++-， 所以z ==故选：D【点睛】本题考查了复数的乘除运算、复数模的求法，考查了基本运算求解能力，属于基础题. 2. 已知集合(){}ln 2A x y x ==-，{}2,xB y y x A ==∈，则AB =（ ）A. (),2-∞B. (),4-∞C. ()0,2D. ()0,4【答案】C 【解析】 【分析】化简集合,A B ，再进行交集运算； 【详解】(){}{}ln 22A x y x x x ==-=<，{}{}{}2,0404x B y y x A y y x x ==∈=<<=<<， ∴()0,2A B =，故选：C.【点睛】本题考查交集的运算，考查运算求解能力，属于基础题.3. 已知角α的终边经过点(1,3)，则222cos sin cos 2ααα-=（ ）.A. 178-B.78C. 78±D. 3【答案】B 【解析】【分析】本题首先可以根据角α的终边经过点(1,3)得出tan 3α=，然后将222cos sin cos 2ααα-化简为222tan 1tan αα--，最后代入tan 3α=即可得出结果.【详解】因为角α的终边经过点(1,3)， 所以tan 3α=，则2222222cos sin 2cos sin cos 2cos sin ααααααα--=- 22222tan 2371tan 138αα--===--， 故选：B.【点睛】本题考查根据角的终边求三角函数值以及二倍角公式，考查公式22cos 2cos sin =-ααα以及sin tan cos，考查计算能力，是简单题.4. 天文学中为了衡量天体的明暗程度，古希腊天文学家喜帕恰斯（Hipparchus ，又名依巴谷）在公元前二世纪首先提出了星等这个概念．星等的数值越小，天体就越亮；星等的数值越大，天体就越暗．到了1850年，由于光度计在天体光度测量中的应用，英国天文学家普森（M.R.Pogson ）又提出了衡量天体明暗程度的亮度的概念．天体的明暗程度可以用星等或亮度来描述，两颗星的星等与亮度满足12 2.5m m -=（21lg lg E E -），其中星等为i m 的星的亮度为i E （1i =，2）．已知“心宿二”的星等是1.00，“天津四”的星等是1.25，“心宿二”的亮度是“天津四”的r 倍，则r 的近似值为（当x 较小时，2101 2.3 2.7x x x ≈++）（ ） A. 1.23B. 1.26C. 1.51D. 1.57【答案】B 【解析】【分析】根据题意列出方程，结合对数式与指数式的互化以及对数运算性质即可求解. 【详解】设“心宿二”的星等为1m ，“天津四”的星等为2m ， “心宿二”和“天津四”的亮度分别为1E ，2E ，1 1.00m =，2 1.25m =，12E rE =，所以()211 1.25 2.5lg lg E E -=-， 所以121lg10E E =， 所以1110211101 2.3 2.7 1.25710100E r E ==≈+⨯+⨯=， 所以与r 最接近的是1.26， 故选：B.5.设函数11()sin()cos()()222f x x x πθθθ=++<的图像关于原点对称，则θ的值为（ ）A. 6π-B.6π C. 3π-D.3π 【答案】D 【解析】【分析】先由辅助角公式整理函数解析式，再由函数()f x 关于原点对称，即可求出结果. 【详解】因为()111sin 2sin 2223f x x x x πθθθ⎛⎫⎛⎫⎛⎫=+-+=+-⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭，又函数()f x 关于原点对称，所以()3k k Z πθπ-=∈，即()3k k Z πθπ=+∈，因为2πθ<，所以3πθ=.故选D【点睛】本题主要考查三角函数的性质，熟记性质即可得出结果，属于基础题型.6. 我国古代数学家刘徽于公元263年在《九章算术注》中提出“割圆术”：“割之弥细，所失弥少，割之又割，以至于不可割，则与圆合体，而无所失矣”.即通过圆内接正多边形细割圆，并使正多边形的面积无限接近圆的面积，进而来求得较为精确的圆周率.如果用圆的内接正n 边形逼近圆，算得圆周率的近似值记为n π，那么用圆的内接正边形逼近圆，算得圆周率的近似值2n π可以表示为（ ）A. π180cosnn︒ B. π360cosnn ︒ C. π180sinnn ︒ D. π90sinnn︒ 【答案】A 【解析】【分析】由三角函数的倍角公式及三角形的面积公式计算可得． 【详解】解：由题意有22360sin2n n R R nπ︒=， 所以2360sinnn nπ=︒， 又222360sin2n nR R nπ︒=， 所以22180sin 360180sin cos n n n n n nπππ︒==︒︒， 故选：A ．7. 已知函数()(x xf x e e e -=-为自然数对数的底数），若0.50.7a -=，0.5log 0.7b =，0.7log 5c =，则( )A. ()()()f b f a f c <<B. ()()()f c f b f a <<C. ()()()f c f a f b <<D. ()()()f a f b f c <<【答案】D 【解析】【分析】判断函数()f x 的单调性，比较a ，b ，c 大小关系，利用单调性求出． 【详解】解：0.70.50.5log 5log 5log 0.71c b =<<=<0.50.71a -=>，故a b c >>， 而()xx f x ee -=-显然为减函数，所以()()()f a f b f c <<，故选：D ．8. 设点P 为函数21()22f x x ax =+与2()3ln (0)g x a x b a =+>的图像的公共点，以P 为切点可作直线与两曲线都相切，则实数b 的最大值为（ ）A. 2323eB. 2332eC. 3223eD. 3232e【答案】B 【解析】【分析】先设()00,P x y ，由以P 为切点可作直线与两曲线都相切，可得两函数在点P 处切线斜率相同，再由导数的方法即可求解.【详解】设()00,P x y ，由于点P 为切点，则22000123ln 2x ax a x b +=+， 又点P 的切线相同，则()()00f x g x =''，即20032a x a x +=，即()()0030x a x a +-=，又0a >，00x >，∴0x a =，于是，2253ln (0)2b a a a a =->，设()2253ln (0)2h x x x x x =->， 则()()213ln (0)h x x x x =>'-，所以()h x 在130,e ⎛⎫⎪⎝⎭单调递增，在13,e ⎛⎫+∞ ⎪⎝⎭单调递减，b 的最大值为123332h e e ⎛⎫= ⎪⎝⎭，故选B. 【点睛】本题主要考查导数在函数中的应用，以及导数的几何意义，一般需要对函数求导，用导数的方法研究其单调性等，属于常考题型.二､多项选择题：本大题共4小题，每小题5分，共20分.在每小题给出的四个选项中，有多项符合题目要求，请把答案填涂在答题卡相应位置上.全部选对得5分，部分选对得3分，不选或有错选的得0分.9. 已知函数()()πsin 0,0,2f x A x A ωϕωϕ⎛⎫=+>><⎪⎝⎭的部分图象如图所示，下列说法正确的是（ ）A. 函数()y f x =的图象关于点π,06⎛⎫-⎪⎝⎭对称 B. 函数()y f x =的图象关于直线5π12x =-对称 C. 函数()y f x =在2ππ,36⎡⎤--⎢⎥⎣⎦单调递减 D. 该图象向右平移π6个单位可得2sin 2y x =的图象 【答案】ABD 【解析】 【分析】根据函数的图象，可求出()f x 的解析式，进而对选项逐个分析，可得出答案. 【详解】由函数的图象可得2A =，周期ππ4π312T ⎛⎫=-=⎪⎝⎭，所以2π2π2πT ω===，当π12x =时，函数取得最大值，即ππ2sin 221212f ϕ⎛⎫⎛⎫=⨯+= ⎪ ⎪⎝⎭⎝⎭，所以ππ22π122k ϕ⨯+=+()k ∈Z ，则π2π3k ϕ=+，又π2ϕ<，得π3ϕ=，故函数()π2sin 23f x x ⎛⎫=+ ⎪⎝⎭.对于A ，当π6x =-时，πππ2sin 22sin 00663f ⎛⎫⎛⎫-=-⨯+== ⎪ ⎪⎝⎭⎝⎭，即点π,06⎛⎫- ⎪⎝⎭是函数()f x 的一个对称中心，故A 正确；对于B ，当5π12x =-时，5π5πππ2sin 22sin 2121232f ⎛⎫⎛⎫⎛⎫-=-⨯+=-=- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭，即直线5π12x =-是函数()f x 的一条对称轴，故B 正确；对于C ，令ππ3π+2π2+2π232k x k ≤+≤()k ∈Z ，解得π7π+π+π1212k x k ≤≤，则函数()f x 的单调递减区间为π7π+π,+π1212k k ⎡⎤⎢⎥⎣⎦()k ∈Z ，故C 错误；对于D ，将()f x 的图象向右平移π6个单位后，得到ππ2sin 222sin 263y x x ⎛⎫=-⨯+=⎪⎝⎭的图象，即D 正确. 故选：ABD.【点睛】本题考查根据图象求三角函数解析式以及三角函数性质，考查推理能力与计算求解能力，属中档题.10. 若ABC 内接于以O 为圆心，1为半径的圆，且3450++=OA OB OC ，则下列结论不正确的是（ ） A. 2BOC π∠=B. 2AOB π∠=C. 45OB CA ⋅=- D. 15OC AB ⋅=-【答案】AC 【解析】 【分析】可由3450OA OB OC ++=得3(45)OA OB OC =-+，两边平方，再根据||||||1OA OB OC ===，可算出OB OC 的值，同理可算出,OA OB OA OC 的值，则问题可迎刃而解．【详解】解：由已知得：||||||1OA OB OC ===， 因为3450OA OB OC ++=，所以3(45)OA OB OC =-+， 两边平方得2229162540OA OB OC OB OC =++， 解得405OB OC =-≠，故A 错误；同理可得：·0OAOB =，35OA OC =-．故OA OB ⊥，故90AOB ∠=︒，故B 正确；4()5OB CA OB OA OC OB OA OB OC =-=-=，故C 错误； 1()5OC AB OC OB OA OC OB OC OA =-=-=-，故D 正确．故选：AC ．【点睛】本题考查数量积的运算和数量积在研究几何性质中的应用．属于中档题．11. 已知正实数x ，y 满足21211log log 22x yx y ⎛⎫⎛⎫+<- ⎪ ⎪⎝⎭⎝⎭，则下列结论正确的是（ ）A.11x y< B. 33x y <C. ()ln 10y x -+>D. 122x y-<【答案】BC 【解析】 【分析】把不等式变形为2211log log 22x y x y ⎛⎫⎛⎫-<- ⎪ ⎪⎝⎭⎝⎭，然后确定函数21()log 2xf x x ⎛⎫=- ⎪⎝⎭的单调性后可得0x y <<，然后再根据不等式性质，对数函数、指数函数的性质判断．【详解】原不等式可变形为2211log log 22xyx y ⎛⎫⎛⎫-<- ⎪ ⎪⎝⎭⎝⎭，设21()log 2xf x x ⎛⎫=- ⎪⎝⎭，则()()f x f y <， 又2log y x =是增函数，12xy ⎛⎫= ⎪⎝⎭是减函数，∴21()log 2xf x x ⎛⎫=- ⎪⎝⎭是增函数，∴x y <．即0x y <<．则11x y>，A 错；33x y <，B 正确；11y x -+>，ln(1)0y x -+>，C 正确； 0x y -<，0221x y-<=，不能得出122x y-<，例如1x =，32y =，则121222x y--==>，D 错． 故选：BC ．【点睛】本题考查函数的单调性，考查不等式的性质，对数函数、指数函数的性质，解题关键是由已知不等式变形后，引入单调函数()f x ，得出,x y 的大小关系．12. 关于函数()e cos xf x a x =-，()π,πx ∈-下列说法正确是（ ）A. 当1a =时，()f x 在0x =处的切线方程为y x =B. 若函数()f x 在()π,π-上恰有一个极值，则0a =C. 对任意0a >，()0f x ≥恒成立D. 当1a =时，()f x 在()π,π-上恰有2个零点 【答案】ABD 【解析】 【分析】直接逐一验证选项，利用导数的几何意义求切线方程，即可判断A 选项；利用分离参数法，构造新函数和利用导数研究函数的单调性和极值、最值，即可判断BC 选项；通过构造新函数，转化为两函数的交点个数来解决零点个数问题，即可判断D 选项.【详解】解：对于A ，当1a =时，()e cos xf x x =-，()π,πx ∈-，所以()00e cos00f =-=，故切点为（0，0），则()e sin xf x x '=+，所以()00e sin01f '=+=，故切线斜率为1，所以()f x 在0x =处的切线方程为：()010y x -=⨯-，即y x =，故A 正确； 对于B ，()e cos xf x a x =-，()π,πx ∈-，则()e sin xf x a x '=+，若函数()f x 在()π,π-上恰有一个极值，即()0f x '=在()π,π-上恰有一个解， 令()0f x '=，即e sin 0x a x +=在()π,π-上恰有一个解，则sin xxa e-=在()π,π-上恰有一个解， 即y a =与()sin xxg x e -=的图象在()π,π-上恰有一个交点，()sin cos xx xg x e-'=，()π,πx ∈-， 令()0g x '=，解得：134x π=-，24x π=， 当3,,44x ππππ⎛⎫⎛⎫∈--⎪ ⎪⎝⎭⎝⎭时，()0g x '>，当3,44x ππ⎛⎫∈-⎪⎝⎭时，()0g x '<， ()g x ∴在3,4ππ⎛⎫--⎪⎝⎭上单调递增，在443,ππ⎛⎫- ⎪⎝⎭上单调递减，在,4ππ⎛⎫ ⎪⎝⎭上单调递增，所以极大值为3423204g e ππ-⎛⎫-=> ⎪⎝⎭，极小值为42204g e ππ-⎛⎫=< ⎪⎝⎭， 而()()()0,0,00g g g ππ-===， 作出()sinxg x e -=，()π,πx ∈-的大致图象，如下：由图可知，当0a =时，y a =与()sinxg x e -=的图象在()π,π-上恰有一个交点， 即函数()f x 在()π,π-上恰有一个极值，则0a =，故B 正确； 对于C ，要使得()0f x ≥恒成立，即在()π,πx ∈-上，()e cos 0xf x a x =-≥恒成立，即在()π,πx ∈-上，cos x xa e ≥恒成立，即maxcos x x a e ⎛⎫≥ ⎪⎝⎭，设()cos x x h x e =，()π,πx ∈-，则()sin cos xx xh x e--'=，()π,πx ∈-， 令()0h x '=，解得：14x π=-，234x π=， 当3,,44x ππππ⎛⎫⎛⎫∈--⎪ ⎪⎝⎭⎝⎭时，()0h x '>，当3,44x ππ⎛⎫∈- ⎪⎝⎭时，()0h x '<，()h x ∴在,4ππ⎛⎫-- ⎪⎝⎭上单调递增，在3,44ππ⎛⎫-⎪⎝⎭上单调递减，在3,4ππ⎛⎫ ⎪⎝⎭上单调递增，所以极大值为42204h e ππ-⎛⎫-=> ⎪⎝⎭，()()11,h h e e ππππ--==，所以()cos x xh x e =在()π,πx ∈-上的最大值为42204h e ππ-⎛⎫-=> ⎪⎝⎭， 所以422a e π-≥时，在()π,πx ∈-上，()e cos 0xf x a x =-≥恒成立，即当422a e π-≥时，()0f x ≥才恒成立，所以对任意0a >，()0f x ≥不恒成立，故C 不正确；对于D ，当1a =时，()e cos xf x x =-，()π,πx ∈-，令()0f x =，则()e cos 0xf x x =-=，即e cos x x =，作出函数xy e =和cos y x =的图象，可知在()π,πx ∈-内，两个图象恰有两个交点，则()f x 在()π,π-上恰有2个零点，故D 正确.故选：ABD.【点睛】本题考查函数和导数的综合应用，考查利用导数的几何意义求切线方程，考查分离参数法的应用和构造新函数，以及利用导数研究函数的单调性、极值最值、零点等，考查化简运算能力和数形结合思想.三､填空题：本大题共4小题，每小题5分，共20分.请把答案填写在答题卡相应位置上.13. 已知向量a ，b 满足||a m =，||1b =，a 与b 的夹角为150︒，()a b b +⊥，则m =________．【解析】【分析】由()a b b +⊥，可得()0a b b +⋅=，进而可求出m .【详解】由题意，cos150a b a b ︒⋅=⋅=， 因为()a b b +⊥，所以()0a b b +⋅=，则2(310)a b a b b b m +⋅==⋅+-+=，解得3m =.故答案为：3. 【点睛】本题考查平面向量的数量积，注意()a b b +⊥()0a b b ⇔+⋅=，考查学生的计算求解能力，属于基础题.14. 已知函数()3xx1f x =x 2x+e -e-，其中e 是自然数对数的底数，若()()2f a-1+f 2a 0≤，则实数a 的取值范围是_________． 【答案】1[1,]2- 【解析】【详解】因为31()2e ()exx f x x x f x -=-++-=-，所以函数()f x 是奇函数，因为22()32e e 320x x f 'x x x -=-++≥-+≥，所以数()f x 在R 上单调递增， 又2(1)(2)0f a f a -+≤，即2(2)(1)f a f a ≤-，所以221a a ≤-，即2210a a +-≤， 解得112a -≤≤，故实数a 的取值范围为1[1,]2-．点睛:解函数不等式时，首先根据函数的性质把不等式转化为(())(())f g x f h x >的形式，然后根据函数()f x 的单调性去掉“f ”，转化为具体的不等式(组)，此时要注意()g x 与()h x 的取值应在函数()f x 的定义域内．15. 设函数()sin 3f x x πω⎛⎫=+ ⎪⎝⎭，其中0>ω.若函数()f x 在0,2π上恰有2个零点，则ω的取值范围是________． 【答案】54,63⎡⎫⎪⎢⎣⎭【解析】 【分析】当0f x时,()3k x k Z ππωω=-+∈,当0x >时,123x πω=,253x πω=,383x πω=,则523823ππωππω⎧≤⎪⎪⎨⎪>⎪⎩,进而求解即可【详解】由题,()sin 3f x x πω⎛⎫=+⎪⎝⎭取零点时,3x k πωπ+=()k Z ∈ ,即()3k x k Z ππωω=-+∈,则当0x >时,123x πω=,253x πω=,383x πω=,所以满足523823ππωππω⎧≤⎪⎪⎨⎪>⎪⎩,解得54,63ω⎡⎫∈⎪⎢⎣⎭ 故答案为：54,63⎡⎫⎪⎢⎣⎭【点睛】本题考查已知零点求参数问题,考查运算能力16. 在ABC 中，()sin sin sin A B C B -=-，则cos A =__________；点D 是BC 上靠近点B 的一个三等分点，记sin sin ABDλBAD∠=∠，则当λ取最大值时，tan ACD ∠=__________．【答案】 (1). 12(2). 2+【解析】 【分析】根据题意，由三角恒等变换将原式化简，即可求出1cos 2A =；设BD x =，BAD θ∠=，πθ0,3，则2DC x =，sin sin B t =θ，根据正弦定理，得到AD x =λ，sin sin23Cπλθ，求出cos cos 3B ⎛⎫=+ ⎪⎝⎭πλθ，得到222222sin cos sin cos 13B B ⎛⎫+=++= ⎪⎝⎭πλθλθ，表示出2221sin cos 3=⎛⎫++ ⎪⎝⎭λπθθ，求出最值，即可得出结果.【详解】因为()sin sin sin A B C B -=-，所以()sin sin sin B C A B =--， 即()()sin sin sin 2cos sin B A B A B A B =+--=， 又因为sin 0B ≠，所以1cos 2A =； 设BD x =，BAD θ∠=，πθ0,3， 则2DC x =，sin sin B =λθ， 由正弦定理可得AD x =λ，sin sin sin23AD DACCDCπθλ，又313sin sincos sin cos sin 222223C B B BB λθπ，由sin sin 2223B ⎛⎫+=- ⎪⎝⎭λλπθθ，得cos cos 3B ⎛⎫=+ ⎪⎝⎭πλθ． 因为222222sin cos sin cos 13B B ⎛⎫+=++=⎪⎝⎭πλθλθ， 所以222122sin cos 1cos 21cos 233==⎛⎫⎛⎫++-+++ ⎪⎪⎝⎭⎝⎭λππθθθθ2226=⎛⎫-- ⎪⎝⎭πθ， 因为πθ0,3，所以2,662πππθ⎛⎫-∈- ⎪⎝⎭，所以当206πθ-=时，λ1，此时)sin 1B ==， 所以4B π=，tan tan 234ACD ⎛⎫∠=--= ⎪⎝⎭πππ 答案为：12；2+【点睛】本题主要考查由三角恒等变换求函数值，考查三角函数的性质，考查正弦定理的应用，属于常考题型.四､解答题：本大题共6小题，共70分.请在答题卡指定区域内作答，解答时应写出必要的文字说明，证明过程或演算步骤.17. 已知0,2πα⎛⎫∈ ⎪⎝⎭，0,2πβ⎛⎫∈ ⎪⎝⎭，且()()8cos cos 13αβαβ--+=，126tan 25tan 2ββ+=.（1）求cos2α的值； （2）求()tan αβ-的值. 【答案】（1）725-；（2）3356. 【解析】 【分析】（1）由126tan25tan2ββ+=切化弦，利用同角公式和二倍角的正弦公式化简可得sin β，由()()8cos cos 13αβαβ--+=利用两角和与差的余弦公式变形可得sin α再根据二倍角的余弦公式可求得结果；（2）利用同角公式求出tan α、tan β，再根据两角差的正切公式可求得结果.【详解】（1）∵126tan 25tan 2ββ+=，∴sin cos26225cos sin 22ββββ+=， ∴22sin cos 26225sin cos 22ββββ+=，∴12615sin 2β=，∴5sin 13β=，∵()()8cos cos 13αβαβ--+=， ∴8cos cos sin sin cos cos sin sin 13αβαβαβαβ+-+=， ∴4sin sin 13αβ=， ∴4sin 5α=， ∴2327cos 212sin 12525αα=-=-=-. （2）由（1）得4sin 5α，5sin 13β=，又∵,0,2παβ⎛⎫∈ ⎪⎝⎭，∴3cos 5α===，12cos 13β===， ∴sin 4tan cos 3ααα==，sin 5tan cos 12βββ==， ∴()45tan tan 33312tan 451tan tan 561312αβαβαβ---===++⨯. 18. 已知a ，b ，c 分别为ABC 内角A ，B ，C 的对边，若ABC 同时满足下列四个条件中的三个：①cos B =；②2cos 22cos12A A +=；③a =④b =． （1）满足有解三角形的序号组合有哪些？（2）在（1）所有组合中任选一组，并求对应ABC 的面积． 【答案】（1）①③④或②③④；（2）答案见解析 【解析】 【分析】 （1）由①可得2ππ3B <<，由②2cos 22cos 12A A +=，结合二倍角公式，可求得1cos 2A =，即π3A =，易知①②不能同时成立，进而可得满足题意的组合为①③④或②③④；（2）若选择①③④，先求出sin B ，进而由余弦定理2222cos b a c ac B =+-，建立关系式，可求出c ，再利用1sin 2ABC S ac B =△，可求出答案； 若选②③④，由余弦定理2222cos a b c bc A =+-，建立关系式，可求出c ，进而由1sin 2ABCS bc A =，可求出答案．【详解】（1）由①cos B =，可得2ππ3B <<； 由②2cos 22cos12AA +=，可得22cos cos 10A A +-=， 解得cos 1A =-（舍）或1cos 2A =，由()0,πA ∈，可得π3A =.所以①②不能同时成立，故满足有解三角形的序号组合有①③④或②③④．（2）若选择①③④，则sin B ===，由余弦定理2222cos b a c ac B =+-，即286c =++，整理得2420c c +-=，解得2c =或2c =（舍去），所以)11sin 222ABC S ac B ===△若选择②③④，由②得π3A =，由余弦定理2222cos a b c bc A =+-，即268c =+-，解得c =所以11sin 22ABC S bc A ==⨯=△ 【点睛】本题考查解三角形，考查三角函数的性质，考查学生的推理能力与计算能力，属于中档题. 19. 在平面直角坐标系xOy 中，已知向量()()1,0,0,2a b ==,设向量()11cos ,x a b y ka b sin θθ=+-=-+，其中0πθ<<. （1）若4k =，π6θ=，求x y ⋅的值； （2）若//x y ，求实数k 的最大值，并求取最大值时θ的值.【答案】（1）4-（2）； 【解析】 【分析】【详解】试题分析：（1）向量数量积问题可以先求向量的坐标，再利用坐标运算；或者先符号运算进行化简，再代入坐标；（2）由向量共线得到k 与θ的关系式，用θ表示出k ，再利用导数求该函数的最大值，为了便于运算，可以求1k的最小值； 试题解析：（1）（方法1）当4k =，π6θ=时，()123x =-，，y =(44-，)， 则x y ⋅=()1(4)234443⨯-+-⨯=-． ．（2）依题意，()122cos x θ=-，，，因为//x y 所以2(22cos )sin k θθ=--， 整理得，()1sin cos 1kθθ=-，令()()sin cos 1f θθθ=-， 则()()cos cos 1sin (sin )f θθθθθ=-+-'22cos cos 1θθ=--()()2cos 1cos 1θθ=+-. 令()0f θ'=，得1cos 2θ=-或cos 1θ=，又0πθ<<，故2π3θ=. 列表：θ2π0?3⎛⎫ ⎪⎝⎭，2π32π π3⎛⎫⎪⎝⎭，()f θ'-+()f θ↘极小值334-↗故当2π3θ=时，min ()f θ=334-，此时实数k 取最大值39-. 考点：1.向量数量积的坐标公式；2.向量共线的坐标公式；3利用导数求函数的最值； 20.如图（1），有一块形状为等腰直角三角形的薄板，腰AC 的长为a 米（a 为常数），现在斜边AB 上选一点D ，将△ACD 沿CD 折起，翻扣在地面上，做成一个遮阳棚，如图（2）. 设△BCD 的面积为S ，点A 到直线CD 的距离为d. 实践证明，遮阳效果y 与S 、d 的乘积Sd 成正比，比例系数为k （k 为常数，且k>0）.（1）设∠ACD=，试将S 表示为的函数；（2）当点D 在何处时，遮阳效果最佳（即y 取得最大值）？【答案】（1）S ，090θ︒<<︒；（2）D 在AB 的中点时，遮阳效果最佳.【解析】 【分析】【详解】试题分析：（1）关键是求出CD 的长，在BCD ∆中，BC a =，45,45B CDB θ∠=︒∠=+︒，由正弦定理可得CD ，由此可得S 与θ的关系式S，；（2）sin d a θ=，因此有，这个最值的求法用换元法，设sin cos t θθ+=，(1,2]t ∈，21sin cos 2t θθ-=，y就变为t 的函数，再由函数的单调性可得最值.试题解析：（1）△BCD 中，∴，∴∴，（2）10分令，则，∴在区间上单调递增，∴当时y 取得最大值，此时，即D 在AB 的中点时，遮阳效果最佳.考点：应用题，正弦定理，换元法，同角间的三角函数关系，函数的最值.21. 设函数()cos xf x e x =，()g x 为()f x 的导函数.（1）求()f x 的单调区间； （2）当,42x ππ⎡⎤∈⎢⎥⎣⎦时，证明()()02f x g x x π⎛⎫+-≥ ⎪⎝⎭. 【答案】（1）()f x 的单调递增区间为,23244k k ππππ⎡⎤-+⎢⎥⎣⎦，()f x 的单调递减区间为52,2()44k k k Z ππππ⎡⎤++∈⎢⎥⎣⎦；（2）证明见解析. 【解析】【分析】（1）求出原函数的导函数，可得当(24x k ππ∈+，52)()4k k Z ππ+∈时，()0f x '<，()f x 单调递减；当3(24x k ππ∈-，2)()4k k Z ππ+∈时，()0f x '>，()f x 单调递增； （2）记()()()()2h x f x g x x π=+-，依题意及（Ⅰ），得到()e (cos sin )xg x x x =-，由()0h x '<，得()h x 在区间[4π，]2π上单调递减，有()()()022h x h f ππ==，从而得到当[4x π∈，]2π时，()()()02f x g x x π+-；【详解】（1）由题意得()(cos sin )xe x xf x =-'，因此当52,2()44x k k k Z ππππ⎛⎫∈++∈ ⎪⎝⎭时， 有sin cos x x >，得()0f x '<，则()f x 单调递减； 当32,2()44x k k k Z ππππ⎛⎫∈-+∈ ⎪⎝⎭时，有sin cos x x <，得()0f x '>，则()f x 单调递增.所以()f x 的单调递增区间为,23244k k ππππ⎡⎤-+⎢⎥⎣⎦()k ∈Z ，()f x 的单调递减区间为52,2()44k k k Z ππππ⎡⎤++∈⎢⎥⎣⎦. （2）记()()()2h x f x g x x π⎛⎫=+- ⎪⎝⎭，由题意及（1）可知有()e (cos sin )x g x x x =-， 从而()2e sin x g x x '=-，当,42x ππ⎛⎫∈ ⎪⎝⎭时，()0g x '<， 故()()()()()(1)022h x f x g x x g x g x x ππ⎛⎫⎛⎫''''=+-+⨯-=-< ⎪ ⎪⎝⎭⎝⎭， 因此()h x 在区间,42ππ⎡⎤⎢⎥⎣⎦上单调递减，进而()022h x h f ππ⎛⎫⎛⎫== ⎪ ⎪⎝⎭⎝⎭. 所以当,42x ππ⎡⎤∈⎢⎥⎣⎦时，()()02f x g x x π⎛⎫+- ⎪⎝⎭. 【点睛】本题主要考查导数的运算，不等式的证明、运用导数研究函数的性质等基础知识和方法，考查函数思想和化归与转化思想，考查抽象概括能力、综合分析问题与解决问题的能力，属难题．22. 已知函数()()ln =-+x f x xe a x x ，0x >，若()f x 在0x x =处取得极小值．（1）求实数a 的取值范围；（2）若()00f x >，求证：()03002f x x x >-． 【答案】（1）()0,∞+；（2）证明见解析.【解析】【分析】（1）求得()()()1x x xe a f x x+-'=，对实数a 的取值进行分类讨论，利用导数分析函数()y f x =在区间()0,∞+上的单调性，结合已知条件可得出实数a 的取值范围；（2）由极值点的定义可得出00x x e a =，由()00f x >可得出001x <<，构造函数()ln 1p x x x =-+可得出00ln 1x x <+，构造函数()1x q x e x =--可得出001x e x >+，进而可得出()()200021f x x x >-，即可证得结论成立.【详解】（1）依题意，()()ln =-+xf x xe a x x ，0x >， ()()()1111x x x f x x e a xe a x x +⎛⎫'=+-+=⋅- ⎪⎝⎭． ①当0a ≤时，则()0f x '>，函数()y f x =在()0,∞+上单调递增，函数()y f x =无极小值， 所以0a ≤不符题意；②若0a >，令()x g x xe a =-，0x >，()()10xg x x e '=+>， 故函数()y g x =在()0,∞+上单调递增，又()00g a =-<，()()10a g a a e =->， 据零点存在性定理可知，存在()00,x a ∈，使得()00g x =，()00f x '=，且当00x x <<时，()0g x <，()0f x '<，函数()y f x =在()00,x 上单调递减；当0x x >时，()0g x >，()0f x '>，函数()y f x =在()0,x +∞上单调递增.所以()f x 在0x x =处取得极小值，所以0a >符合题意．综上所述，实数a 的取值范围是()0,∞+；（2）由（1）可知，当0a >时，存在()00,x a ∈，使得()00g x =，即00x x e a =．又()00f x >，即()0000ln 0x x e a x x -+>，所以()00001ln 0xx e x x -->． 因为00x >，00x e >，所以001ln 0x x -->，即00ln 10x x +-<．令()ln 1h x x x =+-，0x >，()110h x x'=+>， 故函数()y h x =在()0,∞+上单调递增，又()10h =，据()00h x <，可得001x <<．令()ln 1p x x x =-+，01x <<，()110p x x'=->， 故函数()y p x =在()0,1上单调递增，所以()()10p x p <=，故ln 1x x <-，其中01x <<．令()1x q x e x =--，01x <<，()10xq x e '=->． 故函数()y q x =在()0,1上单调递增，所以()()00q x q >=，故1x e x >+，其中01x <<．所以()()()()()0200000000001ln 11121x f x x e x x x x x x x x =-->+---=-⎡⎤⎣⎦， 结合001x <<，可得()03002f x x x >-． 【点睛】本题考查利用函数存在极值点求参数的取值范围，同时也考查了利用导数证明函数不等式，考查推理能力与计算能力，属于中等题.。
精品解析：河北省石家庄晋州市2020-2021学年八年级上学期期中语文试题(原卷版)
我偷眼瞅爸爸，他铁青着脸，频频搓着发红发肿发痛的手指，没有看我。
十指连心，爸爸那种痛入心扉又深入骨髓的感觉，我当然知道。但是，当时的我，毕竟只是一名九岁的孩童，我所关心、担心的，是爸爸会不会再度扬起手来打我。
爸爸不会。
当天晚上，爸爸五根手指肿得老大老大的，妈妈在厨房里为他涂抹药油。
9. 解释下列加点词在句中的意思。
①风烟俱净
②互相轩邈
③负势竞上
④望峰息心甚箭，猛浪若奔
②蝉则千转不穷，猿则百叫无绝
11. 文中“横柯上蔽，在昼犹昏”这一奇景，突出了环境的什么特点？与前文哪句话相照应？
12. “鸢飞戾天者”与“经纶世务者”分别指什么人？作者借此表达了怎样的情感？
D. 《记承天寺夜游》作者苏轼，宋代文学家。文章以清新的笔触描绘了秀美的庭院景色，表达了作者沉醉山水的愉悦之情和古今知音共赏美景的悠闲之感。
6.阅读下列材料，完成问题。
【材料一】在青海可可西里索南达杰自然保护站，不远处的一座瞭望塔下，有一片天然的石头滩。上百块大大小小、形态各异的石头上面，写满了志愿者和游客的留言，如“永远做藏羚羊的保护神。”“可可西里：神秘的地方，可爱的家乡”。历经风雨冲刷的“碑文”，无声地诉说着一个共同心愿：守护好人类“最后一片净土”。
爸爸的眉、眼、鼻、唇，全都痛得挤成了一团；连梳得平平顺顺的头发，也痛得一根一根地竖立起来；手指呢，则怪异地扭来扭去，像盘根错节的树根。
16. 你认为爸爸是一个什么样的人？
课外阅读。
难忘，童年的香炒热白果
①急雨收残暑，西风吹暮蝉。
②去年秋天，研讨会选址苏州东山，会后，苏州好友邀游东山。此行源于童年温馨的回忆——寻访曾经叫卖香炒热白果的小贩。在村民的帮助下，终于找到了曾在上海叫卖的小贩。