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七宝中学自招考试英语题库1演示教学

七宝中学⾃招考试英语题库1演⽰教学2017七宝中学⾃招考试英语题库12017七宝中学⾃招考试英语题库1Choice:1. From what I heard about their hotel and the terrible weather, they_______their holiday at all.A. would have enjoyedB. shouldn't have enjoyedC. needn't have enjoyedD. can't have enjoyed2. I tried to call at your home last week but your dog simply ______not let me come through the gate.A. couldB. wouldC. mightD. should3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I ________so.A. can doB. must have doneC. need have doneD. should have done4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night.A. mustn't have seenB. can't have seenC. shouldn't have seenD. wouldn't have seen5. The boss_______the worker how to do it, or the accident couldn't have happened.A. can't have toldB. ought to tellC. couldn't have been toldD. mustn't have toldA. shallB. wouldC. should D could7. —There were already five people in the car but they managed to take me as well.—It ____________a comfortable journey.A. can't beB. shouldn't beC. must have beenD. couldn't have been8. ________this letter_________now?A. Need ... typedB. Does ... need to be typedC. Need ... to be typedD. Does ... need be typed9. Even if you don't like the work, you_________ it.A . must do B. must have done C. have to do D. should have done10. I know Miss Hamilton's handwriting. She always writes beautifully. This handwriting is so bad. So I believe this _________be hers.A. can notB. must notC. canD. should11. I promise you that I __________you a present next week.A. shall be givingB. will giveC. shall have givenD. shall give12. One ought _________for what one hasn't done.A. not to be punishedB. to not be punishedC. to not punishedD. not be punished13. One ought_________for what one hasn't done.A. not to be punishedC. to not punishedD. not be punished14. _________it be true that Albert passed the test in geography?A. MayB. ShouldC. CouldD. Would15. —Must we keep the room warm?—No, you _______.We'll leave soon.A. can'tB. shouldn'tC. needn'tD. mustn't16. He looks worried; I think he _________in the exam.A. ought to have failedB. should have failedC. must have failedD. must fail17. Mr. Lopes _____be in the classroom because I saw him only a minute ago here.A. mustn'tB. isn't able toC. can'tD. may not18. Listen ! Ms. Hood is speaking to the students. She _______them an English lesson.A. must giveB. must have givenC. must be givingD. ought to be given19. This fish is dead, I__________it into water five minutes ago.A. ought to putB. must putC. had to put D, should have put20. What a gift you've brought me! You are so kind, but you _________so.A. shouldn't doD. needn't have done21. Lucy left home earlier than usual. She _______for class that day.A. can't have been lateB. cannot be lateC. shouldn't he lateD. may not be late22. Where is my key to the bike? I can't find it anywhere. I __________it.A. might loseB. would have lostC. should have lostD. must have lost23. --He must have gone by bus. --No, he_________by bus.A. mustn't goB. mustn't have goneC. can't goD. can't have gone24. You ________walk for miles and miles among the hills without meeting anyone.A. mustB. needC. mayD. should25. You________me, because I never said I liked coffee without milk.A. must be misunderstandingB. must misunderstandC. had to misunderstandD. must have misunderstood26 .The light of his room is still on, so he_______ out.A. mustn't goB. mustn't have goneC. can't have goneD. can't go27. The flowers are dead. You _________them.A. ought to waterD. have to water28. The movie was wonderful. You ___________to see it some day.A. haveB. hadC. oughtD. should29. Today is your holiday. You ___________here to work.A. shouldn't have comeB. needn't have comeC. mustn't have comeD. cannot have come30. Since the road was wet this morning, it _________last night.A. must rainB. must be rainedC. must have rainedD. had to rain31. You look very tired. You must__________to bed very late last night.A. be goneB. be goingC. have goneD. have been gone32. You _________such a long report, the new boss never likes reading a report over 200 words,but you've written more than 500.A. needn't writeB. needn't have writtenC. didn't need to writeD. didn't need write33. I didn't see her in the meeting room this morning, so I think she_______at the meeting.A. mustn't have spokenB. shouldn't have spokenC. needn't have spoken34. She knows the city quite well. She_________there before.A. has goneB. had beenC. might goD. must have been35. He ought ____________so soon.A. to have not leftB. to not have leftC. not to have leftD. not have left36. You __________me up. I don't have to go to work today.A. didn't need to wakeB. needn't have wokenC needn’t to workD can’t have woken37. He ________so hurriedly that day, actually there was still more than half an hour left.A. needn't leaveB. couldn't leaveC. oughtn't to leave D needn’t have left38. Be quick! They _______ for us at the school gate now.A. must have waitedB. must waitC. must be waitingD. ought to have waited39. –I rang your fiat yesterday. A man answered. But I didn't recognize the voice.--0h, it my brother Peter.A. must beB. mustC. can have beenD. might be40. The classroom is empty. I think they_______to the library.A. should have goneB. must goD. ought to41. The classroom is empty. I think they_______to the library.A. should have goneB. must goC. must have goneD. ought to42. When I saw her crying, I realized I _________her the news so soon.A. should have toldB. must have toldC. should not tellD. shouldn't have told43. Go and have _______before we set out.A. sleepB. a sleepC. the sleepD. sleeps44. Joe _______here by now, that's too bad. We can't have the meeting without him.A. ought to beB. should comeC. should have comeD. may have come45. Mary didn't answer the door bell. She _________asleep.A. ought to fallB. can have fallenC. might have fallenD. should have fallen46. He _______without saying good-bye to them because he always has good manners.A. mustn't have leftB. may not have leftC. shouldn't have leftD. can't have left47. Jim is very sorry that he has failed in the exam. He said he_______harder.A. must nave studiedC. ought to studyD. should have studied48. Teresa's car stopped on the highway. It_______out of gas,A. may have runB. may runC. should runD. should have run49. It's still early. You___________.A, mustn't hurry B. wouldn't hurryC. may not hurryD. don't have to hurry50. You look well today. You _______a good sleep last night, I think.A. must haveB. hadC. must have hadD. will have51. The door is open. They _________to lock it.A. may forgetB. must forgetC. might forgetD. must have forgotten52. ___________you wait for me here?A. ShallB. ShouldC. WillD. May53. Miss Li isn't at home. She _______to the office.A. may have beenB. should have goneC, would have gone D. must have gone54. --1 think you were mistaken.--Yes, I ________mistaken.A. must beB. could beD. might have been55. –He _____be hungry. He's just eaten an apple.--l think he_______be hungry. He's walked a long way.A. can't ... mustB. mustn't mustC. shouldn't ... canD. can't ... can56. It seems that nothing _________to save him at the moment.A. can doB. can be doneC. is to doD. is going to do57. She ought_________ for that.A. not to be praisedB. to not be praised C to not praised D not to praised58. I don't think he________ a new watch.A. need to buyB. needs buyC. needD. need buy59. --May I take this dictionary out of the library?—NO, you_______________>A. needn'tB. mustn'tC. can'tD. shouldn't60. She ________to Vancouver before. She is very familiar with the city.A. ought to have beenB. should have beenC. can not have beenD. must have61. The girl is sixteen. Mother__________wash the clothes for her any longer.A. needs not toB. need notD. needs not62. .Look at that man . It must be our Principal.-- No , it _______ him.A. must not beB. can't beC. needn't beD. would not be63. -Need I be there tonight? —Yes, you_______A. mustB. needC. canD. could64. The man standing over there __________be Mr. Morrison. He has gone to India.A. may notB. can'tC. mustn'tD. shouldn't65. The living room simply doesn't need_________A. to cleanB. to cleaningC. to be cleanedD. to be cleaning66. ___________the story be true? I hardly believe it.A. MayB. WouldC. MustD. Can67. —Must I finish all the exercises today?—No, you _________But you__________finish them before Friday. A. mustn't ... need B. don't have to… mustC. needn't ...need D shouldn’t…ought68. Did you hear me come in last night?B. must have beenC.may beD. would be69. That would be a terrible mistake.No, I don’t think it __________ a mistake.A. must beB. mustn’t beC. can beD. can’t be70. There is no light in the room. I think he__________in.A. mustn't beB. can't beC. mustn't have beenD. should not be71. The house is quiet . The Browns ________to bed.A. must goB. must have goneC. should have beenD. should not be72. You __________have handed in your homework earlier.A. wouldB. had betterC. ought toD. must73. --t's a beautiful day for skating, isn't it?-- Yes, it's very nice. The radio said______, though.A. it might snow laterB. it would be fine laterC. it might become to rain laterD. it would shine later74. Tony was not surprised at all at the matter. He must ______ the story.A. have knowB. knowC. be knownD. be knowing。

2020年上海市七宝中学自主招生数学试卷含答案

一、解答题（共4小题，满分0分）1．菱形OABC中，OB、AC相交于M（x0，y0），y＝过点M、C，2≤x0≤4，求菱形OABC的面积最大值．2．二次函数y＝ax2+bx+c，其图象都在x轴及其上方，设t＝，则t的最值为多少？3．对于各数互不相同的数列a1，a2，a3，…，a k．若1≤m＜n≤k，a n＜a m，则（a n，a m）称为一个逆序．数列中逆序的总数称为该数列的逆序数，如3，2，1中2＜3，则称（3，2）为一个逆序，同理（3，1），（2，1）也为逆序，逆序数为2+1＝3，现有一各数互不相同的数列a1，a2，a3，…，a100，逆序数为k，则该数列颠倒后得到的a100，a99，…，a1，逆序数为多少？4．已知实数t，使得[t]＝1，[t2]＝2，[t3]＝3，…，[t n]＝n都成立，求正整数n的最大值．参考答案与试题解析一、解答题（共4小题，满分0分）1．菱形OABC中，OB、AC相交于M（x0，y0），y＝过点M、C，2≤x0≤4，求菱形OABC的面积最大值．【解答】解：∵菱形OABC中，OB、AC相交于M（x0，y0），∴直线的OM斜率为，由菱形对角线互相垂直可得：AC的斜率为﹣，∴AC：y＝﹣（x﹣x0）+y0，令y＝0，则x＝+x0＝，∴A（，0），∴C（，2y0），∵M、C在同一反比例函数上∴•2y0＝x0•y0，∴x02＝2y02，∴y0＝x0，∴S＝•2y0＝•x0＝x02，∴S最大值＝×42＝24．2．二次函数y＝ax2+bx+c，其图象都在x轴及其上方，设t＝，则t的最值为多少？【解答】解：由题意得：a＞0且Δ＝b2﹣4ac≤0，即（）2≤，故t＝＝1++≥1++3（）2＝3（）2+≥，当且仅当＝﹣时等号成立，而（）2，无最大值，故t无最大值，故t最小值为，无最大值．3．对于各数互不相同的数列a1，a2，a3，…，a k．若1≤m＜n≤k，a n＜a m，则（a n，a m）称为一个逆序．数列中逆序的总数称为该数列的逆序数，如3，2，1中2＜3，则称（3，2）为一个逆序，同理（3，1），（2，1）也为逆序，逆序数为2+1＝3，现有一各数互不相同的数列a1，a2，a3，…，a100，逆序数为k，则该数列颠倒后得到的a100，a99，…，a1，逆序数为多少？【解答】解：根据题意可知：各数互不相同的（a m，a n）和（a n，a m）中恰有一个逆序，所以在数列a1，a2，a3，…，a100与a100，a99，…，a1，中，共有：1+2+3+…+99＝＝4950个逆序，因为数列a1，a2，a3，…，a100，逆序数为k，所以a100，a99，…，a1逆序数为4950﹣k．4．已知实数t，使得[t]＝1，[t2]＝2，[t3]＝3，…，[t n]＝n都成立，求正整数n的最大值．【解答】解：∵[t]＝1，∴则1≤t＜2，∵[t2]＝2，∴2≤t2＜3，∵[t3]＝3，∴3≤t3＜4 ①，[t4]＝4，∴4≤t4＜5，此时2≤t2＜②，∵[t5]＝5，∴5≤t5＜6，由①和②，可知6≤t5＜，与5≤t5＜6矛盾，∴[t5]＝5不成立，因此n的最大值为4．。

【考试必备】2018-2019年最新上海市七宝中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】

2018-2019年最新上海市七宝中学自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分）1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a；theB. an； /C. the； aD. /；/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6：00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________， we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are,mistakes you’llmake.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24.— Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节：完形填空（共20小题，每小题1分，满分20分）(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an etextbook will __28__ you.It is said that etextbooks are going to be __29__ in Chinese middle schools.An etextbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__， take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending emails. All they have to do is to press a button.Some people say etextbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节：阅读理解（共25小题，每小题2分，满分50分）AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion，a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only several months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节：补全对话，从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷（非选择题,共50分）一、根据句意及所给提示，补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be（允许）to bring mobile phones to school.82.I find it useless to spend much time（解释）it to him.83. She prefers keeping silent to（争吵）with others.84. It is important for us to be（有信心的）of doing everything.85. The doctor operated on the patient（成功）yesterday.二、汉译英, 一空一词（共5小题，每小题2分，计10分）86. 他默默地在雨中行走，浑身上下都被淋湿。

【高中自主招生】上海七宝中学自招数学试题

今天分享几道能够比肩上海四大名校的七宝中学的自招数学试题。

题目一：计算 \frac{\sqrt{6}+4 \sqrt{3}+3\sqrt{2}}{(\sqrt{6}+\sqrt{3})(\sqrt{3}+\sqrt{2})}【详解】 \frac{\sqrt{6}+4 \sqrt{3}+3\sqrt{2}}{(\sqrt{6}+\sqrt{3})(\sqrt{3}+\sqrt{2})}=\frac{\sqrt{6}+\sqrt{3}+3\sqrt{3}+3\sqrt{2}}{(\sqrt{6}+\sqrt{3})(\sqrt{3}+\sqrt{2})} =\frac{\sqrt{6}+\sqrt{3}+3(\sqrt{3}+\sqrt{2})}{(\sqrt{6}+\sqrt{3})(\sqrt{3}+\sqrt{2})} =\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{3}{\sqrt{6}+\sqrt{3}} =\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{\sqrt{3}}{\sqrt{2}+1} =\frac{\sqrt{3}-\sqrt{2}}{(\sqrt{3}+\sqrt{2})(\sqrt{3}-\sqrt{2})}+\frac{\sqrt{3}\cdot(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)} =\sqrt{3}-\sqrt{2}+\sqrt{6}-\sqrt{3} =\boxed{\sqrt{6}-\sqrt{2}}.\square一般我们看到分式化简第一时间想到的就是分母有理话，比如针对这道题应该分子、分母同时乘以 (\sqrt{6}-\sqrt{3})(\sqrt{3}-\sqrt{2})。

这样做也是可以的，毕竟分母变成整数，肯定是能够做出来的。

不过，这样做分子的计算量比较大，且很容易就会算错了。

七宝中学自主招生试题

选择题
下列哪个数学概念是描述两个集合之间关系的？
A. 函数
B. 映射
C. 子集
D. 交集（正确答案）
在物理学中，下列哪个现象是由光的折射引起的？
A. 镜面反射
B. 漫反射
C. 日食
D. 彩虹（正确答案）
下列哪个文学流派强调对现实生活的忠实反映和批判？
A. 浪漫主义
B. 现实主义（正确答案）
C. 现代主义
D. 自然主义
下列哪个历史事件标志着中国进入社会主义现代化建设新时期？
A. 抗日战争胜利
B. 新中国成立
C. 改革开放（正确答案）
D. 香港回归
在化学中，下列哪个元素属于碱金属？
A. 钙
B. 钠（正确答案）
C. 铝
D. 铁
下列哪个作品是莎士比亚的著名悲剧？
A. 《罗密欧与朱丽叶》
B. 《哈姆雷特》（正确答案）
C. 《威尼斯商人》
D. 《仲夏夜之梦》
在计算机科学中，下列哪个是描述算法复杂度的一个常用符号？
A. O（正确答案）
B. π
C. e
D. i
下列哪个地理现象是由地球自转引起的？
A. 昼夜交替（正确答案）
B. 四季变化
C. 极昼极夜
D. 地球形状
在生物学中，下列哪个过程描述了遗传信息的传递方向？
A. DNA → RNA → 蛋白质（正确答案）
B. 蛋白质→ RNA → DNA
C. RNA → DNA → 蛋白质
D. DNA → 蛋白质→ RNA。

上海市七宝中学2024-2025学年高二上学期期中考试数学试卷(含答案和详细解析)

【详解】设渐近线 y
所以 tan
b
，结合离心率公式即可得解.
a
b
x 的倾斜角为，则 2 60 ，即 30 ，
a
b
3
b2 2 3
，离心率 e 1 2
.

a
3
a
3
2 3

, .
故答案为：
3

9．直线 l 的方程为 2 x 2 1 y 3 0 R ，当原点 O 到直线 l 的距离最大时，
第 2页共 16页
8．已知 O a 0, b 0 的右支上存在两点 A ， B ，使得
a2 b2
AOB 60 ，则 C 的离心率的取值范围是.
2 3

,
【答案】
3

【分析】由题意得出 30 ，其中 tan
3
由直线的夹角公式可得 tan
2
1
3
π
π
1 ，又 [0, ] ，所以 .
1
4
2
1 ( 2) ( )
3
π
故答案为： .
4
2．平行直线 l1 : 3 x 4 y 1 0 与 l2 : 6 x 8 y 1 0 之间的距离是.
【答案】
1
的值为．
【答案】
1
3
【分析】整理直线方程，建立方程组，求其定点的坐标，结合直线垂直的斜率公式，可得答
案.
【详解】由 2 x 2 1 y 3 0 ，整理可得 x 2 y 1 2 x y 3 0 ，
x 2 y 1 0

上海市七宝中学2024-2025学年高三上学期期中考试数学试题(含答案)

七宝中学2024-2025学年高三上学期期中考试数学试题一、填空题（第1-6题每题4分，第7-12题每题5分，满分54分）1．函数的定义域为______．2．计算______．3．已知是1与9的等比中项，则正实数______．4．在的展开式中，的系数为______（用数字作答）．5．在复平面内，复数对应的点位于第______象限。

6．已知，则______．7．已知集合，其中可以相同，用列举法表示集合中最小的4个元素所构成的集合为______．8．已知是函数的导函数，若函数的图象大致如图所示，则的极大值点为______（从中选择作答）．9．已知函数．在中，，且，则______．10．如图，线段相交于，且长度构成集合，则的取值个数为______．11．抛物线的焦点为，准线为是拋物线上的两个动点，且满足．设线段y =(4log =a a =4(x -2x 2ii-π1sin 42θ⎛⎫+= ⎪⎝⎭πcos 4θ⎛⎫-= ⎪⎝⎭{}22,,A a a x y x y ==+∈N ,x y A ()f x '()f x ()f x y e '=()f x ,,,a b c d ()22cos 2xf x x =+ABC △()()f A f B =a b ≠C ∠=,AD BC O ,,,AB AD BC CD {}1,3,5,,90x ABO DCO ∠=∠=︒x 24y x =F ,,l A B π3AFB ∠=AB的中点在准线上的投影为，则的最大值是______．12．平面上到两个定点距离之比为常数的动点的轨迹为圆，且圆心在两定点所确定的直线上，结合以上知识，请尝试解决如下问题：已知满足，则的取值范围为______．二、选择题（本大题共4题，满分20分）13．已知是非零实数，则下列不等式中恒成立的是（）A ．B ．C ．D14．已知直线，动直线，则下列结论正确的为（）A ．不存在，使得的倾斜角为B ．对任意的与都不垂直C ．存在，使得与重合D ．对任意的与都有公共点15．一组学生站成一排．若任意相邻的3人中都至少有2名男生，且任意相邻的5人中都至多有3名男生，则这组学生人数的最大值是（）A ．5B ．6C ．7D ．816．若，有限数列的前项和为，且对一切都成立．给出下列两个命题：①存在，使得是等差数列；②对于任意的，都不是等比数列．则（）A ．①是真命题，②是假命题B ．①是假命题，②是真命题C ．①②都是真命题D ．①②都是假命题三、解答题（本大题共有5题，满分76分）17．如图，为正方体，动点在对角线上（不包含端点），记．M l N MNAB(0,1)λλλ>≠,,a b c 1,2,1a c b a b ===⋅=1122c a c b ++-a 1a a>2211a a a a+≥+12a a+>-≥-1:10l x y --=()()2:10l k x ky k k +-+=∈R k 2l π21,k l 2l k 1l 2l 1,k l 2l 3n ≥12,,,n a a a k k S 1k k S S +>11k n ≤≤-3n ≥12,,,n a a a 3n ≥12,,,n a a a 1111ABCD A B C D -P 1BD 11D PD Bλ=（1）求证：；（2）若异面直线与所成角为，求的值．18．已知点是坐标原点．（1）若，求的值：（2）若实数满足，求的最大值．19．英语学习中学生喜爱用背单词"神器"提升自己的英文水平，为了解上海中学生和大学生对背单词“神器”的使用情况，随机抽取了200名中学生和80名大学生，统计他们最喜爱使用的一款背单词“神器”，结果如下：百词斩扇贝单词秒词邦沪江开心词场中学生80604020大学生30202010假设大学生和中学生对背单词“神器”的喜爱互不影响．（1）从该地区的中学生和大学生中各随机抽取1人，用频率估计概率，试估计这2人都最喜爱使用“百词斩”的概率；（2）采用分层抽样的方式先从样本中的大学生中随机抽取8人，再从这8人中随机抽取3人．记X 为这3人中最喜爱使用“扇贝单词”的人数，求X 的分布列和数学期望；（3）记样本中的中学生最喜爱使用这四款背单词“神器”的频率依次为，其方差为；样本中的大学生最喜爱使用这四款背单词“神器”的频率依次为，其方差为的方差为．写出的大小关系．（结论不要求证明）20．在平面直角坐标系中，分别是椭圆的左右焦点，设不经过的直线与椭圆交于两个不同的点，焦点到直线的距离为．（1）求该粗圆的离心率；（2）若直线经过坐标原点，求面积的最大值；（3）如果直线的斜率依次成等差数列，求的取值范围．21．若斜率为的两条平行直线，曲线满足以下两条性质：（Ⅰ）分别与曲线至少有两个切点；（Ⅱ）曲线上的所有点都在之间或两条直线上．则称直线为曲线的一对“双夹线”，把“双夹线”之间的距离称为曲线在“方向上的宽度”，记为．已知曲线1AP B C ⊥AP 11D B π3λ()())1,1,1,1,,A B CO θθ-BC BA -=sin2θ,m n π,0,2mOA nOB OC θ⎛⎫+=∈ ⎪⎝⎭22(3)m n ++1234,,,x x x x 21s 1234,,,y y y y 2212341234;,,,,,,,s x x x x y y y y 23s 222123,,s s s 12,F F 22143x y +=1F l ,A B 2F l d l 2F AB △11,,AF l BF d k 12,l l ():C y f x =12,l l C C 12,l l 12,l l C C k ()d k．（1）判断时，曲线是否存在“双夹线”，并说明理由；（2）若，试问：和是否是函数的一对“双夹线”？若是，求此时的值；若不是，请说明理由．（3）对于任意的正实数，函数是否都存在"双夹线"？若是，求的所有取值构成的集合；若不是，请说明理由．2025届七宝中学高三（上）期中考试参考答案一、填空题1、； 2、； 3、3； 4．18； 5、四；6．；7、； 8、a ； 9、；10、4；11、1； 12、10、【答案】412、【答案】二、选择题13～16、BDBC三、解答题17、（1）证明：如图，连接．由已知可得，平面平面，所以，又是正方形，所以，又平面平面，所以平面，又动点在对角线上，所以平面，所以平面，所以．():sin C f x mx n x =+0,1m n ==C 1,1m n ==-1:1l y x =+2:1l y x =-()y f x =()d k ,m n ()y f x =()d k ()1,+∞3412{}0,1,2,4π311,BC AD AB ⊥111,BCC B B C ⊂11BCC B 1AB B C ⊥11BCC B 11B C BC ⊥1BC ⊂11,ABC D AB ⊂111,ABC D AB BC B = 1B C ⊥11ABC D P 1BD P ∈11ABC D AP ⊂11ABC D 1AP B C ⊥（2）以点为坐标原点，分别以所在的直线为轴，如图建立空间直角坐标系，设，则，则．由已知，可得，设点，则，所以，所以，即，所以，．又异面直线与所成角为，所以，即，解得或0，因为，所以满足条件．18、【答案】（1）；（2）16．19、【答案】（1）；（2）；（3）20．【答案】（1）；（2 （3）．21、【答案】（1）存在；（2）是，3）是，C 1CD CB CC 、、x y z 、、1CD =()()()()()()()1110,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0C D B C D B A ()11111,1,0,D B D B =-=11D PD Bλ=11D P D B λ= ()000,,P x y z ()10001,,1D P x y z =-- 00011x y z λλλ-=-⎧⎪=⎨⎪-=-⎩00011x y z λλλ=-+⎧⎪=⎨⎪=-+⎩()1,,1P λλλ-+-+(),1,1AP λλλ=---+AP ==AP 11D B π311π1cos ,cos 42AP D B 〈==〉 11cos ,2AP D 1λ=01λ<<45λ=12-320[]34E X =222231s s s <<12()d k =()0)d k n =>。

2023年七宝中学自招考试英语题库

2023七宝中学自招考试英语题库1Choice:1. From what I heard about their hotel and the terrible weather, they_______theirholiday at all.A. would have enjoyedB. shouldn't have enjoyedC. needn't have enjoyedD. can't have enjoyed2. I tried to call at your home last week but your dog simply ______not let me comethrough the gate.A. couldB. wouldC. mightD. should3. Here is my MP3 player! It's strange. I don't remember leaving it here, but Isuppose I ________so.A. can doB. must have doneC. need have doneD. should have done4. You __________Jeanne at the meeting this morning because she left for HongKong last night.A. mustn't have seenB. can't have seenC. shouldn't have seenD. wouldn't have seen5. The boss_______the worker how to do it, or the accident couldn't have happened.A. can't have toldB. ought to tellC. couldn't have been toldD. mustn't have told6. Haven't we told you that you_______ have 25 dollars if you have fixed ourcomputer?A. shallB. wouldC. should D could7. —There were already five people in the car but they managed to take me as well.—It ____________a comfortable journey.A. can't beB. shouldn't beC. must have beenD. couldn't have been8. ________this letter _________now?A. Need ... typedB. Does ... need to be typedC. Need ... to be typedD. Does ... need be typed9. Even if you don't like the work, you_________ it.A . must do B. must have done C. have to do D. should have done10. I know Miss Hamilton's handwriting. She always writes beautifully. Thishandwriting is so bad. So I believe this _________be hers.A. can notB. must notC. canD. should11. I promise you that I __________you a present next week.A. shall be givingB. will giveC. shall have givenD. shall give12. One ought _________for what one hasn't done.A. not to be punishedB. to not be punishedC. to not punishedD. not be punished13. One ought_________for what one hasn't done.A. not to be punishedB. to not be punishedC. to not punishedD. not be punished14. _________it be true that Albert passed the test in geography?A. MayB. ShouldC. CouldD. Would15. —Must we keep the room warm?—No, you _______.We'll leave soon.A. can'tB. shouldn'tC. needn'tD. mustn't16. He looks worried; I think he _________in the exam.A. ought to have failedB. should have failedC. must have failedD. must fail17. Mr. Lopes _____be in the classroom because I saw him only a minute ago here.A. mustn'tB. isn't able toC. can'tD. may not18. Listen ! Ms. Hood is speaking to the students. She _______them an Englishlesson.A. must giveB. must have givenC. must be givingD. ought to be given19. This fish is dead, I__________it into water five minutes ago.A. ought to putB. must putC. had to put D, should have put20. What a gift you've brought me! You are so kind, but you _________so.A. shouldn't doB. needn't doC. couldn't have doneD. needn't have done21. Lucy left home earlier than usual. She _______for class that day.A. can't have been lateB. cannot be lateC. shouldn't he lateD. may not be late22. Where is my key to the bike? I can't find it anywhere. I __________it.A. might loseB. would have lostC. should have lostD. must have lost23. --He must have gone by bus. --No, he_________by bus.A. mustn't goB. mustn't have goneC. can't goD. can't have gone24. You ________walk for miles and miles among the hills without meeting anyone.A. mustB. needC. mayD. should25. You________me, because I never said I liked coffee without milk.A. must be misunderstandingB. must misunderstandC. had to misunderstandD. must have misunderstood26 .The light of his room is still on, so he_______ out.A. mustn't goB. mustn't have goneC. can't have goneD. can't go27. The flowers are dead. You _________them.A. ought to waterB. should have wateredC. must have wateredD. have to water28. The movie was wonderful. You ___________to see it some day.A. haveB. hadC. oughtD. should29. Today is your holiday. You ___________here to work.A. shouldn't have comeB. needn't have comeC. mustn't have comeD. cannot have come30. Since the road was wet this morning, it _________last night.A. must rainB. must be rainedC. must have rainedD. had to rain31. You look very tired. You must__________to bed very late last night.A. be goneB. be goingC. have goneD. have been gone32. You _________such a long report, the new boss never likes reading a report over200 words,but you've written more than 500.A. needn't writeB. needn't have writtenC. didn't need to writeD. didn't need write33. I didn't see her in the meeting room this morning, so I think she_______at themeeting.A. mustn't have spokenB. shouldn't have spokenC. needn't have spokenD. couldn't have spoken34. She knows the city quite well. She_________there before.A. has goneB. had beenC. might goD. must have been35. He ought ____________so soon.A. to have not leftB. to not have leftC. not to have leftD. not have left36. You __________me up. I don't have to go to work today.A. didn't need to wakeB. needn't have wokenC needn’t to workD can’t have woken37. He ________so hurriedly that day, actually there was still more than half an hourleft.A. needn't leaveB. couldn't leaveC. oughtn't to leave D needn’t have left38. Be quick! They _______ for us at the school gate now.A. must have waitedB. must waitC. must be waitingD. ought to have waited39. –I rang your fiat yesterday. A man answered. But I didn't recognize the voice.--0h, it my brother Peter.A. must beB. mustC. can have beenD. might be40. The classroom is empty. I think they_______to the library.A. should have goneB. must goC. must have goneD. ought to41. The classroom is empty. I think they_______to the library.A. should have goneB. must goC. must have goneD. ought to42. When I saw her crying, I realized I _________her the news so soon.A. should have toldB. must have toldC. should not tellD. shouldn't have told43. Go and have _______before we set out.A. sleepB. a sleepC. the sleepD. sleeps44. Joe _______here by now, that's too bad. We can't have the meeting without him.A. ought to beB. should comeC. should have comeD. may have come45. Mary didn't answer the door bell. She _________asleep.A. ought to fallB. can have fallenC. might have fallenD. should have fallen46. He _______without saying good-bye to them because he always has goodmanners.A. mustn't have leftB. may not have leftC. shouldn't have leftD. can't have left47. Jim is very sorry that he has failed in the exam. He said he_______harder.A. must nave studiedB. would have studiedC. ought to studyD. should have studied48. Teresa's car stopped on the highway. It_______out of gas,A. may have runB. may runC. should runD. should have run49. It's still early. You___________.A, mustn't hurry B. wouldn't hurryC. may not hurryD. don't have to hurry50. You look well today. You _______a good sleep last night, I think.A. must haveB. hadC. must have hadD. will have51. The door is open. They _________to lock it.A. may forgetB. must forgetC. might forgetD. must have forgotten52. ___________you wait for me here?A. ShallB. ShouldC. WillD. May53. Miss Li isn't at home. She _______to the office.A. may have beenB. should have goneC, would have gone D. must have gone54. --1 think you were mistaken.--Yes, I ________mistaken.A. must beB. could beC. may beD. might have been55. –He _____be hungry. He's just eaten an apple.--l think he_______be hungry. He's walked a long way.A. can't ... mustB. mustn't mustC. shouldn't ... canD. can't ... can56. It seems that nothing _________to save him at the moment.A. can doB. can be doneC. is to doD. is going to do57. She ought_________ for that.A. not to be praisedB. to not be praised C to not praised D not to praised58. I don't think he________ a new watch.A. need to buyB. needs buyC. needD. need buy59. --May I take this dictionary out of the library?—NO, you_______________>A. needn'tB. mustn'tC. can'tD. shouldn't60. She ________to Vancouver before. She is very familiar with the city.A. ought to have beenB. should have beenC. can not have beenD. must have61. The girl is sixteen. Mother__________wash the clothes for her any longer.A. needs not toB. need notC. need not toD. needs not62. .Look at that man . It must be our Principal.-- No , it _______ him.A. must not beB. can't beC. needn't beD. would not be63. -Need I be there tonight? —Yes, you_______A. mustB. needC. canD. could64. The man standing over there __________be Mr. Morrison. He has gone to India.A. may notB. can'tC. mustn'tD. shouldn't65. The living room simply doesn't need_________A. to cleanB. to cleaningC. to be cleanedD. to be cleaning66. ___________the story be true? I hardly believe it.A. MayB. WouldC. MustD. Can67. —Must I finish all the exercises today?—No, you _________But you__________finish them before Friday.A. m ustn't ... needB. don't have to… mustC. needn't ...need D shouldn’t…ought68. Did you hear me come in last night?No, I _______ asleepA. must beB. must have beenC.may beD. would be69. That would be a terrible mistake.No, I don’t think it __________ a mistake.A. must beB. mustn’t beC. can beD. can’t be70. There is no light in the room. I think he__________in.A. mustn't beB. can't beC. mustn't have beenD. should not be71. The house is quiet . The Browns ________to bed.A. must goB. must have goneC. should have beenD. should not be72. You __________have handed in your homework earlier.A. wouldB. had betterC. ought toD. must73. --t's a beautiful day for skating, isn't it?-- Yes, it's very nice. The radio said______, though.A. it might snow laterB. it would be fine laterC. it might become to rain laterD. it would shine later74. Tony was not surprised at all at the matter. He must ______ the story.A. have knowB. knowC. be knownD. be knowing75.Don’t have anything before go to bed,you?A.willB.doC.won’tD.wouldn’t76.Who would like to heip me with the heavy box?IA.shallB.willC.canD.may77.A squirrel doesn’t hibernate in winter,but it worry about itsfood.A.needs notB.needn’t toC.needn’tD.doesn’t need78.It ‘s unlikely to rain.you not take an umbrella with you.A.will haveB.needC. DareD.could79.She doesn’t answer the phone.she be out.A.canB.mightC.has toD.should80.Please open the window, ?A.can’t youB.aren’t youC.do youD.will you81.May i stop here?No,youA.mustn’tB.might notC.needn’tD.won’t82.Let’s go to the cinema,?A.do weB.do youC.shall weD.will you83.The teacher has told the boy that he pay for the missing book.A.need notB.need not toC.needs notD.needs not to84.You watch DVD all the evening if you wish,he said to her.A.shouldB.have toC.ought toD.may85. I go there at once?No ,I don’t think youA.must....have toB.do...need toC.need...mustD.may...ought to86. you like to have another cup of tea?Yes,please.A.canB.mustC.wouldD.may87.Do sit down, ?A.do youB.don’t youC.won’t youD.shall you88.I have been sitting up writting my paper for two nights.do you think i stand another night without sleeping?A.couldB.can be able toC.wouldD.shall89.Will you please do me a favor?Yes.IA.shallB.willC.canD.might90.Do as you are told, ?A.can youB.is itC.shall weD.will you91..have a cup of tea, ?A.can youB.is itC.shall weD.will you92.You to tell me the truth if you want my help.A.shouldB.had betterC.mustD.have93.Lieten!is that jeanne’s voice?she to the cinema.A.must have goneB.oughtn’t to goC.can’t have goneD.shouldn’t have gone94.And i to ask you,because i thought i must be wrong.A.didn’tB.not dareC.not to dareD.dared not95.Let us leave here, ?A.shall youB.will youC.shall weD.will we96.Clever boys need never work very hard, ?A.needn’t theyB.don’t theyC.do theyD.nee d they97.She asked Mr.palmer if she type the letter right then.A.shallB.wouldC.willD.should98.Peter has been trying for an hour,but his car still start.A.won’tB.wouldn’tC.didn’tD.hasn’t99.If you are going to the club tonight,you Richard there.A.might meetB.might have metC.may have metD.may have been met 100.You for what you have done!the boss threatened one of his employees.A.will be punishedB.shall be punishedC.will have been punishedD.shall have been punished101. Swim to that rock and back again?A.Dare heB.dares heC.will dare heD.will he dare102.Sherry it if she doesn’t want to.A.need not doB.needs not doC.needs not to doD.does not need to 103. Do it myself than try to persuade such a silly fellow like him.A.I’d likeB.I’d ratherC.I’d betterD.I’d like to104.What’s the matter with the door?I can’t open it.I try to open it for you?A.willB.shallC.won’tD.need105.Have you read airport written by Arthur Hailey?No,I haven’t,like to read it.A.IB.I’llC.I’mD.I’d106. he open the door?Yes,please.A.shallB.willC.CanD.would107.He was a good swimmer so he swim to the shore when the boat sank.A.couldB.mightC.succeeded toD.was able to108.Must i wait here until you come back?A.No,you can’tB.No,you needn’t C, No,you must D.No,you may 109.He not pay unless he is forced to pay.A.shallB.willC.shouldD.would110.The man you want to see has arrived, he come now?A.doesB.willC.shallD.is111.If you really want yourself to be in good health,you must always so much.A.not be smokingB.not...have smokedC.not so smokeD.be not smoking112.Michael be a policeman,for he’s much too short.A.needn’tB.can’tC.shouldD.may113.Susan written a report like this.A.can haveB.mustn’t haveC.can’t haveD.ought to not have114.I wonder how he that to the teacher.A.dare to sayB.dare sayingC.not dare sayD.dared say115.When he was there,he go to that coffee shop at the corner after work every day.A.wouldB.shouldC.had betterD.might116.Sir,you be sitting in this waiting room,it is for women and children only. A.oughtn’t B.can’t C.won’t D.needn’t117.You can’t immagine that a well-behaved gentleman be so rude to a lady.A.mightB.needC.shouldD.would118.It has been announced that candidates remain in their seats until all the papers have been collected.A.canB.willC.mayD.shall119.How you say that you understand the whole story if you have covered only part of the article?A.canB.mustC.needD.may120.Children under 12 years of age in that country be under adult supervision when in a public libraryA.canB.mustC.needD.may121.Jack yet,otherwise he would have telephoned me.A.must haveB.shouldC.need haveD.ought to have122.there was a lot of fun at yest erday’s party.you come,but why didn’t you?A.must haveB.shouldC.need haveD.ought to have123.My sister met patrick at the grand theatre yesterday afternoon,so he your lecture.A.couldn’t have attendedB.needn’t have attendedC.mustn’t have attendedD.shouldn’t have attended124.Have you ever regretted doing something you ?A.should doB.must have doneC. Shouldn’t have doneD. Mustn’t have done125.When farmers use insecticide to kill insects,somepoisonous chemicalsstay on the crops or in the soil,and that is also dangerous.A.mustB.shouldC.ought toD.may126.When a grade 12 student is not well prepared when he finishes high school,he first gain skills necessary to begin a university program,which addd a year or more to their time at university.A.must canB.can mustC.should needD.might will127.If you leave the interrviewer a bad impression during an job interview,he will assume you have a lot of other unsatisfactory characters,worse,he or she take the time to give you a second chance.A.may notB.must notC.should notD.can not128.There are a lot of people there, we go and have a look?A.mustB.doC.willD.shall129.You see.my newly bought alarm clock is broken.i itA.should not buyB.need not have boughtC.ought not buyD.ought not to have bought130.I sincerely hope that my son enter a universityA.willB.wouldC.shouldD.might备课词组1.Consider as/to be2.Consist of3.Contribute to4.Convince sb of sth5.Cooperate with sb6.Cope with7.Count on8.Cover a long distance9.Cut down on10.Cut off11.Date back to12.Devote oneself to dong13.Die out14.Differ from15.Distinguish from16.Divide into17.Do harm/good to18.Do nothing but do19.Draw/form/reach/make a conclusion20.Put the following into english or vice versa翻译：中译英1.I will see,hear,read and learn what my superiors will consider as fit for me.2.those who have no way to get such extra marks will likely feel justified to cheat in examinations,whch they will consider as their own way to make up for their lack of power and money.3.Unite one consists of two lessons.4.His color photographs consists of common artifacts and scenes from every day life ,which have been rearranged,assembled,and constructed into variousforms,patterns,and illustrations.5.Your success should contribute to the success of others!6.Understand that you deserve the best that life has to offer and that you have so much to contribute to the world.7.Our monitor contributes lots of spare time to our class.8.The shop assistant convinced us that his product was of good quality.9.The convincing proof that smoking causes cancer has failed to convince hundreds of millions of people to abandon the vile habit.10.It wouldn’t convince anybody of anything.11.If you feel safe and allow allow yourself to feel safe,you can learn,you can cooperate with others,you can build societies.12.We put off the conference in order to better cope with the tense situation13.Some individuals drink to cope with or medicate emotional problems.14.Whenever you have a team effort,you need to remember that your teammates count on you and want you to be successful15.Soon we could count on five or six eggs a week16.What puzzles me is how he was able to cover such a long distance on foot17.We should cut down on water consumption18.Ride a bicycle this will cut down on carbon emissions and money you spend on a car19.With the main highwy cut off,there is no connection to the rest of the country20.If you don’t pay th e bill,we will cut off your electricity21.The artifacts,mainly textiles and ceramic objects,date back to the variety of cultures established in peru before its coloniza by the spanish in the 16th century 22.Any student looking for a part-time job must be realistic about the time they can devote to it and how far they are prepared to travel23.The current wave of protests may die down or be brutally repressed24.We are hoping for the storm to die down before we go out sailing.otherwise it could too be dangerous25.Why did such a durable specier die out?26.How many millions of years ago did this predatory dinosaur live,and when did it die out?27.The two boxes are same in color and different in shape28.The box differs from that one in shape29.The main characters that people can distinguish from animals are the subjective consciousness,language and sociality30.Trademark is a part of brand,the forming of a excellent brand firstly need a trademark designation that is convenient for the customer to distinguish from the other trademarks31.Our class is usually divided into six groups when we have class discussion32.Eating too much does harm to our health33.I wanted to be with my family even though there was nothing to do but wait34.It is important to draw a conclusion from the facts部分答案：I1——5：D A B B C 6——10：A D B C A11——15：D A D A C 16—20 : C C C D D21-25:AD D C B 26-30: C B C B C31-35:C B D D C 36-40: B D C B B41-45:A D C B C 46-50:D D A D C51-55:D C D D A 56-60:B A D B D61-65:B B A B C 66-70: D B B C B71-75:B C A AA 76-80:BCBBD81-85:ACADA 86-90:CCABC91-95:DDCAB 96-100:DDAAB101-105:AABBD 106-110:ADBBC111-115:ABCDA 116-120:ACDAA121-125:CDACD 126-130:AADDA。

上海七宝中学2020【冲刺实验班】提前自主招生物理模拟试卷(共6套)附解析

重点高中提前招生模拟考试物理试卷（1） (2)重点高中提前招生模拟考试物理试卷（2） (49)重点高中提前招生模拟考试物理试卷（3） (88)重点高中提前招生模拟考试物理试卷（4） (126)重点高中提前招生模拟考试物理试卷（5） (167)重点高中提前招生模拟考试物理试卷（6） (204)重点高中提前招生模拟考试物理试卷（1）第Ⅰ卷（选择题）一．选择题（共10小题，满分20分，每小题2分）1．（2分）如图所示，一个小物体沿光滑斜面由A点上方从静止开始下滑，在它通过的路径AE分成相等的四段，v1、v2分别表示通过AB段、BC段的平均速度，v表示BE段的平均速度，则v1、v2与v的关系是（）A．v1＜v2＜v B．v1=v2＜v C．v1=v2＞v D．v1＜v＜v2 2．（2分）养鱼的水族箱里在安装“循环、过滤、加氧三合一”水泵，水泵，如图所示。

水泵工作时，水从管甲处吸入，在管乙处快速喷出，而管乙侧壁上有孔通过软塑料管丙与外部空气相通。

从管乙处喷出的水流中，就混有大量气泡，增加水中氧气含量。

关于这一生活中的现象，下列说法正确的是（）A．管乙内水的流速大，压强大B．大气压强大于管乙内液体压强，空气被压入水流C．气泡在水中上升的过程中，气泡内部压强不变D．气泡在水中上升的过程中，气泡所受浮力不变3．（2分）小明同学家住5楼一天，他提着装有30个鸡蛋的塑料袋从1楼走到家里，在此过程中，下列估算不合理的是（）A．他提鸡蛋的力做的功约为200 JB．他提鸡蛋的力做功的功率约为3WC．他爬楼做的功约为6×102 JD．他爬楼做功的功率约为1×102 W4．（2分）我国的民谚、俗语和诗词中往往蕴含着丰富的物理知识。

在下列几条民谚、俗语和诗词中，能够用分子动理论来解释的是（）A．绿树浓阴夏日长，楼台倒影入池塘B．水晶帘动微风起，满架蔷薇一院香C．坐井观天，所见甚小D．余音绕梁，三日不绝5．（2分）中央电视台的“三星智力快车”节目介绍说，蜜蜂飞行与空气摩擦产生静电，因此蜜蜂在飞行中就可以吸引带正电的花粉，以下说法正确的是（）A．蜜蜂与空气摩擦得到电子B．蜜蜂与空气摩擦失去电子C．空气不带电D．空气带负电6．（2分）太阳光与水平方向成30°角，要使太阳光经平面镜反射，反射光沿水平方向传播，则平面镜与水平方向所成的角度（锐角）是（）A．15°B．20°C．30°D．35°7．（2分）如图所示，当只闭合S3时，电阻R1的电功率P1=4W，R1两端电压为U1，R2消耗的电功率为P2；当只闭合S1、S2时，电阻R1的电功率P1′=9W，此时R1两端电压为U1′，R2消耗的电功率为P2′．则下列选项错误的是（）A．U1꞉U1′=2꞉3B．R1꞉R2=1꞉2C．P1꞉P2=2꞉1D．P2꞉P2′=1꞉9 8．（2分）关于温度计下列说法不正确的是（）A．普通温度计不能离开被测物体观察温度B．体温计的测量范围是35℃﹣42℃C．常见的温度计都是用水银作测温物质D．常用液体温度计是根据液体热胀冷缩的原理制成的9．（2分）如图所示，凸透镜的焦距为5厘米，在透镜左侧10厘米处，有一个与主光轴垂直的物体AB，在透镜右侧15厘米处放一个平面镜，镜面与凸透镜的主光轴垂直，则该光具组中，物体AB的成像情况是（）A．一个正立实像，一个倒立实像，一个正立虚像B．一个正立实像，一个正立虚像，一个倒立虚像C．一个倒立实像，一个正立虚像，一个倒立虚像D．一个正立实像，一个倒立实像，一个倒立虚像10．（2分）如图所示，甲图中圆柱形容器中装有适量的水。

上海市七宝中学2024-2025学年高三上学期期中考试数学试题(解析)

2024-2025年七宝中学高三上期中一、填空题（第1-6题每题4分，第7-12题每题5分，满分54分）1.函数y =__________．【答案】()1,+∞【解析】【分析】根据分式和根式对自变量的要求可得答案.【详解】因为y =，所以10x ->，即1x >，所以定义域为()1,+∞.故答案为：()1,+∞.2.计算(4log =______．【答案】34##0.75【解析】【分析】运用对数运算性质计算即可【详解】(23242233log log 2log 244===故答案为：34.3.已知a 是1与9的等比中项，则正实数a =______．【答案】3【解析】【分析】根据等比中项的定义得到方程，解出即可.【详解】由题意得29a =，且0a >，解得3a =.故答案为：3.4.在4(x -的展开式中，2x 的系数为______（用数字作答）．【答案】18【解析】【分析】由二项式展开式的公式即可得到答案.【详解】4(x -的展开式中第1r +项为：(414C rr r r T x -+=，∴令42-=r ，即2r =，(2242234C 18T x x -==∴2x 的系数为：18故答案为：185.在复平面内，复数2i i -对应的点位于第______象限.【答案】三【解析】【分析】经计算结合复数的坐标形式可得所在象限.【详解】2i 12i i-=--，其在复平面对应坐标为()1,2--，故该点在第三象限.故答案为：三6.已知π1sin 42θ⎛⎫+= ⎪⎝⎭，则πcos 4θ⎛⎫-= ⎪⎝⎭______．【答案】12##0.5【解析】【分析】依题意利用两角之间的关系并根据诱导公式计算可得结果.【详解】根据题意，由诱导公式可得πππππ1sin cos cos cos 424442θθθθ⎛⎫⎛⎫⎛⎫⎛⎫⎛⎫+=-+=-=-= ⎪ ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭⎝⎭,所以π1cos 42θ⎛⎫-= ⎪⎝⎭.故答案为：127.已知集合{}22,,N A a a x y x y ==+∈，其中,x y 可以相同，用列举法表示集合A 中最小的4个元素所构成的集合为______．【答案】{}0,1,2,4【解析】【分析】N 是自然数集且22a x y =+，所以,x y 的值越小，则a 的值越小，注意相同元素要舍去，即可得到对应集合A .【详解】{},0,1,2,3,4x y ∈ 要想22a x y =+越小，则,x y 取值越小，故0x y ==时，0a =；故0,1x y ==时，1a =；故1,1x y ==时，2a =；故2,0x y ==时，4a =；故集合A 中最小的4个元素所构成的集合为{}0,1,2,4，故答案为：{}0,1,2,4.8.已知′是函数()f x 的导函数，若函数()e f x y '=的图象大致如图所示，则()f x 的极大值点为______（从a b c d ,,,中选择作答）．【答案】a【解析】【分析】由图象可得()e f x y '=与1的大小情况，由此可得()f x '与0的大小关系，即可得()f x 单调性及答案.【详解】()()()0e 1e e 0f x f x f x '''>⇔>⇔>，则()()e 10f x f x ''<⇔<.又由图可得()()e 10f x f x ''>⇔>时，()()(),,,x a b d d ∈-∞+∞ ；()()e 10f x f x ''<⇔<时，(),x a b ∈.则()f x 在()(),,,a b -∞+∞上单调递增，在(),a b 上单调递减.则()f x 的极大值点为a .故答案为：a9.已知函数()22cos 2x f x x =+．在ABC V 中，()()f A f B =，且a b ≠，则C ∠=______．【答案】π3【解析】【分析】化简函数π()2sin(16f x x =++，根据题意，得到ππsin()sin()66+=+A B ，进而求得2π3A B +=，即可求解；【详解】由函数2π()2cos cos 12sin(126x f x x x x x =+=++=++，因为()()f A f B =，可得ππsin(sin()66+=+A B ，在ABC V 中，因为,(0,π)A B ∈，所以ππ7πππ7π(,(,)666666A B +∈+∈，又因为a b ≠，所以A B ≠，所以ππ(()π66+++=A B ，解得2π3A B +=，因为πA B C ++=，所以π3C =.故答案为：π3.10.如图，线段,AD BC 相交于O ，且,,,AB AD BC CD 长度构成集合{}1,3,5,,90x ABO DCO ∠=∠=︒，则x 的取值个数为______．【答案】4【解析】【分析】由直角三角形性质可得5AD =或x ，后由勾股定理结合集合互异性可得答案.【详解】如图，因为90ABO DCO ∠=∠=︒，且,,,AB AD BC CD 长度构成集合{}1,3,5,x ，因为直角三角形ADE 中，斜边AD 一定大于直角边AE 和DE ，所以5AD =或x ，当5AD =时，可分为AE x =，此时由勾股定理可得222(13)5x ++=，解得3x =；CE x =，此时由勾股定理可得2221(3)5x ++=，解得3x =-；CD x =，此时由勾股定理可得2223(1)5x ++=，解得3x =；由集合的互异性，可知3需舍去；当AD x =，可分为：2225(13)x ++=，解得x =；2221(53)x ++=，解得x =；2223(15)x ++=，解得x =；综上，x 的值可能为3-.故答案为：411.抛物线24y x =的焦点为F ，准线为,,l A B 是拋物线上的两个动点，且满足π3AFB ∠=．设线段AB 的中点M 在准线l 上的投影为N ，则MN AB 的最大值是______．【答案】1【解析】【分析】由抛物线定义对线段进行转化，再由中位线得到线段M ，解三角形得到线段A ，由基本不等式得到取值范围，从而得到最值.【详解】设AF a BF b ==、，如图所示，根据抛物线的定义，可知AF AQ =，BF BP =，在梯形ABPQ 中，有()12MN a b =+，在ABF △中，222222π||2cos()33AB a b ab a b ab a b ab =+-⋅=+-=+-，又222(),||242a b a b a b ab AB AB +++⎛⎫≤∴≥⇒≥ ⎪⎝⎭，()1212a b MN a b AB +∴≤=+，故MN AB 的最大值是1．故答案为：1.12.平面上到两个定点距离之比为常数(0,1)λλλ>≠的动点的轨迹为圆，且圆心在两定点所确定的直线上，结合以上知识，请尝试解决如下问题：已知,,a b c 满足1,2,1a c b a b ===⋅= ，则1122c a c b ++- 的取值范围为______．【答案】【解析】【分析】利用题目提供信息结合图形，将1122c a c b ++- 转化为()12CE CB + ，后由图形以及不等式知识可得答案.【详解】如图所示建立坐标系，则()(()11,0cos ,sin ,02a OA b OB c OC D αα⎛⎫======- ⎪⎝⎭ ，，，．其中[)π,πα∈-,则11112222c a c b OC OD c b CD BC ++-=-+-=+ .设()(),,,C x y E m n 满足2CE CD = ，故22221()()442x m y n x y ⎛⎫-+-=++ ⎪⎝⎭，整理得到222224244222004m m x mx ny m n n n m n -=⎧=-⎧⎪+=--++⇒-=⇒⎨⎨=⎩⎪+=⎩.故()()112,022E CD BC CE CB -+=+ ，．当BCE 三点共线时，即BE 与单位圆相切，C 在113,22C ⎛⎫- ⎪ ⎪⎝⎭时，有最小值为12BE = ；又()(cos 2,sin cos 1,sin EC BC αααα=+=-- ，，则()()(222222cos 2sin cos 1sin EC BC αααα+=+++-+-。

【考试必备】2018-2019年最新七宝中学初升高自主招生语文模拟精品试卷【含解析】【4套试卷】

2018-2019年最新七宝中学自主招生语文模拟精品试卷（第一套）（满分：100分考试时间：90分钟）一、语文基础知识（18分，每小题3分）1．下列词语中加点的字，读音全都正确的一组是（）A．连累(lěi) 角(juã)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hâng) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测C．笑靥(yâ) 顷(qīng)刻汗涔(cãn)涔休戚(qì)相关D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交2、下列各项中字形全对的是（）A、橘子州偌大急躁光阴荏苒B、蒙敝犄角慰籍书生意气C、敷衍磕绊笔竿艰难跋涉D、翱翔斑斓屏蔽自怨自艾3、依次填入下列各句横线上的词语，最恰当．．的一项是（）⑴虽然他尽了最大的努力，还是没能住对方凌厉的攻势，痛失奖杯。

⑵那些见利忘义，损人利己的人，不仅为正人君子所，还很可能滑向犯罪的深渊。

⑶我认为，真正的阅读有灵魂的参与，它是一种个人化的精神行为。

A.遏制不耻必需B.遏止不耻必需C.遏制不齿必须D.遏止不齿必须4、下列句中加点的成语，使用恰当的一句是（）A、故宫博物院的珍宝馆里，陈列着各种奇珍异宝、古玩文物，令人应接不暇。

B、任何研究工作都必须从积累资料做起，如果不掌握第一手资料，研究工作只能是空中楼阁．．．．。

C、电影中几处看来是闲笔，实际上却是独树一帜之处。

D、这部精彩的电视剧播出时，几乎万人空巷，人们在家里守着荧屏，街上显得静悄悄的。

5、下列句子中，没有语病的一项是（）A 大学毕业选择工作那年，我瞒着父母和姑姑毅然去了西藏支援边疆教育。

B北京奥运会火炬接力的主题是‚和谐之旅‛，它向世界表达了中国人民对内致力于构建和谐社会，对外努力建设和平繁荣的美好世界。

C他不仅是社会的一员，同时还是宇宙的一员。

他是社会组织的公民，同时还是孟子所说的‚天民‛。