必修四综合复习
高中数学必修4复习教案
高中数学必修4复习教案
第一部分:向量与空间解析几何
1. 向量的概念与运算
- 向量的定义:大小和方向确定的量
- 向量的运算:加法、减法、数乘、数量积、向量积
2. 向量的数量积
- 定义:两个向量的数量积等于两个向量的模的乘积与夹角的余弦值的乘积- 性质:交换律、分配律、数量积为零的条件
3. 向量的向量积
- 定义:两个向量的向量积是一个垂直于这两个向量构成的平面的向量
- 性质:满足右手定则、交换律、分配律等
4. 空间直线和平面
- 空间直线的方程:点向式、对称式、参数式等
- 空间平面的方程:点法式、一般式等
第二部分:概率与统计
1. 概率的基本概念
- 概率的定义:某一事件发生的可能性大小
- 概率的性质:介于0和1之间、互斥事件、独立事件等
2. 随机事件与概率
- 随机事件的分类:必然事件、不可能事件、对立事件等
- 求概率的方法:古典概型、几何概型、统计概型等
3. 统计的基本概念
- 统计的定义:收集、整理、分析和解释数据的方法
- 数据的统计特征:均值、中位数、众数等
4. 统计图的作画
- 直方图、饼图、散点图等的绘制方法
- 图形的解读:分布情况、相关性等
以上是高中数学必修4的复习教案范本,希望对你的复习有所帮助。
祝学习顺利!。
统编版高中政治必修4复习资料
统编版高中政治必修4《哲学与文化》复习资料第一单元探索世界与把握规律第一课时代精神的精华1.哲学的产生:哲学智慧产生于人类的实践活动,起源于人们在生活实践中对宇宙、人生的追问和思考。
2.哲学的含义:①哲学是一门热爱智慧、追求智慧的学问。
②哲学是关于世界观的学问,是系统化理论化的世界观,是世界观和方法论的统一;③哲学是对自然、社会和思维知识的概括和总结。
3.哲学与具体科学的关系:①具体科学的进步推动哲学的发展;②哲学为具体科学研究提供世界观和方法论的指导。
4.哲学的基本问题是思维和存在的关系问题。
它包括两个方面的内容:①思维和存在何者是本原的问题;②思维和存在有没有同一性的问题,即思维能否正确认识存在的问题。
5.哲学的基本派别:唯物主义和唯心主义。
6.马克思主义哲学的基本特征①实践的观点是马克思主义哲学的核心观点。
马克思主义哲学第一次在科学的基础上实现了唯物主义与辩证法的有机结合,实现了唯物辩证的自然观与历史观的统一,②马克思主义哲学实现了实践基础上的科学性和革命性的统一③与时俱进是马克思主义哲学独特的理论品质。
第二课探究世界的本质=辩证唯物论(物质、意识、规律、主观能动性)一、自然界的物质性:自然界在本质上是物质的,自然界中的事物是按照自身固有的规律形成和发展的。
我们要尊重自然、保护自然,学会与自然和谐相处。
二、世界的物质性:物质是本原,意识是物质的派生物,物质决定意识。
世界是物质的世界,世界的真正统一性就在于它的物质性。
要自觉坚持辩证唯物主义的物质统一性原则,坚定马克思主义无神论立场,反对一切有神论。
三、物质与运动的辩证关系:①物质是运动的物质,运动是物质固有的根本属性和存在方式。
②运动是物质的运动,物质是运动的承担者。
要用运动、变化、发展的观点看问题。
四、规律的客观性与普遍性:①规律具有客观性和普遍性,必须尊重规律,按规律办事。
②规律是客观的,并不意味着人在客观规律面前无能为力。
人可以在认识和把握规律的基础上,根据规律发生作用的条件和形式利用规律,改造客观世界,造福人类。
必修四复习
必修四复习I.单词总结Unit1. achievement / project / campaign / behave / behavior / shade / move off / worthwhile / observe / respect / argue / lead…life / crowd / inspire / support / look down on (upon) /refer to / by chance / come across / intend / considerate / consideration / deliver / carry onUnit2 struggle / decade / hunger / disturbing / expand / thanks to / battle / rid / rid …of / be satisfied with / would rath er / therefore / equip / export / occupation / confuse / regret / build up / lead to / nutrition / discovery / focus on / reduce / comment Unit3 up to now / content / be content with / astonish / astonishing / fortunate / unfortunately / ordinary / bored / entertain / throughout/ worn / failure / overcome / pick out / cut off / convince / direct /outstanding / particular / particularly / occasion / slide (slid slid ) whisper / mess / reactUnit4 represent / curious / approach / defend / defend against / major / misunderstand / likely / be likely to / in general / ease / at ease / anger / subjectiveUnit5 various / be famous for / whichever / swing / attraction / no wonder / wherever / preserve / minority / advance / in advance / get close to / come to life admissionII.句型汇总1.广州亚运会值得一看。
人教版高二必修四综合复习学生版
打造课外辅导第一品牌XXXXXX 教育个性化辅导教案高二上英语学生姓名 XXXXXX辅导老师 _编者 SMILEXXXXXX---个性化辅导专家我们深知学生时间一去不复返的珍贵,所以我们坚持做良心教育工程。
此教案是根据您的真实情况量身定制的,是最适合您的个性化辅导教案。
主管签字:_______日期:_______XXXX教育个性化辅导教案教师:学生:课次: 4 时间:2019年10月19日17:00-18:30段XXXXX教育XX校区知识点回顾:作业讲解(完成教案三练习)必修四综合复习Part 1 重点词汇1)单项选择1. Dear Tom, _________ yourself. After all, you are a grown-up now, you should set an ex-ample for others.A. behaveB. conductC. expressD. perform2. The little boy has the habit of _________ people in the busy street.A. organizingB. respectingC. observingD. delivering3. The lecture given by the visiting professor ______ great interest in scientific research among the young people.A. entertainsB. inspiresC. statesD. attracts4. Though medical science has _____ a general control over several deadly diseases, some of them are likely to return soon.A. supportedB. achievedC. intendedD. struggled5. With science and technology developing fast, nowadays all the fishing boats are _____ with radio communication system.A. equippedB. occupiedC. circulatedD. discovered6. I’m sure he will certainly make _________ on your composition if he wants to.A. focusB. commentsC. argumentD. admission7. Alice _________ her father that both she and her husband would be happy if he would live with them.A. convincedB. underlinedC. overcameD. approached8. Children have always been _________ about how living things on the earth exactly began.A. curiousB. worthwhileC. confusedD. particular9. If you’re going to come, please let me know in __________.A. advanceB. whisperC. reactionD. length10. Tom’s grandparents are still ________ to live in the countryside, though there are s ome-times disadvantages there.A. satisfiedB. fortunateC. contentD. unique11. The local doctor couldn’t tell what was wrong, so he sent her to see a(n)__________.A. specialistB. representativeC. emergencyD. associate12. She is responsible for the _________ of wage levels within this company.A. referenceB. outputC. performanceD. determination13. As is known to all, there is a __________ gap between parents and their kids.A. connectionB. generationC. conceptD. sickness14. They launched a new __________ against corruption.A. freedomB. projectC. campaignD. production15. The worst barrier to your future success is not lack of money, but that of full __________, so please be optimistic.A. confidenceB. directionC. employmentD. occasion16. Your papers can be ___________ for future use. Therefore, don’t handle them in a hurry.A. defendedB. reducedC. explainedD. preserved17. The young guy is very popular with his fellows for his black _________. He can always bring great pleasure to people.A. kindnessB. humorC. modestyD. summary18. As we all know, nowadays electric appliances have been applied to _________families.A. usualB. commonC. ordinaryD. particular19. Even if the fool do not control the world, it isn’t because they are not ________ the m a-jority.A. onB. atC. toD. in20. We do not have enough money, __________, we can not afford to buy the new car.A. thereforeB. moreoverC. meanwhileD. however 2)单词拼写1. The prisoner __________________(努力,奋斗,斗争,挣扎)but couldn’t escape.2. Several __________________(十年)have elapsed since I graduated from the college.3. His __________________(饥饿,渴望)for knowledge drove him to the library.4. Have you got the one that have an __________________(输出,产量)of 150 horsepower?5. With __________________(膨胀,伸展)wings, the hawk soared above us.6. By persistence many countries won __________________(自由,自主)in the end.7. The soldiers are fully ________(装备,配备), and they are ready to join the battle at any time.8. We do not have enough money. _________(因此,所以)we can not afford to buy the new car.9. He returned from Paris and found his office was under someone else’s ____________(占有).10. Those words are __________________(下划线,强调)in the English book.11. Joan __________________(评论,注释)that it was a better play than usual, and I agreed.12. He said that he __________________(后悔,惋惜,遗憾)their failure to reach an agreement.13. The soldiers __________________(战斗,战役)against the opposing army all day.14. In those days poverty _____________(减小,减少,使落魄)many people to beg in the street.15. His eyes were so tired that he had difficulty ___________(焦点,焦距;集中,聚集)on it.16. The inventor was rewarded by the government for his several __________(成就,实现)17. Thank you for making my visit so __________________(值得的). I shall treasure yourfriendship and kind hospitality you have given me.18. __________________(观察,评论,庆祝,遵守)that she was very pale, I asked him whatwas the matter with him.19. He has __________________(表现,行为,举止)well in school.20. The terms of the agreement __________________(尊敬,尊重)the boundary line between the two countries.21. The failure __________________(激发,鼓舞)him to great efforts.22. The United States should, he __________________(争论,争辩), attempt to remain aloof.23. He’s involved in the __________________(组织,机构)of a new club.24. We are __________________(运动,战役,竞选活动)against corruption in government.25. The local doctor couldn’t tell what was wrong, so he sent her to see a ______________(专家).26. They were __________________(支持,支撑,供养)by a local band at that time.27. __________________(疾病,恶心)often results from eating too much.28. I had __________________(打算,计划)to catch the early train, but I didn’t get up early.29. She _______________(提到,提及,查阅,参考)the subject several times during her speech.30. The police chief spoke of his __________________(决心)to catch the killers.31. With these incidents, Tang Ying consulted experts from various vocations for measures in_____________(紧急状况,突发事件).32. Each __________________(代,辈)has its own standards of judgment.33. Young girls must be __________________(谦虚的,适度的)in speech, dress and behavior.34. Her motherly __________________(仁慈,好意)attaches us all to her.35. The postman at last __________(投递,接生,发表演说)the letter we had been waiting for.36. Although she had never been interviewed on TV before, she ___________(表演,执行)well.37. Nowadays, electrical appliances have entered into _____________(平凡的,普通的)families.38. The candidate’s speech _________(使信服,说服)the voters that he was the man for the job.39. Given the chance, John might have become an __________________(杰出的,优秀的)painter.40. I am very __________________(满意的,满足的;内容,目录)with my life at present.41. The play was so ______________(幽默的,诙谐的)that the audience laughed all through it.42. He __________________(指导,导演;直接的)the building of the new bridge.43. So it was __________________(幸运的)that we didn’t have to carry him.44. We were all __________________(娱乐,招待,款待)by his humorous stories.45. I realized that there was no way of __________________(战胜,克服)it successfully.46. Would you love to go to a party and talk ______________(自信地,有信心地)to every guest?47. They depended on a __________________(特别的,挑剔的)historical situation.48. The prince’s wedding was quite an __________________(场合,时刻).49. The wind was __________________(低语,耳语)in the roof.50. What did he say in __________________(解释,说明)of his stupid behavior?51. The British would never _____________(回应,反应)militarily to the invasion of the islands.52. The government issued a ________(陈述,声明)urging the public to cooperate in this inquiry.53. The professor is easy to __________________(接近,靠近,解决;方法), and all the youngteachers like to ask for advice from him.54. Do you think the __________________(雇佣,使用)of force was justified?55. Your __________(好奇,好奇心)must be well satisfied if you have no more questions to ask.56. The union said they would take action to ___ __(防御,防守,辩护)their member’s jobs.57. The scientists are studying __________________(面部的)proportions.58. The __________________(大多数)of people seem to prefer TV to radio.59. When I reached the top of the mountain, a splendid view ___________(迎接,问候)my eyes.60. These beautiful green stones __________________(代表,象征)love and success.Part 2 重点短语1.过着……生活2.提到,查阅3.鄙视,轻视4.偶遇5.偶然,意外6.多亏,由于7.对……满意8.宁愿9.导致,造成,通向10.活跃起来11.使……免受12.贫穷的13.挑选14.切断,关闭15.担任主角16.可能做某事17.一般而言18.背对19.仿造20.接近,靠近Part 3 重点语法主谓一致:1.并列主语的主谓一致(1)两个单数名词由and连接(2)被every, each, many a, no等限定的单个主语由and连接时(3)由or, nor, neither…nor…, either… or…, not only…but (also)连接到并列主语,通常采用________一致原则,即谓语动词的单复数形式要与邻近的主语保持一致。
必修四复习
For example, one important thing she discovered 7______ (be) that chimps hunt and eat meat. Until was then everyone had thought chimps ate only fruit a and nuts. She actually observed chimps as 8___ group hunting a monkey and then eating 9____. it She also discovered how chimps communicate with each other, and her study of their body language helped 10_______ work out their social her system.
高中语文必修四复习资料
脑髓
譬如
孱头
渊源
蹩进
履行职责
玄虚
国粹
归根结蒂
咄咄逼人
罪孽
惶恐不安
节外生枝
垂暮之年 枯燥无味 苦恼
风和日丽 躁动不安 脆弱 囊括
消磨时光 稍纵即逝 推衍 完璧归赵 将相和
清晰 渑池之功 怒发冲冠 负荆请罪
价值连城 刎颈之交
盗跖、埋怨、尸骸、刽子手、喧闹、寒暄、 咀嚼、雪茄、枭雄、蟊贼、诡计、仆人、脚 镣、酹、参差、里弄、栩栩如生、给予、溘 然长逝、脑髓、慰藉、憔悴、癖好、渑池、 赦免、肉袒、前倨后恭、靡乱、糜烂、所向 披靡、驽马、贿赂、纺缴、啮雪、属文、蟾 蜍、逾矩、征辟、苦心孤诣、矫揉造作、面 面相觑、半身不遂、安步当车、审时度势、 萍水相逢
二、名句部分
1、寻寻觅觅,——、——。莫道不销魂,——、——。 2、此情无计可消除,——、——。 3、云中谁寄锦书来,——、——。 4、——、——。至今思项羽,不肯过江东。 5、天生我材必有用,————。抽刀断水水更流,举杯消愁愁更愁。———— 、————。 6、挟飞仙以遨游,————。 7、梧桐更兼细雨,到黄昏,点点滴滴。——,——。 8、————、————,人道寄奴曾住。 9、僵卧孤村不自哀,尚思为国戍轮台。————、————。 10、楚天千里清秋,————。 11、————,————,江南游子。——、——,无人会,登临意。 12、四十三、倩何人换取,——、——! 15、千古江山,——。舞榭歌台,——。 16、闻道有先后,——,如是而已。
26、“史学双璧”是指——和——。“乐府双璧”是指——和——。 27、——诗被誉为我国“古今第一长诗”。 ——诗被誉为我国第一篇政治抒情 诗。我国第一位爱国诗人是——,代表作是——。 28、“东海孝妇”的典故出自《——》。“望帝啼鹃”的典故说的是古代神话传 说中的蜀王——。 29、我国古代音乐有七声,分别为:——、——、——、——、——、——、— —。以宫声为主的调式称“——”,以其他各声为主的称“——”,合称 “——”。杂剧的每一折由同一宫调的若干曲牌联成一套曲子。 30、扮演元杂剧中“孤”扮演——,“孛老”扮演——,“净”扮演——人物。 31、“才子词人自是白衣卿相”“忍把浮名,换了浅斟低唱”这两句出自——的 词《——》。他因此词自称为——。“天下英雄谁敌手?曹刘。生子当如孙 仲谋。”出自——的词《——》。 32、——的词《——》中有“三秋桂子,十里荷花”描绘了杭州美景。 33、汉赋的代表作有班固的《——》,张衡的《——》,司马相如的《——》、 《——》 。“六艺”指的是————这 六种学问和技能。
高中政治必修四的复习知识点
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高中英语必修4牛津英语必修四 综合复习练习
牛津英语必修四综合复习练习I. 单项选择1. It may be fairly cheap to buy , but you’ve got to _______ the money you’ll spend on repairs.A. take charge ofB. take into considerationC. make notes ofD. complain about2. We had a lot of fun at her birthday party . You _____ have come , but why didn’t you ?A. mustB. shouldn’tC. needn’tD. ought to3. Entering the reading-room , I found Kate _____ at the table and ______a report .A. seated; wroteB. seated ; writingC. seating ; writingD. seated ; written4. The detective and the master will spend the afternoon _______ in the meeting room , ___ the whole matter .A. locking ; discussingB. locked ; discussedC. locked ; discussingD. locking ; discussed5. All the universities have duty to ______ their students _______ of the quick development of the scientific world .A. make ; knownB. have ; understoodC. keep; informedD. find ; involved6. Excuse me for breaking in , ______ I have some news for you .A. orB. andC. butD. yet7. Right now Alex is in the hospital . He ______ for a bad burn on his hand and arm .A. is treatingB. is being treatedC. has treatedD. has been treated8. --- You’ve made great progress in your studies of English , haven’t you ? --- Yes, but much ____.A. remains to doB. is remaining to doC. remains to be doneD. is remained to be done9. --- The opening ceremony has already started .--- Look ! The flag is ____ now .A. risenB. being raisedC. being roseD. raising10. ---I’m sorry , I shouldn’t have been so rude to you .--- You _______ your temper but that’s OK.A. have lostB. had lostC. did loseD. were losing11.We took _______ the car during the whole journey .A. turns to driveB. turn to drivingC. by turns to drivingD. turn at driving12. Sarah , hurry up . I’m afraid you won’t have time to _____ before the party .A. get changedB. get changeC. get changingD. get to change13. He ____ have completed his work ; otherwise , he wouldn’t be enjoying himself by the seaside .A. should B . must C. wouldn’t D. can’t14.Mr. Smith , ______ of the ______ speech , started to read a novel .A. tired ; boringB. tiring ; boredC. tired ; boredD. tiring ; boring15. He tried to pretend that he wasn’t worried , but his shaking hands _____ him ___ .A. gave ; awayB. gave ; outC. gave ; upD. gave ; off16. Be careful when you cross this very busy street . If not , you may _____run over by a car .A. haveB. getC. becomeD. turn17. It wasn’t long _______ the broken windows were repaired .A. beforeB. afterC. whenD. since18.These examples , once _____ to his article , will make it sound more reasonable and acceptable .A. addB. to addC. addingD. added19. --- Is it dangerous ?--- Yes , but I have to ____ the risk because that’s the only chance I can find the spy .A. makeB. takeC. holdD. catch20. The simple style of the building and the fact ______ they are German set them aside as very different from Chinese architecture .A. howB. whyC. whichD. that21. Do you know what use people ______ pines after they’re cut down ?A. make ofB. make intoC. make up ofD. make from22. She turned up at the court , ______ as a lawyer .A. dressingB. dressedC. being dressingD. dressed herself23. Don’t you think it’s time you _____ a choice?A. didB. tookC. madeD. kept24. Who ______ to meet us but the manager !A. is comingB. will comeC. should comeD. has come25. --- $ 500, but that is my last offer .--- OK, it is a ______.A. costB. priceC. reward D . deal26. --- Would you please do me a favor?--- I’m sorry , ______ I’m busy typing papers .A. orB. soC. butD. now27. _______ more about university courses , call (920) 746-3789.A. To find outB. Finding outC. Find outD. Having found out28. If you take away five of the apples , another five will _______.A. remainedB. remainsC. be remainedD. remain29. If you go on stealing , you’ll ______ in the prison .A. endB. end up withC. end withD. end up30. Several houses were destroyed to _______ a building .A. make away withB. make way forC. make forD. make outII. 完形填空Learning is natural. It begins the __1__ we are born. Our first teachers are our families. At home we learn to talk and to __2__ and feed ourselves. We learn all these and other skills by __3__.Then we go to school. A teacher tells us __4__ to learn and how. Many teachers teach us, and we pass many exams. Then people say we are __5__.Are we really educated? Let's think about the real meaning of __6__. Knowing facts does not __7__ being able to solve problems. Solving problems __8__ creativity, let alone a good memory. Some people who don't know many __9__ are good at solving problems.Henry Ford is a good __10__. He left school at 15 years of age. Later, when his company could not build cars fast enough, he solved the problem He __11__ of the assembly line (装配线). Today the answer seems __12__. Yet think of that many university graduates who never solved that problemWhat does a good teacher do? Does he give students facts to __13__? Well,yes, we must sometimes remember facts. But a good teacher __14__ how to find answers. He brings us to the __15__ of the knowledge so we can think for ourselves. When we are __16__, we know where to go.True learning combines intake with output. We take information __17__ our brains. Then we use it. Think of a __18__, it only __19__ commands. A person who only remembers facts hasn’t really learned. Learning takes __20__ only when a person can use what he knows.1. A. week B. minute C. hour D. day2. A. wear B. put on C. have on D. dress3. A. asking B. listening C. following D. drilling4. A. what B. when C. that D. who5. A. controlled B. educated C. suffered D. passed6. A. taking B. growing C. answering D. learning7. A suggest B. say C. mean D. show8. A. requires B. has C. brings D. gets9. A. people B. facts C. techniques D. ways10. A. learner B. teacher C. example D. driver11. A managed B. heard C. talked D. thought12. A. ordinary B. common C. simple D. special13. A. grasp B. understand C. master D. remember14. A. knows B. shows C. gives D. encourages15. A. plenty B. pile C. stream D. much16. A. thirsty B. hungry C. cold D. sleepy17. A. of B. for C. about D. into18. A. radio B. computer C. recorder D. machine19. A. obeys B. changes C. sends D. writes20. A. measures B. place C. notes D. timeIII.阅读理解ASmart job-seekers needs to rid themselves of several standard myths about interviewing before they start looking for a job. What follows is a list of some of these untruths and some tips to help you do your best at your next interview.Myth 1: The aim of interviewing is to obtain (means "get") a job offer Only haft true. The real aim of an interview is to obtain the job you want. That often means rejecting job offers you don't want! So before you do please an employer, be sure you want the job.Myth 2: Always please the interviewerNot true. Try to please yourself. Of course, don't be hostile (敌对的) —nobody wants to hire someone disagreeable. But there is plainly a middle ground between being too ingratiating (逢迎) and being hostile.Myth 3: Try to control the interviewNobody "controls" an interview. When someone tries to control us, we resent (怨恨) it. When we try to control others, they resent us. Remember you can't control what an employer thinks of you, just as he can't control what you think of him. So be ready to give and take when being interviewed; never control the interview.Myth 4: Never interrupt the interviewerStudy the style of an effective conversationalists: they interrupt and are interrupted! An exciting conversation always makes us feel free — free to interrupt, to disagree, to agree enthusiastically (热情地). Just hang loose. Try being yourself for a change. Employers will either like or dislike you,but at least you'll have made an impression, Leaving an employer indifferent (无关紧要) is the worst impression you can make.1. To be your natural self in a job interview will ________.A. make your interviewer angryB. please your interviewerC. leave an impression on the interviewerD. leave the interviewer indifferent to you2. For job seekers, efforts to control the interview are likely to _________.A. affect the interviewer's opinion of themB. lead to the offer of a jobC. enable them to express themselves fullyD. help to create a favourable image of themselves3. The most important thing to keep in mind when being interviewed for a job is to _________.A. try to obtain the jobB. reject the job firstC. qualify yourself for the jobD. see if it is a job you want4. The fight attitude to a job interviewer is to be __________.A. obedientB. hostileC. pleasingD. agreeable5. "Hang loose" in last paragraph means to ________.A. stay calm and relaxedB. become weak and passiveC. take chargeD. sit back comfortably6. These tips are meant for ___________.A. women interviewers and women intervieweesB. women interviewers and men intervieweesC. men interviewers and women intervieweesD. job seekers of either sex interviewed by either sexBTales From Animal HospitalDavid GramDavid Gram has become a familiar face to millions of fans of Animal Hospital. Here Dr Gram tells us the very best of his personal stories about the animals he has treated, including familiar patients such as the dogs Snowy and Duchess, the delightful cat Marigold Serendipity Diamond. He also takes the reader behind the scenes(在幕后)at Harmsworth Memorial Animal Hospital as he describes his day, from ordinary medical check-ups to surgery(外科手术).Tales From Animal Hospital will delight all fans of the program and anyone who has a lively interest in their pet, whether it be cat, dog or snake! £14.99Hardback 272pp Simon SchusterISBN 0751304417Lsaac Newton: The Last sorcererMichael WhiteFrom the author of Stephen Hawking: A Life in Science, comes this colorful description of the life of the world’s first modern scientist. Interestin g yet based on fact. Michael White’s learned yet readable new book offers a true picture of Newton completely different from what people commonly know about him. Newton is shown as a gifted scientist with very human weaknesses who stood at the point in history where magic(魔术)ended and science began. £18.99 Hardback 320pp Fourth EstateISBN 1857024168F ermat’s Last ThcoremSimon SinghIn 1963 a schoolboy called Andrew Wiles reading in his school library came across the world’s greatest mathematical problem(数学题): Fermat’s La st Theorem(定理).First put forward by the French mathematician Pierre de Fermatin the seventeenth century, the theorem had baffled and beaten the finest mathematical minds, including a French woman scientist who made a major advance in working out the problem, and who had to dress like a man in order to be able to study at the Ecole Polytechnique. Through unbelievable determination(决心)Andrew Wiles finally worked out the problem in 1995. An unusual story of human effort over three centuries, Fermat’s Last The orem will delight(使高兴)specialists and general readers alike.£12.99 Hardback 384pp Fourth EstateISBN 18570252107. What is Animal Hospital?A. A news storyB. A popular bookC. A research reportD. A TV program8. I n Michael White’s book, Newton is described asA. a person who did not look the same as in many picturesB. a person who lived a colorful and meaningful lifeC. a great but not perfect manD. an old-time magician9. The person who finally proved Fermat’s Last Theorem is .A. Simon SinghB. Andrew WilesC. Pierre de FermatD. a French woman scientist10. What is the purpose of writing these three texts?A. To make the books easier to read.B. To show the importance of scienceC. To introduce new authorsD. To sell the books.IV.对话填空:阅读下面对话,掌握其大意,并根据所给首字母的提示,在标有题号的右边横线上写出一个英语单词的完整、正确形式,使对话通顺。
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必修四期末复习练习一、基础语法练习◆语法填空题1.I regret (say) that I regret (do) such a silly thing.2.The bad weather meant_ (delay) the rocket for 48 hours.3.I didn’t know why he was smiling at me as if he (know) me.4.With the summer vacation (approach), the students are beginning to talk about their plants.5.Once (disturb), he was unable to get back to sleep again.6.The dining area has 10 fixed seats (equip) with safety belts.7.Sam is going to talk about the history of his country, but I’d rather he (focus) more on its culture.8.A fire broke out in the building around 7:30 on Tuesday morning, (result) in the death of a young girl.9. It is no use (complain) the bad weather.10. Despite the previous rounds of talks, no agreement (reach) so far by the two sides.◆单选题1. To learn English well, we should find opportunities to hear English as much as we can.A. speakB. speakingC. spokenD. to speak2. Jenny hopes that Mr. Smith will suggest a good way to have her written English in a short period.A. improvedB. improvingC. to improveD. improve3. When he awoke, he found himself by an old woman.A. looked afterB. being looked afterC. to look afterD. looking after4. --I heard someone you just now.--Really? But I didn’t hear my name at all.A. calling; callingB. calling; calledC. called; calledD. called; calling5. I won’t have you such things about my sister again and again.A. to sayB. sayC. saidD. saying6. The large building down the street will be a hospital.A. builtB. having builtC. being builtD. to build7.—I'm sorry, but I didn't mean________ out your secret.—But you know, letting out one's secret means________ one's feelings.A. to let; to hurtB. to let; hurtingC. letting; to hurtD. letting; hurting8. The lady scolded the boy caught and let him off.A. to have stolenB. to be stealingC. to stealD. stealing9.I don't think it is________ taking the trouble to explain the question to him.A. worthB. worthyC. worth ofD. worthwhile10. There was a terrible noise the sudden burst of light.A. followedB. followingC. to be followedD. being followed二、语法专题练习1.—Mike, what did our monitor say just now?—Every boy and every girl as well as teachers who________ to visit the museum________ asked to be at the school gate before 6:30 in the morning.A. is; isB. are; isC. is; areD. are; are2. It is I________ my parents who________ to blame for the accident.A. other than; areB. rather than; amC. more than; areD. than; is3. No freshman and no graduate________ to sit in on the forum.A. are allowedB. is allowedC. are agreedD. is agreed4. Professor Smith, along with his assistants, ________ on the project day and night to meet the deadline.A. workB. workingC. is workingD. are working5. About one third of the population in Beijing and Shanghai________ denizens, but in poorer areas, only three or four percent________ online.A. is; isB. are; areC. are; isD. is; are6. The theory he's stuck________ us that earthquake can be forecast.A. to provesB. to proveC. to provingD. to proved7. in the queue for half an hour, the old man suddenly realized he had left the cheque in the car.A. WaitingB. To waitC. Having waitedD. To have waited8. that he was in great danger, Eric walked deeper into the forest.A. Not realizedB. Not to realizeC. Not realizingD. Not to have realized9. When asked why he went there, he said he was sent there for a space flight.A. trainingB. being trainedC. to have trainedD. to be trained10. The flowers his friend gave him will die unless every day.A. wateredB. wateringC. waterD. to water11. all my homework, I went out to have a walk with my mother.A. FinishedB. Having finishedC. FinishingD. To finish12. , we’d better take her to hospital.A. Be illB. Being illC. Mother is illD. Mother being ill13. While around the city, we were deeply impressed by the city’s new look.A. takingB. being takenC. having takenD. have been taken14. an answer, she decided to write him another letter.A. Not receivingB. Not receivedC. Not having receivedD. Having not received15. Sunday, the students are at home.A. BeingB. To beC. It isD. It being16. With the bridge , the communication between the two cities will surely be strengthened.A. completedB. to be completedC. having completedD. completing17. and happy, Tony stood up and accepted the prize.A. SurprisingB. SurprisedC. Being surprisedD. To be surprising18. On each side of the street a lot of trees.A. standsB. standC. is standingD. are grown1.This is one of the most exciting theme parks that I (have) visited, and Lily is the only one of the cleverest students who (have) worked out the problem.2. A large amount of damage (be) done to the city in a very short time and large amounts of money(be) spent in rebuilding the city.3. Neither you nor I nor anybody else (know) anything about it.4. The farmer as well as his wife and children (be) very sad for their damaged crops.5. The peasant and scientist (have) produced a special strain of super hybrid rice.6. More than one person (have) seen the explosion.7. No one can escape (punish) by the law if he breaks the law.8. I want to tell my father that our computer needs (repair).9. The key to (solve) the problem is to meet the demand made by the customers.10. The discovery of the new evidence led to the thief (catch).11. The question (discuss) is abou t how to improve the workers’ working condition.12. In order to keep warm, we had the fire (burn) all night.13. The lost boy was last seen (play) near the bank of the river.14. When the day breaks, the soldiers found themselves (surround) by their enemies.15. The law requires that everyone (have) his car checked at least once a year.16. (stay) warm at night, I would fill the stove, then set my alarm clock for midnight so that I could refill it.17.The time and effort he has devoted during the past few years to (plant) trees in that remote area is considered to be of great value.18.The engine just won’t start. Something seems(go) wrong with it.19.With the police (direct) the traffic, we could get back home safely in such hazy weather.20. (expose) to sunlight for too much time will do harm to one’s skin.三、题型训练◆单句改错1.She treats the young girl as if she is her own daughter.2.With the days went by, things were getting worse and worse.3.You may find it astonished that Charlie was taught to sing as soon as he could speak.4.Tim had the lights burn all night along.5.I have never seen so a good teacher as her before.6.Weather permits, we will go out for an outing.7.Only by shouting he able to make himself heard.8. These eight planets, together with the sun, make up that is called our solar system.Have you heard of the word “hygge”? It’s a Danish word and a lifestyle of Danish people. There is n o English word 1._ ____the precise (精确的) meaning of “hygge”. It might2._ ____(translate) to coziness (舒适) in English, but it is more than that.Enjoying beautiful music or having a movie night 3._ ____ (be) hygge. Lighting candles or making real tea in china cups –that’s hygge too. There’s nothing more hygge than sitting around a table with your family or friends,4._ ____(discuss) the big and small things in life. Hygge focuses on5._ ____idea of making ordinary daily activities special, or meaningful.For Danish people, hygge is a way of fighting the cold winter, 6._ ____it doesn’t have to be a winter-only thing. In Denmark, there can be up to 17 hours of 7. _ ____(dark) per day in winter, and the average temperatures are around 0 C. As a result, people spend more time indoors and focus on entertaining 8. _ ____ (they) at home.Now the idea of hygge 9._ ____(expand) and becoming popular in some other countries too. In the United Kingdom and the United States, there are more and more hygge-themed cookbooks and lifestyle guides, as well as Danish restaurants, cafes and bars. The rest of the world seems to be slowly waking up to 10. _ ____Danes have been wise to for ages.◆短文改错Santa Claus is actually a real man called Saint Nicholas, that sounds very similar to Santa Claus. He was born about 2,000 years before, during the Roman Empire. He was a very kind priest (神父) who will travel the country to help people, giving gifts to people later at night. He did like to be seen giving gifts, so children were encouraged to go to sleep quickly. Nothing have changed today, with Santa Claus not visiting until all the childs are asleep. The US version of Santa Claus began when Dutch settlers arrived in there about 400 years ago. His name was original Sinter Klaas, but he was slowly changed to Santa Claus over the years.答案:一、基础语法练习◆语法填空题1.to stay, doing;2.delaying;3.had known;4.approaching;5.disturbed;6.equipped;7.focused;8.resulting;plaining; 10.has been reached;◆单选题1-10 CABBD CBDDB二、语法专题练习◆单选题1-10 BBBCB ACCDA 11-20 BDBCD BBB◆语法填空题1.have, has;2.was, were;3.knows;4.was;5.has;6.has;7.being punished;8.repairing;9. solving;10.being caught; 11.being discussed; 12.burning; 13.playing; 14.surrounded; 15.have; 16.To stay;17. planting; 18. to have gone; 19.directing; 20.Being exposed;三、题型训练◆单句改错1.is→was;2. went→going;3.astonished→astonishing;4.burn→burning;5. so→such;6. permit→permitting;7.he之前加was; 8. that→what;◆语法填空题1. with;2.be translated;3.is;4.discussing;5.the;6. although;7.darkness;8.themselves;9.is expanding;10.what;◆短文改错that→which, before→ago, will→would, later→late, did后加not, have→has, childs→children, there之前的in去掉, original→originally, he→it/ that;。