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北京四中高考英语综合模拟试卷(十)

北京四中

撰稿：李俊和编审：毕勤责编：隋瑜

高考英语综合模拟试卷

（时间：120分钟满分：150分）

班级：_____ 姓名：_____ 得分：_____

第一卷（三部分，共115分）

第一部分：听力（共两节，满分30分）

略

第二部分：英语知识运用（共两节，满分45分）

第一节单项填空（共15小题；每小题1分，满分15分）

从A、B、C、D四个选项中，选出可以填入空白处的正确答案，并在答题纸上将该项涂黑。

21. It’s a _____ difficult question, so it’s _____ impossible for me to ans wer it.

A. too；quite

B. so；fairly

C. rather；quite

D. very；rather

22. —Where _____?

—I got stuck in the heavy traffic, or I _____ here earlier.

A. did you go；had arrived

B. are you；was

C. were you；would come

D. have you been；would have been

23. Many places are flooded by heavy rainfalls, so they can’t walk _____ they like these days.

A. when

B. whenever

C. where

D. wherever

24. In character-training of children, what really _____ much is what their parents say and do.

A. matters

B. cares

C. considers

D. minds

25. Please tell me _____ you want your coffee, black or white?

A. what

B. which

C. whether

D. how

26. —I hear you have moved into a new house.

—Yes. _____, my new address.

A. Here we are

B. Here they are

C. Here you are

D. This is my new house

27. They expect the students to be responsible for the things they do, just as grow-ups _____.

A. will

B. do

C. can

D. are

28. —It is weeks since he _____.

—So it is. We’d better ask someone else to help us.

A. fell ill

B. was ill

C. is ill

D. has been ill

29. The cinema was full and a lot of people had to be _____.

A. turned in

B. turned against

C. turned over

D. turned away

30. —_____, young man! Let me see your ticket.

—Sorry. Here it is.

A. Not so fast

B. Don’t worry

C. Hello

D. Be quick

31. —Have the workers started to work on your new house?

—Yes, it _____ now.

A. is building

B. is being built

C. is to be built

D. has built

32. --How is your plan getting along?

--I can not carry on _____any longer. Someone must help me.

A almost

B simply

C alone

D lonely

33. Wouldn’t it be great if Alice _____ here!

A. is

B. isn’t

C. could be

D. had been

34. —China now is a member of WTO.

—It _____ years ago.

A. should be

B. should have been

C. can be

D. may have been

35. The sun is shining brightly and the day is _____ hot.

A. burn

B. to be burned

C. burning

D. burnt

第二节完形填空（共20小题；每小题1.5分，共30分）

阅读下面短文，掌握其大意，然后从各题所给的A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题纸上将该项涂黑。

Six-year-old Lena Fugatt liked to sit beside her grandfather while he drove his 3,000-pound tractor around the family farm. One afternoon Ray Fugatt, 58, took Lena with him when he went to 36 a pile of brush.

He 37gasoline on the pile and set fire to it. The brush 38into flames that engulfed(吞没) him instantly. Screaming, Fugatt fell to the ground and 39to put out the fire. Pushing himself to his 40, he struggled to where Lena was on the tractor, 30 feet away. “Go get Mema,” he whispered, using Lena’s name for her grandmother. Then he f ell down unconscious(失去知觉) onto the flat field.

The 41on Fugatt’s arms had come off, his chest was a 42of deep red blisters(泡), and his face was badly burnt. But Lena didn’t 43. Afraid to leave her grandfather while she

ran for 44, she realized her only 45was to drive the huge tractor to the house, which was a half mile away. Her grandfather had already 46her to driver it alone, but now the 3.5-foot-tall girl decided to do 47that.

She slid forward on the seat and used her toe to 48the red start button. The machine moved 49, and Lena struggled to drive it back to the house. When the people of emergency services arrived, there were huge 50tracks in the field, showing the girl’s 51around trees, bushes and ditches.

Ray Fugatt suffered second-and-third-degree burns 5240 percent of his body but has made almost complete 53. According to the doctor, he would not have been saved if Lena had not

54so quickly. Lena 55her cool, know what had to be done, and did it.

36. A. burn B. gather C. sweep D. plough

37. A. took B. fetched C. poured D. mixed

38. A. burst B. became C. looked D. came

39. A. jumped B. dropped C. rolled D. ran

40. A. hands B. feet C. body D. legs

41. A. cover B. burn C. blood D. skin

42. A. rest B. piece C. pair D. mass

43. A. fear B. afraid C. leave D. stop

44. A. help B. service C. touch D. safety

45. A. hope B. reason C. comfort D. action

46. A. allowed B. forbidden C. prevented D. persuaded

47. A. almost B. even C. just D. otherwise

48. A. press B. pull C. command D. catch

49. A. around B. again C. ahead D. across

50. A. S-shaped B. X-shaped C. direct D. s quare

51. A. walk B. journey C. match D. level

52. A. on B. over C. around D. from

53. A. efforts B. sense C. recovery D. use

54. A. driven B. acted C. called D. run

55. A. kept B. saw C. recognized D. pretended

第三部分：阅读理解（共20小题；每小题2分，满分40分）

阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题纸上将该项涂黑。

Editors of news papers have responsible jobs because they have to make sure that their news paper gets printed on time, sells well, and everything that goes into it, including photographs, is acceptable. S ome news papers focus(集中) on local or national affaires, some on international and economic matters while others are less serious and aim to entertain with more

human interest stories.

Sometimes particular stories “sell” news papers. In America and Europe, ordinary people seem to be fascinated by the lives of the remaining royal families, pop stars and film stars. These people really have two lives, a public life and a private life. Some reporters can be too interested in getting a good story and try to take photographs of famous people in their private li ves which can then get their news paper into trouble if they get printed.

There was a recent case when a reporter climbed a tree and took a photograph over a high wall of an Alganian Princess in a s wimming pool without her knowing. She didn’t mind being photographed on public occasions but she objected to being photographed while she was spending private time with her personal friends—and especially in a s wimming pool.

The photograph was in the news paper the next day—“The Alganian Princess having a good time in the embassy pool with her friends”—and all hell broke loose. The editor of The BEACON (the news paper that had printed the photograph) immediately received a strongly worded letter of complaint from the Royal Palace press office saying that the reporter had been “interfering(干涉) in her private life” and that “something would be done about this”. Of course the damage had already been done but the news paper must have sold a lot of extra copies because of the photograph. All the editor could do was to print an apology on the front page to the Princess and hope that it would be accepted and that he wouldn’t lose his job.

56. Ordinary people in America and Europe seem to be most interested in _____.

A. photos of famous people

B. private lives of famous people

C. important happenings in the world

D. less serious newspapers

57. What was the purpose of the re porter to photograph the Princess?

A. To win himself fame.

B. To increase the sales of his news paper.

C. To satisfy the public interest.

D. To make fun of the Princess.

58. What happened after the Princess’ photograph was printed in the new s paper?

A. The editor lost his job.

B. The news paper office was closed.

C. The reporter was dismissed.

D. The news paper got into trouble.

Public goods are those commodities(商品) from whose enjoyment nobody can be effectively excluded(排除). Everybody is free to enjoy the benefits(利益) of these commodities, and one person’s use does not reduce the possibilities of anybody else’s enjoying the same good.

E xamples of public goods are not as few as one might expect. A flood control dam is public

goods. Once the dam is built, all persons living in the area will benefit. The same holds true for highway signs or aids to navigation(航行). Once a lighthouse is built, no ship from any country can be effectively excluded from the use of the lighthouse for navigational purposes. National defense is another example. Even a person who voted against military expenditures(军费) or did not pay any taxes will benefit from the protection afforded.

It is no easy talk to determine the social costs and social benefits related with public goods. There is no effective way of charging drivers for looking at highway sighs, sailors for watching lighthouse, and citizens for the safety provided to them through national defense.

59. What do you think is the best topic of this passage?

A. E ffective work for safer navigation.

B. The use of the marketplace.

C. A s pecial group of commodities.

D. The benefits of reducing taxes.

60. Which of the following would NOT be an example of public goods as described in t he passage?

A. A taxi

B. A bridge

C. A fire truck

D. A stoplight

61. The underlined word “holds” can best be replaced by which of the following?

A. has

B. is

C. catches

D. carries

One ans wer to the question of land shortage was suggested by an organization some years ago. A city was to be built at sea, housing 30,000 people.

The suggestion was to shape the city like a harbor(港口). The outer wall of the harbor would stand on steel columns resting on the seabed. Naturally this could only be where the water was fairly shallow. The people would like to live in flats in the fifty-meter high outer wall. The flats would all face inwards, and would be made of concrete(混凝土) and glass. The glass would be specially made and colored to contr ol the heat and strong light from the sun. The planners called this water the lake. The water inside this man-made harbor would be calm. On it would be floating islands carrying more buildings: a hos pital, two theaters, a museum, an art exhibition hall and church. On one of the islands would be a s pecial factory to take the salt out of sea water and turn it into fresh water.

People living in the city could move around on s mall boats driven by electricity, so there would be no air pollution from the burning of gas. There would be platforms outside the main wall for ships bringing supplies. People could also travel to the mainland by motorboat or water plane.

62. What was suggested about the construction of a new city at sea?

A. The city was to be designed together with a harbor.

B. The walls around the city would be made of steel and glass.

C. The buildings of the city would rest on a floating island.

D. The people would live in tall buildings surrounded by a wall.

63. How would fresh water be supplied to the city?

A. By treating sea water.

B. By getting it from the surrounding islands.

C. By building a small lake of fresh water inside the city.

D. By trans porting it from the mainland.

64. The suggestion made by the organization is to solve the problem that _____.

A. there is not enough s pace for building cities on land

B. land trans portation has become increasingly difficult

C. there are too many people on land

D. present cities are heavily polluted by cars

65. The purpose of the writer is _____.

A. to suggest how new type of harbor could be built at sea

B. to give a description of a new-type city

C. to draw people’s attention to the problem of air pollution

D. to introduce a new way of building harbor-cities

When a customer finds that what he or she bought is faulty or in some other way does not live up to what the producer promises, the first step is to give the warranty(单据), or any other record which might help, to the store where he or she bought the thing. In most cases, this action will produce results. However, if it does not, there are various methods the customer may use to show their dissatisfaction.

A simple and common method used by many customers is to complain(投诉) directly to the store manager. In general, the “higher up” the customer takes his or her complaint, the faster he or she can expect it to be settled. In such a case, it is usually settled in customer’s favor, thinking what he or she complains is just.

Customers should complain in person whenever possible, but if they cannot get to the store, it is acceptable to phone or write the complaint in a letter.

Complaining is usually most effective when it is done politely but firmly, and especially when the customer can show what is wrong with the thing he or she bought in question. If this cannot be done, the customer will succeed best by giving clear information as to what is wrong, rather than by general statement(陈述). For example, “The left s peaker does not work at all and the sound coming out of the right one is unclear.” is better than “This stereo(立体声音响) does not work.”

The store manager may advise the customer to write to the producer. If so, the customer should do this, expressing the complaint as politely and firmly as possible. If a polite complaint does not achieve the desired result, the customer can go a step farther. He or s he can threaten(声

言) to take the seller to court or report the seller to a private or public organization in charge of protecting customers’ rights.

66. When a customer finds that what he or she bought has a fault in it, the first thing he or she should do is to _____.

A. complain personally to the manager

B. threaten to take the matter to court

C. write a firm latter of complaint to the store

D. offer some written proof(证据) of what he or she bought to the store

67. If a customer wants a quick settlement of his or her problem, it’s better to complain to _____.

A. the store manager

B. a shop assistant

C. the producer

D. a public organization

68. The most effective complaint can be made by _____.

A. showing the faulty thing to the producer

B. explaining exactly what is wrong with the thing

C. saying firmly that the thing is of poor quality

D. asking politely to change the thing

69. The underlined phrase “live up to” in the first paragraph means _____.

A. meet the standard of

B. realize the purpose of

C. complete the demands of

D. keep the promise of

70. The passage tells us _____.

A. how to settle a customer’s complaint about a faulty thing

B. how to make an effective complaint about a faulty thing

C. how to prevent buying a faulty thing

D. how to deal with complaints from customers

Information from the pioneer spacecraft of the National Aeronautics and S pace Administration (NASA) obviously proves the theory that the burning 900-degree Fahrenheit surface temperature of Venus is due to an atmospheric(大气的) greenhouse effect caused mainly by a blanket of carbon dioxide(二氧化碳). Such a greenhouse effect is created when energy in the form of sunlight easily passes through a planet’s atm os phere, warms its surface, and becomes heat radiation(辐射) that is then held in by the atmos phere. The orbiting spacecraft has collected Venus’ atmos phere from top to bottom so that NASA’s scientists are able to prove the exact amount of sunlight received at various places in the planet’s atmosphere and on its surface. Measurements of atmos phere, temperature, and radioactive heating foresee Venus’ surface temperature very exactly. The planet is closer to the Sun than is Earth, and it has a thin

atmos phere l ike Earth’s, but Venus’ atmosphere is made up of more than ninety percent carbon dioxide, compared to less than four percent in that of Earth. Because of its higher percentage of carbon dioxide, Venus’ atmos phere receives much more heat radiation than the Earth does. Thus, the Venus studies are believed to be important to the understanding of possible bad effects on Earth’s agriculture and sea levels that could result from the long-term use of fuels, which add carbon dioxide to the atmosphere.

71. Which of the following would be the most suitable title for the passage?

A. A New Theory.

B. Measuring Planetary Temperatures.

C. The Journey of Pioneer S pacecraft.

D. The Greenhouse Effect on Venus.

72. According to the passage, what happens to heat radiation on Venus?

A. It disappears at the planet’s surface.

B. It is received by the atmosphere.

C. It creates energy.

D. It is changed into other kinds of energy.

73. According to the passage, how does the atmos phere of Venus differ from that of Earth?

A. It contains much more carbon dioxide.

B. It holds much less water.

C. It is four percent thinner.

D. It receives less heat radiation.

74. From the passage it can be considered that the burning of fuels on Earth may cause

_____.

A. more carbon dioxide to enter sea water

B. more sunlight to reach the Earth’s surface

C. the atmos phere to become thinner

D. the planet’s temperature to change

75. According to the passage, information from the Venus study can be used to _____.

A. foresee changes in the planet’s orbit

B. foresee future agricultural problems on Earth

C. test the efficiency(效率) of a s pacecraft

D. test a theory about more efficient greenhouse

第二卷（共35分）

第四部分：书面表达（满分35分）

第一小题：情景作文（满分20分）

阅读下面摘自《中国日报》的一则简讯，写一篇读后感。

River Pollution

A great deal of dead fish can be found floating on the surface of the Huaihe River because of the serious pollution this summer. In a report, Anhui Daily called on people to help protect the river against pollution.

要求全文包括以下内容：

1. 此类河水污染情况，除淮河外，不少别的地区也存在这种情况。

2. 除河水污染外，其它的污染如大气污染、土壤污染等给人类带来的灾难。

3. 越来越多的人已开始认识到污染的严重性，政府已采取措施治理污染。

4. 你自己的观点。

注意：词数100个左右。

第二小题：开放作文（满分15分）

根据下面提供的情景，写一段接续文字。

注意：词数不少于30个。

It is cold. The river is covered with ice. You are riding past a bridge and see many people gathering around. You know something has happened, so you ask an old man standing by.

The following is what the old man tells you:

高考英语综合模拟试卷答案与解析

21—25 CDDAD 26—30 CDADA 31—35 BBCBC 36—40 ACACB

41—45 DDAAA 46—50 BCACA 51—55 BBCBA 56—60 BBDCA

61—65 BCAAB 66—70 DABAB 71—75 DBADB

情景作文：

One Possible Version:

I’m shocked to have learnt about the serious situation of pollution in the Huaihe River. As far as I know, river pollution exists not only in the Huaihe River but also in many other rivers in our country. Besides river pollution, there are also air pollution, soil pollution and noise pollution. They have done great harm to human lives. Fortunately more and more people have come to realize how serious the problem is. Our government has begun to take measures to fight against pollution but there is still a long way to go. We should take care of our earth. We should try our best to win the battle against pollution.

开放作文：

One Possible Version:

A little boy of about 11 was playing on the ice and suddenly the ice broke. The boy fell into the river. As soon as the two classmates of his saw this, they jumped into the icy river to his

rescue. B ut they were too young to do this. Besides, they didn’t know how to s wim. At this moment nine university students came. They tried to save the three boys. The ice under their feet gave away and they all fell into the river. They struggled hard and finally they brought the boys to safety. What good students!

解析：

21. too和so修饰名词时，冠词要放在形容词之后；quite可以表示“完全”。

22. would have done是与过去事实相反的虚拟语气。

23. wherever引导地点状语从句。

24. matter表示“有关系”。

25. 本句的意思是问对方希望在咖啡里加什么。

26. Here you are的意思是“给你”。

27. are用在just as中表示与上文的to be并列。

28. It is…since…从句用瞬间动词的过去式。

29. turn away表示“拒绝”。

30. Not so fast的意思是“不要走那么快”。

31. 现在进行时的被动语态表示“正在被……”。

32. simply 除了表示简单,仅仅等意思外,还表示:简直,完全,实在,(强调所说的话)

这句的意思是:我实在是坚持不下去了。

33. 与现在事实相反的虚拟语气。

34. should have done表示“本该……”。

35. burning hot是固定短语，表示“火热”。

36. 祖父去烧东西，后来被烧伤。

37. 倾倒汽油，然后点火。

38. burst into flames表示“突然迸发出火苗”。

39. roll表示“翻滚”。

40. to one’s feet表示“站起身来”。

41. 手臂上的皮肤脱落了。

42. a mass of表示“一大片”。

45. 她唯一的希望就是把拖拉机开回去。

46. 祖父不许她自己开拖拉机。

48. press the start button表示“按开始按钮”。

49. 拖拉机向前开动起来。

50. S-shaped tracks形容小女孩开拖拉机并不熟练。

52. 介词over表示“超过”。

53. recovery表示“康复”。

54. 如果小女孩没有马上行动，后果不堪设想。

55. keep one’s cool表示“保持冷静”。

56. 第二段第二句话表示人们都对名人的私生活感兴趣。

58. 第二段最后一句话表明了可能出现的后果。

60. 乘坐出租车要交钱，因此不属于公共商品。

61. hold相当于一个系动词，后面加上形容词。

62. 第二段倒数第二句话表明这一意思。

64. 文章第一句话说明这一想法是为了解决陆地空间不足。

66. 文章第一句话说明第一步要向商店提供所购买商品的单据。

67. 第二段第一句话表示顾客要向商店的经理投诉。

68. 第四段第一句话表示顾客要说明所购买商品的具体问题。

70. 文章的大意是如何对所购买商品的问题进行投诉。

72. 文章中的…the n hold in by the atmos phere表示这一意思。

73. 文章中的compared to less than four percent in that of Earth表示这一意思。

75. 文章最后一句话说明对金星的研究可以帮助解决地球上的农业问题。

2019年春季高考英语模拟试题及答案

第I卷（选择题，共50分）注意事项： 1.答第I卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上 2.每小题选出答案后，用铅笔把小答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案，不能答在试题卷上。一、英语知识运用（本题共30个小题，每小题1分，共30分。在每小题列出的四个选项中，只有一项符合题目要求，请将符合题目要求的选项选出） 1.–Excuse me.Is the department store far from your school? –Not very.It’s about_______. A.10minutes walk B.10minutes’walk C.10minutes’s walk D.10minute’s walk 2.–May I use_______mobile phone? –Sorry,_______is left in the office. A.you;I B.your;my C.yours;mine D.your;mine 3.My father was born_______.When he was_______,he went abroad. A.in1970;in his thirty B.in the1970s;in his thirties C.in the1970;in his thirty D.in1970s;in his thirties 4.–I think students can have cell phones to help with their studying. –_______.They often use them to play games instead of studying. A.I’m afraid so B.All right C.You are right D.I don’t think so 5.–Why do you like using? –Because it can help me keep_______touch with my friends. A.on B.for C.at D.in 6.You must_______at the airport an hour before your plane takes off. A.check up B.check in C.check out D.check 7.–I can’t walk any further. –_______.Let’s stop here for a rest. A.Neither can I B.So can I C.Neither I can D.So I can 8.______she is,the higher marks she will get. A.The more careful B.The more carefully C.The much careful D.The careful 9.–You are not a new member,are you? –_______.I joined only yesterday. A.No,I’m not. B.Yes,I’m not. C.No,I am. D.Yes,I am. 10.This is the only dictionary______I brought back from abroad. A.which B.that C.whose D.what 11._______of the students in our class______girls. A.Two third,are B.Two thirds,is C.Two third,is D.Two thirds,are 12.–Could you take care of our dog while we are away? –_______. A.With pleasure B.It’s my pleasure C.Never mind D.That’s all right 13.–What about having a drink? –________ A.Good idea. B.I don’t want to. C.Help yourself. D.Me,too. 14.–Do you get someone_______your clothes? –Yes,I often have them_______. A.wash,washed B.washed,wash C.washing,wash D.to wash,washed 15.–I’m going to a job interview.I feel a little________. –Take it easy.Listening to music can help you relax. https://www.wendangku.net/doc/7f6605559.html,fortable B.satisfied C.nervous D.disappointed 16.We should turn off the lights when we leave the room_______we can save electricity. A.in order to B.so as to C.such that D.so that 17._______lovely weather it is!Shall we go for a walk? A.What B.What a C.How D.How a 18.Twenty minutes______not enough for you to finish it. A.were B.is C.are D.has 共8页第1页共8页第2页

2021高考英语模拟试卷-最新(全)

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要点诠释： ①三角函数性质包括定义域、值域、奇偶性、单调性、周期性、最大值和最小值、对称性等，要结合图象记忆性质，反过来，再利用性质巩固图象．三角函数的性质的讨论仍要遵循定义域优先的原则，研究函数的奇偶性、单调性及周期性都要考虑函数的定义域． ②研究三角函数的图象和性质，应重视从数和形两个角度认识，注意用数形结合的思想方法去分析问题、解决问题. 考点三、周期一般地，对于函数()f x ，如果存在一个不为0的常数T ,使得当x 取定义域内的每一个值时，都有(+)=()f x T f x ，那么函数()f x 就叫做周期函数，非零常数T 叫做这个函数的周期，把所有周期中存在的最小正数，叫做最小正周期（函数的周期一般指最小正周期）.

2019届高三英语模拟二试题参考答案

石家庄市2019 届高中毕业班模拟考试（二）英语参考答案听力（20×1.5=30）：1—5 ACBBC 6—10 AABCC 11—15 CBAAB 16—20 CABBC 阅读理解（15×2=30）：21—23 ABC 24—27 AADB 28—31 CADD 32—35 BBCC 七选五阅读填空（5×2=10）：36—40 DGEBA 完形填空（20×1.5=30）：41—45 BCDAC 46—50 ADBAC 51—55 DBACD 56—60 BDACB 语法填空（10×1.5=15）：61. called 62. for 63. greatly 64. their 65. who 66. a 67. injury 68. was thought 69. studies 70. deeper 短文改错（10×1=10）： I went to buy some traditional Chinese medicine on last Sunday. Just before leaving the drugstore, I noticed that some foreigners seems to have difficulty communicate with the assistant. I seemed communicating went over to ask if I ∧ needed. The assistant told me that she couldn't make herself understand was understood about how to boil the mixture correctly. Learning that I could give them the hand, they were a relieved. Without some trouble, I translated that the assistant wanted to say. Both sides expressed any what thanks to me. I was delighted to help other. More importantly, as a Chinese, I felt proudly to see others proud foreigners try traditional Chinese medicine. 书面表达(满分25分)：参考范文： Dear Peter, Warm greetings from China! How is everything going? Knowing that you are going to learn Chinese in your university, I feel pretty happy for you. In order to improve your Chinese, “Journey to the West” is a good choice. Regarded as one of the four classics in Chinese literature, the book possesses great wisdom and essence of the Chinese language, which makes it worthwhile to read. Furthermore, the book tells an interesting story in which a famous monk in Tang Dynasty went west with his three students who had super power. It attracts several generations, old and young. Enjoy reading! And you can share your reading reflections with me if you like. Looking forward to your reply! (117 words) Yours, Li Hua

2018全国高考英语II卷：短文改错详解(北京四中详解版)

2018全国高考英语II卷：短文改错详解（北京四中详解版）北京四中高三英语教研室整理真题呈现短文改错（共10小题；每小题1分，满分10分）假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。文中共有10处语言错误,每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。增加：在缺词处加一个漏字符号(Λ)，并在其下面写出该加的词。删除：把多余的词用斜线()划掉。修改：在错的词下划一横线，并在该词下面写出修改后的词。注意：1.每处错误及其修改均仅限一词；2.只允许修改10处，多者（从第11处起）不计分。

When I was little， Friday’s night was our family game night. After supper， we would play card games of all sort in the sitting room. As the kid， I loved to watch cartoons，but no matter how many times I asked to watching them， my parents would not to let me. They would say to us that playing card games would help my brain. Still I unwilling to play the games for them sometimes. I didn't realize how right my parents are until I entered high school. The games my parents taught me where I was a child turned out to be very useful later in my life. 2018高考英语全国二卷短文改错题，难题不多，但你能拿满分吗正确答案： 1.Friday’s 改为Friday； 2.sort改为sorts； 3.the改为a； 4.watching改为watch； 5.not to 去掉to； https://www.wendangku.net/doc/7f6605559.html,改为me； 7. I unwilling中间加was； 8.for改with； 9.are改为were； 10.where 改为when. 答案解析 1. Friday night星期五的晚上。这是一种名词修饰名词的用法。

北京四中数学高考总复习：数列的应用之知识讲解、经典例题及答案

北京四中数学高考总复习：数列的应用之知识讲解、经典例题及答案知识网络：目标认知考试大纲要求： 1.等差数列、等比数列公式、性质的综合及实际应用； 2.掌握常见的求数列通项的一般方法； 3.能综合应用等差、等比数列的公式和性质，并能解决简单的实际问题. 4.用数列知识分析解决带有实际意义的或生活、工作中遇到的数学问题. 重点： 1.掌握常见的求数列通项的一般方法； 3.用数列知识解决带有实际意义的或生活、工作中遇到的数学问题难点：

用数列知识解决带有实际意义的或生活、工作中遇到的数学问题. 知识要点梳理知识点一：通项与前n项和的关系任意数列的前n项和；注意：由前n项和求数列通项时，要分三步进行：（1）求，（2）求出当n≥2时的，（3）如果令n≥2时得出的中的n=1时有成立，则最后的通项公式可以统一写成一个形式，否则就只能写成分段的形式. 知识点二：常见的由递推关系求数列通项的方法1.迭加累加法：，则，，…， 2.迭乘累乘法：

，则，，…，知识点三：数列应用问题 1.数列应用问题的教学已成为中学数学教学与研究的一个重要内容,解答数学应用问题的核心是建立数学模型,有关平均增长率、利率（复利）以及等值增减等实际问题，需利用数列知识建立数学模型. 2.建立数学模型的一般方法步骤. ①认真审题，准确理解题意，达到如下要求： ⑴明确问题属于哪类应用问题； ⑵弄清题目中的主要已知事项； ⑶明确所求的结论是什么. ②抓住数量关系，联想数学知识和数学方法，恰当引入参数变量或适当建立坐标系，将文字语言翻译成数学语言，将数量关系用数学式子表达. ③将实际问题抽象为数学问题，将已知与所求联系起来，据题意列出满足题意的数学关系式（如