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 _____ impo ssible 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 com e 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。

A

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

havi ng 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 tha t 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.

B

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

C

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

D

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

E

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 Ear th’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 shoc ked 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

2021高考英语模拟试卷-最新(全)

高考英语模拟试卷-最新 第一部分：英语知识运用 第一节：单项填空（共15小题，每小题1分，满分15分）1.—Tony , do remember to sent the report to the sales manager! --____. A. make it B. got it C. heard it D. followed it 2. She is quite ____ to office work .You had better offer her some suggestions when necessary. A. familiar B. similar C. fresh D. sensitive 3. We'd better take umbrellas –I'm sure it ____ when we arrive in London ; it's always wet there at this time of year . A. will rain B. is raining C. will be raining D. would rain 4.—Fiona never fails to grasp any chance of promotion . --She is a woman of ____. A. ambition B. attention C. expectation D. reputation 5.____ terrible ,the medicine was thrown away by the child .

A. tasted B. tasting C. to taste D. being tasted 6.—Ken ,____ , but your radio is going too loud --Oh, I'm sorry . I 'll turn it down right now . A. I hate to say it B. it doesn't hurt to ask C. I'm really sited of it D. I 'm crazy about it 7.This book is said to be the special one ,which ____ many events tha t cannot be found in other history books . A. covers B. writes C. prints D. reads 8.—Next week I will go to a job interview . Will you give me some suggestions . --Smiling is a great way to make yourself ____. A. stand out B. turn out C. work out D. pick out 9.—What's wrong with you ? --Oh, I am sick . I ____ so much ice cream just now . A. shouldn't eat B. mustn't eat C. couldn't eat D. shouldn't have eaten 10.—Mum, is the pair of gloves ____ mine ? -- Yes, You have to wear another pair .

北京四中2019年高考英语基础知识摸底测试卷

北京四中2019年高考英语基础知识摸底测试卷 北京四中2019年度 （附参考答案） 试卷I(共75分) 第一部分：英语知识运用(共两节，满分40分) 第一节：单项填空(共20小题；每小题1分，满分20分) 从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂 黑。 1．—What do you want for lunch? —Oh， is OK with me． A．anything B．nothing C．something D．none third manned spaceship，was launched successfully on September 25，2 2．Shenzhou VII，country’s 008 in northwestern Gansu Province，China． A．a；不填B．the；the C．the；不填D．a；the 3．—Madam，your clothes are ready now． 一Thanks．And how much shall I for them? A．cost B．take C．spend D．pay 4．—How are you today? 一I’m f eeling much，but my doctor says I’ll s till have to stay in bed for another few days． A．best B．good C．better D．well 5．Being able to speak another language fluently is a great when you’re looking for a job．A．chance B．success C．effort D．advantage 6．Many people in the city complain that the price of housing is too fast． A．growing up B．going up C．turning up D．getting up 7．Fine day! Let’s go out for a walk．

2020最新高考英语全真模拟试卷和答案

高考虽然延迟，但是练习一定要跟上，加油！！ 一、听力（总分30分） 第一节（共5小题；每小题1.5分，满分7.5分） 请听下面5段对话，选出最佳选项。 1.What’s the probable relationship between the speakers? A Colleagues B Couple C Classmates 2.When did Jack leave home? A At 10:30 B At 11:00 C At 11:20 3.What impresses the man most according to the conversation? A The people B The scenery C The modern buildings 4.How does the man advise the woman to go to Beijing? A By train B By air C By bus 5.What will the weather be like tomorrow? A Sunny B Rainy C Cloudy 第二节（共15小题；每小题1.5分，满分22.5分） 请听下面5段对话或独白，选出最佳选项。 请听第6段材料，回答第6至7题。 6.Where will the two speakers meet? A At an agency B At a café C At a station 7.What does the man want the woman to do?

A Buy a sweater for him B Bring him a magazine C Explain the documents to him 请听第7段材料，回答第8至9题。 8.What do we know about the suite? A It has a kitchen and a sauna B It costs 200 dollars, including a room tax C It’s not available on March, 21st 9.How much is the man’s room including tax? A 80 dollars B 88 dollars C 90 dollars 请听第8段材料，回答第10至12题。 10.W hat did the girl like best about the zoo? A The dolphins B The giraffes C The elephants 11.W hat did the elephant do at the zoo? A He drew dirt on the girl. B He drew dirt on the visitors C He sprayed water on the children. 12.W hat’s the p robable relationship between the speakers? A Teacher and student B Zookeeper and visitor C Father and daughter 请听第9段材料，回答第13至16题。 13.H ow long did the woman study abroad?

2020届新高考英语模拟卷(山东卷) 第三卷

2020届新高考英语模拟导航卷（山东卷） 第三卷 1、Our new childcare location in Scheveningen! The center is surrounded by numerous international institutes and embassies and is conveniently located just 10 minutes from The Hague city center. You can easily pick up and drop off your child thanks to the many parking spaces close to the entrance. Our services Big Ben Kids provides day care, preschool care and after-school care. Our activity programme includes language lessons, violin lessons, guitar lessons and much more. Activities are held indoors, but can also be external, such as swimming in the river, and field trips to the woods. Children learn dancing, making music, and the native language ——Dutch! They learn through play. Our curriculum is carefully designed in such a way that the children don’t eve n notice how much they learn each day. For them，it’s all about playing and having fun! What does Big Ben Kids offer your family? ?Homelike environment A warm and stimulating(趣味盎然的）atmosphere that allows children to grow and develop safely. ? A truly international place Our staff members come from all over the world, just like the families we serve. We are therefore acutely aware that our centers should be much more than places that simply care for children. We always go the extra mile to help families and try to bring everyone together to form a friendly international community. ? Healthy meals At Big Ben Kids, we serve two warm, healthy, homemade meals each day. The snacks are nutritious as well, with lots of fruit and vegetables. Parents receive our menu every week in advance. 1. Where does the center probably lie? A. Germany. B. France. C. Holland. D. Sweden.

高考英语：完形填空2018年真题分析详解(北京四中教研室)

高考英语：完形填空2018年真题分析详解（北京四中教研室） 北京四中高三英语教研室整理 原句1 I jumped at the idea of taking the class because, after all, who doesn’t want to save a few dollars? 参考译文 我欣然接受了这个班的想法，毕竟，谁不想攒几块钱？ 句式分析 整体分析：本句为复合句，同时有插入成分。 1.I jumped at the idea of taking the class 为主句。 2.because, after all, who doesn’t want to save a few dollars为从句，做原因状语从句。同时，从句套有after all这个插入成分。

重点词汇 jumped跳过; 跳( jump的过去式和过去分词); 快速移动; 猛地一动jump at 急于接受;jump at the chance 抓住机会; after all毕竟; 究竟; 归根结底; 别忘了 原句2 And, even if I weren’t excited enough about free credits, news about our instructor was appealing enough to me. 参考译文 而且，即使我对免费学分不够兴奋，但关于我们老师的消息却很有吸引力。 句式分析 整体分析：本句为复合句，句中套有介宾短语。 1.news about our instructor was appealing enough to me. 为主句。about our instructor为定语；to me为状语。

北京四中高考数学总复习 对数与对数函数知识梳理教案

【考纲要求】 1.掌握对数的概念、常用对数、对数式与指数式互化，对数的运算性质、换底公式与自然对数； 2.掌握对数函数的概念、图象和性质. 3.正确使用对数的运算性质；底数a 对图象的影响及对数函数性质的作用. 4.通过对指数函数的概念、图象、性质的学习，培养观察、分析归纳的能力，进一步体会数形结合的思想方法； 【知识网络】 【考点梳理】 考点一、对数概念及其运算 我们在学习过程遇到2x =4的问题时，可凭经验得到x=2的解，而一旦出现2x =3时，我们就 无法用已学过的知识来解决，从而引入出一种新的运算——对数运算. (一)对数概念: 1.如果()01b a N a a =>≠，且，那么数 b 叫做以a 为底N 的对数， 记作:log a N=b.其中a 叫做对数的底数，N 叫做真数. 2.对数恒等式：log log a b N a a N a N N b ?=?=?=? 3.对数()log 0a N a >≠，且a 1具有下列性质： (1)0和负数没有对数，即0N >； (2)1的对数为0，即log 10a =； (3)底的对数等于1，即log 1a a =. (二)常用对数与自然对数 通常将以10为底的对数叫做常用对数，N N lg log 10简记作. 对数与对数函数 图象与性质 对数运算性 质 对数函数的图 像 与 对 数 的 概 念 指对互化 运 算

以e 为底的对数叫做自然对数， log ln e N N 简记作. (三)对数式与指数式的关系 由定义可知:对数就是指数变换而来的，因此对数式与指数式联系密切，且可以互相转化. 它们的关系可由下图表示. 由此可见a ，b ，N 三个字母在不同的式子中名称可能发生变化. (四)积、商、幂的对数 已知()log log 010a a M N a a M N >≠>，且，、 (1)()log log log a a a MN M N =+； 推广：()()12 1212log log log log 0a k a a a k k N N N N N N N N N =+++>、、、 (2)log log log a a a M M N N =-； (3)log log a a M M αα=. (五)换底公式 同底对数才能运算，底数不同时可考虑进行换底，在a>0， a ≠1， M>0的前提下有: (1) )(log log R n M M n a a n ∈= 令 log a M=b ， 则有a b =M ， (a b )n =M n ，即n b n M a =)(， 即n a M b n log =，即:n a a M M n log log =. (2) )1,0(log log log ≠>= c c a M M c c a ，令log a M=b ， 则有a b =M ， 则有 )1,0(log log ≠>=c c M a c b c 即M a b c c log log =?， 即a M b c c log log =， 即)1,0(log log log ≠>=c c a M M c c a

北京四中英语试卷

北京四中英语试卷 （试卷满分100分，考试时间100分钟） 第一部分 听力测试(共20小题，每小题0.5分，共10分) (略) 第二部分语言知识 一、单项填空(共30小题，每小题1分，共30分) 从A、B、C、D四个选项中，选出可以填入空白处的最佳答案。 21. Between the two roads _____ the high school building. A. stands B. standing C. which stands D. stand 22. It was______ a nearby hospital _____ Ann Peter’s husband rushed her last night. A. to, that B. in, that C. to, where D. in, where 23. The path in the park looked beautiful, _______ with _______ leaves. A. covered; falling B. covered; fallen C. covering; falling D. covering; fallen 24. I won’t go to the party even if_______. A. inviting B. having invited C. invited D. being invited 25. The_______ look on his face suggested that he had passed the exam. A. exciting B. tired C. tiring D. excited 26. As a student, I’m looking forward to holidays ____I am _____to do as I like. A. which; curious B. during which; free C. which; patient D. during which; reliable 27. ---You are not so strong as he. --- _________. However, he isn’t my ________ in intelligence. A. So I am; citizen B. So am I; comparison C. So I am; equal D. So am I; characteristic 28. ______ the fact ______ she deserted him, he still loved her heart and soul. A. Despite; that B. What if; what C. Even if; that D. Despite; what 29. Arms are ______ the body _____ branches are to the tree. A. of; what B. to; that C. on; that D. to; what 30. When our eyes move across an empty wall they will for a few moments _____ on a painting or other kind of work _______ there. A. switch; hanged B. fix; hanged C. rest; hanging D. act; hung 31. ---What’s up there? ---I’m designing a road sign. Can you tell me how I can make the words ___ well? A. call up B. get through C. use up D. stand out 32. ________ metals, for example, plastics has both advantages and disadvantages. A. In comparison with B. In the absence of C. In charge of D. In the case of 33. _____ winter ______ on, it’s time to buy warm clothes.

(完整)高三英语模拟试题及答案,推荐文档

高三英语模拟试题及答案 第一节 听下面5段对话。每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题，每段对话你将听一遍。 1.What does the man want to borrow? A.A pencil. B.An eraser. C.A pen. 2.What is the woman doing now? A.Eating. B.Going home. C.Having group study. 3.What does the man have for earthquake preparation? A.A candle. B.A radio. C.A flashlight. 4.Where does the conversation most probably take place? A.In a bank. B. In a hotel. C.In a store. 5.Where will the man go for his holiday?

A.Brazil. B.Denmark. C. Greece. 第二节 听下面4段对话或独白。每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。听每段对话或独白前，你将有5秒钟的时间阅读每小题。听完后，每小题将给出5秒钟的作答时间。每段对话或独白你将听两遍。 听第6段材料，回答第6至7题。 6.When does the supermarket close on Sundays? A.At 5:00 pm. B.At 7:00 pm. C. At 8:00 pm. 7.What have the two speakers decided to do now? A.Go shopping. B.Take a walk. C.Have dinner 听第7段材料，回答第8至9题。 8.Why does the man make the call? A.To make a booking. B.To make a suggestion. C.To make an appointment. 9.When will the man return from London? A.On March 10. B. On March 12. C. On March 22.

北京四中高考数学总复习 三角函数的图象和性质(基础)知识梳理教案

【考纲要求】 1、会用“五点法”画出正弦函数、余弦函数的简图；熟悉基本三角函数的图象、定义域、值域、奇偶性、单调性及其最值；理解周期函数和最小正周期的意义. 2、理解正弦函数、余弦函数在区间[0,2]π的性质（如单调性、最大和最小值、与x 轴交点等）,理解正切函数在区间(,)22 ππ -的单调性. 【知识网络】 【考点梳理】 考点一、“五点法”作图 在确定正弦函数sin y x =在[0,2]π上的图象形状时，最其关键作用的五个点是(0,0)， (,1)2π，(,0)π，3(,-1)2 π ，(2,0)π 考点二、三角函数的图象和性质 名称 sin y x = cos y x = tan y x = 定义域 x R ∈ x R ∈ {|,} 2 x x k k Z π π≠+ ∈ 值 域 [1,1]- [1,1]- (,)-∞+∞ 图象 奇偶 奇函数 偶函数 奇函数 应用 三角函数的图象与性质 正弦函数的图象与性质 余弦函数的 图象与性质 正切函数的 图象与性质

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）.

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/4312990325.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。

2020高考英语全真模拟试题及答案

第一节(共5小题;每小题1.5分,满分7.5分) 听下面段对话。每段对话后有一个小题,从题中所给的A 、B 、C 三个选项中选出最佳选项,并标在试卷的相应位置。听完每段对话后, 你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1.What will the woman do? A.Find a taxi. B.Call Jack's family. C.Stay with Jack. 2.What does the woman think of the restaurant? A.It ’s the worst one. B.It's the best one. C.It ’s just so-so. 3.What are the speakers talking about? A.Life attitudes. B.Making friend. C.Only children. 4.Where are the speakers? A.At a department store. B.At the airport. C.At a restaurant. 5.How does the woman usually go to work? A.On foot. B.By bus. C.By taxi. 第二节(共15小题;每小题1.5分,满分22.5分)

听下面5段对话或独白。每段对话或独白后有几个小题,从题中所给的A 、B 、C 三个选项中选出最佳选项,并标在试卷的相应位置,听每段对话或独白前,你将有时间阅读各个小题。每小题5秒钟;听完后,各小题给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料,回答第6、7题。 6.What is the woman doing? A.Watching TV. B.Playing computer games. C.Reading a book. 7.What is the man's attitude towards the woman's idea? A.He is opposed to it. B.He doesn't care about it. C.He is in favor or of it. 听第7段材料,回答第8、9题。 8.Where does the conversation probably take place? A.At school. B.At home. C.On a bus. 9.Which subject is the man unsure about in the examination?

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

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

北京四中高考英语动词短语(二)

融洽：I’m glad you get on so well with her. 我很高兴你和她相处得如此融洽。 ◇ She and her sister have never really got on. 她与妹妹一直合不来。 2) (with sth)= get along (with sth) 进步；进展：He’s getting on very well at school. 他在学校学得很好。How did you get on at the interview? 你面试的情况怎么样？ ◇ I’m not getting on very fast with this job. 我这项工作进展不太快。 3) (with sth)（尤指中断后）继续做某事：Be quiet and get on with your work. 安静下来，继续干你的事。 ◇ Let’s get on with the meeting. 我们继续开会吧。 get over sb/sth 从疾病（或不愉快的经历）中恢复过来：He was disappointed at not getting the job, but he’ll get over it. 他没得到这份工作非常失望，不过他会想得开的。◇He never really got over Jennifer when their relationship finished. 自从和珍妮弗分手后，他从未真正恢复过来。 ◇ It has taken me ages to get over the flu. 我得了感冒，很久才好起来。 get over sth to successfully deal with a problem or difficulty 解决（问题）；克服（困难）：She can’t get over her shyness. 她无法克服羞怯心理。 ◇ I think the problem can be got over without too much difficulty. 我认为这个问题不太难解决。 get sth ? over (to sb) (= get sth ? across) to make sth clear to sb 向（某人）讲清某事；让（某人）明白某事：He didn’t really get his meaning over to the audience. 他未能完全把他的意思向听众讲清楚。 get through sth to manage to do or complete sth 处理；完成：We’ve got a lot of work to get through. 我们有许多活儿要干。 get through sth; get sb through sth （帮某人）渡过（难关）；（帮某人）应对（困难）：I don’t know how we’re going to get through the winter. 我不知道我们如何挨过这个冬天。◇I don’t know how I got through the first couple of months after Andy’s death. 安迪去世后的那几个 月我都不知道是怎么熬过来的。◇It was their love that got me through those first difficult months. 是他们的爱帮助我熬过头几个月的困难时期。 get through (sth) 顺利通过（考试等）：Tom failed but his sister got through. 汤姆考试不及格，可她姐姐顺利通过了。 ◇The whole class got through the exam. 全班都通过了考试。 get through (to sb) （用电话）接通，打通，联系上：I tried calling you several times but I couldn’t get through. 我试着给你打了几次电话，但都没打通。 get (sth) through to sb 使（某人）明白；（把…）向（某人）讲清楚：I find it impossible to get through to her. 我发觉根 本无法让她听懂。 get together (with sb) 聚会；相聚：We must get together for a drink sometime. 我们什么时候得聚在一起喝一杯。 get up 站起；起来；起身：The class got up when the teacher came in. 老师进来时全班起立。 get up; get sb up （使）起床：What time do you usually get up? 你通常几点起床？ ◇ Could you get me up early tomorrow? 你明天早点叫我起床行吗？ give sb/sth ? away to make known sth that sb wants to keep secret 泄露；暴露：It was her eyes that gave her away (= showed how she really felt). 她的眼睛流露了她的真实情感。 ◇ She gave away state secrets to the enemy. 她把国家机密泄露给了敌人。 give sth ? away to give sth as a gift 赠送；捐赠：He gave away most of his money to charity. 他把大部分钱都捐赠给了慈善事业。◇I gave most of my books away when I left college. 我大学毕业时把大部分书都送掉了。 give in 1) to admit that you have been defeated in a game, 80

高考英语模拟试卷含答案

2012英语试题卷 英语试题卷共16页。满分150分。考试时间120分钟。 一、听力（共三节，满分30分） 做题时，先将答案划在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂或转填到答题卡上。 第一节（共5小题；每小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A. B. C三个选项中选出最佳选项，并标在试卷相应位置。听完每段对话后，你有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1. How many people are working for Mr. Smith? A. Three. B. Five. C. Eight. 2. Where are the two speakers? A. In a car. B. In a bar. C. In a shop. 3. What does the man suggest? A. The woman should teach in an evening class. B. The woman should leave the job. C. The woman should learn computers. 4. What do we learn about Kate? A. She likes to hold parties. B. She has a lot of friends. C. She wasn’t expecting so many friends at the party. 5. What will the woman probably do? A. Pick up the man at 1:00. B. Mail her two letters to the man. C. Meet her friends at the restaurant. 第二节（共12小题；每小题1.5分，满分18分） 请听下面4段对话。每段对话后有几个小题，从题中所给的A. B. C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间，每段对话读两遍。 请听第6段材料，回答第6至8题。 6. When did the boy do the experiment? A. Yesterday afternoon. B. This afternoon. C. This morning. 7. Where will the boy get the book? A. In the reading room. B. In the chemistry lab. C. In the classroom 8. Who did the experiments with the boy? A. The woman speaker. B. All his classmates. C. One of his classmate. 请听第7段材料，回答第9至11题。 9. Where are the two speakers probably? A. In a supermarket. B. In a park. C. In a school. 10. What do we know about the woman? A. She is a panda expert. B. She became interested in pandas at the first sight.