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數學20分鐘專題突破09

解三角形

一.選擇題

1.△ABC的內角A、B、C所對的邊分別為a、b、c，若sinA=，b=sinB，則a等于（）
A. B. C. D.

2.在△ABC中,A=，b=1，面積為，則=（）

A． B． C．2 D．4

3.在△ABC中，tanA＝，cosB＝．若最長邊為1，則最短邊的長為（）

A． B． C． D．

4．在△ABC中，角A，B，C的對邊為a,b,c，若，，，則角A=（）

A．30° B．30°或105° C．60° D．60°或120°

二.填空題

1.已知為的三個內角的對邊，

向量，．若，且，則角．

2.在中，角所對的邊分別為，則．

三.解答題

（2008年高考全國二17）．在中，，．

（Ⅰ）求的值；

（Ⅱ）設的面積，求的長．

答案：

一.選擇題

1.〖解析〗由得．

〖答案〗D．

2. 〖解析〗在△ABC中，，；又，

．

〖答案〗C．

3. 〖解析〗由條件知A、B都是小于，所以角C最大，又，B最小，

由得，，所以最短邊長為．

4. 〖解析〗，即，又，所以或．

〖答案〗D．

二.填空題

1. 〖解析〗，

由正弦定理得：，

．

〖答案〗．

2. 〖解析〗由及正弦定理得：，又，

兩式平方相加得：．

〖答案〗13．

三.解答題

〖解析〗（Ⅰ）由，得，由，得．

所以．

（Ⅱ）由得，

由（Ⅰ）知，故，

又，故，．

所以．

試題詳情

數學20分鐘專題突破08

三角恒等變換

一.選擇題

1．若，則的值為（　　）

Ａ．Ｂ．Ｃ．Ｄ．

2.=（）

A. B. C. 2 D.

3.函數是（）

A．周期為的奇函數 B．周期為的偶函數

C．周期為的奇函數 D．周期為的偶函數

4．求值（）A． B． C． D．

二.填空題

1．求值：_____________。

2．若則。

3．函數的最小正周期是___________。

4．的三個內角為、、，當為時，取得最大值，且這個最大值為。

三.解答題

6.已知函數 6ec8aac122bd4f6e ．

（Ⅰ）若，，求的值；

（Ⅱ）求函數在上最大值和最小值．

答案：

一.選擇題：

1.〖解析〗由,

∴sinα+cosα=．

2. 〖解析〗．

〖答案〗C．

3. ．選C ，為奇函數，

4.C

二.填空題

1.

2．

3．，

4．

當，即時，得

三.解答題

〖解析〗（Ⅰ）

由題意知：，即．

∵，即，

∴，．

（Ⅱ）∵ ，即，

∴，．

試題詳情

數學20分鐘專題突破07

平面向量

一.選擇題

1.在平行四邊形ABCD中，AC為一條對角線，若，,則（）

A．（－2，－4） B．（－3，－5） C．（3，5） D．（2，4）

2.已知向量，若與垂直，則（Ｃ）

A． B． C． D．4

3.已知是平面上的三個點,直線上有一點,滿足,則等于( )

A. B. C. D.

4.已知，是平面內兩個互相垂直的單位向量，若向量滿足，則的最大值是( )

A. 1 B. 2 C. D.

二.填空題

1.如圖，在平行四邊形中，，

則．

6ec8aac122bd4f6e 2.如圖，在中，，是邊上一點，，則　　　　　．

三.解答題

已知ΔABC三個頂點的直角坐標分別為A(3，4)、B(0，0)、C(，0)．

(1)若，求的值；

(2)若，求sin∠A的值

答案：

一.選擇題

1.〖解析〗因為，選B．

〖答案〗B．

2. 〖解析〗∵2－與垂直. ∴(2－)?=0, 而2－= (3 , n) , ∴－3+n²=0 , 而||²== 4 即 ||=2 . 兩個非零向量⊥?=0x₁x₂+y₁y₂=0 , ||²=² = x² +y²．

〖答案〗C．

3. 〖解析〗依題∴

〖答案〗A．

4. 〖解析〗

∴，則的最大值是；

∴，對應的點A,B在圓上,對應的點C在圓上即可.

〖答案〗C．

二.填空題

1.〖解析〗令，，則

所以.

〖答案〗3．

2. 〖解析〗在中，有余弦定理得，，

由正弦定理得，則，在中，由余弦定理求得，則，

由余弦定理得，

_．

〖答案〗．

三.解答題

〖解析〗 (1) ，，

由得．

(2) ，，，

．

試題詳情

數學20分鐘專題突破06

三角函數

一.選擇題

1.函數y＝sin(x＋)(0≤x≤)是R上的偶函數，則＝( )　

(A) 0 (B) (C) (D)

2.已知如圖是函數y＝2sin(ωx＋)的圖象(其中｜｜＜)，那么

6ec8aac122bd4f6e Aω＝，＝； Bω＝，＝－；

Cω＝2，＝； Dω＝2，＝－．

3.點P從（1，0）出發，沿單位圓逆時針方向運動弧長到達Q點，則Q點的坐標為（）

（A）（B）（C）（D）

4.下列與的值相等的式子為

A. B. C. D.

5. 設，如果且，那么的取值范圍是

A. B. C. D.

二.填空題

1. .圓的一段弧長等于該圓外切正三角形的邊長,則這段弧所對圓心角的弧度數是 .

2.. 已知，sin()=－ sin則cos= .

3.已知,其單調遞增區間為 .

4.在△中，已知，三角形面積為12，則 .

三.解答題：

已知函數f(x)=2cos²x+sin2x+m(mR)．若x[0，]，且f(x)的最小值是2，求m的值．

答案：

一.選擇題

1.解：把＝0，，，分別代入原函數驗證，可知僅當＝時為偶函數，故選(C)．

2.解：觀察各選擇答案可知，應有ω＞0，觀察圖象可看出，應有T＝＜2π，

∴ω＞1 ，故可排除A與B，由圖象還可看出，函數y＝2sin(ωx＋)的圖象是由函數y＝2sinωx的圖象向左移而得到的，∴＞0，又可排除D，故選C

3. 解：記，由三角函數定義可知Q點的坐標滿足，故選（A）．

4. 選D

5 選C.

二.填空題：

1.

2.

3.

4.

解答題：解：由已知得f(x)=1+cos2x+sin2x+m=2sin(2x+)+m+1．當x[0,]時， 2x+[，]，此時當2x+=時，f(x)的最小值是+m+1=2，∴m=2．

試題詳情

河北省石家莊市2009年高中畢業班一模

理綜

可能用到的相對原子質量：

As―75 C―12 N―14 O―16 Na―23 Mg―24 Al―27 S―32 Cl―35.5

試題詳情

山東省濰坊市2009年高考一模

基本能力測試

試卷類型：A

說明：本試題分第Ⅰ卷和第Ⅱ卷兩部分，共12頁，滿分100分。以考生實際得分

的60％計人總分。用時120分鐘。答題前，考生務必用O.5毫米的黑色簽字筆將自己

的姓名、座號、準考證號、考試科目涂寫在答題卡和試卷規定的位置。考試結束后，將

本卷、答題卡一并交回。

第Ⅰ卷選擇題(共30分)

注意事項：

1．每小題選出答案后。用2B鉛筆把答題卡對應題目的答案標號涂黑。(特別強

調：鑒于還沒有閱“基本能力”答題卡的配套設備，為方便本次閑卷，每位考生在認

真填涂“基本能力”答題卡的前提下，再將I卷選擇題答案重涂在另一答題卡上。)

如需改動，用橡皮擦干凈后，再選涂其它答案標號。不涂答題卡，只答在試卷上的不得

分。

2．第Ⅰ卷共30小題，全部為單項選擇題，每小題1分，共30分。

3．答題卡科目涂寫要求：文科和藝術文考生在科目處涂物理，理科、藝術理和體

育考生在科目處涂政治。

試題詳情

平遙中學08-09學年高二下學期三月質檢

英語試題

滿分150分，時間120分鐘；命題人：王曉瑋

第一卷

第一部分：單項填空（共15小題；每小題1分，滿分15分）

從A、B、C、 D四個選項中，選出可以填入空白處的最佳選項.

1． person like him won’t be satisfied with little progress that he has made.

A．The；a B．The；／ C．A：／ D．A：the

2．-----You just think of yourself! You kept me waiting for at least three hours．

----- I am sorry that you ________ think so．

A．should B．would C．migh t D．could

3．----- What do you think of the furniture on exhibition?

----- Well，great! But I don’t think much of__________ you bought．

A．the one B．it C．that D．which

4．------Did Alice enjoy the concert held in Xi Yuan Theater yesterday?

------Yes．she did．She ________ such an excellent concert for a long time．

A．didn’t take part in B．wouldn’t take in

C．hasn’t been in D．hadn’t been in

5．I’m sorry，but I didn’t see how we can get all this work you assigned_______ by next Tuesday．

A．having done B．done C．being done D．to do

6．They have _____ most carefully the time and money needed to complete the project.

A．picked out B．left out C．figured out D．taken out

7.This kind of cloth _______ well. I think it is worthy ________.

A. washes; buying B. is washed; buying

C. washes; to be bought D. is washed; to be bought

8．Have you got any explanation to the question________ he came here for the day before yesterday?

A．why B．what C．how D．which

9. Christmas is a holiday usually celebrated on December 25th ____ the birth of Jesus Christ.

A. in charge of B. in terms of C. in favor of D. in honor of

10. These problems,____ will seriously affect the growth of teenagers and even the nation's future.

A. not if solved properly B. if solved properly

C. not if properly solved D. if not solved properly

11. --- “I’m afraid I can’t finish the magazine within the required time.”

--- “ .”

A．Please go ahead B．That’s right

C．Not at all D．Take your time

12. It’s _____ me why Alice, aged 28, gave up her job and got married to a man of 62.

A. under B. above C. beyond D. over

13. ------The English exam is not difficult, is it?

------ ______, even Tom ______ to the top students failed in it.

A. Yes, belongs B. No, belonged C. Yes, belonging D. No, belonging

14．$100 a month could hardly the cost of his life in such a big city in this country.

A．cover B．afford C．include D．contain

15. -----How ____feel to be home again after 20 years abroad ?

------Exciting .

A . do you B. does that C. did you D. does it

第二部分：完形填空 (共20小題；每小題2分，滿分40分)

閱讀下列短文，掌握其大意，從短文后每題所給的A、B、C、D四個選項中，選出可以填入空白處的最佳答案。

第二節：完形填空（共20小題；每小題1.5分，滿分30分）

閱讀下面短文，掌握其大意，然后從16-36 各題所給的四個選項（A、B、C和D）中，選出最佳選項，并在答題紙上將該選項標號涂黑。

That which cometh from the heart goes to the heart.-------- Jeremiah Burroughs

I was working as a consultant(someone whose job is to give advice on a particular subject) in a beer company, helping the president and senior vice-presidents formulate(develop something) and implement(take action) their new strategic vision. It was a big 16 .

At the same time, my mother was in the final stages of cancer.

I worked during the day and drove 40 miles home to be with her every night. It was 17 and stressful, but it was 18 I wanted to do. My promise was to continue to do excellent consulting during the day, 19 my evenings were very hard. I didn’t want to 20 the president with my situation, yet I felt someone at the company needed to know what was 21 on. So I told the vice-president of Human Resources, asking him not to share the information 22 anyone.

A few days 23 , the president called me into his office. I 24 he wanted to talk to me about one of the many issues we were 25 . When I entered, he asked me to 26 . He faced me from across his large desk, 27 me in the eye and said, “I hear your mother is very ill.”

I was 28 caught by surprise and burst into 29 He just looked at me, let my crying die down, and then 30 said a sentence I will never forget: “ 31 you need.”

That was it. His 32 and his willingness to both let me be in my pain 33 to offer me everything were 34 of compassion（同情）that I carry with me 35 this day.

16. A. work

B. challenge

C. employment

D. career

17. A. interesting

B. exciting

C. tiring

D. annoying

18. A. that

B. what

C. which

D. where

19. A. even though

B. even if

C. what’s more

D. as if

20. A. worry

B. disappoint

C. bother

D. excuse

21. A. happening

B. doing

C. keeping

D. going

22. A. with

B. in

C. on

D. at

23. A. after

B. later

C. in

D. before

24. A. hoped

B. expected

C. figured

D. wished

25. A. working on

B. studying

C. engaging

D. involving

26. A. stand up

B. sit down

C. go away

D. settle down

27. A. watched

B. stared at

C. glared at

D. looked

28. A. directly

B. slightly

C. totally

D. carefully

29. A. tears

B. laughing

C. crying

D. laughter

30. A. angrily

B. gently

C. gladly

D. hurriedly

31. A. However

B. What

C. Nothing

D. Whatever

32. A. understanding

B. courage

C. bravery

D. appreciation

33. A. or

B. and

C. but

D. so

34. A. spirits

B. strength

C. encouragement

D. qualities

35. A. by

B. until

C. to

D. till

第三部分：閱讀理解（每題3分, 滿分60分）

閱讀下面的短文，從每題所給的四個選項（A、B、C和D）中，選出最佳選項，并在答題卡上將該項涂黑。

A

218 Chestnut Street　
　　Philadelphia, PA28774
　　May 7th, 2002
　　Social Security Administration
　　2119 Main Street
　　Philadelphia, PA28000

Dear Social Security,
　　I am applying for a new Social Security Card.
　　I lost my old one last week. I was walking home from the subway station, and I pulled a tissue （紙巾）out of my pocket and lost my wallet at the same time. My card was in my wallet. Please send me a new card. If you can get the card to me within two weeks, please sent it to the address at the top of the page. If it will take longer than this, then you will have to send it to my new address. I am moving on May 23rd to:
　　103 Walnut Street
　　Philadelphia, PA28445
　　If you can send my new card within two weeks, I would be very pleased. I am applying for a new job at Ventura Savings Bank, and I know they will want to have my Social Security Number. Unfortunately I have forgotten it, so I will need my card to find out. On my old card I was called Victoria Matthews. Since then I have gotten married. Please issue my new card in my married name: Victoria Villata. In case you need more information about me to hunt down my old number, my date of birth was September 11, 1985. Thank you very much.
　　Sincerely
　　Victoria Villata n

36.Why does Mrs. Villata need a new Social Security Card?
　　A. She is moving.
　　B. She lost the old one.
　　C. She has just gotten married.
　　D. She doesn’t remember her Social Security Number.
37.Why does Mrs. Villata give the Social Security Administration her date of birth?
　　A. She wants them to know how old she is.
　　B. She is afraid they may have lost her Social Security Card.
　　C. She thinks it will help them track down her Social Security Number.
　　D. She thinks that the older she is, the more Social Security she will get.
　38.Which part of Victoria Villata’s letter is LEAST important to the Social Security Administration?
　　A. The fact that she has changed her name.
　　B. The fact that her card should be mailed to a new address.
　　C. The fact that she needs a replacement Social Security Card.
　　D. The fact that she lost her wallet while pulling a tissue out of her pocket.

　　 B

Dr Wiseman started “the laugh lab” project in September 2001. It is the largest study of humour. Participants（參加者）are invited to log on to the laugh lab website, give a few personal details, tell their favourite jokes and judge the jokes told by other people.
　　The project will last for a year, and the organizers hope to finally discover the world’s funniest joke. But there is also a serious purpose. The researches want to know what people from different nations and cultures find funny. And they want to find out the differences between the male and female sense of humour. The idea is that if we want to understand each other, we have to find out what makes us laugh.
　　This is a subject that has long interested psychologists（心理學家）and philosophers（哲學家）. Most of the time, people are not completely honest. We do things that society expects us to and say things that help us get what we want. But laughing cannot be controlled. When we laugh, we tell the truth about ourselves.
　　By December 2001 over 10, 000 jokes had been submitted. This gave the scientists enough evidence （證據）to make early conclusions. It seems that men and women do have different senses of humour, for instance.
　　“Our findings show the major differences in the ways in which males and females use humour, ” said Dr.　Wiseman. “Males use humour to appear superior（優越）to others, while women are more skilled in languages and prefer word play. ”
　　Researchers also found that there really is such a thing as a national sense of humour. the British enjoy what is usually called “toilet humour”. But the French like their jokes short and sharp: “You’re a high priced lawyer. Will you answer two questions for 500?” “Yes. What’s the second question?”
　　The Germans are famous for not having a sense of humour. But the survey found that German participants were more likely to find submitted jokes funny than any other nationality. Perhaps that proves the point. Is this joke funny? I don’t know, but let’s say yes, just to be safe.
　　Dr Wiseman and his workmates also submitted jokes created by computer. But none of those who took part in the survey found any of them amusing. Perhaps this is relief. Computers already seem like they can do everything. At least they should leave the funny stuff to us.
　　39．Scientist started“ the laugh lab” project________
　　A. to find the funniest joke in European countries
　　B. to know what funny people are from different nations and cultures
　　C. to find out the differences between the male and female sense of humour
　　D. to get more personal details about participants
　　40．We can infer from the passage that________.
　　A. most of the people all over he world are completely honest
　　B. psychologists and philosophers take interest in the “laugh lab” project
　　C. ordinary people are not interested in “the laugh lab” project at all
　　D. people tell the truth about themselves only when they laugh
　　41．What is the main idea of the 4th and 5th paragraph?
　　A. Man and woman have different senses of humour.
　　B. male and female have similar senses of humour.
　　C. About 10, 000 jokes have been submitted from September 2001 to December 2001.
　　D. Scientists have collected enough evidence to make conclusions.
　　42．The writer gave the examples of the British, the French and the Germans________.
　　A. to show that French people have a better sense of humour
　　B. to prove the British people have a sense of “toilet humour”
　　C. to show people from different nations have different senses of humour
　　D. to prove that the Germans have no sense of humour
　　43．Which statement is true according to the passage?
　　A. The jokes by computer are less funny than those by humans.
　　B. The Germans cannot find the submitted jokes amusing.
　　C. Males are better at word play compared with women.
　　D. Females like to use humour to show that they are superior.

Several days ago, a Beijing - based IT company fired about 400 people overnight. No one had expected the job cuts, which broke with traditional ways of letting go of workers in China. Moreover, what was special about this case was that the day before the 400 were fired, they all received from their boss a gift - the book “Who Moved My Cheese?”.
　　The book - a bestseller in the US - is being used by men and women to deal with changes in their lives and work. Some large organizations, including Coca- Cola, Kodak and General Motors, ask their employees to read it in order to encourage them to be active towards changes.
　　Cheese is something related to everyone’s livelihood - our jobs, the industries we work in, relationships and love as well.
　　With China’s official entry into WTO, the whole nation will face up to more changes and challenges. So what should we do once this “cheese” on which we are so dependent is moved?
　　“Whatever challenges and changes we meet, we should face up to them bravely” Jiang Hengwei, a civil servant said after reading the book.
　　Professor Yang in Renmin University of China agrees. “We should change our way of thinking. The coming competitive foreign companies and products provide us with great chances to learn from them and improve our own products to meet international standards and be more competitive.”
　　“With hard work and wisdom, we will create a much larger and better piece of cheese. ”Zhang smiled confidently.
　　44．The whole passage is about________.
　　A. a bestseller in the US
　　B. what people think about China’s entry into the WTO
　　C. people’s attitude toward changes and challenges
　　D. how a book influences the Chinese workers
　　45．The company in Beijing gave each of the 400 fired workers a copy of “Who Moved My Cheese” in order to________.
　　A. be more competitive with foreign firms
　　B. find an excuse for their job cuts
　　C. let the workers make a living on their own
　　D. encourage the fired workers
　　46．The word “cheese”in the passage can refer to________.
　　A. something we depend on for a living
　　B. a most important kind of food
　　C. change or challenge
　　D. way of life
　　47．From what Hengwei and Professor Zhang Yang said, we can know that________.
　　A. they have different opinions on changes and challenges
　　B. people are not afraid of competition from foreign companies
　　C. the Chinese people are ready to face any changes and challenges
　　D. they are both greatly encouraged by the book

D

If you don’t want people to know too much about you, then you had better keep your fridge contents secret according to a British market research document released last week.

Researchers peered (凝視) into the fridges of 400 people in Britain and compared the contents with the owners’ lifestyles. They claim to be able to classify the nation’s people by fridge contents.

They say those people can be separated into five categories："nutrition nerds (no social sense)", "food faddies (whatever’s in style)", "martyr mums", "fast food fanatics" and "restaurant regulars".

"Nutrition nerds" care much about what they put into their bodies. Their fridges are stocked with fruit, vegetables and healthy meat.

People in this category tend to be highly organized and usually work in law or accountancy. The vast majority are single, but if they have a partner, that person will be similar.

A fridge full of vitamins ― enriched juices implies its owner works in media or fashion. They tend not to eat the foods they buy. Known as the "food faddies", they just want to be seen as purchasing the latest important things.

A fridge filled with everything from steak to frozen fish suggests the "martyr mum". Her fridge tends to be stocked with every kind of product, except what she herself would want. This fridge hints at difficulty balancing family and work life.

"Fast food fanatics" always buy mineral water for soda pop; the nearest they will get to fresh fruit is tomato sauce. Their fridges hint at someone who works hard and plays hard. Also, someone who is not into long term planning.

Finally, a fridge filled with nothing more than a bottle of white wine and some sparkling mineral water implies an owner who is single, lives in a big city and enjoys the finer things in life. The fridge is empty because this person regularly eats in restaurants.

48．We can know from the first two paragraphs that ______.

A．some researchers are fond of staring at other people’s fridges

B．people don’t want others to know about their secrets

C．the food you put in the fridge has something to do with your personality

D．there are mainly five kinds of lifestyles among British people

49．According to the passage, people who belong to "food faddies" ______.

A．don’t care much about money when buying things

B．will try their best to stay healthy

C．often stay up late to finish their job

D．prefer to ask others about what to do next

50．What will those who often dine out put in the fridge?

A．All kinds of food they like. B．Only something to drink.

C．Fruit, vegetables and meat. D．Food rich in vitamins.

51．What might be the most suitable title for the text?

A．Keep your fridge a secret B．You are what’s in your fridge

C．What to put in the fridge? D．Be careful about your fridge

E

Botany, the study of plants, plays a strange role in the history of human knowledge. For many thousands of years it was one field about which humans had little knowledge. It is impossible to know today just what our Stone Age Ancestors knew about plants, but from what we can observe of preindustrial societies that still exists, a detailed learning of plants and their properties（特征）must be very ancient. This is reasonable. Plants are the basis of the food pyramid for all living things, even for other plants. They have always been greatly important to the good of peoples, not only for food, but also for clothing, weapons, tools, medicines, housing, and a great many other purposes. Tribes(部落)living today in the woods of the Amazon recognize hundreds of plants and know many properties of each. To them botany, as such, has no name and is probably not even recognized as a special branch of knowledge at all.

Unfortunately, the more industrialized we become the farther away we move from direct relation with plants, and the less clear our knowledge of botany grows. Yet everyone comes unconsciously on a surprising amount of botanical knowledge, and few people will fail to recognize a rose or an apple. When our New Stone Age ancestors, living in the Middle East about 10 000 years ago, discovered that certain grasses could be harvested and their seeds planted for richer production the next season, the first great step in a new connection of plants and humans was taken. Grains were discovered and from them flowed the marvel of agriculture: planted crops. From then on, humans would increasingly take their living from the controlled production of a few plants, rather than getting a little here and a little there from many varieties that grew wild and the collected knowledge of tens of thousands of years of experience and close relations with plants in the wild would begin to disappear.

52. Which of the following assumptions（假設）about early humans is expressed in the passage?

A. They probably had wide knowledge of plants.

B. They clearly divided knowledge into separate fields

C. They did not enjoy the study of botany.

D. They placed great importance on ownership of property.

53.According to the passage, why has general knowledge of botany decreased?

A. People no longer value plants as a useful resource.

B. Botany is not recognized as a special branch of science.

C. Research is unable to keep up with the increasing number of plants.

D. Direct relation with a variety of plants has decreased.

54.In paragraph 2, the underlined word “marvel” is closest in meaning to _____.

A. edge B. sign C. beginning D. wonder

55. According to the passage, what was the first great step toward the practice of agriculture?

A. The invention of agriculture tools and machines.

B. The development of a system of names for plants.

C. The discovery of grasses that could be harvested and replanted.

D. The changing food of early humans.

第II卷（共35分）

第四部分：寫作（共兩節，滿分35分）

第一節 短文改錯（共10小題；每小題1分，滿分10分）

此題要求改正所給短文中的錯誤。對標有題號的每一行作出判斷：如無錯誤，在該行右邊橫線上畫一個勾（√）；如有錯誤（每行只有一個錯誤），則按下列情況改正：此行多一個詞：把多余的詞用斜線（\）劃掉，在該行右邊橫線上寫出該詞，并也用斜線劃掉。此行缺一個詞；在缺詞處加一個漏字符號（∧），在該行右邊橫線上寫出該加的詞。

此行錯一個詞：在錯的詞下劃一橫線，在該行右邊橫線上寫出改正后的詞。

注意：原行沒有錯誤的不要改。

This city changed a lot in the past five years. First, 56.____________

more high buildings have appeared, that are modem and 57____________

beautiful. Many overpasses have set up, so it is very 58.____________

convenient for people to travel. However, many families 59.____________

have cars of their own. The people's life there has 60.____________

become richly and colorful. People can enjoy themselves 61.____________

travel on holidays. To my delight, I can taste delicious 62.____________

food of different country such as the food of America 63.____________

and Japan. And it's much more easier for me to keep 64.____________

in touch with you, for I can e-mail you in my office. 65.____________

第二節 書面表達（滿分25分）

假如你叫李華，是某農村中學的學生。你校打算在教室里面安裝空調，讓學生討論。請根據下表中討論的結果，給校長寫封信。

贊成觀點

反對觀點

你的觀點

空調冬暖夏涼

優化學習環境

家庭條件好了

支付得起費用

裝空調會污染環境

產生噪音影響學習

增加學生經濟負擔

有的家庭負擔不起

不同意裝空調，并給出你的理由：

①……

②……

③……

注意： 1．信的格式已經為你寫好，不計人總詞數。

2．詞數：120詞以上。

3．參考詞匯：install air-conditioners

Dear headmaster,

With best wishes!

Yours,

Li Hua

英語答題卡

改錯

書面表達

總分