南海中学2008届高三立刻数学综合训练（八）
荆州中学、宜昌一中2008届高三年级十月联考数学试卷
一。选择题（本大题共10小题，每小题5分，共50分.在每小题给出的四个选项中，只有一项是符合题目要求的）
1．在由正数组成的等比数列
中，
，则
（ ）
A．6
B．
2．如果复数
的实部与虚部互为相反数，则
的值等于
（ ）
A．0
B．
3．已知函数
在点
处连续，则
（ ）
A．11
B．
C．3
D．
4．已知函数
满足
，且
时，
，则
与
的图像的交点的个数为
（ ）
A．1
B．
5．“
”是“函数
在区间
上为增函数”的 （ ）
A．充分不必要条件 B．必要不充分条件
C．充要条件 D．既不充分也不必要条件
6．函数
的图像是中心对称图形，其对称中心的坐标是 （ ）
A．
B．
C．
D．
7．已知等比数列中，
，公比为
，且该数列各项的和为
，
表示该数列的前
项和，且
，则实数的取值范围是
（ ）
A．
B．
C．
D．
8．已知函数
在R上可导且满足
，则
（ ）
A．
B．
C．
D．
9．设函数的定义域为
,若函数满足: (1)在内单调递增,(2)方程
在内有两个不等的实根,则称为递增闭函数.若
是递增闭函数,则实数
的取值范围是( )
A．
B．
C．
D
10．已知集合
，若集合
，则实数的取值范围是
A．
B．
C．
D． 
2009年高考数学总复习解题思维专题讲座之四
数学思维的开拓性
一、概述
数学思维开拓性指的是对一个问题能从多方面考虑；对一个对象能从多种角度观察；对一个题目能想出多种不同的解法，即一题多解。
“数学是一个有机的整体，它的各个部分之间存在概念的亲缘关系。我们在学习每一分支时，注意了横向联系，把亲缘关系结成一张网，就可覆盖全部内容，使之融会贯通”，这里所说的横向联系，主要是靠一题多解来完成的。通过用不同的方法解决同一道数学题，既可以开拓解题思路，巩固所学知识；又可激发学习数学的兴趣和积极性，达到开发潜能，发展智力，提高能力的目的。从而培养创新精神和创造能力。
在一题多解的训练中，我们要密切注意每种解法的特点，善于发现解题规律，从中发现最有意义的简捷解法。
数学思维的开拓性主要体现在：
(1) 一题的多种解法
例如
已知复数
满足
，求
的最大值。
我们可以考虑用下面几种方法来解决：
①运用复数的代数形式；
②运用复数的三角形式；
③运用复数的几何意义；
④运用复数模的性质（三角不等式）
；
⑤运用复数的模与共轭复数的关系
；
⑥（数形结合）运用复数方程表示的几何图形，转化为两圆与
有公共点时，
的最大值。
(2) 一题的多种解释
例如，函数式
可以有以下几种解释：
①可以看成自由落体公式
②可以看成动能公式
③可以看成热量公式
又如“1”这个数字，它可以根据具体情况变成各种形式，使解题变得简捷。“1”可以变换为：
，等等。
1． 思维训练实例
例1 已知
求证：
分析1 用比较法。本题只要证
为了同时利用两个已知条件，只需要观察到两式相加等于2便不难解决。
证法1 
所以
分析2 运用分析法，从所需证明的不等式出发，运用已知的条件、定理和性质等，得出正确的结论。从而证明原结论正确。分析法其本质就是寻找命题成立的充分条件。因此，证明过程必须步步可逆，并注意书写规范。
证法2 要证
只需证 
即 
因为
所以只需证 
即
因为最后的不等式成立，且步步可逆。所以原不等式成立。
分析3 运用综合法（综合运用不等式的有关性质以及重要公式、定理（主要是平均值不等式）进行推理、运算，从而达到证明需求证的不等式成立的方法）
证法3 
即
分析4 三角换元法：由于已知条件为两数平方和等于1的形式，符合三角函数同角关系中的平方关系条件，具有进行三角代换的可能，从而可以把原不等式中的代数运算关系转化为三角函数运算关系，给证明带来方便。
证法4 
可设
分析5 数形结合法：由于条件
可看作是以原点为圆心，半径为1的单位圆，而
联系到点到直线距离公式，可得下面证法。
证法5 （如图4-2-1）因为直线
经过
圆的圆心O，所以圆上任意一点
到直线
的距离都小于或等于圆半径1，
即 
简评 五种证法都是具有代表性的基本方法，也都是应该掌握的重要方法。除了证法4、证法5的方法有适应条件的限制这种局限外，前三种证法都是好方法。可在具体应用过程中，根据题目的变化的需要适当进行选择。
例2 如果
求证：
成等差数列。
分析1 要证，必须有
成立才行。此条件应从已知条件中得出。故此得到直接的想法是展开已知条件去寻找转换。
证法1 
故 ，即 成等差数列。
分析2 由于已知条件具有
轮换对称特点，此特点的充分利用就是以换元去减少原式中的字母，从而给转换运算带来便利。
证法2 设
则
于是，已知条件可化为：
所以成等差数列。
分析3 已知条件呈现二次方程判别式
的结构特点引人注目，提供了构造一个适合上述条件的二次方程的求解的试探的机会。
证法3 当
时，由已知条件知
即成等差数列。
当
时，关于
的一元二次方程：
其判别式
故方程有等根，显然＝1为方程的一个根，从而方程的两根均为1，
由韦达定理知 
即 成等差数列。
简评：证法1是常用方法，略嫌呆板，但稳妥可靠。证法2简单明了，是最好的解法，其换元的技巧有较大的参考价值。证法3引入辅助方程的方法，技巧性强，给人以新鲜的感受和启发。
例3 已知
，求
的最小值。
分析1 虽然所求函数的结构式具有两个字母
，但已知条件恰有的关系式，可用代入法消掉一个字母，从而转换为普通的二次函数求最值问题。
解法1 
设
，则
二次项系数为
故有最小值。
当
时，
的最小值为
分析2 已知的一次式两边平方后与所求的二次式有密切关联，于是所求的最小值可由等式转换成不等式而求得。
解法2 
即
即 
当且仅当
时取等号。 的最小值为
分析3 配方法是解决求最值问题的一种常用手段，利用已知条件结合所求式子，配方后得两个实数平方和的形式，从而达到求最值的目的。
解法3 设
当时，
即的最小值为
分析4 因为已知条件和所求函数式都具有解析几何常见方程的特点，故可得到用解析法求解的启发。
解法4
如图4－2－2，表示直线
表示原点到直线
上的点
的距离的平方。
显然其中以原点到直线的距离最短。
此时，
即
所以的最小值为
注 如果设
则问题还可转化为直线与圆
有交点时，半径
的最小值。
简评 几种解法都有特点和代表性。解法1是基本方法，解法2、3、4都紧紧地抓住题设条件的特点，与相关知识联系起来，所以具有灵巧简捷的优点，特别是解法4，形象直观，值得效仿。
例4 设
求证：
分析1 由已知条件
为实数这一特点，可提供设实系数二次方程的可能，在该二次方程有两个虚根的条件下，它们是一对共轭虚根，运用韦达定理可以探求证题途径。
证法1 设
当
时，可得
与
条件不合。
于是有 
该方程有一对共轭虚根，设为
，于是
又由韦达定理知 
分析2 由于实数的共轭复数仍然是这个实数，利用这一关系可以建立复数方程，注意到
这一重要性质，即可求出
的值。
证法2 设当时，可得与条件不合，
则有
，
即
但
而
即
分析3 因为实数的倒数仍为实数，若对原式取倒数，可变换化简为易于进行运算的形式。再运用共轭复数的性质，建立复数方程，具有更加简捷的特点。
证法3 
即
从而必有
简评 设出复数的代数形式或三角形式，代入已知条件化简求证，一般也能够证明，它是解决复数问题的基本方法。但这些方法通常运算量大，较繁。现在的三种证法都应用复数的性质去证，技巧性较强，思路都建立在方程的观点上，这是需要体会的关键之处。证法3利用倒数的变换，十分巧妙是最好的方法。
例5
由圆
外一点
引圆的割线交圆于
两点，求弦
的中点
的轨迹方程。
分析1 （直接法）根据题设条件列出几何等式，运用解析几何基本公式转化为代数等式，从而求出曲线方程。这里考虑在圆中有关弦中点的一些性质，圆心和弦中点的连线垂直于弦，可得下面解法。
解法1
如图4－2－3，设弦的中点的坐标为，连接
，
则
，在
中，由两点间的距离公式和勾股定理有
整理，得 
其中
分析2 （定义法）根据题设条件，判断并确定轨迹的
曲线类型，运用待定系数法求出曲线方程。
解法2 因为是的中点，所以，
所以点的轨迹是以
为直径的圆，圆心为
,半径为
该圆的方程为：
化简，得 其中
分析3 （交轨法）将问题转化为求两直线的交点轨迹问题。因为动点可看作直线
与割线
的交点，而由于它们的垂直关系，从而获得解法。
解法3 设过
点的割线的斜率为
则过点的割线方程为：
.
且过原点，
的方程为 
这两条直线的交点就是点的轨迹。两方程相乘消去化简，得：其中
分析4 （参数法）将动点坐标表示成某一中间变量（参数）的函数，再设法消去参数。由于动点随直线的斜率变化而发生变化，所以动点的坐标是直线斜率的函数，从而可得如下解法。
解法4 设过点的割线方程为：
它与圆的两个交点为，的中点为.
解方程组 
利用韦达定理和中点坐标公式，可求得点的轨迹方程为：
其中
分析5 （代点法）根据曲线和方程的对应关系：点在曲线上则点的坐标满足方程。设而不求，代点运算。从整体的角度看待问题。这里由于中点的坐标
与两交点
通过中点公式联系起来，又点
构成4点共线的和谐关系，根据它们的斜率相等，可求得轨迹方程。
解法5 设
则
两式相减，整理，得 
所以
即为的斜率，而对斜率又可表示为
化简并整理，得 其中
简评 上述五种解法都是求轨迹问题的基本方法。其中解法1、2、3局限于曲线是圆的条件，而解法4、5适用于一般的过定点且与二次曲线
交于两点，求中点的轨迹问题。具有普遍意义，值得重视。对于解法5通常利用
可较简捷地求出轨迹方程，比解法4计算量要小，要简捷得多。
吉林省长春市第二实验中学2009届高三第四次月考
英语
第Ⅰ卷(选择题，共计95分)
第一部分 英语知识运用（共三节，满分50分）
第一节 语音知识（共5小题，每小题1分，满分5分）
从四个选项中，找出其划线部分与所给单词的划线部分读音相同的选项
1. wealth
A. healthy
B. breathe
C. though
D. weather
2.stamps
A. songs
B. prepares
C. sticks
D. problems
3.natural
A. nature
B. grass
C. national
D. labour
4. appear
A. heart
B. fear
C. heard
D. earn
5. mine
A. delight
B. sickness
C. insist
D. officer
第二节 单项填空（共15小题，每小题1分，满分15分）
6. --- How about my fish?
--- _____. Cooking is really your field.
A. It couldn’t be better B. It couldn’t be worse
C. No better than before D. I couldn’t agree more
7. ―Sorry to interrupt you. Please go on.
―Where was I ?
―You ______ you didn’t like going to college in Hongkong.
A. had been saying B. had said C. said D. were saying
8. Finally she got too tired and fell asleep at the desk, her right hand
still ____ a pen.
A. held B. to hold C. holding D. was holding
9. The young woman is now experiencing a world that is totally new
to her ____ there is true love, happiness and care.
A. when B. where C. which D. that
10. ‘ Time ____ will never be found again!’ I couldn’t help talking to myself.
A. lost B. losing C. to lose D. have lost
11. Yesterday I missed my feet on the stairs and had a bad fall. Luckily it was nothing serious, ______.
A. however B. therefore C. also D. though
12.―Did you watch________men’s table tennis double final match?
―Yes. It was _______closely-fought game.
A. the; a B./;a C. the; / D. a; the
13.Is it the letter that you received yesterday________makes you sad?
A. which B. what C. that D. when
14. ―May I move your bag a little and take this seat?
―_________.
A. Do it please. B. I don’t mind
C. It doesn’t matter D. Go ahead
15. ―What do you think of the meal we have just had?
―It is well worth_________is charged for it.
A. that B. what C. which D. how many
16. When I told the manager I didn’t receive the goods on time, he promised to _____it at once.
A. look into B. look through
C. look after D.look over
17.________only 20 minutes left, I felt uneasy in the taxi to the railway station.
A. For B. As C.Because D. With
18. Scientists think that the continents ____ always where they _____ today.
A. aren’t; are B. aren’t; were
C. weren’t; are D. weren’t; were
19. Diana sold most of her things. She has hardly ____ left in her house.
A. anything B. everything C. nothing D. something
20. ____ the days when we lived a hard life.
A. Away B. Going are C. Gone are D. There were
第二节：完形填空(共20小题；每小题1.5分，满分30分)
阅读下面短文，掌握其大意，然后从21--40各题的四个选项A、B、C 和 D中，选出可以填入空白处的最佳选项。
Happiness is what everyone looks for. _21 someone says that he is happy. However, 22 makes him happy may not work for others. And even __23 ,someone may spend all his life looking for happiness, but in vain.
In the past, I tried my best to make myself happy. I thought if I could 24
get and do what I wanted to , I would be happy. Certainly, it was __25 , but I was disappointed. Though I could be happy at 26 , I couldn’t keep my happiness for a long time. Why?
One day, when I told a friend of mine what I 27 about happiness, he smiled and said only a few words, “Happiness is not a __28 thing but a by ?product ( 副产品 ).”
I was surprised, but he was really 29 .
Someone thinks money can 30 everything, but when he becomes a
millionaire after his hard work, perhaps he will find that he has new 31 . And he has to go to church for 32 . Sometimes love can bring happiness, but at other times it _33_ misunderstanding, tiredness, and even quarrelling .
Happiness is only a by―product of all _34 of things you love to do. You can not 35 it in a straight way. That is, it is not a thing _36_ in the material form but in your senses.
You should tell yourself, “ I do not __ 37 __ whether I am happy or not. But I must love 38 .” And one day you will _39 find happiness itself has quietly __40_ .
21. A. Maybe
B. Once
C. Then
D. And
22. A. who
B. what
C. it
D. this
23. A. more
B. now
C. worse
D. so
24. A. often
B. really
C. hardly
D. frequently
25. A. important
B. necessary
C. unnecessary
D. possible
26. A. present
B. all
C. times
D. last
27. A. did
B. thought
C. learned
D. discovered
28. A. single
B. simple
C. common
D. strange
29. A. lying
B stupid
C. right
D. foolish
30. A. get
B. make
C. produce
D. bring
31. A. wish
B. demands
C. worries
D. business
32. A. helping
B. God
C. comfort
D. rest
33. A. suggests
B. happens
C. seems
D. causes
34. A. fields
B. types
C. kinds
D. forms
35. A. have
B. grasp
C. search
D. discover
36. A. floating
B. existing
C. coming
D. surrounded
37. A. mind
B. know
C. ask
D. wonder
38. A. life
B. family
C. happiness
D. health
39. A. hardly
B suddenly
C. never
D. often
40. A. disappeared
B. missed
C. lost
D. arrived
第二部分 第一节 阅读理解
（共20小题，每小题2分，共40分）
阅读下列短文，从每题所给的四个选项中，选出最佳选项
A
It may help you to know that there is no such thing as a perfect speech. At some point in every speech, every speaker says something that is not understood exactly as he has planned. Fortunately, such moments are usually not obvious to the listeners. Why? Because the listeners do not know what the speaker plans to say. They hear only what the speaker does say. If you lose your place for a moment, wrongly change the order of a couple of sentences, or forget to pause at a certain point, no one will be any the wiser. When such moments occur, don't worry about them. Just continue as if nothing happened.
Even if
you do make an obvious mistake during a speech, that doesn't really matter. If
you have ever listened to Martin Luther King's famous speech---"I have a
Dream", you may notice that he stumbles(结巴) over his words
twice during the speech. Most likely,
People care a lot about making a mistake in a speech because they regard speech-making as a kind of performance rather than as an act of communication. They feel the listeners are like judges in an ice-skating competition. But, in fact, the listeners are not looking for a perfect performer. They are looking for a well-thought-out speech that expresses the speaker's ideas clearly and directly. Sometimes a mistake or two can actually increase a speaker's attractiveness by making him more human.
As you work on your speech, don't worry about being perfect. Once you free you mind of this, you will find it much easier to give your speech freely.
41. The underlined part in the first paragraph means that no one will ______.
A. be smarter than you B. notice your mistakes
C. do better than you D. know what you are talking about
42. You don't remember obvious mistakes in a speech because ______.
A. you fix your attention on the content
B. you don't fully understand the speech
C. you don't know what the speaker plans to say
D. you find the way of speech-making more important
43. It can be inferred from the passage that ______.
A. giving a speech is like giving a performance
B. one or two mistakes in a speech may not be bad
C.
the listeners should pay more attention to
D. the more mistakes a speaker makes, the more attractive he will be.
44. What would be the best title for the passage?
A.
B.
C. Don't Expect a Perfect Speech
D. Don't Expect Mistakes in a Speech
B
The twentieth century saw greater changes than any century before: changes for the better, changes for the worse; changes that brought a lot of benefits to human beings, changes that put man in danger. Many things caused the changes, but, in my opinion, the most important was the progress in science.
Scientific research in physics and biology has vastly broadened our views. It has given us a deeper knowledge of the structure of matter and of the universe; it has brought us a better understanding of the nature of life and of its continuous development. Technology--the application of science--has made big advances that have benefited us in nearly every part of life.
The continuation of such activities in the twenty-first century will result in even greater advantages to human beings: in pure science -- a wider and deeper knowledge in all fields of learning; in applied science -- a more reasonable sharing of material benefits, and better protection of the environment.
Sadly, however, there is another side to the picture. The creativity of science has been employed in doing damage to mankind.The application of science and technology to the development and production of weapons of mass destruction has created a real danger to the continued existence of the human race on this planet. We have seen this happen in the case of nuclear weapons. Although their actual use has so far occurred only in the Second World War, the number of nuclear weapons that were produced and made ready for use was so large that if the weapons had actually been used, the result could have been the ruin of the human race, as well as of many kinds of animals.
William Shakespeare said, "The web of our life is of a mingled yarn (纱线), good and ill together. '’The above brief review of the application of only one part of human activities ? science seems to prove what Shakespeare said. But does it have to be so? Must the ill always go together with the good? Are we biologically programmed for war?
45. Which of the following best shows the structure of the passage?
A. B. C. D.
46.From the fourth paragraph, we can
infer that________.
A. a great many nuclear weapons were actually used for war
B. a large number of nuclear weapons should have been used for war
C. the author is doubtful about the ruin of human beings by nuclear weapons
D. the author is anxious about the huge number of nuclear weapons on the earth
47.The underlined word "mingled" in the last paragraph most probably means________.
A. simple B. mixed C. sad D. happy
48.What do you think the author is most likely to suggest if he continues to write?
A. Further application of science to war.
B. More reading of William Shakespeare.
C. Proper use of science in the new century.
D. Effective ways to separate the good from the ill.
C
American
doctors say that mothers who smoke cigarettes before their babies are born may
slow the growth of their babies' lungs. They say reduced lung growth could
cause the babies to suffer breathing problems and lung disease later in life.
Doctors in
Another recent study found that children had a greater chance of developing lung cancer if their mothers smoked. The study also showed that the danger of lung cancer increased only for sons and not for daughters, and that the father's smoking did not affect a child's chance of developing lung cancer.?
49. That mother smokes before her child is born may .?
A. slow the growth of her baby's lung?
B. cause her baby to suffer breathing problems and lung disease later in life
C. make her child develop lung cancer?
D. All of above are right?
50.
Doctors in
A. examine whether these children were healthy?
B. find out whether their mothers had smoked?
C. find why these children suffered breathing problems and lung disease?
D. look into the effect that mother's smoking had on their children?
51. Suppose John's father was a heavy smoker, so was Mary's mother. According this passage, .?
A. John is more likely to develop lung cancer?
B. Mary is more likely to develop lung cancer?
C. John and Mary have the same chance to develop cancer?
D. neither John nor Mary has the chance to develop cancer?
52. This passage is to ?
A. warn us of the danger of smoking before children?
B. warn people with breathing problems not to smoke?
C. warn us that mothers who smoke may affect their children's health?
D. warn us that fathers who smoke may affect their children as mothers
D
A sixth of
undergraduates in
Training costs
have dropped to 2, 600 yuan for students, according to the
“In the job market, owning a driver's permit sometimes strengthens a graduating student's competitiveness for a good position, ”says Zhou Yang, an undergraduate at the China University of Political Science and Law.
Cars will become a necessary part of many people's lives in the coming years, and it is difficult to get a permit of campus because of the pressures on working people's time.“Having a fulltime job after graduation offers limited time to learn to drive. We senior students have plenty of spare time, plenty of opportunity to learn.”Zhou says.
Xu Jian, an official at the driving school, said undergraduates were very able and serious, and could grasp in an hour what ordinary people took four hours to learn. In this driving school, middle -aged people, young women and college students are the main customers.
To get a driver's permit, a beginner is now required to have at least 86 hours'practice before the final road test.
53．________ in
A. Most of the undergraduates
B. Many undergraduates
C. Many students in the driving school
D. Most of the students who learn business or international trade
54．The undergraduates are learning to drive because ________.
A. they need this skill to find a good job
B. they like to drive cars
C. they will have no time to learn to drive after they find a full - time job
D. most of them will be able to buy cars in the future
55．Which is likely to be Xu Jian's opinion of students learning to drive?
A. He thought it was better to learn it at college than at work.
B. He decided it was a waste of money and time to learn to drive.
C. He agreed that they could learn to drive.
D. He thought they would spend three times more time to learn to
drive than usual.
56．Which of the following can be the best headline for the passage?
A. Students Pay Less to Learn to Drive Now.
B. Students Learn to Drive.
C. It is Better to Learn to Drive at Colleges.
D. Welcome to the Driving School.
E
Harbour Cruises LTD.
Dining, Sightseeing and Special Events
Get
on board to experience Vancouver from a different perspective (视角). Join Harbour
Cruises Ltd. For
Dates of Operation: April - October and December
Seasonal Hours: 8 : 00 am - 7 : 00 pm, 7 days a week
Directions:
Drive west on
Information: 604.688.7246
Reservations: 1. 800. 663. 1500
Website: www. boatcruises. corn
Email: tours@boatcruises . corn
# 1,
North Foot of Den-man Street, Vancouver, BC V
The
Lookout at
Not sure where to start? The Lookout，which is high atop Harbor Center Tower，is your best first choice in Vancouver．Majestic cruise ships，mountains sprinkled with fresh snow and a west coast sunset are but a few highlights of this grand 3600 view．Drink your cappuccino，join a free guided tour，learn something new about Vancouver and enjoy the view！
Dates of Operation：Open 365 days/year
Seasonal Hours：Winter 9：00 am - 9：00 pm
Summer 8：30 am - 10：30 pm
Directions：Located downtown at the SeaBus and SkyTrain station．
Just steps away from the Cruise Ship Terminal and historic Gastown．
Information and Reservations：604.689.0421
Website: www. vancouverlookout.com
Email: info@vancouverlookout.com
Step back in time to 1925. The museum features a village, a farmhouse and the historic CW Parker Carousel. Costumed townspeople welcome you to exhibits that include a schoolhouse, a blacksmith, a Chinese medicine store and an ice - cream parlour.
Seasonal Hours: May 4 - Sept 2 (11: 00 am - 4:30 pm )
Christmas Hours: Nov 23 - Dec 13 & Dec31 - Jan 4(12:00 - 5:30 pm) and Dec 14 - 30 (12:00 - 8:00 pm) Closed Dec 24& 25
Directions: Take
exit 33 from Hwy 1 to
Information: 604. 293. 6501
Telephone: 604. 293. 6500
Website: www. city. burnaby.cb.ca.
57. To get a
bird's-eye view of
A. Harbour Cruises LTD B. Harbour Centre Tower
C.
58. If you want to visit one of the places from 8:30 am to 10:30 am on Christmas Day, you can get further information on ___________.
A. Website: www.vancouverlookout.com
B. Email: info@vancouverlookout.com
C. Website: www.city.burnaby.cb.ca
D. Website: www.boatcruises.com
59. Which of the following statements is true?
A. A
guide is necessary for people to visit
B.
There is fresh snow at
C.
Harbour Cruises LTD is closer to downtown than
D. The ice-cream parlour provides you local delicious food at lunch time on Christmas Day.
60. The main
purpose of the advertisements is to attract tourists to
A. for the view of mountains B. for a ship sightseeing
C. for a cultural visit D. for great fun
注意： 61--65小题的涂卡方法是：A, B, C, D正常涂，E涂为AB，F涂为AC，G涂为AD
第二节：补全对话 （共5小题； 每小题1分）
根据对话内容，从对话后所给的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。
(B: Burley, the boss, J: Jeremy)
B: Good morning.
J: Good moring, Mr. Burley.
B: Please be seated. 61
J: Yes, I have. I worked for B & J Business Forms Company.
B: 62
J: I quite enjoyed it, but the office was too big and sometimes noisy. I want to work in a smaller and quieter office.
B: 63 I think my office is very quiet and modern. I hope you don’t stay away from work too much.
J: 64
B: That’s very good indeed. 65 One of the young men in my office is always absent. Right! I’ll take you on.
第II卷 (共55分)
第三部分 写作（共三节，满分55分）
第一节 单词拼写（共10小题，每小题1分，满分10分）
66. To her__________(失望), it rained on the day of the picnic.
67. I’ll drop in on you if it is __________ (方便)to you.
68. __________(听) to music is great fun and I enjoy it.
69. In Britain __________(星期五) is considered the fifth day of the week.
70.We __________(还价) with her about the price, but we couldn’t bring it down.
71. The traditions were__________ (深深地) rooted in local custom.
72. Chinese characters are the most beautiful, _________(比较)with the words in other languages.
73. Many _________ (亚洲) countries are making great efforts to develop their own economies.
74. I’m going to celebrate Dad’s__________(六十) birthday.
75.The students felt so__________(兴奋) at the good news.
第二节 短文改错 （共10小题，每小题1.5分，满分15分）
如无错误，在该行右边的横线上画一个勾（√）；如果有错误（每行只有一个错误），则按下列情况改正：该行多一词：把多余的词用斜线（\）划掉，在该行右边横线上写出该词，并也用斜线划掉。该行缺一词：在缺词处加一个漏字符号（∧），并在该行右边横线上写出该加的词。该行错一词：在错的词下划一横线，在该行右边的横线上写出改正后的词。
Dear, Carmen
It is early afternoon and I am sitting in the small restaurant
76.____________
closed to my work . It is a terrible day in
77.____________
raining and I am feeling of homesick . I am thinking of you
78.____________
and my other friends in
79.____________
sidewalks is crowed with people. All of them are wearing coats
80.____________
and carry umbrellas. Everyone is in a hurry to get a dry place
81.____________
Bus and cars are moving up and down the streets. Inside,
82.____________
it is warm and pleasant. I attend classes in every morning. I
83.____________
don’t have many free time. But I like my life here. I hope
84.____________
that you are good and happy. Please write soon. I enjoy your
85.____________
letters with news from home
第三节：书面表达(满分30分)
假设你是李红，你的一位美国笔友Robert写E-mail问及你高考后暑假的安排，请根据以下要点，写一封100词左右的email回复他, 可以适当增加细节。
1. 学开车 2. 参加英语培训课程 3. 去北京游玩 4. 游览北京的名胜 5. 可能的话，参加社会实践，勤工俭学。
注意：1.根据以上内容写一篇短文，不要逐句翻译，可适当增加细节以使行文连贯。2. 词数：100个左右。开头已给出，不计词数。
Dear Robert,
How time flies!__________________________________________________
月考四英语试卷答案
第Ⅰ卷
选择题
题号
1
2
3
4
5
6
7
8
9
10
答案
A
C
C
B
A
A
D
C
B
A
题号
11
12
13
14
15
16
17
18
19
20
答案
D
A
C
D
B
A
D
C
A
C
题号
21
22
23
24
25
26
27
28
29
30
答案
A
B
C
B
D
C
B
A
C
D
题号
31
32
33
34
35
36
37
38
39
40
答案
C
C
D
C
B
B
A
A
B
D
题号
41
42
43
44
45
46
47
48
49
50
答案
B
A
B
C
A
D
B
D
D
D
题号
51
52
53
54
55
56
57
58
59
60
答案
D
C
B
A
C
B
B
D
C
D
第Ⅱ卷
补全对话
61. D 62.G 63. C 64. E 65. A
单词拼写
66. disappointment 67. convenient 68. Listening 69. Friday
70. bargained 71. deeply 72. compared 73. Asian
74. sixtieth 75. excited
短文改错
76. the → a
77. closed →
close 78. feeling of 79. √
80. is → are 81. carry → carrying 82. Bus → Buses
83. in 84. many → much 85. good →
well
书面表达
Dear Robert:
How time flies! The happy days we shared
often shines in my memory. What about you? As you know, my college entrance
exam is approaching, which also announces the end of this sort of pressing
study life. However，I intend to have a meaningful summer vacation.
First, I will learn to drive to get a driving license, which is a new activity
for a high school graduate in
That is the plan for my vacation. I am looking forward to being told about your arrangements of vacation. Give me your quick reply soon, OK?
Best wishes!