2007年高考训练之二情景类语言表达
2007年英语高考复习第一部分 词法
第1章 主谓一致
一.概念:
主谓一致是指：
1） 语法形式上要一致，即单复数形式与谓语要一致。
2） 意义上要一致，即主语意义上的单复数要与谓语的单复数形式一致。
3） 就近原则，即谓语动词的单复形式取决于最靠近它的词语，
一般来说，不可数名词用动词单数，可数名词复数用动词复数。例如：
There is much water in the thermos.
但当不可数名词前有表示数量的复数名词时，谓语动词用复数形式。例如：
Ten thousand tons of coal were produced last year.
二.相关知识点精讲
1.并列结构作主语时谓语用复数，例如：
注意：当主语由and连结时，如果它表示一个单一的概念，即指同一人或同一物时，谓语动词用单数，and 此时连接的两个词前只有一个冠词。例如：
The iron and steel industry is very important to our life. 钢铁工业对我们的生活有重要意义。
典型例题
The League secretary and monitor ___ asked to make a speech at the meeting.
A. is B. was C. are D. were
答案B. 注： 先从时态上考虑。这是过去发生的事情应用过去时，先排除A.，C。本题易误选D，因为The League secretary and monitor 好象是两个人，但仔细辨别，monitor 前没有the，在英语中，当一人兼数职时只在第一个职务前加定冠词。后面的职务用and 相连。这样本题主语为一个人，所以应选B。
2. 主谓一致中的靠近原则
1)当there be 句型的主语是一系列事物时，谓语应与最邻近的主语保持一致。例如：
There is a pen, a knife and several books on the desk. 桌上有一支笔、一把小刀和几本书。
There are twenty boy-students and twenty-three girl-students in the class.班上有二十个男孩，二十三个女孩。
2）当either… or… 与neither… nor，连接两个主语时，谓语动词与最邻近的主语保持一致。如果句子是由here, there引导，而主语又不止一个时，谓语通常也和最邻近的主语一致。例如：
Either you or she is to go. 不是你去，就是她去。
Here is a pen, a few envelops and some paper for you. 给你笔、信封和纸。
3.谓语动词与前面的主语一致
当主语有with, together with, like, except, but, no less than, as well as 等词组成的短语时，谓语动词与前面的主语部分一致。例如：
The teacher together with some students is visiting the factory. 教师和一些学生在参观工厂。
He as well as I wants to go boating.他和我想去划船。
4. 谓语需用单数的情况
1）代词each以及由every, some, no, any等构成的复合代词作主语时，或主语中含有each, every时, 谓语需用单数。例如：
Each of us has a tape-recorder. 我们每人都有录音机。
There is something wrong with my watch. 我的表坏了。
2）当主语是一本书或一条格言时，谓语动词常用单数。例如：
The Arabian Night is a book known to lovers of English. 《天方夜谭》是英语爱好者熟悉的一本书。
3）表示金钱，时间，价格或度量衡的复合名词作主语时，通常把这些名词看作一个整体，谓语一般用单数。例如：
Three weeks was allowed for making the necessary preparations. 用三个星期来做准备。
Ten yuan is enough. 十元够了。
5.指代意义决定谓语的单复数
1）代词what, which, who, none, some, any, more, most, all等词的单复数由其指代的词的单复数决定。例如：
All is right. 一切顺利。
All are present. 人都到齐了。
2）集体名词作主语时，谓语的数要根据主语的意思来决定。如family, audience, crew, crowd, class, company, committee等词后，谓语动词用复数形式时强调这个集体中的各个成员，用单数时强调该集体的整体。例如：
His family isn't very large. 他家成员不多。
His family are music lovers. 他家个个都是音乐爱好者。
但集合名词people, police, cattle, poultry等在任何情况下都用复数形式。例如：
Are there any police around? 附近有警察吗？
3）有些名词，如variety, number, population, proportion, majority 等有时看作单数，有时看作复数。例如：
A number of +名词复数+复数动词。
The number of +名词复数+单数动词。
A number of books have lent out.
The majority of the students like English.
6.与后接名词或代词保持一致的情况
1）用half of, most of, none of, heaps of, lots of, plenty of 等引起主语时，谓语动词通常与of后面的名词/代词保持一致。例如：
Most of his money is spent on books. 他大部分的钱化在书上了。
Most of the students are taking an active part in sports. 大部分学生积极参与体育运动。
2）用a portion of, a series of, a pile of, a panel of 等引起主语时，谓语动词通常用单数。例如： A series of accidents has been reported. 媒体报道了一连串的事故。
A pile of lots was set beside the hearth. 炉边有一堆木柴。
3）如 many a 或 more than one 所修饰的短语作主语时，谓语动词多用单数形式。但由more than… of 作主语时，动词应与其后的名词或代词保持一致。例如：
Many a person has read the novel. 许多人读过这本书。
More than 60 percent of the students are from the city.百分之六十多的学生来自这个城市。
三.巩固练习
（ ） 1. The number of people invited ______ fifty, but a number of them _______ absent for different reasons.
A. were, was B. was, was
C. was, were D. were, were
（ ） 2. E-mail, as well as telephones, ________ an important part in daily communication.
A. is playing B. have played
C. are playing D. play
（ ） 3. ______ of the land in that district ______ covered with trees and grass.
A. Two fifth, is B. Two fifth, are
C. Two fifths, is D. Two fifths, are
（ ） 4. Ten minutes ______ a long time for one who waits.
A. seem B. seems
C. seemed D. are seemed
（ ） 5. Eric is the only one of the boys who _____ a driving license.
A. has B. have
C. is having D. are having’
（ ） 6. Joy and Sorrow _____ next-door neighbours.
A. is B. are C. were D. be
（ ）7. In my opinion, some of the news _____ unbelievable.
A. are B. is C. has been D. have been
（ ）8. When ______ the United Nations founded?
A. is B. are C. was D. were
（ ）9. Every possible means _____ .
A. has tried B. has been tried
C. was tried D. were tried
（ ） 10. What she says and does _____ nothing to do with me.
A. was B. were C. has D. have
（ ）11. There _____ a dictionary and several books on the desk.
A. are B. must C. have been D. is
（ ）12. Nobody ______ seen the film. It’s a pity.
A. but Tom and Jack have B. except Tom and Jack have
C. but my friends has D. but I have
（ ）13. No teacher and no student ______．
A. are admitted B. is admitted
C. are admitting D. is admitting
（ ）14. All but one ______ here just now.
A. is B. was C. has been D. were
（ ）15. When and where to build the new factory _____ yet.
A. is not decided B. are not decided
C. has not decided D. have not decided
（ ） 16. The writer and singer ______ here.
A. is B. are C. were D. do
（ ） 17. As I have a meeting at four, ten minutes _____ all that I can spare to talk with you.
A. are B. was C. is D. were
（ ） 18. In those days John with his classmates _____ kept busy preparing for the exam.
A. is B. are
C. was D. were
（ ） 19. ―― ____ your clothes?
――No, mine _____ hanging over there.
A. Is it, is B. Are these, are
C. Is it, are D. Are these, is
（ ） 20. The Smith’s family, which ____ rather a large one, ____ very fond of their old houses.
A. were, were B. was, was
C. were, was D. was, were
（ ） 21. What the teacher and the students want to say _____ that either of the countries ____ beautiful.
A. are, are B. is, is
C. are, is D. is, are
（ ） 22. He is the only one of the students who _____ a winner of scholarship for three years.
A. is B. are
C. have been D. has been
（ ） 23. _____ of my brothers are reporters. Covering events, meetings, or sports meetings ______ their duty.
A. Each, are B. Both, is
C. Neither, are D. None, is
（ ） 24. ―― What do you think of the ______ of the coat?
―― It’s rather high. You can buy a cheaper one in that shop.
A. value B. cost C. price D. use
（ ） 25. ―― Are the two answers correct?
―― No, ______ correct.
A. no one is B. both are not
C. neither is D. either is not
（ ） 26. The wind, together with rain and fog, _____ making sailing difficult.
A. have been B. was
C. / D/ are
四.答案1.C 2. A 3. C 4. B 5. A 6. B 7. B 8. C 9. B 10. C 11. D 12. C 13. B 14. D 15. A 16. A 17. C 18. C 19. B 20. D 21. B 22. D 23. B 24. C 25. C 26. B
第2章 动词的时态
一. 概念:
时态是英语谓语动词的一种形式,表示动作发生的时间和所处的状态.英语中的时态是通过动词形式本身的变化来实现的.英语有16种时态,但中学阶段较常用的有十种:一般现在时,一般过去时,一般将来时,过去将来时,现在进行时,过去进行时,将来进行时,过去完成时,英在完成时和现在完成进行时.
二.相关知识点精讲
1.一般现在时的用法
1） 经常性或习惯性的动作，常与表示频腮度的时间状语连用。时间状语： every…, sometimes, at…, on Sunday。例如：
I leave home for school at 7 every morning. 每天早上我七点离开家。
2） 客观真理，客观存在，科学事实。例如：
The earth moves around the sun. 地球绕太阳转动。
3） 表示格言或警句。例如：
Pride goes before a fall. 骄者必败。
注意：此用法如果出现在宾语从句中，即使主句是过去时，从句谓语也要用一般现在时。
例：Columbus proved that the earth is round. 哥伦布证实了地球是圆的。
4） 现在时刻的状态、能力、性格、个性。例如：
I don't want so much. 我不要那么多。
Ann writes good English but does not speak well. 安英语写得不错，讲的可不行。
比较：Now I put the sugar in the cup. 把糖放入杯子。
I am doing my homework now. 我正在做功课。
第一句用一般现在时，用于操作演示或指导说明的示范性动作，表示言行的瞬间动作。第二句中的now是进行时的标志，表示正在进行的动作的客观状况，所以后句用一般现在时。
2. 一般过去时的用法
1）在确定的过去时间里所发生的动作或存在的状态。例如：时间状语有：yesterday, last week, an hour ago, the other day, in 1982等。例如：
Where did you go just now? 刚才你上哪儿去了？
2）表示在过去一段时间内，经常性或习惯性的动作。例如：
When I was a child, I often played football in the street. 我是个孩子的时候，常在马路上踢足球。
Whenever the Browns went during their visit, they were given a warm welcome.
那时，布朗一家无论什么时候去，都受到热烈欢迎。
3）句型：It is time for sb. to do sth "到……时间了" "该……了"。例如：It is time for you to go to bed. 你该睡觉了。
It is time that sb. did sth. "时间已迟了" "早该……了" ，例如It is time you went to bed. 你早该睡觉了。
would （had） rather sb. did sth. 表示'宁愿某人做某事'。例如：I'd rather you came tomorrow.还是明天来吧。
4） wish, wonder, think, hope 等用过去时，作试探性的询问、请求、建议等，而一般过去时表示的动作或状态都已成为过去，现已不复存在。例如：I thought you might have some. 我以为你想要一些。
比较：Christine was an invalid all her life.（含义：她已不在人间。）
Christine has been an invalid all her life.（含义：她现在还活着）
Mrs. Darby lived
in
Mrs. Darby has
lived in
注意： 用过去时表示现在，表示委婉语气。
1）动词want, hope, wonder, think, intend 等。例如：
Did you want anything else? 您还要些什么吗？
I wondered if you could help me. 能不能帮我一下。
2）情态动词 could, would。例如：
Could you lend me your bike? 你的自行车，能借用一些吗？
3.一般将来时
1） shall用于第一人称，常被will 所代替。will 在陈述句中用于各人称，在征求意见时常用于第二人称。例如：
Which paragraph shall I read first？ 我先读哪一段呢？
Will you be at home at seven this evening? 今晚七点回家好吗？
2） be going to +不定式，表示将来。
a. 主语的意图，即将做某事。例如：What are you going to do tomorrow? 明天打算作什么呢？
b. 计划，安排要发生的事。例如：The play is going to be produced next month。这出戏下月开播。
c. 有迹象要发生的事。例如：Look at the dark clouds, there is going to be a storm. 看那乌云，快要下雨了。
3） be +不定式表将来，按计划或正式安排将发生的事。例如：
We are to discuss the report next Saturday.我们下星期六讨论这份报告。
4） be about to +不定式，意为马上做某事。例如：
He is about to leave for
注意：be about to do 不能与tomorrow, next week 等表示明确将来时的时间状语连用。
4. 一般现在时表将来
1）下列动词come, go, arrive, leave, start, begin, return的一般现在时可以表示将来，主要用来表示在时间上已确定或安排好的事情。例如：
The train leaves at six tomorrow morning. 火车明天上午六点开。
When does the bus star? It stars in ten minutes. 汽车什么时候开？十分钟后。
2）以here, there等开始的倒装句，表示动作正在进行。例如：
Here comes the bus. = The bus is coming. 车来了。
There goes the bell. = The bell is ringing. 铃响了。
3）在时间或条件句中。例如：
When Bill comes （不是will come）, ask him to wait for me. 比尔来后，让他等我。
I'll write to you as soon as I arrive there. 我到了那里，就写信给你。
4）在动词hope, take care that, make sure that等的宾语从句中。例如：
I hope they have a nice time next week. 我希望他们下星期玩得开心。
Make sure that the windows are closed before you leave the room. 离开房间前，务必把窗户关了。
5. 用现在进行时表示将来
下列动词come, go, arrive, leave, start, begin, return等现在进行时可以表示将来。例如：
I'm leaving tomorrow. 明天我要走了。
Are you staying here till next week? 你会在这儿呆到下周吗？
6. 现在完成时
现在完成时用来表示之前已发生或完成的动作或状态，其结果的影响现在还存在；也可表示持续到现在的动作或状态。其构成：have （has） +过去分词。
7. 比较一般过去时与现在完成时
1）一般过去时表示过去某时发生的动作或单纯叙述过去的事情，强调动作；现在完成时为过去发生的，强调过去的事情对现在的影响，强调的是影响。
2）一般过去时常与具体的时间状语连用，而现在完成时通常与模糊的时间状语连用，或无时间状语。
一般过去时的时间状语：yesterday, last week，…ago, in1980, in October, just now等，皆为具体的时间状语。
现在完成时的时间状语：for, since, so far, ever, never, just, yet, till/until, up to now, in past years, always等，皆不确定的时间状语。
共同的时间状语：this morning, tonight, this April, now, already, recently, lately 等。
3）现在完成时可表示持续到现在的动作或状态，动词一般是延续性的，如live, teach, learn, work, study, know.。
一般过去时常用的非持续性动词有come, go, leave, start, die, finish, become, get married等。例如：
I saw this film yesterday. （强调看的动作发生过了）
I have seen this film. （强调对现在的影响，电影的内容已经知道了）
Why did you get up so early? （强调起床的动作已发生过了）
Who hasn't handed in his paper? （强调有卷子未交，疑为不公平竞争）
He has been in the League for three years. （在团内的状态可延续）
He has been a League member for three years. （是团员的状态可持续）
句子中如有过去时的时间副词（如yesterday, last, week, in 1960）时，不能使用现在完成时，要用过去时。
（错）Tom has written a letter to his parents last night.
（对）Tom wrote a letter to his parents last night.
8. 用于现在完成时的句型
1）It is the first / second time.... that…结构中的从句部分，用现在完成时。例如：
It is the first time that I have visited the city. 这是我第一次访问这城市。
This is the first time （that） I've heard him sing. 这是我第一次听他唱歌。
注意：It was the third time that the boy had been late.
2）This is +形容词最高级+that…结构，that 从句要用现在完成时。例如：
This is the best film that I've （ever） seen. 这是我看过的最好的电影。
9.过去完成时
1） 概念：表示过去的过去
----|----------|--------|----> 其构成是had +过去分词构成。
那时以前 那时 现在
2） 用法
a. 在told, said, knew, heard, thought等动词后的宾语从句。例如：
She said （that）she had never been to Paris. 她告诉我她曾去过巴黎。
b. 状语从句
在过去不同时间发生的两个动作中，发生在先，用过去完成时；发生在后，用一般过去时。例如：
When the police arrived, the thieves had run away. 警察到达时，小偷们早就跑了。
c. 表示意向的动词，如hope, wish, expect, think, intend, mean, suppose等，用过去完成时表示"原本…，未能…"。例如：
We had hoped that you would come, but you didn't. 那时我们希望你能来，但是你没有来。
3） 过去完成时的时间状语before, by, until , when, after, once, as soon as。例如：
He said that he had learned some English before. 他说过他以前学过一些英语。
By the time he
was twelve,
Tom was disappointed that most of the guests had left when he arrived at the party.
汤姆失望了，因为他到达晚会时，大部分客人已经走了。
10. 用一般过去时代替过去完成时
1） 两个动作如按顺序发生，又不强调先后，或用then，and，but 等连词时，多用一般过去时。例如：
When she saw the mouse，she screamed. 她看到老鼠，就叫了起来。
My aunt gave me a hat and I lost it. 姑妈给了我一顶帽子，我把它丢了。
2 ） 两个动作相继发生，可用一般过去时；如第一个动作需要若干时间完成，用过去完成时。例如：
When I heard the news, I was very excited.
3） 叙述历史事实，可不用过去完成时，而只用一般过去时。例如：
Our teacher told us that
11.将来完成时
1） 构成will have done
2） 概念
a. 状态完成：表示某事继续到将来某一时为止一直有的状态。例如：
They will have been married for 20 years by then. 到那时他们结婚将有二十年了。
b. 动作完成：表示将来某一时或另一个将来的动作之前，已经完成的动作或获得的经验。例如：
You will
have reached
12现在进行时
现在进行时的基本用法：
a. 表示现在（指说话人说话时）正在发生的事情。例如：
We are waiting for you. 我们正在等你。
b. 习惯进行：表示长期的或重复性的动作，说话时动作未必正在进行。例如：
Mr. Green is writing another novel. 他在写另一部小说。（说话时并未在写，只处于写作的状态。）
c. 表示渐变，这样的动词有：get, grow, become, turn, run, go, begin等。例如：
The leaves are turning red. 叶子在变红。
It's getting warmer and warmer. 天越来越热了。
d. 与always, constantly, forever 等词连用，表示反复发生的动作或持续存在的状态，往往带有说话人的主观色彩。例如：
You are always changing your mind. 你老是改变主意。
13. 过去进行时
1）概念：表示过去某时正在进行的状态或动作。
2）过去进行时的主要用法是描述一件事发生的背景；一个长动作延续的时候，另一个短动作发生。
3） 常用的时间状语有this morning, the whole morning, all day yesterday, from nine to ten last evening, when, while等。例如：
My brother fell while he was riding his bicycle and hurt himself. 我兄弟骑车时摔了下来，受了伤。
It was raining when they left the station. 他们离开车站时，正下着雨。
When I got to the top of the mountain, the sun was shining. 我到达山顶时，阳光灿烂。
14. 将来进行时
1） 概念：表示将来某时进行的状态或动作，或按预测将来会发生的事情。例如：
She'll be coming soon. 她会很快来的。
I'll be meeting him sometime in the future. 将来我一定去见他。
注意：将来进行时不用于表示"意志"，不能说 I'll be having a talk with her.
2）常用的时间状语有soon, tomorrow, this evening，on Sunday, by this time，tomorrow, in two days, tomorrow evening等。例如：By this time tomorrow, I'll be lying on the beach. 明天此时，我正躺在海滩上呢。
15. 一般现在时代替一般将来时
When, while, before, after, till, once, as soon as, so long as, by the time, if, in case （that）, unless, even if, whether, the moment, the minute, the day, the year, immediately等引导的时间状语从句，条件句中，用一般现在时代替将来时。例如：
He is going to visit her aunt the day
he arrives in
16. 一般现在时代替一般过去时
1 ） "书上说"，"报纸上说"等。例如：
The newspaper says that it's going to be cold tomorrow. 报纸上说明天会很冷的。
2） 叙述往事，使其生动。例如：
Napoleon's army now advances and the great battle begins.拿破仑的军队正在向前挺进，大战开始了
17. 一般现在时代替现在完成时
1） 有些动词用一般现在时代替完成时，如hear, tell, learn, write , understand, forget, know, find , say, remember等。例如：
I hear （= have heard） he will go to London. 我听说了他将去伦敦。
I forget （=have forgotten） how old he is. 我忘了他多大了。
2） 用句型 " It is … since…"代替"It has been … since …"。例如：
It is （= has been） five years since we last met. 从我们上次见面以来，五年过去了。
18. 一般现在时代替现在进行时。
在Here comes…/There goes…等句型里，用一般现在时代替现在进行时。例如：
There goes the bell. 铃响了。
19. 现在进行时代替将来时
1） 表示即将发生的或预定中计划好的活动。例如：
Are you staying with us this weekend? 和我们一起度周末好吗?
We are leaving soon. 我们马上就走。
2） 渐变动词，如get, run, grow, become, begin以及瞬间动词die等。例如：
He is dying. 他要死了。
20.时态一致
1） 如果从句所叙述的为真理或相对不变的事实，则用现在时。例如：
At that time, people did not know that the earth moves. 那时，人们不知道地球是动的。
He told me last week that he is eighteen. 上星期他告诉我他十八岁了。
2） 宾语从句中的，助动词ought, need, must, dare 的时态是不变的。例如：
He thought that I need not tell you the truth. 他认为我不必告诉你真相。
三.巩固练习:
1、I’ ll give the book to him as soon as he ________ back.
2、Has the baby ________ crying yet? (stop)
3、I don’ t know whether Mother __________ me to Beijing next
month.(take)
4、She _______ on her coat and went out. (put)
5、 “What are they doing?” “They __________ ready for the
sports meeting.” (get)
6、The boy asked his mother ________him go and play basketball.(let)
7、I’m sorry to keep you ____________ for a long time. (wait)
8、It ________ (take) him half an hour _______ (finish) his
homework yesterday.
9、If it ________ an interesting film, we’ll see it tomorrow. (be)
10、They usually ________ (do) their homework after supper.
11、Listen! Who _____________(sing) in the next room now?
12、__________(be) your parents in Shanghai last year?
13、Mr. Yu _____________(teach) us maths since 1982.
14、They will have a trip to the Great Wall if it _________ (not rain)
tomorrow.
15、Li Ming often _________ (listen) to the radio in the morning.
16、A: “Father, may I go
out and play football?”
B: “_____you ____(do) your
homework?”
17、All the people in the town are glad ______(hear) that a famous musician
___ a concert this Saturday evening.( give)
18、Our teacher told us if it _____(not snow) we would visit the Science
Museum the next day.
19、They often _______ (play) football in the afternoon.
20、A: What’re you doing Dad? B: I _______ (mend) the
radio.
21、Let’s _______(carry) the boxes to the house.
22、Yesterday she ______ (want) very much to see the film, but
she couldn’t __(get) a ticket.
23、I _________(write) to you as soon as I get to Shanghai.
24、Mike ___________(visit) several places since he came to Beijing.
25、He ___________ (write) four letters to his wife every month.
26、Don’ t make any noise, Grandma ___________ (sleep).
27、His aunt ___________ (do) some cooking when he came in .
28、When they ___________ (reach) the
station, the train had already left.
29、There ___________ (be) a meeting next
Monday.
30、We ___________ (know) each other since our boyhood..
31、Sometimes my father ___________ (come) back home late.
32、They ___________ (have) an English evening next week.
33、I’m very glad___________ (hear) that.
34、Wei Fang isn’t here. She ___________ (go) to the reading-room.
35、The story ___________ (happen) long ago.
36、They ___________ (visit) the History Museum last week.
37、Zhang Hong ___________ (make) many friends since she came to Paris.
38、She ___________ (go) to the cinema with her classmates tomorrow evening.
39、Stay here, bag. Don’t go out. It ___________(rain) now.
40、Li Ping___________ (write) a composition every week.
41、The scientist ___________ (give) us a talk yesterday.
42、My parents ___________ (live) in Beijing since 1949.
43、Look! The young worker___________ (show) the students around the factory
now.
44、They ___________ (build) a new bridge over the river next year.
45、The students___________ (clean) their classroom tomorrow.
46、The windows of our lab ___________
(clean) once a week.
47、Our teacher ___________ (join) the
party twenty years ago.
48、The boys___________ (have) a
basketball match now. Let’s ___(go) and _____(watch).
49、She___________ (work) in this
factory for ten years.
50、 “What makes you ___________ (think)
I’m a farmer?” the Frenchman asked.
四.答案
1. comes
2. stopped
3. will take
4. put
5. are getting
6. to let
7. waiting
8. took … to finish
9. is
10. do
11. is singing
12. Was
13. has taught
14. doesn’t rain
15. listens
16. Have … done
17. to hear … will give
18. didn’t snow
19. play
20. am mending
21. carry
22. wanted , get
23. will write
24. has visited
25. writes
26. is sleeping
27. was doing
28. reached
29. will be
30. have known
31. comes
32. will have
33. to hear
34. has gone
35. happened
36. visited
37. has made
38. will go
39. is raining
40. writes
41. gave
42. have lived
43. is showing
44. will build
45. will clean
46. is cleaned
47. joined
48. are having, go … watch
49. has worked
think
第三章 动词的语态
一.概念:
动词的语态是动词的一种形式,表示主语和谓语之间语法或语义的关系.英语的语态有两种:主动语态和被动语态.主动语态用于主动句,表示主语是动作的执行者.被动语态用于被动句,表示主语是动作的承受者.主动语态的构成方式与动词时态相同,而被动语态由 助动词be+过去分词 构成,有人称,数,时态的变化.
二. 相关知识点精讲
1. let 的用法
1）当let后只有一个单音节动词，变被动语态时，可用不带to 的不定式。例如：
They let the strange go.他们放陌生人走了。
---> The strange was let go.
2）当let 后宾补较长时，let 通常不用被动语态，而用allow或permit 代替。例如：
The nurse let me go to see my classmate in the hospital. 那护士让我去探望住院的同学。
----> I was allowed / permitted to see my classmate in the hospital.
2.短语动词的被动语态
短语动词是一个整体，不可丢掉后面的介词或副词。例如：
My sister will be taken care of by Grandma. 我妹妹由奶奶照顾。
Such a thing has never been heard of before. 这样的事闻所未闻。
3. 表示"据说"或"相信" 的词组，基本上由believe, consider, declare, expect, feel , report, say, see, suppose, think, understand等组成。例如：
It is said that… 据说
It is reported that… 据报道
It is believed that… 大家相信
It is hoped that… 大家希望
It is well known that… 众所周知
It is thought that… 大家认为
It is suggested that… 据建议
It is taken granted that… 被视为当然
It has been decided that… 大家决定
It must be remember that… 务必记住的是
4. 不用被动语态的情况
1） 不及物动词或不及物动词短语，如appear, die disappear, end（vi. 结束）, fail, happen, last, lie, remain, sit, spread, stand, break out, come true, fall asleep, keep silence, lose heart, take place等没有无被动语态。例如：
After the fire, very little remained of my house. 大火过后，我家烧得所剩无几。
比较：rise, fall, happen是不及物动词；raise, seat是及物动词。
要想正确地使用被动语态，就须注意哪些动词是及物的，哪些是不及物的。特别是一词多义的动词往往有两种用法。解决这一问题唯有在学习过程中多留意积累。
2） 不能用于被动语态的及物动词或动词短语，如fit, have, hold, marry, own, wish, cost, notice, watch agree with, arrive at / in, shake hands with, succeed in, suffer from, happen to, take part in, walk into, belong to等。例如：
This key just fits the lock. 这把钥匙只配这把锁。
Your story agrees with what had already been heard. 你说的与我们听说的一致。
3） 系动词无被动语态，如appear, be become, fall, feel, get, grow, keep, look, remain, seem, smell, sound, stay, taste, turn等。例如：It sounds good. 听上去不错。
4） 带同源宾语的及物动词如die/death, dream/dream， live/life等，以及反身代词，相互代词，不能用于被动语态。例如：
She dreamed a bad dream last night. 她昨晚做了个恶梦。
5） 当宾语是不定式时，很少用于被动语态。例如：
（对） She likes to swim.
（错） To swim is liked by her.
5. 主动形式表示被动意义
1）wash, clean, cook, iron, look, cut, sell, read, wear, feel, draw, write, sell等。例如：
The book sells well. 这本书销路好。
This knife cuts easily. 这刀子很好用。
2）blame, let（出租）, remain, keep, rent, build等。例如：
I was to blame for the accident. 事故发生了，我该受指责。
Much work remains. 还有许多活要干。
3） 在need, require, want, worth （形容词）, deserve后的动名词必须用主动形式。例如：
The door needs repairing.= The door needs to be repaired. 门该修了。
This book is worth reading. 这本书值得一读。
4）特殊结构：make sb. heard / understood （使别人能听见/理解自己）等。例如：
Explain it clearly and make yourself understood. 解释清楚些，让别人理解你的话。
6. 被动形式表示主动意义，如 be determined, be pleased, be graduated （from）, be prepared （for）, be occupied （in）, get married等。例如：
He is graduated from a famous university. 他毕业于一所有名的大学。
注意：表示同某人结婚，用marry sb. 或get married to sb.均可。例如：
He married a rich girl. 他与一个富妞结婚了。
He got married to a rich girl.
7.need/want/require/worth
当 need, want, require, be worth后面接doing时，表示的是被动意义。例如：
Your hair wants cutting. 你的头发该理了。
The floor requires washing. 地板需要冲洗。
三.巩固练习
1. I___________ (teach) here for ten years since I finished school.
2. Would you mind me __________ (use) your bike?
3. The students of Class Two___________ (sweep) their classroom now.
4. The Whites____________ (not listen) to the radio at that time.
5. It's better to give than__________ (receive).
6. How long ______you_______ (live) in this town?
7. You _______ (come) here last year, ______ you?
8. ----When ______ you______ (see) him?
----I______ (see) him last Sunday.
9. She said that the car___________ (use) the next week.
10. I didn't know what __________ (happen) to
11. When I got to the station, the train ____ already ______ (leave).
12. The stone bridge______________ (build) in our hometown for ten years.
13. The desk must ______ (clean) once a day.
14. The dog _________ (lie) on the floor when I came in..
15. It _________(rain) heavily when I got home.
16. Her mother____________ (cook) at this time yesterday.
17. The students _____________ (do) their homework. __________ (not make) any noise!
18. ----______ you ever_______ (be) to
19. He'll telephone us as soon as he _________ (arrive) there.
20. Jiefang trucks____________ (make) in
21. A pen is used for__________ (write).
22. All that must ________ (do).
23 .My friend can't decide which pair of trousers____________ (choose). So she asked me to go shopping with her.
24. They find it useful__________ (learn) English.
25. The old man often_________ (tell) the children a story in the evening. This evening he ________ (tell) two stories.
26. The radio__________ (use) once in a week in our class. It____________ (not use) yesterday because there was something wrong with it.
27. Would please tell us how___________ (make) the watch ________ (work)?
28. She doesn't know what_________ (do) and where__________ (go).
四.答案
1. have taught
2. using
3. are sweeping
4. weren’t listening
5. to receive
6. have … lived
7. came … didn’t
8. did … see, saw
9. would be used
10. would happen
11. had … left
12. have been built
13. be cleaned
14. was lying
15. was raining
16. was cooking
17. are doing, Don’t make
18. have … beeen, went
19. arrives
20. are made
21. writing
22. be done
23. to choose
24. to learn
25. tells, will tell
第四章 动词的语气
一.概念
语气有三种:陈述语气,祈使语气和虚拟语气.语气表示说话人对劝词所示示的动作或所处的状态持有的态度或看法.
二.相关知识点精讲
1.辨别if 引导真实条件句和if引导的虚拟条件句的区别
If he has time, he will go with us.= Probably he has time and will go with us.
If he had time, he would go with us.=But in fact he has no time.
2.虚拟条件句中主句和从句的谓与动词构成形式如下表
if条件句中的谓与动词
主句的谓与动词
与现在的事实相反
1. 行为动词用did 形式
2. be动词用were
should
would
could + 动词原形
might
与过去的事实相反
had + done
should
would
could + have + done
might
与将来的事实相反
1. 行为动词用did
2. should + 动词原形
3. were to + 动词原形
should
would
could + 动词原形
might
3.混合时间的虚拟语气
如果条件句中的动作和主句的动作不是同时发生，主句和从句的谓语动词的形式应分别根据各自所表示的时间加以调整。
1)0If I had received the passport yesterday, I would start today.
2)If he had telephoned me last night, I would see him now.
3)If he had followed the doctor’s advice, he would be all right now.
4)If
4.should/ could / might/ ought to + have done 表示“过去本应该/可以做而实际上却没做”
needn’t have done 表示“过去没必要作而实际上做了”
5.虚拟语气中的倒装句
如果虚拟语气的条件从句谓语动词中含有were, had, could, should，有时可将if省去，而将条件从句的主语置于were, had, should, could 之后。
Had you invited us, we would have come to your party.
Were I you, I would do more practice after class.
Could she lend us a helping hand, she would do so.
6.wish 后面的宾语从句的谓语动词应使用虚拟语气， 表示“可惜…；….就好了； 悔不该…； 但愿…。”
主句谓语
从句谓语
wish
时态
谓语动词的形式
现在时
表示与wish同时发生
动词用过去时
be动词用were
过去时
表示在wish之前发生的动作
动词用had done
be用had been
将来时
表示在wish之后发生的动作
动词用would do; should do
be 用 would be ; should be
1)I wish I knew the key to the answer.
2)I wish I were ten years younger.
3)I wish that I had gone to the football match last week.
4)I wish that you had been here yesterday.
5)He wishes that we would visit the old school.
7.表示命令或建议动词suggest, insist, propose, desire, demand, request, order, command 后的宾语从句中应使用虚拟 should +动词原形； should 不可用would 来替代; 主句所使用的动词时态不限。
8.suggest 为“建议去做…; 命令…”从句用should + do
为“ 说明； 暗示”, 从句用过去时或过去完成时。
1) The doctor suggested that I should take the medicine three times a day.
2) The doctor suggested that my grandmother had caught a bad cold.
9.insist “坚持要去做…，坚持应该去做”，从句用should + do为“坚持表明，坚持说/解释”， 从句用过去时或过去完成时。
10.虚拟语气也用于表语从句和主语从句中，表示间接的命令、要求、请求、建议、决定等，主句的主语通常是suggestion, proposal, request, order, idea 等。表语从句中的谓语动词是should +动词原型，should 可以省略。
11.在主语从句中，当从句用来表示惊奇、不相信、惋惜等，从句的谓语动词用需拟语气形式。其谓语动词时should + 动词原型， 或should 省略。
三.巩固练习
1. If there were no subjunctive mood, English _________ much easier.
A. will be B. would have been
C. could have been D. would be
2. If I _____ you, I’d join the army.
A. am B. was C. were D. would be
3. If he _______ tomorrow, he would find Mr Wang in the office.
A. comes B. will come C. should come D. come
4. If it _______ next week , the crops would be saved.
A. rains B. will rains C. would rain D. should rain
5. If I _______ it, I would do it in a different way.
A. were to do B. do C. had done D. was to do
6. Supposing the weather ________ bad, where would you go ?
A. is B. will be C. were D. be
7. If he had worked harder, he _________.
A. would succeed B. had succeeded
C. should succeed D. would have succeeded
8. If he ________, he _________ that food.
A. was warned; would not take
B. had been warned; would not have taken
C. would be warned; had not taken
D. would have been warned; had not taken
9. If my lawyer _________ here last Saturday, he _______ me from going.
A. had been; would have prevented
B. had been; would prevent
C. were; would prevent
D. were; would have prevented
10. If he ______ it, he _______ it.
A. had seen; could have believed B. saw; couldn’t believe
C. saw; couldn’t have believed D. has seen; had believed
11. ―Do you think the thief entered through the window?
―No, if he had, I don’t believe, _______ broken the living-room’s window.
A. he would have B. he must have
C. he had D. should he have
12. ―Did you go swimming last Sunday?
―No. We would have gone ______ nicer.
A. if the weather was
B. would the weather have been
C. had the weather been
D. should the weather be
13. ______ it ______ for your help, I couldn’t have made any progress.
A. Had; not been B. Should; not been
C. Did; not been D. Not; been
14. _______ today, he would get there by Friday.
A. Would have left B. Was he leaving
C. Were he to leave D. If he leaves
15. It is ordered that a new bridge ______ over the wide river.
A. should be built B. would built
C. will be built D. built
四.答案
1.D 2.C 3.C 4.D 5.A 6.C 7.D 8.B 9.A 10.A 11.D 12.C 13.A 14.C 15.A
第5章 助动词
一.概念:
助动词是帮助主要动词构成各种时态,语态,语气以及否定或疑问结构的动词.助动词分为时态助动词和结构助动词两种.
二.相关知识点精讲:
1. 助动词be的用法
1） be +现在分词，构成进行时态。例如：
They are having a meeting. 他们正在开会。
English is becoming more and more important. 英语现在越来越重要。
2） be + 过去分词，构成被动语态。例如：
The window was broken by Tom.. 窗户是汤姆打碎的。
English is taught throughout the world. 世界各地都教英语。
3） be + 动词不定式，可表示下列内容：
a. 表示最近、未来的计划或安排。例如：
He is to go to New York next week.. 他下周要去纽约。
We are to teach the freshmen. 我们要教新生。
说明： 这种用法也可以说成是一种将来时态表达法。
b. 表示命令。例如：
You are to explain this. 对此你要做出解释。
He is to come to the office this afternoon. 要他今天下午来办公室。
c. 征求意见。例如：
How am I to answer him? 我该怎样答复他？
Who is to go there? 谁该去那儿呢？
d. 表示相约、商定。例如：
We are to meet at the school gate at seven tomorrow morning. 我们明天早晨7点在校门口集合。
2. 助动词have的用法
1）have +过去分词，构成完成时态。例如：
He has left for London. 他已去了伦敦。
By the end of last month, they had finished half of their work. 上月未为止，他们已经完成工作的一半。
2）have + been +现在分词，构成完成进行时。例如：
I have been studying English for ten years. 我一直在学英语，已达十年之久。
3）have +been +过去分词，构成完成式被动语态。例如：
English has been
taught in
3.助动词do 的用法
1）构成一般疑问句。例如：
Do you want to pass the CET? 你想通过大学英语测试吗？
Did you study German? 你们学过德语吗？
2）do + not 构成否定句。例如：
I do not want to be criticized. 我不想挨批评。
He doesn't like to study. 他不想学习。
In the past, many students did not know the importance of English.
过去，好多学生不知道英语的重要性。
3） 构成否定祈使句。例如：
Don't go there. 不要去那里。
Don't be so absent-minded. 不要这么心不在焉。
说明： 构成否定祈使句只用do，不用did和does。
4）放在动词原形前，加强该动词的语气。例如：
Do come to my birthday party. 一定来参加我的生日宴会。
I did go there. 我确实去那儿了。
I do miss you. 我确实想你。
5）用于倒装句。例如：
Never did I hear of such a thing. 我从未听说过这样的事情。
Only when we begin our college life do we realize the importance of English. 进了大学以后，我们才认识到英语的重要性。
说明： 引导此类倒装句的副词有never, seldom, rarely, little, only, so, well等。
6）用作代动词。例如：
---- Do you like Beijing? --你喜欢北京吗？
---- Yes, I do. --是的，喜欢。（
2007年高考数学解读
（一）命题指导思想
1.命题应依据教育部《普通高中数学课程标准（实验）》和《2007年普通高等学校招生全国统一考试新课程标准数学科考试大纲》（待发），并结合我省普通高中数学教学实际，体现数学学科的性质和特点。
2.命题注重考查考生的数学基础知识、基本技能和数学思想、数学方法、数学能力，体现知识与能力、过程与方法、情感态度与价值观等目标要求。
3.命题既要实现平稳过渡，又要体现新课程理念。
4.注重试题的创新性、多样性和选择性，具有一定的探究性和开放性。
5.命题要坚持公正、公平原则。试题要切合我省中学数学教学实际，数学问题的难度、问题的情景等要符合考生的实际水平。应用题要“贴近生活，背景公平，控制难度”。
6.命题要注意必修内容和选修内容的有机联系与适当差异，注重数学学科知识的内在联系。
7.试卷要有较高的信度、效度和必要的区分度以及适当的难度，难度系数控制在0.55―0.65之内。
（二）知识和能力要求
1．知识要求
对知识的要求由低到高分为三个层次，依次是感知和了解、理解和掌握、灵活和综合运用，且高一级的层次要求包括低一级的层次要求。
(1)感知和了解：要求对所学知识的含义有初步的了解和感性的认识，知道这一知识内容是什么，并能在有关的问题中识别、模仿、描述它。
(2)理解和掌握：要求对所学知识内容有较为深刻的理论认识，能够准确地刻画或解释、举例说明、简单变形、推导或证明、抽象归纳，并能利用相关知识解决有关问题。
(3)灵活和综合运用：要求系统地掌握知识的内在联系，能灵活运用所学知识分析和解决较为复杂的或综合性的数学现象与数学问题。
2．能力要求
能力主要指运算求解能力、数据处理能力、空间想象能力、抽象概括能力、推理论证能力以及实践能力和创新意识。
(1)运算求解能力：会根据法则、公式进行正确运算、变形；能根据问题的条件，寻找与设计合理、简捷的运算途径。
(2)数据处理能力：会收集、整理、分析数据，能抽取对研究问题有用的信息，并作出正确的判断；能根据要求对数据进行估计和近似计算。
(3)空间想象能力：会画简单的几何图形；能准确地分析图形中有关量的相互关系；会运用图形与图表等手段形象地揭示问题的本质。
(4)抽象概括能力：能从具体、生动的实例中，发现研究对象的本质；能从给定的大量信息材料中，概括出一些结论，并能应用于解决问题或作出新的判断。
(5)推理论证能力：会根据已知的事实和已获得的正确数学命题来论证某一数学命题真实性。
(6)实践能力：能够对问题所提供的信息资料进行归纳、整理和分类，将实际问题抽象为数学问题，建立数学模型；能应用相关的数学方法解决问题，并能用数学语言正确地表述、说明。
(7)创新意识：能够独立思考，灵活和综合地运用所学数学的知识、思想和方法，提出问题、分析问题和解决问题。
（三）考试范围及要求
1.考试范围
（1）文科
《普通高中数学课程标准（实验）》中的必修课程内容和选修系列1内容。
数学1：集合、函数概念与基本初等函数I（指数函数、对数函数、幂函数）。
数学2：立体几何初步、平面解析几何初步。
数学3：算法初步、统计、概率。
数学4：基本初等函数II（三角函数）、平面上的向量、三角恒等变换。
数学5：解三角形、数列、不等式。
选修1－1：常用逻辑用语、圆锥曲线与方程、导数及其应用。
选修1－2：统计案例、推理与证明、数系的扩充及复数的引入、框图。
（2）理科
《普通高中数学课程标准（实验）》中的必修课程内容和选修系列2内容。
数学1：集合、函数概念与基本初等函数I（指数函数、对数函数、幂函数）。
数学2：立体几何初步、平面解析几何初步。
数学3：算法初步、统计、概率。
数学4：基本初等函数II（三角函数）、平面上的向量、三角恒等变换。
数学5：解三角形、数列、不等式。
选修2－1：常用逻辑用语、圆锥曲线与方程、空间中的向量（简称空间向量）与立体几何。
选修2－2：导数及其应用、推理与证明、数系的扩充与复数的引入。
选修2－3：计数原理、统计案例、概率。
2.具体考试内容及其要求（略）
（四）考试形式与试卷结构
1.考试形式
考试采用闭卷、笔试形式。试卷满分为150分，考试时间为120分钟。考试不允许使用计算器。
2.试卷结构
试卷包括第Ⅰ卷和第Ⅱ卷。试题分选择题、填空题和解答题三种题型。
第Ⅰ卷以单项选择题题型呈现，主要考查必修内容中的基本知识和基本技能，共12题，分值为60分。
第Ⅱ卷以填空题和解答题题型出现，主要考查数学的思想、方法和能力，必修内容和选修内容都在考查之列。填空题只要求直接填写结果，不必写出计算过程或推证过程，填空题共4题，分值为16分。解答题包括计算题、证明题和应用题等，解答应写出文字说明、演算步骤或推证过程，解答题共6题，分值为74分。
试卷包括容易题、中等难度题和难题，以中等难度题为主。
（五）题型示例
1.选择题
（1）设
、
为两个非空实数集合，定义集合
，则
中元素的个数是
A．9 B．8 C．7 D．6
本小题主要考查集合概念的理解，以及对知识的迁移能力，对基本知识的掌握要准确、牢固.
解答：B
从课堂教学入手，激发学生创新思维初探
现代社会对语文教育提出了新的挑战和要求。全球化、信息化和高科技发展的趋势要求现代公民具备良好的人文素养、创新精神、开放的视野、合作的意识以及搜集、处理、交流信息的能力。阅读是搜集、处理信息、认识世界、发展思维、获得审美体验的重要途径。阅读教学是学生、教师、文本之间对话的过程，学生是学习和发展的主体。人们对语文材料的反应是多元的，在阅读过程中应尊重学生的独特体验，尊重他们多样的阅读趣味，引导学生感悟和吸收作品的精神，丰富其精神世界。
地理教材“四环节”编裁方式初探
高考数学第一轮复习--归纳―猜想―证明
（一）知识归纳：
由事物的部分特殊事例猜想出事物的一般结论，这种方法人们称为“不完全归纳法”，用不完全归纳法得出的结论需要经过证明，因此全部过程可以小结为下面程序：
①计算命题取特殊值时的结论；②对这些结果进行分析，探索数据的变化规律，并猜想命题的一般结论；③证明所猜想的结论.
（二）学习要点：
在中学数学内，“归纳―猜想―证明”的推理方法一般只局限于数列的内容，而且与正整数n有关，其它内容中很少有要求，解决问题时要注意以下几点，①计算特例时，不仅仅是简单的算数过程，有时要通过计算过程发现数据的变化规律；②猜想必须准确，绝对不能猜错，否则将徒劳无功；③如果猜想出来的结论与正整数n有关，一般用数学归纳法证明.
【例1】已知数列
满足关系式
N+），
（Ⅰ）用a表法a2，a3，a4；
（Ⅱ）猜想an的表达式（用a和n表示），并证明你的结论.
[解析]（Ⅰ）
（Ⅱ）（
） 猜想
下面用数学归纳法证明：
1°．当n=1时，
当n=1结论正确；
2°．假设当n=k时结论正确，即
，
∴当n=k+1时 
=
当n=k+1时结论也正确；
根据1°与2°命题对一切n∈N*都正确.
[评析]“归纳―猜想―证明”是解决数列的某些问题的一种重要方法，对于一些变换技巧比较高的问题，如果能通过这种方法解答成功，则解答过程比较其它方法更容易.
【例2】已知数列满足：
计算a2，a3，a4的值，由此归纳出an的公式，并证明你的结论.
[解析]很容易算出a2=5，a3=16，a4=44，但由此猜想出结论显然是非常困难的，下面作一些探索.
∵a2=2 a1+3×2°=2×1+3×2°，
a3=2（2×1+3×2°）+3×21=22×1+2×3×21，
a4=2（22×1+2×3×21）+3×22=23×1+3×3×22；
猜想an=2n－1+（n－1）×3×2n－2=2n－2（3n－1）；
用数学归纳法证明：
1°．当n=1时，a1=2－1×=1，结论正确；
2°．假设n=k时，ak=2k－2（3k－1）正确，
∴当n=k+1时，
=
结论正确；
由1°、2°知对n∈N*有
[评析]如果计算出来的数据很难猜出结论时，应考虑整理计算过程，探索数据的变化规律，看看能否猜想成功.
【例3】已知等差数列中，a2=8，前10项的和S10=185，
（Ⅰ）求数列的通项公式an；
（Ⅱ）若从数列中依次取出第2，4，8，…，2n，…项，按原来的顺序排成一个新数列，试求新数列的前n项和An；
（Ⅲ）设 Bn=n（5+3 an），试比较An和Bn的大小，并说明理由.
[解析]（Ⅰ）设公差为d，∴
（Ⅱ）设新数列为
，∴
∴An=3×（2+22+23+…+2n）+2n=3×2n＋1+2n－6；
（Ⅲ）∵
A4=3×32+2=98，A5=3×64+4=196，A6=3×128+6=390，A7=3×256+8=776，……
而B1=20，B2=58，B3=114，B4=188，B5=280，B6=390，B7=518，……
①当n=1，2，3，4，5时，Bn>An；
②当n=6时，B6=A6；
③当n≥7，且n∈N*时，猜想An>Bn，用数学归纳法证明：
1°．当n=7时，A7=766>518=B7，结论正确；
2°．假设当n=k（k≥7）时，Ak>Bk，即3×2k+1+2k－6>9k2+11k
2k+1>3k2+3k+2，
∴n=k+1时，
=6×2 k+2－9k2－27k－24
=6×[2 k+1－（3k2+3k+2）]+6×（3k2+3k+2）－9k2－27k－24
=6×[2 k+1－（3k2+3k+2）]+9k2－9k－12
>9k2－9k－12=9k（k－1）－12≥9×7×（7－1）－12>0
∴Ak+1>Bk+1，即n=k+1时，结论也正确；
根据1°、2°知当n≥7且n∈N*时，有An>Bn.
[评析]从上面例子可以看出，归纳猜想不仅仅是要有对数据的观察能力，还需要有一定的经验，否则很难作出上述准确的猜想.
【例4】已知数列满足：
问是否存在常数p、q，使得对一切n∈N*都有
并说明理由.
[解析] ∵
设存在这样的常数p、q，
∴
由此猜想，对n∈N*，有
下面用数学归纳法证明这个结论：
1°．当n=1时，
，结论正确；
2°．假设当n=k时结论正确，即
∴当n=k+1时，
∴当n=k+1时结论正确，故当n∈N*时，
成立.
[评析]例4是一类探索题型，由条件直接推出结论是非常困难的，通过归纳―猜想―证明的方法，难度不大.
《训练题》
高一年级第一学期期中考试语文试卷