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上海市奉贤区2009年4月高考模拟考试

地理试题

(完卷时间120分钟,满分150分)

 

考生注意:

本试卷全卷包括两大题:第一大题为选择题,请把答案写在下面的表格中。第二大题为综合分析题,所有考生应完成共同部分试题;选择部分分为A、B两组,两组试题分值相同;A组试题适合选择“地球和月球;自然资源与自然灾害”模块的考生,B组试题适合选择“地域分异规律;旅游资源”模块的考生;考生任选一组答题,但不能交叉答题,如果考生交叉答题,只对A组的应答进行评分。

试题详情

上海市奉贤区2009年4月高考模拟考试

历史试题

 

考生注意:

1.本考试设试卷和答题纸两部分,所有答题必须写在答题纸上;做在试卷上一律不得分;答题纸与试卷上的试题编号一一对应,答题时应特别注意,不能错位。

2.考试时间120分钟,试卷满分150分。

试题详情

上海市奉贤区2009年4月高考模拟考试

英语试题

 

本试卷分为第I卷(第1-9页)和第II卷(第10页)两部分。全卷共10页。

满分150分。考试时间120分钟。

 

考生注意:

1. 答第I卷前,考生务必在答题卡和答题纸上用钢笔或圆珠笔清楚填写姓名、准考证号(区统一编号,9位),并用铅笔在答题卡的相应位置上正确涂写准考证号。

2. 第I卷(1―16小题,25―84小题)由机器阅卷,答案必须全部涂写在答题卡上。考生应将代表正确答案的小方格用铅笔涂黑。注意试题题号和答题卡编号 一 一对应,不能错位。答案需要更改时,必须将原选项用橡皮擦去,重新选择。答案不能写在试卷上,写在试卷上一律不给分。

3. 第I卷中的17―24小题和第II卷的试题,其答案写在答题纸上,如写在试卷上则无效(须用钢笔或圆珠书写,铅笔答题无效)。

 

第I卷   (105分)

 

I. Listening Comprehension

Section A

Directions: In Section A.you will hear ten short conversations between two speakers.At the end of each conversation, a question will be asked about what was said.The conversations and the questions will be spoken only once.After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.

1. A.1280 yuan.?  B.640 yuan.     C.1920 yuan.   D.200 yuan

2.  A.At the post office.                  B.At the bookstore.

C.At the bank.                       D.At the supermarket

3. A.He often gets lost.              B.He’s surprised he couldn’t find the hotel.

    C.He doesn’t know where the hotel is.                D.He’d rather go to another hotel.

 

4. A.To buy a coat.                  B.To try on a new coat.   

  C.To lend money to the woman.     D.To borrow some money from the woman

5. A.Her cook.      B.Her waiter.    C.Her friend.    D.Her husband.

6. A.The woman hadn’t sent a thank-you note.

  B.The woman hadn’t noticed him.

  C.The woman hadn’t got his note.        

  D.The woman had left him a note.

7. A.In the office.                  B.In the dinning hall.

    C.At home.                        D.In the lab.

8. A.He attended the meeting.       B.He was late for the meeting.

  C.He was delayed by the fog.                        D.He didn’t attend the meeting.

9. A.Italian        B.German         C.Chinese        D.Japanese  

10.A.On Tuesday     B.On Friday      C.On Monday      D.On Thursday 

Section B Passages

    Directions: In section B, you will hear two short passages, and you will be asked three questions on each of the passages.The passages will be read twice but the questions will be spoken only once.When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.

    Questions 11 through 13 are based on the following passage.

11.A.Money                            B.Working experience

   C.Social experience                                  D.Reward from parents

12.A.servers, cashiers, lifeguards                      B.waiters, lifeguards, guides

   C.servers, cashiers, guides                          D.waiters, lifeguards, cashiers

13.A.Formal qualification             B.Imagination and passion     

   C.Working experiences             D.Rich knowledge on computers

Questions 14 through 16 are based on the following passage.

14.A.heart disease      B.cancer                       C.tuberculosis      D.malaria

15.A.27 million        B.17 million                    C.12 million        D.7 million

16.A.Environment pollution           B.High fat diets    

C.Less physical activity                             D.Smoking cigarettes

Section C Longer Conversations

    Directions: In section C, you will hear two longer conversations.The conversations will be read twice.After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard.

Blanks 17 through 20 are based on the following conversation

 

 

 

                                 At the Tailor’s

  

The woman wants to have some     17     changed.Her son’s trousers will be     18     to 42 inches and her dress will be redone according to the     19      made by the tailor himself.And she will collect her clothes on 23rd     20     .

    Complete the form.  Write ONE WORD for each answer.

 

    Blanks 21 through 24 are based on the following conversation

Travel Arrangements

 

What does the woman want to do?                              Make     21     .

What is the flight number for the second half of his journey?         Flight    22     .

What kind of food does the man order?                          A     23     .

When does he arrive in New York?                             At     24     .

    Complete the form.  Write NO MORE THAN THREE WORDS for each answer.

II.Grammar and Vocabulary

Section  A

    Directions: Beneath each of the following sentences there are four choices marked A, B.C and D.Choose the one answer that best completes the sentence.

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A.to             B.with           C.on             D.in

26.The doctor says you__________ stay at home and rest as much as possible if you want a quick recovery

    A.need           B.should         C.may            D.can

27.During the journey, the boys and girls entertained __________ with songs and games.

A.himself        B.herself        C.itself         D.themselves

28.Don’t disturb me.I __________an important report.

A.wrote          B.write          C.will write     D.am writing

29.The hijackers were arrested and didn’t know where they __________ to.

    A.were being taken                 B.are taken      C.will be taken  D.would take

30.No one was sure __________ Ron would come to the party or not.

    A.what time      B.whether        C.that           D.if

31.I don’t think you should complain ________, of course, you are happy with the way things are.

    A.unless         B.if             C.although       D.because

32.Actually it was not until 4 June __________ the two foreign teachers arrived at our school.

    A.where          B.when           C.that           D.which

33.I can't imagine Peter__________ there by bike because he seldom uses his bike.

    A.to go          B.gone           C.going          D.goes

34.The teacher expected Sarah __________hard, but her final school report greatly disappointed her teacher.

    A.studying       B.studied        C.study          D.to study

35.I talked to the girl __________car had broken down in front of the shop.

    A.who            B.her            C.whose          D.which

36.Getting a new computer system __________ at the school has become a high priority.

    A.installed      B.installing     C.to be installed              D.having installed

37.Only when you have obtained sufficient data __________ come to a sound conclusion.

A.can you        B.you can        C.would you      D.you would

38.There is some evidence __________ a small amount of alcohol is good for you.

    A.which          B.what           C.whether        D.that

39.__________bilingual education in one’s early childhood is getting more and more popular in Shanghai now.

  A.Receive          B.Receiving      C.Received       D.Having received

40.No matter __________, you must keep trying.

    A.how difficult does it seem       B.however it seems difficult

    C.however seems it difficult       D.how difficult it seems

Section B  (9%)

Directions: Complete the following passage by using the words in the box.Each word can

only be used onceNote there in one word more than you need

A.deadly       B.tested     C .identified     D.activity      AB.independently

AC.resistance  AD.treat     BC.lifelong     BD.highly       CD.seasonal

Evidence is increasing that common influenza viruses are becoming resistant to the main drug used to treat them.The drug is oseltamivir, also known as Tamiflu.

The most common    41    flu virus found in the United States this year is type A (H1N1).During the last flu season, twelve percent of H1N1 viruses    42   in the United States were resistant to Tamiflu.This year, researchers at the Centers for Disease Control and Prevention say    43    is close to 100 percent.Still, they say early reports show that flu   44    has been low so far this year.

The research team is reporting its findings in the Journal of the American Medical Association.Alicia Fry led the team.Doctor Fry says it is better to prevent the flu than to have to    45    it.And the best form of prevention, she says, is getting vaccinated (进行预防接种) each year against influenza.

Viruses change, or mutate, (变异) so flu vaccines must be reformulated each year to target the most common threats.

But last week, two teams working    46    reported a discovery that could help lead to a universal flu vaccine.The hope is to develop a vaccine that could give    47    protection against a majority of flu viruses, including bird flu.

The scientists    48    a protein that inactivates the flu virus before it can mutate.

One team used an antibody found in blood donated by an individual.Scientist Ian Wilson at the Scripps Research Institute in California says the antibodies proved    49    effective in laboratory mice exposed to deadly levels of virus.He says they gave complete protection .

III.Reading Comprehension

Section A

    Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.

 

  Inequality between men and women results in poorer health for children and greater poverty for the family,    50    a new study.The UN agency Unicef found that in places where women are excluded from family   51   , children are more   52   to suffer from malnutrition (营养不良).There would be 13 million    53    malnourished children in South Asia if women had an    54    say in the family, Unicef said.

   Unicef    55    family decision-making in 30 countries around the world.Their chief finding is that    56    between men and women is vital to   57    poverty and improving health, especially that of children, in developing countries.The    58    are contained in the agency's latest report.This report   59    to a greater lack of    60    for girls and women in education and work which contributes to inferior position and poverty.Where men control the household, less money is spent on health care and food for the family, which    61    poorer health for the children.

    An increase in    62    and income-earning opportunities for women would increase their    63    power, the report said.For example, the agency found that    64    has the greater share of household income and property decides whether those resources will be used for family needs.

 

50.A.devoted to

B.according to

C.thanks to 

D.with regard to

51.A.decisions 

B.agreement    

C.circle  

D.history

52.A.vital

B.used

C.possible 

D.likely

53.A.more

B.few 

C.fewer

D.least

54.A.equal

B.right

C.superior

D.smart

55.A.found

B.considered 

C.released

D.surveyed

56.A.relationship    

B.equality

C.income

D.friendship

57.A.growing 

B.urban

C.local

D.reducing

58.A.conclusions

B.reasons

C.keys

D.notes

59.A.points

B.indicates

C.shows

D.suggests

60.A.money

B.care 

C.opportunities

D.help

61.A.costs

B.makes

C.cares for

D.results in

62.A.health

B.employment

C.wealth

D.movement

63.A.female

B.strong

C.household

D.social

64.A.whatever

B.whoever

C.whichever

D.however

Section B

    Directions: Read the following four passages.Each passage is followed by several questions or unfinished statements.For each of them there are four choices marked A, B, C and D.Choose the one that fits best according to the information given in the passage you have just read.

 

A

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But as luck would have it for the frightened wild ducklings that had lost their mother, the dog that helped them out of the bushes had only their best interests at heart.

Duke, a one-year-old German shepherd, found the two ducklings hidden in long grass next to his owner’s workplace on the edge of the Thronybank Industrial Estate in Dalkeith.

   And despite the natural instincts of a hunter, the dog gently took them in its mouth and carried them back to his blanket, putting them down where it was warm and even washing them clean with his tongue.

The ducklings will be looked after by staff at the center until they are old enough to be released into the wild.

“This dog is a modern day Rin Tin Tin,( The world’s most famous German shepherd dog) and to pick them up in his mouth without harming them is quite something.“To them try and wash them is just amazing behavior.” said one of the staff.

65.The underlined part in the first paragraph means ___________.

    A.they used up their time completely.

    B.they will become the food of the dog.

    C.they will be saved by the dog.

    D.they have finished their daily job.

66.Duke is the ________ of the German shepherd.

A.name           B.owner          C.friend         D.trainer

67.From the sentence “And despite the natural instincts of a hunter,…” in fourth paragraph we learned the fact that ________.

   A.Dogs are friendly to their preys                   B.Dogs change their appetite

   C.Dogs are born hunter                               D.Dogs become vegetarian

 

68.According to the last two paragraphs we know that it is ________ for a hunter like dog to save and even lick ducklings clean.

    A.common      B.impossible      C.interesting         D.miraculous 

B

You may read the questions first.

    HOW TO BOOK

  Booking opens for Beckett Shorts on 8 September.

  BY TELEPHONE

  For credit card bookings.Calls are answered.

  BOX OFFICE

  01789 295623 9a.m.-8.p.m.(Mon.-Sat.)

  0541 541051(24hours,7days, no booking charge).

  BY FAX

  For credit card bookings.Please allow at least 48 hours for reply, if required.

  BOX OFFICE

  01789 261974 or 01862 387765

  BY POST

Please enclose(附上) a cheque or credit card details together with an SAE or add 50p to the total amount to cover postage.Please send to the Box    Office,RST,Stratford-upon-Avon,CV376BB.

  Booking opens for all other plays on19 September.

  IN PERSON

  BOX OFFICE

  RST hall, 9:30a.m.-8p.m.(Mon.-Sat.)

  (6p.m.when theatres are closed).

  OVER SEAS BOOKING

  The easiest method of payment is by credit card.

  You can also pay by: Euro cheque (up to£500) you're your card number written on the back.

  PAYING FOR YOUR TICKETS

  CREDIT CARDS

  We accept Visa, Master Card, American Express and Diners Club.Please give the card number, name and address of card holder.

CHEQUES

Cheques and postal orders should be payable to: Royal Shakespeare Theatre.

69.In which of the following ways of booking does one probably have to pay extra money?

  A.In person.    B.By telephone. C.By fax.       D.By post.

 

70.One has to wait for 2 days or longer for a reply if he/she pays______.

  A.in person      B. by telephone                    C.by fax     D.by post

71.What is a useful number to call at 11 a.m.Sunday?

   A.01789 295623                    B.0541 541051

  C.01789 261174                     D.01862 387665

C

Do you find getting up in the morning so difficult that it’s painful? This might be called laziness, but Dr.Kleitman has a new explanation.He has proved that everyone has a daily energy cycle.
    During the hours when you labor through your work you may say that you’re “hot”.That’s true.The time of day when you feel most energetic is when your cycle of body temperature is at its peak.For some people the peak comes during the forenoon.For others it comes in the afternoon or evening.No one has discovered why this is so, but it leads to such familiar shouting as: “Get up, John! You’ll be late for work again!” The possible explanation to the trouble is that John is at his temperature-and-energy peak in the evening.Much family quarrelling ends when husbands and wives realize what these energy cycles mean, and which cycle each member of the family has.
    You can’t change your energy cycle, but you can learn to make your life fit it better.Habit can help, Dr.Kleitman believes.Maybe you’re sleepy in the evening but feel you must stay up late anyway.Counteract your cycle to some extent by habitually staying up later than you want to.If your energy is low in the morning, but you have an important job to do early in the day, rise before your usual hour.This won’t change your cycle, but you’ll get up steam and work better at your low point.
    Get off to a slow start which saves your energy.Get up with a leisurely yawn and stretch.Sit on the edge of the bed a minute before putting your feet on the floor.Avoid the troublesome search for clean clothes by laying them out the night before.Whenever possible, do routine work in the afternoon and save tasks requiring more energy or concentration for your sharper hours.
72.If a person finds getting up early a problem, most probably__________

   A.he is a lazy person                                 B.he refuses to follow his own energy cycle

   C.he is not sure when his energy is low               D.he is at his peak in the afternoon or evening

73.Which of the following may lead to family quarrels according to the passage?

   A.Unawareness of energy cycles.        

                  B.Familiar shouting.
C.A change in a family member’s energy cycle.

D.Attempts to control the energy cycle of other family members.

74.If one wants to work more efficiently at his low point in the morning, he should_________

                  A.change his energy cycle               B.overcome his laziness
C.get up earlier than usual               D.go to bed earlier

 

75.Which of the following statements is NOT TRUE?

A.Getting off to work with a minimum effort helps save one’s energy
B.Dr.Kletman explains why people reach their peaks at different hours of day.
C.Habit helps a person adapt to his own energy cycle
D.Children have energy cycles, too.

D

Dirty Britain

Before the grass has thickened on the roadside and leaves have started growing on the trees is a perfect time to look around and see just how dirty Britain has become.The pavements are stained with chewing gum that has been spat out and the gutters(the low part at the edge of a road where water collects and flows away:) are full of thrown away fast food cartons.Years ago I remember traveling abroad and being saddened by the plastic bags, waste bottles at the edge of every road.Nowadays, Britain seems to look at least as bad.What has gone wrong?

   The problem is that the rubbish created by our increasingly mobile lives lasts a lot longer than before.If it is not cleared up and properly thrown away, it stays in the bushes for years; a

semi-permanent reminder of what a shabby little country we have now.Firstly, it is estimated that 10 billion plastic bags have been given to shoppers.These will take anything from 100 to 1,000 years to rot.However, it is not as if there is no solution to this.A few years ago, the Irish government introduced a tax on non-recyclable carrier bags and in three months reduced their use by 90%.When he was a minister, Michael Meacher attempted to introduce a similar arrangement in Britain.The plastics industry protested, of course.However, they need not have bothered; the idea was killed before it could draw breath, leaving supermarkets free to give away plastic bags.

   What is clearly necessary right now is some sort of combined initiative, both individual and collective, before it is too late.The alternative is to continue sliding downhill until we have a

country that looks like a vast municipal rubbish tip.We may well be at the tipping point.Yet we know that people respond to their environment.If things around them are clean and tidy, people behave cleanly and tidily.If they are surrounded by dirt, they behave dirtily.Now, much of Britain looks pretty dirty.What will it look like in five years?

76.The writer says that it is a good time to see Britain before the trees have leaves because_______.

    A.Britain looks perfect.          B.you can see Britain at its dirtiest.

C.you can see how dirty Britain is now.             D.the grass has thickened on the roadside.

77.According to the writer, the major problem is that __________.

A.rubbish can not be cleared up                           B.rubbish lasts longer than it used to

C.our society is increasingly mobile                   D.people in Britain are dirty

 

 

 

78.What can be learned about Michael Meacher?

A.He followed the Irish example with a tax on plastic bags.

B.He failed in his attempt to introduce a tax on plastic bags.

C.His attempt to follow the Irish example with a tax on plastic bags was welcomed.

D.He had problems with the plastics industry who weren’t bothered about the tax.

79.What does the writer state in the last paragraph?

A.It’s too late for people to take immediate action.

B.There is more than one solution to the problem.

C.Britain will become an extremely dirty country in five years.

D.People tend to behave according to what they see around them.

Section C

Directions:  Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.

E

A.Popularity of Science Fiction
B.A Fairly New Development
C.Classics of Science Fiction
D.Difficulty in Keeping ahead of Scientific Adventure
E.The Origin of Science Fiction
F.Themes of Modern Science Fiction

80.        

 

Amongst the most popular books being written today are those which are usually classified as science fiction.Hundreds of titles are published every year and are read by all kinds of people.Furthermore, some of the most successful films of recent years have been based on science fiction stories.

81.     

It is often thought that science fiction is a fairly new development in literature, but its ancestors can be found in books written hundreds of years ago.These books were often concerned with the presentation of some form of ideal society, a theme which is still often found in modern stories.

82.        

Most of the classics of science fiction, however, have been written within the last hundred years.Books by writers such as Jules Verne and H.G.Wells, to mention just two well-known authors, have been translated into many languages.

83.         

Modern science fiction writers don't write about men from Mars or space adventure stories.They   are more interested in predicting the results of technical developments on society and the human mind; or in imagining future worlds which are a reflection of the world which we live in now.

Because of this their writing has obvious political undertones.

84.        

In an age where science fact frequently overtakes science fiction, the writers may find it difficult to keep ahead of scientific advances.Those who are sufficiently clear-sighted to see the way we are going, however, may provide a valuable lesson on how to deal with the problems which society will inevitably face as it tries to master its new technology.

 

第Ⅱ卷 (45分)

Ⅰ.Translation 

Directions: Translate the following sentences into English, using the words given in the brackets.

1.对我们来说,坚持这项规定是很重要的。(It)

2.如果对此还有疑问,就请举手.            (who)

3.由于公众的要求,电视台又把这部电视连续剧重播了一遍。(demand)

4.整个上午他都在忙于写那篇故事,只是偶尔停下来喝杯茶。(break off)

5.虽然她以前从未接受过电视采访,但她表现得游刃有余。(interview)

6.在经济危机之中政府应该采取特殊对策,否则失业人数将持续增长。(unless)

Ⅱ.Guided Writing

    Directions: Write an English composition in 120 - 150 words according to the instructions given below in Chinese.

    有一批外国中学生正好在端午节期间到你校参观访问。你被要求去接待这批中学生,并向他们介绍中国的端午节文化。请你现在写好一篇英语讲稿,内容必须包括端午节的传统文化和端午节的传统美食等。 

    讲稿的开头和结尾已经为你写好。

 

 

Boys and Girls,

    Today I feel it a great honor to be invited to introduce a Chinese holiday to you…

 

 

 

 

 

 

 

That’s the general introduction of Dragon Boat Festival.If you have any questions, you are free to ask. Thank you very much.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

试题详情

上海市奉贤区2009年4月高考模拟考试

生物试题

 

本试卷分为第Ⅰ卷和第Ⅱ卷两部分,满分150分。考试时间为120分钟。答题前,考生务必在答题纸上用钢笔或圆珠笔清楚填写姓名、准考证号。答案必须全部写在答题纸上 ,写在试卷上一律不给分。

 

第I卷(共60分)

 

试题详情

上海市奉贤区2009年4月高考模拟考试

数学试题(理)

 

考生注意:

1.答卷前,考生务必在答题纸上将姓名、高考准考证号填写清楚,并在规定的区域内贴上条形码.

2.本试卷共有21道试题,满分150分.考试时间120分钟.

试题详情

上海市奉贤区2009年4月高考模拟考试

物理试题

 

考生注意:

1.答卷前,考生务必将座位号、班级、姓名、学校等填写清楚。

2.本试卷共8页,满分150分。考试时间120分钟。

3.考生应用钢笔或圆珠笔将答案直接写在试卷上。计算题要求有必要的文字说明、方程式和重要的演算步骤,只写出最后的答案而未写出必要演算过程的,不能得分。有关物理量的数值计算问题,答案中必须明确写出数值和单位。

4.本卷中没有特别说明,g取10m/s2

试题详情

上海市奉贤区2009年4月高考模拟考试

化学试题

 

 

本试卷分第I卷(选择题)和第Ⅱ卷两部分。满分150分,考试时间120分钟。

可能用到的相对原子质量:

H―1  C―12  O―16  N―14  S―32  Cl―35.5  Na―23  Fe―56

考生注意:

请将选择题的答案填在第Ⅰ卷的相应的空格中,第Ⅱ卷直接答在试卷上

 

第I卷(共66分)

试题详情

2009海淀区高三数学查漏补缺试题

 

说明:

查漏补缺题是在海淀的五次统练基础上的补充,绝非猜题押宝,每道题的选择都有其选题意图,有的侧重知识、有的侧重方法、有的侧重题型、有的侧重选题内容,请老师根据选题意图,有所选择、有所侧重地训练学生.

最后阶段的复习,应是梳理知识、梳理解题方法的基础上查漏补缺.

 

三角函数

1.在中,所对的边长分别是.满足.

   (1)求的大小;

   (2)求的最大值.

命题意图:

       在已知边角关系中既有边又有角的等式,一般要进行边角统一,边化角常用正弦定理,角化边常用正弦、余弦定理;熟练掌握的变形;另外对于函数的图象和性质要掌握好;已知三角函数值求角时,一定要注意角的取值范围,注意细节.

 

 

 

 

 

 

 

 

 

 

2.已知.

   (1)求的对称轴方程;

   (2)将函数的图象按向量平移后得到函数的图象,若的图象关于点对称,求的最小值.

命题意图:

       对于三角公式,重中之重是倍角公式、降幂公式及辅助角公式.如果三角函数解答题要求单调性、对称性、周期等,一般暗示着“化一”的过程,即通过恒等变形把函数化为;另外会从“数”和“形”两方面来分析这个函数的性质和几何特点,即以图引导思维;注意平移问题的处理,如函数平移,按向量平移,曲线的平移问题.

提示:要求学生记清诱导公式,“特殊角”的三角函数值.

 

 

 

 

 

 

数列

1.设数列的前项和为,且满足.

   (Ⅰ)求证:数列为等比数列;

   (Ⅱ)求通项公式

   (Ⅲ)设,求证:.

命题意图:

数列既是高中数学的重点,也是难点.掌握好等差、等比数列的通项公式和前项和公式,能用概念判断是否为等差、等比数列.常见考点:的关系(注意讨论);;递推――猜想――数学归纳法证明;迭加;迭乘;裂项求和;错位相减等;数列不等式证明中注意放缩法的运用.

 

 

 

 

 

 

 

2.无穷数列满足:为常数).

   (1)若且数列为等比数列,求

   (2)已知,若,求

   (3)若存在正整数,使得当时,有,求证:存在正整数,使得当时,有

命题意图:

       数列中涉及恒成立或存在性的问题,往往和最大(小)值及单调性有关,常见做法是用进行作差、作商、比较或构造函数来判断;通过本题的练习,希望学生能根据题目的条件和结论获取信息,抓住特点,进行代数推理论证;本题第(3)问也可用反证法说明,解题中要重视它的运用.

 

 

 

 

 

 

 

 

 

 

 

立体几何

1.在直平行六面体中,是菱形,.

   (1)求证:平面

   (2)求证:平面平面

   (3)求直线与平面所成角的大小.

 

命题意图:

       熟悉立体几何中常见问题及处理方法,要求学生敏锐把握所给图形特征,制定合理的解决问题策略.立体几何主要是两种位置关系(平行、垂直),两个度量性质(夹角、距离).解决问题的方法也有两种:几何方法和向量方法.两种方法各有优缺点,前者难在“找”和“作”的技巧性,后者难在建系和计算上,究竟用哪种方法,到时根据自己的情况决断.

 

 

 

 

 

 

 

 

 

 

2.如图,二面角为直二面角,∠PCB=90°, ∠ACB=90°,PM∥BC,直线AM与直线PC所成的角为60°,又AC=1,BC=2,PM=1.     

   (Ⅰ)求证:AC⊥BM;

   (Ⅱ)求二面角M-AB-C的正切值;

   (III)求点P到平面ABM的距离.

命题意图:

用综合法解答立体几何问题,要注意步骤的规范性,如求二面角的大小,点到面的距离,要先证明,再计算.用向量方法解答,要注意两向量的夹角与所求角的关系,即相等、互补、互余等,还要注意所求角的范围,如斜线和平面所成角一定是锐角;要注意“体积法”在处理较难的角与距离问题中的灵活运用.

注意:立体几何重在通性、通法的熟练,逻辑的严谨,计算准确上.

 

 

 

 

 

 

 

 

 

 

 

概率

1.理:某自助银行共有4台ATM机,在某一时刻A、B、C、D四台ATM机被占用的概率分别为,设某一时刻这家自助银行被占用的ATM机的台数为

   (Ⅰ)如果某客户只能使用A或B型号的ATM机,求该客户需要等待的概率;

   (Ⅱ)求至多有三台ATM机被占用的概率;

   (Ⅲ)求的分布列和数学期望.

命题意图:

20090521

 

 

 

 

 

 

 

2.文:某自助银行共有4台ATM机,在某一时刻A、B、C、D四台ATM机被占用的概率分别为.

   (Ⅰ)如果某客户只能使用A或B型号的ATM机,求该客户需要等待的概率;

   (Ⅱ)求至多有三台ATM机被占用的概率;

   (Ⅲ)求恰有两台ATM机被占用的概率.

命题意图:

       概率主要考查两个公式(加法、乘法公式)、两个模型(古典概型、贝努里概型).

但要注意答题的规范性,不要只列一个算术式子来解答;注意两个公式适用的条件,互斥和独立;注意两个模型的辨别;对于“至多”,“至少”问题,常用对立事件计算.

 

 

 

 

 

 

 

 

3.小明一家三口都会下棋.在假期里的每一天,父母都交替与小明下三盘棋,已知小明胜父亲的概率是,胜母亲的概率是.

   (1)如果小明与父亲先下,求小明恰胜一盘的概率;

   (2)父母与小明约定,只要他在三盘中能至少连胜两盘,就给他奖品,那么小明为了获胜希望更大,他应该先与父亲下,还是先与母亲下?请用计算说明理由.

命题意图:

       用数据说理和决策的意识.通过合理的分类、恰当的分步把复杂事件用相对简单(或已知概率)事件表示的能力,尤其是对(2)中                                划线部分的理解;还要注意概率和不等式等其它数学知识的交汇.

 

 

 

 

 

 

解析几何

1.已知动点P到直线的距离是到定点()的距离的倍.

   (Ⅰ)求动点P的轨迹方程;

   (Ⅱ)如果直线与P点的轨迹有两个交点A、B,求弦AB的垂直平分线在y轴上的截距的取值范围.

命题意图:

对解析几何两大基本问题:①求轨迹;②通过方程研究曲线性质进行再梳理.轨迹方程的求法一般分为直接法和间接法.直接法的步骤:建系设点,找等量关系,列方程,化简,检验;间接法的关键是找参数.如果明确说直线与圆锥曲线有两个不同的交点,一般是考查判别式与根系关系的应用.取值范围一般是函数的值域或不等式(组)的解集.

 

 

 

 

2.已知点分别是直线的动点(轴的同侧),且的面积为,点满足.

   (1)试求点的轨迹的方程;

   (2)已知,过作直线交轨迹于两点,若,试求的面积.

   (3)理:已知,矩形的两个顶点均在曲线上,试求矩形 面积的最小值.

命题意图:

本题抓住解析几何重点研究问题设问,熟悉巩固通性通法,典型几何条件如长、角等的代数转换方法,让学生理解解析几何的基本思想与策略.解析几何要把握好条件的等价翻译,理顺各量间的关系,计算准确,进而得出正确结论.取值范围、最值、存在性、定值等问题是高中数学的重点题型,要重视.最值问题一般要建立函数关系(求哪个量的最值,这个量一般是因变量,关键是找到主动变化的量,即自变量),并且指出函数的定义域(定义域往往和判别式有关).解析几何考最值要注意均值定理、导数和二次函数的运用.

 

 

 

 

 

函数、导数

1.设,曲线y = f(x)在点(2,f(2))处的切线方程为y = x+3.

   (1)求f(x)的解析式;

   (2)若x∈[2,3]时,f(x)≥bx恒成立,求实数b的取值范围.

命题意图:

       切线方程要注意“在点”和“过点”的区别;恒成立问题,存在性问题一般和最值、值域、单调性密切相关,当不等式两端都为变量时,一般要先分离变量.

 

 

 

 

 

 

2.(理)已知函数R)

   (1)求函数的单调区间;

   (2)求函数上的最大值和最小值.

命题意图:

       导数的应用,重点是单调性、极值、最值问题(或方程、不等式等可转化为最值的问题),要注意通性通法的落实.如果有参数,常常需要分类讨论:提取常数系数时,要注意系数是否可能为零;导数为零的的值有多个时,要注意它们的大小关系是否是确定的等.

 

 

 

 

 

 

 

2.(文)设函数

   (Ⅰ)求的最小值

   (Ⅱ)若恒成立,求实数的取值范围.

      

命题意图:

       使文科学生熟悉导数的基本应用,巩固处理此类问题的通性通法.本题主要考查函数的单调性、极值以及函数导数的应用.

 

 

 

 

 

 

 

 

 

 

 

不等式

1.已知函数的图象关于y轴对称,且

   (I)求函数的解析式;

   (Ⅱ)解不等式

命题意图:

       引导学生复习对称性(轴对称、中心对称)问题的处理方法.解不等式的方法可以概括为“化归”的过程,即转化为有理不等式.含有绝对值的不等式,就是要根据绝对值的意义去掉绝对值符号,根据不同情况进行分类讨论,但要分清楚各个步骤是求交集还是并集.

 

 

 

 

 

 

 

 

2.已知不等式的解集为,不等式的解集为.

   (1)求集合

   (2)若,求实数的取值范围.

命题意图:

       复习简单不等式的解法,注意分式不等式的等价转化,弄清集合间的关系,注意分类讨论的思想方法.

 

 

 

 

 

 

 

 

 

 

 

 

 

试题详情

2009年高考文综火热专题(8)

 

中国古代政治史

 

【学习目标】

政治史是中国古代史的主干内容,包括中国古代历史朝代沿革、政治制度和措施、政治事件、人物、人民斗争、战争战役等知识。(1)从考查内容看,本部分突出对重要政治历史概念的内涵、重大历史事件的前因后果、重要典章制度的特点和作用、杰出历史人物的活动、重大战事的影响、民族关系等的考查。(2)从能力要求看,试题侧重考查学生掌握基础知识、基本概念的能力;解读图表、材料,把图表信息转化为文字信息,从材料中最大限度地获取有效信息的能力;运用历史知识解决问题的能力。这些,都为我们今后的复习提供了方向。

 

【学法建议】

1.综合复习整体化。(1)宏观上掌握古代政治史包含的主要内容、每一专题的发展脉络、历史事件的前因后果,并注意本专题内容与经济史、文化史的交叉复习,培养综合分析问题的能力。(2)重视历史基础知识的学习,准确记忆、正确理解历史知识的内涵,把握历史事实之间的内在联系,建立相对完整的专题知识结构,并与特定历史时期的阶级特征相联系,构成纵横交错的知识网络。如复习秦汉史,既按专题史线索把此部分内容融入古代史各个专题中,又要紧扣住“封建大一统”的特点,把握其政治、经济、文化等方面的特征,对秦汉的内容就可融会贯通了。(3)重视对重要时段重要问题的复习,形成相关的知识储备和应试能力,并运用知识迁移,把已有的知识和能力用于解决相似的问题,切实提高历史思维的质量。如分析秦亡汉兴的原因,可迁移知识透视隋亡唐兴的原因。(4)提高解题能力,即正确审题和理解题意、史论结合分析历史问题、比较和概括问题、综合处理历史材料、简洁有序地表达问题的能力。

2.专题复习主题化。即通过细化某一知识内容,学会建立知识间的纵横联系,掌握全面分析历史事件、历史人物的方法。(1)如以重要历史人物为纲,勾勒出特定时期历史发展的概貌和特征。以康熙帝的活动为例,其在政治、经济、民族关系、对外关系、科技文化方面的措施,就是清朝统治前期历史发展的缩影。进而可以把康乾盛世和文景之治、光武中兴、贞观之治、开元盛世等进行联系、比较,形成关于“封建盛世”的一般认识。(2)再如通过对王安石变法的学习,对古代史上一些重要的社会改革形成一些规律性的认识。

3.知识梳理科学化。(1)要学会按朝代梳理知识结构。遵循教材体系,适当调整章、节、子目,安排好知识的恰当位置,可以化繁为简,变乱为顺,方便学习。(2)按时期理清知识先后。(3)按类别集结相关知识。(4)按因果连接知识递变。(5)按问题挖掘完善知识。(6)按层次要点记忆知识。(7)按专题归纳同类知识。(8)按时代横连世界史知识。

 

【潜能开发】

例1  我国古代丞相一职的设立与废除,主要是    (    )

A.封建专制制度的需要    B.相权威胁皇权

C.国家统一的需要        D.君臣相互制约

 

思路分析

专制主义中央集权制度是中国封建社会最重要的政治制度。“专制主义”具体说就是皇帝个人专断独裁,集国家最高权力于一身,从决策至行使军权、政权、财权都具有专断性和随意性。为帮助皇帝处理政事,秦始皇在中央设置丞相,以后历代王朝都仿照秦朝。丞相“一人之下,万人之上”,很容易形成自己的势力圈,“相权威胁皇权”是中央集权发展中暴露出来的问题,但这只是废丞相的原因之一;“国家统一的需要”是中央集权制度的一个客观因素;“君臣相互制约”的选项与题目无关,故排除;“封建专制制度的需要”才是丞相设立与废除的本质体现。故正确选项为A。

答案A

 

思维诊断

此题容易出现的思维障碍是:考生没有理解“专制主义中央集权制度”的本质含义,把“国家统一的需要”当作废除丞相的主要原因,错选C;只看表面现象,没有揭示本质,故错选B。排除思维障碍的主要方法是:(1)对重要的历史基础知识和基本概念(如“封建专制制度”)既要理解,更要学会运用;(2)结合历史事件的特定背景进行分析;(3)分析历史事件要透过现象抓住本质。

 

例2  司马光说“(汉武帝)异于秦始皇无几矣。”又说(汉武帝)“有亡秦之失而免于亡秦之祸”。指出汉武帝在军事行动、役使百姓和加强思想控制三方面与秦始皇的类似之处。比较秦皇、汉武的这些类似之处,说明为什么会导致秦亡汉兴的不同结果。

 

思路分析

这是1995年高考试题,本题形式上是材料问答题,实际上是典型的人物比较题。主要训练考生比较和概括历史知识,把历史事件、人物放在特定的历史条件下评价的能力。审题时注意比较的范围限定在“军事行动、役使百姓和加强思想控制三方面”;答题关键是做到史论结合。“史”指的是秦皇和汉武在以上三个方面的措施,“论”指的是分析二人在不同的历史条件下,由于某些不同的动机的作用,导致他们所采取的措施类似却出现了截然不同的结果。

答案要点

汉武帝用大军北击匈奴,征发大量农民服役,“罢黜百家,独尊儒术”,与秦始皇类似。

秦始皇不顾当时国力,用几十万大军攻打匈奴,未能完全解除匈奴的威胁,这是秦亡的重要原因;西汉建立后,经长期休养生息,国力强盛,因此汉武帝得以彻底击败匈奴,使北部边郡得到安定,有利于生产发展。秦始皇为了个人享乐,征发农民修建宫室,营造陵墓,使大批农民离开土地,社会生产遭到破坏;汉武帝征发农民服役,主要是兴修水利,治理黄河,对社会经济发展有积极作用,其主观动机和客观效果均与秦始皇的滥用民力不同。汉武帝的“罢黜百家,独尊儒术”与秦始皇的“焚书坑儒”虽然都是为了加强思想控制,但前者通过思想上的统一巩固了政治上的大一统,光大了儒学;而后者则起了钳制思想、摧残文化的恶劣作用。

 

思维诊断

本题出现的主要思维障碍是:没有审清题目的限定语,罗列秦皇和汉武的所有史实,答非所问;或单纯对人物进行评价,有论无史;或评价历史,忽略客观条件,指不出两者采取类似措施但结果不同的原因。排除思维障碍的方法是:审题时把握好比较的指向“军事行动、役使百姓和加强思想控制三方面”;对类似之处的叙述不要简单地摆史实,而是要对有关三方面的“类似之处”进行比较、归纳。同时结合两者采取的措施的主观动机及当时的客观条件说明产生不同结果的原因。

 

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