2006高考数学-2006高考数学难度

1.2006年浙江高考数学最高分

2.06年江苏省高考数学平均分

3.2006上海高考数学 英语试卷和答案

4.2006年高考的数学考试大纲

5.2006年上海高考数学难度如何

2006年浙江高考数学最高分

数学150分。西北工业大学2006年在浙江文科分数线583分，理科分数线570分，文科平均分693分、最高分604分，文科平均分614分、最高分631分。西北工业大学坐落于古都西安，是一所以发展航空、航天、航海工程教育和科学研究为特色，以工、理为主，管、文、经、法协调发展的研究型、多科性和开放式的科学技术大学，隶属于工业和信息化部。是“卓越大学联盟”成员高校之一。

06年江苏省高考数学平均分

2006年单科平均分：数学98分、英语67、语文93-94（不含附加）。

平均分= 个人分数总和/人数袭。

例如：语数英3科的成绩相加后除以3就是平均分。

平均分的产生:在人们分物的时候，常常要求做到"公平"，为了公平而因而要求在"分"的时候，要"分"得"同样多"。"平均分"由此而产生。

平均分的思相:平均分与平均数不同，是分物时所用的一种思想。指在分物体的时候，要尽可能地分完，而且还要使每一份得到的数相等。

扩展资料：

2019年4月23日下午,江苏省人民政府召开了深化江苏省普通高校招生制度改革方案的测试的新闻发布会上,江苏省教育部门的主任,江苏省委教育工作委员会部长GeDaoKai做全面,宣布正式启动新一轮的江苏省高考综合改革,江苏省新一轮高考改革的主要模式为“3 + 1 + 2”。总分是750分。在国家卷中使用的语言数量。

“3”指的是语文、白数学和外语统考。“1”是指考生在物理、历史两门选修考试科目中选择了一门科目，“2”是指考生在思想政治、地理、化学、生物四门选修考试科目中选择了两门科目。

2006上海高考数学 英语试卷和答案

英语:

2006年全国普通高等学校招生统一考试

上海英语试卷

本试卷分为第1卷(第1-12页)和第Ⅱ卷(第13页)两部分。全卷共13页。满分150分。考试时间120分钟。

第Ⅰ卷 (共105分)

考生注意：

1. 答第1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、校验码. 并用铅笔在答题卡上正确涂写准考证号和校验码。

2. 第1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。第1卷中的第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。

I. Listening Comprehension

Part A Short Conversations

Directions： In Part 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. On March 2. B. On March 3. C. On March 5. D. On March 8.

2. A. At a cinema. B. At an airport. C. At a railway station. D. At a stadium.

3. A. Old castles. B. Hunting games. C. A seaside holiday. D. An adventure.

4. A. By bus. B. By underground. C. On foot. D. By bicycle.

5. A. Go to the movies. B. See a doctor. C. Get some fruit. D. Stay at home

6. A. Car seller. B. Police officer. C. Detective. D. Reporter

7. A. Funny B. crazy. C. Amused. D. P1eased

8. A. They’d better not go riding. B. Riding a bike is a great idea.

C. It’s not good riding in the rain D. They can go riding half an hour later

9. A. There won’t be enough cups left. B. They’ve got plenty of cups.

C. They’re buying what they need. D. They’ve got enough food for the picnic.

10. A. He's unable to finish his homework. B. He can’t give the woman his computer.

C. He's to remove the virus. D. He's infected with some disease.

Part B Passages

Directions: In part 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. Some engineers. B. The landlord of the pub.

C. The former employees. D. Some customers of the company.

12.A.Threeyears ago. B. Five years ago. C. Last year. D. This year.

13. A. Why a company lost its customers. B. Why a company went out of business.

C. How a company went from bad to worse. D. How a company got out of its difficult situation

Questions 14 through 16 are based on the following report.

14. A. Physics. B. chemistry. C. English Literature. D. Media Studies

15. A. More than 144,000. B. About 147,500.

C. 7.5％ of all the test takers. D. 4.6％of all the test takers.

16. A. Few students avoid harder subjects. B. Each subject has the same level of difficulty.

C. Some subjects are more difficult than others. D. Pupils are important to t11e country’s development.

Part C Longer Conversations

Directions: In Part C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in me numbered blanks with the information you have heard. Write your answers on your answer sheet.

B1anks l 7 through 20 are based on the following conversation.

Taxi Order Form

Name: John Smith

Time: 5:30 a.m., ___17___, June 8th

To: The ___18___

From: 99 Kent Street, near Carlington ___19_____

Phone Number: ____20____

Complete the form. Write ONE WORD for each answer.

Blanks 21 through 24 are based on the following conversation.

What does the woman complain about? ______21_______

What does the man suggest the woman do first? She should __22__ all the way to the right.

Why is the engineer sent up? He is __23__ for maintaining buildings.

When is it suitable for the engineer to come? ___24___ later.

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

Ⅱ. Grammar and Vocabulary

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.

25. —It’s atop secret. —Yes, I see. I will keep the secret _____ you and me

A. with B. around C. among D. between

26. Black holes ______ not be seen directly, so determining the number of them is a tough task.

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

27. Send my regards to your lovely wife when you _______ home.

A. wrote B. will write C. have written D. write

28. A typhoon swept across tiffs area with heavy rains and winds_____ strong as 113 miles per hour.

A. too B. very C. so D. as

29. I made so many changes in my composition mat only I could read it. To ____ else, it was hard to make out.

A. none B. everyone C. someone D. anyone

30. A dozen ideas were considered _____ the chief architect decided on the design of the building.

A. because B. before C. whether D. unless

31. Eugene's never willing to alter any of his opinions. It’s no use ____ with him.

A. to argue B. arguing C. argued D. having argued

32. When he turned professional at the age of 11, Mike _____ to become a world champion by his coach and parents.

A. expected B. was expecting C. was expected D. would be expected

33. Energy drinks are not allowed _____ in Australia but are brought in from New Zealand.

A. to make B. to be made C. to have been made D. to be making

34. Russ and Earl were auto mechanics _____ the same pay, but Earl had more ambition.

A. to earn B. to have earned C. earning D. earned

35. One advantage of playing the guitar is _____ it can give you a great deal of pleasure.

A. how B. why C. that D. when

36. The mother felt herself ____ cold and her hands trembled as she read the letter from the battlefield.

A. grow B. grown C. to grow D. to have grown

37. In an hour, we can travel to places _____ would have taken our ancestors days to reach.

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

38. My parents were quarrelling about me ____ I could not quite tell why.

A. since B. though C. if D. until

39. He spoke proudly of his part in the game, without mentioning ____ his teammates had done.

A. what B. which C. why D. while

40. _____ automatically the e-mail will be received by all the club members.

A. Mailed out B. Mailing out C. To be mailed out D. Having mailed out

41. You can see the stars on a clear night, but in the daytime they are _____.

A. unavoidable B. invisible C. inaccessible D. unavailable

42. When Jane began to take swimming lessons, her main _____ was the fear of water.

A. evidence B. crisis C. obstacle D. danger

43. Try not to start every sentence with “the”. _____ the beginnings of your sentences.

A. Vary B. Decorate C. Form D. Describe

44. I hope I will not be called on in class as I’m not yet _______ prepared.

A. attentively B. readily C. actively D. adequately

III. Cloze

Directions: For each blank in the following passages 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.

(A)

Several years ago, well-known writer and editor Norman Cousins became very ill. His body ached and he felt constantly tired. It was difficult for him to even __45__ around. His doctor told him that he would lose the ability to move and eventually die from the disease. He was told he had only a 1 in 500 chance of survival.

__46__ the diagnosis(诊断), Cousins was determined to overcome the disease and survive. He had always been interested in medicine and had read a book, which discussed the idea of how body chemistry and health can be damaged by emotional stress and negative __47__. The book made Cousins think about the possible __48__ of positive attitudes and emotions. He thought, “Is it possible that love, hope, faith, laughter, confidence, and the __49__ to 1ive have positive treatment value?”

He decided to concentrate on positive emotions as a way to treat some of the symptoms of his disease. In addition to his traditional medical treatment, he tried to put himself in situations that would __50__ positive emotions. “Laugh therapy” became part of his treatment. He __51__ time each day for watching comedy films, reading humorous books, and doing other activities that would draw out __52__ emotions. Within eight days of starting his ‘‘laugh therapy” program his pain began to __53__ and he was able to sleep more easily. He was able to return to work in a few months’ time and __54__ reached complete recovery after a few years.

45. A. run B. pass C. move D. travel

46. A. Besides B. Despite C. Without D. Beyond

47. A. attitudes B. beliefs C. goals D. positions

48. A. shortcoming B. harm C. benefit D. interest

49. A. emotion B. pain C. fear D. will

50. A. bring about B. set about C. put up D. make up

51. A. afforded B. appointed C. offered D. arranged

52. A. positive B. approving C. strong D. mixed

53. A. escape B. decrease C. shrink D. end

54. A. generally B. especially C. actually D. presently

(B)

“When a customer enters my store, forget me. He is King, ’’said John Wanamaker, who in l876 turned an abandoned railway station in Philadelphia into one of me world’s first department stores. This revolutionary concept __55__ the face of retailing(零售业) and led to the development of advertising and marketing as we know it today.

But convincing as that slogan was, __56__ the shopper was cheated out of the crown. __57__ manufacturing efficiency increased the variety of goods and lowered prices, people still relied on advertisements to get most information about products. Through much of the past century, ads spoke to an audience restricted to just a few radio or television channels or a __58__number of publications. Now media choice, has __59__ too, and consumers select what they want from a far greater variety of sources—especially with a few clicks of a computer mouse. __60__ the internet, the consumer is finally seizing power.

As our survey shows, __61__ has great implications for companies, because it is changing the way the world shops. Many firms already claim to be “customer-driven” or “consumer-centred”. Now their __62__ will be tested as never before. Taking advantage of shoppers’ __63__ will no longer be possible: people will know—and soon tell others, even those without the internet—that prices in the next town are cheaper or that certain goods are inferior. The internet is working wonders in __64__ standards. Good and Good and honest firms should benefit most.

55. A. changed B. maintained C. restored D. rescued

56. A. in time B. in truth C. in case D. in theory

57. A. Just as B. The moment C. If D. Although

58. A. 1imited B. minimum C. sufficient D. great

59. A. disappeared B. existed C. exploded D. survived

60. A. According to B. Thanks to C. But for D. Apart from

61. A. consumer power B. product quality C. purchasing habit D.manufacturing efficiency

62. A. information B. investment C. claims D. shops

63. A. generosity B. knowledge C. curiosity D. ignorance

64. A. raising B. lowering C. abandoning D. carrying

IV. Reading Comprehension

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

(A)

Cara Lang is 13. She lives in Boston, Massachusetts, in me U. S. Last Thursday, she didn't go to school. She went to work with her father instead. Every year, on the fourth Thursday in April, millions of young girls go work. This is Take Our Daughters to Work Day. The girls are between me ages of 9 and 15. They spend the day at work with an adult, usually a mother, father, aunt, or uncle. They go to offices, police stations, laboratories, and other places where their parents or other family members work. Next year, the day will include sons, too.

The Ms. Foundation, an organization for women, started the program about ten years ago. In the U.S., many women work outside the home. The Ms. Foundation wanted girls to find out about many different kinds of jobs. Then, when the girls grow up, they can choose a job they like.

Cara's father is a film director. Cara says, “It was very exciting for me to go to the studio with my dad. I saw a lot of people doing different jobs.” Many businesses have special activities for girls on this day. Last year, Cara went to work with her aunt at the University of Massachusetts. In the engineering department, the girls learned to build a bridge with toothpicks and Candy. In the chemistry department, they learned to use scales. They learned about many other kinds of jobs, too.

Right now, Cara does not know what job she will have when she grows up. But because of Take Our Daughters to Work Day, she knows she h2Ls many choices.

65. What is Cara's father?

A. An engineer. B. An official. C. A moviemaker. D. A professor.

66. According to the passage, Take our Daughters to work Day is ______.

A. on every Thursday in April B. a holiday for girls of all ages

C. a day for girls to know about jobs D. a day for girls to get a job easily

67. On this special day, Cara has done all the following EXCEPT that ____.

A. she learned to use scales B. she worked as an actress

C. she went to work with her aunt D. she used toothpicks and Candy to build a bridge

68. What is probably the best title for the passage?

A. Cara Lang, a Fortunate Girl B. Take Our Daughters to Work Day

C. Children's Day and Work Day D. Ms. Foundation, an Organization for Women

(B)

Nervous suspects(嫌疑犯) locked up in Britain's newest police station may feel relieved by a pleasant yellow Colour on the door. If they are close to confessing a crime, the blue on the wall might tip the balance.

Gwent Police have abandoned colours such as greys and browns of the 20th-century police cell(牢房) and have used colour psychology to decorate them.

Ystrad Mynach station, which recently opened at a cost of￡5 million, has four cells with glass doors for prisoners who suffer from claustrophobia(幽闭恐怖症). Designers have painted the frames yellow, which researchers say is a calming colour. Other cells contain a royal blue line because psychologists believe that the colour is likely to encourage truthfulness.

The station has 31 cells, including 12 with a “live scan” system for drunken or disturbed prisoners, which detects the rise and fall of their chest. An alarm alerts officers if a prisoner's breathing stops and carries on ringing until the door is opened.

Designers and psychologists have worked for years on colour. Blue is said to suggest trust, efficiency, duty, logic, coolness, thinking and calm. It also suggests coldness and unfriendliness. It is thought that strong blues will stimulate clear thought and lighter, soft colours will calm the mind and aid concentration.

Yellow is linked with confidence, self-respect and friendliness. Get the colour wrong and it could cause fear, depression and anxiety, but the right yellow can lift spirits and self-respect.

Ingrid Collins, a psychologist who specializes in the effects of colour, said that colour was an “energy force”. She said: “Blue does enhance communication but I am not sure it would enhance truthful communication.”

Yellow, she said, affected the mind. Red, on the other hand, should never be considered because it could increase aggression. Mrs Collins praised the designers for using colours in the cells. Gwent is not the first British force to experiment with colour to calm down or persuade prisoners to co-operate. In the 1990s Strathclyde Police used pink in cells based on research carried out by the US Navy.

69. The expression “tip the balance” in paragraph 1 probably indicates that the blue might ____.

A. let suspects keep their balance B. help suspects to confess their crimes

C. make suspects cold and unfriendly in law court D. enable suspects to change their attitudes to colours

70. Which of the following colours should NOT be used in cells according to me passage?

A. Pink. B. Yellow C. Blue. D. Red.

71. Which of the following helps alert officers if someone stops breathing?

A. Scanning equipment. B. Royal blue lines. C. Glass doors. D.Yellow frames.

72. The passage is mainly concerned with ______

A. the relationship between colours and psychology B. a comparison of different functions of colours

C. the use of colours in cells to affect criminals’ psychology

D. scientific ways to help criminals reform themselves in prison

73. The word “talion” in introducing the book Eye for an Eye is probably a concept of ______.

A. medicine B. trade C. avenging D. striving

74. The book entitled A History of Modern Indonesia has focus on _______.

A. 1andscapes and tourist attractions in Indonesia B. its fourth largest population in the world

C. its relatively unfamiliar and understudied economy D. its social and political aspects in modern times

75. What do these books have in common?

A. Their authors are introduced in detail. B. They all have a hard back and a paperback.

C. Each of them is commented by a professor. D. They are published by the same publishing house.

(D)

The “Bystander Apathy Effect” was first studied by researchers in New York after neighbours ignored—and in some cases turned up the volume on their TVs—the cries of a woman as she was murdered(over a half-hour period). With regard to helping those in difficulty generally, they found that:

(1) women are helped more than men;

(2) men help more than women;

(3) attractive women are helped more than unattractive women.

Other factors relate to the number of people in the area, whether the person is thought to be in trouble through their own fault, and whether a person sees himself as being able to help.

According to Adrian Furnham, Professor 0f University College, London, there are three reasons why we tend to stand by doing nothing:

(1) “Shifting of responsibility”一the more people there are, the less likely help is to be given. Each person excuses himself by thinking someone else will help, so that the more “other people’ there are, the greater the total shifting of responsibility.

(2) “'Fear of making a mistake'’一situations are often not clear. People think that those involved in an accident may know each other or it may be a joke, so a fear of embarrassment makes them keep themselves to themselves.

(3) “Fear of the consequences if attention is turned on you, and the person is violent.”

Laurie Taylor, Professor of Sociology at London University, says: “In the experiments I’ve seen on intervention(介入), much depends on

2006年高考的数学考试大纲

2006年高考大纲——理科数学

Ⅰ.考试性质

普通高等学校招生全国统一考试是由合格的高中毕业生和具有同等学力的考生参加的选拔性考试，高等学校根据考生的成绩，按已确定的招生计划，德、智、体、全面衡量，择优录取，因此，高等应有较高的信度、效度，必要的区分度和适当的难度．

Ⅱ.考试要求

《 2006年普通高等学校招生全国统一考试大纲（理科）》中的数学科部分，根据普通高等学校对新生文化素质的要求，依据国家教育部2002年颁布的《全日制普通高级中学课程计划》和《全日制普通高级中学数学教学大纲》的必修课与选修Ⅱ的教学内容，作为理工农医类高考数学科试题的命题范围

数学科的考试，按照“考查基础知识的同时，注重考查能力”的原则确立以能力立意命题的指导思想．将知识、能力与素质融为一体，全面检测考生的数学素养。

数学科考试要发挥数学作为基础学科的作用，既考查中学数学知识和方法，又考查考生进入高校继续学习的潜能。

一、考试内容的知识要求、能力要求和个性品质要求

1．知识要求

知识是指《全日制普通高级中学数学教学大纲》所规定的教学内容中的数学概念、性质、法则、公式、公理、定理以及其中的数学思想和方法。

对知识的要求，依次为了解、理解和拿握、灵活和综合运用三个层次。

（1）了解：要求对所列知识的含义有初步的、感性的认识知道这一知识内容是什么，并能（或会）在有关的问题中识别它。

（2）理解和掌握要求对所列知识内容有较深刻的理论认识，能够解释、举例或变形、推断，并能利用知识解决有关问题。

（3）灵活和综合运用二要求系统地掌握知识的内在联系，能运用所列知识分析和解决较为复杂的或综合性的问题。

2.能力要求

能力是指思维能力、运算能力、空间想象能力以及实践能力和创新意识。

(1)思维能力：会对问题或资料进行戏察、比较、分析、综合、抽象与概括；会用类比、归纳和演绎进行推理；能合乎逻辑地、准确地进行表述。

数学是一门思维的科学，思维能力是数学学科能力的核心数学思维能力是以数学知识为素材，通过空间想象、直觉猜想、归纳抽象、符号表示、运算求解、演绎证明和模式构建等诸方面，对客观事物中的空间形式、数量关系和数学模式进行思考和判断，形成和发展理性思维，构成数学能力的主体。

（2）运算能力：会根据法则、公式进行正确运算、变形和数据处理；能根据问题的条件，寻找与设计合理、简捷的运算途径；能根据要求对数据进行估计和近似计算。

运算能力是思维能力和运算技能的结合。运算包括对数字的计算、估值和近似计算，对式子的组合变形与分解变形对几何图形各几何量的计算求解等。运算能力包括分析运算条件、探究运算方向、选择运算公式、确定运算程序等一系列过程中的思维能力、也包括在实施运算过程中遇到障碍而调整运算的能力。

（3）空间想象能力：跟据条件作出正确的图形，根据图形想象出直观形象；能正确地分析出图形中基本元素及其相互关系；能对图形进行分解、组合与变换；会运用图形与图表等手段形象地揭示问题的本质。

空间想象能力是对空间形式的观察、分析、抽象的能力。主要表现为识图、画图和对图形的想象能力．识图是指观察研究所给图形中几何元素之间的相互关系；画图是指将文字语言和符号语言转化为图形语言，以及对图形添加辅助图形或对图形进行各种变换．对图形的想象主要包括有图想图和无图想图两种，是空间想象能力高层次的标志．

（4）实践能力：能综合应用所学数学知识、思想和方法解决问题，包括解决在相关学科、生产、生活中简单的数学问题；能理解对问题陈述的材料，并对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；应用相关的数学方法解决问题并加以验证，并能用数学语言正确地表述和说明．

实践能力是将客观事物数学化的能力．主要过程是依据现实的生活背景，提炼相关的数量关系，构造数学模型，将现实问题转化为数学问题，并加以解决．

(5)创新意识：对新颖的信息、情境和设问，选择有效的方法和手段分析信息，综合与灵活地应用所学的数学知识、思想和方法，进行独立的思考、探索和研究，提出解决问题的思路，创造性地解决问题．

创新意识是理性思维的高层次表现．对数学问题的“观察、猜测、抽象、概括、证明”，是发现问题和解决问题的重要途径，对数学知识的迁移、组合、融会的程度越高，显示出的创新意识也就越强．

3．个性品质要求

个性品质是指考生个体的情感、态度和价值观．要求考生具有一定的数学视野，认识数学的科学价值和人文价值，崇尚数学的理性精神，形成审慎思维的习惯，体会数学的美学意义．

要求考生克服紧张情绪，以平和的心态参加考试，合理支配考试时间，以实事求是的科学态度解答试题，树立战胜困难的信心，体现锲而不舍的精神．

二、考查要求

数学学科的系统性和严密性决定了数学知识之间深刻的内在联系，包括各部分知识在各自的发展过程中的纵向联系和各部分知识之间的横向联系．要善于从本质上抓住这些联系，进而通过分类、梳理、综合，构建数学试卷的结构框架．

（l）对数学基础知识的考查，要既全面又突出重点，对于支撑学科知识体系的重点内容，要占有较大的比例，构成数学试卷的主体．注重学科的内在联系和知识的综合性，不刻意追求知识的覆盖面．从学科的整体高度和思维价值的高度考虑问题，在知识网络交汇点设计试题，使对数学基础知识的考查达到必要的深度．

（2）对数学思想和方法的考查是对数学知识在更高层次上的抽象和概括的考查，考查时必须要与数学知识相结合，通过数学知识的考查，反映考生对数学思想和方法的理解；要从学科整体意义和思想价值立意，注重通性通法，淡化特殊技巧，有效地检测考生对中学数学知识中所蕴涵的数学思想和方法的掌握程度．

（3）对数学能力的考查，强调“以能力立意”，就是以数学知识为载体，从问题人手，把握学科的整体意义，用统一的数学观点组织材料．侧重体现对知识的理解和应用，尤其是综合和灵活的应用，以此来检测考生将知识迁移到不同情境中去的能力，从而检测出考生个体理性思维的广度和深度以及进一步学习的潜能．

对能力的考查，以思维能力为核心，全面考查各种能力，强调综合性、应用性，并切合考生实际．对思维能力的考查贯穿于全卷，重点体现对理性思维的考查，强调思维的科学性、严谨性、抽象性．对运算能力的考查主要是对算理和逻辑推理的考查，考查时以代数运算为主，同时也考查估算、简算．对空间想象能力的考查，主要体现在对文字语言、符号语言及图形语言．三种语言的互相转化，表现为对图形的识别、理解和加工，考查时要与运算能力、逻辑思维能力相结合．

（4）对实践能力的考查主要采用解决应用问题的形式．命题时一要坚持“贴近生活，背景公平，控制难度”的原则，试题设计要切合我国中学数学教学的实际，考虑学生的年龄特点和实践经验，使数学应用问题的难度符合考生的水平．

(5)对创新意识的考查是对高层次理性思维的考查．在考试中创设比较新颖的问题情境，构造有一定深度和广度的数学问题，要注重问题的多样化，体现思维的发散性．精心设计考查数学主体内容，体现数学素质的试题；反映数、形运动变化的试题；研究型、探索型、开放型的试题．

数学科的命题，在考查基础知识的基础上，注重对数学思想和方法的考查，注重对数学能力的考查，注重展现数学的科学价值和人文价值，同时兼顾试题的基础性、综合性和现实性，重视试题间的层次性，合理调控综合程度，坚持多角度、多层次的考查，努力实现全面考查综合数学素养的要求．

III.考试内容

1．平面向量

考试内容：

向量．向量的加法与减法．实数与向量的积．平面向量的坐标表示．线段的定比分点．平面向量的数量积．平面两点间的距离.平移．

考试要求：

（1）理解向量的概念，掌握向量的几何表示，了解共线向量的概念．

（2）掌握向量的加法和减法．

（3）掌握实数与向量的积，理解两个向量共线的充要条件．

（4）了解平面向量的基本定理，理解平面向量的坐标的概念，掌握平面向量的坐标运算．

（5）掌握平面向量的数量积及其几何意义，了解用平面向量的数量积可以处理有关长度、角度和垂直的问题，掌握向量垂直的条件．

（6）掌握平面两点间的距离公式以及线段的定比分点和中点坐标公式，并且能熟练运用.掌握平移公式．

2．集合、简易逻辑

考试内容：

集合.子集.补集.交集.并集．

逻辑联结词．四种命题．充分条件和必要条件．

考试要求：

（1）理解集合、子集、补集、交集、并集的概念.了解空集和全集的意义.了解属于、包含、相等关系的意义.掌握有关的术语和符号，并会用它们正确表示一些简单的集合．

（2）理解逻辑联结词“或”、“且”、“非”的含义.理解四种命题及其相互关系.掌握充分条件、必要条件及充要条件的意义．

3．函数

考试内容：

映射.函数.函数的单调性.奇偶性．

反函数．互为反函数的函数图像间的关系．

指数概念的扩充．有理指数幂的运算性质．指数函数．

对数．对数的运算性质．对数函数．

函数的应用．

考试要求：

（1）了解映射的概念，理解函数的概念．

（2）了解函数单调性、奇偶性的概念，掌握判断一些简单函数的单调性、奇偶性的方法．

（3）了解反函数的概念及互为反函数的函数图像间的关系，会求一些简单函数的反函数．

（4）理解分数指数幂的概念，掌握有理指数幂的运算性质，掌握指数函数的概念、图像和性质．

（5）理解对数的概念，掌握对数的运算性质.掌握对数函数的概念、图像和性质．

（6）能够运用函数的性质、指数函数和对数函数的性质解决某些简单的实际问题．

4．不等式

考试内容：

不等式．不等式的基本性质．不等式的证明．不等式的解法．含绝对值的不等式．

考试要求：

（1）理解不等式的性质及其证明．

（2）掌握两个（不扩展到三个）正数的算术平均数不小于它们的几何平均数的定理，并会简单的应用．

（3）掌握分析法、综合法、比较法证明简单的不等式．

（4）掌握简单不等式的解法．

（5）理解不等式│a│-│b│≤│a+b│≤│a│+│b│.

5．三角函数

考试内容：

角的概念的推广．弧度制．

正弦定理．余弦定理．斜三角形解法．

考试要求：

（1）理解任意角的概念、弧度的意义.能正确地进行弧度与角度的换算．

（2）掌握任意角的正弦、余弦、正切的定义.了解余切、正割、余割的定义.掌握同角三角函数的基本关系式.掌握正弦、余弦的诱导公式.了解周期函数与最小正周期的意义．

（3）掌握两角和与两角差的正弦、余弦、正切公式.掌握二倍角的正弦、余弦、正切公式．

（4）能正确运用三角公式，进行简单三角函数式的化简、求值和恒等式证明．

（6）会由已知三角函数值求角，并会用符号arcsin x、arccos x、arctanx表示．

（7）掌握正弦定理、余弦定理，并能初步运用它们解斜三角形．

2006年上海高考数学难度如何

难度很大。根据查询万方数据网显示，2006年全国高考的数学试卷中，考试的内容是很多的，所有考试大纲规定的内容都有所涉及，题目数量多，思考难度大，不少题目还带有较大的运算成分，考生普遍反映难以在有限时间内顺利完成答题任务，因此2006年上海高考数学难度很大。