20xx年浙江省专升本《高等数学》考试大纲(3300字)

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20xx年浙江省专升本高等数学考试大纲

20xx年浙江省专升本高等数学考试大纲

浙江省普通高校专升本”统考科目:

20xx年浙江专升本考试《高等数学》考试大纲

考试要求

考生应按本大纲的要求,掌握“高等数学”中函数、极限和连续、一元函数微分学、一元函数积分学、无穷级数、常微分方程、向量代数与空间解析几何的基本概念、基本理论和基本方法。考生应注意各部分知识的结构及知识的联系;具有一定的抽象思维能力、逻辑推理能力、运算能力和空间想象能力;能运用基本概念、基本理论和基本方法进行推理、证明和计算;能运用所学知识分析并解决一些简单的实际问题。

考试内容

一、函数、极限和连续

(一)函数

1.理解函数的概念,会求函数的定义域、表达式及函数值,会作出一些简单的分段函数图像。

2.掌握函数的单调性、奇偶性、有界性和周期性。

3.理解函数y =?(x)与其反函数y =?-1(x)之间的关系(定义域、值域、图像),会求单调函数的反函数。

4.掌握函数的四则运算与复合运算; 掌握复合函数的复合过程。

5.掌握基本初等函数的性质及其图像。

6.理解初等函数的概念。

7.会建立一些简单实际问题的函数关系式。

(二)极限

1.理解极限的概念(只要求极限的描述性定义),能根据极限概念描述函数的变化趋势。理解函数在一点处极限存在的充分必要条件,会求函数在一点处的左极限与右极限。

2.理解极限的唯一性、有界性和保号性,掌握极限的四则运算法则。

3.理解无穷小量、无穷大量的概念,掌握无穷小量的性质,无穷小量与无穷大量的关系。会比较无穷小量的阶(高阶、低阶、同阶和等价)。会运用等价无穷小量替换求极限。

4.理解极限存在的两个收敛准则(夹逼准则与单调有界准则),掌握两个重要极限:

limsinx1?1,lim(1?)x?e, x?0x??xx

并能用这两个重要极限求函数的极限。

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20xx年浙江省专升本高等数学考试大纲

20xx年浙江省专升本高等数学考试大纲

(三)连续

1.理解函数在一点处连续的概念,函数在一点处连续与函数在该点处极限存在的关系。会判断分段函数在分段点的连续性。

2.理解函数在一点处间断的概念,会求函数的间断点,并会判断间断点的类型。

3.理解“一切初等函数在其定义区间上都是连续的”,并会利用初等函数的连续性求函数的极限。

4.掌握闭区间上连续函数的性质:最值定理(有界性定理),介值定理(零点存在定理)。会运用介值定理推证一些简单命题。

二、一元函数微分学

(一)导数与微分

1.理解导数的概念及其几何意义,了解左导数与右导数的定义,理解函数的可导性与连续性的关系,会用定义求函数在一点处的导数。

2.会求曲线上一点处的切线方程与法线方程。

3.熟记导数的基本公式,会运用函数的四则运算求导法则,复合函数求导法则和反函数求导法则求导数。会求分段函数的导数。

4.会求隐函数的导数。掌握对数求导法与参数方程求导法。

5.理解高阶导数的概念,会求一些简单的函数的n阶导数。

6.理解函数微分的概念,掌握微分运算法则与一阶微分形式不变性,理解可微与可导的关系,会求函数的一阶微分。

(二)中值定理及导数的应用

1.理解罗尔(Rolle)中值定理、拉格朗日(Lagrange)中值定理及它们的几何意义,理解柯西(Cauchy)中值定理、泰勒(Taylor)中值定理。会用罗尔中值定理证明方程根的存在性。会用拉格朗日中值定理证明一些简单的不等式。

2.掌握洛必达(L’Hospital)法则,会用洛必达法则求“

“1”,“0”和“?”型未定式的极限。

3.会利用导数判定函数的单调性,会求函数的单调区间,会利用函数的单调性证明一些简单的不等式。

4.理解函数极值的概念,会求函数的极值和最值,会解决一些简单的应用问题。

5.会判定曲线的凹凸性,会求曲线的拐点。

6.会求曲线的渐近线(水平渐近线、垂直渐近线和斜渐近线)。

7.会描绘一些简单的函数的图形。

三、一元函数积分学 ?0?”,“”,“0??”,“???”,0?00

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20xx年浙江省专升本高等数学考试大纲

20xx年浙江省专升本高等数学考试大纲

(一)不定积分

1.理解原函数与不定积分的概念及其关系,理解原函数存在定理,掌握不定积分的性质。

2.熟记基本不定积分公式。

3.掌握不定积分的第一类换元法(“凑”微分法),第二类换元法(限于三角换元与一些简单的根式换元)。

4.掌握不定积分的分部积分法。

5.会求一些简单的有理函数的不定积分。

(二)定积分

1.理解定积分的概念与几何意义, 掌握定积分的基本性质。

2.理解变限积分函数的概念,掌握变限积分函数求导的方法。

3.掌握牛顿—莱布尼茨(Newton—Leibniz)公式。

4.掌握定积分的换元积分法与分部积分法。

5.理解无穷区间上有界函数的广义积分与有限区间上无界函数的瑕积分的概念,掌握其计算方法。

6.会用定积分计算平面图形的面积以及平面图形绕坐标轴旋转一周所得的旋转体的体积。

四、无穷级数

(一)数项级数

1.理解级数收敛、级数发散的概念和级数的基本性质,掌握级数收敛的必要条件。

2.熟记几何级数?aqn?1?n?1?11,调和级数?和p—级数?p的敛散性。会用正n?1nn?1n?

项级数的比较审敛法与比值审敛法判别正项级数的敛散性。

3.理解任意项级数绝对收敛与条件收敛的概念。会用莱布尼茨(Leibnitz) 判别法判别交错级数的敛散性。

(二)幂级数

1.理解幂级数、幂级数收敛及和函数的概念。会求幂级数的收敛半径与收敛区间。

2.掌握幂级数和、差、积的运算。

3.掌握幂级数在其收敛区间内的基本性质:和函数是连续的、和函数可逐项求导及和函数可逐项积分。

4.熟记ex,sinx,cosx,ln(1+x),1的麦克劳林(Maclaurin)级数,会将一些1?x

简单的初等函数展开为x-x0的幂级数。

五、常微分方程

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20xx年浙江省专升本高等数学考试大纲

20xx年浙江省专升本高等数学考试大纲

(一)一阶常微分方程

1.理解常微分方程的概念,理解常微分方程的阶、解、通解、初始条件和特解的概念。

2.掌握可分离变量微分方程与齐次方程的解法。

3.会求解一阶线性微分方程。

(二)二阶常系数线性微分方程

1.理解二阶常系数线性微分方程解的结构。

2.会求解二阶常系数齐次线性微分方程。

3.会求解二阶常系数非齐次线性微分方程(非齐次项限定为(Ⅰ) f(x)?Pn(x)e?x,其中Pn(x)为x的n次多项式,?为实常数;(Ⅱ)f(x)?e?x(P,n(x)cos?x?Qm(x)sin?x)其中?,?为实常数,Pn(x),Qm(x)分别为x的n次,m次多项式)。

六、向量代数与空间解析几何

(一)向量代数

1.理解向量的概念,掌握向量的表示法,会求向量的模、非零向量的方向余弦和非零向量在轴上的投影。

2.掌握向量的线性运算(加法运算与数量乘法运算),会求向量的数量积与向量积。

3.会求两个非零向量的夹角,掌握两个非零向量平行、垂直的充分必要条件。

(二)平面与直线

1.会求平面的点法式方程与一般式方程。会判定两个平面的位置关系。

2.会求点到平面的距离。

3.会求直线的点向式方程、一般式方程和参数式方程。会判定两条直线的位置关系。

4.会求点到直线的距离,两条异面直线之间的距离。

5.会判定直线与平面的位置关系。

试卷结构

试卷总分:150分

考试时间:150分钟

试卷内容比例:

函数、极限和连续 约20%

一元函数微分学 约30%

一元函数积分学 约30%

无穷级数、常微分方程 约15%

向量代数与空间解析几何 约5%

试卷题型分值分布:

选择题共 5题,每小题 4 分,总分20分;

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20xx年浙江省专升本高等数学考试大纲

20xx年浙江省专升本高等数学考试大纲

填空题共10题,每小题 4 分,总分40分; 计算题共 8题, 总分60分; 综合题共 3题,每小题10分,总分30分。

5


第二篇:20xx年福建省专升本公共课(大学英语、高等数学)考试大纲 58300字

福建省高校专升本统一招生考试

大学英语水平测试大纲

(非英语专业)

一、总则

国家教育部高教司在“关于印发《高职高专教育英语课程教学基本要求》(试行)的通知”[(2000)57号文件]中指出,高职高专教育以培养学生实际运用语言能力为目标,突出教学内容的实用性和针对性;针对目前高职高专学生入学水平参差不齐的情况,实行统一要求、分级指导的原则。《高职高专教育英语课程教学基本要求》(以下简称《基本要求》)对英语教学提出了应达到的合格要求,把教学和测试分为A、B两级。B级是过渡要求,A级是标准要求。

福建省高职高专升本科英语水平测试根据《基本要求》的精神,参照福建省教育厅组织编写的《英语基础教程》(高职高专版)系列教材的教学内容,全面考核《基本要求》中所提出的各项目标。《基本要求》中指出:高职高专教育英语课程的教学目的是,经过180-220学时的教学,使学生掌握一定的英语基础知识技能,具有一定的听、说、读、写、译的能力,从而借助词典阅读和翻译有关英语业务资料,在涉外交际的日常活动中进行简单的口头和书面交流,并为今后进一步提高英语的交际能力打下基础。为此,这项考试主要考核学生运用语言的能力,同时也考核学生对语法结构和词语用法的掌握程度。

本考试是一种标准化考试。考试范围主要是《基本要求》中所规定的A级要求。为保证试卷的信度和效度,试卷采用主观题与客观题相结合的形式,能较全面地考核学生有关语言的基础知识和运用语言的能力。考试每年组织一次,由省教育厅组织实施。

二、考试内容

本考试包括五个部分:听力理解(暂不考)、阅读理解、词语用法与语法结构、完形填空或英译汉、短文写作。全部题目按顺序统一编号。

第一部分:听力理解(暂不考)(PartⅠ: Listening Comprehension)。共20题,考试时间为30分钟。这一部分共有四种形式,每次考试选择其中的三种形式。第一种形式为单句(statement),共10题,每题一个句子。录音只放一遍。每题0.5分;第二种形式为对话(conversation),共10题,每题一组对话,对话后有一个问句。录音只放一遍。每题1分;第三种形式为短文(passage)。一篇约150至200词的短文和5个问题。问题在试卷册上印出。录音放两遍。每题1分;第四种形式为听写填空(spot dictation)。一篇约150词的短文,其中空出10个空格,要求考生填入正确的词或词组,录音放三遍。每一空格0.5分。

听力部分的每题约有15秒的间隙,要求考生从试卷所给的每题4个选择项中选出一个最佳答案,或补全句子。录音的语速为每分钟120词。

选材原则:

1、福建省教育厅组织编写的《英语基础教程》(高职高专版)系列教材所提供的话题。对话与单句部分均为日常生活或交际场合中的一般用语与对话。

2、短篇听力材料为题材熟悉的讲话、故事、叙述、解说等。

3、所用词语不超出《基本要求》中所规定的A级词汇。

第二部分:阅读理解(PartⅡ:Reading Comprehension)。共20题,考试时间为50分

钟。要求考生阅读若干篇短文,总阅读量不超过1000词。这一部分共有两种形式。第一种形式为3篇短文,每篇短文后有5个问题,考生应根据文章内容从每题的4个选择项中选出一个最佳的答案;第二种形式为一篇短文,短文后有5个问题,考生应根据文章内容,用自己的话简短回答问题。(一般每题答案不超过10个词)

选材原则:

1、阅读文章题材广泛,包括社会、文化、日常生活知识、科普常识等方面。但所涉及的文章以学生所熟悉的背景知识为主。

2、体裁多样,包括议论文、说明文、叙述文等。

3、文章的语言难度以《基本要求》所规定的A级要求为标准,如有个别超纲的词或无法猜测而又影响理解的关键词,则用汉语注明词义。

阅读理解部分主要测试考生下列能力:

1、理解所读文章的主旨和大意,理解事实与细节;

2、理解句子的意义以及上下文的逻辑关系;

3、根据文章进行一定的判断和推论;

4、根据上下文推测、判断生词的意思;

5、理解文章的写作意图,作者的见解与态度。

阅读理解主要测试学生通过阅读较准确地查找与获取信息的能力。阅读要求有一定的速度。

第三部分:词语用法和语法结构(PartⅢ: Vocabulary and Structure)。共30题,考试时间20分钟。题目中词和短语的用法占50%,语法结构占50%。要求考生从每题4个选择项中选出一个最佳答案。

词语用法和语法结构部分的目的是测试学生运用词汇、短语及语法结构的能力。考试范围包括《基本要求》所规定的A级以下(包括A级)词汇和短语以及《基本要求》中所列出的语法结构表。

词语用法与语法结构主要考核学生;

1、掌握《基本要求》中A级所要求的词汇以及常用词组情况;

2、掌握英语语法结构的情况和对时态、语态的使用能力;

3、对非谓语动词以及各类从句的掌握情况;

4、对虚拟语气、强调句、倒装句以及主谓一致的使用能力。

第四部分:完形填空或英译汉(PartⅣ: Cloze Test or English to Chinese Translation)。这一部分共两种形式,每次考试选择其中一种形式。完形填空共20题,考试时间20分钟。在一篇题材熟悉、难度适中的短文(约200词)中留有20个空白,每个空白为一题,每题有4个选择项,要求考生在全面理解文章内容的基础上选出一个最佳答案,使短文的意思和语言结构恢复完整。填空的词项包括结构词和实义词。综合填空的目的是测试学生综合运用语言的能力。

英译汉共5题。在阅读理解部分的3篇文章中,选择典型的、难度适中的5个句子,总词量不超过100词,在句子底下划横线。考生根据上下文的意思,正确理解,并将这5个句子译成汉语,译文达意。英译汉目的是测试学生阅读理解的准确程度以及汉语的表达水

平。

第五部分:短文写作(PartⅤ: Writing)。共1题,考试时间为30分钟。要求考生在规定的时间内写出一篇100-120词的英语作文。试卷上将给出题目,或规定情景,或要求看图作文,或给出英语段首句要求考生续写,或用汉语给出每段的提纲,或给出关键词要求写出英语短文。作文要求能正确表达思想、内容切题、意义连贯,无重大的语法错误。写作的内容包括日常生活和一般熟悉的常识。

三、答题及计分方法

客观题用机器阅卷。要求考生从每题4个选择项中选出一个最佳答案,并在答案纸(Answer sheet)上该题的相应字母中间用铅笔划一条横线。每题只能选择一个答案,多选作答错处理。主观题答在规定的试卷上。

阅卷将按科学的评分标准评分。试卷各部分采用计数的方法,折算成百分制。

四、使用教材

福建省教育厅组织编写的《英语基础教程》(高职高专版)系列教材(厦门大学出版社出版发行)系本考试的教学与考生自学的主要教材。20xx年省高职高专升本科英语水平测试将依据《基本要求》所规定的A级要求命题。《英语基础教程》(高职高专版)系列教材按《基本要求》提出的各项目标编写,可供考生复习考试之用。

附注:高职高专升本科英语水平测试(非英语专业)暂不考听力理解部分。

福建省高校专升本统一招生考试

英语水平测试样题(1)

(非英语专业)

PartⅠ. Listening Comprehension

Section A: 10 Statements

Directions: In this section, you will hear 10 statements. Each sentence will be spoken just once. The sentence you hear will not be written out for you. After you hear each sentence, read the four choices in your test paper, marked, A, B, C, and D, and decide which one is closest in meaning to the sentence you heard. Then, on your Answer Sheet, find the number of the question and fill in the space that corresponds to the letter of answer you have chosen.

1. A. She should have her ears examined.

B. She must listen to her teacher.

C. She didn‘t pay attention to her teacher‘s opinion.

D. She always does what the teacher tells her.

2. A. The plane left at 12:30 A. M.

B. The plane left at 12:00 noon.

C. The plane left at 11:30 P. M.

D. The plane left at 1:00 P. M.

3. A. Pat went to the party with John.

B. John was invited to Pat‘s party.

C. John would not go to the party.

D. Pat did not go to the party.

4. A. The tour was worth the time but not the money.

B. The tour was not worth the time or the money.

C. The tour was worth both the time and the money.

D. The tour was not worth the time

5. A. I wrote you a letter.

B. I called you.

C. I let her call you.

D. I went to see you.

6. A. There was plenty of time to get there.

B. We needed more time to get there.

C. We had to get there in time.

D. We had a good time when we got there.

7. A. She failed the test.

B. She needed more time to finish the test.

C. In spite of her studying she found the test difficult.

D. She did well on the test because she studied hard.

8. A. Despite its being rush hour, there was little traffic.

B. There was not much traffic because it was rush hour.

C. There was a lot of traffic because it was rush hour.

D. Rush hour is before dark.

9. A. Although she has a scholarship, Ellen cannot attend the University.

B. Ellen cannot get a scholarship until the University accepts her.

C. Ellen attends the University on a scholarship.

D. If Ellen gets a scholarship, she can attend the University.

10. A. We got good seats although we were late.

B. We did not get good seats because we were late.

C. We were too late, but we got good seats.

D. We got good seats because we arrived on time.

Section B: Conversations

Directions: In this section, you will hear 10 short conversations. At the end of each conversation, a question will be asked about what was said. The conversation and the question will be spoken only once. After each conversation, there will be a pause. During the pause, you must read the four choices marked A, B, C, and D, and decide which is the best answer. Then

mark the corresponding letter on the Answer Sheet with a single line through the center.

11. A. Finish the work.

B. Wait until next morning.

C. Go home.

D. Have a rest there.

12. A. The woman has chosen a color.

B. The woman doesn‘t care which color is chosen.

C. The woman is concerned about the color.

D. The woman has chosen a different color.

13. A. At the stationer‘s.

B. In the department store.

C. At the bank.

D. In the classroom.

14. A. After the woman.

B. Ahead of the woman.

C. At the same time as the woman.

D. Later than the woman.

15. A. She is easy-going.

B. She is an ill-natured person.

C. She looks mean, but deep down she is kind.

D. She is strict with her students.

16. A. The man himself.

B. The man‘s mother.

C. The cleaner.

D. The woman.

17. A. $20.58.

B. $58.00.

C. $78.58.

D. $100.58.

18. A. At the restaurant.

B. At the man‘s clothes store.

C. In the cinema.

D. In a supermarket.

19. A. Interviewer and interviewee.

B. Manger and clerk.

C. Shop-girl and consumer.

D. Landlady and tenant.

20. A. One hour.

B. An hour and a half.

C. Half an hour.

D. Three quarters.

Section C: Spot Dictation

Directions: In this part, you will hear a passage three times. The passage is printed on your test paper with 10 blanks. Listen carefully and fill in the blanks with the missing words you have just heard.

More and more people today are realizing the importance of physical exercise.

There are many different forms of exercise to different tastes. For example, those who sports may take up ball games. If they exercise alone, they can have a run or take a walk in the morning or in the evening. sports that are, people can always find one or more sports that are suitable to them.

However, the of physical exercise must be chosen carefully. More harm than good will if people choose the wrong form of exercise. For the aged, Qigong or Tai ji Boxing will suit them better than competitive sports. Those who have little spare time may have a regular run in the morning. Only if the kind of exercise is chosen and performed regularly, will it their health, work and study.

Part Ⅱ. Reading Comprehension

Directions: There are 4 passages in this part. Each of the first three passages is followed by some questions or unfinished statements. For each of them there are four choices marked A), B), C) and D). You should decide on the best choice. Answer the questions on the fourth passage. Questions 31 to 35 are based on the following passage.

People are making more and more demands on the world‘s natural resources. If babies born in 1991 live for 80 years, the human population of the world may be anything from twice to three times the present total by 2070. In other words, they will have to share what is left of the earth‘s resources with between 10 and 15 billion other people. But hopefully there will be a significant decrease in the growth of population. What if this does not happen? The answer is that by the time before the babies born in 1991 reach the age of 40 they could be sharing resources with as many as 10 billion other people.

Limiting the pollution of water and the atmosphere, controlling the output of the chemicals that may be causing global warming the climate change, and eating less meat may go some way to help, but can anyone seriously imagine that these are going to solve the problems of the ―baby class‖of ‘ 91?

There is no getting away from the fact that people are responsible for the present state of the world, and only people can solve the problems. The decisions have to be taken by people as members of national and local governments; as leaders and decision-makers in industry; as scientists and technologists; as professional engineers and designers; as religious leaders and as

individual citizens.

31. Which of the following can be the title for this passage?

A. Making More Demands on the Natural Resources.

B. Limiting the Pollution of Air and Water.

C. Reducing the World Population.

D. Saving the Babies of ‘91?

32. What is meant by ―the problems of the ?baby class‘ of ‘91‖?

A. A large number of babies will be born after 1991.

B. Babies born in 1991 won‘t live a long life.

C. The children of 1991 are not given good education.

D. The world will be over populated in 40 years.

A. a news report

B. a science fiction

C. an article by a medical worker

D. a government report

A. limiting the pollution is of the great importance

B. not all the people know how to save our planet

C. our planet is becoming warmer because of the pollution

D. we should eat less so that more people can be fed

35. Which of the following is NOT mentioned in the last paragraph as people responsible for the present state of the world?

A. Officials

B. Industrialists.

C. Businessmen.

D. Scientists.

Questions 36 to 40 are based on the following passage.

Accidents are the major cause of death for all young people under 35. They are the fourth most frequent cause of death for all age groups in the U. S. —fourth only to heart disease, cancer and stroke. Each year thousands of Americans lost their lives in accidents, and thousands are permanently crippled.

By far the most common types of home accidents are falls. Each year over ten thousand Americans meet death in this way, within the four walls of their home, or in yards around their house. Nine out of ten of the victims are over 65. But people of all ages experience serious injuries as a result of home falls. It is impossible to guess how many injuries result from falls, but they must run into millions.

Falls can be a problem for all ages. In the process of growing up, children or teenagers often

will fall. Fortunately their bodies are springy, so they may suffer only skinned knees, bumps and bruises. But in an older person, the same fall may cause a broken arm, leg, and hip or other injury that requires hospitalization or medical care. As a person grows older, he may not fall any more often, but the result usually are more serious and may even be fatal.

Preschool children are often killed by falls from open windows and porches. Their normal curiosity and the urge to climb lead them to dangerous heights. Therefore, it is a parent‘s duty to keep small children away from stairways, open windows and porch railing. Gates, bars, and other means of protection should be used whenever possible.

Adults fall because they don‘t look where they are going. Running or taking two steps at a time invites falls. In trying to save an extra trip up the stairs by loading his arms with bundles or boxes that keep him from seeing where he is going, an adult may find it safer to make an extra trip.

36. The most common type of home accidents is .

A. choking

B. falling

C. drowning

D. burning

37. In this passage the author states that .

A. seat belts save lives

B. most accidents are avoidable

C. heart disease is the greatest killer of Americans

D. the death rate from work-related injuries is increasing

38. Most victims of falls are at least 65 years of age because .

A. old people fall more often than younger people

B. bones become stiff and brittle with age

C. elderly people take unnecessary risks

D. old people don‘t look where they are going as a result of poor eyesight

39. Adults are injured in falls as a result of .

A. boldness(勇敢)

B. dizziness(晕眩)

C. carelessness

D. weakness

40. From the page we may conclude that A. as a cause of death in America, accidents rank first

B. the risk of accidents increases with a person‘s age

C. the head is injured more than any other part of the body

D. most people do not realize how serious falls can be

Questions 41 to 45 are based on the following passage.

Each year millions of people suffer from the effect of alcohol and drug abuse, getting into illness, crime and death.

In the United States alone, 10 to 12 million men and women and their loved ones and families suffer from alcohol. Additional millions abuse alcohol at great cost in health and in lost productivity.

In Canada, it is said, ―Alcohol increases business—for hospitals, ambulance drivers, doctors, and nurses.‖

Alcohol abuse and dangerous drugs have swept through Europe. Soviet culture, too, is paying enormous social and economic costs.

Developing nations are bothered by drup problems—both ancient and modern. In this part of the world hundreds of millions request doctor to ease their miseries and problems in life.

These methods of coping are unhealthy solutions! It is time we understood why and found the way out of today‘s greatest social problem surrounding this supposedly advanced 20th century.

41. This passage is primarily about A. the worldwide drug and alcohol abuse

B. the greatest social problem in Europe

C. the methods of coping with alcohol abuse

D. the enormous cost in health and in lost productivity

42. How many people in the United States have suffered form alcohol abuse?

A. About 5%~6% of the whole population.

B. About one fourth of the population.

C. 10 to 12 million people and their families.

D. Hundreds of millions.

43. Which of the following Statements is NOT true?

A. Alcohol and drug abuse is becoming a burning question.

B. The author suggests that the public cope with alcohol and drug abuse.

C. The alcohol abuse has damaged health.

D. Addicting agents come into being to treat the addicts.

44. The author strongly implies that the public should A. reveal the relationship of heavy drinking and illness

B. help drug users to ease their miseries

C. take measures to improve alcohol business

D. seek for proper solutions to drug problems in time

45. According to the author, the drug abuse problem in Soviet Union A. is costing more money than in Europe

B. cannot be solved because it cost too much money

C. becomes a threat to society

D. is also severe

Questions 46 to 50 are based on the following passage. Complete each of the sentences with less than 10 words.

I have been studying optimists(乐观主义者)and pessimists(悲观主义者)for the past 25 years. The defining characteristic of pessimists is that they tend to believe bad events will last a long time, will undermine everything they do, and are their own fault. The optimists, who are confronted with the same hard knocks of this world, think about misfortune in the opposite way. They tend to believe defeat is just a temporary setback, that its causes are confined to this case. The optimists believe defeat is not fault; circumstances, bad luck, or other people brought it about. Such people are not bothered by defeat. Confronted by a bad situation, they perceive it as a challenge and try harder.

These two habits about thinking about causes have consequences. Literally hundreds of studies show that pessimists give up more easily and get depressed more often. These experiments also show that optimists do much better in school and at work. They regularly exceed the predictions of aptitude tests. When optimists run for office, they are more apt to be elected than pessimists are. Their health is unusually good. Evidence suggests they may even live longer.

Twenty-five years of study has convinced me that if we habitually believe, as does the pessimist, that misfortune is our fault, is enduring, and will undermine everything we do, more of it will happen to us if we believe otherwise. I am also convinced that if we are in the grip of this view, we will even get physically sick more often. Pessimistic prophecies(预言)are self-fulfilling.

Questions:

46. What has the author been doing in the past 25 years?

47. What is the striking characteristic of the pessimist?

48. What is typical of the optimist?

49. The consequence of the pessimist doing is that .

50. So, we can come to the conclusion that PartⅢ Vocabulary and Structure

Directions: There are 30 incomplete sentences in this part. For each sentence there are four choices marked A), B), C), and D). Choose the one that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.

51. It won‘t be long we know each other well.

A) after

C) when

questions.

A) awkward B) amazed B) until D) before 52. The shy girl felt and uncomfortable when she could not answer her teacher‘s

C) curious

A) when

C) as

D) amused B) that D) than B) used to be

D) had been

B) At

D) In

B) able to

D) able of

B) at home

D) easy

B) you not speak

D) your not speaking 53. No sooner had he sat down to lunch there was a knock at the door. 54. She is studying medical science now, but she a lawyer. A) would be C) formerly were A) On 55. the whole, it was a successful evening. C) From 56. The computer of this kind is handling with all kinds of information. A) capable to C) capable of A) in the room C) fine 58. I‘rudely to her. A) that you won‘t speak C) you didn‘t speak

A) which

C) what it 59. He didn‘t thank me for the present. That is annoyed me. B) how it D) what

60. The climate in the mountain area has seriously in the mountain area has a serious upon his health.

A) effected, affect

C) affected, affect

A) senior

C) superior

A) adapt

C) adopt

B) affected, effect D) affected, effect B) junior D) better B) apt D) adept B) As a teacher he is

D) Teacher as he is

B) should rain

D) rained 61. This brand of products is to that in quality. 62. One must try his best to to the new environment. 63. , he is not capable of teaching. A) A teacher as he is C) As a teacher A) will rain C) rains 64. If it tomorrow, we won‘t go for a picnic.

65. We knew she wasn‘t English she began to speak.

A) once

B) until D) as C) the moment

66. We were struck by the extent which teachers‘ decisions served the interest of the school rather than those of the students.

A) to B) for

C) in D) with 67. It is desirable that he. A) gives up trying C) would give up

the Nobel Prize for Peace.

A) that B) because C) since D) for

69. The mere fact most people believe nuclear war would be madness does not mean that it will not occur.

A) what B) which C) that D) why

70. from space, our earth, with water covering 70% of its surface, appears as a ―blue planet‖.

A) Seeing B) To be seen

C) Seen D) Having seen 71. Mr. Johnson preferred heavier work to do. A) to be given C) to have given

percent over last year.

A) to B) of

C) with B) economic D) financial B) hadn‘t been D) am not D) by 73. The government has got a deficit(赤字)of 20 billion dollars. A) economical C) monetary A) haven‘t been C) wasn‘t A) deserve C) preserve

B) to be giving D) having given B) give up trying D) is going to give up trying 68. It was he had made such great contributions to the world peace that he won 72. This year‘s total output value of industry and agriculture will increase 5 74. I very successful in my work so far. 75. I‘d like to a special seat for the concert of May 3. B) reserve D) conserve B) bring forward

D) come true

B) has not to 76. We must that our customs and habits are different from theirs. A) take into account C) keep in mind A) mustn‘t 77. She be Canadian because she‘s got a British passport.

C) can‘t

A) persist C) dissuade

A) as

D) needn‘t B) persuade D) convince

C) to

D) like

78. I was able at last to my friend to take my advice.

79. A man of words and not of deeds is a garden full of weeds.

B) with

80. George doesn‘t trust anyone. He won‘t lend you any you promise in writing to pay him back.

A) unless

B) in case

C) as long as D) until

Part Ⅳ. cloze

Directions: There are 20 blanks in the following passage. For each blank there are four choices marked A, B, C and D. You should choose the one that best fits into the passage.

Smoking, which may be a pleasure for some people, is a serious source of discomfort for their fellows.

medical authorities express their about the effect of smoking the health not only who must unintentionally(无意地)breathe the air polluted by tobacco smoke may 86 more than the smokers themselves. As you are in an effort to the university to ban (禁止)smoking in the classrooms. I believe they are completely right their aim. , I would hope that it is to achieve this by the smokers to use good judgment and show concern others rather than by regulation.

Smoking is by laws in theaters and in halls used for films as well as in laboratories where there be a fire hazard(危险). Elsewhere, it is up to your good sense. I am asking you to maintain in the auditoriums(礼堂),classrooms and seminar rooms. This will prove that you have the non-smokers‘ health and well being which is very important to a large number of our students.

81. A. Still 83. A. on 84. A. to

B. More B. doubt B. in

B. about B. smokers B. suffer B. awake B. persuade B. of

C. But

D. Further D. pleasure D. to D. of D. students D. tolerate D. informed D. joined D. tell D. for D. Moreover D. possible

82. A. concern

C. interest C. with C. with C. people C. aware C. cause C. in

C. Further C. capable

85. A. non-smokers 86. A. endure 87. A. realize 88. A. linked 89. A. make 90. A. to

91. A. But then 92. A. likely

C. suffer from C. associated

B. connected

B. However B. probable

93. A. pleading 94. A. with

B. begging B. for

B. stopped B. should

C. insisting C. to

C. pressed C. may C. finally

D. calling on D. in D. prevented D. exhibiting D. must D. so D. Non smoke D. on your mind

95. A. prohibited 96. A. playing 97. A. will

B. demonstrating C. showing B. therefore

98. A. reluctantly 99. A. ―No Smoking‖ 100. A. by heart Part Ⅴ. Writing

B. ―Non Smoking‖ C. ―Not Smoke‖ B. from your heart C. in mind

Directions: For this part, you are allowed thirty minutes to write a composition on the topic ―Hobbies‖. You must base your composition on the following instructions ( given in English).

1. Hobbies are activities in which one participates strictly for amusement. 2. Some people collect things as a hobby. 3. My hobby is

参考答案

Part Ⅰ Listening Comprehension Script: Key to Section A (Statements)

(C) 1. She should have listened to her teacher‘s advice.

(A) 2. Their flight was scheduled to depart at noon, but the plane was delayed for half an hour.

(D) 3. Pat refused to accept John‘s invitation to the party. (B) 4. The tour was worth neither the time nor the money.

(B) 5. I was going to write you a letter, but I decide to call you instead. (A) 6. We had more than enough time to get there.

(C) 7. Although Mary studied hard for the test, there were a lot of questions she couldn‘t answer.

(A) 8. The traffic was very light even though it was rush hour. (D) 9. Ellen can‘t go to the University unless she gets a scholarship. (B)10. If we had arrived on time, we would have gotten good seats. (A)11. M: I‘m so tired I think I‘ll go home now.

W: I have to stay up until I finish the work. Q: What will the woman do?

(B)12. M: Which color would you choose? W: It makes no difference to me.

Q: What do we learn from this talk?

(C)13. M: I‘d like to cash a check. May I borrow your pen? W: Sure. Don‘t you have an account here?

Q: Where does the conversation take place? (B)14. M: Hi! I hope I haven‘t kept you waiting long.

W: Listen, I just got here myself. Q: When did the man arrive?

(D)15. M: I‘m always nervous when I‘m around the teacher.

W: Me, too. I believe she is too hard on us. Q: How do the students think of their teacher? (B)16. W: Do you do your own laundry?

M: No, my mother does my shirts; and I take my suits to the cleaner‘s. Q: who washes the man‘s shirts?

(C)17. M: How much did the trousers you‘re wearing cost?

W: Well, the material cost me $58.00 and the tailor charged me with $20.58. Q: How much is all together?

(A)18. M: This menu is huge. I‘m starving. What looks good to you?

W: Don‘t bother. Everything sounds good to me. Q: Where does the conversation take place?

(D)19. M: Yes? Can I help you?

W: Yes. Do you still have that apartment for rent? Q: What‘s the probable relationship between the two?

(C)20. M: If we hurry we can take the subway and save am hour, can‘t we?

W: Yes, the subway takes only half an hour to get there. Q: How long does it take to get there by the subway? Section C (Spot Dictation) 21. regular 26. In short 31. C 40. D

22. suit 27. form 33. A 42. C

23. competitive 28. result

35. C 44. D

24. prefer to 29. properly 37. C

38. B

25. Besides 30. benefit 39. C

Part Ⅱ. Reading Comprehension

32. D 41. A

34. B 43. D

36. B 45. D

46. Studying the optimists and the pessimists. 47. Misfortunes are their own fault and will last long. 48. Defeat is a temporary setback, which they‘ll challenge. 49. they give up more easily and get depressed more often. 50. trying to be optimistic is good to our study, work and health Part Ⅲ. Vocabulary and structure 51. D 60. B 69. C 78. B

52. A 61. C 70. C 79. D

53. D 62. A 71. A 80. A

54. B 63. D 72. D

55. A 64. C 73. D

56. C 65. C 74. A

57. B 66. A 75. B

58. C 67. B 76. C

59. D 68. B 77. C

Part Ⅳ: Close

81. D

90. C

99. A 82. A 91. B 100. C

Hobbies

Hobbies are activities in which one participates strictly for amusement. A hobby can be almost anything. Music is most popular. Many people play musical instruments. They play simply for fun in their free hours. Sports provide other favorite hobbies. Bicycling, skating, tennis and countless other sports are enjoyed by millions of people.

Some people collect things as a hobby. Stamps, coins, and paintings are all popular collections, and valuable, too. There are still hundreds of others, not necessarily valuable but still interesting, such as seashell collections, bottle collections, and so on. Gardening and cooking are two examples of common activities that become hobbies for many people. They devote a great deal of their spare time to them.

My hobby is playing guitar. I have been playing it since my first year in collage. I like to sing along when I play, too. My friends tell me that I am very good at it, but I don‘t know whether it is true. To me it is just an enjoyable hobby.

福建省高校专升本统一招生考试

英语水平测试样题(2)

(非英语专业)

PartⅠ. Listening Comprehension

Section A: 10 Statements

Directions: In this section, you will hear 10 statements. Each sentence will be spoken just once. The sentence you hear will not be written out for you. After you hear each sentence, read the four choices in your test paper, marked, A, B, C, and D, and decide which one is closest in meaning to the sentence you heard. Then, on your Answer Sheet, find the number of the question and fill in the space that corresponds to the letter of the answer you have chosen.

1. A. Channel Three Carries CBS news.

B. Channel Six carries CBS news.

C. Channel Thirteen carries CBS news.

D. Channel Thirty carries CBS news.

2. A. A used book is $6 cheaper than a new book.

B. A used book costs $2.50.

C. Mary saved $3.50. 83. A 92. D 84. D 93. D 85. A 94. B 86. B 95. A 87. C 96. C 88. D 97. C 89. B 98. B PartⅤ: Writing

D. A new book costs $8.50.

3. Bill‘s sister graduated.

B.Whne Bill graduated, his sister was proud of him.

C. Bill was very proud of his sister.

D. Bill was very proud when he graduated.

4. A. It is very dangerous to practice driving at the shopping center.

B. Some places are better to practice driving than the shopping center

C. It is better mot to practice driving at the shopping center.

D. The shopping center is the best place to practice driving.

5. A. Both of my children came.

B. Only my son came.

C. Only my daughter came.

D. Neither of my children came.

6. A. The new students are not homesick.

B. The new students used to be homesick, but they are mot homesick now.

C. The new students have not been very long.

D. since I have here longer than the new students, I am mot homesick.

7. A. Mrs. Smith has traveled less than her husband has.

B. Mrs. Smith always travels with her husband.

C. Mrs. Smith husband does not travel very far.

D. Neithe Mrs. Smith nor her husband travel very much any more.

8. A. You should go to Florida again this year.

B. Although you usually go to Florida, this year you should go to California instead.

C. This year you should go to Florida instead of to California.

D.You should return to California this year.

9. A. John always tells secrets.

B. John never tells secrets.

C. John is meant to tell secrets.

D. John keeps secrets.

10. A. Mr. Smith stopped drinking when his doctor told him that he had to.

B. Mr. Smith‘s doctor did not stop drinking.

C. Mr. Smith drinks in spite of his doctor‘s advice.

Section B: Conversations

Directions: In this section, you will hear 10 short conversations. At the end of each conversation, a question will be asked about what was said. The comversation and the question will be spoken only once. After each conversation, there will be a pause. During the pause, you must read the four choices marked A, B, C, and D, and deside which is the best answer. Then mark the corresponding letter on the Answer Sheet with a sing line through the center.

11. A. To the hospital

B. To the beach.

C. To the a department store.

D. To a parking area.

12. A. Registration.

B. When the line breaks.

C. People who don‘t wait their turn.

D. How long the line is.

13. A. Because he wanted to meet the woman‘s parents.

B. Because he didn‘t know the woman‘s plans.

C. Because he goes to a country house each August.

D. Because he won‘t be able to take a holiday.

15. A. Friends.

B. Late for the meeting.

C. Hurry to the meeting.

D. Take a bus.

16. A. Friends.

B. Doctor and patient.

C. Solesman and consumer.

D. Teacher and student.

17. A. He can‘t read the clock.

B. He can‘t write.

C. He can‘t speak.

D. He can‘t read books.

18. A. 5:10 B. 5:00

C. 10:05 D. 9:55

19. A. In a bakery. B. In a restaurant.

C. On a farm. D, Ina hotel.

20. A.$5. B. $4.5.

C.$2.5. D.$9.

Section C:

Directions: In this section, you will hear one short passage. At the end of the passage, you will hear five questions, both the passage and the questions will be spoken twice. After you hear the question, you must choos the best answer from the four choices marked A, B, C, and D. then mark the corresponding letter on the Answer Sheet with a single line through the center.

1. Who is the speaker?

A. The head of the student organization.

B. The dean of students.

C. The director of Butler Hall.

D. A college professor.

2. Which group of students is the speaker addressing?

A. Those who will be on campus during a vacation.

B. Those who work part-time in the administration of –fices.

C. Those who normally live Butler Hall.

D. Those who will be moving on campus in a few months.

3. Which season of the year is it?

A. Spring. B. Summer.

C. Fall. D. winter.

4. For how long will the dormitories remain closed?

A. For weekend. B. For five days.

C. for ten days. D. For two weeks.

5. Which statement is TRUE about college facilities during the vacation period?

A. Only a few facilities will be closed.

B. Most facilities will be closed.

C. Most facilities will operate on a reduced schedule.

D. All facilities will be open.

PartⅡ. Reading comprehension

Directions: There are 4passages in this part. Each of the first three passages is followed by some questions or unfinished statements. For each of them there are four choices marked A), B), C) and D). you should decide on the best choice. Answer the questions on the four passages. Questions 26 to 30 are based on the following passage.

When we meet another person for the first time, we are actually flooded with new information. Almost at once, we notice his appearance, style of dress, and monner of speech. Furthermore, as we listen to what he has to say and observe the things he does, we begin to form some ideas of what kind of person hisand what he intends to do. As you know from your own experience, though, we do not only gather these separate pieces of information. Instead, we go further and combine them into a unified picture. In short, we form an overall im pression of each person we meet-an impression that can be favorable or unfavorable. But how precisely do we perform this task? How do we combine so much different information into a clear first impression with such quick speed?

Expressed very simply our impressions of others seem to represent a weighted average of all information that can be gathered about them. That is, they reflect a process in which all information we have about others is averaged to gether—but with some facts, or input receiving greater sense. For example, in forming an impression of a new boss you would probably be influedced to a much greater degree by how this person gives you orders ( whether respectfully or not ) than by the color of his or her eyes. The fact that not all information about other persons affects our impressions of them to the same degree, raises an important question: Just what kinds of input receive the greatest weight? Again research provides some revealing(发人深思) an-swers.

26. This passage is mainly about_______.

A. how our first impressions are expressed.

B. how our first impressions are formed.

C. how we can favorably impress others.

D. how first impression affect our lives.

27. According to the passage, the first impression is_______.

A. the result of quick look.

B. not based on enough information.

C. a combination of pieces of information.

D. the observation of what a person does.

28. Research has shown that first impressions are generally more influenced by______.

A. the way others spesk.

B. appearance and styule of dress.

C. all information we have.

D. certain types of information at hand.

29. The word ―weight‖in the last paragraph is closest in meaning to_______.

A. amount B. research

C. importance D. burden

30. The following paragraph will most probably siscuss______.

A. wrong first impression of other people.

B. selected information for forming first impression.

C. the importance of first impression in job situation.

D. ways of making good first impression.

Questions 31 to 35 are based on the follwing passage.

It is plain that in the year 2020 everyone will have at his elbow several times more mechanical energy than he has to-day.

There will be advances in biological knowledge as far-reaching as those that have been made in physics.

We are only beginning to learn that we can control ourbiological environment as well as our physical world population: by Malthus in about 1800‘by Cripples in about 1900. it was and the second time by using the new fertilizers. In the year 2020, starvation will be headed off by the control of the dis-eases and the herdity(遗传) of plants and animals –by shaping our own biological environment.

Now I come back to the haunting theme of automation. The most common species in the factory today is the man who works or minds a simple in the factory today is the man who works or minds a simple machine—the operator. By the year 2020, the repedtitive tasks of industry will be taken over by the machines, as the heavy tasks were over long ago; and the mental tedium(乏味) will go the way of physi cal exhaustion. Thoday we still distinguish, even among repetitive jobs, between the skilled and the unskilled; but in the year 2020 all repetition will be unskilled. We simply waste our time if we oppose this change; it is as inevitable as the year 2020 itself.

31. The article was written to _______.

A. warn us of the impending(即将发生) starvation

B. present facts about life in the near future

C. oppose biological advances

D. warn of the evil side of automation

32. Advances in biological knowledge

A. kept pace with advances in physics

B. responsible for the invention of new machines

C. surpassed those in physics

D. lagged behind those in physics

33. According to the passage, starvation_________.

A. can be predicted B. is unavoidable

C. can be prevented D. is mainly caused by poor agriculture

34. Repetitive tasks in industry lead to _________.

A. physical exhaustion B. mental stimulation

C. mental exhaustion D. extinction

35. If the predictions of the writer are realized, the demand for the unskilled workers in 21st

century will be_________.

A. very high B. very low

C. the same as today D. constantly rising

Questions 36 to 40 are based on the following passge.

Psychologists now believe that noise has a considerable effect on people‘s attitudes and behavior. Experiments have proved that in noisy situations (even temporary ones ), people behave more irritably and less cooperatively; in more permanent noisy situations, many people cannot work hard, and they suffer from severe anxiety as well as other psychologecal problems. However psychologists distinguish between“sound”and “noise”.“Sound”is measured physically in decibels.“Noise”cannot be measured in the same way because it refers to the psychological effect of sound and its level of ―intensity‖depends on the situation. Thus, for passengers at an airport who expect to hear airplanes taking off and landing, there may be a lot of sound, but not much noise (that is, they are not botered by the noise). By contrast, if you are at a concert and two people behind you are whispering you feel they are talking noisily even if there is not much sound. You notice the noise because it affects you psychologically. Both sound and noise can have negative effects, but what is most important is if the person has control over the sound. People walking down the street with earphones listening to music that they ecjoy, are receiving a lot of decibels of sound, but they are probably happy hearing sounds that they control. On the other hand, people in the street without earphones must tolerate a lot of noise which they have no control over. It is noise pollution that we need to control in order to help people live more happily.

36. According to the passage people_________.

A. can not work better in a noisy situation

B. will suffer from complete deafness because of noise pollution

C. can be psychologically affected by working in very noisy factories

D. may cooperate well in a noisy surrounding

37. ―Sound‖, as defined by the psychologist,_________.

A. can be measured in the same way that ―noise‖ in measured

B. may be extremely harmful to health

C. is not at all different from ―noise‖

D. can be measured by machines

38. Peple waiting at an airport_________.

A. enjoy hearing airplanes taking off and landing

B. are usually not troubled by the noise

C. can easily tell sound from noise

D. are often physically affected by the noise

39. People enjoy listenting to music________.

A. though they are receiving a lot of decibels of sound in fact

B. because it does not have any negative effect

C. because they do not have to tolerate the noise around them

D. even though it is sometimes unpleasant hearing strange sounds

40. We can conclude from the passage that we need to control noise pollution if__________.

A. we want to stay both psychologically and physically healthy

B. we don‘t want to be physically dent(削弱)

C. we want to cooperate well

D. we don‘t want to be anxious

Questions 41 to 45 are based on the following passage. Complete each of the sentences with less than 10 words.

It seems to me that many British newspapers aren‘t really newspaper at all. They contain news. It is true, but much of this news only appears in print because it is guaranteed to shock, surprise appears in print because it is guaranteed to shock, surprise or cause a chuckle(轻声笑).

What should we expect to find in a real newspaper? Interesting political articles? Accurate report of what has been happening in distant corners of the world? Full coverage of great sporting event? In depth interviews with leading personalities? It is a sad fact that in Britain the real newspapers, the ones that reort the facts, sell in thousands, while the popular papers that set out to shock or amuse have a circulation of several million. One inescapable(不可避免) conclusion is that the vast majority of British readers do not really want a proper newspaper at all. They just want a few pages of entertainment.

I buy the same newspaper every day. In this paper, political matters, both British and foreign, are covered in full. The editorial column may support government policy on one issue and oppose it on another. There is a full page of book reviews and quoted daily. So are the exchange rates of the world‘s major currencies. The sports correspondents are among the best in the country, while the standard of the readers‘ letters in absolutely first class.

If an intelligent person were to find a copy of this paper 50 years from now. he or she would still find it entertaining, interesting and instructive.

So my favorite newspaper is obviously very different from those popular papers that have a circulation of several million. But that does not mean that it is ―better‖ or that they are ―worse‖. Weare not comparing like with dislike. A publisher printing a newspaper with a circulation of several million is running a highly successful commercial operation. The people who buy this product are obviously satisfied customers and in a free society everybody should have the right to buy whatever kind of newspaper he pleases.

41. What kind of news can be found most in the newspaper with a circulation of several millions?

42. What does the author conclude about the British readers?

43. What is the attiude of the author toward the popular papers?

44. What kind of newspaper does the author always buy?

45. What‘s the best title for the passage?

Part Ⅲ. Vocabulary and Structure

Directions: There are 30 incomplete sentences in this part. For each sentence there are four choices marked A), B), C), and D). Choose the One that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the center.

46. The________child was learning to walk again gradually.

A) broken B) harmed

C) injured D) enable

47. It is high time you_______what a bad impression your impatrience makes on people.

A) realized B) realize

C) will realize D) should realize

48. The car was repaired but not quite to my________.

A) joy B) pleasure

C) attraction D) satisfaction

49. He promised me that the messagea_________at once.

A) could be sent B) would be sent

C) must be sent D) be sent

50. All things_______, the planned trip will have to be called off.

A) be considered B) considered

C) considering D) having considered

51. I‘m going to the hairdresser‘s to________.

A) have cut my hair B) cut my hair

C) have my hair cut D) cut me my hair

52. He hurried to the station_______himself two bours early for the train.

A) to find B) only to find

C) finding D)to have found

53. They seem to have no interest in________.

A) mutual B) only to find

C) common D) usual

54. You are late for the meeting.________on time next time.

A) Do be B) To be surely

C) Must be D) Make sure

55. One day I________a newspaper article about the retirement of an English professor at a nearby state college.

A) came across B) came about

C) came after D) came at

56. After seeing the film,__________.

A) the book was read by him

B) the book made him want to read it

C) he wanted to read the book

D) the reading of the book interested him

57. I was startled when the waiter brought me the_________for I hadn‘t thought chicken was so dear.

A) massage B) menu

C) note D) paper

58. Now, the factory produces__________all the factories in this city did in 1949

A) ten times much chemicals

B) as ten times much chemical

C) much chemicals as ten times as

D) ten times as much chemicals as

59. The boy was________by car and taken to hospital.

A) run off B) run out

C)run over D) run through

60. The factory is said________in a fire two years ago

A) to have been destroyed

B) to be destroyed

C) to destroy

D) to have destoyed

61. Mother‘s only objection________our going out was that it was too late

A) for B) to

C) against D) with

62. There were only a_______number of students in the playground.

A) few B) little

C) scarce D)small

63. We can assign the work to__________is reliable.

A) whose B) whom

C) whoever D) whomever

64. His explanation is not at all clear. I find it_______.

A) essential B) confusing

C) awful D) puzzled

65. The popularity of such schools is growing steadily________the hight tuition fees.

A) in spite of B) although

C) instead of D) even if

66. Not until 1868_________made the capital of the state of Georgia.

A) Atlante was B) was Atlanta

C) when Atlants was D) when was Atlanta

67. Hand in your papers when you_________the test.

A) are finishing B) will finish

C) will have finished D) have finished

68. They are nice boys and I‘m sure you‘ll get on_________them very well.

A) with B) by

C) toward D) beside

69. We________live in the country than in the city.

A) predfer to B) had better

C) would rather D) likes better to

70. We have not fixed the date________we shall start our holidays.

A) and B) that

C) when D) which

71. There is no doubt_______he will succeed in his business.

A) that B) whether

C) what D) if

72. The Department of State in the U.S. handles international__________.

A) business B) matters

C) things D) affairs

73. The size of the audience,________we had expected, was well over one thousand.

A) whom B) as

C) who D) that

74. Prices for bikes can run_________$250.

A) as high as B) so high to

C) too high to D) so high as

75. The money would be________in the afternoon

A) possible B) convenient

C) available D) satisfactory

Part Ⅳ. Translation

Directions:

The following 5 questions are taken from the passage in partⅡ. Translation them into Chinese and write your answers on the Answer Sheet.

76. A great deal of research has been performed on this question, and results points to the following answer: we perform this task through a special type of averaging.

77. There will be advances in biological knowledge as far-reaching as those that have been made in physics.

78. Today we still distinguish, even among repetitive jobs, between the skilled and the unsailled; but in the year2020 all repetition will be unskilled.

79. Psychologists now believe that noise has a considerable effect on people‘s attitudes and behavior.

80. Both sound and noise can have negative effects, but what is most important is if the person has control over the sound.

Part Ⅴ. Writing

Directions: For this part, you are to write a composition of no less than 100 words on ―、Health and Sports‖. Please write it on the ANSWER SHEET. The following are the key words for reference:

Health, important, healthy, enjoy, sports, exercise, increase, appetite, mind, sound, relaxed, and indulge.

参考答案

Part Ⅰ Listening Comprehension Script:

Key to Section A (Statements)

(C)1. CBS news is on Channel Thirteen at six o‘clock,

CBS (Columbia Broadcasting System).

(D)2. Mary bought a used book for $ 6, saving about $2.50.

(B)3. Bill‘s sister was very proud when he graduated.

(D)4. There is no better place to practice driving than the shopping center.

(A)5. I had just expected my daughter to come, but my son showed up too.

(C)6. When the new students have been here a little longer, I‘m sure that they will feel less

homesick.

(A)7. Mrs. Smith hasn‘t traveled nearly as much hedr husband has.

(B)8. Instead of going back to Florida, you ought to go to California this year.

(A)9. Although John never means to tell, he just can‘t keep a secret.

(D)10. Mr.Smith would not stop drinking even though the doctor told him that he must.

(B)11. M: Make sure you bring a bathing suit.

W: And you bring the towels and a picnic lunch.

Q: Where are they going?

(C)12. M: Registration always takes so long.

W: What bothers me is all the people who cut in line.

Q: What bothers the woman?

(B)13. M: I wish you had told me your holiday plans sooner.

W: I‘m sorry, I thought you know I go to my parents‘ country house each August. Q: Why is the man upset?

(D)14. M: If you are in a hurry you can take the subway.

If you want to look round, take a bus.

W: Actually I don‘t have to be at the meeting before noon.

Q: What will the woman probably do?

(C)15. M: Would you like to try on that coat, Madam?

W: Thank you. But I‘ll look further. I don‘t like that color.

Q: What‘s the proper relationship between the two?

(B)16. M: It is raining now. What shall we do then?

W: It doesn‘t matter. Let‘s go into the bar.

Q: Why do they go into the bar?

(A)17. M: Tony is six years old. He can read and write very well, but he can‘t tell the time. W: It‘s really hard for a child. Any way, he will be able to do it some day.

Q: What is the trouble with Tony?

(B)18. M: Did the flight for New York leave 10 minutes ago?

W: Yes, it is ten past five now.

Q: When did the plane leave?

(B)19. M: The special for today is baked chicken and lettuce.

W: No, thank you, Just bring me a cup of coffee, please.

Q: Where does this conversation most probably take place?

(A)20. M: How much are these jackets?

W: Five dollars each and nine dollars for two.

Q: How much does one jacket cost?

Question 21 to 25 are based on the following passage.

Thank you for coming to this meeting for students who will be remaining on campus During the 10—day winter break. As the dean of students, it is my responsibility to explain The vacation arrangements and to have you fill out forms giving the dates you will be on campus. To reduce heating cost, Butler Hall will be the only dormitory open, all the other dorms will close at 5 P.m. on Friday, Feb. 7th, and will not reopen until 6 p. m. on Feb. 16th. Once we have your completed forms, we will assign you a room in Butler Hall.

Please move all the belongings you will need to your temporary accommodation by the 7th, as it will not be possible to reopen the other dorms during these 10 days, once they have been closed. Most college facilities will be closed during the vacation. These facilities include the gymnasium, the college store and the dining halls. The library and computer center will be open, theough on a reduced schedule. Only the post office and the college administration offices will maintain their regular hours. Since I imagine most of you are staying here to finish up academic projects of one sort or another, let me wish you luck with your work. If you have any special problems, please do not hesitate to contact me at the dean‘s office.

Key:1. B 2. A 3. D 4. C 5. B

Part Ⅱ. Reading Comprehension

26. B 27. C 28. D 29. C 30. B 31. B

32. D 33. C 34. C 35. B 36. C 37. D

38. B 39. A 40. A

41. Shocking, surprising and amusing news.

42. They just need entertainment in news.

43. Let it be.

44. newspaper full of facts.

45. My opinion on the newspaper

Part Ⅲ. Vocabulary and Structure

46. C 47. A 48. D 49. D 50. B 51. C

52. B 53. C 54. A 55. A 56. C 57. B

58. D 59. C 60. A 61. B 62. D 63. C

64. B 65. A 66. B 67. D 68. A 69. C

70. C 71. A 72. D 73. B 74. A 75. C

Part Ⅳ. Translation

76. A great deal of research has been performed on this question, and results points to the following answer: we perforn this task throngh a special type of averaging.

就这一问题曾做过大量的研究,其结果揭示出这样一个答案:我们是通过一种特殊的平均化方式来形成第一印象的。

77. There will be advances in bioloical knowledge as farreaching as those that have been made in physics.

生物学知识的发展将像物理学的发展一样具有广泛的影响。

78. Today we still distinguish, even among repetitive jobs, between the skilled and the unskilled; but in the year 2020 all repetition will be unskilled.

今天我们甚至在重复性的工作中仍然要分清技术工种和非技术工种,但是到了20xx年,所有重复性的工作都将是非技术性工作了。

79. Psychologists now believe that noise has a considerable effect on people‘s attitudes and behavior.

现在心理学家们座落为噪音对人们的态度和行为有相当大的影响。

80. Both sound and noise can have negative effects, but what is most important is if the person has control over the sound.

声音和噪音都有副作用,但是最重要的是人是否能够控制住声音。

Part Ⅴ. Writing

Sample Composition

Health and Sports

Good health is very important to everyone. A healthy person can always be energetic and enjoy life what ever things may be. With poor health, a person can not achieve much success even though he is well educated.

Sports help everyone to keep healthy. Physical exercises can not only increase the circulation of the blood but also appetite and digestion. Sports can also make our minds sound. While playing we take our minds off work and study. As a result, our minds are relaxed.

Since sports can bring good health, we should indulge in sports for a while every day no matter how busy we are.

福建省高校专升本统一招生考试

《高等数学》考试大纲

一、考试范围

第一章 函数、极限与连续

第二章 导数与微分

第三章 微分学及应用

第四章 一元函数积分学

第五章 空间解析几何

第八章 常微分方程

第一章 函数、极阻与连续

(一)考核知识点

1、一元函数的定义。

2、函数的表示法(包括分段表示法)。

3、函数的简单性——有界性、单调性、奇偶性、周期性。

4、反函数及其图形。

5、复合函数。

6、基本初等函数与初等函数(包括它们的定义、定义区间、简单性态和图形)。

7、数列概念。

8、数列的极限。

9、收敛数列的性质——有界性、唯一性。

10、数列极限的存在准则——单调有界准则。

11、函数的极限(包括当和时,函数极限的定义及左、右极限的定义)。

12、函数极限的存在。

13、函数极限的存在准则——夹逼准则。

14、极限的四则运算法则(包括数列极限与函数极限)。

15、两个重要极限:

骣lim?1+??x桫sinx1÷lim=1。 ,=e÷÷x?0xx2

16、无穷小量的概念及其运算性质。

17、无穷小量的比较。

18、无穷大量及其与无穷小量的关系。

19、函数极限与无穷小量的关系。

20、函数的连续性。

21、函数的间断点。

22、连续函数的和、差、积、商及复合的连续性。

23、初等函数的连续性。

24、闭区间上连续函数的性质。

(二)考试要求

函数是数学中最重要的基本概念之一,它是客观世界中量与量之间的依存关系在数学中的反映,也是高等数学的主要研究对象。极限理论是高等数学的基石,函数连续性的概念就在它的基础上建立起来的,极限也是研究导数、积分、级数等必不可少的基本概念和工具。

本章总的要求是:深刻理解一元函数的定义;掌握函数的表示法和函数的简单性态;理解反函数概念和复合函数概念;熟练掌握基本初等函数和了解什么是初等函数。深刻理解极限概念;了解极限的两个存在准则——单调有界准则和夹逼准则;熟练掌握极限的四则运算法则;牢固掌握两个重要极限;理解无穷小量,掌握它的性质;掌握无穷小量的比较;理解无穷大量及其与无穷小量的关系;理解极限与无穷小量的关系;理解函数连续性的概念;了解函数的间断点;熟练掌握连续函数的性质;掌握初等函数的连续性及闭区间上连续函数的性质。

本章考试的重点是:函数的定义;基本初等函数;极限概念与极限运算;无穷小的比较;连续概念与初等函数的连续性。

第二章 导数与微分

(一)考核知识点

1、导数的定义。

2、导数的几何意义。

3、导数作为函数对自变量的变化率的概念。

4、平面曲线的切线与法线。

5、函数可导与连续的关系。

6、可导函数的和、差、积、商的求导运算法则。

7、复合函数的求导法则。

8、反函数的求导法则。

9、基本初等函数的求导公式及初等函数的求导问题。

10、高阶导数。

11、隐函数求导和取对数求导法。

12、由参数方程所确定的函数的求导法。

13、微分的定义。

14、微分的基本公式、运算法则和一阶微分形式不变法。

(二)考试要求

导数概念是根据解决实际问题的需要,在前一章函数与极限这两个概念的基础上建立起来的,它是微分学中最重要的概念。微分概念是微分学中又一个重要概念,它与导数有着密切的联系。两者在科学技术与工程实际中有着广泛的应用。

本章总的要求是:深刻理解导数的定义,了解它的几何意义和它作为变化率的概念;掌握平面曲线的切线方程和法线方程的求法;理解函数可导与连续的关系;熟练掌握函数和、差、积、商求导的运算法则、复合函数求导法则、反函数求导法则;熟练掌握基本初等函数

的求导公式和了解初等函数的求导问题;掌握隐函数求导法、取对数求导法、由参数方程所确定的函数求导法;理解高阶导数的定义;熟练掌握微分的运算法则及一阶微分形式不变性。

本章考试的重点是:导数的定义及其几何意义;导数作为变化率的概念;可导函数的和、差、积、商的求导运算法则;复合函数求导法则;初等函数的求导问题;微分定义。

第三章 微分学应用

(一)考核知识点

1、微分中值定理——罗尔定理、拉格朗日定理、柯西定理。

2、罗必塔法则。

3、函数增减性的判定。

4、函数的极值及其求法。

5、函数的最大、最小值及其应用问题。

6、曲线的凹向及其判定法。

7、拐点及其求法。

8、函数作图。

9、弧微分。

(二)考试要求

微分学应用以导数为主要工具,结合诸如函数、极限、连续等概念,综合地用来对函数进行较全面的研究以及解决一些较简单的实际问题。微分学应用的理论基础是微分中值定理。

本章总的要求是:深刻理解微分中值定理;熟练掌握罗必塔法则;掌握函数增减性的判定;理解函数极值的概念,并掌握其求法;理解函数最大值、最小值的意义,掌握其求法,并能解决简单的最大、最小值应用问题;了解曲线的凹向和拐点的含义,并能掌握其求法;掌握函数作图的主要步骤;知道弧微分概念及其计算公式。

本章考试的重点是:微分中值定理;罗必塔法则;函数增减性的判定;函数的极值及其求法;函数的最大、最小值及其应用问题。

第四章 一元函数积分法

(一)考核知识点

1、原函数的定义。

2、不定积分的定义。

3、原函数与不定积分的几何意义。

4、不定积分的基本性质。

5、基本积分公式。

6、不定积分的分项积分法则。

7、换元积分法则。

8、分部积分法则。

9、简单有理函数和可化为简单有理函数的积分法。

10、定积分的定义及其存在定理。

11、定积分的基本性质——对区间的可加性、线性性质、估值不等式。

12、定积分的中值定理(包括积分均值)。

13、微积分学基本定理。

14、牛顿——莱布尼兹公式。

15、定积分的换元积分法则。

16、定积分的分部积分法则。

17、两种广义积分——无界函数的广义积分及积分区间为无穷区间的广义积分。

18、定积分的应用——几何应用和物理应用。

(二)考试要求

与加法有逆运算减法、乘法有逆运算除法一样,求导法也有逆运算,这就是不定积分法。与导数概念的产生一样,定积分概念也是由解决实际问题的需要而产生的。本章内容丰富,概念性强。

本章总的要求是:深刻理解原函数与不定积分的定义;理解不定积分的基本性质;牢固掌握基本积分公式;熟练掌握并能灵活运用分项积分法则、换元积分法则与分部积分法则; 掌握简单有理函数和可化为简单有理函数的积分法。深刻理解定积分的定义及其存在定理;理解定积分的基本性质和定积分的中值定理;深刻理解并熟练掌握微积分学基本定理;理解并掌握牛顿——莱布尼兹公式;熟练掌握定积分的换元积分法则和分部积分法则;理解两种广义积分的概念并掌握它们的求法;掌握定积分在几何和物理方面的应用。

本章考试的重点是:原函数与不定积分概念;基本积分公式;换元积分法则与分部积分法则;定积分的概念;定积分的中值定理;微积分学基本定理;牛顿——莱布尼兹公式;定积分的换元积分法则,定积分的几何应用。

第五章 空间解析几何

(一)考核知识点

1、空间直角坐标系、两点之间的距离公式。

2、向量概念、方向余弦与方向数。

3、向量的运算、向量平行垂直的条件。

4、平面方程。

5、空间直线方程。

6、平面、直线间的平行垂直关系。

7、曲面与空间曲线方程。

8、二次曲面简介。

(二)考试要求

与平面解析几何一样,空间解析几何研究的两个基本问题是:

(1)已知构成曲面和曲线的几何条件,建立它们的方程;(2)已知曲面或曲线的方程,研究它们的图形和特点。

本章总的要求是:理解空间直角坐标系;掌握两点之间的距离公式、向量概念、向量

的运算、向量平行垂直的条件、方向余弦与方向数。平面与空间直线的方程和它们之间的平行及垂直关系;掌握曲面与空间曲线的方程;掌握常用的几个二次曲面的标准方程和它们的图形。

本章考试的重点是:向量概念、向量的运算、向量平行及垂直的条件;平面的方程;直线的方程;球面方程;母线平行于坐标轴的柱面方程。

第八章 常微分方程

(一)考核知识点

1、微分方程的一般概念——微分方程的定义、阶、解、通解、初始条件、特解。

2、可分离变量的微分方程。

3、齐次方程。

4、一阶线性方程。

5、可降阶的三种特殊类型的方程:

y(n)=f(x);y"=f(x,y');y"=f(y,y')

6、二阶线性微分方程解的结构。

7、二阶常系数齐次线性微分方程。

8、二阶常系数非齐次线性微分方程。

9、用微分方程解决实际问题。

(二)考试要求

微分方程的起源与研究几何、力学、物理等方面的问题有着密切的联系,它的理论与方法几乎是与微积分学同时发展起来的,微分方程有着广泛的应用。到现代,它已经渗透到自然科学、工程技术、生物医学等各个领域。

本章总的要求是:理解微分方程的一般概念;熟练掌握可分离变量的方程、齐次方程、一阶线性方程的解法;掌握可降阶三种特殊类型的微分方程的解法;深刻理解二阶线性微分方程解的结构;熟练掌握二阶常系数齐次与非齐次线性微分方程的解法;掌握用微分方程解决实际问题的步骤。

本章考试的重点是:微分方程的一般概念;可分离变量的微分方程;一阶线性微分方程;二阶常系数线性齐次微分方程的解法;二阶常系数非齐次线性微分方程的特解的求法;识别微分方程的各种类型。

二、考试命题用书

《高等数学》,福建省教育厅组编,徐荣聪主编,庄兴无主审,厦门大学出版社20xx年8月第二版。

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