复变函数与积分变换期末考试-12-13-1-A-试题

大一英语期末考试试题精选

大一英语期末考试试题精选 又到一个学期的期末了，大家复习好大学英语了吗?为大家精心挑选了一份大学英语第一学期期末试卷，供大家复习使用，希望能够帮助到大家! 大学一年级英语试卷 Part II Reading Comprehension (30 %) Directions: There are four passages in this part. Each passage 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 and mark the corresponding letter on the Answer Sheetwith a single line through the center. Passage One Science is not a set of unquestionable results but a way of understanding the world around us. Its real work is slow. The scientific method , as many of us learned in school, is a gradual process that begins with a purpose or problem or question to be answered. It includes a list of materials, a procedure to follow, a set of observations to make and, finally, conclusions to reach. In medicine, when a new drug is proposed that might cure or control a disease, it is first tested on a large random group of people, and their reactions are then compared with those of another random group not given the drug. All reactions in both groups are carefully recorded and compared, and the drug is evaluated. All of this takes time and patience. It’s the result of course, that makes the best news—not the years of quiet work that characterize the bulk of scientific inquiry. After an experiment is concluded or an observation is made, the result continues to be examined critically. When it is submitted for publication, it goes to a group of the scientist’s colleagues, w ho review the work. Einstein was right when he said: “No amount of experimentation can ever prove me right, a single experiment can at any time prove me wrong.”

(完整版)复变函数与积分变换习题答案

一、将下列复数用代数式、三角式、指数式表示出来。 (1) i 解：2 cos sin 2 2 i i e i ππ π ==+ (2) -1 解：1cos sin i e i πππ-==+ (3) 1+ 解：()/3122cos /3sin /3i e i πππ+==+ (4) 1cos sin i αα-+ 解： 2221cos sin 2sin 2sin cos 2sin (sin cos )2 2 2 2 22 2sin cos()sin()2sin 222222 i i i i i e παα α α α α α αααπαπαα?? - ??? -+=+=+? ?=-+-= ??? (5) 3z 解：()3333cos3sin3i z r e r i θθθ==+ (6) 1i e + 解：()1cos1sin1i i e ee e i +==+ (7) 11i i -+ 解：3/411cos3/4sin 3/411i i i i e i i i πππ--==-==+++ 二、计算下列数值 (1) 解： 1ar 21ar 21ar 2 b i ctg k a b i ctg a b i ctg a π?? + ??? = =??=??? (2) 解：6 2263634632 22i k i i i i e i e e e i πππππππ?? ??++ ? ??? ????+ ????=+????====-+? ??=-?

(3) i i 解：( )2222i i k k i i e e ππππ???? +-+ ? ??? ?? == (4) 解：( ) 1/2222i i k k e e ππππ???? ++ ? ??? ?? == (5) cos5α 解：由于：()()5 5 2cos5i i e e ααα-+=， 而： ()()()() ()()()() 5 5 5 55 5 5 5 55 cos sin cos sin cos sin cos sin n n i n n n n i n n e i C i e i C i αααααααααα-=--==+==-=-∑∑ 所以： ()()()()()()()()()()() 5555055550 4 3 2 5 3 543251cos5cos sin cos sin 21 cos sin 112 5cos sin cos sin cos 5cos sin 10cos sin cos n n n n n n n n n n n C i i C i i C i ααααααααααααααααα --=--=?? =+-????=+-??=++=-+∑∑ (6) sin5α 解：由于：()() 5 5 2sin 5i i e e ααα--=， 所以： ()()()()()()()()()()() () 5555055550 5234 245552341sin 5cos sin cos sin 21 cos sin 1121 sin cos sin sin cos sin 10cos sin 5sin cos n n n n n n n n n n n C i i i C i i i C i C i i ααααααααααααααααα --=--=?? =--? ??? =--??=++=-+∑∑ (7) cos cos2cos n ααα+++L L 解：

大一英语上学期期末考试试卷

2010级大学英语第一学期期末考试(A卷) Jan., 2011 Part II Reading Comprehension (30 %) Directions: There are four passages in this part. Each passage 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 and mark the corresponding letter on the Answer Sheet with a single line through the center. Passage One Science is not a set of unquestionable results but a way of understanding the world around us. Its real work is slow. The scientific method , as many of us learned in school, is a gradual process that begins with a purpose or problem or question to be answered. It includes a list of materials, a procedure to follow, a set of observations to make and, finally, conclusions to reach. In medicine, when a new drug is proposed that might cure or control a disease, it is first tested on a large random group of people, and their reactions are then compared with those of another random group not given the drug. All reactions in both groups are carefully recorded and compared, and the drug is evaluated. All of this takes time and patience. It’s the result of course, that makes the best news—not the years of quiet work that characterize the bulk of scientific inquiry. After an experiment is concluded or an observation is made, the result continues to be examined critically. When it is submitted for publication, it goes to a group of the scientist’s colleagues, who review the work. Einstein was right when he said: “No amount of experimentation can ever prove me right, a single experiment can at any time prove me wrong.” In August 1996, NASA announced the discovery in Antarctica of a meteorite（流星） from Mars that might contain evidence of ancient life on another world. As President Clinton said that day, the possibility that life existed on Mars billions of years ago was potentially one of the great discoveries of our time. After the excitement wore down and initial papers were published, other researchers began looking at samples from the same meteorite. Some concluded that the “evidence of life”was mostly contamination from Antarctic ice or that there was nothing organic at all in the rock. Was this a failure of science, as some news reports trumpeted? No! It was a good example of the scientific method working the way it is supposed to. Scientists spend years on research, announce their findings, and these findings

大学英语 期末试卷题型

《大学英语3》期末考试题型: 1、听力理解：25%（共25题，每题1分） 短对话7个、篇章理解2篇、复合式听写1篇，共25题，25分。 2、选词填空题：10% （共10题，每题1分） 3、阅读理解：20% （1）、完型填空1篇，10题，每题1分 （2）、传统仔细阅读1篇，5题，每题2分 4、翻译：25% （1）、句子翻译（中文翻译成英文）：15% （5题，每题3分，15分） （2）、段落翻译（英文翻译成中文）：10% （1题，10分） 5、作文：20% 注意：考试课文范围： 《大学英语3（新世纪）》：第三册第1、2、3、5单元 出题范围： 1、复习所学单元的生词、词组、搭配等，第二部分选词填空题在课后练习中出题： 《大学英语3（新世纪）》：课后练习 Words In Action 中Ex. 2 2、认真复习课文，段落翻译（英译中）从课文的Text A（新世纪）中抽取。 3、认真复习课后练习，句子翻译（中译英）从课后练习Translation1中抽取。 4、其余题目均从试题库中抽取。 另：请各位《大学英语3》任课老师提醒学生自带耳机，期末考试中有听力题型。

《大学英语1》期末考试题型: 1、听力理解：25%（共25题，每题1分） 短对话8个、长对话2篇、章理解3篇，共25题，25分。 2、选词填空题：10% （共10题，每题1分） 3、阅读理解：20% 传统仔细阅读2篇，10题，每题2分 4、翻译：25% （1）、句子翻译（中文翻译成英文）：15% （5题，每题3分，15分） （2）、段落翻译（英文翻译成中文）：10% （1题，10分） 5、作文：20% 注意：考试课文范围： 《大学英语1（新世纪）》：第一册第1、2、4、5单元 出题范围： 1、复习所学单元的生词、词组、搭配等，第二部分选词填空题在课后练习中出题： 《大学英语1（新世纪）》：课后练习 Words In Action 中Ex. 2 2、认真复习课文，段落翻译（英译中）从课文的Text A（新世纪）中抽取。 3、认真复习课后练习，句子翻译（中译英）从课后练习Translation中抽取。 4、其余题目均从试题库中抽取。 另：请各位《大学英语1》任课老师提醒大一新生购买耳机，期末考试中有听力题型。

大一第二学期英语期末试卷

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C) He will go when he feels better. D) He won’t go as he hasn’t finished his work. 4. A) Check the timetable.B) Go to the railway station earlier. C) Travel on a later train.D) Cancel the trip earlier. 5. A) In New York.B) In Boston. C) In Newport.D) In Washington. 6. A) A clerk at the airport information desk. B) A clerk at the railway station information desk. C) A policeman. D) A taxi-driver. 7. A) A guest and a receptionist. B) A passenger and an air hostess. C) A customer and a shop assistant. D) A guest and a waitress. 8. A) He’s better.B) He’s feeling worse. C) He’s sick in bed.D) He has recovered. 9. A) The man didn’t want the woman to have her hair cut. B) The woman followed the man’s advice. C) The woman is wearing long hair now. D) The man didn’t care if the woman had her hair cut or not.

复变函数与积分变换公式

复变函数复习提纲 （一）复数的概念 1.复数的概念：z = X ? iy , X, y 是实数,x = Rez,y=lmz.r=_i. 中的幅角。 3）arg Z与arctan~y之间的关系如下: X y 当X 0, arg Z= arctan 丄； X y y -0,arg Z= arctan 二 ! X y y ：： O,arg Z= arctan -二 J X 4)三角表示：Z = Z(COS8 +isin0 ),其中日=argz；注：中间一定是“ +”号。 5)指数表示：Z = ZeF,其中V - arg z。 (二)复数的运算 1.加减法：若Z I=X I iy1, z2=X2 iy2,贝廿z1二z2= x1二x2i y1- y2 2.乘除法： 1)若z1 = x1 iy1, Z2 =X2 iy2,贝U 狂h[N×2 一y$2 i x2% x1y2 ； 乙_ X1+ i y_ (x1 十 i 和X—i y_ XX y*y y x；。X Z2 X2+ i% (对讪-X )i2y 2+2X222+ 2X22 2)若Z I=Iz I e i^,z2 =∣z2 e iθ ,则 Z1Z2 = ZIll Z2 e i(t1也； 3.乘幕与方根 1)若Z= Z(COS J isin * n (CoS n i Sinn )= n e i"。 2）幅角：在Z=O时，矢量与X轴正向的夹角, 记为Arg Z （多值函数）；主值arg Z 是位于（-理,二］注：两个复数不能比较大小 2.复数的表示

2)若 Z = IZ(COSB+isinT)=∣ze i ^,则 （三）复变函数 1?复变函 数： w = f z ,在几何上可以看作把 Z 平面上的一个点集 D 变到W 平面上的一个点集 G 的映射 . 2 ?复初等函数 1）指数函数：e z =e x cosy isiny ,在Z 平面处处可导，处处解析；且 注：e z 是以2二i 为周期的周期函数。（注意与实函数不同） 3）对数函数： LnZ=In z+i （argz + 2kιι） （k=0,±1,±2八）（多值函数）； 主值：In Z = Inz+iargz 。（单值函数） ?1 LnZ 的每一个主值分支In z 在除去原点及负实轴的 Z 平面内处处解析，且 Inz Z 注：负复数也有对数存在。 （与实函数不同） 3）乘幕与幕函数：a — e bLna （a = 0） ； Z b = e bLnZ （Zn 0） 注：在除去原点及负实轴的 Z 平面内处处解析，且 Z S -bz b j 。 Sin z,cos Z 在 Z 平面内解析，且 Sinz = cosz, CoSZ=-Sinz 注：有界性Sin z 兰1, cosz ≤1不再成立；（与实函数不同） Z ■ Z Z ■ Z ,,,, e -e e +e 4) 双曲函数 ShZ ,chz = 2 2 ShZ 奇函数，ChZ 是偶函数。ShZ I ChZ 在Z 平面内解析，且 ShZ =chz, ChZ i - ShZ O （四）解析函数的概念 1 ?复变函数的导数 1）点可导: f r fZ0；fZ 0 2）区域可导：f Z 在区域内点点可导。 2 ?解析函数的概念 1 f 日 +2kπ ..日 +2kπ ) Z n I cos ----------- 十 ISi n -------- I n n (k =0,12…n -1)(有n 个相异的值) 4）三角函数: iz -iz e -e Sin Z = 2i iz JZ . e +e , sin z , ,cos z ,tgz ,ctgz 2 cos z cosz Sin Z

大一英语期末期末考试试题内含答案[1]

大学英语预备阶段练习（一） （Unit 1~4） ⅠWord Building Directions: Fill in the blanks with the correct form of the words given in the brackets. 1.Thank you very much for your ____ advice. I followed it and succeeded at last. (value) 2.His business has ____ rapidly since his brother came to help. (development) 3.After a two-day discussion, we finally found a ____ to the difficult problem. (solve) 4.Prices ____ high for quite a while .People began to complain about it. (remaining) 5.I don’t think it ____ to finish all the work today. We can go on with it tomorrow.(necessity) 6.It is obviously not ____ to leave a 3-year-old boy alone at home. (properly) 7.The tourists saw a beautiful ____ when they climbed onto the top of the mountain.(scene) 8.Traveling in the desert is a challenging ____ to most people. ( inexperience) 9.____, I don’t think it possible to finish the task in two days. (person) 10.The government must make sure that the economy is developed in the right ____.(direct) ⅡVocabulary and Structure Directions: Choose the best one from the four choices to complete the sentence. 11.The temperature ____ throughout the day in that part of the country. A. very B. remains C. differs D. varies 12.The game is full of violence and will certainly have a bad ____ on young players. A. meaning B. pain C. loss D. influence 13.The warm-hearted elderly lady downstairs is always ____ to help others. A. real B. ready C. practical D. polite 14.The question is ____ difficult in the exam today. Don’t you think so? A. therefore B. since C. rather D. otherwise 15.She used to live in a lovely ____ building near the sea. A. 3-story B. 3-stories C. 3-classed D. 3-classes 16.There are different ____ of transport in big cities for you to choose when you go out. A. means B. mean C. meanings D. meaning 17.They did not take a rest until the job was ____ finished. A. straightly B. specially C. completely D. fairly 18.The bookstore owner ____ the old magazines with a new ones to attract more readers. A. required B. reviewed C. repeated D. replaced 19.Would you like to buy the book? It is ____ reading. A. worthy B. firm C. further D. worth 20.She wears sunglasses to ____ her eyes from the sunshine in summer. A. prepare B. produce C. protect D. provide 21.We all like her very much for her pleasant ____: kind, gentle and warm-hearted. A. character B. chance C. chairman D. skills 22.All the students enjoyed the wonderful ____ by the professor that afternoon. A. discussion B. lecture C. advice D. solution 23.If you have confidence in yourself first, you will not be _______ by others easily. A.won B. doubled C. defeated. D. delayed 24.The little girl developed a strong _______ on her new friends.

大一期末考试英语试题

01 Passage 1 Hypnotism (催眠术) is very old. Thousands of years ago people started to use it in Egypt. The use of hypnotism has grown very much since that time. Today, doctors and scientists are in almost every country hypnotize people to help them with their problems. What is hypnotism, and how does it work? Many people think that a hypnotist puts people to sleep. Then he makes the hypnotized people do strange things. This is not what a hypnotist does. Hypnotism is really just a way to relax the mind and body. What are some of the uses of hypnotism? We go to a hypnotist because w e have a problem. The problem makes us unhappy. The hypnotist asks us to think hard about something and relax. When we are relaxed, t he hypnotist gives us some ideas to help us with our problems. Hypnotism can help people to remember things. The police sometimes ask hypnotists to help them. For example, a man sees an accident. He forgets the license number of the car he sees. If he is hypnotized he may remember it. The police can then find the car and catch the driver. People who are hypnotized can also make mistakes or say something that isn't true. People remember what they think they saw. That may not be what really happened. The police don't hypnotize people who do something wrong. Why not? People who are hypnotized may say something that isn't true. A person who has done something bad has a good reason to say something that isn't true. 1. Hypnotist helps people by ____. [A] putting them to sleep [B] helping them to get relaxed [C] offering his ideas about their problems [D] making them forget their problems 2. When hypnotized, some people may say something that is not true, because ____. [A] they do not remember what has happened [B] they remember what they think has happened [C] they do not know what has happened [D] they are not interested in what has happened 3. According to the passage, which of the following is TRUE?____ [A] Hypnotism is very different form what it used to be. [B] When a person is hypnotized, his body gets relaxed, while his mind works hard. [C] Hypnotism is much more widely used today than it was thousands of years ago. [D] When hypnotized, a person will do something strange. 4. The passage mainly talks about ____. [A] how hypnotism works [B] the development of hypnotism [C] the use of hypnotism [D] the wonder of hypnotism

大一英语期末考试试卷

Testing Paper Unit 1, 4, 5 Sky：陈人智、吴斌、马琴、苏红光 Group________ Name__________ Score_________ I. Listening (30%) I).Listen to the dialog between Gary and Paul and choose the best answer to each of the questions you hear on the recording. (2×5=10) (Unit 1 Part II Listening I) （）1.A.Eating and drinking. B. Dancing to the music. C. Standing around at the party. D. Talking with his girlfriend. （）2.A.Women who stay home doing housework. B. Women who stimulate his intellect. C. Women who pursue their own careers. D. Women who enjoy reading novels. （）3.A. Cleaning and cooking. B. Fixing things around the house. C. Washing the car and collecting the trash. D. Watching television and taking out the garbage. （）4.A.They are the same as his. B. They are quite progressive for the times. C. They reflect the views of earlier generations. D. They were shaped by their own family life. （）5.A. Visit his friend, Bob. B. Remain at the party to try to make new friends. C. Meet a woman who shares his interest in literature. D. Return home alone and spend the night with his dog. II).Listen to the passage and decide whether the following statements are true or false. Write "T" for True and "F" for False in the spaces provided. (2×5=10) (Unit 4 Part III Practice One) ______6.Women and men play different roles in society because their physical structures are very different. ______7.Girl babies were found to differ a lot from boy babies in birth length, weight and irritability. ______8.Our parents, school, television and the Internet show us how we should behave. ______9.Male cartoon characters are usually more prominent than female characters. ______10.Nowadays, women are no longer expected to play their traditional roles. III).Listen to the interview and complete the following sentences with the exact words you hear(1×10=10) (Unit 1 Part Four Section III) 11. You throw a little boy a ball, and he will try to _______it 12. A baby boy will pick up a stick and _______it_______ a gun 13. When boys play with Barbie dolls, they like to _______their hair_______ 14. Boys couldn't_______ _______ if their hair is untidy 15. Boys grow their fingernails long because they're too _______ to _______ them. 16. At an early age, boys are attracted to _______ II Words and Expressions (40%) 1.assign __________________ 2.culturally__________________ 3.genetic _________________ 4.sex-biased__________________ 5.neatness ________________ 6.nursery_____________________ 7. carry over_______________ 8.fall behind __________________

大学英语精读1-期末考试卷及参考答案

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