高等数学第四册第三版数学物理方法电子书

高等数学第四册第三版数学物理方法答案(完整版)

高等数学 第四册（第三版） 数学物理方法 答案（完整版）

第一章 复数与复变函数（1）

1.计算

i) i(1) i i 2i;

1 2i2 i(1 2i)(3 4i)(2 i)i 5 10i2i 12

; 2 .

3 4i5i(3 4i)(3 4i) 59 1655

5551

(3). i;

(4).(1 i)4 [(1 i)2]2 ( 2i)2

4;(1 i)(2 i)(3 i)(1 3i)(3 i) 10i2

(a bi) 1

2

12

124

)]

12

isin )] (a b)(cos

2

isin);22

3.

设

z1

z1

z2 i;试用三角形式表示z1z2及z2

。

解：

z1 cos

4

isin

4

;z2

1 (cos isin);266

1 15 5

z1z2 [cos( ) isin( )] (cos isin);

2464621212 z1 2[cos( ) isin( )] 2(cos isin);z246461212

11.设z,z,z三点适合条件z z z 0及z z z 1;试证明z,z,z是一个内接于单位圆z=1的正三角形的顶点。

1

2

3

1

2

3

123

123

证明：z

unit 1 TextA

Love and logic: The story of a fallacy

爱情与逻辑：谬误的故事

1 I had my first date with Polly after I made the trade with my roommate Rob. That year every guy on campus had a leather jacket, and Rob couldn't stand the idea of being the only football player who didn't, so he made a pact that he'd give me his girl in exchange for my jacket. He wasn't the brightest guy. Polly wasn't too shrewd, either.

在我和室友罗伯的交易成功之后，我和波莉有了第一次约会。那一年校园里每个人都有件皮夹克，而罗伯是校足球队员中唯一一个没有皮夹克的，他一想到这个就受不了，于是他和我达成了一项协议，用他的女友换取我的夹克。他可不那么聪明，而他的女友波莉也不太精明。

unit 1 TextA

Love and logic: The story of a fallacy

爱情与逻辑：谬误的故事

1 I had my first date with Polly after I made the trade with my roommate Rob. That year every guy on campus had a leather jacket, and Rob couldn't stand the idea of being the only football player who didn't, so he made a pact that he'd give me his girl in exchange for my jacket. He wasn't the brightest guy. Polly wasn't too shrewd, either.

在我和室友罗伯的交易成功之后，我和波莉有了第一次约会。那一年校园里每个人都有件皮夹克，而罗伯是校足球队员中唯一一个没有皮夹克的，他一想到这个就受不了，于是他和我达成了一项协议，用他的女友换取我的夹克。他可不那么聪明，而他的女友波莉也不太精明。

unit 1 TextA

Love and logic: The story of a fallacy

爱情与逻辑：谬误的故事

1 I had my first date with Polly after I made the trade with my roommate Rob. That year every guy on campus had a leather jacket, and Rob couldn't stand the idea of being the only football player who didn't, so he made a pact that he'd give me his girl in exchange for my jacket. He wasn't the brightest guy. Polly wasn't too shrewd, either.

在我和室友罗伯的交易成功之后，我和波莉有了第一次约会。那一年校园里每个人都有件皮夹克，而罗伯是校足球队员中唯一一个没有皮夹克的，他一想到这个就受不了，于是他和我达成了一项协议，用他的女友换取我的夹克。他可不那么聪明，而他的女友波莉也不太精明。

unit 1 TextA

Love and logic: The story of a fallacy

爱情与逻辑：谬误的故事

1 I had my first date with Polly after I made the trade with my roommate Rob. That year every guy on campus had a leather jacket, and Rob couldn't stand the idea of being the only football player who didn't, so he made a pact that he'd give me his girl in exchange for my jacket. He wasn't the brightest guy. Polly wasn't too shrewd, either.

在我和室友罗伯的交易成功之后，我和波莉有了第一次约会。那一年校园里每个人都有件皮夹克，而罗伯是校足球队员中唯一一个没有皮夹克的，他一想到这个就受不了，于是他和我达成了一项协议，用他的女友换取我的夹克。他可不那么聪明，而他的女友波莉也不太精明。

1. 玛丽看到一个贼眉鼠眼的男人走进邻居家里。Mary saw a shifty-eyed man

walking into a neighbor’s house. 2. 鲍勃总是嘲笑我对服饰的眼光。Bob always sneers at my taste in clothes. 3. 打探别人的秘密是不礼貌的。It is impolite to pry into other’s

secrets.

4. 我想克里斯想要抢我的饭碗。I think Chris is after my job.

5. 她看到克里斯给他使的眼色，说话的声音便越来越小了。She trailed off,

silenced by the look Chris gave her.

6. 那些树枝干而易断。The branches were dry and brittle.

7. 收音机老是发出噼里啪啦的声响，我们几乎听不清里面说些什么。

8. The radio cracked so much that we could hardly hear what was said. 9. 地面向海倾斜。The land slopes down to the sea. 10. 他

亚里士多德是古希腊的哲学家和科学家。他的作品涵盖了许多学科，包括物理学、生物学、动物学、逻辑学、伦理学、诗歌、戏剧、音乐、语言学、政治和政府，构成了第一个综合的西方哲学体系。亚里士多德是第一个将人类的知识领域划分为不同学科的人，如数学，生物学和伦理学。他相信人所有的观念和所有的知识在根本上都是基于感知能力。他对自然科学的看法构成了他许多作品的基础。他几乎对他所处时期的每一个人类知识领域都作出了贡献。他的作品包含了人们所知的最早的关于逻辑的正式研究，即使在今天，亚里士多德哲学所涵盖的方方面面仍是学术研究的重要课题。他的哲学对所有的西方哲学理论的发展有着经久不衰的影响。在去世2,300多年后，亚里士多德仍是最有影响力的哲学家和科学家之一。

人们普遍认为，威廉?莎士比亚是最伟大的英语作家和世界杰出的戏剧家。他的剧本被译成多种语言，并且比其他任何剧作家的作品都上演得多。莎士比亚的早期作品大多是喜剧和历史剧。即使在今天，这些作品仍是同类作品中的杰作，享有绝佳声望。后来莎士比亚的创作主要是悲剧，其中一些作品，如《哈姆雷特》和《李尔王》，为其在整个西方文学界赢得了声誉。莎士比亚最显著的特点是其精彩的语言运用及具有普遍意义的主题。他创造了数千个英语词汇，其中

Unit 5

Speaking Chinese in America

在美国说中文

Once, at a dinner on the Monterey Peninsula, California, my mother whispered to me confidentially: \(brother's wife) pretends too hard to be a polite recipient! Why bother with such nominal courtesy? In the end, she always takes everything.\

有一次，在加州蒙特雷半岛上用餐时，我母亲私下悄悄地对我说：“嫂嫂想做个彬彬有礼的客人，但是装得太厉害了！何必费劲讲究形式上的客套呢？到最后她还是什么都要。”

My mother acted like a waixiao, an emigrant, no longer patient with old taboos and courtesies. To prove her point, she reached across the table to offer my elderly aun

第一单元

中庸思想是儒家思想的重要内容。孔子所谓的“中”不是指“折中”，而是指在认识和处理客观事物时的一种“适度”和“恰如其分”的方法。孔子主张不仅要把这种思想作为一种认识和处理事物的方法来看待，而且还通过自身修养和锻炼，把它融入自己的日常行为当中，使之成为一种美德。中庸思想是儒家思想的核心，也是中国传统文化的重要组成部分。从它形成到现在，一直为民族精神的构建、民族智慧的传播、民族文化的发展发挥着不可估量的作用。

The Doctrine of the Mean is the core ofConfucianism. The so-called “mean” by Confuciusdoesn’t mean “compromise” but a “moderate”and “just-right” way when understanding andhandling objective things. Confucius advocatedthat this thought should not only be treated as away to understand and deal with things but alsobe int

Unit1 Passage a

4. Fill in the blanks with the words given below. Change the form where necessary. applaud supposedly mirror devalue entail flexibility strive obligation consequently fulfill 1. Taxes are a(n) ____________ which may fall on everybody.

2. We ____________ the authority's decision not to close the hospital.

3. The doctor's instructions must be ____________ exactly; the sick man's life depends on it.

4. Do these opinion polls really ____________ what people are thinking?

5. I prefer to think of m