实用综合教程(第二版)课后练习答案

（完整版）新标准高职公共英语系列教材：实用综合教程（第二版）第二册UNIT5-UNIT8 习题答案Unit 05 : Modern CommunicationText A / ComprehensionA. Pair WorkComplete the following sentences orally according to the text.1. Where did Reilly come from?He came from a Chicago school .2. How much time did Reilly typically spend on texting and calling every day before he started the Amish Project?He sent 1,500 texts a month and spent 600 to 900 minutes on the phone.3. What did Reilly's friends play for fun?They played Words with Friends and Angry Birds.4. What drives Reilly crazy?That nobody is really doing anything, just sitting quiet and indulging in their cell phones drives him crazy.B. Main IdeaRead the text again. As you read, underline what you think are the most important ideas. Then, in one or two sentences, write the main idea of the text.It tells us what Reilly learned from living without electronic conveniences and how it changed his life.Vocabulary Building / ExercisesA. Match each word with their proper Chinese meaning.B. Fill in each of the following blanks with the proper form of the given words.1. Alex was almost speechless (speech) with anger and despair.2. I'm 25, have a nice flat, a good job and I'm not unattractive(attractive).3. Imposing speed restrictions(restrict) is easy, but forcing motorists to observe them difficult.4. I used to be a furniture dealer(deal).5. She would have loved to have a better-paying job with more responsibility (responsible).6. I knew I'd never find a parking(park) space in the Square.7. She received recognition(recognize) for her many achievements.8. She made frequent reference (refer) to a possible promotion during the talk.Grammar Tips / ExercisesA. Complete the following sentences based on the information given in Chinese.1. It is important to remember the time and the location of the meeting(记住会议的时间和地点).2. She wished to find the book she needed(找到她需要的书).3. I am glad to tell him the news (告诉他这一消息).4. My mother asked me to call her at the weekend(周末给她打电话).5. They left home early in the morning to catch the first train (以便赶上第一班火车).B. Each of the following sentences contains ONE mistake. Find it out and correct it.6. I got up earlier than usual in order to catching the first train.A B C D(D, catch)7. My biggest wish now is make friends with as many people as possible.A B C D (B, to make)8. It is high time that we encouraged our students working harder.A B C D(C, to work)9. Late at midnight, I heard someone to knock at the door twice.A B C D(D, knock)10. Finish the task within three days is next to impossible for such a youngman.A B C D (A, Finishing)Text B / ComprehensionA. Answer the following questions according to the text.1. How many emails do corporate users receive a day, according to a recent report in Business Week?According to a recent report in Business Week, corporate email users receive an average of 20 to 30 emails a day .2. What is spam?Spam is unwanted promotional email .3. Why can incoming email become a big problem if not managed properly? As users become distracted by these messages, they are more likely to lose track of other, more important messages and fall further behind in their work .4. What does Brightmail sell?Brightmail sells server-based software .5. Why can't email users depend fully on automated filters? Automated filters will never catch all of the spam, since spammers will continue to work hard in order to get their messages through. Apart from spam, useful emails will continue to increase in volume, as email becomes an increasing important method of communicating for business and personal purposes .B. Judge whether each of the following statements is true or false according to the text. Write T if it is true, or F if false.1. Email overload affects everyone today.2. Email users often spend time putting out fires.3. Software does not help email users very much.4. Automated filters can catch all kinds of spam.5. Software will provide the best solution to email overload in the end. Key: 1. F 2. F 3. F 4. F 5. FComprehensive ExercisesA. Choose the best answer.1. He sold his farm and ______ he had enough money for his journey.A. howeverB. thusC. yetD. also2. The next day when I went to meet John, I almost failed to _____ him in his Australian bush hat.A. recognizeB. discoverC. detectD. distract3. I would like you to feel that I am talking directly to you as you read ____ the book.A. outB. upC. throughD. in4. She is ______ behind with her school work because of her illness.A. stayingB. searchingC. graspingD. falling5. He was considered ______ of a hero in the town.A. somethingB. somewhatC. sometimeD. some6. We are justified in ______ equal rights at work.A. needingB. requiringC. demandingD. wanting7. The army defended the town ______ the enemy attack.A. againstB. toC. withD. over8. I want ______ pencils, please!A. two of dozenB. two dozenC. two dozensD. two dozens ofB. Fill in the blanks with the words given below.Twenty years ago, kids in school had never even heard of the Internet. Now, I'll bet you can't find a (1) single person in your school who hasn't at least heard of it. In fact, many of us use it on a (2)regular basis and even have access to it from our homes!The Internet is a vast resource for all types of (3) information. You may enjoy using it to do research for a school project, downloading your(4) favorite songs or communicating with friends and family. However, when you email people, you have to be very careful. If you've never met the person that you're communicating with (5) online, you could be on dangerous ground! You should never give away any(6) personal information to someone you don't know, not even your name! And just like you can't believe the information on every (7) website out there, you can't always trust the strangers you “meet” on the Internet, either. Just like you could make up things about yourself when chatting with someone online, he or she could do the (8) same to you!C. Translate the following sentences into English using the words or phrases you have learned in this unit.1. 手机的发明为我们提供了各种方便。

实用综合教程第二版第4册课后练习题含答案本文是实用综合教程第二版第4册的课后练习题，含有答案。

本教程主要介绍实用的写作技能、演讲技巧、职场素养、商务礼仪等知识，帮助提升读者的实用能力。

第一章课后练习题答案1. 介绍自己的三个长处我的三个长处是：•沟通能力较强，善于交流；•思维敏捷，能够迅速理清问题；•有一定的组织能力，能够有效规划工作流程。

2. 演讲前的准备工作演讲前的准备工作包括：•确定演讲主题和演讲目的；•进行资料收集与整理；•制作幻灯片及其他必要材料；•练习演讲并积极改进。

3. 致谢信的写作流程致谢信的写作流程一般包括以下步骤：•确定致谢的对象；•表达感谢之情；•简述对方帮助的具体内容；•再次表达感谢之情；•结尾祝福。

第二章课后练习题答案1. 如何减少工作中的压力减少工作中的压力可以从以下方面入手：•合理安排工作时间，避免工作过度紧张；•采取适当的放松方法，如运动、旅游等；•学会转换焦点，避免全身心投入工作；•培养良好的人际关系，寻求他人帮助和支持。

2. 商务会议注意事项商务会议需要注意以下事项：•准备充分，制定会议议程；•控制时间，避免会议过长；•保持专注，尽量避免被其他事情干扰；•做好记录，备份会议记录及相关文件；•会后总结，让会议更有价值。

结语以上为实用综合教程第二版第4册课后练习题的答案，希望能够对读者掌握本书的核心内容有所帮助。

阅读本教程并完成练习，将有助于提高读者的写作技巧、演讲能力、职场素养、商务礼仪等方面的综合实用能力。

Unit 1 The Information AgeB.Fill in each of the following blanks with the proper form of the given words.(P9)1.Though he is the youngest,he is the most conversational(conversation)guy in our office.2.The form(formal) must be filled out in black ink.3.He is well connected (connect)socially.4.I shall be back in an instant.(instantly)5.Ted Robinson has been worried(worry)all week.6.Instant messaging can be abbreviated (abbreviation)as IM.7.There’s been a great improvement (improve)in his math this term.8.The teacher called the monitors(monitor)of the three classes for a meeting.B.Choose the best answer to complete each sentence(P11)语法直接引语与间接引语1.He asked___D_____for the iPad.A.did I pay how muchB.I paid how muchC.how much did I payD.how much I paid2.She suggested that they should go to the movies B .A.after eveningB.that eveningC.the other eveningD.yesterday evening3.John asked me C to visit his uncle’s farm with him.A.how would I likeB.if or not would I likeC.whether I would likeD.which I would like4.He asked____D____with me.A.what the matter isB.what the matter wasC.what’s the matterD.what was the matter5. She wanted to know___B_____child it was at the door.A.thatB.WhoseC.whatD.whomA.Choose the best answer for each blank(P15)1.It is reported that a project to build the third longest bridge in the world is C these days.A.on the way（在途中）B.in this wayC.under way（进行中）D.get in the way（妨碍）2.Jenny,my closest friend,often B her secrets with me.A.speaksB.shares（分享）C.reportsD.finds3.He said that he would travel abroad B .A.nowB.the following year（间接引语中时间变化规则）C.two years beforeD.two years ago4.This river is B that one.A.three times long thanB.three times as long asC.as three times long asD.three times as longer as5. At last,excited and surprised,he found a D treasure in the cave.A.priceB.Priced（附有定价的）C.low-pricedD.priceless（无价的，价值连城的）6. I helped my mother buy two B__eggs in the supermarket.A.dozensB.dozenC.dozens ofD.dozen of7. It’s noisy outside.Please speak loudly to make yourself C .A.understandB.be understoodC.understood(make sb.done表示被理解)D.understanding8.He did not know C__.A.how could he get thereB.how he can get thereC.how to get thereD.how could get thereC.Translate the following sentences into English using the words or phrases given.(P16)1.你是否用过在线词典？(online)Did you ever use an online dictionary?2.我通过电子邮件与高中同学保持联系。

Text A / ComprehensionA. Choose the best answer according to the text.Key: 1.A 2. B 3. C 4. A 5. BB. Complete the following sentences orally with your partner.1.Key: it was already a heavy burden for his parents to support him2.Key: check the candidates’ references3.Key: the time slot was ideal; the restaurant wasn’t very far from his college4.Key: Sir, I will do my best. I’m from the countryside and I’m good at hard work. And I can work two days for free as a trial5.Key: excited and thankful.C. Make a dialogue with your partner according to the situation described below.W: Hello…B: You are too late.W: But sir, I’ll do my best. I’m from the countryside and I’m good at hard work. And I can work two days for free as a trial .B: I want a boy who not only works hard but also keeps clean . Remember it is a restaurant. But look at your hands and clothes !W: Yes, I’m not very clean now. But you know, I have been hunti ng for a job for a whole day . B: Really? It is difficult to look for jobs nowadays.W: Oh, sir, I’ll keep myself clean and tidy . I promise I will work very hard, sir, if only you could give me this chance .B: All right, all right, I’ll give you a tr y .W: Thank you, sir!B: Leave me your telephone number and references . I need to have more personal information about you.W: Oh, no problem. Here is my resume .B: That’s good. Let’s see. You may come to work here the day after tomorrow .W: All right! I will be here on time .B: OK, you can go now.W: Thanks again. See you the day after tomorrow .Vocabulary Building / ExercisesA.Match each word with their proper Chinese meaning.B.Fill in each blank with a given word or expression in their rightform.1. The train would pull out soon. We ran like mad to catch it.2. My old grandmother has / had difficulty in remembering things.3. The company employs / employed / has employed about 100 men.4. She checked the letter before sending it.5. We are not prepared to accept the big change in the plan.6. It’s too late to go to the basketball match now;besides , it’s beginning torain.7. We’ve been hunting for the lost boy all over the town.8. It’s a good habit to go for a walk after supper.Grammar Tips / ExercisesA. Complete each sentence with the given verb in its indefinite tense.1. Tom plays (play) football with his friends after school.2. They read (read) stories every night before going to bed.3. The classroom has (have) eight big windows.4. Did you visit (visit) your relatives last Spring Festival?5. —Did he fly (fly) a kite on Sunday? — Yes, he did .6. We went (go) strawberry picking in the spring break.7. You will feel (feel) cold without an overcoat.8. Her father is going to buy (buy) her a dress for her birthday.9. You are to finish (finish) all the work by the end of today.10. I will give (give) it to you as soon as he comes back.B. Choose the best answer.1. Where does your pen pal live?A. No, she live in the country.B. She live in the city.C. She lives in the city.D. She isn’t live near.2. When does she go to work?A. She go to work at 7.B. She goes to work at 7.C. Yes, she does.D. She is goes at 7.3. Does Peter go to school by subway?A. No, he does.B. No, he doesn’t.C. Yes, on foot.D. Yes, he is.4. — Your city looks beautiful!— Yes. Lots of trees and grass ________ last year.A. are plantedB. have plantedC. were plantingD. were planted5. The PLA ________ in 1927.A. was foundB. foundC. was foundedD. founded6. — Did you win the basketball game?— Bad luck. Our team ________ in the final round.A. wonB. beatC. were wonD. were beaten7. — What did you do last Saturday?— I ________ my uncle.A. visitB. will visitC. visitedD. am visiting8. —Let’s go out to play football, shall we?— OK. I ________.A. will comingB. be going to comeC. comeD. am coming9. It ________ us a long time to learn English well.A. takesB. costsC. spendsD. will spend10. The train ________ at 11.A. going to arriveB. will be arriveC. is going toD. is arrivingC. Complete the sentences according to the Chinese.1. 父亲和孩子们每周日下午都去游泳。

（完整版）新标准高职公共英语系列教材：实用综合教程（第二版）第二册UNIT5-UNIT8 习题答案Unit 05 : Modern CommunicationText A / ComprehensionA. Pair WorkComplete the following sentences orally according to the text.1. Where did Reilly come from?He came from a Chicago school .2. How much time did Reilly typically spend on texting and calling every day before he started the Amish Project?He sent 1,500 texts a month and spent 600 to 900 minutes on the phone.3. What did Reilly's friends play for fun?They played Words with Friends and Angry Birds.4. What drives Reilly crazy?That nobody is really doing anything, just sitting quiet and indulging in their cell phones drives him crazy.B. Main IdeaRead the text again. As you read, underline what you think are the most important ideas. Then, in one or two sentences, write the main idea of the text.It tells us what Reilly learned from living without electronic conveniences and how it changed his life.Vocabulary Building / ExercisesA. Match each word with their proper Chinese meaning.B. Fill in each of the following blanks with the proper form of the given words.1. Alex was almost speechless (speech) with anger and despair.2. I'm 25, have a nice flat, a good job and I'm not unattractive(attractive).3. Imposing speed restrictions(restrict) is easy, but forcing motorists to observe them difficult.4. I used to be a furniture dealer(deal).5. She would have loved to have a better-paying job with more responsibility (responsible).6. I knew I'd never find a parking(park) space in the Square.7. She received recognition(recognize) for her many achievements.8. She made frequent reference (refer) to a possible promotion during the talk.Grammar Tips / ExercisesA. Complete the following sentences based on the information given in Chinese.1. It is important to remember the time and the location of the meeting(记住会议的时间和地点).2. She wished to find the book she needed(找到她需要的书).3. I am glad to tell him the news (告诉他这一消息).4. My mother asked me to call her at the weekend(周末给她打电话).5. They left home early in the morning to catch the first train (以便赶上第一班火车).B. Each of the following sentences contains ONE mistake. Find it out and correct it.6. I got up earlier than usual in order to catching the first train.A B C D(D, catch)7. My biggest wish now is make friends with as many people as possible.A B C D (B, to make)8. It is high time that we encouraged our students working harder.A B C D(C, to work)9. Late at midnight, I heard someone to knock at the door twice.A B C D(D, knock)10. Finish the task within three days is next to impossible for such a youngman.A B C D (A, Finishing)Text B / ComprehensionA. Answer the following questions according to the text.1. How many emails do corporate users receive a day, according to a recent report in Business Week?According to a recent report in Business Week, corporate email users receive an average of 20 to 30 emails a day .2. What is spam?Spam is unwanted promotional email .3. Why can incoming email become a big problem if not managed properly? As users become distracted by these messages, they are more likely to lose track of other, more important messages and fall further behind in their work .4. What does Brightmail sell?Brightmail sells server-based software .5. Why can't email users depend fully on automated filters? Automated filters will never catch all of the spam, since spammers will continue to work hard in order to get their messages through. Apart from spam, useful emails will continue to increase in volume, as email becomes an increasing important method of communicating for business and personal purposes .B. Judge whether each of the following statements is true or false according to the text. Write T if it is true, or F if false.1. Email overload affects everyone today.2. Email users often spend time putting out fires.3. Software does not help email users very much.4. Automated filters can catch all kinds of spam.5. Software will provide the best solution to email overload in the end. Key: 1. F 2. F 3. F 4. F 5. FComprehensive ExercisesA. Choose the best answer.1. He sold his farm and ______ he had enough money for his journey.A. howeverB. thusC. yetD. also2. The next day when I went to meet John, I almost failed to _____ him in his Australian bush hat.A. recognizeB. discoverC. detectD. distract3. I would like you to feel that I am talking directly to you as you read ____ the book.A. outB. upC. throughD. in4. She is ______ behind with her school work because of her illness.A. stayingB. searchingC. graspingD. falling5. He was considered ______ of a hero in the town.A. somethingB. somewhatC. sometimeD. some6. We are justified in ______ equal rights at work.A. needingB. requiringC. demandingD. wanting7. The army defended the town ______ the enemy attack.A. againstB. toC. withD. over8. I want ______ pencils, please!A. two of dozenB. two dozenC. two dozensD. two dozens ofB. Fill in the blanks with the words given below.Twenty years ago, kids in school had never even heard of the Internet. Now, I'll bet you can't find a (1) single person in your school who hasn't at least heard of it. In fact, many of us use it on a (2)regular basis and even have access to it from our homes!The Internet is a vast resource for all types of (3) information. You may enjoy using it to do research for a school project, downloading your(4) favorite songs or communicating with friends and family. However, when you email people, you have to be very careful. If you've never met the person that you're communicating with (5) online, you could be on dangerous ground! You should never give away any(6) personal information to someone you don't know, not even your name! And just like you can't believe the information on every (7) website out there, you can't always trust the strangers you “meet” on the Internet, either. Just like you could make up things about yourself when chatting with someone online, he or she could do the (8) same to you!C. Translate the following sentences into English using the words or phrases you have learned in this unit.1. 手机的发明为我们提供了各种方便。

新编实⽤英语第⼆版综合教程⼆__课后答案第⼀单元1为⽅便起见，这些照⽚将按照时间顺序展⽰For convenience, the photos will be shown in time sequence.、2出现事故之后你需要把车停下You are required to stop your car after an accident3教育孩⼦的观念和做法因⽂化的差异⽽有所不同The conceptions and practices of child education vary from culture to culture.4与其说他是位⾳乐家，倒不如说他是位诗⼈He is more of a poet than a musician5我⽗亲已好⼼地提出让我们去飞机场My father has kindly offered to take us to the airport6我们确实应该找个时间很快见⾯，讨论⼀下细节We really should meet sometime soon to discuss the details.1You are not required to commit yourself until you know what the invitation is for.Once he starts a job he won't stop until it's finished.他直到30岁才找到⼥朋友。

.He didn't have a girlfriend until he was thirty.我不告诉你，你不要离开。

Don't leave until I tell you to.2The invitation turns out to be something you'd hate to do.It turns out that he is the person you'd have to deal with.真实情况原来⽐我们想象得更为离奇。

Text A / ComprehensionKey: 1. D 2. D 3. C 4. A 5. DB. Complete the following sentences orally with your partner.1. How does a spaceman see the earth?He sees the earth’s round shape and the outline of land and oceans .2. What is the shape of the earth and what is it covered with?The shape of the earth is round and it is covered with water, rock and soil .3. Where do animals and plants live?They live almost everywhere on the surface of the earth .4. How long are a day and a year?One day is the time it takes the earth to spin around once , and one year is the time it takes the earth to travel once around the sun .5. When was Earth Day named?It was named in 1970 .C. Make a dialogue with your partner according to the situation described below.S: Hi, everybody. I’m Susan Young. Tomorrow is Earth Day. We wonder how many people know about the day and how much they know about the planet we live on. Now I will interview some people in the street. (to Jerry) Hi, there. I’m Susan Young from Man and Nature. Can you give me a moment?J: All right.S: I have some questions to ask you.J: Go ahead.S: First, can you tell us who you are?J: I am a student from XXXXXX .S: Good. Have you ever heard of Earth Day?J: Yes, of course.S: Then do you know when the day is celebrated every year?J: Oh, on the day spring begins. Am I correct?S: Quite right. It is on April 22. So tomorrow is Earth Day.J: Oh, I almost forgot!S: The next question may be a little difficult. Do you know when it was first named? And who proposed the idea?J: Perhaps in 1970 ? I’m not sure. I’ve read it somewhere. But I can’t remember it clearly now. Sorry, I can’t answer the other question.S: You are right about the year when it was named. As for the other question, OK, let me tell you: Gaylord Nelson, an American, proposed the naming of such a day and his suggestion was later accepted by the United Nations. My next question is: why can animals and plants live on the earth?J: They can live on it first because it is just the right distance from the sun . Living things needthe sun’s warmth and light for life. They also must have enough water to live. The earth has plenty of water that covers most of its surface .S: The last question: what lies at the center of the earth?J: A ball of hard metal lies at the center of the earth.S: Very good. I think you know a lot about our mother earth. Thank you for your time.J: You are welcome. I’m glad to have taken part in your program. And I like your program very much .S: Thank you again! Goodbye!J: Bye!Vocabulary Building / ExercisesA. Match each word with its proper Chinese meaning.B. Fill in each blank with a given word or expression in their right form.form include at the center of call (one’s) attention toprotect as far as surface measure1. I’ll help you as far as I can.2. He had included a large number of funny stories in the speech.3. These greenbelts protected / protect / have protected 500,000 acres of farmland against moving sands.4. The TV program is shown to call people’s attention to water pollution in China.5. A soft wind caused ripples on the surface of the lake.6. The children formed / have formed a circle around her.7. My mother measured / has measured / is measuring me for a new dress.8. The park lies at the center of the city.Grammar Tips / ExercisesA. Fill in each blank with a proper preposition.1. He asked me whether the movie was based on a real story.2. The Beckhams traveled around China in 2011.3. You can look up the word in the dictionary.4. — Where are good potatoes grown?—Good potatoes are grown in North China.5. —What’s this bottle made of ?—It’s made of china.6. We are busy preparing for the exam.7. A new bridge is built over the river.8. He came into the classroom with a book in his hand.9. There is a lamp between the bed and the desk.10. Autumn is the best season of the year in Beijing.B. Complete each sentence with one of the prepositions given in brackets.1. The two countries are at war. (at / about / with)2. The rain was beating against the windows. (in / against / at)3. The train is ten minutes behind time. (behind / after / before)4. There are many other people besides Tom at the party. (but / beside /besides)5. Who is he after ? (after / before / in)6. The policeman caught the thief by the arm. (at / by / with)7. The ball fell to the ground. (to / in / over)8. I am here only on business and I’ll leave soon. (under / on / with)9. There is a map of China on the wall. (for / like / of)10. Ten years passed and his son has grown into a young man. (like / into / to)C. Fill in each blank according to the Chinese given in brackets.1. She left the manager’s office with tears (哭着).2. The boat sails on / down / along the river (河上).3. The manger will come back in a week (一周内).4. Christmas is celebrated in all (of) the Western countries (所有西方国家).5. We held an interesting party in the open air (在户外).Text B / ComprehensionA. Answer the questions according to the text.1. What is Earth Day about?Key: It is about learning about and protecting the biodiversity on earth.2. Who is the founder of Earth Day?Key: The founder is Gaylord Nelson of the United States.3. How do people traditionally celebrate Earth Day?Key: They traditionally celebrate the day with the ringing of bells, often bells of peace.4. What did Australians do on Earth Day to draw attention to air pollution?Key: They organized a large “carless” day.5. What have been the themes of China’s Earth Day?Key: Protection of geographic relics and scientific development and sustainable use of natural resources in China and all over the world.B. Read the sentences below and decide if they are true or false according to the text. Write T for true or F for false.1. When Earth Day was founded, it was only celebrated in the US.2. In 1972 Earth Day was made an international celebration by the UN.3. Earth Day reminds people of their responsibility for the common planet they share.4. The ringing of peace bells on Earth Day is practiced only in the West.5. In Kenya children plant trees on every Earth Day.Key: 1. T 2. F 3. T 4. F 5. FComprehensive ExercisesA. Choose the best answer.(C)1. ________ the help of the guide dog, the old man ________ his son a visit.A. Under; spentB. With; tookC. With; paidD. Under; showed(A)2. Because ________ bad weather we had to have our physical education class in the classroom.A. ofB. it wasC. of theD. the(C)3. I often dream ________ my old friends.A. to seeB. seeingC. of seeingD. at seeing(C)4. ________ the end they succeeded in finishing the task ________ the end of June.A. At; atB. In; inC. In; atD. At; in(C)5. Can you translate the passage ________ English?A. withB. fromC. intoD. by(D)6. We couldn’t help ________ when we heard the hero’s story.A. movingB. to moveC. to be movedD. being moved(A)7. Please pay twenty dollars for these, the dictionary ________.A. includedB. were includedC. includeD. including(A)8. When he became a famous poet he was ________ his early thirties.A. inB. atC. afterD. from(D)9. You ________ not smoke here. This is a public place.A. could betterB. would betterC. should betterD. had better(D)10. The teacher shared the tasks ________ all the children in her class.A. toB. withC. byD. amongB. Fill in the blanks with the words given below.right March long people spring thanWhat and When Is Earth Day?When I proposed to name Earth Day, a global occasion to celebrate the wonder of life on our planet, I thought long and hard about what day to choose. It must be meaningful and must be accepted by people . When I came across the Vernal Equinox (春分), I immediately knew it was right . What could be better than the first day of spring when hearts and minds can join together with thoughts of peace and the awakening of the earth. So the first Earth Day was celebrated in San Francisco, on March 21, 1970. The United Nations later accepted the day as a yearly event for people all over the world. Each year the United Nations Peace Bell rings at the moment spring begins.C. Translate the following sentences into English, using the given words or phrases.1. 就我们所知，地球是人类可以居住的唯一星球。

实用综合教程第二版3答案实用综合教程(第二版)3Unit 1 The Information AgeB.Fill in each of the following blanks with the proper form of the given words.(P9)1. Though he is the youngest, he is the most conversational (conversation) guy in our office.2. The form (formal)must be filled out in black ink.3. He is wellconnected(connect) socially. 4. I shall be back in an instant. (instantly) 5. Ted Robinson has been worried (worry) all week.6.Instantmessagingcan be abbreviated (abbreviation) as IM.7. There’s been a great improvement(improve) inhis math this term. 8. The teacher called the monitors (monitor) of the three classes for a meeting. B.Choose the best answer to complete each sentence(P11)语法直接引语1与间接引语 1. He asked ___D_____ for the iPad. A. did I pay how muchB. I paid how muchC. how much did I payD. how much I paid2. She suggested that they should go to the movies B. A. after evening B. that eveningC. the other eveningD. yesterday evening3. John asked me C to visit his uncle’s farm with him.A. how would I likeB. if or not would I likeC. whether I wouldlike D. which I would like 4. He asked ____D____ with me. A.what the matter is B. what the matter was C. what’s the matter D. what was the matter5. She wanted to know ___B_____ child it was at the door. A. that B. Whose C. what D. whomA.Choose the best answer for each blank(P15)1. It is reported that a project to build the third longest bridgein the world is C these days. A. on the way(在途中) B. in this wayC. under way (进行中 )D. get in the way( 妨碍 ) 2. Jenny, my closest friend, often Bher secrets with me.A.speaksB.shares (分享)C. reportsD. finds 3.He said that he would travel abroad B. A. now2B. the following year (间接引语中时间变化规则)C. twoyears before D. two years ago 4. This river is B that one. A. three times long than B. three times as long as C. as three times long as D. three times as longer as5. At last, excited and surprised, he found a D treasure in the cave.A. priceB. Priced(附有定价的)C. low-pricedD. priceless (无价的，价值连城的 )6. I helped my mother buy two B__eggs in thesupermarket. A. dozens B. dozen C. dozens of D. dozen of第 1 页实用综合教程(第二版)37. It’s noisy outside. Please speak loudly to make yourself C. A. understand B. be understoodC. understood ( make sb. done表示被理解)D.understanding 8. He did not know C__. A. how could he get there B. how he can get there C. how to get there D. how could get thereC.Translate the following sentences into English using the words or phrases given.(P16)31. 你是否用过在线词典,(online) Did you ever use anonline dictionary? 2. 我通过电子邮件与高中同学保持联系。

Text A / ComprehensionA. Choose the best answer according to the text.Key: 1.A 2. B 3. C 4. A 5. BB. Complete the following sentences orally with your partner.1.Key: it was already a heavy burden for his parents to support him2.Key: check the candidates’ references3.Key: the time slot was ideal; the restaurant wasn’t very far from his college4.Key: Sir, I will do my best. I’m from the countryside and I’m good at hard work. And I can work two days for free as a trial5.Key: excited and thankful.C. Make a dialogue with your partner according to the situation described below.W: Hello…B: You are too late.W: But sir, I’ll do my best. I’m from the countryside and I’m good at hard work. And I can work two days for free as a trial .B: I want a boy who not only works hard but also keeps clean . Remember it is a restaurant. But look at your hands and clothes !W: Yes, I’m not very clean now. But you know, I have been hunting for a job for a whole day . B: Really? It is difficult to look for jobs nowadays.W: Oh, sir, I’ll keep myself clean and tidy . I promise I will work very hard, sir, if only you could give me this chance .B: All right, all right, I’ll give you a try .W: Thank you, sir!B: Leave me your telephone number and references . I need to have more personal information about you.W: Oh, no problem. Here is my resume .B: That’s good. Let’s see. You may come to work here the day after tomorrow .W: All right! I will be here on time .B: OK, you can go now.W: Thanks again. See you the day after tomorrow .Vocabulary Building / ExercisesA.Match each word with their proper Chinese meaning.B.Fill in each blank with a given word or expression in their rightform.1. The train would pull out soon. We ran like mad to catch it.2. My old grandmother has / had difficulty in remembering things.3. The company employs / employed / has employed about 100 men.4. She checked the letter before sending it.5. We are not prepared to accept the big change in the plan.6. It’s too late to go to the basketball match now;besides , it’s beginningto rain.7. We’ve been hunting for the lost boy all over the town.8. It’s a good habit to go for a walk after supper.Grammar Tips / ExercisesA. Complete each sentence with the given verb in its indefinite tense.1. Tom plays (play) football with his friends after school.2. They read (read) stories every night before going to bed.3. The classroom has (have) eight big windows.4. Did you visit (visit) your relatives last Spring Festival?5. —Did he fly (fly) a kite on Sunday? — Yes, he did .6. We went (go) strawberry picking in the spring break.7. You will feel (feel) cold without an overcoat.8. Her father is going to buy (buy) her a dress for her birthday.9. You are to finish (finish) all the work by the end of today.10. I will give (give) it to you as soon as he comes back.B. Choose the best answer.1. Where does your pen pal live?A. No, she live in the country.B. She live in the city.C. She lives in the city.D. She isn’t live near.2. When does she go to work?A. She go to work at 7.B. She goes to work at 7.C. Yes, she does.D. She is goes at 7.3. Does Peter go to school by subway?A. No, he does.B. No, he doesn’t.C. Yes, on foot.D. Yes, he is.4. — Your city looks beautiful!— Yes. Lots of trees and grass ________ last year.A. are plantedB. have plantedC. were plantingD. were planted5. The PLA ________ in 1927.A. was foundB. foundC. was foundedD. founded6. — Did you win the basketball game?— Bad luck. Our team ________ in the final round.A. wonB. beatC. were wonD. were beaten7. — What did you do last Saturday?— I ________ my uncle.A. visitB. will visitC. visitedD. am visiting8. —Let’s go out to play football, shall we?— OK. I ________.A. will comingB. be going to comeC. comeD. am coming9. It ________ us a long time to learn English well.A. takesB. costsC. spendsD. will spend10. The train ________ at 11.A. going to arriveB. will be arriveC. is going toD. is arrivingC. Complete the sentences according to the Chinese.1. 父亲和孩子们每周日下午都去游泳。

1、Don’t let the failure discourage you.Try again。

2、He dropped out of college after only two weeks。

3、He spoke very highly of her。

4、Peter took advantage of his visit to London to improve his English.5、The chairman agreed to conside r my suggestion.6、The idea needs to be tried out。

7、The new road is a major government project.8、This is our greatest and most encouraging progress；in short，a triumph。

9、The house has belonged to our family for a long time.10、There was a pause in the talk when Mary came in。

11、We all look forward to your next visit to Nanjing。

12、She discovered that she had lost her purse.13、The plane will land in five minutes。

14、It used to be thought that the earth was flat。

15、Everyone is fascinated by the singer's amazing voice.16、My parents are thinking of spending their holiday in France.17、She’s very modes t about her success。

（完整版）新标准高职公共英语系列教材：实用综合教程（第二版）第二册UNIT5-UNIT8习题答案（完整版）新标准高职公共英语系列教材：实用综合教程（第二版）第二册UNIT5-UNIT8 习题答案Unit 05 : Modern CommunicationText A / ComprehensionA. Pair WorkComplete the following sentences orally according to the text.1. Where did Reilly come from?He came from a Chicago school .2. How much time did Reilly typically spend on texting and calling every day before he started the Amish Project?He sent 1,500 texts a month and spent 600 to 900 minutes on the phone.3. What did Reilly's friends play for fun?They played Words with Friends and Angry Birds.4. What drives Reilly crazy?That nobody is really doing anything, just sitting quiet and indulging in their cell phones drives him crazy.B. Main IdeaRead the text again. As you read, underline what you think are the most important ideas. Then, in one or two sentences, write the main idea of the text.It tells us what Reilly learned from living without electronic conveniences and how it changed his life.Vocabulary Building / ExercisesA. Match each word with their proper Chinese meaning.B. Fill in each of the following blanks with the proper form of the given words.1. Alex was almost speechless (speech) with anger and despair.2. I'm 25, have a nice flat, a good job and I'm not unattractive(attractive).3. Imposing speed restrictions(restrict) is easy, but forcing motorists to observe them difficult.4. I used to be a furniture dealer(deal).5. She would have loved to have a better-paying job with more responsibility (responsible).6. I knew I'd never find a parking(park) space in the Square.7. She received recognition(recognize) for her many achievements.8. She made frequent reference (refer) to a possible promotion during the talk.Grammar Tips / ExercisesA. Complete the following sentences based on the information given in Chinese.1. It is important to remember the time and the location of the meeting(记住会议的时间和地点).2. She wished to find the book she needed(找到她需要的书).3. I am glad to tell him the news (告诉他这一消息).4. My mother asked me to call her at the weekend(周末给她打电话).5. They left home early in the morning to catch the first train (以便赶上第一班火车).B. Each of the following sentences contains ONE mistake. Find it out and correct it.6. I got up earlier than usual in order to catching the first train.A B C D(D, catch)7. My biggest wish now is make friends with as many people as possible.A B C D (B, to make)8. It is high time that we encouraged our students working harder.A B C D(C, to work)9. Late at midnight, I heard someone to knock at the door twice.A B C D(D, knock)10. Finish the task within three days is next to impossible for such a youngman.A B C D (A, Finishing)Text B / ComprehensionA. Answer the following questions according to the text.1. How many emails do corporate users receive a day,according to a recent report in Business Week?According to a recent report in Business Week, corporate email users receive an average of 20 to 30 emails a day .2. What is spam?Spam is unwanted promotional email .3. Why can incoming email become a big problem if not managed properly? As users become distracted by these messages, they are more likely to lose track of other, more important messages and fall further behind in their work .4. What does Brightmail sell?Brightmail sells server-based software .5. Why can't email users depend fully on automated filters? Automated filters will never catch all of the spam, since spammers will continue to work hard in order to get their messages through. Apart from spam, useful emails will continue to increase in volume, as email becomes an increasing important method of communicating for business and personal purposes .B. Judge whether each of the following statements is true or false according to the text. Write T if it is true, or F if false.1. Email overload affects everyone today.2. Email users often spend time putting out fires.3. Software does not help email users very much.4. Automated filters can catch all kinds of spam.5. Software will provide the best solution to email overload in the end. Key: 1. F 2. F 3. F 4. F 5. FComprehensive ExercisesA. Choose the best answer.1. He sold his farm and ______ he had enough money for his journey.A. howeverB. thusC. yetD. also2. The next day when I went to meet John, I almost failed to _____ him in his Australian bush hat.A. recognizeB. discoverC. detectD. distract3. I would like you to feel that I am talking directly to you as you read ____ the book.A. outB. upC. throughD. in4. She is ______ behind with her school work because of her illness.A. stayingB. searchingC. graspingD. falling5. He was considered ______ of a hero in the town.A. somethingB. somewhatC. sometimeD. some6. We are justified in ______ equal rights at work.A. needingB. requiringC. demandingD. wanting7. The army defended the town ______ the enemy attack.A. againstB. toC. withD. over8. I want ______ pencils, please!A. two of dozenB. two dozenC. two dozensD. two dozens ofB. Fill in the blanks with the words given below.Twenty years ago, kids in school had never even heard of the Internet. Now, I'll bet you can't find a (1) single person in your school who hasn't at least heard of it. In fact, many of us use it on a (2)regular basis and even have access to it from our homes!The Internet is a vast resource for all types of (3) information. You may enjoy using it to do research for a school project, downloading your(4) favorite songs or communicating with friends and family. However, when you email people, you have to be very careful. If you've never met the person that you're communicating with (5) online, you could be on dangerous ground! You should never give away any(6) personal information to someone you don't know, not even your name! And just like you can't believe the information on every (7) website out there, you can't always trust the strangers you “meet” on the Internet, either. Just like you could make up things about yourself when chatting with someoneonline, he or she could do the (8) same to you!C. Translate the following sentences into English using the words or phrases you have learned in this unit.1. 手机的发明为我们提供了各种方便。

《实用综合教程（第二版）1》课后习题――翻译答案Page 15 Unit1 - C/D汉译英：1. You should be focused on study.2. Education does count to young people.3. We study many subjects in this vocational school.4. You should take advantage of this chance of a lifetime.5. The majority of vocational schools in Germany do not charge tuition fees.英译汉：不错，我是大学没读完就中途辍学开创了微软公司，但是在此之前我在哈佛念了三年的书。

正如我以前所说的那样，任何人都不应中途辍学，除非他确定已经遇到了一生中最好的机遇。

即便如此，他还是应慎重考虑。

Page 33 Unit 2 - C/D汉译英：1. What he said hurt his friend’s feelings.2. John means a lot to Bill because he often helps him a lot.3. We all have sympathy for her.4. I prefer face-to-face talk to electronic communication.5. They often hung out together when they were young.英译汉：在我还很小的时候，家里有了所在街区的第一部电话。

不久，我就发现那个奇妙的装置里住着一个神奇的人――她的名字叫“请接查询台”。

她简直无所不晓：妈妈要别人的电话号码会找她；家里的钟坏了，她会立刻给我们准确报时。

Page 51 Unit 3 - C/D汉译英：1. When you visit your foreign teacher, you may present him with a small cultural gift.2. You can give the host a bottle of wine as a gift only when you know that the host drinks wine.3.The saleswoman wrapped up the gift in color paper.4. Jack had some difficulty in solving the problem.5. Mum told me that life was full of surprises and one should be ready for them.英译汉：送酒作礼物时要当心了。

实用综合教程2课后习题单选和翻译Comprehensive ExercisesUnit1B选择1.The boy acted he didn't know me.A.so thatB.such asC.as soonD.as if2.I could hardly believe that my son could write this article all himselfA.inB.forC.byD.out of3.There is no reason he should refuse to join us.A.whyB.becauseC.thatD.so that4.Some of these methods will work, but will not.A. B. C. D.5. Respect he held out his hand to greet the old lady.A.InB.ForC.Out ofD.On6.It has long been my custom my visitors to some coffee.A.to treatingB.treatingC.treatedD.to treatThey are pulling down the walls of the house.A.outerB.outC.outwardD.outside7.The new book has received attention in China and abroadA.considerateB.consideredC.considerableD.considering答案1.D 2.C 3.A 4.D 5.C 6.D 7.A 8.CD翻译1.她很腼腆，不敢在众人面前唱歌（in public)She is so shy that she dare not sing in public.2.根据作者建议，我们应该入乡随俗。

实用综合教程第二版1Unit6课后答案整理表姓名:职业工种:申请级别:受理机构:填报日期:A4打印/ 修订/ 内容可编辑2 1§8.1傅里叶变换的概念傅里叶级数、傅氏积分与傅氏变换1、正确理解傅里叶级数的复指数形式2、正确理解傅里叶变换的概念3、了解基频、振幅、相位、离散频谱、离散振幅和离散相位谱傅里叶级数傅氏积分与傅氏变换讲授法、图形类比法、演绎法习题八 1-3一、傅里叶级数二、傅里叶积分三、傅里叶变换[1]《积分变换》，南京工学院数学教研室，高等教育出版社，1987.[2]《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000.1、能理解傅里叶级数的复指数形式2、能理解傅里叶积分变换的概念3、理解函数的傅里叶积分变换第八章傅里叶变换（The Fourier transformation）第一讲授课题目：§8.1傅里叶变换的概念教学内容：傅里叶级数、傅氏积分与傅氏变换学时安排：2学时教学目标：1、正确理解傅里叶级数的复指数形式2、正确理解傅里叶变换的概念3、了解基频、振幅、相位、离散频谱、离散振幅和离散相位谱4、掌握求函数的傅里叶变换5、理解函数的傅里叶积分公式教学重点：傅里叶级数教学难点：傅氏积分与傅氏变换教学方式：讲授法、图形类比法、演绎法作业布置：习题八 1-3板书设计：一、傅里叶级数二、傅里叶积分三、傅里叶变换主要参考资料：1、《积分变换》，南京工学院数学教研室，高等教育出版社，19872、《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000课后记：1、能理解傅里叶级数的复指数形式2、能理解傅里叶积分变换的概念3、理解函数的傅里叶积分变换教学过程：人们在处理和分析工程实际问题时，常会用到一些变换来处理问题，这些变换一方面可以使问题变的简单，另一方面可以使问题的性质更加明确，比如数学上的对数变换可以使幂和开方运算转为乘除运算，乘除运算转为加减运算，大大简化了计算的复杂度，坐标系的变换可以使一些复杂的积分和体积的计算简单化.本章我们来学习傅里叶积分变换，它是将一个函数通过积分运算化为另一个函数，同时还具有对称的逆变换形式，这种变换能简化一些微分方程的求解，而且还具有特殊的物理意义，在许多领域广泛的应用，比如在图形处理和信号分析中有很重要的应用.尤其是当今数字时代的，离散傅里叶变换可以在计算机上实现傅里叶积分变换和逆变换，使得这理论显得尤为重要.所谓积分变换，实际上就是通过积分算，把一个函数变成另一个函数的一种变换这类积分一般要含有参变量，具体形式可写为：是要变换的函数，原像函数；是变换后的函数，像函数；是一个二元函数，称为积分变换核，它的不同可以得到不同的积分变换.数学中经常利用某种运算先把复杂问题变为比较简单的问题，求解后，再求其逆运算就可得到原问题的解如，初等数学中，曾经利用取对数将数的积、商运算化为较简单的和、差运算；再如，高等数学中的代数变换，解析几何中的坐标变换，复变函数中的保角变换，其解决问题的思路都属于这种情况基于这种思想，便产生了积分变换最早是由傅里叶在研究热传导方程时得到的.其主要体现在：数学上：求解方程的重要工具；能实现卷积与普通乘积之间的互相转化.工程上：是频谱分析、信号分析、线性系统分析的重要工具.§8.1 傅里叶变换的概念(The conception of the Fourier transformation)一、傅里叶级数的指数形式（Exponential form of Fourier series）1804年，傅里叶研究热传导时提出有限区间上任意函数可以表示为正弦和余弦的和，1829年狄利克雷证明了如下的定理，为傅里叶级数建立了理论基础：定理(Theorem)8.1 设是以为周期的实函数，且在上满足狄氏条件，即在一个周期上满足：（1）连续或只有有限个第一类间断点；（2）只有有限个极值点则在连续点处，有其中在间断点处，式右端级数收敛于.根据工程上的习惯，则，于是,上面的傅里叶级数可以表示为：令，则其中.称为傅里叶级数的复指数形式，具有明显的物理意义. 如果令则，这说明如果代表信号，那么一个周期为的信号可以分解成简谐波的和，这些谐波的频率分别为基频的倍数，换句话说，信号并不含有各种频率的成分，而仅由一系列具有离散频率的谐波所构成，其中反映了频率为的谐波在中所占的份额，称为振幅，反映了频率为的谐波沿时间轴移动的大小，称为相位.作为复数，可以完全刻画信号的频率特性，称为的离散频谱，称为离散振幅谱，称为离散相位谱.例8.1求以为周期的函数的离散频谱和它的傅里叶级数的复指数形式.解令，当时，，当时，所以的傅里叶级数的复指数形式为：.振幅谱为相位谱为二、傅里叶积分（Fourier integral）任何一个非周期函数, 都可看成是由某个周期函数当时转化而来的，即由是周期函数，可以知道，，所以可以得到令，，，则因此按照积分的定义，在一定条件下，上面表达式可以写成：称为函数的傅氏积分公式定理(Theorem)8.2 若在(-∞, +∞)上满足条件: (1) 在任一有限区间上满足狄氏条件; (2)在无限区间(-∞, +∞)上绝对可积.则上述定理称为傅氏积分定理.可以证明，当满足傅氏积分定理条件时，公式可以写为三角形式，根据欧拉公式有因为实部和虚部分别是的偶函数和奇函数，所以进而可以得到2 1§8.2 傅里叶变换和单位冲激函数傅里叶变换、单位冲激函数的概念和性质、单位冲激函数的傅里叶变换1、掌握求函数的傅里叶变换2、正确理解单位冲激函数的概念和性质3、正确理解单位冲激函数的傅里叶变换1、傅里叶变换的概念2、单位冲激函数的傅里叶变换单位冲激函数的概念讲授法、图形类比法、演绎法习题八 4-9一、傅里叶变换二、单位冲激函数的概念和性质三、单位冲激函数的傅里叶变换[1]《积分变换》，南京工学院数学教研室，高等教育出版社，1987.[2]《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000.1、掌握了求函数的傅里叶变换2、单位冲激函数的概念和性质，理解不好第二讲授课题目：§8.2 傅里叶变换和单位冲激函数教学内容：傅里叶变换、单位冲激函数的概念和性质、单位冲激函数的傅里叶变换学时安排：2学时教学目标：1、掌握求函数的傅里叶变换2、正确理解单位冲激函数的概念和性质3、正确理解单位冲激函数的傅里叶变换教学重点：1、傅里叶变换的概念2、单位冲激函数的傅里叶变换教学难点：单位冲激函数的概念教学方式：讲授法、图形类比法、演绎法作业布置：习题八 4-9板书设计：一、傅里叶变换二、单位冲激函数的概念和性质三、单位冲激函数的傅里叶变换主要参考资料：1、《积分变换》，南京工学院数学教研室，高等教育出版社，1987.2、《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000.课后记：1、掌握了求函数的傅里叶变换2、单位冲激函数的概念和性质，理解不好教学过程：§8.2 傅里叶变换和单位冲激函数(The Fourier transformation and the unit pulse functions)一、傅里叶变换(The Fourier transformation)令，，；则有＝．定义了一个变换对，也称为的像函数；为的原像函数还可以将和用箭头连接:例8.2求函数的傅氏变换及其积分表达式，其中，这个函数称为指数衰减函数,在工程中常遇到解根据定义, 有这就是函数的积分表达式．因此此表达式可以用来计算一些广义积分．例8.3求矩形脉冲函数的付氏变换及其积分表达式.解根据定义, 有这样就得到了矩形脉冲函数的傅里叶积分变换和傅里叶积分表达式.进一步可以得到，因此可知当时，，振幅谱为，相位谱为例8.4已知的频谱为，其中，求.解傅里叶级数与傅里叶变换以不同的形式反映了周期函数与非周期函数的频谱特性，是否可以借助某种手段将它们统一起来呢？更具体地说，是否能够将离散频谱以连续频谱的方式表现出来呢？这就需要介绍和引入单位脉冲函数和广义傅里叶积分变换，其中单位脉冲函数有很多实际背景，比如瞬时冲击力、脉冲电流、质点的质量等，这些物理量都不能用通常的函数形式表示和描述.比如，研究质点的质量，可以假设长度为的均匀杆放在轴的上，其质量为，用表示它的线密度，则有当质点在原点时，可以认为是细杆长度的结果，质点的密度函数为这种常规的表示不能反映出质点本身的性质，必须附加一个条件，这就需要引入新的函数，单位脉冲函数或狄拉克函数.二、单位冲激函数的概念和性质（Unit impulse function, and the nature of the）定义单位脉冲函数（Unit impulse function）1.满足如下连个条件的函数称为单位脉冲函数：1.当时，2.2、对于无穷次可微函数，如果满足，其中；则称的弱极限为狄拉克函数.单位脉冲函数的性质1.筛选性质（Screening of nature）设是定义在实数域上的有界函数，且在处连续，则一般地，有证明同理2.偶函数（Dual function）所以3.相似性质(the state or quality of being homogeneous)设为实常数，则.证明而由筛选性质可以知道，故成立.这说明，如果将的尺度扩大倍，则冲击脉冲的冲击强度相应的缩小倍.4、狄拉克函数是单位阶跃函数的导数（Dirac function is the derivative of unit step function），其中为单位阶跃函数.证明所以时，，当时，故三、单位冲激函数的傅里叶变换（Fourier transform of unit impulse function）根据筛选性质，，其中可以知道单位脉冲函数的傅里叶积分变换为1，故1和狄拉克函数是一对傅里叶变换.即，，同理有例8．7分别求函数和的傅里叶积分变换.解例8.8 试证明单位阶跃函数的傅里叶变换为.证明设，.例8.9求的傅里叶积分变换.解.周期函数也可以进行傅里叶积分变换，其频谱仍然是离散的，这一点与傅里叶级数展开时一致的，所不同的是，这里是用冲激强度来表示各频率分量的幅值的相对大小.对于周期函数有如下的定理定理(Theorem)8.3 设是以为周期的实值函数，且在上满足狄氏条件，则和是一组傅氏变换，其中，是的离散频谱.证明按傅里叶级数展开, 有因此2 1§8.3 傅里叶变换的性质傅里叶变换的基本性质、卷积定理、综合举例1、了解卷积定理，卷积2、掌握傅里叶变换的基本性质3、掌握傅里叶变换的性质的应用1、傅里叶变换的基本性质2、傅里叶变换的性质的应用卷积定理，卷积讲授法、演绎法习题八 6-16一、傅里叶变换的基本性质二、卷积定理三、综合举例[1]《积分变换》，南京工学院数学教研室，高等教育出版社，1987.[2]《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000.1、卷积定理，卷积，不能正确掌握2、掌握了傅里叶积分变换的基本性质3、掌握了傅里叶积分变换的性质的应用第三讲授课题目：§8.3 傅里叶变换的性质主要教学内容：傅里叶变换的基本性质、卷积定理、综合举例学时安排：2学时教学目标：1、了解卷积定理，卷积2、掌握傅里叶变换的基本性质3、掌握傅里叶变换的性质的应用教学重点：1、傅里叶变换的基本性质2、傅里叶变换的性质的应用教学难点：卷积定理，卷积教学模式和方法：讲授法、演绎法作业布置：习题86、87、88、89、810、811、812、813、814、815、816板书设计：一、傅里叶变换的基本性质二、卷积定理三、综合举例主要参考资料：1、《积分变换》，南京工学院数学教研室，高等教育出版社，1987.2、《复变函数与积分变换》，贺才兴编著，辽宁大学出版社，2000.课后记：1、卷积定理，卷积，不能正确掌握2、掌握了傅里叶积分变换的基本性质3、掌握了傅里叶积分变换的性质的应用教学过程：§8.3 傅里叶变换的性质（The property of the Fourier transformation）一、傅里叶变换的基本性质（The property of the Fourier transformation）1、线性性质(linearbehaviour)证明设，，为实数，则；2、位移性质（Character displacement），为实数，则；证明做变量代换.3、相似性质(the state or quality of being homogeneous)，为非零实数，则证明令，则当时，当时，总之可以得到4、微分性质(differentiation property)若，则；.证明可以得到因而根据数学归纳法可以得到同理可以证明（可以用来求的傅里叶积分变换）5、积分性质(integration property)设，若，则证明由于，根据微分性质，可以得到，因此可以得到.6、帕塞瓦尔等式(parseval equality)设，则证明由于，所以.7、对称性(symmetry)证明因为，所以，因此.例8.10已知（为实常数），求.解（其中利用了位移性质）例8.11已知抽样信号的频谱为求信号的频谱.解例8.12求积分的值.解因为的傅里叶积分变换为令，则，考虑到被积函数是偶函数，所以.二、卷积定理（convolution theorem）1、卷积（convolution）定义，设与在实数集上定义，若反常积分对任何实数都收敛，它们定义了一个函数，称为与卷积，即.性质：(1)，(2)(3)2、卷积定理（convolution theorem）设，则有例8.13求下列函数的卷积其中，.解由定义当时，当时，所以例8.14求下列函数的卷积.解由当时，当时，当时，总之例8.15求下列函数的卷积其中，.解设，则根据卷积定理，可以得到.例8.16设，求.解由于.三、综合举例（Comprehensive example）例8.17设是以周期为的实值函数，且在上满足狄利克雷条件，证明文件编号：6A-E6-4A-3A-7A其中，为的离散频谱.证明由题意有，所以.例8.18设是定义在上的实值函数，且存在傅里叶积分变换，证明.证明，则，整理丨尼克本文档信息来自于网络，如您发现内容不准确或不完善，欢迎您联系我修正；如您发现内容涉嫌侵权，请与我们联系，我们将按照相关法律规定及时处理。

Unit 1 The Information AgeB.Fill in each of the following blanks with the proper form of the given words.(P9)1. Though he is the youngest, he is the most conversational (conversation) guy in our office.2. The form (formal) must be filled out in black ink.3. He is well connected (connect) socially.4. I shall be back in an instant. (instantly)5. Ted Robinson has been worried (worry) all week.6.Instant messaging can be abbreviated (abbreviation) as IM.7. There’s been a great improvement (improve) in his math this term.8. The teacher called the monitors (monitor) of the three classes for a meeting.B.Choose the best answer to complete each sentence(P11)语法直接引语与间接引语1. He asked ___D_____ for the iPad.A. did I pay how muchB. I paid how muchC. how much did I payD. how much I paid2. She suggested that they should go to the movies B .A. after eveningB. that eveningC. the other eveningD. yesterday evening3. John asked me C to visit his uncle’s farm with him.A. how would I likeB. if or not would I likeC. whether I would likeD. which I would like4. He asked ____D____ with me.A.what the matter isB. what the matter wasC. what’s the matterD. what was the matter5. She wanted to know ___B_____ child it was at the door.A. thatB. WhoseC. whatD. whomA.Choose the best answer for each blank(P15)1. It is reported that a project to build the third longest bridge in the world is C these days.A. on the way（在途中）B. in this wayC. under way （进行中）D. get in the way（妨碍）2. Jenny, my closest friend, often B her secrets with me.A.speaksB.shares （分享）C. reportsD. finds3. He said that he would travel abroad B .A. nowB. the following year （间接引语中时间变化规则）C. two years beforeD. two years ago4. This river is B that one.A. three times long thanB. three times as long asC. as three times long asD. three times as longer as5. At last, excited and surprised, he found a D treasure in the cave.A. priceB. Priced（附有定价的）C. low-pricedD. priceless （无价的，价值连城的）6. I helped my mother buy two B__eggs in the supermarket.A. dozensB. dozenC. dozens ofD. dozen of7. It’s noisy outside. Please speak loudly to make yourself C .A. understandB. be understoodC. understood ( make sb. done表示被理解)D. understanding8. He did not know C__.A. how could he get thereB. how he can get thereC. how to get thereD. how could get thereC.Translate the following sentences into English using the words or phrasesgiven.(P16)1. 你是否用过在线词典？(online)Did you ever use an online dictionary?2. 我通过电子邮件与高中同学保持联系。

Unit 1 The Information Age B.Fill in each of the following blanks with the proper form of the given words.(P9)1. Though he is the youngest, he is the most conversational (conversation) guy in our office.2. The form (formal) must be filled out in black ink.3. He is well connected (connect) socially.4. I shall be back in an instant. (instantly)5. Ted Robinson has been worried (worry) all week.6.Instant messaging can be abbreviated (abbreviation) as IM.7. There’s been a great improvement (improve) in his math this term.8. The teacher called the monitors (monitor) of the three classes for a meeting.B.Choose the best answer to complete each sentence(P11)语法直接引语与间接引语1. He asked ___D_____ for the iPad.A. did I pay how muchB. I paid how muchC. how much did I payD. how much I paid2. She suggested that they should go to the movies B .A. after eveningB. that eveningC. the other eveningD. yesterday evening3. John asked me C to visit his uncle’s farm with him.A. how would I likeB. if or not would I likeC. whether I would likeD. which I would like4. He asked ____D____ with me.A.what the matter isB. what the matter wasC. what’s the matterD. what was the matter5. She wanted to know ___B_____ child it was at the door.A. thatB. WhoseC. whatD. whomA.Choose the best answer for each blank(P15)1. It is reported that a project to build the third longest bridge in the world is C these days.A. on the way（在途中）B. in this wayC. under way （进行中）D. get in the way（妨碍）2. Jenny, my closest friend, often B her secrets with me.A.speaksB.shares （分享）C. reportsD. finds3. He said that he would travel abroad B .A. nowB. the following year （间接引语中时间转变规则）C. two years beforeD. two years ago4. This river is B that one.A. three times long thanB. three times as long asC. as three times long asD. three times as longer as5. At last, excited and surprised, he found a D treasure in the cave.A. priceB. Priced（附有定价的）C. low-pricedD. priceless （无价的，价值连城的）6. I helped my mother buy two B__eggs in the supermarket.A. dozensB. dozenC. dozens ofD. dozen of7. It’s noisy outside. Please speak loudly to make yourself C .A. understandB. be understoodC. understood ( make sb. done表示被理解)D. understanding8. He did not know C__.A. how could he get thereB. how he can get thereC. how to get thereD. how could get thereC.Translate the following sentences into English using the words or phrases given.(P16)1. 你是不是用过在线词典？(online)Did you ever use an online dictionary?2. 我通过电子邮件与高中同窗维持联系。

Unit 1 The Information Age1. Though he is the youngest, he is the most conversational (conversation) gu y in our office.2. The form (formal) must be filled out in black ink.3. He is well connected (connect) socially.4. I shall be back in an instant. (instantly)5. Ted Robinson has been worried (worry) all week.6.Instant messaging can be abbreviated (abbreviation) as IM.7. There’s been a great improvement (improve) in his math this term.8. The teacher called the monitors (monitor) of the three classes for a meetin .语法直接引语与间接引语g1. He asked D________for the iPad.A. did I pay how muchB. I paid how muchC. how much did I payD. how muchI paid2. She suggested that they should go to the movies B .A. after eveningB. that eveningC. the other eveningD. yesterday evening3. John asked me C to visit his uncle’s farm with him.A. how would I likeB. if or not would I likeC. whether I would likeD. whichI wouldlike4. He asked ____D____ with me.A.what the matter isB. what the matter wasC. what’s the matterD. what was the matter5.She wanted to know ___B_____ child it was at the door.A. thatB. WhoseC. whatD. whom1. It is reported that a project to build the third longest bridge in the world isC these days.A. on the way (在途中)B. in this wayC. under way (进行中 )D. get inthe way ( 妨碍 )2. Jenny, my closest friend, often B her secrets with me.A.speaksB.shares (分享)C. reportsD. finds3. He said that he would travel abroad B .A. nowB. the following year (间接引语中时间变化规则)C. two years beforeD. twoyears ago4. This river is B that one.A. three times long thanB. three times as long asC. as three times long asD. three times as longer as5.At last, excited and surprised, he found a D treasure in the cave.A. priceB. Priced (附有定价的)C. low-pricedD. priceless (无价的，价值连城的 )6.I helped my mother buy two B__eggs in the supermarket.A. dozensB. dozenC. dozens ofD. dozenof7.It’s noisy outside. Please speak loudly to make yourself C .A. understandB. be understoodC. understood ( make sb. done 表示被理解)D. understanding8. He did not know C__.A. how could he get thereB. how he can get thereC. how to get thereD. how couldget there1. 你是否用过在线词典？ (online)Did you ever use an online dictionary?2. 我通过电子邮件与高中同学保持联系。