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人教版2020-2021学年七年级英语下册 Unit2测试题 (有答案)

人教版2020-2021学年七年级英语下册 Unit2测试题 (有答案)

Unit 2 单元测试题一.单项选择(每小题1分,共25分)从A、B、C、D四个选项中选择可以填入空白处的最佳答案。

( ) 1. The two boys often do ______at 5:30 in the afternoon.A. homeworkB. homeworksC. workedD. works( ) 2. I get up at seven o’clock _____I have breakfast at ten past seven.A. andB. aboutC. onD. /( ) 3. When does your brother _____ home every day?A. go toB. come toC. goD. run to( ) 4-______? –Sorry, I don’t have a watch.A. What’s thatB. What time is itC. What is itD. How are you( ) 5. She ___two or three times a week, so she is very healthy.A. walksB. takes a showerC. brushes her teethD. exercises( ) 6. I have a good habit(习惯). I usually ____run ____ have a walk before breakfast.A. either…or…B. either…nor…C. both…and…D. neither. . nor. .( ) 7. Let’s ____.A. take a showerB. have a showerC. take the showerD. A and B( ) 8. My brother______TV every day.A. watchB. seeC. watchesD. sees( ) 9. -_____does Wang Nan usually go to bed?A. What timeB. How timeC. WhoD. How( ) 10. Jiang Min usually gets up ____.A. on six thirtyB. at thirty sixC. at six thirtyD. on thirty six( ) 11. -_____do you have geography? –On Wednesday.A. WhereB. WhatC. WhenD. How( ) 12. -When do you often leave home ____the morning?-_____half past seven.A. at; AtB. in; InC. in; AtD. on; At( ) 13. She has____friends at school.A. lot ofB. lots ofC. a lotD. much( ) 14. I’m a student. I often _____with Mary.A. go to schoolB. go schoolC. go to the schoolD. go to a school( ) 15. They_____at school.A. have a lunchB. have the lunchC. have lunchD. have an lunch( ) 16. Tom has ______ breakfast every morning. And he always eats ______ good breakfast.A. the; theB. 不填; aC. the; aD. 不填; the( ) 17. Boys and girls, it’s time ______ class now.A. toB. forC. inD. with( ) 18. Miss Yang plays tennis ______ swims on the weekend.A. orB. butC. soD. after( ) 19. —______ do you usually play the violin? —On weekends.A. What timeB. WhyC. WhereD. When( ) 20. My grandfather likes to do morning ______. He often ______ in the park.A. exercise; exerciseB. exercises; exerciseC. exercises; exercisesD. exercise; exercises( ) 21. Amy, ______ the noodles taste ______?A. do; wellB. do; goodC. are; wellD. are; good( ) 22. —What’s the English for 9:50? —It’s ______.A. nine fiftyB. fifty nineC. ten to nineD. ten past nine( ) 23. —Do you have time ______ soccer with me?—Yes, I ______.A. to play; haveB. playing; haveC. to play; doD. playing; do ( ) 24. Ice-cream is unhealthy, so I ______ eat it.A. alwaysB. usuallyC. sometimesD. never( ) 25. —______? —She is an English teacher.A. What’s your sister’s nameB. How is your sisterC. What’s your sister’s jobD. How old is your sister二.阅读理解(每小题1分,共25分)( ) 26. Jim walks to school.( ) 27. Jim and Mary have lunch at the same time.( ) 28. Jim plays ball games at 5:00 in the afternoon.( ) 29. Mary listens to music after lunch.( ) 30. Mary begins to do homework later than (比……迟) Jim.BMiss Li is a teacher. She teaches in a middle school. She gets up at half past five in the morning. She has breakfast at 6:00.After that she goes to school by bike. She gets there very early. She cleans the desks and chairs for other teachers. Classes begin at 8:00. She and the other teachers work hard. She goes home at 4:00 in the afternoon. Then she does some housework . After dinner she reads books and goes over the students’homework. She goes to bed at about ten.( )31. Miss Li works_______A. in a shopB. in a middle schoolC. on farmD. in a factory '( )32. She gets up at_______ in the morning. .A. 5:l0B. 5:20C. 5:30D. 5:45( )33. She goes to work _______A . lateB at night C. early D. on foot( )34. She does some housework_______.A. at 4:30B. before 4:40C. after 4:00D. in the morning( )35. After supper she____.A reads books B. goes over the students 'homework C both A andB D. watches TVCDale Smith is thirty-two years old. He works at a radio station. His home is in the center of the city, so he walks to his work place every day. From Monday to Friday, he gets up early, usually at six o’clock. He needs to have a quick breakfast and then gets to the radio station before half past six. People always listen to his program (节目) at that time. He works for five years at the station and he is never late for work.Dale Smith likes his job and he also likes doing sports. On weekdays he usually runs for a quarter after work. On weekends he always joins his friends to play basketball in the afternoon. It’s his favorite sport. Sometimes he goes swimming with his family. He does a lot of exercise, so he is really healthy. For food, he likes vegetables with rice best. He also likes chicken and he says it tastes good. He doesn’t like ice-cream because it is not good for his teeth.At night Dale often goes to bed early. He really has a happy life.( ) 36. How old is Dale Smith?A. 31.B. 32.C. 41.D. 42.( ) 37. What time does Dale’s program start on weekdays?A. At 6:00.B. At 6:15.C. At 6:30.D. At 6:45.( ) 38. What sport does Dale like best?A. Basketball.B. Volleyball.C. Baseball.D. Swimming.( ) 39. For food, Dale likes _______________.① vegetables ② rice ③ ice-cream ④ chickenA. ①②③B. ②③④C. ①③④D. ①②④( ) 40. What’s the main idea of this passage?A. What Dale does on weekdays.B. Dale’s happy life.C. How Dale works at the radio station.D. Dale’s favorit e sports and food.Chen Yue gets ____41____ at 6:00 every weekday. She eats ____42____ at 6:15. Then she ____43____ English. At 6:50, she leaves home. She _____44___ a bus to school. She gets there ____45____ 7:10. Classes begin at 8:00. She doesn’t want to be _____46___.Chen Yue has lunch at her uncle’s ____47____ at around 12:00. In the _____48___ classes are over at 4:00, then she _____49___ games. She gets home at 5:00.In the evening, she does her homework. And sometimes she _____50___ TV. She goes to bed at 10:00.41.___________ 42.___________ 43.___________ 44.___________45.___________46.___________ 47.___________ 48.___________ 49.___________50.___________三.用括号内所给单词的适当形式填空。(每小题1分,共7分)51. We usually have breakfast at six __________ (clock) in the morning.52. Please come in and have a cup of tea with ___________ (we).53. Please brush your __________ (tooth) after you get up.54. Many students have a lot of ___________ (homework) to do every day.55. They __________ (usual) go home after school.56. They are the______________ (child) books.57. His action was very ____________(fun)and we all laughed.四.根据括号内所给动词的适当形式填空,必要时可加助动词或情态动词。

含听力2021年外研版四年级英语下册Module 2测试题及答案

含听力2021年外研版四年级英语下册Module 2测试题及答案

满分:100分时间:60分钟得分:听力部分(40分)听力扫码一、听录音,给图片排序。

(10分)( )( )( )( )( )二、听录音,选出你所听到的单词。

(10分)( )1.A. but B. beautiful C. big ( )2.A. who B. is C. whose( )3.A. old B. cold C. lot( )4.A. close B. cool C. cold( )5.A. farm B. famous C. far三、听录音,选出图片。

(10分)( )1.A. B.( )2.A. B.( )3.A. B.( )4.A. B.( )5.A. B.四、听录音,选出合适的答语。

(10分)( )1.A. It s a ship. B. It s on the desk. ( )2.A. Yes, I can. B. Yes, it is.( )3.A. It s my sister s. B. This is my sister.( )4.A. Yes, I can. B. No, it isn t.( )5.A. Nice to meet you. B. It s beautiful.笔试部分(60分)五、看图写单词。

(10分)1.— What s this?— It s a s.2.I live in (住) a big c.3.Xiaoqiang s house is c to school.4.— W book is this?— Sorry, I don t know.5.This is my grandfather. He is o.六、选出下列单词的反义词。

(10分)( )1. short( )2. small( )3. old( )4. new(10分)( )1.—bag is this?— It s Jim s. Look, his books are in it.A. WhoB. WhatC. Whose( )2.— Look at the picture. It s about an city. — Yes. We all like it.A. bigB. smallC. old( )3. is Beijing. It s big and beautiful.A. ThisB. ThoseC. These( )4.— Is this Big Ben?— Yes, it is. It s very.A. littleB. cleverC. famous( )5.— Is this your city?—I like it very much.A. Yes, I am.B. Yes, it is.C. Yes, I do.1. is this( )2.It s to my school. I walk to school every day. ( )3. ruler is it?( )4. this your school?( )5.Is this your?九、判断下列句子与图片是(T)否(F)相符。

人教版七年级下册英语Unit2知识点梳理及语法讲义(教师版)

人教版七年级下册英语Unit2知识点梳理及语法讲义(教师版)

为“What time + do/does +主语+动词原形+其他?”。
Eg. —What time do you get up in the morning? 你早上几点起床?
—At about 6 o’clock. 大约六点钟。
【易混辨析】重点:what time 与 when
单词
用法
例句
图解助记
7. work 牙牙(v/n.) → ____worker____ (n.)牙牙 8. funny 牙牙牙牙牙牙牙牙牙(adj.) → ____fun______ (n.)牙牙 9. best 牙牙牙/牙(adj/adv.) → ___good/well____ (adj/adv.)牙牙/牙 10. half 牙牙牙牙牙(n/pron.) → ___halves_______ (复数) 11. run 牙牙牙(v.) → ____runner______ (n.)跑步者 → ____running_____ (现在分词) 12. clean 牙牙牙牙牙牙(v.) → ____cleaner_____ (n.)清洁工 13. quickly 很快地(adv.) → ____quick______ (adj.)快速的 14. life 生活;生命(n.) → _____lives______ (复数) 【练一练】用所给词的适当形式填空
10. What time does your son usually get ____dressed____ (dress)?
(三)短语攻关:
what time
几点;什么时间
get up
get dressed
穿上衣服
go to school
brush teeth

六年级上册 Unit 2单词

六年级上册 Unit 2单词

六年级上册Unit 2 Name:______________一、单词:1)开始2)经常3)电影院4)饭5)总是6)会见7)有时8)其他9)很少10)科学家11)通常12)办公室13)从来不二、短语:14)起床___ 15)熬夜__________16)在下午______ __17)回到家_________________18)熬夜_________________19)去上学___________________20)在晚上___ ___ 21)去看电影_____________ 22)外出_________________23)在上午_________24)上课________ 25)吃饭_________________26)弹钢琴____ 27)去购物___________ 28)看电视___________________29)做作业_________________ 30)learn from ____________31)go on with ___32)take a walk_ ___________33)be kind to______________ 34)begin to work______三、句子:1) 他通常在办公室里工作。

___________ ___________ ___________ ___________ ___________ ___________.2) 我晚上不外出。

_______ _______ _______ _______ _______ _______ _________.3) 他早上六点起床。

_______ ______ _______ _______ ________ _______ _______ ________..4) 我早上七点去上学。

______ _______ ________ _________ _______ _________ _____ _________ _________.5) 我通常乘坐公共汽车去上学。

人教版七年级下册英语 Unit2单元测试卷(含答案)

人教版七年级下册英语 Unit2单元测试卷(含答案)

七年级下册英语Unit2单元测试卷一.单项选择。

(20分)( )1. — How about taking __________ walk now?— Sounds great。

A. aB. / C。

an D。

the()2。

— When do you go to bed?— Usually_______ nine o'clock。

A。

on B. in C. at D. to( )3。

- What's the time?- __________ six o’clock。

A. ItsB. It’s C。

This is D. They are()4。

— How many _________ does the baby have?— Two。

So he only drinks some milk.A。

books B. chairs C. groups D。

teeth()5。

— Is Mr。

Zhang very popular (受欢迎的)with his students?— Yes,his classes are ____ interesting。

A. alwaysB. never C。

sometimes D。

seldom( )6。

The vegetable soup delicious.Can I have more? A.looks B.tastes C.sounds D。

feels( )7。

He quickly and has no breakfast to work。

A.get dressed B。

gets dress C.get dress D.gets dressed()8。

It is so hot today.You should and have a rest(休息)。

A。

to take a shower B。

take a showerC。

taking a shower D.take shower()9.Lily goes to school every day。

homework的用法

homework的用法

homework的用法**《和你唠唠“homework”的用法》**嘿,朋友!今天咱来好好唠唠“homework”这个词的用法,这可是英语学习中的常见词哟!先来说说“homework”常见的意思,它就是“家庭作业”的意思,简单直接,没啥弯弯绕绕。

比如说:“I have a lot of homework to do tonight. (我今晚有好多作业要做。

)”那在句子里,“homework”该咋用呢?听我慢慢道来。

第一步,注意它是不可数名词。

啥叫不可数?就是不能在它前面直接加数词,像“one homework”“two homeworks”这种说法可就闹笑话啦!比如说,你不能说“I have two homeworks.” 得说“I have a lot of homework.” 这就好比水,你不能说“one water”“two waters”,而得说“alot of water”,懂了不?第二步,“homework”前面的修饰词也有讲究。

咱可以用“much”“alot of”“lots of”“plenty of”这些词来表示“很多”,但可别用“many”哦!我给你举个例子感受一下,“She has much homework every day. (她每天有很多作业。

)”而不是“She has many homework every day.” 你要是用错了,老师的红叉叉可就来了!第三步,说到搭配,“do homework”是最常见的,“do”在这里就是“做”的意思。

“I'm doing my homework. (我正在做我的作业。

)”这就跟你每天的日常一样,是不是很熟悉?可别写成“make homework”哟,不然英语老师得气得跳脚!我跟你说,我以前学这个的时候,就闹过笑话。

有一次英语考试,有个翻译题“我每天做很多作业。

”我居然写成了“I make many homeworks every day.” 结果成绩出来,被老师狠狠批评了一顿,那叫一个惨呐!从那以后,我可就把这个知识点记得牢牢的啦!第四步,要是想说“完成作业”,那就用“finish homework”或者“complete homework”。

电大会计学位英语之2选择判断题

电大会计学位英语之2选择判断题

二、选择判断题Aa* Only after he comes to consciousness意识you can make the final decision结果. C. you can(can you?)*As I opened the door and went in, the children _____ on the bed playing. A. were sitting*As he was ill, he had to __ the party. -√A miss*Accor ding to the author, the future doesn’t need . √D. followers*After the they drove to the Guest house at speed. √ A. top*All I'm trying to do is to _____ why your condition has not been improved. √B. find outBb*By now Old Wang worked in that factory for twenty years. A. workedCc*Could I borrow that book when you've finished _______ it? √D. reading* Caught a ______of the taxi before it disappeared around the corner of the street . √B glimpseDd*disturbing her ,the news had a strangely calming effect.-√D instead of*Did he say anything about how the work √A was to be done*Do you think that the labor bill will be passed?"劳工案是否通过"Oh, yes. It's _____ that it will." √ B. very likelyteEe* Every one of the students had to do their own experiment试验, and then于是professor Brown judged判断the results结果 . √ A. theirGg*Get up earlier早的__ B.so that you can catch the train tomorrow morning.Hh*His plan _C. was laughed at by those who heard it.*He said he _ A.was to return返回from Germany the next day.*He smiled and told me I would receive收到a(n) C. extra$ 100 a year!*He is given answers that only D. add to his confusion混淆.* A.So long as he works hard, I didn't mind when he finishes the experiment实验.* He got two pieces of informations about the new product. √B. informations* He cannot remember the thing whose made me very sad. C. whose*Hangzhou is the most beautiful city I saw. D. saw*He had four copies of this article_____ in black. B. typed*He was afraid to _______ Mary when she was doing her homework. B. interrupt*He suddenly realized how much they_____.A. had both changed*His French was no than M. Partier's English. D. better*He had two houses. He lived with his wife and child in the outer house,___……C. which* He is the problem B you should pay attention.B. to which*He is very interested in the film,_D___I don’t like. D. that*He found it impossible to finish the work with such a sjort time(with )*He speaks English more flrenthy than his brother is. ( is )*He never ______ to read the news but turned at …….-√D. troubled* He lived to be ninety-eight, the _______ man in Bulgaria保加利亚.√ A. healthiest最健康的*he has a voice so that everyone can hear very clearly-√ clo ud*he did not feel going out as she had a slight headache -√C like* He didn't live up to实践____________ had been expected期待of him√ A. what*It was not very _ C. wise __of you to sell the house. The price is increasing增长中everyday.*It was difficult to guess what her _ D. reaction _____ to the news would be.*I didn't know what to do, but then an idea suddenly __D. appeared____ to me.*Inquiries调查_A. concerning the condition of the patients may be made personally or by telephone.*It's a pity可惜的___ C. that ____ you missed such an interesting program.*I know nothing about it _ C.except除…外__ what I have read in the papers.*"I believe you and Sally will really impress留下印象……expect _ B. too much of us __.*I know that either you or your father _√A.has _____ a copy.*If you don't go to school _ B. regularly __, you will not learn your lessons very well.*It's easier for me to go there on foot than driving a car. D. driving a car*It _____ the eyes to read in such poor light. A. hurts*I usu ally go back to my hometown by train, but this time I'll ____……A. try going*I remember the whole thing as if it _____ yesterday. C. had happened*I don' t like living with a room mate. I'm moving _____ my family's house. A. back to*I _____ him ever since he moved to America. A. have never heard of*If it ____ true, it will cause us a lot of trouble. B. is*I_D___my paper because it is too easy for me. D. have handed in*“I’m leaving now”“Make sure_D__the door”D you have locked* If you can’t pay the bill you’re going to( B. fall in troubles*It’s easier for me to go there on hot than drivng a car ( driving a car )*In newtonian it is not difficulty to write down the basic…that must be solved in…( not difficulty )*If you _____as I told you, this wouldn't have happened. A. had done*I never have coffee sugar.-C. Without*I don' t like living with a room mate. I'm moving _____ my family's house. √A. back to*I left my house early. , the traffic was terrible and it took me a long time to get there. √A. However*I usually go back to my hometown by train, but this time I'll _______ there by bus for a change. √A. try going*If the train arrives _______ it should be three o'clock exactly . √B. on time*I can hardly believe my eyes. This _______ man is actually a scientist who once won the Nobel Prize-√D. unremarkable *I ran _______ Alice, who was on her way to see how I was getting along. √D. into* I tried very hard to persuade him to join our group but I met with a flat _____ √C. refusal* I will repair this new TV set without charging免费because it is under _______. √C. guarantee保证期* I'll call to see you this evening _______ I can stay only a few minutes. √D.appeared出现,出席,发表*I felt that I was not yet _______ to travel旅行. √C. strong enough* It seems very difficult _______. √ C. to keep the child from crying使孩子不哭泣*It made us very angry like theft -√A to hear him talk*It is desirable that the airplane___ as light as possible. -√C be*I’m learning French, but I still can’t spea k it____. -√D really*____is easily seen.-√A The advantage of the economic reform*I be very nice if he could come for our party. √B. would*I’ll call in see you this evening I can stay only a few minutes. √D. though*I could not persuade him to accept it make him see the importance of it. √ D. nor could I*I was such a wonderful day that they decided it take a day to the mountain. √D. excursion*I,d rather read than watch television ,the programs seem __________all the time .-√C to be g etting worse*It was a long drive to get to the beach海滩and we three took the wheel轮子 . √ C. in turn依次Jj*Jack was riding his new mountain bike _______ top speed. A. at*Jim was upset last night becausehe had to do too many homeworks( many homeworks )*The race赛跑was so close紧凑that everyone was __D holding his breath ___at the finish.*The boy _ D. came at ___ the dog with a thick stick粗手杖but the dog did not yield服从.*They were so far away that I couldn't __ C. make out辨认出___their faces表情clearly.*This is a B. convincing____ argumen争论t.*The police did not at first her the crime罪行. A.contact接触with*The problem is how we can operate the new machine on such a short time. C. on (in?)*They that place before the earthquake took place. B. had left*The small boy kept _____his mother for a penny, so she gave …………D. asking*There was no bus. I have to walk home. B. have*Thunderstorms are _____common in Ireland than in England. D. much less*____this job, you have to have enough experience. A. To complete*The government will have to work hard__D___the confidence of the……D. to win back*The noise of the traffis A panl form his work. A. annoyed*The road is kept open_A__the year.A. throughout*The observer’s statement about the accident was very__D___.we know …… D. exceptional*This is a _C___argument. C. inconvincible*The instructor had gone over the problems many times befor ths students will take the final examination. ( will take )*They that place before the earthquake took place. B. had left*The boy __________ the dog with a thick stick粗手杖but the dog did not yield-√B.won over*This is the problem _______ you should pay attention.√ A. to which* The _______ you are, the happier they will be. √C. kinder*The speech _____, a lively discussion started.-√D. having been delivered* This is the hotel _______ I met the famous actor Chen Long. √B. in which*The government will have to work hard __________ the confidence of the people after the terrible event.√ A. to win back * They have never heard any .顾客投诉√ C. customer's complaint*The police did not at first her the crime罪行. √ A. connect with 连接* The United Nations Conference商会on Global ……, was a very ________ meeting.√ A. prod uctive多产*The escaped prisoner逃亡的囚犯waited until _____ of night before leaving his hiding遮盖place. √A. dark黑暗*_______ that my head had cleared, my brain was also beginning to work much better. √C. Now*The noise噪音of the traffic交易_________ Paul保罗from his work. √B. distracted心烦意乱的* that may eventually reduce the amount of …………√C.so clever are the construction robots*the student’s today is to write a book report --√ B assignment*the speech ,a lively discussion started.-√B、being delivered*the officials in the at London airport were very polite.-√ C、customs*The business has__ from having one office to having twelve. -√A expanded*The girl has made up her mind to go abroad with her boyfriend despite her parents’ ___ .-√D objection*The of air travel during this century has made the world seem smaller. √B. connection*The sign ___ that cars cannot enter √B means* the noise of the traffic __________paul from his work.-√D distracted*The company offered him high pay as an to accept the job. √ A. inducement*Those of us who smoke should have their hung lungs x-rayed regularlyMm*Mr. Wang is an engineer工程师__ D. by _____ profession专业.* D. Since many of the customers work …… night.*My father never gave me _A. much advice______.* _D___many of the customers work doing the day, Billy …… night. D. since* Many words in the English language are French in ___√C. origin* Mr. John kept thinking hard, but failed to _______a workable plan.√ A. come up with* Mary was going to a wedding婚宴so she brushed刷(发)_______ well. √ A. her hairNn*None of them spoke English __A. except_____ Sam.*Nobody knows how long and how……system will _ C. knock __ down the economy节约措施.* Now that the newspaper arrived we can see the scores of the tennis matches. B. arrived 到达*Now that they have successfully passed the TOEFL, the students were ready to begin……C. were*Now more and more young people are learning for the little hero. ( for )*Not until your work is finished _ √B. can you leavePp*Please don't leave the building __ D.unless asked_____ to do so.*Please don't get angry with him. _______, he was only 4 years old, you know. D. After allSs*Send us a message if you __ D. have any difficulty.*Since we can't hear you at the back of the hall, you'll have to _raise提高_ your voice.* Sunglasses太阳镜are used to _A.protect____ people's eyes from the light of the sun.*She did not feel _ A. like ____ going out, as she had a slight轻微的headache头痛.*Seriously , I don't understand the situation at all. D. speaking*She has read the article last week.A. has read* Some of your suggestions have been adopted but others have been ______ as they are not workable. √B. turned down拒绝*She ____ a new idea for increasing sales. -√A came up with*Shall we request the chairman__ our suggestion again? -√C consider* She has nothing to do with the murder case. She is not it. √C. involved inUu* Unless he is C intense love. he hardly evers eyes for very long ……C. confessingWw*Would you like some salad? _____C. No, thanks*We set up a lot of universities since 1949. We have also set up a Central……A. set up*We were _______ for half an hour in the traffic交通事故and so we arrived late. √C. held up* Without even thinking about _______ he was doing, he stopped the car. √ D. what*what time do you usually in the morning?-√A get up stress*We forgave his bad temper because we know that his son’s illness had put him under great____√D. stress*When her name was mentioned. I sam Mary from her seat. √D. risingYy* You should be working instead of lie there in bed. C. lie*Yesterday morning she _______ one of her old friends in the street. D. came across*You are_____ these problems. They can't be real. C. imagining*You ______ drive on the right靠右行驶in the U. S. A. √C. have to* you will need the things a pen, a notebook and a ruler.-√b following。

七年级英语译林版上册Unit2_Task同步练习

七年级英语译林版上册Unit2_Task同步练习

牛津译林版七上Unit 2 Let’s do sports! Period 6习题一、单项选择1. What's your favourite_______, Tom?I like playing footballA. fruitB. sportC. hobbyD. shopping2. Do you enjoy________with your classmates on the Internet?A. to talkingB. talkC. talkingD. to talk3. The girl has to do ________today.A. lots of homeworkB. a lot of homeworksC. a lot homework .D. lots of homeworks4. They________at school.A. have lunchB. have a lunchC. have a breakfastD. have the breakfast5. ________your father often__________TV at home__________?No, he is too busy.A.Is; watchB. Do; watchC. Does; watchD. Do; watches二、填空(每小题1分,满分10分)1. We r_______want to study English well.2. I go to see my grandparents four t______a month.3.You buy many things. What e______do you want?4.Yao Ming is a great basketball player. He is my______(偶像).5.We have a lot of__._(乐趣)playing sports.6.Can we watch the football________(比赛)this evening?7.Tony is good at_________(画画).He is in the Art Club at school.三、完形填空(每小题1.5分,满分15分)Hello, I am Jack. I'm the leader of a sport team. The team 31 are my father , my mother, my brother 32 my sister.My father is a famous 33 player in our city. He has a lot of fans. He plays in the national team and he will 34 in the World Cup.My mother has a 35 habit(习惯).She gets up early in the morning. .She jogs in a park. She also 36 doing yoga (瑜伽)in the evening. She is a happy mum. We love her very much.My brother likes table tennis. 37 plays it with his friends on Saturday or Sunday afternoon.My sister 38 to school every morning to keep fit. She is a dancer. Running helps her dance well.Like my 39 , I love football, too. I am 40 the Football Club of my school.I love my family—such a sport family.31.A. jobs B. members C. numbers D. tests32. A. or B. and C. but D. though33. A. basketball B. football C. tennis D. piano34. A. play B. stop C. lend D. use35. A. good B.bad C. beautiful D. young36. A. watches B. works C. makes D. enjoys37. A. She B. They C.He D.It38. A. walks B. runs C. jumps D. rides39. A. father B. mother C. brother D. sister40. A. at B. in C.of D. behind参考答案:一、单项选择1. B 由答句中的“playing football ”可知询问的是“运动”,故答案选B。

六年级英语第二单元试卷【含答案】

六年级英语第二单元试卷【含答案】

六年级英语第二单元试卷【含答案】专业课原理概述部分一、选择题(每题1分,共5分)1. What is the past tense of the verb "go"?A. goedB. wentC. goneD. goes2. Which word is an adjective?A. happyB. happilyC. happinessD. happinesses3. What is the plural form of "child"?A. childsB. childesC. childrenD. childs'4. What is the opposite of "big"?A. smallB. littleC. tinyD. huge5. What is the correct form of "I am" in the past tense?A. I wasB. I wereC. I beD. I amed二、判断题(每题1分,共5分)1. "He don't like apples" is a correct sentence. ( )2. "She can sings very well" is a correct sentence. ( )3. "They are going to the library" means they are already at the library. ( )4. "I have seen this movie" means the action happened in the past. ( )5. "She has a lot of homeworks" is a correct sentence. ( )三、填空题(每题1分,共5分)1. I _______ (go) to the park yesterday.2. She _______ (be) very tired after the exam.3. They _______ (watch) a movie last night.4. We _______ (visit) our grandparents next week.5. He _______ (do) his homework every day.四、简答题(每题2分,共10分)1. What is the difference between "I'm going to the store" and "I will go to the store"?2. Expln the difference between "I like to read" and "I like reading".3. What is the difference between "He has been working" and "He has worked"?4. What is the past perfect tense and give an example sentence.5. What is the difference between "They are studying" and "They have been studying"?五、应用题(每题2分,共10分)1. Write a sentence using the future perfect tense.2. Write a sentence using the present continuous tense.3. Write a sentence using the past perfect continuous tense.4. Write a sentence using the present perfect tense.5. Write a sentence using the past simple tense.六、分析题(每题5分,共10分)1. Analyze the following sentence: "If I had known about the test, I would have studied."2. Analyze the following sentence: "She has been living in New York for three years."七、实践操作题(每题5分,共10分)1. Write a short paragraph using at least three different tenses.2. Correct the errors in the following sentences:a) She don't like apples.b) He have three brothers.c) They is going to the library.d) I am liking this movie.e) She has a lot of homeworks.八、专业设计题(每题2分,共10分)1. 设计一个简单的英语学习计划,包括每天的学习内容和目标。

人教版五年级上册英语易错点检测卷-Unit 2 My week

人教版五年级上册英语易错点检测卷-Unit 2 My week

人教版PEP 五年级上册英语易错点检测卷Unit 2 Myweek (含答案)一、选出以下单词中不同类的一项。

二、用以下单词的适当形式填空。

1 . Tom often(read) books in the park.2 . I have a(cook) class every day.3 . Lily often(watch) TV on the weekend.4 . I often go(boat) with my parents on weekends.5 . I have two(fish)三、根据首字母或汉语提示完成句子。

1 . Today is T. Tomorrow (明天)is Friday.2 . I often do h on the weekend.3 . The day before Sunday is.4 . S is the first day in a week.5 . Let's e some b.四、单项选择。

1 . I often my homework after dinner.()A . make1 . A . watch2 . A . old3 . A . strict4 . A . what5 . A . clothes B . day B . maths B . read B . who B . watchC . do C . young C . shy C . is C . wash2 . We have a maths class Mondays.()3 . Amy often books on Sundayevening.( )7 . It's Friday today. Yesterday (昨天)is.()A . TuesdayB . ThursdayC .Friday8 . Li Ming Chinese, maths and PE on Mondays.()A . isB . hasC . have9 . you often watch TV in the evening?()A . DoB . AreC . Is 10 . —your PE teacher?()—Mr Li.)2.Can you the pipa well?)3.1 usually TV with my family on Sunday evening.A . readB . reads. What you?() A . forB . in. There are days in a week.() A . sixB . seven. I want to play football with you.(C . readingC . aboutC . eight()4.1 do my at()5.Do you often visit your grandparents the weekend? ()6.一What do you often do on Saturday?—I often the rooms.六、对话匹配。

Lutron Home Control+快速入门指南 (iOSTM)说明书

Lutron Home Control+快速入门指南 (iOSTM)说明书

Lutron ® Home Control+ Quick Start Guide (iOS TM )Application Note #570Revision A August 20151Technical Support — 800.523.9466Lutron ® Home Control+ App for Apple iPad, iPhone and iPod touch1. Downloada. S earch “Lutron ® Home Control+” in theApple App Store.b. D ownload and install “Lutron ® Home Control+”.Note: A separate app, “Lutron ® Home Control+ SalesTool”, is a sales tool intended to demonstrate certainfunctions of the app. The sales tool is unable to connect to an actual HomeWorks® QS or RadioRA®2 system.2. Connecta. C onnect the mobile device to the same network as the HomeWorks® QS or RadioRA® 2 system.b. Open “Lutron ® Home Control+” on the mobile device.c. A ccept the terms and conditions by checking each ofthe boxes, then select the “Accept All” option.d. S elect the “Add System” option. Once the systemis auto-discovered, select it from the list. If desired,follow the on-screen instruction to set up the system’sRemote Access capability. For instructions on settingup Remote Access, see Page 2.e. T o add a system manually, please reference the full“Lutron ® Home Control+” App Note. *3. ControlNavigate to the desired room to:• Adjust Lights• Adjust shades• Adjust temperatures• View and edit events• View and edit HVAC schedules• Activate keypad button scenes* Please reference the “RadioRA ® 2 / HomeWorks ® QS Home Control+App Guide” - a comprehensive guide for setup and best practicesfound on under “Service & Support” _“Application Notes” within the HomeWorks ® QS and RadioRA ® 2 sections.myLutron Authorized Installer access is required to view the guide.Apple, iPad, iPhone, and iPod Touch are trademarks of Apple Inc., registered in the U.S. and other countries.iOS is a trademark of Cisco in the U.S. and other countries and is used under license.2Setting Up Remote AccessSetting up a remote access connection to the system will allow control of lights, shades, and temperature from inside and outside the home when there is an internet connection available.Prior to completing these steps, please complete Steps 1 and 2 on the previous page.1. When adding a system, a prompt will appear providing the option to enable remote access.Select “Enable remote access”.2. The following screen will request the e-mail and password you wish to use as an account.If you already have an account, select the “I already have an account” link and input yourexisting credentials.Note: Your password must be 7 to 15 characters long and include at least 1 letter and1 number.3. Agree to the Remote Access charge or renewal (depending on the status of your remote accessaccount, only one prompt will appear).3Lutron Electronics Co., Inc.7200 Suter Road Coopersburg, PA 18036-1299 U.S.A. P/N 048-570 Rev. A 08/2015Lutron Contact NumbersLutron, HomeWorks, and RadioRA are registered trademarks of Lutron Electronics Co., Inc.WORLD HEADQUARTERS USALutron Electronics Co., Inc. 7200 Suter Road Coopersburg, PA 18036-1299 TEL: +1.610.282.3800 FAX: +1.610.282.1243 Customer Assistance:1.844.LUTRON1*******************North & South America Technical SupportUSA, Canada, Caribbean:****************** 1.800.523.9466Mexico:+1.888.235.2910Central/South America:+1.610.282.6701EUROPEAN HEADQUARTERSUnited KingdomLutron EA Ltd.6 Sovereign CloseLondon, E1W 3JF United KingdomTEL: +44.(0)20.7702.0657FAX: +44.(0)20.7480.6899FREEPHONE (UK): 0800.282.107Technical Support: +44.(0)20.7680.4481***********************ASIAN HEADQUARTERSSingaporeLutron GL Ltd.15 Hoe Chiang Road#07-03, Tower 15Singapore 089316TEL: +65.6220.4666FAX: +65.6220.4333Technical Support: 800.120.4491********************Asia Technical HotlinesNorthern China: 10.800.712.1536Southern China: 10.800.120.1536Hong Kong: 800.901.849Indonesia: 001.803.011.3994Japan: +81.3.5575.8411Macau: 0800.401Taiwan: 00.801.137.737Thailand: 001.800.120.665853Other Countries: +65.6220.4666。

七年级英语下册第二单元知识点归纳Unit2单元归纳

七年级英语下册第二单元知识点归纳Unit2单元归纳

Unit 2单元归纳短语归纳1.what time 几点2.go to school 去上学3.get up 起床4.take a shower 洗淋浴5.brush teeth 刷牙6.get to 到达7.do homework 做家庭作业8.go to work 去上班9.go home 回家10.eat breakfast 吃早饭11.get dressed 穿上衣服12.get home 到家13.either…or…要么…要么…14.go to bed 上床睡觉15.in the morning/ afternoon/ evening 在上午/下午/晚上16.take a walk 散步17.lots of 许多,大量18.radio station 广播电台19.at night 在晚上20.be late for 迟到用法集萃1.at + 具体时间点在几点(几分)2.eat breakfast/ lunch/dinner吃早饭/午饭/晚饭3.take a(n) +名词从事(……)活动4.half past +基数词……点半5. a quarter to +基数词差一刻到……点6.from …to …从……到……7.need to do sth 需要做某事佳作赏析主题:谈论日常作息习惯写作思路:按照时间顺序记叙一个人的日常作息习惯,必须注意时间的先后顺序,以及时间的表达方式,可以适当运用一些表示频率的副词.例文:My School DayI am a student. I usually get up at seven, and I eat breakfast at seven thirty。

Then I go to school at eight. School starts at eight thirty。

I eat lunch at twelve. I go home at 17:00。

a级语法考试题目及答案

a级语法考试题目及答案

a级语法考试题目及答案A级语法考试题目及答案一、选择题(每题2分,共20分)1. The book is worth _______.A. to readB. to be readC. readingD. being read答案:C2. He is _______ to do the work.A. enough carefulB. careful enoughC. enough carefullyD. carefully enough答案:B3. _______ the truth, he didn't pass the exam.A. TellingB. ToldC. To tellD. Having told答案:C4. _______ the problem, he decided to ask his teacher for help.A. Not understandB. Not understandingC. Not to understandD. Didn't understand答案:B5. I don't think it is necessary for you _______ the book again.A. readB. to readC. readingD. reads答案:B6. _______ the letter, she went out to post it.A. FoldingB. FoldedC. To foldD. Having folded答案:D7. _______ the book, he turned on the TV.A. ReadingB. ReadC. Having readD. To read答案:C8. _______ the problem, he decided to ask his teacher for help.A. Not understandB. Not understandingC. Not to understandD. Didn't understand答案:B9. _______ the truth, he didn't pass the exam.A. TellingB. ToldC. To tellD. Having told答案:C10. _______ the letter, she went out to post it.A. FoldingB. FoldedC. To foldD. Having folded答案:D二、填空题(每题2分,共20分)11. The children _______ (play) in the park when it began to rain.答案:were playing12. She _______ (not go) to the party if she is too tired.答案:won't go13. _______ (not make) any noise! The baby is sleeping.答案:Don't make14. _______ (be) there any milk left in the fridge?答案:Is there15. I _______ (not finish) my homework yet. I will finish it tonight.答案:haven't finished16. _______ (be) you born in this city?答案:Were you17. _______ (not forget) to bring your umbrella. It might rain.答案:Don't forget18. She _______ (study) English for three years before she went to the UK.答案:had been studying19. _______ (be) you ever been to Japan?答案:Have you20. _______ (not disturb) me while I am working.答案:Don't disturb三、改错题(每题2分,共20分)21. She don't like to go out in the rain.答案:doesn't22. There is too many people in the room.答案:too many → too many23. He has went to the library yesterday.答案:has went → went24. I am used to get up early.答案:get up → getting up25. She is the most beautiful girl in our class.答案:正确26. They have finished their homeworks.答案:homeworks → homework27. I can't wait to see the new movie.答案:正确28. He has been to China two times.答案:正确29. She is going to buy some foods.答案:foods → food30. We are going to leaved the city tomorrow.答案:leave → leave四、翻译题(每题5分,共20分)31. 他经常在周末去钓鱼。

Lutron HomeWorks QS KTS 系列产品功能手册说明书

Lutron HomeWorks QS KTS 系列产品功能手册说明书

KTS系列产品功能手册----Lutron HomeWorks QS集成说明适用产品– KTS/KAC/KCC主机网关系列Ver.2019.7 目录1、集成说明 (1)2、集成概述 (1)3、LUTRON系统设置步骤 (1)3.1、准备工作 (1)3.2、基本设置 (1)3.3、命令读取 (2)3.4、灯光控制 (3)3.5、窗帘控制 (4)3.6、空调控制 (5)4、KTS编辑界面相关设置 (6)4.1、基本设置 (6)4.2、模组设置 (6)4.3、灯光控制设置 (7)4.4、窗帘控制设置 (8)4.5、空调控制设置 (9)5、常见问题FAQ (10)1、集成说明集成系统:Lutron Homeworks QS集成方式:TCP/IP所用模组:K1013-TCP客户端自定义模组(路创IP自定义模组)适用产品:KTS1系列/KTS2/KTS3/KCC系列/KAC008调试环境:Lutron HomeWorks QS/KTS调试界面2、集成概述通过正爵TCP客户端自定义模组(路创IP自定义模组),可以实现Lutron与KNX系统的双向通讯,需要使用Lutron Homeworks Designer 软件读取控制命令,获取相关命令后,在KTS网关编辑页面内将其与KNX 系统组地址进行对应关系,即可实现集成功能。

本手册详细介绍了如何通过KTS系列主机网关将KNX系统与Lutron Homeworks QS系统进行对接,从而实现双向通讯的功能。

3、LUTRON系统设置步骤3.1、准备工作将正爵主机网关(以下简称KTS网关)与Lutron处理器连接至本地网络,二者处于相同网段;3.2、基本设置通过Lutron Homeworks QS Designer打开需要集成的程序,按照以下步骤进行配置:点击“①激活”选项卡,并选择为“处理器”,等待“②状态”显示为“好的”后,去掉“③DHCP”的选项,并修改IP地址、子网掩码和网关参数。

2020-2021学年人教版新目标英语七年级下册 unit1-2复习(单选、完成句子)(含答案)

2020-2021学年人教版新目标英语七年级下册 unit1-2复习(单选、完成句子)(含答案)

人教版新目标英语七年级下unit1-2复习一、单项选择( )1.It’s six o’clock in the morning. It’s time ________.A. get upB. for get upC. to get upD. of getting up( )2.We want two musicians ____ our rock band. Please call me ____ 123—4567.A. for, forB. for, atC. with, atD. at, for( )3.Tom can______ English. I can______it in English, too.A. speak; speakB. say; speakC. say; sayD. speak; say( )4.My uncle gets up early. He is never late ______work.A. inB. withC. forD. at( )5.She _____her _____every evening at home.A.does; homeworkB. does ; homeworksC. do; homeworkD. do; homeworks( )6.Jim’s brother usually________TV in the evening.A. watchesB. looksC. seesD. looks at( )7.It’s time ______ class. A. to B. for C. of D. with( )8.My brother can play _________. And he can play ________, too.A.a violin, footballB. the violin, the footballC. the violin, footballD. the violin, a footba( )9.The young ________ plays the ________ very well.A.pianist, piano B.piano, pianist C.pianist, pianist D.piano, piano ( )10.Can you speak English? — Yes, but only ____.A. littleB. a littleC. fewD. a few( )11.Thank you very much for _____ me to your birthday party.A. askB. to askC. inviteD. inviting( )12.—Can you help kids with ______? —Yes,I can.A. swimmingB.to swimC.swimsD.swim( )13.Clark is a teacher and he _________ Chinese.A. teachesB. watchesC. asksD. calls( )14.—My cousin is good at drawing. —Maybe he can ______ the art club.A. joiningB. to joinC. joinsD. join( )15.I usually ______ at nine thirty at night.A. get to schoolB. get upC.go homeD. go to bed( )16.My sister _______ home at 5:00 every day.A. getsB. gets toC. getD. get to( )17._The oranges _____sweet. --Of course. They are from Yongxing,Chenzhou.A. tasteB. eatC. drink( )18._I ______to school at eight. What about your brother? --He ______to school at seven thirty.A. go;goesB. goes;goC. go;goD. goes;goes( )19.It’s _________to listen to music in bed at home.A relaxedB relaxingC relaxesD relaxs( )20.I want________ the swimming club.A joinB to joinC inD be( )21.________ like to go climbing ________ spring and autumn.A.Children, on B.Children, in C.A child, on D.A child, in( )22.You can either sing_____ dance_____weekends.A. and; onB. or; onC. and; atD. or; in( )23.Dick never eats vegetables, so this is not a _____ life.A. happyB. healthyC. interestingD. sad( )24.It’s a (an) ______ movie and we all like it.A. difficultB. interestingC. tidyD. boring( )25.We need a math teacher ______ math.A. to teachB. teachC.teachingD. teaches( )26.We usually get ______quickly in the morning.A. DressB. dressingC. dressesD. dressed( )27.Do you like _____ a bus to school?A. takesB. takingC. takeD. by( )28.Does Jack teach ______ Chinese or math?A. theirB. youC. ourD. his( )29.My father ______ his coat and goes to work.A. put onB. puts inC. puts onD. put in( )30._Would you like an apple or a pear? -- _____ ,I really don't mind.A. BothB. EitherC. Neither二、完成句子1.史密斯太太喜欢和孩子们一起做游戏。

七年级英语下册Unit2知识汇总

七年级英语下册Unit2知识汇总

七年级英语下册Unit2知识汇总必会短语1.几点______________2.去上学_____________3.起床________________4.洗淋浴_______________________5.刷牙__________________6.做家庭作业__________________7.去上班__________________ 8.回家__________________9.散步__________________ 10.广播电台__________________11. at night__________________ 12. get dressed__________________13. go to bed__________________ 14. play sports__________________15, play computer games__________________重点句式1.里克,你通常几点起床?________ ________do you usually get up, Rick?2.我通常六点半起床.I usually________ ________at six thirty.3.斯科特有一份有趣的工作.Scott has________ ________ ________.4.他在一家广播电台工作。

He works at a________ ________.5.他们通常晚上六点四十五吃晚饭。

They usually eat dinner at________ ________ ________ ________in the evening. 6,晚上,我要么看电视,要么玩电脑游戏。

In the evening, I________watch TV________play computer games.7.在十二点,午饭她吃许多水果和蔬菜。

英语作文家务帮手,八下第二单元

英语作文家务帮手,八下第二单元

英语作文家务帮手,八下第二单元英文回答:Domestic Helper.In the fast-paced world of today, many families are struggling to keep up with the demands of daily life. One solution to this problem is to hire a domestic helper. A domestic helper can assist with a variety of tasks, such as cleaning, cooking, laundry, and childcare. This can free up family members to focus on their work, studies, or personal lives.There are many benefits to hiring a domestic helper. First, it can save you time. Instead of spending hours each week on household chores, you can use that time to do things you enjoy. Second, it can improve the quality of your life. A clean and organized home can make you feel more relaxed and productive. Third, it can help you to maintain a healthy work-life balance. By outsourcinghousehold tasks, you can free up more time to spend with your family and friends.Of course, there are also some potential drawbacks to hiring a domestic helper. One is the cost. Domestic helpers can be expensive, especially in large cities. Another is the potential for privacy concerns. You will need to trust your domestic helper with your home and your belongings.Overall, hiring a domestic helper can be a great way to improve your quality of life. However, it is important to weigh the benefits and drawbacks carefully before making a decision.中文回答:家务帮手。

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半导体物理学 • 2.1设晶格常数为a的一维晶格,导带极小值附近能量Ec(k)和 价带极大值附近能量Ev(k)分别为
h2 k12 3h2 k 2 h2 k 2 h2 (k k1 )2 Ec k 和Ev k 3m0 m0 6m0 m0
M0为电子惯性质量,k1=1/2a,a=0.31nm,试求: (1)禁带宽度; (2)导带底电子有效质量; (3)价带顶电子有效质量; (4)价带顶电子跃迁到导带底时准动量的变化;
考虑自旋为:
V
2
V 4
2 3
8m m m
x y z
1 2
E dE
1 2
V 2
2 3
8m m m
x y z
1 2
E dE
1 2
北工大电控学院
半导体物理学 2.9 对n型Si,用回旋共振方法测电子的有效质量。当B分别 沿〔111]、〔110]、〔100〕时,可以观测到几个吸收峰? 各对应多大的回旋共振有效质量。
h2 2 ik r (r )[ V (r ) E (k )]e uk (r )dr 0 2m k x * k h2 2 ik r (r )[ 2m V (r ) E (k )]e k x uk (r )dr * k
e
北工大电控学院
半导体物理学
(1)禁带宽度
dEc (k ) 2h2 k 2h 2 (k k1 ) 8h 2 k 6h 2 k1 令 0 dk 3m0 m0 3m0 3 得k= k1 4 h 2 k12 3 故导带底能量为 Ec ( k ) 4 4m0
dEv (k ) 6h 2 k 令 0 dk m0 h 2 k12 得k=0 故导带底能量为 E v (0) 6m0
e 1 k N1a1为2的整数倍 k N1a1 kN1 2 l1 2 k l1 N1
ik N1a1
2 2 得k n n (n 0. 1,2,...) N1a1 L 此时出现不连续
北工大电控学院
半导体物理学
2.12 什么是布里渊区? 能带中的电子可以用波矢k来描述其状 态,即电子能量和速度都是k的函数,晶体 中电子所有的运动状态都可以由k空间来描 述,这个区域叫布里渊区。在波矢空间中取 一倒易阵点为原点,所做所有倒易点阵矢量 的垂直平分面,这些面将波矢空间划分为一 系列的区域,其中离原点最近的叫第一布里 渊区。
北工大电控学院
半导体物理学
北工大电控学院
半导体物理学

北工大电控学院
半导体物理学
北工大电控学院
半导体物理学
北工大电控学院
半导体物理学
2.5 对于下述两种晶体,求能量E到E+dE间得状态数。 2 2 2 2 2 E kx , k y kx k y 2 k kx k y 2m 2 2 2 2 2 2 Ek kx ky kz 2mx 2m y 2mz
北工大电控学院




kz
2


解: (1)在二维k空间中每个k在k空间所占的体积为(2)2/LxLy 2k 2 E kx , k y 2m 2

上式对k求导得 ,即
dE kdk m
kdk mdE/ 2
在二维平面内,kx,ky等能面是一个圆,面积微元为2kdk 所以状态数共为 2kdk S m dE 2 2 2 2 S m S m S 2 dE dE 2 2 考虑自旋为: 2
(2)导带底电子有效质量
3m0 h2 h2 * mnc 2 2 3.42 1031 kg d Ec (k ) / dk 2 8h / 3m0 8
(3)价带顶电子有效质量
m0 h2 h2 * mnv 2 1.52 1031 kg d Ev (k ) / dk 2 6h2 / m0 6
北工大电控学院
半导体物理学
北工大电控学院
半导体物理学
2.10 叙述半导体中电子运动的特点。比较与 真空中有什么不同?
半导体中电子的运动特点:
1.电子在以晶格常数为周期的周期势场中运动 2.波函数是布洛赫波的形式 3.能量状态呈能带状 4.状态k取值不再连续变化,受到了周期性边界条件的限制
真空电子的运动特点:
1.电子自由运动 2.具有波粒二象性 3.电子在真空中的波矢量k是连续的 4.能谱连续
北工大电控学院
半导体物理学 2.11电子在真空中的波矢量k是连续的,晶体中为什么是分立的? 固体中原子排列周期性的特点,使得半导体中每个原子周围的 势场u(r) ,具有原子晶格的周期性。 例如一个一维有限晶体,a1方向有N1个原胞,周期性边界条件 要求:(r)= (r+ N1a1) ik ( r N1a1 ) ik r e uk (r N1a1 ) e uk (r )
h2 k12 3 h2 禁带宽度 Eg Ec ( k1 ) Ev (0) 4 12m0 48m0 a 2
(6.625 1034 )2 J 1.045 1019 J 0.65eV 48 9.108 1031 (0.31109 )2
北工大电控学院
半导体物理学
北工大电控学院
半导体物理学 • 量子力学中,电子的速度算符为:
P h v m im h * 平均速度:v k (r ) k (r )dr im h 2 哈密顿方程: V (r )] k (r ) E (k ) k (r ) [ m ik r 布洛赫波: k (r ) e uk (r ) 对哈密顿方程 取微商: kx k (r ) E (k ) h2 2 k (r ) [ V (r ) E (k )] 0 k x 2m k x
1 2
2m y E b 2
1 2
2mz E c 2
1 2
1 4 4 1 V abc 3 8mx m y mz 2 E 2 3 3 体积微元为 3
1 3 dV 4 8mx m y mz 2 E 2 dE dV dE 3 dE 3 2 状态数为: 1 1 1 3 1 dV V 4 V 8mx m y mz 2 E 2 dE 2 3 8mx m y mz 2 E 2 dE 3 3 3 2 4 2 2 3 1
ik r
h2 2 * uk (r )[ V (r ) E (k )]* k (r )dr 0 k x 2m
E (k ) h 2 * k (r ) k (r )dr 0 k x im x h2 1 E (k ) 1 E (k ) 1 E (k ) * vx k (r ) k (r )dr , vy , vz im x h k x h k y h k z
(4)准动量变化
3 3 3h hk h( k1 0) hk1 8.01 1025 N s 4 4 8a
北工大电控学院
半导体物理学 2.2 已知一维晶体的电子能带可写成 • E(k)=E0[0.4+0.1cos(2ka)-0.5cos(ka)] • 其中E0=6eV。晶格常数a=3x10-10m • (1)画出E-k关系曲线。 • (2)求能带的宽度。 • (3)求能带底部和顶部的有效质量。
北工大电控学院
半导体物理学
(2)在三维k空间中每个k在k空间所占的体积为: (2)3/V E(k)关系为椭球。 2 2 2 ky kx kz 椭球标准方程为: 2 2 1 2 a b c 对比有椭球的三个半径为:
2m x E a 2 a、b、c为椭球的三个半径,椭球的体积为
半导体物理学
h2 h2 2 ik r k (r ) [ V (r ) E (k )]e uk (r ) 0 im x 2m k x
第二项等于零,用 k (r )乘等式两边,并对电子 * 坐标积分, E (k ) h 2 * k (r ) k (r )dr k x im x
k (r ) ik r ix k (r ) e uk (r ) k x k x
[ix k (r )] ix k (r ) 2i k (r ) x
2 2
北工大电控学院
E (k ) h2 2 k (r ) ix[ V (r ) E (k )] k (r ) k x 2m
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