homework 5
小学英语五年级下册第二单元教案 北京版
教学内容Unit 2 What do flowers do? Lesson 5(第一课时)1. 功能句型:What’s the English for the different parts of a plant?They are …. .2. Lesson5 课文课型□新授课□练习课□训练课□作业课□ 全册备课人单元备课人复备人教学目标(一)知识与技能目标:1.能够听懂并朗读Listen and say 中的对话内容;能运用“What’s the English for the different parts of a plant?”询问植物各部位名称及回答。
2. 能听懂、会说、认读植物各部位、电脑各部位、钟表各部位名称等词汇,并能在实际情景中运用。
3.可通过制作“英语植物角、英语植物海报”完成Let’s do 中的活动并进行班级文化宣传。
(二)过程与方法目标:1.通过图片,对文章的理解学生能描述生物功能,作用的句子。
2.通过对单词的拼读,字母组合的学习,学生能够理解、应用单词。
3.通过机械的操练,角色的扮演以及学生分组的练习,学生能够正确的朗读课文。
(三)情感态度价值观目标:能认识植物部位名称,了解大自然,亲近、热爱大自然。
教学重点 1.能听懂,会说表示生物功能,作用的句子,并能在实际情境中运用,并按照情境做出正确的反应。
2.一般现在时的运用。
教学难点 1.对叶子功能的理解。
2、一般现在时的掌握。
教学过程一、Warming up( 2’ )活动一:Free talk 引入课文话题T: How many seasons are there in a year?S: There are four seasons in a year. They are spring, summerautumn and winter.T: What color is the leaves in summer?S: Green .T:What color is the leaves in autumn?S: YellowT: What about spring?S: Green.设计意图:通过师生谈话进行热身,并复习四季树叶的颜色调动学生学习本课的积极性。
英语写作homework5——paragraph
①Classification/ExpositoryAccording to the General Principles of the Civil Law, the subject of civil law can be divided into three types: natural person, legal person and other organizations. Natural person is the basic subject of civil law. Every person, not only men but women, gains equal capacity for civil rights once he was born. But the capacity for civil conduct of natural person is different from one to another. The second kind of the subject is legal person. Legal person has different forms, such as firms, state organs, and so on.Legal person, which is recognized by law, has the capacity for civil rights and civil conduct and bears independent responsibility for its behaviors in accordance with the law.The last type is other organizations. This subject has not been defined clearly. But one thing we know is that it’s an organization which isn’t registered as legal person, for example, partnership. These three subjects form the system of the subject of civil law.②Location/DescriptionI was born in a small village. The village is surrounded by a lot of fields and trees. Ioften think it as a wonderland. Located in the most north of the village is a primary school.Almost all children in the village study in the school. We can hear children reading and laughing time to time. A small processing plant, which offers many job opportunities to the residents, is lying at the south of the school. Continue south, and you will see the place where people live in. This area is divided into two parts, the north part and south part, by a river named Tiedi River. And now the river is being widened. Located in the most south of the village, about 200 meters far away from the place where people live in, is a dumpling factory. It produces a large number of dumplings every day and sends themto the markets nearby for sale. Although my village is small, it is full of warmth and happiness.③Time/NarrativeTo prepare for the seminar this week, I did a lot of preparations. To start with, I went to the school library to borrow some related books. These books were basic materials for the question. After reading all the books, I picked out the topic opinions. And then, I searched academic dissertation on the internet. After that I chose the useful pieces among them and took notes of significant information. After completing all these tasks, I made comparisons between different theories to find the similarities and differences between each other. At last, I put forward my own opinion on the basic of reading and summary. It was so difficult a task for me but I finished it finally.④Illustration/ ExpositoryIt’s hard to say how frogs survive both in water and on land. Some scientists believe that Frogs may breathe through lungs or absorb the oxygen in the air through moist skin when they are on land, and it is the same when frogs are in water. But other scientists couldn’t agree with this point. They do researches to find whether frogs can breathe in water and they finally draw a conclusion. They support that frogs can not breathe in water.Frogs can only hold their breath in water and have to take a breath out of water regularly;otherwise, they will be drowned. This is another explanation about how frogs survive both in water and on land.⑤Climax/DescriptionThe sky darkens to a near black and there is no sunshine. The air is so dull with darkclouds that we cannot feel a little vigor and vitality. Suddenly the lighting begins, accompanied by loud thunder sounds. Children are so scared by the lighting and thunder that they bury their heads in their parents’ lap to shut out this sight. Pedestrians on the road are in a hurry to back home. Finally, the rain falls down.⑥Cause and effect/ExpositoryAccording to scientists’researches, the reduction in number of frogs is caused by following reasons. Firstly, with the rapid development of industry, the environmental pollution increases alarmingly. The pollution destroys the surroundings where frogs live in. Secondly, climate change makes the living environment for frogs different. Many frogs fail to adjust to the changing conditions of existence and a large number of frogs die of the climate change. Finally, humans are the biggest killers of frogs. Nowadays, many people eat frogs at the table to satisfy with their curiosity. All these reasons make us seldom see frogs even in rural areas.⑦Comparison/ExpositoryNot only litigation but also mediation can settle down the dispute happening in people’s daily life. Although they have different rules, they all resolve the dispute in peaceful methods. Litigation functions through the power of judicial organ and settle down the dispute in accordance with law. Law plays an important role in litigation. The result of the litigation is forceful. Mediation means that two parties come to an agreement by negotiating with each other or with the help of a third person. On the contract, mediation is based on the agreement of two parties to a great degree. The agreement reached by two parties has a significant effect on the final result. However, as differentways to resolve disputes, both litigation and mediation are searching for the balance between two sides and get the result which both parties are satisfied with.。
英语练习册五下沪教版答案
英语练习册五下沪教版答案Unit 1: My DayExercise 1: Vocabulary1. Morning - 早晨2. Afternoon - 下午3. Evening - 晚上4. Lunch - 午餐5. Homework - 作业Exercise 2: Fill in the Blanks1. I usually wake up at 7 a.m.2. I have lunch at school with my friends.3. I do my homework after dinner.4. I go to bed at 9 p.m.Unit 2: My FamilyExercise 1: Vocabulary1. Father - 父亲2. Mother - 母亲3. Sister - 妹妹/姐姐4. Brother - 弟弟/哥哥5. Grandfather - 祖父/外祖父6. Grandmother - 祖母/外祖母Exercise 2: True or False1. My mother is a teacher. (True)2. My father works in a bank. (False)3. I have two brothers. (True)4. My grandparents live with us. (False) Unit 3: My HobbiesExercise 1: Vocabulary1. Reading - 阅读2. Drawing - 画画3. Playing football - 踢足球4. Singing - 唱歌5. Dancing - 跳舞Exercise 2: Choose the Correct Answer1. What does he like to do in his free time? - A: Reading- B: Drawing- C: Playing football- Answer: C2. What is her hobby?- A: Singing- B: Dancing- C: Both A and B- Answer: AUnit 4: SeasonsExercise 1: Vocabulary1. Spring - 春天2. Summer - 夏天3. Autumn - 秋天4. Winter - 冬天Exercise 2: Match the Seasons with the Activities1. Spring - Planting flowers2. Summer - Swimming3. Autumn - Harvesting4. Winter - SkiingUnit 5: Food and DrinkExercise 1: Vocabulary1. Apple - 苹果2. Banana - 香蕉3. Orange - 橘子4. Milk - 牛奶5. Water - 水Exercise 2: Complete the Sentences1. I like to eat apples for breakfast.2. Bananas are my favorite fruit.3. I drink orange juice every morning.4. Milk is good for our bones.5. We should drink more water every day.Unit 6: AnimalsExercise 1: Vocabulary1. Cat - 猫2. Dog - 狗3. Elephant - 大象4. Tiger - 老虎5. Monkey - 猴子Exercise 2: Fill in the Blanks with the Correct Form of the Word1. The tiger is the _biggest_ (big) animal in the forest.2. I have a _small_ (small) cat at home.3. Elephants have _long_ (long) trunks.4. Monkeys are very _clever_ (clever).Unit 7: TravelExercise 1: Vocabulary1. Plane - 飞机2. Train - 火车3. Bus - 公共汽车4. Ship - 船5. Car - 汽车Exercise 2: Choose the Correct Mode of Transportation1. To go to school, I usually take the _bus_.2. For a long journey, I prefer to travel by _plane_.3. I often go to the countryside by _train_.4. To visit a nearby city, I use my _car_.Unit 8: WeatherExercise 1: Vocabulary1. Sunny - 晴朗的2. Rainy - 下雨的3. Cloudy - 多云的4. Windy - 有风的5. Snowy - 下雪的Exercise 2: Describe the Weather1. Today is sunny, and I want to go to the park.2. It's rainy outside, so I will stay at home.3. The weather is cloudy, and it might rain later.4. It's very windy, so I need to wear a jacket.5. In winter, it's often snowy, and we can play in the snow. 结束语希望这份答案能够帮助你更好地复习和掌握本学期的英语知识。
homework5
任务型阅读请认真阅读下列短文,并根据所读内容在文章后表格中的空格里填入一个最恰当的单词。
注意:每个空格只填一个单词。
As soon as the weather gets warmer, charities start to ask for money. If you are also trying to raise money for a charity, you can make use of the following tips and tricks to help you.Parties are great ways to raise money for charity. If you have a party with a theme that has something to do with your charity, that’s even better. For example, you can have a pink drink party to raise money for breast cancer research. At a party like this, every drink you make would be pink, so you could pink lemonade drinks and serve red wine. Tell your guests to be dressed in pink to keep the fun going. If you are raising money for another cause (事业) with a meaningful color, make drinks with those colors. And remember, when you send out your invitations, ask for a specific donation. When people come, they’ll give you money and you’ll be much closer to your goal.Selling cookies or any other baked food is another wonderful way to raise money. You can make cookies cut out to look like ribbons (绶带) and paint them the color of your cause. Wrap them individually and set them out in your office for people to buy. This is not only a great way to make money, but also a great way to let people know you are taking part in a charity event.If cookies are not your thing, ribbons are another great way to spread the word about your event. Make fun ribbons inexpensively and hand them out with note cards which show in detail how people can donate to you. All you need are a few spools (线轴) of fun ribbon in your cause’s color, some hot glues and safety pins (别针). Cut the ribbon, glue it together, and put a pin on the back. Easy and cheap!In the age of the Internet, having a website is also a perfect way to tell your story and give details to people about how to donate. If you’re taking part in a charity event for a specific reason — maybe you suffered from a disease yourself, or maybe you know someone who has been ill, then a webpage with pictures and stories can help your fr iends and family see just how important this charity is to you, and they’ll then be more likely to donate to your cause.单词拼写:1. Can you take out the ___________ when you go off to work? (垃圾)2. Such ____________ is unacceptable in public. (行为)3. Various ______________ for these changes in climate have been offered by scientists all over the world. (解释)4. In the final ______________, Harry expressed his love to Julia. (场景)5. Teachers in this school are given complete _______ in their choice of teaching materials. (自由)6. I think we all learned a _____________ lesson today. (宝贵的)7. After a brief __________ of silence, the students started their discussion. (时期、时段)8. She drew back the _________ to let in the light, and then sat down to enjoy a cup of tea. (窗帘)9. Students at our school generally have the highest test __________ in the city. (分数)10. In this country, women are ______________ to enter the temple. (禁止)1. garbage2. behaviour3. explanations4. scene5. freedom6. valuable7. period8. curtains9. scores 10. forbidden参考答案:51. linked/related 52. wear 53. base 54. invite 55. shapes56. sell 57. ways 58. materials 59. Have/Design/Build/Create/Make/Develop 60. importance。
新人教版五年级上册英语第二单元测试题 (5)
Unit 2达标检测卷时间:40分钟满分:100分听力部分 (30分)一、听录音,选出句子中包含的单词或词组。
(5分)( ) 1. A. Saturday afternoon B. Sunday afternoon C. Saturday morning ( ) 2. A. week B. weekend C. wait( ) 3. A. Tuesday B. Friday C. Thursday( ) 4. A. play the pipa B. play the piano C. play the violin( ) 5. A. art B. music C. science二、听录音,根据所听内容连线。
(5分)1. 2. 3. 4. 5.A. B. C. D. E.三、听问句,选择正确的答语。
(10分)( ) 1. A. Yes, I am. B. Yes, she is. C. Yes, I do. ( ) 2. A. Oh, I love art. B. I have Chinese and maths.C. I don't like PE.( ) 3. A. No, I don't. B. Yes, I often play football.C. I have a basketball class.( ) 4. A. I often do my homework. B. He often plays the piano.C. She often plays with her toys.( ) 5. A. Yes, he does. B. No, she isn't. C. No, I don't.四、听短文,完成句子。
(10分)1. Today is ______________.2. Jack and Lily go to ________ together.3. They have ________, English and music today.4. Jack often plays sports and ________ ________ after school.5. Lily often ________ her ________, and sometimes she draws pictures.笔试部分 (70分)五、根据图片及所给首字母提示写出短语。
人教版新目标七年级下册英语-unit2-检测题
新目标英语七下Unit 2单元检测题下列短语。
1. 起床__________2. 淋浴_______________3. 到达___________________4. 回家__________5. 刷牙_____________句意及音标写出正确的单词。
1. Do you _________ /'l I sən/ to English tapes every morning?2. I take the No.85 bus to the _________ /həu'tel/3. Frank often __________ /ra I ts/ to his pen pal on weekends.4. I do my ___________/'həumwə:k/ every evening.5. Can you ________ /tel/ me something about yourself ?III. 选择填空。
1. After _______ lunch he plays _______ guitar.A. the , theB. /, /C. / , theD. the , /2. I want to know something _______ your evening.A. aboutB. onC. aroundD. in3. He _________ at 6:00 in the afternoon.A. get homeB. gets to homeC. gets homeD. go to home4. _______ at 8:00 in the morning.A. The classes beginsB. Class beginC. Class beginsD. Begin class5. He _________ his homework ________ Sunday morning.A. doesn’t, onB. don’t do, inC. don’t, inD. doesn’t do, on6. ---What’s the time ? ---_______9:40.A. ItB. It’sC. ThisD. This is7. Hurry up! It’s time ________ school.A. go toB. forC. to goD. to going8. Mike likes ______ TV and Jim likes ______ books.A. to watch; to readB. to watch; to seeC. to see ; to readD. to see; to look9.Now please look ________ the picture and listen ________ me.A.at;atB.at;toC.to;atD.to;to10. .It’s ________ now.A.nine and forty-fourB.nine-forty-fourC.nine forty-fourD.nine and forty four11.---- do you usually get up?---- At six o’clock.A. WhatB.What timeC. Why12.Jim housework on weekdays. He it on weekends.A. doesn’t do; doesB. doesn’t ;doesC.isn’t do; doesD.doesn’t ;do13.----Tell us something about Canada,OK?---- I’m sorry. Jack I have ever been there.A. Either; orB.Not only; but alsoC.Both; andD.Neither;nor14.It’s a good to have break-fast every morning.A. hobby tB.jobC.menu15.---- It’s said that this kind of tofu smells terible.---- That’s true . But it delicious.A. feelsB.soundsC.tastes16.I often have egg and a glass of mild for breakfast every day .A. an; /B.a; /C.an; theD.a; the17.What number bus do you ?A. haveB.getC.take18.Tony often goes to bed nine o’clock.A. inB.onC.at19.He his homework Sundays.A. doesn’t; onB.don’t do ; inC. doesn’t do; onD. don’t ; on20.Tom usually goes to school 7:30 the morning.A. at ; inB.in; atC.on; inD.at; onIV.完型填空Gina is 1 American girl . She is 2 New York . She’s thirteen . She 3 in No.5 Middle school in Zhengzhou. Gina often 4 up at 6:30 on weekdays . she often has a cup of tea, an egg and 5 bread for breakfast . She goes to school at 7:30 and 6 there before 8:00. Gina has breakfast 7 her parents at 7:25 “Have a cake, Gina. 8 very nice,”9 her mother. “Sorry, Mum. I must 10 now. I’m getting late. School starts at 8:00,”says Gina.1. A. a B/. C. the D. an2. A. at B. to C. in D for3. A. study B. studies C. studying D studys4. A. get B. gets C. put D puts5. A. m uch B. any C. many D some6. A. get B. get to C. gets D gets to7. A. with B. for C. from D at8. A. Its B. It’s C. It D They’re9. A. says B. speaks C. tells D talks10. A. to go B. goes C. go D goingV.补全对话从方框中所给的句子中选择合适的句子补全对话。
Homework5_2013_solution1
3.21 Consider the M/M/1/m system which is the same as M/M/1 except that there can be no more than m customers in the system and customers arriving when the system is full are lost. Show that the steady-state occupancy probabilities are given by()m n p m n n ≤≤--=+0,111ρρρ证明:方法1, 直接使用系统状态变化的马氏链去计算方法2,可以使用截断马氏链的结果去做3.55 Consider the feedback model of a CPU and I/O device of Example 3.19 with the difference that the CPU consists of m identical parallel processors. The service time of a job at each parallel processor is exponentially distributed with mean 1/μ1. Derive the stationary distribution of the system.Solution:3.57 Consider the network in Fig 3.39. There are four sessions: ACE, ADE, BCEF, and BDEF sending Poisson traffic at rates 100, 200, 500, and 600 packets/min, respectively. Packet lengths are exponentially distributed with mean 1000 bits. All transmission lines have capacity 50 kbits/sec, and there is a propagation delay of 2 msec on each line. Using the Kleinrock independence approximation, find the average number of packets in the system, the average delay per packet (regardless of session), and the average delay per packet of each session.Figure 3.39Solution :参考P211, section 3.6.1详细过程略。
新湘少版小学英语五年级下册全册教案
Unit 1 We are going to read stories第一课时一、教学目标(一)语言目标1、词汇:能听懂、会说、认读listen to,talk about,read, write about, put on a play,short, interesting。
2、句型:能用“What are going to do?”“We are going to ?”谈论某人的计划或打算。
(二)应用目标1、能用be going to 结构谈论自己的计划。
2、能听懂、会说A部分的对话。
二、教学重、难点1、重点:能听懂、会说、认读 listen to,talk about,read, write about, put on a play,short, interesting能用“What are going to do?”“We are going to ?”谈论某人的计划或打算;能听懂、会说A部分的对话。
2、难点:理解be going to 结构的用法。
三、教学准备课件、单词卡片四、教学过程Step 1 热身/复习(Warm-up/Revision)1、Greetings2、TPR activitiesStep 2 新课呈现(Presentation)1、 New words(1)学习listen to①欣赏一小段欢快活波的音乐,引出listen to 的学习。
T:Thank you, children. You are working hard.Are you tired? We are going to listen to some music.②板书listen to 一词,引导学生观察这个动词短语的组成,先分别读再组合读。
(2)学习read,read steries, interesting(3)学习talk about,put on a play,short, write about(4)学生跟读B部分的词汇,模仿原声带的地道发音。
Module 5 模块表格式教案
课题
Module 5 Cartoons
Unit 1 It’s time to watch a cartoon.
课时安排
1
课型
Listening and speaking
教学目标
1. The students will be able tounderstand conversations about cartoon characters and identify specific information.
1.A6: Listen and underline the words the speaker stresses.
Listenandcheck, then listen and repeat.
2. Pair work in A7: Work in pairs. Ask and answer the questions.
2.The students will be able totalk about one’s favorite cartoon characters.
重难点
1. The students will be able to use the key wordscartoon,handsome, smart, fight, cool, humorous, can’t help dong sth., laugh, lesson,in real situations.
When do you read or watch them?
Which one do you like reading?
Step 5 Summary
Give them some sentences
Homework 5(参考译文)
• 7. 艰苦奋斗的精神要贯彻始终。 • The spirit of plain living and hard struggle must be carried through. • 参考译文:………must be promoted / fostered. • 8. 你放心,我死也不会说出去的。 • Set your heat at rest. I won't tell anybody even if I died. • 参考译文:I would die before I…
• 2. 我们要把改革开放提高到一个新水平。 • We must raise our reform and opening up policy to a new level. • 参考译文: We must do better / do a better job in reform and opening up. • We must step up our efforts to … • We should open the country wider and strive for fuller implementation of thee …
• 3. 她有好几分钟说不话出来。 • She could not say any words for several minutes. • 参考译文:She was speechless for… • Several minutes passed before she found her tongue again.
II. Translate the following sentences into English. Pay attention to the words in bold.
人教PEP版 五年级英语上册unit 2 my week 单元检测题含听力材料和答案
五年级英语上册第二单元测试卷听力部分(共30分)一、听录音,选出你所听到的单词。
(10分)( )1. A Saturday B Sunday C.sunny( )2. A. cook B.Cooks C cooking( )3. A. wash B, watch C math( )4.A.do B who C food( )5. A car B park C hard二、听录音,请给问句选出合适的答语。
(10分)( ) 1. A. Yes, it's Monday. B. No, it isn’t C. Yes. I do( )2. A. I often listen to music. B I have a computer class on Mondays.C I often play sports on Saturdays.( )3. A. I don't like sports. B No, I often play football. C. Yes, I do ( )4. A. Me too B, Yes, it is C. No. I am not( )5. A. We have science and music. B. We often read books on Fridays.C I have a football.三、听录音,选出与录音内容意思相符的图片。
(其中有三项多余)(10分)笔试部分(共70分)四、读一读,判所所给单词画线部分的读音是(T)否(F)相同。
(10分) ( )1. A. read B.bread C. teacher( )2.1. eat B.tea C, head( )3. A beef B. meet C.feed( )4. A. meat B. eat C. repeat( )5.A clean B. please C. Breakfast五、根据图片写出单词或短语。
最新陕旅版五年级英语上册全册单元测试题(含答案)
最新陕旅版五年级英语上册全册单元测试题(含答案)Unit1 单元测试卷⼀、选出划线部分发⾳不同的⼀项。
( ) 1. A. bike B. time C. milk D. smile( ) 2. A. bag B. name C. cat D. cap( ) 3. A. kick B. fish C. sit D. time( ) 4. A. picture B. ice C. life D. ride( ) 5. A. city B. pig C. lift D. like⼆、根据情景写短语。
Tom是个好学⽣,每天六点就(起床) (1) _________。
(按时) (2) __________ 校不(迟到) (3) __________ 放学之后(做作业) (4) __________ 九点之前(上床睡觉) (5) __________,早睡早起⾝体好。
三、根据中⽂意思写出英⽂。
1. Do you __________ __________ (看电视) every evening?2. I read a book at __________ __________ (2点20分) in the afternoon.3. What time do you __________ (跑步)?4. Look at the __________ (时钟). It’s __________ (⼋点整).5. What time does your father __________ __________ __________ (去上班).四、单项选择。
( ) 1. ________ I come in?A. MayB. mayC. Am( ) 2. —________ is it?—It’s ten fifteen.A. WhatB. What’sC. What time ( ) 3. ________ you do exercise in the morning?A. DoesB. DoC. Are( ) 4. What time ________ your grandpa go to bed?A. doB. doesC. is( ) 5. I run ________ four o’clock.A. atB. onC. in( ) 6. Don’t play ________ computer games.A. many tooB. too muchC. too many ( ) 7. Look at the clock ________ the wall.A. onB. inC. /( ) 8. You ________ late again.A are B. do C. be( ) 9. —Do you often play football here?—________A. Yes, I don’t.B. No, I don’t.C. No, you don’t. ( ) 10. —What time is it?—It’s ________.A. blueB. fiveC. six yuan五、按要求完成下列各题。
Homework5
Homework5 Q:Solution:a. Let F(a,b,c)= w i y i−a(x i−b)c 2ni=1.In order to find a,b,c adapt to minimize F. We can find the derivatives of F.ðF ða =2⋅ w i y i−ax i−b−1x i−bni=1ni=1=0ðFða=-2[w i y i(x i−b)cni=1]−a[1(x i−b)2cni=1]Thus, we can get the aa=[w i y i(x i−b)c ni=1][1(x i−b)2c ni=1]ðF ðb =2[w i y i−ax i−b C−ac(x i−b)c+1ni=1] ni=1=0ðFðb =2c [a 2 x i −b 2c +1−a w i y i (x i −b )c +1]ni =1=0 [a x i −b −w i y i(x i−b )]n i =1=0 Put a into this equation, we can get[w i y i (x i −b )cn i =1][1(x i−b )2c i =1][a x i −b]n i =1− [w i y i (x i −b )]n i =1=0So we can get the nonlinear equation[w i y i (x i −b )n i =1] [a x i −b]ni =1- [1(x i −b )ni =1] [w i y i (x i −b )]ni =1=0We can also get the third equation like this[w i y i (x i −b )c n i =1] [ln (x i −b )(x i −b )2c n i =1]- [w i y i −ln (x i −b )(x i −b )2c n i =1] [1(x i−b )2c ni =1] b. For this equation and the two nonlinear equations, we can define six variables to replace these complex polynomials1、t1=0()ni i c i i w y x b =-∑, t2=201()n c i i x b =-∑, t3=2111()n c i ix b +=-∑, t4=11()ni i c i i w y x b +=-∑, t5=21ln()()n i c i i x b x b =--∑, t6=1ln()()ni i i ci i w y x b x b =--∑ So these equations can be written asa=t1/t2;0=t1*t3-t2*t4; 0=t1*t5-t2*t6;As for this problem, the Jacobi Matrix is 2X2. It’s difficult to find the derivative of these formulas in MATLAB, so we can code them up directly. For example, for t1, we use these codes:function [t1,dbt1,dct1]=fun1(b,c,x,y,w) t1=0;dbt1=0;dct1=0; n=size(x,2); for i=1:nt1=t1+w(i)*y(i)/(x(i)-b)^c;dbt1=dbt1+c*(w(i)*y(i))/(x(i)-b)^(c+1); dct1=dct1-(w(i)*y(i)*log(x(i)-b))/(x(i)-b)^c; endt1 is the equation, dbt1 is ∂f∂b , dct1 is ∂f∂c . So it’s convenient to calculate for the Jacobi Matrix. The others can be written as:function [t2,dbt2,dct2]=fun2(b,c,x) t2=0;dbt2=0;dct2=0; n=size(x,2);for i=1:nt2=t2+1/(x(i)-b)^(2*c);dbt2=dbt2+2*c/(x(i)-b)^(2*c+1);dct2=dct2-(2*log(x(i)-b))/(x(i)-b)^(2*c);endfunction [t3,dbt3,dct3]=fun3(b,c,x)t3=0;dbt3=0;dct3=0;n=size(x,2);for i=1:nt3=t3+1/(x(i)-b)^(2*c+1);dbt3=dbt3+(2*c+1)/(x(i)-b)^(2*c+2);dct3=dct3-2*log(x(i)-b)/(x(i)-b)^(2*c+1);endfunction [t4,dbt4,dct4]=fun4(b,c,x,y,w)t4=0;dbt4=0;dct4=0;n=size(x,2);for i=1:nt4=t4+(w(i)*y(i))/(x(i)-b)^(c+1);dbt4=dbt4+(c+1)*w(i)*y(i)/(x(i)-b)^(c+2);dct4=dct4-log(x(i)-b)*w(i)*y(i)/(x(i)-b)^(c+1);endfunction [t5, dbt5, dct5]=fun5(b,c,x)t5=0;dbt5=0;dct5=0;n=size(x,2);for i=1:nt5=t5+log(x(i)-b)/(x(i)-b)^(2*c);dbt5=dbt5+(2*c*log(x(i)-b)-1)/(x(i)-b)^(2*c+1);dct5=dct5-2*log(x(i)-b)^2/(x(i)-b)^(2*c);endfunction [t6, dbt6, dct6]=fun6(b,c,x, y, w)t6=0;dbt6=0;dct6=0;n=size(x,2);for i=1:nt6=t6+(log(x(i)-b)*w(i)*y(i))/(x(i)-b)^c;dbt6=dbt6+w(i)*y(i)*(c*log(x(i)-b)-1)/(x(i)-b)^(c+1); dct6=dct6-w(i)*y(i)*log(x(i)-b)^2/(x(i)-b)^c;endSo the Jacobi Matrix can be written as:J(1,1)=dbt1*t3+t1*dbt3-dbt4*t2-t4*dbt2;J(1,2)=dct1*t3+t1*dct3-dct4*t2-t4*dct2;J(2,1)=dbt1*t5+t1*dbt5-dbt6*t2-t6*dbt2;J(2,2)=dct1*t5+t1*dct5-dct6*t2-t6*dct2;AndF(1,1)=t1*t3-t4*t2;F(2,1)=t1*t5-t6*t2;So the Jacobi Matrix codes are:function [F,J]=realfun(b,c,x,y,w)F=zeros(2,1);J=zeros(2,2);[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);[t3, dbt3, dct3]=fun3(b,c, x);[t4, dbt4, dct4]=fun4(b,c,x, y,w);[t5, dbt5, dct5]=fun5(b,c,x);[t6, dbt6, dct6]=fun6(b,c,x, y, w);F(1,1)=t1*t3-t4*t2;F(2,1)=t1*t5-t6*t2;J(1,1)=dbt1*t3+t1*dbt3-dbt4*t2-t4*dbt2;J(1,2)=dct1*t3+t1*dct3-dct4*t2-t4*dct2;J(2,1)=dbt1*t5+t1*dbt5-dbt6*t2-t6*dbt2;J(2,2)=dct1*t5+t1*dct5-dct6*t2-t6*dct2;Then we can start solving our problem1 Newton’s methodfunction [a,b,c,k,accuracy]=zqhnew(x,y,b,c,N,TOL)w=log(y);k=1;while k<N[F,J]=realfun(b,c,x,y,w);h=J\(-F);b1=b+h(1,1);c1=c+h(2,1);accuracy=norm(c1-c,inf);if norm([b1-b c1-c],2)<TOLfprintf('The procedure was successful after %d iterations',k);bcaccuracy[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;returnelseb=b1; c=c1;k=k+1;endendfprintf('Method failed after %d iterations',N);end>> y=[2.4 3.8 4.75 21.60];>> x=[31.8 31.5 31.2 30.2];>> b=30;>> c=2;>> N=100;>> TOL=10^-5;>> zqhnew(x,y,b,c,N,TOL)The procedure was successful after 7 iterations b =26.7702c =8.4518accuracy =9.8830e-07ans =2.2179e+062 Quasi-Newton’s methodfunction [a,b,c,k,accuracy]=zqhquasi(x,y,b,c,N,TOL)w=log(y);k=1;[F0,J0]=realfun(b,c,x,y,w);A0=J0;X0=[b;c];X1=X0-J0\(F0);while k<Nb1=X1(1,1);c1=X1(2,1);b0=X0(1,1);c0=X0(2,1);[F1,J1]=realfun(b1,c1,x,y,w);[F0,J0]=realfun(b0,c0,x,y,w);S=X1-X0;Y=F1-F0;A1=A0+(Y-A0*S)*S'/((S(1,1))^2+(S(2,1))^2);X2=X1-A1\F1;accuracy=norm(S,2);if norm(S,2)<TOLfprintf('The procedure was successful after %d iterations',k); b=X1(1,1)c=X1(2,1)accuracy[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;returnelseX0=X1;A0=A1;X1=X2;k=k+1;endendfprintf('Method failed after %d iterations',N);end>> y=[2.4 3.8 4.75 21.60];>> x=[31.8 31.5 31.2 30.2];>> b=26;>> c=8;>> N=100;>> TOL=10^-5;>> zqhquasi(x,y,b,c,N,TOL)The procedure was successful after 23 iterationsb =25.9848c =10.1123 accuracy =6.2590e-06 ans =1.3812e+083 Method of Steep Decentfunction [a,b,c,k,g1,accuracy]=zqhsteep(x,y,b,c,N,TOL) w=log(y);k=1;while k<N[F,J]=realfun(b,c,x,y,w);g1=F(1,1)^2+F(2,1)^2;Z=2*J'*F;z0=norm(Z,2);if z0==0disp('Zero gradient');k;b;c;g1;[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;break;endZ=Z/z0;alpha1=0;alpha3=1;b1=b-alpha3*Z(1,1);c1=c-alpha3*Z(2,1);[F,J]=realfun(b1,c1,x,y,w);g3=F(1,1)^2+F(2,1)^2;while g3>=g1alpha3=alpha3/2;b3=b-alpha3*Z(1,1);c3=c-alpha3*Z(2,1);[F,J]=realfun(b3,c3,x,y,w);g3=F(1,1)^2+F(2,1)^2;if alpha3<TOL/2disp('NO likely improvement');k;b;c;g1;[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;break;endendalpha2=alpha3/2;b2=b-alpha2*Z(1,1);c2=c-alpha2*Z(2,1);[F,J]=realfun(b2,c2,x,y,w);g2=F(1,1)^2+F(2,1)^2;h1=(g2-g1)/alpha2;h2=(g3-g2)/(alpha3-alpha2);h3=(h2-h1)/alpha3;alpha0=0.5*(alpha2-h1/h3);b0=b-alpha0*Z(1,1);c0=c-alpha0*Z(2,1);[F,J]=realfun(b0,c0,x,y,w);g0=F(1,1)^2+F(2,1)^2;g=g0;bx=b0;cx=c0;accuracy=norm(g-g1);if norm(g-g1,inf)<TOLfprintf('The procedure was successful after %d iterations',k);b=bxc=cxaccuracy[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;break;endb=bx;c=cx;k=k+1;end>> y=[2.4 3.8 4.75 21.60];x=[31.8 31.5 31.2 30.2];b=30;c=2;N=100;TOL=10^-5;>> zqhsteep(x,y,b,c,N,TOL)The procedure was successful after 5 iterationsb =27.0259c =3.8817accuracy =6.3440e-08 ans =5.0855e+034 Broyden Methodfunction [a,b,c,k,accuracy]=zqhbro(x,y,b,c,N,TOL)w=log(y);k=2;[F0,J0]=realfun(b,c,x,y,w);A0=J0;V=F0;A=inv(A0);s=-A*V;b1=b+s(1,1);c1=c+s(2,1);while k<NQ=V;[F1,J1]=realfun(b1,c1,x,y,w);V=F1;P=V-Q;z=-A*P;p=-s'*z;u=s'*A;A=A+1/p*(s+z)*u;s=-A*V;b2=b1+s(1,1);c2=c1+s(2,1);accuracy=norm(c2-c1,inf);if norm([b2-b1 c2-c1],2)<TOLfprintf('The procedure was successful after %d iterations',k); b=b1c=c1accuracy[t1, dbt1, dct1]=fun1(b,c,x, y,w);[t2, dbt2, dct2]=fun2(b,c, x);a=t1/t2;returnelseb1=b2; c1=c2;k=k+1;endendfprintf('Method failed after %d iterations',N);end>> y=[2.4 3.8 4.75 21.60];x=[31.8 31.5 31.2 30.2];b=30;c=2;N=100;TOL=10^-5;zqhbro(x,y,b,c,N,TOL)The procedure was successful after 11 iterations b =25.9848c =10.1123accuracy =6.2579e-06ans =1.3812e+085MATLAB Built-in Functions(1) fminuncfunction zqhmm2ini_BC=[30;2];options=optimset('Display','iter','Tolfun',10^-7);[opt_BC]=fminunc(@f,ini_BC,options)function [fmin]=f(BC)x=[31.8 31.5 31.2 30.2];y=[2.4 3.8 4.75 21.60];w=log(y);[t1, t1db, t1dc]=fun1(BC(1,1),BC(2,1),x, y,w);[t2, t2db, t2dc]=fun2(BC(1,1),BC(2,1), x);a=t1/t2;fmin=0;for i=1:4fmin=fmin+(w(i)*y(i)-a/(x(i)-BC(1,1))^BC(2,1))^2;end>> zqhmm2警告: Gradient must be provided for trust-region algorithm;using line-search algorithm instead.> In fminunc at 382In zqhmm2 at 4First-order Iteration Func-count f(x) Step-size optimality0 3 959.142 7741 6 87.3578 0.0012913 2902 9 18.1283 1 1063 12 2.7427 1 35.94 15 1.44396 1 13.45 18 1.24402 1 0.8796 21 1.24319 1 0.3327 24 1.24292 1 0.3988 27 1.24066 1 0.7659 30 1.23626 1 1.6510 33 1.22349 1 3.1511 36 1.19264 1 4.9312 39 1.11908 1 6.2413 42 0.989803 1 5.5214 45 0.877007 1 3.6415 48 0.820879 1 2.2516 51 0.796293 1 1.3517 54 0.787799 1 0.81918 57 0.78564 1 0.53719 60 0.7851 1 0.403First-order Iteration Func-count f(x) Step-size optimality20 63 0.78467 1 0.321 66 0.783874 1 0.13822 69 0.78291 1 0.039423 72 0.782308 1 0.11124 75 0.782129 1 0.042125 78 0.782114 1 0.00099326 81 0.782114 1 4.51e-06 Local minimum found.Optimization completed because the size of the gradient is less thanthe selected value of the function tolerance.<stopping criteria details>opt_BC =26.76988.4526(2)fminsearchfunction zqhmmini_BC=[30;2];options=optimset('Display','iter','Tolfun',10^-7);[opt_BC]=fminsearch(@f,ini_BC,options)function [fmin]=f(BC)x=[31.8 31.5 31.2 30.2];y=[2.4 3.8 4.75 21.60];w=log(y);[t1, t1db, t1dc]=fun1(BC(1,1),BC(2,1),x, y,w);[t2, t2db, t2dc]=fun2(BC(1,1),BC(2,1), x);a=t1/t2;fmin=0;for i=1:4fmin=fmin+(w(i)*y(i)-a/(x(i)-BC(1,1))^BC(2,1))^2;end>> zqhmmIteration Func-count min f(x) Procedure0 1 959.1421 3 75.9237 initial simplex2 5 52.7606 reflect3 7 52.7606 contract inside4 8 52.7606 reflect5 10 15.4821 contract inside6 12 7.21226 contract inside7 14 7.21226 contract outside8 16 2.54277 contract inside9 17 2.54277 reflect10 19 2.54277 contract inside11 21 2.3962 contract inside12 23 2.21803 contract inside13 24 2.21803 reflect14 26 2.20942 contract inside15 28 2.19528 contract inside16 30 2.19326 reflect17 32 2.17331 reflect18 33 2.17331 reflect19 35 2.15207 reflect20 37 2.15207 contract inside21 39 2.1336 expand22 41 2.09239 expand23 42 2.09239 reflect24 44 2.00384 expand25 45 2.00384 reflect26 47 1.92683 expand27 49 1.78149 expand28 51 1.66771 expand29 53 1.38399 expand30 54 1.38399 reflect31 56 1.16901 expand32 58 1.00934 expand33 60 0.966224 reflect34 62 0.845423 expand35 64 0.82419 reflect36 66 0.806987 reflect37 68 0.792371 reflect38 69 0.792371 reflect39 71 0.79232 reflect40 73 0.783986 contract inside41 75 0.783986 contract inside42 76 0.783986 reflect43 78 0.782529 contract inside44 80 0.782529 contract inside45 81 0.782529 reflect46 83 0.782153 contract inside47 85 0.782153 contract inside48 87 0.782153 contract inside49 89 0.782138 contract inside50 91 0.782137 contract inside51 93 0.782116 contract inside52 95 0.782116 contract inside53 96 0.782116 reflect54 98 0.782115 contract inside55 100 0.782115 contract inside56 102 0.782114 contract inside57 104 0.782114 contract inside58 106 0.782114 contract inside59 107 0.782114 reflect60 109 0.782114 contract inside61 111 0.782114 contract inside62 113 0.782114 contract inside63 115 0.782114 contract inside64 117 0.782114 contract inside65 118 0.782114 reflect66 120 0.782114 contract inside67 122 0.782114 contract inside68 124 0.782114 contract inside69 125 0.782114 reflect70 127 0.782114 contract inside71 129 0.782114 contract outside72 131 0.782114 contract inside优化已终止:当前的x 满足使用1.000000e-04 的OPTIONS.TolX 的终止条件,F(X) 满足使用1.000000e-07 的OPTIONS.TolFun 的收敛条件opt_BC =26.77028.4519SummaryWe can use this equation to calculate for the rate of convergence:C=ln e k+1e k /ln e ke k−1.The codes are:[m,n]=size(t);for i=1:n-1E(i) =norm(t(i)-t(n), inf);endfor j=1:n-3ratew(j)=log(E(j+2)/E(j+1))/log(E(j+1)/E(j)); endS o we can conclude that the functions in MATLAB are the more stable among these methods, they always can get the answers. The Broyden can also get answer but sometimes the results seem not accurate. Other methods require accurate initial guess. Newton’s and Quasi-Newton’s converge fast if they’re converge, but require accurate initial guess.Steepest descent method usually converge and converge fast.Broyden method also calls for an accurate initial guess.So I think for some unknown conditions, especially for my major, the Geophysics, has many nonlinear problems just like the inversion. So we must learn to how to cope with the numerous data, and select the best way to process these data.。
闽教版英语五年级上册全册配套教案设计
Unit 8 My Friends Part B 教案教学目标1.学习单词:classmate,understand,know,see。
2.学习句型:Do you have…? 教学目标Yes, I/we do. No,I/we don’t.3.学说韵律诗:A Book Is a Friend.4.功能:介绍朋友。
教学重点教学难点能用所学的语言询问他人拥有的物品。
用所学的语言询问他人拥有的物品。
教学过程Step 1 Warming up1.师生互致问候。
2.师生自由对话。
教师出示课本第57 页的第一幅图,与学生问答对话。
如:Who’s he? What is he doing? Does he have friends at school? Where is Sally from? Does he have friends in the school library? Who are they?3.通过最后一个问题,引出课文韵律诗的题目:A Book Is a Friend.教师播放录音,全班学生一起跟着录音学说韵律诗。
教师板书句子:A book is a good friend.4.揭示课题并板书:Unit 8 My Friends Part B。
Step 2 Presentation(一)课文导入。
1.教师边说边出示下列问题:Peter is new at school.But he has many good friends.Who are they? A. Books in the library.B. Toys at home.C. Animals in the zoo.D. His classmates.2.解决所出示问题中的疑难点。
(1)教师指着第一句话说:“Peter is new at school.Why?”请学生翻开课本第2 页,找到That’s Peter. He’s a new pupil.这两句话,通过这两句话来理解Peter is new at school.并读一读。
五年级英语试题大全
五年级英语试题答案及解析1.用所给词的适当形式填空。
(1)Where ________ (be)you yesterday?(2)We ________(do not)visit a friend yesterday.(3)Who was ________ (one)in the race?(4)When is ________(you)birthday?(5)Tom is_____(tall) than Jim .【答案】(1)were(2)didn’t(3)first(4)your(5)taller2.()I _______yesterday.A. boughtB. buyC. buys【答案】A3. ( ) _____ is clever !A. IB. YouC. He【答案】C4. ( ) I ________ go to the cinema with my mother.A. some timesB. sometimesC. sometime【答案】B5. ( ) Liu Tao is good at ________.A. swimB. swimsC. swimming【答案】C6. ( ) --- What_____ in the school?--- __________ two table tennis rooms in the school.A. is, It’sB. are, There’sC. is, There’re【答案】C【解析】what’s +介词意为询问在什么地方有什么,two table tennis rooms是复数,there be要用there are.7.选出不同类的一项。
( ) (1)A. first B.second C. three( ) (2)A. classroom B.play C. playground( ) (3)A. heavy B. high C. school( ) (4)A. on B.in C. me( ) (5)A.floor B. push C. swing【答案】(1)C(2) B (3)C (4)C (5)B8.()We ____no fear.A. hasB. havingC. have【答案】C9.()Look at the man ____the picture.A.inB. forC. of【答案】C10. ( )Is ______Kate?A.theseB. thoseC. that【答案】C11.()She must ____off the grass.A. keepB. keepingC. keeps【答案】A12.()Peter is a good student ____school.A. inB. onC. at【答案】C13.读一读,将下列单词按画线部分的读音分类。
人教精通版英语五上 unit 5单元教学设计
Is this your schoolbag?
2)Revise some old words and then play a game.
3)Let’s sing the old song.
Step 2 Knowledge
1)Teach the new words: fish hen goose
过
程
Step 4 Applications
1)Ask the pupils to make up dialogues in pairs by using the sentence patterns.
2)Revise some old words and then play a game.
3)Let’s sing the old song.
Step 2 Knowledge
1)Teach the new words: schoolbag activity book dictionary
2) Teach the new sentences: Is this your schoolbag? Yes,it is./No,it isn′t.
教学难点
What a big zoo!made
课型
新授课
教学媒体
Cards、recorder
教学方法
讲解、小组合作
教
学
过
程
Step 1 Revision
1)Greetings:Ask and answer.
2)Let’s sing a song. Where are you from?
Step 2 Knowledge
Step 4 Applications
新版闽教版小学英语五年级下册全册教案
新版闽教版小学英语五年级下册全册教案年级:五年级学科:英语3.学习句子:Were you in China?No,I wasn’t.(1)学习在一般过去时中,be动词的一般疑问句形式。
(2)出示一些句子,请学生读一读,如:Were they in the supermarket?Yes,they were./ No,they weren’t.Was he in Beijing?Yes,he was./ No,he wasn’t.4.学习句子:How was the weather there? It was hot.It was summer there.(1)请学生读一读句子。
(2)教师提出问题:“It was hot.It was summer there.Why?”学生根据已有的知识来说一说。
教师总结:“因为南半球和北半球的缘故,一月和二月中国是冬天,而澳大利亚是夏天。
”5.教师再播放课文录音或CD-ROM二至三次,学生模仿跟读。
6.请学生分角色读对话。
(四)巩固活动1.学习课本第3页的Ask and answer.部分。
(1)教师播放录音,学生模仿跟读。
(2)同桌根据图片内容练习对话。
(3)请几位学生展示对话。
2.学习课本第7页的韵律诗:How Was Your Vacation?(1)教师领读,学习韵律诗中的句子。
(2)请一两位学生读一读。
(3)教师播放录音,学生跟读。
(五)语音教学1.教师出示单词skate和lake,请学生读一读,然后说出单词中字母a的发音/e I/ 。
2.教师再出示单词bag,math和grass,glasses,请学生读一读,然后说出单词中a的发音// 和/ɑ:/。
3.教师播放课本第3页的Listen and learn the English sounds.部分的录音,学生模仿跟读,记住字母a的三种发音/eI/,//和/ɑ:/4.游戏——找朋友。
游戏规则:教师将单词卡片can,after,page,hand,father和grape发给六个学生,然后教师随机说一个单词,如:hand,持有hand卡片的学生就要就要上台,举着卡片说:“//,//,/h nd/.Who’s my friend?”持有can卡片的学生就要起立说:“//,//,/k n/.I m your friend.”以此类推。
五上单元作业设计英语
五上单元作业设计英语Unit 5 Homework DesignPart 1: Vocabulary1. Match the words with their definitions:1. confident ( ) A. to choose something from among a group of options2. unique ( ) B. a feeling of self-assurance3. select ( ) C. different from everything else4. motivate ( ) D. to encourage someone to do something5. support ( ) E. to help or assist someone2. Fill in the blanks with the appropriate word from the list:1. I always feel ___________ when I know I have my friends by my side.2. The painting was so ___________ that it caught everyone's attention.3. She decided to ___________ the red shirt over the blue one.4. His words were very ___________ and inspired everyone in the room.5. We should always ___________ our friends in whatever they choose to do.Read the passage below and answer the following questions:Growing up, I always admired my grandmother for being a strong and independent woman. She had a unique way of carrying herself, always confident in her decisions and never afraid to speak her mind. She taught me the importance of standing up for myself and never letting anyone belittle me.1. What qualities did the author admire in their grandmother?2. How did the grandmother motivate the author?3. What impact did the grandmother's support have on the author's life?Part 3: WritingWrite a short paragraph (100-150 words) about a person who has had a significant impact on your life. Describe their qualities and how they have influenced you.Part 4: SpeakingPractice answering the following questions aloud with a partner:1. Who is someone you admire and why?2. How do you stay motivated to pursue your goals?Part 5: Bonus ActivityCreate a poster or infographic that highlights the importance of confidence, uniqueness, motivation, and support in achieving success. Include examples and quotes to inspire others to believe in themselves and pursue their dreams. Present your poster to the class and explain the message behind it.。