以下是小编帮大家整理的人教版八年级英语下册复习教案（共含12篇），欢迎大家分享。同时，但愿您也能像本文投稿人“susanwendy”一样，积极向本站投稿分享好文章。
单元教学目标：
1、Words&phrases: robot, paper, less, fewer, simple, unpleasant, factory, seem, etc .
2、will 构成的一般将来时态的陈述句、否定句、疑问句及回答.
3、There be 句型的一般将来时. 4、more , less , fewer 的用法.
5、学习一般将来时态的相关知识，学会对未来进行预测.
单元重难点：
1、will 构成一般将来时态的句式。2、There be 句型的一般将来时态。
3、more , fewer , less 的用法。4、How to make predictions .
第一课时
教学步骤：
Step 1 Leading in(导入话题，激活背景知识)(导入话题，激活背景知识)
1.Greetings: Welcome to school .
What’s the date today ? Who’s on duty today ?
Do you enjoy your winter holiday ?(你喜欢你的寒假吗?)
Do you finish your Homework(家庭作业) (你完成你的假期作业了吗?)
Do you want to live on the moon ?(你想去月球吗?)
Can you guess what will happen in ten years ?(你能猜出十年后将会发生什么吗?)
Collect the Ss’ answers and say something about their predictions .
Step 2 Pre-task(任务前活动)
SB Page 2 ,1a .
1.Look at the picture :How will the world be different in the future ,100 years from now ?We’re going to talk about sth in 100 years .
2.Read each predictions to the class .Explain the new vocabulary .
3.Read the instructions .Make sure Ss know what they should do .
4.Do it by themselves .
5.Talk about the answers with the class .
Explain :一般将来时态
构成: will / be going to +动词原形=
Step 3 While-task(任务中活动)
SB Page 2 ,1b .
1.Practise reading the six predictions .
2.Read the instructions to Ss .Circle the things you hear on the recording .
3.Play the tape twice .(放录音，两次)
4.Play the tape a third time .At the same time ,check the answers .
SB Page 2 , 1c .
1、Pay attention to the dialogues .
2、Read the dialogues fluently .
3、Pairwork .Work in pairs to make predictions according to the sample .
4、Ask several pairs to share their conversations to the class .
SB Page 3 , 2a & 2b .
1、Read the predictions .
2、Read the instructions and point out the sample answer .
3、Play the tape twice .Ss circle the word they hear in each sentences: more , less , fewer .
4、Check the answers .
学生探究: less , fewer 的区别。
Step 4 Post-task(任务后活动)
1、Point to the example in the sample dialogue .Practice reading .
2、Look at activity 2b .Groupwork:Take turns to make conversations about the predictions .
Grammar Focus:
1.、Review the grammar box .Ss say the statements and responses .
2、Make summaries about “will” ,“fewer” and “less” .
Homework(家庭作业)(家庭作业)：
1、Make predictions about yourself in 10 years .Write down 5 sentences .
2、Go over the new words .
教学后记:
第二课时
Teaching procedures(教学步骤) :
Step 1 Leading in(导入话题，激活背景知识) (导入)
1.Greetings and free talk .
2.Check their Homework(家庭作业) :Ask two or three Ss to speak out what they wrote down .(教师作出适当的评价)
Step 2 Pre-task(任务前活动)
1.Go over what we learnt yesterday .(复习昨天所学的知识)
2.通过三种时间的对比简略复习一般过去时与一般现在时。
Step 3 While-task(任务中活动)
SB Page 4 , 3a .
1.Point to the three picture and say :This is Sally .The first picture is Sally five years ago ,the second one is Sally now ,and the third one is Sally five years in the future .
2.Read the instructions .
3.Complete filling in the blanks individually .
4.Check the answers .
5.Practise reading .Then ask some Ss read them out .
SB Page 4 , 3b .
1. Look at activity 3a .Make predictions about Sally .
2. Point to the example in the sample dialogue .Ask two Ss to read the dialogue to the class .
3. Practise reading .
4. Pairwork .Make their predictions about Sally .
Step 4 Post-task(任务后活动)
1. Write about yourself .
With the help of the sample of Sally .We can write sth about ourselves five years ago ,today and in five years .
2. Complete the work individually .
3. Review the task .Ask a few more Ss for answers .
Homework(家庭作业) :
Draw a picture of the city in 20 years .Describe it to the class .
教学后记:
第三课时
Teaching procedures(教学步骤) :
Step 1 Leading in(导入话题，激活背景知识)
1. Greetings .
2. Say yourselves :five years ago , today and in five years .
3. Check the Homework(家庭作业).
Step 2 Pre-task(任务前活动)
SB Page 5 , 1a .
1. Look at the form and read the headings to the class .Make sure the Ss know what they mean .
2. Read the list of seven words .Explain the new words .
3. Write each word in the correct column .Check the answers.
SB Page 5 , 1b .
1. Read the words already written on the chart .
2. Groupwork: Think about what we learned before .Write some words in the chart above .Divide the class into groups of four ,let them have a competition .
Step 3 While-task(任务中活动)
SB Page 5 , 2a .
1. Look at the pictures carefully .Can you guess what we’ll listen ?Talk about them .
2. Read the instructions .We’ll listen to 3 conversations .Number the pictures 1-3 .
3. Play the tape twice .Check the answers .
SB Page 5 , 2b .
This activity is easy ,I think .For we know the conversations are talking about Alexis 10 years ago ,today and in 10 years .
1.Read the instructions .
2. Pay attention to the sentences and the verbs in the box .
3.Play the tape and correct the answers .
Step 4 Post-task(任务后活动)
1. Read the instructions .
2. Pairwork. One is Alexis, one is Joe .
3. Point out the example in the sample dialogue .Read it to the Ss .
4. Talk about Joe’s life now , ten years ago and in ten years .
5. Ask some pairs of Ss to say their dialogues .
Homework(家庭作业):
1. Go over the words .
2. 写一篇50 个单词左右的小短文，预测与展望未来我们的学习和生活。
教学后记:
Unit One This Is My Day
基本词汇：
Activities（活动） | Time（时间） | 频率词 |
get up 起床 do morning exercises 晨练 have English class 上英语课 play sports 进行体育活动 play the piano 弹钢琴 climb mountains 爬山 go shopping 购物 go hiking 去远足 visit grandparents 看望外/祖父母 eat breakfast 吃早饭 eat dinner 吃晚饭 | morning 早上 in the afternoon 下午 evening 晚上 noon 中午 at night 夜晚 6:00 具体时间 on Sunday 在星期天 when 什么时候 | ways 总是 usually 通常 often 经常 sometimes 有时 seldom 很少 never 从不 （频率程度依 |
1. 询问生活规律：
---- When do you ……? 你什么时候……?
---- I usually… at … Sometimes I….我通常在…(点钟)…(做什么事)。有时…
E.g. --- When do you go to school ? 你每天几点去上学?
--- I usually go to school at 7:00. Sometimes I go to school at 7:10.
2. 询问生活习惯：
--- What do you do on the weekend? 你周末做什么?
--- I usually / often ….. Sometimes I …..
E.g. --- What do you do on the week?
--- I often play football. Sometimes I go shopping with my mom.
3. 介绍自己的生活习惯：
Every weekend I go hiking. 我每个周末远足。
Every day I do my homework at 8:00 in the evening. 我每天晚上8点做作业。
4. 询问职业：
--- What do you do? 你是干什么的?
--- I am a doctor / nurse / policeman….
5. Thank you for telling me about your day! 谢谢你告诉我你的一天。
6. Let’s …. 让我们….( let’s = let us )
Let’s go hiking together next Sunday. 下周我们一起去远足吧。
句型转换：
1.肯定句↔一般疑问句：I usually get up at 6:00. ↔ Do you usually get up at 6:00?
肯定回答：Yes, I do. 否定回答：No, I don’t.
(第三人称时) He eats dinner at 6:00p.m. ↔ Does he eat dinner at 6:00p.m.?
2.肯定句↔否定句：I like playing the piano. ↔ I don’t like playing the piano.
I can play the piano. ↔ I can’t play the piano.
3.划线提问：
⑴ I often go shopping on the weekend. → When do you go shopping ?
⑵ I often go shopping on the weekend. → What do you do on the weekend?
⑶ I am a student. → What do you do?
⑷ I go to school at 7:00. → When do you go to school?
知识延伸：
⑴同义词：play sports = do sports
eat breakfast/ lunch/ dinner = have breakfast/ lunch/ dinner
⑵同义句： What do you do? = What are you? 你是干什么的?
⑶一般将来时：(be going to)
The weather report says it is going to rain tomorrow. 天气预报说明天将要下雨。
1. look at 看一看
2. over there 在那边
3. in English 用英语
4. excuse me 打扰了
5. in the pond 在池塘里
6. play with 和… 一起玩
7. of course 当然
8. swim well 游泳好
9. pet shop 宠物店
10. a lot of 很多
11. jump through a ring 越过圆环
12. ride a horse 骑马
13. ride a bike 骑自行车
14. climb up a ladder 爬梯子
15. come here 过来
16. come along 过来
17. come with me 跟我来
18. show… around 带…参观
19. this way 这边走
20. borrow … from 从…借
21. borrow books 借书
22. read stories 读故事
23. make things 制作东西
24. speak English 说英语
25. draw pictures 画画
26. have art classes 上美术课
27. dance room 舞蹈教室
28. how often 多久一次
29. science lab 科学实验室
30. language lab 语音室
31. how many 多少
32. other activities 其他活动
33. do experiments 做实验
34. do listening 练听力
35. observe things 观察事物
36. do speaking 练口语
37. New Year’s Day 元旦
38. meeting hall 会议大厅
39. Children’s Day 儿童节
40. be good at 擅长
41. be interested in 对…感兴趣
42. music club 音乐俱乐部
43. no one 没有人
44.play the violin 拉小提琴
45. art club 美术俱乐部
46. come into 进入
47.listen to music 听音乐
48. cut out 剪下
49. come from 来自
50. up and down 上上下下
五. 完形填空
Mr. King worked in a factory. He was tall and 1 . He liked playing basketball. He spent a lot of 2 on it and sometimes he was late for the work. It made his boss 3 and one day the young man 4 . He tried to find another piece of work, but he 5 . Several months later he got into trouble and lived a 6 life.
Once he met with his friend in the street. The man felt 7 for him and introduced him to his brother who was a 8 of a spare time physical cultural school. It was just in great need of some swimming coaches and he began to 9 the children to swim there. He wasn't a good worker and he wasn't a good coach, either. Two months later the children 10 nothing. Few of them could swim in the 11 river.
It was Saturday and the weather was very 12 . The children wouldn't stay in the classroom and they hoped to swim in the river. Mr. King found it was difficult to 13 them. He had to agree with them. Before they started, he drew a line 14 the knee of each child with a red pen. He said to them，“Come out of the river at once if the water 15 the line!”
( ) 1. A. weak B. strong
C. fat D. ill
( ) 2. A. time B. hope
C. money D. sound
( ) 3. A. pleased B. sad
C. angry D. friendly
( ) 4. A. used B. was used
C. sent off D. was sent off
( ) 5. A. cried B. shouted
C. failed D. laughed
( ) 6. A. busy B. useful
C. light D. hard
( ) 7. A. sorry B. safe
C. dangerous D. surprised
( ) 8. A. worker B. headmaster
C. driver D. nurse
( ) 9. A. show B. teach
C. tell D. ask
( ) 10. A. did B. saw
C. heard D. learned
( ) 11. A. deep B. wide
C. narrow D. low
( ) 12. A. cool B. warm
C. hot D. cold
( ) 13. A. save B. leave
C. hurt D. stop
( ) 14. A. below B. in
C. over D. between
( ) 15. A. washes B. reaches
C. touches D. took
六. 阅读理解
A
A young man who did not have much money was coming home by train one day. He gave his last few coins to a beggar(乞丐), but then he saw another one, and forgot that he didn’t have any money about him. He asked the beggar if he’d like to have lunch with him, and the beggar agreed. So they went into a small restaurant and had a good meal. At the end the man could not pay the bill. Of course the beggar had to do so.
The young man was very sorry about this, so he said to the beggar, “Come home with me in a taxi, my friend, and I’ll give you back the money for lunch.” “Oh, no!” the beggar answered quickly. “I had to pay for your taxi too!”
( ) 1. From the passage we can guess that “coin” is a kind of____.
A. food B. money
C. drink D. ticket
( ) 2. That day the young man had his lunch____.
A. in his friend’s house B. in the train
C. in a restaurant D. in his own house
( ) 3. The young man asked the second beggar to a meal because ____.
A. he had no money to pay for the taxi
B. he didn’t want to pay for the taxi
C. he wanted to help the beggar.
D. he didn’t want to get back the money for lunch
( ) 4. The beggar didn’t want to go to the man's home by taxi because____.
A. he had no money to pay for the taxi
B. he didn’t want to pay for the taxi
C. he didn’t want to give the man any trouble
D. he didn’t want to get back the money for lunch
( ) 5. What kind of person would you say the young man was?
A. He was not rich but kind.
B. He was neither rich nor kind.
C. He was rich but not kind.
D. He was rich and very kind.
B
Aeroplanes(飞机) are slowly driving me mad. I live near an airport and passing planes can be heard night and day. The airport was built years ago, but for some reason it could not be used then. Last year, however, it came into use. Over a hundred people must have been driven away from their homes by the noise. I am one of the few people left(剩下的). Sometimes I think this house will be knocked down by a passing plane. I have been offered(提供) a large sum of money to go away, but I am determined(下定决心的) to stay here. Everybody says I must be mad and they are probably right.
1. Where does the writer live?
________________________________________________________________
2. Are the aeroplanes noisy or quiet?
________________________________________________________________
3. How many people left their homes because of the noise?
________________________________________________________________
4. What is he determined to do?
________________________________________________________________
5. What does everybody say about him?
________________________________________________________________
七. 根据汉语提示完成英语句子
1.如果我在这儿吸烟你介意吗?
______________________________ my smoking here?
2.你毕业之后计划干什么?
What will you plan to do after ________________________school?
3.你应当尽自己的最大努力记住这些新单词。
You must try your best to _______ all the new words_________.
4.这儿有一封感谢信是给你的。
Here is a______________________________ for you.
5. 老师叫我们不要在课堂上玩游戏。
The teacher _______ us _____ play computer games _____ class.
八. 书面表达
在你成长过程中，家人(父母、祖父母等)倾注了大量的心血，他们对你的生活和学习除了给关心、帮助外， 也会提出一些建议。
A)根据你的情况, 列举五点家人给予你的关心、帮助或建议，用简短的文字分别填入空白处。
1. ______________________________
2. _______________________________
3. ______________________________
4. _______________________________
5. ______________________________
B)请根据上面你所答的内容，选择一点或几点，写一篇短文，向你的好友谈谈你的家人给予你的关心、帮助或建议以及你的想法。
参考词汇：be strict with(对某人要求严格);allow sb. to do sth.(允许某人做某事)
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
一. 词汇考查
A.用所给单词的适当形式填空。
1.—Lucy, would you mind__________ (go) shopping with me? —Certainly not.
2. You must do more eye exercises____________ (keep) your eyes good.
3. This girl got____________ (interest) in music when she was five years old.
4. My cousin does____________ (good) in playing basketball.
5. I have finished____________ (do) my homework. Have you finished yours?
B.根据首字母完成单词。
1. This supermarket is very c______, let’s go to another one.
2. Tom is badly hurt. He walks a____________ the street slowly.3. Everyone knows the d________ between these two schools.
4. I really want to know why your mother gets so a_______.
5. His father works in a barber shop, he works as a hair s__.
二. 用所给动词的正确形式填空
1. Lily’s parents think it is not easy for her_____ (move) such a heavy box.
2. Tim chose the big house___________ (live) in.
3. They_________ (see) the film Titanic. They________ (say) they liked it very much.
4. If you don’t hurry up, you ___________ (be) late for school.5. My brother always______ (try) his best to do everything, he is a hard-working boy.
6. I__________ (have) my lunch, I________ (have) it just now.
7. __________ (speak) English as often as possible is a good way to learn English
8. How about__(go) swimming with our classmates, Lucy?
三. 句型转换
1. This boy has visited the Great Wall already. (变为一般疑问句)
______this boy visited the Great Wall_________?
2. Tom is so young that he can’t go to school. (同义句)
Tom isn’t ________________________________ go to school.
3. David can’t go to the meeting, so I will go instead.(同义句)
I will go to the meeting____________________________ David.
4. I won’t buy the car because it’s too expensive. (同义句)
I will buy the car ____________ it doesn’t too much.5. The child is too young to put on clothes himself. (同义句)
difficult for the child to himself.
四. 单项选择
( ) 1. ______ elephant is bigger than______ sheep.
A. An, a B. A, /
C. An, / D. /, /
( ) 2. He teaches us______ English well.
A. how to speak B. what to speak
C. when to speak D. how can speak
( ) 3. He likes playing______ piano and sometimes he likes to play _______ basketball, too.
A. the, the B. /, /
C. /, the D. the, /
( ) 4. Can you do the work______ another way?
A. in B. on
C. by D. with
( ) 5. All of us found______ difficult for us to work out the math problem and it was very nice______ him to help us.
A. it’s, of B. it, for
C. its, for D. it, of
( ) 6.—Do you have enough men to carry these chairs?
—No, I think we need______ men.
A. another two B. two others
C. more two D. two
( ) 7. The light in the room wasn’t ______ for me______.
A. enough brightly; reading
B. brightly enough; to read
C. enough brightly ; reading
D. bright enough; to read
( ) 8. What do people ______ this kind of plants?
A. say B. tell
C. speak D. call
( ) 9.—Mum, I’ve finished my composition. Would you like me to read it to you.
—Please do.______.
A. Let’s see it
B. How good the story is
C. It’s quite good
D. I’m sure we’ll enjoy it
( ) 10.—Do you always spend much time_____your homework?
—No, but I spent half an hour______ the physics problem yesterday evening.
A. doing, in B. on, do
C. doing, on D. do, on
( ) 11. There are so many beautiful presents in the shop that I don’t know______.
A. which one to choose
B. to choose which one
C. which to choose one
D. to choose one which
( ) 12.—__ have you been in this school? —For five years.
A. How often B. How long
C. How soon D. When
( ) 13. All of his teachers are friendly____ him and it is quite good ____his study.
A. to, at B. to, for
C. for, to D. for, for
( ) 14. The bad news made everyone____ .
A. worriedly B. felt worried
C. feel worry D. worried
( ) 15.Lin Tao, where____ are you going?
A. other place B. other things
C. another D. else
19.2.1 矩形(一)
一、教学目标：
1.掌握矩形的概念和性质，理解矩形与平行四边形的区别与联系.
2.会初步运用矩形的概念和性质来解决有关问题.
3.渗透运动联系、从量变到质变的观点.
二、重点、难点
1.重点：矩形的性质.
2.难点：矩形的性质的灵活应用.
3.难点的突破方法：
1.矩形是在平行四边形的前提下定义的.从定义出发，首先应该肯定，矩形是平行四边形，但它是特殊的平行四边形特殊之处就是有一个角是直角.因此在教学在我们采用运动方式探索矩形的概念及性质，如用多媒体或教具演示，从平行四边形到矩形的演变过程，得到矩形的概念，并理解矩形与平行四边形的关系.
2.通过教学还要使学生明确：(1)矩形是特殊的平行四边形，(2)矩形只比平行四边形多一个条件：“有一个角是直角”，不能用“四个角都是直角的行四边形是矩形”来定义矩形;(3)矩形是特殊的平行四边形，具有平行四边形的一切性质(共性)，还具有它自己特殊的性质(个性).
3.从边、角、对角线方面(可继续演示教具)，让学生观察或度量猜想矩形的特殊性质.
(1)边：对边与平行四边形性质相同，邻边互相垂直(与性质1等价);
(2)角：四个角是直角(性质1);
(3)对角钱：相等且互相平分(性质2).
4.引导学生利用矩形与平行四边形的从属关系、矩形的概念以及全等三角形的知识，规范证明两条性质及推论.并指出：推论叙述了直角三角形中线段的倍分关系，是直角三角形很重要的一条性质，在求线段长或求线段倍分关系时，常用到这个结论.
5.矩形ABCD的两条对角线AC，BD把矩形分成四个等腰三角形，即△AOB，△BOC，△COD和△DOA.让学生证明后熟记这个结论，以便在复杂图形中尽快找到解题的思路.
三、例题的意图分析
例1是教材P104的例1，它是矩形性质的直接运用，它除了用以巩固所学的矩形性质外，对计算题的格式也起了一个示范作用.例2与例3都是补充的题目，其中通过例2的讲解是想让学生了解：(1)因为矩形四个角都是直角，因此矩形中的计算经常要用到直角三角形的性质，而利用方程的思想，解决直角三角形中的计算，这是几何计算题中常用的方法;(2)“直角三角形斜边上的高”是一个基本图形，利用面积公式，可得到两直角边、斜边及斜边上的高的一个基本关系式.并能通过例2、例3的讲解使学生掌握解决有关矩形方面的一些计算题目与证明题的方法.
四、课堂引入
1.展示生活中一些平行四边形的实际应用图片(推拉门，活动衣架，篱笆、井架等)，想一想：这里面应用了平行四边形的什么性质?
2.思考：拿一个活动的平行四边形教具，轻轻拉动一个点，观察不管怎么拉，它还是一个平行四边形吗?为什么?(动画演示拉动过程如图)
3.再次演示平行四边形的移动过程，当移动到一个角是直角时停止，让学生观察这是什么图形?(小学学过的长方形)引出本课题及矩形定义.
矩形定义：有一个角是直角的平行四边形叫做矩形(通常也叫长方形).
矩形是我们最常见的图形之一，例如书桌面、教科书的封面等都有矩形形象.
【探究】在一个平行四边形活动框架上，用两根橡皮筋分别套在相对的两个顶点上(作出对角线)，拉动一对不相邻的顶点，改变平行四边形的形状.
① 随着∠α的变化，两条对角线的长度分别是怎样变化的?
② 当∠α是直角时，平行四边形变成矩形，此时它的其他内角是什么样的角?它的两条对角线的长度有什么关系?
操作，思考、交流、归纳后得到矩形的性质.
矩形性质1 矩形的四个角都是直角.
矩形性质2 矩形的对角线相等.
如图，在矩形ABCD中，AC、BD相交于点O，由性质2有AO=BO=CO=DO= AC= BD.因此可以得到直角三角形的一个性质：直角三角形斜边上的中线等于斜边的一半.
五、例习题分析
例1 (教材P104例1)已知：如图，矩形ABCD的两条对角线相交于点O，∠AOB=60°，AB=4cm，求矩形对角线的长.
分析：因为矩形是特殊的平行四边形，所以它具有对角线相等且互相平分的特殊性质，根据矩形的这个特性和已知，可得△OAB是等边三角形，因此对角线的长度可求.
解：∵ 四边形ABCD是矩形，
∴ AC与BD相等且互相平分.
∴ OA=OB.
又 ∠AOB=60°，
∴ △OAB是等边三角形.
∴ 矩形的对角线长AC=BD = 2OA=2×4=8(cm).
例2(补充)已知：如图 ，矩形 ABCD，AB长8 cm ，对角线比AD边长4 cm.求AD的长及点A到BD的距离AE的长.
分析：(1)因为矩形四个角都是直角，因此矩形中的计算经常要用到直角三角形的性质，而此题利用方程的思想，解决直角三角形中的计算，这是几何计算题中常用的方法.
略解：设AD=xcm，则对角线长(x+4)cm，在Rt△ABD中，由勾股定理： ，解得x=6. 则 AD=6cm.
(2)“直角三角形斜边上的高”是一个基本图形，利用面积公式，可得到两直角边、斜边及斜边上的高的一个基本关系式： AE×DB= AD×AB，解得 AE= 4.8cm.
例3(补充) 已知：如图，矩形ABCD中，E是BC上一点，DF⊥AE于F，若AE=BC. 求证：CE=EF.
分析：CE、EF分别是BC，AE等线段上的一部分，若AF=BE，则问题解决，而证明AF=BE，只要证明△ABE≌△DFA即可，在矩形中容易构造全等的直角三角形.
证明：∵ 四边形ABCD是矩形，
∴ ∠B=90°，且AD∥BC. ∴ ∠1=∠2.
∵ DF⊥AE， ∴ ∠AFD=90°.
∴ ∠B=∠AFD.又 AD=AE，
∴ △ABE≌△DFA(AAS).
∴ AF=BE.
∴ EF=EC.
此题还可以连接DE，证明△DEF≌△DEC，得到EF=EC.
六、随堂练习
1.(填空)
(1)矩形的定义中有两个条件：一是 ，二是 .
(2)已知矩形的一条对角线与一边的夹角为30°，则矩形两条对角线相交所得的四个角的度数分别为 、、、.
(3)已知矩形的一条对角线长为10cm，两条对角线的一个交角为120°，则矩形的边长分别为 cm， cm， cm， cm.
2.(选择)
(1)下列说法错误的是( ).
(A)矩形的对角线互相平分 (B)矩形的对角线相等
(C)有一个角是直角的四边形是矩形 (D)有一个角是直角的平行四边形叫做矩形
(2)矩形的对角线把矩形分成的三角形中全等三角形一共有( ).
(A)2对 (B)4对 (C)6对 (D)8对
3.已知：如图，O是矩形ABCD对角线的交点，AE平分∠BAD，∠AOD=120°，求∠AEO的度数.
七、课后练习
1.(选择)矩形的两条对角线的夹角为60°，对角线长为15cm，较短边的长为( ).
(A)12cm (B)10cm (C)7.5cm (D)5cm
2.在直角三角形ABC中，∠C=90°，AB=2AC，求∠A、∠B的度数.
3.已知：矩形ABCD中，BC=2AB，E是BC的中点，求证：EA⊥ED.
4.如图，矩形ABCD中，AB=2BC，且AB=AE，求证：∠CBE的度数.
19.2.1 矩形(二)
一、教学目标：
1.理解并掌握矩形的判定方法.
2.使学生能应用矩形定义、判定等知识，解决简单的证明题和计算题，进一步培养学生的分析能力
二、重点、难点
1.重点：矩形的判定.
2.难点：矩形的判定及性质的综合应用.
3.难点的突破方法：
矩形是有一个角是直角的平行四边形，在判定一个四边形是不是矩形时，首先看这个四边形是不是平行四边形，再看它两边的夹角是不是直角，这种用“定义”判定是最重要和最基本的判定方法(这体现了定义作用的双重性、性质和判定).而其它判定都是以“定义”为基础推导出来的.因此本节课要从复习矩形定义下手，并指出由平行四边形得到矩形只需要添加一个独立条件，然后让学生思考讨论，如果小华做出的是一个平行四边形，再加一个什么条件可以说明它是一个矩形呢?从而导出矩形判定方法.
对于判定方法1，要着重说明这个性质包括两个条件：(1)是平行四边形;(2)两条对角线相等.对于判定2，只要求是四边形即可，因为由有三个角是直角，可以推出四边形是平行四边形，而由对角线相等却推不出四边形是平行四边形.为了加深印象，我们安排了例1，在教学中可以适当地再增加一些判断的题目.
要让学生知道(1)矩形的判定方法有以下三种：①一个角是直角的平行四边形;②对角线相等的平行四边形;③有三个角是直角的四边形.(2)而由矩形和平行四边形及四边形的从属关系将矩形的判定方法又可分为两类：①从四边形出发必须增加三个特定的独立条件;②从平行四边形出发只需再增加一个特定的独立条件.(3)特别地：①如果所给四边形添加的条件不满足三个的肯定不是矩形;②所给四边形添加的条件是三个独立条件，但若与判定方法不同，则需要利用定义和判定方法证明或举反例，才能下结论.
在教学中，除教材中所举的门框或矩形零件外，还可以结合生产生活实际说明判定矩形的实用价值.
三、例题的意图分析
本节课的三个例题都是补充题，例1在的一组判断题是为了让学生加深理解判定矩形的条件，老师们在教学中还可以适当地再增加一些判断的题目;例2是利用矩形知识进行计算;例3是一道矩形的判定题，三个题目从不同的角度出发，来综合应用矩形定义及判定等知识的.
四、课堂引入
1.什么叫做平行四边形?什么叫做矩形?
2.矩形有哪些性质?
3.矩形与平行四边形有什么共同之处?有什么不同之处?
4.事例引入：小华想要做一个矩形像框送给妈妈做生日礼物，于是找来两根长度相等的短木条和两根长度相等的长木条制作，你有什么办法可以检测他做的是矩形像框吗?看看谁的方法可行?
通过讨论得到矩形的判定方法.
矩形判定方法1：对角钱相等的平行四边形是矩形.
矩形判定方法2：有三个角是直角的四边形是矩形.
(指出：判定一个四边形是矩形，知道三个角是直角，条件就够了.因为由四边形内角和可知，这时第四个角一定是直角.)
五、例习题分析
例1(补充)下列各句判定矩形的说法是否正确?为什么?
(1)有一个角是直角的四边形是矩形; (×)
(2)有四个角是直角的四边形是矩形; (√)
(3)四个角都相等的四边形是矩形; (√)
(4)对角线相等的四边形是矩形; (×)
(5)对角线相等且互相垂直的四边形是矩形; (×)
(6)对角线互相平分且相等的四边形是矩形; (√)
(7)对角线相等，且有一个角是直角的四边形是矩形; (×)
(8)一组邻边垂直，一组对边平行且相等的四边形是矩形;(√)
(9)两组对边分别平行，且对角线相等的四边形是矩形. (√)
指出：
(l)所给四边形添加的条件不满足三个的肯定不是矩形;
(2)所给四边形添加的条件是三个独立条件，但若与判定方法不同，则需要利用定义和判定方法证明或举反例，才能下结论.
例2 (补充)已知 ABCD的对角线AC、BD相交于点O，△AOB是等边三角形，AB=4 cm，求这个平行四边形的面积.
分析：首先根据△AOB是等边三角形及平行四边形对角线互相平分的性质判定出ABCD是矩形，再利用勾股定理计算边长，从而得到面积值.
解：∵ 四边形ABCD是平行四边形，
∴ AO= AC，BO= BD.
∵ AO=BO，
∴ AC=BD.
∴ ABCD是矩形(对角线相等的平行四边形是矩形).
在Rt△ABC中，
∵ AB=4cm，AC=2AO=8cm，
∴ BC= (cm).
例3 (补充) 已知：如图(1)， ABCD的四个内角的平分线分别相交于点E，F，G，H.求证：四边形EFGH是矩形.
分析：要证四边形EFGH是矩形，由于此题目可分解出基本图形，如图(2)，因此，可选用“三个角是直角的四边形是矩形”来证明.
证明：∵ 四边形ABCD是平行四边形，
∴ AD∥BC.
∴ ∠DAB+∠ABC=180°.
又 AE平分∠DAB，BG平分∠ABC ，
∴ ∠EAB+∠ABG= ×180°=90°.
∴ ∠AFB=90°.
同理可证 ∠AED=∠BGC=∠CHD=90°.
∴ 四边形EFGH是平行四边形(有三个角是直角的四边形是矩形).
六、随堂练习
1.(选择)下列说法正确的是( ).
(A)有一组对角是直角的四边形一定是矩形(B)有一组邻角是直角的四边形一定是矩形
(C)对角线互相平分的四边形是矩形 (D)对角互补的平行四边形是矩形
2.已知：如图 ，在△ABC中，∠C=90°， CD为中线，延长CD到点E，使得 DE=CD.连结AE，BE，则四边形ACBE为矩形.
七、课后练习
1.工人师傅做铝合金窗框分下面三个步骤进行：
⑴ 先截出两对符合规格的铝合金窗料(如图①)，使AB=CD，EF=GH;
⑵ 摆放成如图②的四边形，则这时窗框的形状是 形，根据的数学道理是： ;
⑶ 将直角尺靠紧窗框的一个角(如图③)，调整窗框的边框，当直角尺的两条直角边与窗框无缝隙时(如图④)，说明窗框合格，这时窗框是 形，根据的数学道理是： ;
2.在Rt△ABC中，∠C=90°，AB=2AC，求∠A、∠B的度数.
19.2.2 菱形(一)
一、教学目的：
1.掌握菱形概念，知道菱形与平行四边形的关系.
2.理解并掌握菱形的定义及性质1、2;会用这些性质进行有关的论证和计算，会计算菱形的面积.
3.通过运用菱形知识解决具体问题，提高分析能力和观察能力.
4.根据平行四边形与矩形、菱形的从属关系，通过画图向学生渗透集合思想.
二、重点、难点
1.教学重点：菱形的性质1、2.
2.教学难点：菱形的性质及菱形知识的综合应用.
3.难点的突破方法：
(1)课堂上演示由平行四边形改变成菱形.使学生对平行四边形与菱形的关系形成深刻的印象;
(2)讲解这个定义时，要抓住概念的本质，应突出两条：①强调菱形是平行四边形;②一组邻边相等.另外还需指出定义既是判定又是性质.
(3)菱形的性质，可以让学生动手利用折纸、剪切的方法，探究、归纳.
方法一：将一张长方形的纸横对折，再竖对折(如教材P107的探究)，然后沿图中的虚线剪下，打开即是菱形纸片;
方法二：如图1，两张等宽的纸条交叉重叠在一起，重叠的部分ABCD就是菱形;
图1 图2
方法三：将一张长方形纸对折，再在折痕上取任意长为底边，剪一个等腰三角形，然后打开即是菱形(如图2) .
(3)要让学生知道性质1的已知：如图，菱形ABCD，和结论：AB=BC=CD=DA.
性质2的已知：如图，在菱形ABCD中，对角线AC、BD相交于点O，和结论：AC⊥BD，AC平分∠BAD和∠BCD;BD平分∠ABC和∠ADC.并能灵活运用.
(4)指出：菱形是轴对称图形，它有两条对称轴，这两条对称轴是菱形的对角线，所以两条对称轴互相垂直.
(5)让学生知道：菱形ABCD被对角线AC、BD分成了四个全等的直角三角形，在计算或证明时常用这个结论.
(6)菱形的面积公式是 (其中a、b是菱形的两条对角线分别的长).即：“菱形的面积等于它的两条对角线长的积的一半”.还要指出：当不易求出对角线长时，就用平行四边形面积的一般计算方法计算菱形面积S=底×高.
三、例题的意图分析
本节课安排了两个例题，例1是一道补充题，是为了巩固菱形的性质;例2是教材P108中的例2，这是一道用菱形知识与直角三角形知识来求菱形面积的实际应用问题.此题目，除用以巩固菱形性质外，还可以引导学生用不同的方法来计算菱形的面积，以促进学生熟练、灵活地运用知识.
四、课堂引入
1.(复习)什么叫做平行四边形?什么叫矩形?平行四边形和矩形之间的关系是什么?
2.(引入)我们已经学习了一种特殊的平行四边形——矩形，其实还有另外的特殊平行四边形，请看演示：(可将事先按如图做成的一组对边可以活动的教具进行演示)如图，改变平行四边形的边，使之一组邻边相等，从而引出菱形概念.
菱形定义：有一组邻边相等的平行四边形叫做菱形.
【强调】 菱形(1)是平行四边形;(2)一组邻边相等.
让学生举一些日常生活中所见到过的菱形的例子.
五、例习题分析
例1 (补充) 已知：如图，四边形ABCD是菱形，F是AB上一点，DF交AC于E.
求证：∠AFD=∠CBE.
证明：∵ 四边形ABCD是菱形，
∴ CB=CD， CA平分∠BCD.
∴ ∠BCE=∠DCE.又 CE=CE，
∴ △BCE≌△COB(SAS).
∴ ∠CBE=∠CDE.
∵ 在菱形ABCD中，AB∥CD， ∴∠AFD=∠FDC
∴ ∠AFD=∠CBE.
例2 (教材P108例2)略
六、随堂练习
1.若菱形的边长等于一条对角线的长，则它的一组邻角的度数分别为 .
2.已知菱形的两条对角线分别是6cm和8cm ，求菱形的周长和面积.
3.已知菱形ABCD的周长为20cm，且相邻两内角之比是1∶2，求菱形的对角线的长和面积.
4.已知：如图，菱形ABCD中，E、F分别是CB、CD上的点，且BE=DF.求证：∠AEF=∠AFE.
七、课后练习
1.菱形ABCD中，∠D∶∠A=3∶1，菱形的周长为 8cm，求菱形的高.
2.如图，四边形ABCD是边长为13cm的菱形，其中对角线BD长10cm，求(1)对角线AC的长度;(2)菱形ABCD的面积.
1.The DJs choose songs the most carefully.
流行音乐节目主持人最认真的选择歌曲。
2.How do you like it so far? = What do you think of it so far? = How do you feel about it so far?
到目前为止，你认为它怎么样?
3.Thanks for telling me.
多谢你告诉我。
4.Be up to you to do something
由你决定做……
5.They play a role in deciding the winner.
他们在决定胜利者方面起着重要作用。
6.He is much better than other actors at finding the most interesting roles.
他在发现最有趣的角色方面比其他演员要擅长得多。
7. I still don’t really know my way around.
我依然不认得周边的路。
8.How far is it from your home?
从你家去有多远?
9.However, not everybody enjoys watching these shows.
然而，不是每个人都欣赏这些表演。
10.Some think that the lives of the performers are made up.
有的人认为那些表演都的生活经历是编造的。
11.However, if you don’t take these shows too seriously, they are fun to watch.
然而，假如你不把这些表演看得太当真，它们还是值得看的。
12.And one great thing about them is that they give people a way to make their dreams come true.
有关它们的一件了不起的事情是，它们给人们指明了一条让他们的梦想成真的道路。
1.Sam has longer hair than Tom. = Sam’s hair is longer than Tom’s.
Sam 的头发比Tom的长。
2.I’m taller now than I was 2 years ago = I was shorter 2 years ago than I am now.
现在的我比两年前更高。
3.I study harder now than I did 2 years ago.
现在的我比两年前学习更努力了。
4.I studied harder 2 years ago than I do now.
两年前的我比现在学习更努力。
5.Who is smarter, your mother or your father?
谁更聪明，你的老爸还是老妈?
6.My mother told me a good friend is like a mirror.
妈妈告诉我好朋友像一面镜子。
7.That’s why I like reading books.
那就是我为什么喜欢读书。
8. I think friends are like books —— you don’t need a lot of them as long as they’re good.
我认为朋友像书，只要是好的就不必需要太多。
9.I’m shy so it’s not easy for me to make friends.
我很害羞，所以交朋友对于我来说不容易。
10.It’s not necessary to be the same.
没有必要一样。
11.I don’t really care if my friends are the same as me or different.
我不太关心朋友是否与我一样。
12. A true friend reaches for your hand and touches your heart.
真朋友在你需要是帮助你，打动你。
13.In fact, she’s funnier than anyone.
事实上，她比任何人都更幽默。
14.In what ways are you different?
你们在哪些方面不同?
15.Is he different from you in any way?
在某方面他与你不同吗?
16.She’s always there to listen.
她总是准备着倾听。
17.Huang Lei isn’t as good at tennis as Larry.
Huang Lei打网球不如Larry。
1. What’ s the matter?
What’ s the matter with you?
= What’s the trouble with you?
= What’ s wrong with you?
你怎么了?
2. What should she do?
她该怎么办呢?
Should I take my temperature?
我应该量一下体温吗?
主语+ should/shouldn’t + 动词原形. ..
①You should lie down and rest.
你应该躺下休息一会儿。
② You shouldn’ t go out at night.
你晚上不应该出去。
3. Do you think it comes from a newspaper or a
book?
你认为它是来自报纸还是书呢?
4. I think I sat in the same way for too long without
moving.
我想我以同样的姿势一动不动地坐得太久了。
5. She said that the man had a heart problem andshouldgo to the hospital
