八年级上册英语和数学复习提纲(人教版)不要网站,谢谢..... 5
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1、名词(n.): 表示人、事物、地点或抽象概念的名称。如:boy, morning, bag, ball, class, orange.
2、代词(pron.): 主要用来代替名词。如:who, she, you, it .
3、形容词(adj..):表示人或事物的性质或特征。如:good, right, white, orange .
4、数词(num.): 表示数目或事物的顺序。如:one, two, three, first, second, third, fourth.
5、动词(v.): 表示动作或状态。如:am, is,are,have,see .
6、副词(adv.): 修饰动词、形容词或其他副词,说明时间、地点、程度等。如:now, very, here, often, quietly, slowly.
7、冠词(art..):用在名词前,帮助说明名词。如:a, an, the.
8、介词(prep.): 表示它后面的名词或代词与其他句子成分的关系。如in, on, from, above, behind.
9、连词(conj.): 用来连接词、短语或句子。如and, but, before .
10、感叹词(interj..)表示喜、怒、哀、乐等感情。如:oh, well, hi, hello.
2、句子成分:英语句子成分分为七种:主语、谓语、宾语、定语、状语、表语、宾语补足语。
1、主语是句子所要说的人或事物,回答是“谁”或者“什么”。通常用名词或代词担任。如:I’m Miss Green.(我是格林小姐)
2、谓语动词说明主语的动作或状态,回答“做(什么)”。主要由动词担任。如:Jack cleans the room every day. (杰克每天打扫房间)
3、表语在系动词之后,说明主语的身份或特征,回答是“什么”或者“怎么样”。通常由名词、代词或形容词担任。如:My name is Ping ping .(我的名字叫萍萍)
4、宾语表示及物动词的对象或结果,回答做的是“什么”。通常由名词或代词担任。如:He can spell the word.(他能拼这个词)
有些及物动词带有两个宾语,一个指物,一个指人。指物的叫直接宾语,指人的叫间接宾语。间接宾语一般放在直接宾语的前面。如:He wrote me a letter . (他给我写了一封信)
有时可把介词to或for加在间接宾语前构成短语,放在直接宾语后面,来强调间接宾语。如:He wrote a letter to me . (他给我写了一封信)
5、定语修饰名词或代词,通常由形容词、代词、数词等担任。如:
Shanghai is a big city .(上海是个大城市)
6、状语用来修饰动词、形容词、副词,通常由副词担任。如:He works hard .(他工作努力)
7、宾语补足语用来说明宾语怎么样或干什么,通常由形容词或动词充当。如:They usually keep their classroom clean.(他们通常让教室保持清洁) / He often helps me do my lessons.(他常常帮我做功课) / The teacher wanted me to learn French all by myself.(老师要我自学法语)
☆同位语通常紧跟在名词、代词后面,进一步说明它的情况。如:Where is your classmate Tom ?(你的同学汤姆在哪里?)
3、构词法:英语构词法主要有:合成法、派生法和转换法。
1、合成法:如:spaceship, headache, basketball, playground等等。
2、派生法:
(1)派生名词:①动词+er/or ②动词+ing ③动词+(t)ion ④形容词+ness ⑤其他,如:inventor, learner, swimming, congratulation, kindness, carelessness, knowledge
(2)派生形容词:①名词+y ②名词+ful ③动词+ing/ed ④friendly ⑤dangerous ⑥Chinese; Japanese ⑦English ⑧French ⑨German ⑩国名+(i)an 如:snowy, sunny, hopeful, beautiful, interesting, follwing, daily(每日的),nervous, delicious
(3)派生副词:①形容词+ly ②其它,如:slowly, angrily, full→fully, good→well, possible→possibly等等。
3、转换法:
(1)形容词→动词,如:dry(干燥的)→dry(弄干), clean(干净的)→clean(打扫,弄干净),等等。
(2)动词→名词,如:look, walk, rest, work, study, swim, go, talk等等。
(3)名词→动词,如:hand(手)→(传递),face(脸)→(面对)等等。
(4)形容词→副词,如:early→early, fast→fast等等。
(5)副词→连词,如:when(什么时候)→(当……时候),等等。
(6)介词→副词,如:in(到……里)→(在里面;在家),on(在…上)→(进行,继续)。 我有一些习题,自己找的
1.我建议这周末去野营,但是大部分同学不赞成。
I _______________________ this weekend,but _____________ the classmates don't agree.
2.你洗盘子时不要让水一直流淌。
Don't ______________ while you wash dishes.
3.Benny asked Daisy,“Who were you talking to?”
Benny asked Daisy who ________ _______ _____ ______?
4.“Turn that tap off.”a voice said angrily.
“Turn that tap off.”a voice _______ _______.
5.汤姆提议去海滩,但我们大多数人不同意他的建议。
Tom ________ _________ to the beach, but ______ ____ us didn't _____ _______ him.
6.你们决定为我们班做点什么事情?
What did you __________ _______ _________forour class?
7.Remember not to waste or pollute me.
________ ________ to waste or pollute me.
8.It is necessary for us to put on the picture now.
______ ______ _______ the picture now is necessary for us.
答案:
1 suggest going camping, most of
2 let the water flow all the time
3 you were talking to
4 shout angrily
5 suggest going, most of, agree with
6 decide to do
7 Don't forget
8 To put on
一、词汇
(一)按要求完成各题。
1.mean(名词)_______________ 2.heavy(比较级)________________
3.slowly(最高级)___________ 4.leave(现在分词)______________
5.wish(复数)________________
(二)用所给词的适当形式填空。
1.September is the_____________(nine) of month of the year.
2.Usually, he___________(catch)the No.11 bus to work. Now he is getting on the bus.
3.I'm stronger than he, but he is much_____________(good)than I at skating.
4.He is the_______________(short)man on the team, but he is the _____________(fast).
二、选择填空
( ) 1.In English, the last name is the__________.
A.given name B.family name C.middle name D.full name
( ) 2.What do you call James________short.
A.for B.to C.about D.of
( ) 3.Tom likes_________football game very much.
A.to see B.to look C.watching D.looking at
( ) 4.My father and I________see Aunt Alice next Saturday.
A.am going to B.are going to C.goes to D.go to
( ) 5.Let's walk to the shop. It______near.
A.quite B.is quite C.too D.is too
( ) 6.You're going to help the farmers_________.
A.pick apples B.picking apple C.pick apple D.picking apple
( ) 7.A big truck always carries________than a small one.
A.many B.much C.more D.most
( ) 8.Is Lily the________girl_______her class?
A.tallest;of B.tallest;in C.taller;in D.taller;of
( ) 9.Why_______do your homework first?
A.don't you B.not you C.are you D.do you
( )10.The boy is eating_________.
A.the time B.all the time C.all time D.sometimes
( )11.Let's talk about the difference____English names and
Chinese names.
A.of B.between C.for D.from
( )12.She must get up early______next morning.
A.in B./ C.on D.at
( )13.—What's your sister like?
—__________.
A.She likes all kinds of things.
B.She likes all of us.
C.She is tall.
D.She's very well. Thanks.
( )14.—What time shall we meet?
—Let's make it_______nine o'clock.
A.at B.on C.for D./
( )15.Listen! Can you hear him_______in the next room.
A.sings B.is singing C.to sing D.singing
三、按要求改写句子。
1.Jim is going to take a bus to work.(用 every day 改写)
Jim____________a bus to work every day.
2.I'd like to come, too.(改为一般疑问,并作肯定回答)
_________ ________like to come, too? I'd love to.
3.He needs a number 12 bus. (就划线部分提问)
__________bus_____________he____________
4.The Young Pioneers are going to have a picnic next Sunday.
(划线提问)
_______ ______the Young Pioneers_____ ______ _______next Sunday?
5.It's better for you to wear warm clothes. (改为同义句)
You________ ________ ______ warm clothes.
6.better, which, like, do, you, cats, dogs, or?(连词成句)
________ do you like______, cats or dogs?
四、完成句子。
1.我不能及时到校,因为交通很糟。
I can't get to school_____ ______because the traffic is bad.
2.快点!我想走快些。
________ ________! I want to go faster.
3.孩子们喜欢在户外玩。
Children love to play_________ _________ ________ ________.
4.我不能同意你的意见。
I can't____________ __________you.
5.彼得在离他家十公里的城镇工作。
Peter works in a_________about ten________ ________his home.
6.高老师正站在黑板前面。
Miss Gao is________ ________ ________ ________the blackboard.
答案:
一、(一)1.meaning 2.heavier 3.most slowly 4.leaving 5.wishes
(二)1.ninth 2.catches 3.better 4.shortest...fastest
二、B A C B B A C B A B B B C D D
三、1.takes 2. would you 3.Which...does...need?
4.What are...going to do 5.had better wear 6. Which...better
四、1.on time 2.Hurry up 3.in the open air 4.agree with
5.town...kilometres from 6.standing in front of .
2、代词(pron.): 主要用来代替名词。如:who, she, you, it .
3、形容词(adj..):表示人或事物的性质或特征。如:good, right, white, orange .
4、数词(num.): 表示数目或事物的顺序。如:one, two, three, first, second, third, fourth.
5、动词(v.): 表示动作或状态。如:am, is,are,have,see .
6、副词(adv.): 修饰动词、形容词或其他副词,说明时间、地点、程度等。如:now, very, here, often, quietly, slowly.
7、冠词(art..):用在名词前,帮助说明名词。如:a, an, the.
8、介词(prep.): 表示它后面的名词或代词与其他句子成分的关系。如in, on, from, above, behind.
9、连词(conj.): 用来连接词、短语或句子。如and, but, before .
10、感叹词(interj..)表示喜、怒、哀、乐等感情。如:oh, well, hi, hello.
2、句子成分:英语句子成分分为七种:主语、谓语、宾语、定语、状语、表语、宾语补足语。
1、主语是句子所要说的人或事物,回答是“谁”或者“什么”。通常用名词或代词担任。如:I’m Miss Green.(我是格林小姐)
2、谓语动词说明主语的动作或状态,回答“做(什么)”。主要由动词担任。如:Jack cleans the room every day. (杰克每天打扫房间)
3、表语在系动词之后,说明主语的身份或特征,回答是“什么”或者“怎么样”。通常由名词、代词或形容词担任。如:My name is Ping ping .(我的名字叫萍萍)
4、宾语表示及物动词的对象或结果,回答做的是“什么”。通常由名词或代词担任。如:He can spell the word.(他能拼这个词)
有些及物动词带有两个宾语,一个指物,一个指人。指物的叫直接宾语,指人的叫间接宾语。间接宾语一般放在直接宾语的前面。如:He wrote me a letter . (他给我写了一封信)
有时可把介词to或for加在间接宾语前构成短语,放在直接宾语后面,来强调间接宾语。如:He wrote a letter to me . (他给我写了一封信)
5、定语修饰名词或代词,通常由形容词、代词、数词等担任。如:
Shanghai is a big city .(上海是个大城市)
6、状语用来修饰动词、形容词、副词,通常由副词担任。如:He works hard .(他工作努力)
7、宾语补足语用来说明宾语怎么样或干什么,通常由形容词或动词充当。如:They usually keep their classroom clean.(他们通常让教室保持清洁) / He often helps me do my lessons.(他常常帮我做功课) / The teacher wanted me to learn French all by myself.(老师要我自学法语)
☆同位语通常紧跟在名词、代词后面,进一步说明它的情况。如:Where is your classmate Tom ?(你的同学汤姆在哪里?)
3、构词法:英语构词法主要有:合成法、派生法和转换法。
1、合成法:如:spaceship, headache, basketball, playground等等。
2、派生法:
(1)派生名词:①动词+er/or ②动词+ing ③动词+(t)ion ④形容词+ness ⑤其他,如:inventor, learner, swimming, congratulation, kindness, carelessness, knowledge
(2)派生形容词:①名词+y ②名词+ful ③动词+ing/ed ④friendly ⑤dangerous ⑥Chinese; Japanese ⑦English ⑧French ⑨German ⑩国名+(i)an 如:snowy, sunny, hopeful, beautiful, interesting, follwing, daily(每日的),nervous, delicious
(3)派生副词:①形容词+ly ②其它,如:slowly, angrily, full→fully, good→well, possible→possibly等等。
3、转换法:
(1)形容词→动词,如:dry(干燥的)→dry(弄干), clean(干净的)→clean(打扫,弄干净),等等。
(2)动词→名词,如:look, walk, rest, work, study, swim, go, talk等等。
(3)名词→动词,如:hand(手)→(传递),face(脸)→(面对)等等。
(4)形容词→副词,如:early→early, fast→fast等等。
(5)副词→连词,如:when(什么时候)→(当……时候),等等。
(6)介词→副词,如:in(到……里)→(在里面;在家),on(在…上)→(进行,继续)。 我有一些习题,自己找的
1.我建议这周末去野营,但是大部分同学不赞成。
I _______________________ this weekend,but _____________ the classmates don't agree.
2.你洗盘子时不要让水一直流淌。
Don't ______________ while you wash dishes.
3.Benny asked Daisy,“Who were you talking to?”
Benny asked Daisy who ________ _______ _____ ______?
4.“Turn that tap off.”a voice said angrily.
“Turn that tap off.”a voice _______ _______.
5.汤姆提议去海滩,但我们大多数人不同意他的建议。
Tom ________ _________ to the beach, but ______ ____ us didn't _____ _______ him.
6.你们决定为我们班做点什么事情?
What did you __________ _______ _________forour class?
7.Remember not to waste or pollute me.
________ ________ to waste or pollute me.
8.It is necessary for us to put on the picture now.
______ ______ _______ the picture now is necessary for us.
答案:
1 suggest going camping, most of
2 let the water flow all the time
3 you were talking to
4 shout angrily
5 suggest going, most of, agree with
6 decide to do
7 Don't forget
8 To put on
一、词汇
(一)按要求完成各题。
1.mean(名词)_______________ 2.heavy(比较级)________________
3.slowly(最高级)___________ 4.leave(现在分词)______________
5.wish(复数)________________
(二)用所给词的适当形式填空。
1.September is the_____________(nine) of month of the year.
2.Usually, he___________(catch)the No.11 bus to work. Now he is getting on the bus.
3.I'm stronger than he, but he is much_____________(good)than I at skating.
4.He is the_______________(short)man on the team, but he is the _____________(fast).
二、选择填空
( ) 1.In English, the last name is the__________.
A.given name B.family name C.middle name D.full name
( ) 2.What do you call James________short.
A.for B.to C.about D.of
( ) 3.Tom likes_________football game very much.
A.to see B.to look C.watching D.looking at
( ) 4.My father and I________see Aunt Alice next Saturday.
A.am going to B.are going to C.goes to D.go to
( ) 5.Let's walk to the shop. It______near.
A.quite B.is quite C.too D.is too
( ) 6.You're going to help the farmers_________.
A.pick apples B.picking apple C.pick apple D.picking apple
( ) 7.A big truck always carries________than a small one.
A.many B.much C.more D.most
( ) 8.Is Lily the________girl_______her class?
A.tallest;of B.tallest;in C.taller;in D.taller;of
( ) 9.Why_______do your homework first?
A.don't you B.not you C.are you D.do you
( )10.The boy is eating_________.
A.the time B.all the time C.all time D.sometimes
( )11.Let's talk about the difference____English names and
Chinese names.
A.of B.between C.for D.from
( )12.She must get up early______next morning.
A.in B./ C.on D.at
( )13.—What's your sister like?
—__________.
A.She likes all kinds of things.
B.She likes all of us.
C.She is tall.
D.She's very well. Thanks.
( )14.—What time shall we meet?
—Let's make it_______nine o'clock.
A.at B.on C.for D./
( )15.Listen! Can you hear him_______in the next room.
A.sings B.is singing C.to sing D.singing
三、按要求改写句子。
1.Jim is going to take a bus to work.(用 every day 改写)
Jim____________a bus to work every day.
2.I'd like to come, too.(改为一般疑问,并作肯定回答)
_________ ________like to come, too? I'd love to.
3.He needs a number 12 bus. (就划线部分提问)
__________bus_____________he____________
4.The Young Pioneers are going to have a picnic next Sunday.
(划线提问)
_______ ______the Young Pioneers_____ ______ _______next Sunday?
5.It's better for you to wear warm clothes. (改为同义句)
You________ ________ ______ warm clothes.
6.better, which, like, do, you, cats, dogs, or?(连词成句)
________ do you like______, cats or dogs?
四、完成句子。
1.我不能及时到校,因为交通很糟。
I can't get to school_____ ______because the traffic is bad.
2.快点!我想走快些。
________ ________! I want to go faster.
3.孩子们喜欢在户外玩。
Children love to play_________ _________ ________ ________.
4.我不能同意你的意见。
I can't____________ __________you.
5.彼得在离他家十公里的城镇工作。
Peter works in a_________about ten________ ________his home.
6.高老师正站在黑板前面。
Miss Gao is________ ________ ________ ________the blackboard.
答案:
一、(一)1.meaning 2.heavier 3.most slowly 4.leaving 5.wishes
(二)1.ninth 2.catches 3.better 4.shortest...fastest
二、B A C B B A C B A B B B C D D
三、1.takes 2. would you 3.Which...does...need?
4.What are...going to do 5.had better wear 6. Which...better
四、1.on time 2.Hurry up 3.in the open air 4.agree with
5.town...kilometres from 6.standing in front of .
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新目标英语八年级上笔记
Review of Unit 1-6
I. language goals (语言目标)
1. Talk about how often you do things 谈论做事情的频率。
2. Talk about your health. Make suggestions.
谈论健康话题以及提出建议。
3. Talk about future plans.
谈论未来的计划/打算。
4. Talk about how to get to places.
谈论到达某地的方式。
5. Learn to make invitations, say yes to invitations and say no to invitations and give reasons.
学会发出,接受和拒绝邀请并说出原因。
6. Learn to talk about personal traits and how to compare people.
学会谈论个人品质以及如何比较人们。
II. Key Phrases (重点短语):
1. how often 多长时间一次
2. junk food 垃圾食品
3. a lot of 许多
4. hardly ever 很少
5. start with 以…开始
6. try to do sth. 试着去做某事
7. look after 照料
8. be kind of unhealthy 有点不健康
9. once a day 一天一次
10. twice a month 一个月两次
11. be good for 对…有好处
12. once in a while 偶尔
13. see a doctor / dentist 看病/看牙医
14. get a cold / fever 感冒/发烧
15. have a stomachache 肚子疼
16. have a toothache 牙疼
17. have a sore throat 嗓子疼
18. lie down and rest 躺下休息
19. drink hot tea with honey 喝加蜂蜜的热茶
20. be stressed out 紧张
21. listen to … 听…
22. get tired 变的疲劳
23. keep healthy 保持健康
24. at the moment 此刻;目前
25. watch TV 看电视
26. play basketball 打篮球
27. babysit her sister 照看她的妹妹
28. visit my friend 拜访我的朋友
29. relax at home 在家放松
30. sports camp 运动野营
31. something interesting
32. go hiking / camping / fishing / shopping / sightseeing
去徒步旅行/野营/钓鱼/购物/观光
33. go away 离开
34. get back to school 返回学校
35. stay for a week 呆一个星期
36. go bike riding 骑自行车兜风
37. takes walks 散步
38. rent videos 租录像带
39. sleep a lot 睡得多
40. think about 考虑
41. take the subway / bus / boat / plane
乘地铁/公共车/小船/飞机
42. get to 到达
43. go by bus / plane / boat 乘公共车/飞机/小船
44. train / subway / bus station 火车/地铁/公共车站
45. bus ride 乘公共车的旅行
46. ride a bike 骑自行车
47. bus stop 公共汽车站
48. on foot 步行
49. leave for 离开去…
50. school bus 学校班车
51. the early bus 早班车
52. be different from 与…不同
53. half past six 六点半
54. in North America 在北美洲
55. a quick breakfast 快捷的早餐
56. need to do 需要做…
57. more than 多于
58. play soccer 踢足球
59. baseball game 棒球比赛
60. school team 校队
61. come over to 过来到…
62. the day after tomorrow 后天
63. be good at 擅长于…
64. two years ago 两年前
65. be outgoing 外向的
66. all the time 一直
67. in some ways 在一些方面
68. look the same 看起来一样
69. talk to everyone 与大家谈话
70. make me laugh 使我笑
III. Key Sentence Structures 重要句型:
Unit 1:
1. -What do you usually do on weekends?
-I usually go to the movies.
2. -What does he sometimes do on weekends?
-He sometimes surfs the Internet.
3. How often do you exercise?
I exercise once a week.
4. How often does she eat vegetables?
She eats vegetables three times a day.
5. Most of the students go to the beach every year.
6. It makes a big difference to my grades.
7. My eating habits are pretty good.
Unit 2:
1. What’s the matter?
What’s wrong?
What’s the trouble?
2. I’m not feeling well. I have a cold / fever/ stomachache / sore throat.
/I have a lot of headaches.
3. Maybe you should see the doctor / dentist.
You should drink some hot tea with honey.
4. You shouldn’t eat anything for 24 hours.
5. Don’t get stressed out. It will make you sick.
6. I’m sorry to hear that you are not feeling well.
Unit 3
1. -What is she doing for vacation?
-She is babysitting her little sister.
-That sounds nice / interesting.
2. -When are you going?
-I’m going on Monday.
3. -Where are they going?
-They are going to Tibet.
4. -Who is she going with?
-She is going with her parents.
5. -How long is he staying.
-He is staying for a week.
6. -How is the weather there?
-I’m hoping the weather will be nice.
7. He is leaving for Hong Kong the first week in June.
8. Have a good time.
Unit 4:
1. -How do you get to school?
-I get to school by bus.
2. -How does he go to work?
-He usually walks to school.
3. -How long does it take?
-It takes about twenty minutes.
4. -How far is it from his home to school?
-It’s three miles.
5. What do you think of the transportation in your town?
Unit 5:
1. -Can you come to my party on Wednesday?
-Sure, I’d love to. / I’m sorry, I have to have a piano lesson.
2. -Can she go to the movies on Saturday?
-No, she can’t. She has to help her mom.
3. -Can you go to the concert on Monday?
-When is it?
-It’s at four o’clock on Friday.
4. Thanks a lot for the invitation.
5. I’m going to study for a test this evening.
6. What’s the date today?
Unit 6
1. Pedro is funnier than Paul.
2. Tina is (a little)taller than Tara.
3. I am more athletic than my best friend.
4. My hair is longer than hers.
5. Liu Ying is not as good as her sister.
6. In some ways, we look the same.
7. For me, a good friend likes doing the same things as me.
8. I’m quieter than most of the kids in my class, and so is my friend.
9. Who do you think should get the job, Ruth or Rose?
第十一章 一次函数
我们称数值变化的量为变量(variable)。
有些量的数值是始终不变的,我们称它们为常量(constant)。
在一个变化过程中,如果有两个变量x与y,并且对于x的每一个确定的值,y都有唯一确定的值与其对应,那么我们说x是自变量(independent variable),y是x的函数(function)。
如果当x=a时y=b,那么b叫做当自变量的值为a时的函数值。
形如y=kx(k是常数,k≠0)的函数,叫做正比例函数(proportional function),其中k叫做比例系数。
形如y=kx+b(k,b是常数,k≠0)的函数,叫做一次函数(linear function)。正比例函数是一种特殊的一次函数。
当k>0时,y随x的增大而增大;当k<0时,y随x的增大而减小。
每个二元一次方程组都对应两个一次函数,于是也对应两条直线。从“形”的角度看,解方程组相当于确定两条直线交点的坐标。
第十二章 数据的描述
我们称落在不同小组中的数据个数为该组的频数(frequency),频数与数据总数的比为频率。
常见的统计图:条形图(bar graph)(复合条形图)、扇形图(pie chart)、折线图、直方图(histogram)。
条形图:描述各组数据的个数。
复合条形图:不仅可以看出数据的情况,而且还可以对它们进行比较。
扇形图:描述各组频数的大小在总数中所占的百分比。
折线图:描述数据的变化趋势。
直方图:能够显示各组频数分布的情况;易于显示各组之间频数的差别。
在频数分布(frequency distribution)表中:我们把分成组的个数称为组数,每一组两个端点的差称为组距。
求出各个小组两个端点的平均数,这些平均数称为组中值。
第十三章 全等三角形
能够完全重合的两个图形叫做全等形(congruent figures)。
能够完全重合的两个三角形叫做全等三角形(congruent triangles)。
全等三角形的性质:全等三角形对应边相等;全等三角形对应角相等。
全等三角形全等的条件:三边对应相等的两个三角形全等。(SSS)
两边和它们的夹角对应相等的两个三角形全等。(SAS)
两角和它们的夹边对应相等的两个三角形全等。(ASA)
两个角和其中一个角的对边对应相等的两个三角形全等。(AAS)
角平分线的性质:角平分线上的点到角的两边的距离相等。
到角两边的距离相等的点在角的平分线上。
第十四章 轴对称
经过线段中点并且垂直于这条线段的直线,叫做这条线段的垂直平分线(perpendicular bisector)。
轴对称图形的对称轴,是任何一对对应点所连接线段的垂直平分线。
线段垂直平分线上的点与这条线段两个端点的距离相等。
由一个平面图形得到它的轴对称图形叫做轴对称变换。
等腰三角形的性质:
等腰三角形的两个底角相等。(等边对等角)
等腰三角形的顶角平分线、底边上的中线、底边上的高互相重合。(三线合一)(附:顶角+2底角=180°)
如果一个三角形有两个角相等,那么这两个角所对的边也相等。(等角对等边)
有一个角是60°的等腰三角形是等边三角形。
在直角三角形中,如果一个锐角等于30°,那么它所对的直角边等于斜边的一半。
第十五章 整式
式子是数或字母的积的式子叫做单项式(monomial)。单独的一个数或字母也是单项式。
单项式中的数字因数叫做这个单项式的系数(coefficient)。
一个单项式中,所有字母的指数的和叫做这个单项式的次数(degree)。
几个单项式的和叫做多项式(polynomial)。每个单项式叫多项式的项(term),其中,不含字母的叫做常数项(constant term)。
多项式里次数最高的项的次数,就是这个多项式的次数。
单项式和多项式统称整式(integral expression)。
所含字母相同,并且相同字母的指数也相同的项叫做同类项。
把多项式中的同类项合并成一项,即把它们的系数相加作为新的系数,而字母部分不变,叫做合并同类项。
几个整式相加减,通常用括号把每一个整式括起来,再用加减号连接;然后去括号,合并同类项。
同底数幂相乘,底数不变,指数相加。
幂的乘方,底数不变,指数相乘
积的乘方,等于把积的每一个因式分别乘方,再把所得的幂相乘。
单项式与单项式相乘,把它们的系数、相同字母分别相乘,对于只在一个单项式里含有的字母,则连同它的指数作为积的一个因式。
单项式与多项式相乘,就是用单项式去乘多项式的每一项,再把所得的积相加。
多项式与多项式相乘,先用一个多项式的每一项乘另一个多项式的每一项,再把所得的积相加。
(x+p)(x+q)=x^2+(p+q)x+pq
平方差公式:(a+b)(a-b)=a^2-b^2
完全平方公式:(a+b)^2=a^2+2ab+b^2 (a-b)^2=a^2-2ab+b^2
(a+b+c)^2=a^2+2a(b+c)+(b+c)^2
同底数幂相除,底数不变,指数相减。
任何不等于0的数的0次幂都等于1。
Review of Unit 1-6
I. language goals (语言目标)
1. Talk about how often you do things 谈论做事情的频率。
2. Talk about your health. Make suggestions.
谈论健康话题以及提出建议。
3. Talk about future plans.
谈论未来的计划/打算。
4. Talk about how to get to places.
谈论到达某地的方式。
5. Learn to make invitations, say yes to invitations and say no to invitations and give reasons.
学会发出,接受和拒绝邀请并说出原因。
6. Learn to talk about personal traits and how to compare people.
学会谈论个人品质以及如何比较人们。
II. Key Phrases (重点短语):
1. how often 多长时间一次
2. junk food 垃圾食品
3. a lot of 许多
4. hardly ever 很少
5. start with 以…开始
6. try to do sth. 试着去做某事
7. look after 照料
8. be kind of unhealthy 有点不健康
9. once a day 一天一次
10. twice a month 一个月两次
11. be good for 对…有好处
12. once in a while 偶尔
13. see a doctor / dentist 看病/看牙医
14. get a cold / fever 感冒/发烧
15. have a stomachache 肚子疼
16. have a toothache 牙疼
17. have a sore throat 嗓子疼
18. lie down and rest 躺下休息
19. drink hot tea with honey 喝加蜂蜜的热茶
20. be stressed out 紧张
21. listen to … 听…
22. get tired 变的疲劳
23. keep healthy 保持健康
24. at the moment 此刻;目前
25. watch TV 看电视
26. play basketball 打篮球
27. babysit her sister 照看她的妹妹
28. visit my friend 拜访我的朋友
29. relax at home 在家放松
30. sports camp 运动野营
31. something interesting
32. go hiking / camping / fishing / shopping / sightseeing
去徒步旅行/野营/钓鱼/购物/观光
33. go away 离开
34. get back to school 返回学校
35. stay for a week 呆一个星期
36. go bike riding 骑自行车兜风
37. takes walks 散步
38. rent videos 租录像带
39. sleep a lot 睡得多
40. think about 考虑
41. take the subway / bus / boat / plane
乘地铁/公共车/小船/飞机
42. get to 到达
43. go by bus / plane / boat 乘公共车/飞机/小船
44. train / subway / bus station 火车/地铁/公共车站
45. bus ride 乘公共车的旅行
46. ride a bike 骑自行车
47. bus stop 公共汽车站
48. on foot 步行
49. leave for 离开去…
50. school bus 学校班车
51. the early bus 早班车
52. be different from 与…不同
53. half past six 六点半
54. in North America 在北美洲
55. a quick breakfast 快捷的早餐
56. need to do 需要做…
57. more than 多于
58. play soccer 踢足球
59. baseball game 棒球比赛
60. school team 校队
61. come over to 过来到…
62. the day after tomorrow 后天
63. be good at 擅长于…
64. two years ago 两年前
65. be outgoing 外向的
66. all the time 一直
67. in some ways 在一些方面
68. look the same 看起来一样
69. talk to everyone 与大家谈话
70. make me laugh 使我笑
III. Key Sentence Structures 重要句型:
Unit 1:
1. -What do you usually do on weekends?
-I usually go to the movies.
2. -What does he sometimes do on weekends?
-He sometimes surfs the Internet.
3. How often do you exercise?
I exercise once a week.
4. How often does she eat vegetables?
She eats vegetables three times a day.
5. Most of the students go to the beach every year.
6. It makes a big difference to my grades.
7. My eating habits are pretty good.
Unit 2:
1. What’s the matter?
What’s wrong?
What’s the trouble?
2. I’m not feeling well. I have a cold / fever/ stomachache / sore throat.
/I have a lot of headaches.
3. Maybe you should see the doctor / dentist.
You should drink some hot tea with honey.
4. You shouldn’t eat anything for 24 hours.
5. Don’t get stressed out. It will make you sick.
6. I’m sorry to hear that you are not feeling well.
Unit 3
1. -What is she doing for vacation?
-She is babysitting her little sister.
-That sounds nice / interesting.
2. -When are you going?
-I’m going on Monday.
3. -Where are they going?
-They are going to Tibet.
4. -Who is she going with?
-She is going with her parents.
5. -How long is he staying.
-He is staying for a week.
6. -How is the weather there?
-I’m hoping the weather will be nice.
7. He is leaving for Hong Kong the first week in June.
8. Have a good time.
Unit 4:
1. -How do you get to school?
-I get to school by bus.
2. -How does he go to work?
-He usually walks to school.
3. -How long does it take?
-It takes about twenty minutes.
4. -How far is it from his home to school?
-It’s three miles.
5. What do you think of the transportation in your town?
Unit 5:
1. -Can you come to my party on Wednesday?
-Sure, I’d love to. / I’m sorry, I have to have a piano lesson.
2. -Can she go to the movies on Saturday?
-No, she can’t. She has to help her mom.
3. -Can you go to the concert on Monday?
-When is it?
-It’s at four o’clock on Friday.
4. Thanks a lot for the invitation.
5. I’m going to study for a test this evening.
6. What’s the date today?
Unit 6
1. Pedro is funnier than Paul.
2. Tina is (a little)taller than Tara.
3. I am more athletic than my best friend.
4. My hair is longer than hers.
5. Liu Ying is not as good as her sister.
6. In some ways, we look the same.
7. For me, a good friend likes doing the same things as me.
8. I’m quieter than most of the kids in my class, and so is my friend.
9. Who do you think should get the job, Ruth or Rose?
第十一章 一次函数
我们称数值变化的量为变量(variable)。
有些量的数值是始终不变的,我们称它们为常量(constant)。
在一个变化过程中,如果有两个变量x与y,并且对于x的每一个确定的值,y都有唯一确定的值与其对应,那么我们说x是自变量(independent variable),y是x的函数(function)。
如果当x=a时y=b,那么b叫做当自变量的值为a时的函数值。
形如y=kx(k是常数,k≠0)的函数,叫做正比例函数(proportional function),其中k叫做比例系数。
形如y=kx+b(k,b是常数,k≠0)的函数,叫做一次函数(linear function)。正比例函数是一种特殊的一次函数。
当k>0时,y随x的增大而增大;当k<0时,y随x的增大而减小。
每个二元一次方程组都对应两个一次函数,于是也对应两条直线。从“形”的角度看,解方程组相当于确定两条直线交点的坐标。
第十二章 数据的描述
我们称落在不同小组中的数据个数为该组的频数(frequency),频数与数据总数的比为频率。
常见的统计图:条形图(bar graph)(复合条形图)、扇形图(pie chart)、折线图、直方图(histogram)。
条形图:描述各组数据的个数。
复合条形图:不仅可以看出数据的情况,而且还可以对它们进行比较。
扇形图:描述各组频数的大小在总数中所占的百分比。
折线图:描述数据的变化趋势。
直方图:能够显示各组频数分布的情况;易于显示各组之间频数的差别。
在频数分布(frequency distribution)表中:我们把分成组的个数称为组数,每一组两个端点的差称为组距。
求出各个小组两个端点的平均数,这些平均数称为组中值。
第十三章 全等三角形
能够完全重合的两个图形叫做全等形(congruent figures)。
能够完全重合的两个三角形叫做全等三角形(congruent triangles)。
全等三角形的性质:全等三角形对应边相等;全等三角形对应角相等。
全等三角形全等的条件:三边对应相等的两个三角形全等。(SSS)
两边和它们的夹角对应相等的两个三角形全等。(SAS)
两角和它们的夹边对应相等的两个三角形全等。(ASA)
两个角和其中一个角的对边对应相等的两个三角形全等。(AAS)
角平分线的性质:角平分线上的点到角的两边的距离相等。
到角两边的距离相等的点在角的平分线上。
第十四章 轴对称
经过线段中点并且垂直于这条线段的直线,叫做这条线段的垂直平分线(perpendicular bisector)。
轴对称图形的对称轴,是任何一对对应点所连接线段的垂直平分线。
线段垂直平分线上的点与这条线段两个端点的距离相等。
由一个平面图形得到它的轴对称图形叫做轴对称变换。
等腰三角形的性质:
等腰三角形的两个底角相等。(等边对等角)
等腰三角形的顶角平分线、底边上的中线、底边上的高互相重合。(三线合一)(附:顶角+2底角=180°)
如果一个三角形有两个角相等,那么这两个角所对的边也相等。(等角对等边)
有一个角是60°的等腰三角形是等边三角形。
在直角三角形中,如果一个锐角等于30°,那么它所对的直角边等于斜边的一半。
第十五章 整式
式子是数或字母的积的式子叫做单项式(monomial)。单独的一个数或字母也是单项式。
单项式中的数字因数叫做这个单项式的系数(coefficient)。
一个单项式中,所有字母的指数的和叫做这个单项式的次数(degree)。
几个单项式的和叫做多项式(polynomial)。每个单项式叫多项式的项(term),其中,不含字母的叫做常数项(constant term)。
多项式里次数最高的项的次数,就是这个多项式的次数。
单项式和多项式统称整式(integral expression)。
所含字母相同,并且相同字母的指数也相同的项叫做同类项。
把多项式中的同类项合并成一项,即把它们的系数相加作为新的系数,而字母部分不变,叫做合并同类项。
几个整式相加减,通常用括号把每一个整式括起来,再用加减号连接;然后去括号,合并同类项。
同底数幂相乘,底数不变,指数相加。
幂的乘方,底数不变,指数相乘
积的乘方,等于把积的每一个因式分别乘方,再把所得的幂相乘。
单项式与单项式相乘,把它们的系数、相同字母分别相乘,对于只在一个单项式里含有的字母,则连同它的指数作为积的一个因式。
单项式与多项式相乘,就是用单项式去乘多项式的每一项,再把所得的积相加。
多项式与多项式相乘,先用一个多项式的每一项乘另一个多项式的每一项,再把所得的积相加。
(x+p)(x+q)=x^2+(p+q)x+pq
平方差公式:(a+b)(a-b)=a^2-b^2
完全平方公式:(a+b)^2=a^2+2ab+b^2 (a-b)^2=a^2-2ab+b^2
(a+b+c)^2=a^2+2a(b+c)+(b+c)^2
同底数幂相除,底数不变,指数相减。
任何不等于0的数的0次幂都等于1。
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2011-01-14
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百鸟朝凤想让他回到家的返回给那当然
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