范文一:初一上册数学答案
第一章 走进数学世界测试题
参考答案:
一.1. 13 2. 红色 3. 90 4. 28;15;13;86;420;3 5. S甲=S乙如图原阴影部分面积分别等于两个 边长相等的正方形的面积. 6.(1)52,(2)A (3)B (4)12 7. 5;4或2 8. —
(甲)
10. 10 三个面的面积分别是:1×2,1×3,
2×3,原长方体的表面积为2×(1×2+1×3+2×3)=22,改变之后为
2
9. 5 3
(乙)
2×(6×2+6×0.5+2×0.5)=32,所以增加10cm.
二.
11. C (由题知他们每天上、下午各测一次,七次上午晴,五次下午晴,共下八次雨,
所以共测了20次,所以是10天).
12. C(相当于涂了底层的上面和每层的侧面,则共有9+4+8+12=33);
13.C (观察发现每七个为一个循环,而2006=7×287+4,而第四个是红色); 14. D (由前三个发现1和2,3,4,5都相邻,所以1对的数字应是6)
15. A 16. C(观察发现每四个数字为一个循环,所以2004至2006相当与4至6); 17.B (由题知参加数学与语文的人数应该是7的整数倍,而158减去第7组的11人正好为
147人是7的整数倍,符合题意);
18.A (1)1+2-3+4-5+6-7+8-9+10- ……-2001+2002=2003-1000=1003是奇数;
(2)(奇数×奇数)×(奇数—奇数)=偶数; (3)2002个连续自然数的和如:
1+2+3+4+5+ ……+2001+2002中有1001个奇数和1001个偶数,其和分别为奇数和偶数,所以总和应是奇数;
(4)2002=2×7×11×13所以(a+b)和 (a-b)只能一个是奇数一个是偶数, 所以利用加减消元时2a等于一个奇数, 所以a不是整数);
19. C (由已知B不在二中和三中,所以B在一中,于是D,E也在一中,而每所学校都有
他们五人中的一个,所以C在二中,A在三中)
20 B (同时出现在两个数列中的数为11,21,31,41,……1991,2001共200个) 21. A
三.22.如图:有两种可能:
2
23. 答案:共有七种不同可能
24. (1)
(2)21 (3)>
25. (1)设第一、二、三包分别取x千克、y千克、z千克,
?x+y+z=1 ①则? ?90%y+30%z=1×45% ②
由②得,6y+2z =3 ③.
2x + 1
①×2 - ③,得 2x-4y = - 1, 于是y = .
4(2)由题意知,必用第二包.
2×0+ 11
如果不用第一包,即当x=0时,y有最小值为y = ;
44
1
如果不用第三包,即当z=0时,y有最大值,此时,90%y+30%×0=1×45%,解得y = .
211所以,≤ y 42
七年级上学期数学单元测试题(二)
参考答案
一、1.10; 2.奇数; 3.-4; 4.5; 5. ①25; ②-25; ③-25; 6.①2.44×104; ②3.61×108; 7.①8; ②6.3×104; 8.x ② ④> ⑤> ⑥
1
81 8
231
; (2); (3)21; (4)-2; (5)-12; (6)45;
25
1
y??3 六、1.x?2y1?3
4xy3??4??(?3)3???54?(?6)??60
1x2
2
五、(1)
2.a??1
b??2
a2004b?ab3?(?1)2004?(?2)?(?1)?(?2)3 =-2+8 =6 七、(1)198÷0.9=220(元) (2)330×0.9=297(元)
(3)500×0.9+(555-500)×0.8=450+44=494元
第三章整式的加减
参考答案
n
一、填空题1.2a?2b 2.x?y 3.n?1,n?1 4.2 5.3,6,?
1 5
6.?3x,6x,5,x?2x?3 7.a?b,?a?b 8.6x?7y?3 9.70 10.1,3 11.a?4ab?3ab?5b 12.2 13.2x?x?1 二、选择题 1.A 2.D 3.D 4.D 5.B 6.A 7.C 8.C 9.B 10.A 11.A 12.C
三、1.9x 2.?3p 3.?2a 4.3xy?4xy 5.?6.10a?9b?2c
四、1.30 2.?2 3.?1 五、⑴6;⑵8,10,2n?2
2
n
4
3
2
5
2
22
22
12
ab 2
六、0 七、?38
八、x?1000a?b,y?100
b?a,x?y?999a?99b, 所以9能整除x?y. 六、0
八、x?1000a?b,y?100
b?a,x?y?999a?99b, 所以9能整除x?y.
21. -2 22. x2?y2 23. 7x2?12x?7
24. 解:化简, 得 ?2y2?3x2
由x=1,y比x的相反数小1,得 y=-2, 当x=1, y=-2时,
?2y2?3x2=-2×(-2)2-3=-11
25.解: 由(a?2)2?b?=0得 a=-2,b=-1, 当a=-2,b=-1时,
5ab2??2a2b?[3ab2?(4ab2?2a2b)]?
=4ab2=-8
26. (1)16 (2)68 (3)4(n-1)
答案: 第四章 图形的初步认识
一、填空题
1. 73°33′ 2. 两点之间,线段最短 3. 130° 4. 7 6. 37.5° 7. BC、C、AB 8. 北偏东50° 南偏西75° 二、选择题
9.D 10.B 11.B 12.C 13.D 三、作图题 14.
5. ∠B AB//CD
正视图
15.
左视图
俯视图
AM
ON
四、解答题
16. ∵EF平分∠DEG,∴∠1=∠2 ∵∠1=60°,∴∠2=60°
∵CD//AB, ∴∠2=∠3, ∴∠3=60°。 17.证明:∵∠ADE=∠B
∴DE//BC(同位角相等,两直线平行) ∴∠1=∠3(两直线平行,内错角相等) 又∵∠1=∠2,∴∠2=∠3
∴GF//DC(同位角相等,两直线平行) ∴∠FGB=∠CDB ∵FG⊥AB ∴∠FGB=90° ∴∠CDB=90° ∴CD⊥AB。
参考答案 一、选择题:
二、填空题:
11. 5.94, 12.95, 6.09 12. 所有学生的家长, 不足以 13. 34 14. 0.25 15. 折线, 扇形 16. 最多 17. 144度 18. 50% 三、解答题
19. 1)a=0.099, b=5
2)11
20.
21. 150(只)
22. 1)第二一季度产量最高,它比第一季度的产量多120kg
2)第二季度比第一季度超产50% 3)全年平均每月的产量是90kg
23. 1)40人
2)8人 3)30%,108度 4)100人 24.
人数
步行 骑车 上学方式
25. 1)
C种 2)1 3)11500瓶 4)1:2:7 26. 1)1225, 940000
2)2004,
43.6%
3)100000/25=4000(元/人)
范文二:初一上册寒假生活答案
第一部分 选择题(共95分)
一、听力(每题1分,共20分)
A.听对话及问题,选择正确的图片。每段对话听两遍。(5分)
( )1. A B C
B. 听对话及问题,选择正确答案。每段对话听两遍。(5分)
( )6. A. Generous. B. Helpful. C. Both A and B.
( )7. A. John. B. Daniel. C. Kate.
( )8. A. On foot. B. By bike. C. By car.
( )9. A. Geography B. Computer Studies C. English
( )10.A. 8 B. 6 C. 3
C. 听对话,回答问题, 每个对话听两遍。(5分)
听第一段对话,回答第11- 12题。
( ) 11. Did the man have a trip yesterday?
A. Yes, he did. B. No, he didn’t. C. We don’t know.
( ) 12. How did they go home?
A. By bus B. By taxi. C. By underground.
听第二段对话,回答第13- 15题。
( ) 13. Where does the girl come from?
A. the USA B. China C. the UK
( ) 14. How long does she stay in China?
A. 2 years. B. 3 years. C. 4 years.
( ) 15. Which class and grade is she in?
A. Class 8, Grade 7 B. Class 8, Grade 8. C. Class 7, Grade 8
D. 听短文,回答问题,听两遍。(5分)
( )16. When did the family go out for the holiday?
A. Last May Day. B. Last Sunday. C. Last week.
( )17. Did it rain on that day?
A. Yes. B. No. C. Not sure.
( )18. How long did it take them to get out of the town?
A. Three hours. B. One hour. C. Two hours.
( )19. What suddenly came to them?
A. A strong wind. B. A car. C. A bus.
( )20. What did they think of their trip?
A. It was pleasant. B. It was funny. C. It was sad.
二、单项选择 从下列每题所给的选项中,选择一个最佳答案。(15分)
( )21. Tom is _______ honest boy, and he has ______ good sense of humour.
A. a, a B. an, / C. a, / D. an, a
( )22. They young man wears glasses because he spends too much time _____ the
computer.
A. to work, in B. working, on C. to work, on D. working, in
( )23. When something ______ me, I always feel ______.
A. worry, worried B. worries, worry C. worries, worried D. worried, worries
( )24. Sam spends _____ time ______ CDs than Daniel.
A. more, to buy B. less, on C. fewer, buying D. less, to buy
( )25. --- Do you have any problems _______ your maths?
--- No, I don’t. But I need some help _____ my English.
A. on, on B. with, with C. on, with D. with, on
( )26. --- Which city do you want to_______?
---I want to go to Beijing.
A. go B. to go to C. go to D. going
( )27. I have a friend __________ Millie.
A. call B. to call C. called D. calling
( )28. Will you please invite him _________ in a writing competition?
A. joins B. to joining C. to join D. joining
( )29. Betty is a beautiful girl ________ bright eyes and black hair.
A. in B. has C. with D. have
( )30. ---Would you like some oranges?
---__________________.
A. Yes, please do B. Yes, I will C. No, thank you D. Yes, I like it
( )31. ---__________ is the hospital?
---It is about ten kilometers away from here.
A. How many B. How often C. How far D. How soon
( )32. The trip from Kitty’s school to the park _________ about one hour by taxi.
A. take B. spend C. takes D. spends
( )33. Everything is OK. We are ready _______ work.
A. to start B. for start C. start D. starting
( )34. When he walks_______ my desk,he knocked my books________ the desk.
A.passed;away B.past;away C.passed;off D.past;off
( )35. ---Is English more important than Maths?
---No, I don’t think so. English is _____________ Maths.
A. much important than B. more important as
C. as important as D. as more important as
( )36. ---Is there ___________ left in the fridge? ---Only some eggs.
A. nothing else B. else anything C. something else D. anything else
( )37. Her father was too tired_________ too much hard work.
A.because B.as C.for D.because of
( )38. Thank you for______ let me_______ on the trip today.
A.agree to;go B.agreeing;going C.agreeing to;go D.agree;to go
( )39. You’re late! Why don’t get up a little________?
A.early B.late C.earlier D.later
( )40. The news is really_________,and everyone is_______.
A.exciting;exciting B.exciting;excited
C.excited;exciting D.excited;excited
三、完形填空 阅读短文,从每题所给选项中选出可以填入空白处的最佳选项。(15分)
Mr Clarke works in a middle school. He likes reading and often __41__ some books from the
library. He __42__ to the radio every morning and reading __43__ after supper. So he knows
much and teaches well. His __44__ worship(崇拜) him very much. Mike, Mr Clarke’s little son,
is only nine. He __45___ likes reading books. And he often asks his father some questions. Mr
Clarke always thinks he's too __46__ to understand him and chooses __47__ ones to answer.
Of course the boy is not satisfied with(对…满意) it. One day Mike read __48__ about the electric
lights (电灯) and was __49__it. When his father told him to do some housework, he went on
thinking of it. He asked him __50__ questions, and his father answered all. Then his father said
proudly,
__52__
__54__
Clarke didn't know __55___ to answer!
( ) 41. A. finds B. sells C. buys D. borrows
( ) 42. A. hears B. listens C. says D. reads
( ) 43. A. newspapers B. letters C. stories D. messages
( ) 44. A. teachers B. parents C. students D. classmates
( ) 45. A. also B. never C. even D. only
( ) 46. A. old B. young C. clever D. able
( ) 47. A. more difficult B. the most difficult C. easy D. the easiest
( ) 48. A. everything B. nothing C. something D. anything
( ) 49. A. worried about B. interested in C. afraid of D. angry with
( ) 50. A. few B. little C. a few D. a little
( ) 51. A. more B. most C. less D. least
( ) 52. A. I think so B. I don’t know C. I agree D. I don’t think so
( ) 53. A. instead B. carefully C. quickly D. brightly
( ) 54. A. Thomas Brown B. Allan Smith C. Thomas Edison D. Ron
Jenkins
( ) 55. A. when B. what C. where D. which
四、阅读理解 阅读下列短文,根据短文内容选择最佳答案。(40分)
A
My mother was telling me about how she and her family got their first television when she was a
teenager. Of course it was black and white. She said she only watch it at night. She doesn’t
remember over watching it in the morning or afternoon. When I was young we had only about 3
or 4 different channels(频道). My bothers, my sisters and I would sometimes fight(打架) about
which channel to watch. But we usually enjoyed the same shows. Now we can get hundreds of
channels on TV. I can’t believe it! There are channels with old films, cooking, fishing and so on.
It’s surprising! There is a channel for everything. I wonder how much my bothers, my sisters and
I would fight if we had hundreds of channels when I was a child. Of course we had only one
television set. These days I find families with 2 or 3 or more television sets in their homes. I
guess it stops people from arguing(吵架) about which channel to choose from .
( ) 56. In those days, how many television sets did people have?
A. more than one B. one C. 3 or 4 D. more than 4
( ) 57. What kind of TV channels do we have now?
A. Channels with cooking B. Channels with old films
C. Channels with fish D. A, B&C
( ) 58. Now how many channels can we get on TV?
A. 3 or 4 different channels. B. Only one channel.
C. Hundreds of channels. D. Less than 10 channels.
( ) 59. When my mum was a teenager, her brothers, sisters and she usually
enjoyed______.
A. different channels B. the same shows C. different shows D. all the shows
( ) 60. Which of the following in NOT true?
A. My mum’s brothers and sisters would fight about which channel to watch when she was a
child.
B. These days, there is only one channel with old movies, cooking and fishing.
C. People have many channels to choose from now.
D. Family members will not fight for the television set.
B
American schools begin in September after the long summer holidays. There are two
terms in a school year, the first term is from September to January, and the second is from
February to June. Most American children go to public schools.
High school students study only four or five subjects at a time. They usually go to the same
classes every day, and they have an assignment(课外作业) for every class. After class they
have many activities.
After high school, many students go to college. They can go to a small one or a large one. They
usually have to pay a lot of money for college education (教育). But there are scholarships (奖学
金) for good students, and many college students work part time in order to get money for their
education.
( ) 61. How long do American students study in school every year?
A. 8 months B. 9 months C. 10 months D. 11 months
( ) 62. High school students take ______ subjects at a time.
A. all B. four C. five D. B or C
( ) 63. ______ can get scholarships.
A. Many college students B. All the students
C. Good high school students D. Good college students
( ) 64. Many college students work part time because ______ .
A. they have many activities B. they have a lot of free time
C. they like doing things D. they have to pay a lot of money for their education
( ) 65. According to the passage, which sentence is Not true?
A. American schools have long summer holidays.
B. There are two terms in the USA.
C. American students don’t do exercises after class.
D. They do part time job to get money to pay for their education.
C
The Young Pop King
He is quiet and shy. He likes to hide his eyes behind his hair. He doesn't smile very often.
However, if you talk to him about music, he'll have a lot to say.
This is Jay Chou, the 33-year-old Taiwanese pop king(天王). His fans are so excited because he
will sing songs on November 30, 2012 in Wuhu, Anhui Province. Many pop stars will come, too.
Chou grew up just with his mother. He did not talk much and did badly in many school subjects.
His mother noticed the boy's special interest in music and sent him to learn piano when he was
only three years old. He loved it and kept on practicing.
Chou is not very handsome. He does not speak clearly when he sings or talks. But the singer
has a lot of fans.
Jiajun, a Junior 2 student in No. 101 Middle School in Beijing.
follows others,
Province.
( ) 66. From this passage, we know that Jay Chou_________.
A. is very handsome B. has a bright smile
C. often makes too much noise D. is a pop music star
( ) 67. His fans are so excited because_________.
A. he is quiet and shy. B. he will sing new songs in Wuhu.
C. he can play the piano very well D. Many famous stars will come to Wuhu.
( ) 68. When he was a little child, he_________.
A. talked a lot every day B. did well in his study at school
C. started to like music D. had a lot of fans
( ) 69. According to one of his fans, Jay_________.
A. is a good student B. has long and beautiful hair
C. is a well-known pianist D. is very attractive to them
( ) 70. The sentence
A. he always has his own style. B. he likes to walk alone
C. he doesn't like other people's songs at all D. no one can catch up with him
D
Reading newspapers has become an important part of everyday life. Some people read
newspapers as the first thing to do in the morning; others read newspapers as soon as they
have free time during the day so that they can learn what is happening in the world. Sometimes,
we do not have enough time to read all the news carefully, so we just take a quick look at the
front page. At other times, we may be in such a hurry that we only have a few minutes to look at
the headlines of the passages.
Newspapers can be found everywhere in the world. We can get many different kinds of
newspapers in big cities, but in some mountain villages we can see few newspapers. Some
newspapers are published once a week, but most of the papers are published once a day with
many pages, some even published twice a day. You know different people enjoy reading
different newspapers. Some like world news and others prefer short stories. They just choose
what they are interested in.
Today newspapers in English have the largest numbers of readers in the world. The English
language is so popular that many Chinese students are reading English newspapers such as
China Daily or 21st Century. Also they bring us more and more information with Internet.
( ) 71. People read newspapers in order to _____________.
A. learn the latest (最新的) news B. meet their own different needs
C. read the short stories D. find the morning news
( ) 72. From the passage we can see that __________ when people get newspapers.
A. they read them very carefully B. they just read the headlines
C. not everyone reads all the pages D. they have no time to read them
( ) 73. Newspapers have so many pages because _______________.
A. more and more people like to read them
B. people enjoy reading something different
C. newspaper become cheaper
D. more pages mean more money
( ) 74.The most popular in the world are newspaper ____________.
A. in English B. in Chinese
C. in other language D. with many pages
( ) 75.According the passage, besides newspapers, people also get information from ___.
A. magazines B. advertisements
C. e-mail D. Internet
第二部分 非选择题(共55分)
五、阅读表达 阅读短文,按要求完成短文后的各项任务。(10分)
My dear friends, what do you often do at the weekends or on holidays? Do you like going hiking?
Most people enjoy hiking, especially in spring or autumn.
Hiking is a healthy activity. But do you know why many people like going hiking? The reason
why people go hiking is different from each other. Here are some of the most important reasons
for people to hike.
First, hiking is a kind of good _______, and it is good for your _______ and not hurt your body.
You can relax(放松) yourself during the hiking. And you can get fresh air, too.
(1)Second, hiking is easy and cheap. All you need to do is to wear a pair of hiking shoes to start.
(2)At last, hiking is the best way to get away from your everyday life. You could hike alone or go
with your family or your good friends. And you can have a picnic together during hiking.
So why not plan your hiking day right now? Let’s go hiking together!
1. 在(1)句的空白处分别填入一个适当的词使句意完整、上下文通顺。________ _______
2.将(2)句译成中文。
____________________________________________________________
3.回答问题:How many reasons for hiking are there in the passage?
____________________________________________________________________________
_____
4.在文中找出与You just need to wear a pair of trainers to start your hiking. 意思相近的句子,并
将它写在答题卡上。
___________________________________________________________________
5.在文中找出最能表达该短文主题的句子,并将它写在答题卡上。
____________________________________________________________________________
______
六、词汇运用 用括号内所给词的适当形式填空(每空不限一词)。(15分)
1. If you want keep fit, you should eat _______(little) fast food than before.
2. They love reading. They are ________(read) of your magazine;
3. Kitty enjoys cooking. She likes to cook _________(taste) meals at weekends.
4. People like going horse ____________(ride) in Inner Mongolia.
5. There _________(be) a lot of traffic on the city roads, but it got better later.
6. Our school football team played _________(bad) yesterday and lost the final.
7. I think his advice is ________(use), I don’t want to take it.
8. At the _________(begin), Mary didn’t feel well.
9. The Class1, Grade8 students ___________(plan) their class trip to the park now.
10. During this ________(year) Reading Week, I read the most books in my class.
11. My story makes the little boy ________(laugh) happily.
12. In cooking lessons, I can learn how ________(cook).
13. Our school life is different from ________(they).
14. Laura is a true friend. She likes to keep secrets to ____________(she).
15. The apples in the picture look like the real __________(one).
七、短文填空 根据短文内容及首字母提示,补全空格内单词,使短文完整、通顺。(请在答题卡
上写出完整单词)(10分)
The weekend is usually a time of rest. B 1 today’s Chinese students cannot rest during the
weekends. According to a survey(据调查), 24% of the junior students in Beijing have classes at
the weekend. Over 40% of the Junior 3 have less t 2 eight hours’ sleep each night because o
3 too much study. Ji Ping, a junior student in Guangzhou, h 4 to get up at 6:30 am on
Saturday. Then she has a whole day of classes. On Sunday she goes to extra classes for math
and English. But she doesn’t complain(抱怨). She says that a 5 her classmates work hard on
Sunday. Liu Yang is from Dalian. As a Junior 2 student, his weekends are less busy. But he also
spends Saturday in school. On Sunday, after d 6 homework, he plays basketball. He feels
happy b 7 he still has time to do the things he likes. A few students are a little luckier. Yang
Qing, a Junior 3 student from Zibo, Shandong, is o 8 of them. And she is a top student. During
the weekends, she usually gets up at 8:00. Then she s 9 some time doing homework. After
that she is free to go shopping or watch TV. “Don’t push yourself too much. Learning well at
school is e 10 ,” she said.
八、书面表达(20分)
假如你叫李涛,你的英国笔友Mary正在学习汉语。她在给你的来信中介绍了她的中国朋友的情
况。请根据以下信息用英语写一封回信,向她介绍你的美国同学Nancy的情况。
内容如下:
姓名 Nancy 年级 八年级11班
外貌 高挑、苗条、漂亮 国籍 美国
最喜欢的颜色 …… 个人爱好 ……
品质 慷慨、乐于助人,幽默 理想职业 ……
要求: 1.词数100个左右。信件开头和结尾已给出,不计入总词数。
2.所写短文必须包括以上内容,省略号部分自由发挥,内容必须围绕主题,调理清晰,字迹工整。
3.文中不得出现真实的人名、校名、地名等相关信息。
Dear Mary,
Thank you for telling me something about your Chinese friend. I think you have a good friend.
Now let me tell you something about my classmate, Nancy.
Best wishes!
Yours Sincerely,
Li Tao
范文三:初一数学书上册答案
初一数学书上册答案
2011-10-10 12:57
提问者:失控的小盆友悬赏分:浏览次数:次 | 5 | 5742
2011-10-10 13:02
最佳答案
1.两车站相距275km,慢车以50km/一小时的速度从甲站开往乙站,1h时后,快车以每小时75km的速度从乙站开往甲站,那么慢车开出几小时后与快车相遇,
设慢车开出a小时后与快车相遇
50a+75(a-1)=275
50a+75a-75=275
125a=350
a=2.8小时
2.一辆汽车以每小时40km的速度由甲地开往乙地,车行3h后,因遇雨,平均速度被迫每小时减少10km,结果到乙地比预计的时间晚了45min,求甲 乙两地距离。
设原定时间为a小时
45分钟=3/4小时
根据题意
40a=40×3+(40-10)×(a-3+3/4)
40a=120+30a-67.5
10a=52.5
a=5.25=5又1/4小时=21/4小时
所以甲乙距离40×21/4=210千米
3、某车间的钳工班,分两队参见植树劳动,甲队人数是乙队人数的 2倍,从甲队调16人到乙队,则甲队剩下的人数比乙队的人数的 一半少3人,求甲乙两队原来的人数,
解:设乙队原来有a人,甲队有2a人
那么根据题意
2a-16=1/2×(a+16)-3
4a-32=a+16-6
3a=42
a=14
那么乙队原来有14人,甲队原来有14×2=28人
现在乙队有14+16=30人,甲队有28-16=12人
4、已知某商店3月份的利润为10万元,5月份的利润为13.2万元,5月份月增长率比4月份增加了10个百分点.求3月份 的月增长率。
解:设四月份的利润为x
则x*(1+10%)=13.2
所以x=12
设3月份的增长率为y 则10*(1+y)=x y=0.2=20%
所以3月份的增长率为20% 参考
范文四:2016年寒假生活指导答案:初一数学上册寒假作业答案
一年一度的寒假马上就要开始了,作为一名中学生,在享受假期的快乐的同时,也不要忘了完成假期作业哦。下面小编为大家整理了一篇寒假生活指导答案:初一数学上册寒假作业答案,欢迎大家参考!一、选择题1、B 2、D 3、B 4、D 5、A 6、D 7、A 8、D 9、D 10、C二、填空题11、0,1,2 12、11 13、略 14、-4 16、0,1 -1,0,1 17、2009 18、-nm3三、计算题 21、(1)115、1.234×10,1.2×10,百万19、9e 20、〉(4)错误!未找到引用源。(2)-错误!未找到引用源。 (3)1322、原式=错误!未找到引用源。 当a=2时,原式=10 23、A-B+C=4 所以明明同学的做法是正确的 24、错误!未找到引用源。 =错误!未找到引用源。 25、当n为奇数时原式=-1 当n为偶数时原式=126、(1)5a+8b (2)6a+10b 27、(1)略 (2)624 表示:错误!未找到引用源。 28、420以上就是查字典数学网为大家整理的寒假生活指导答案:初一数学上册寒假作业答案,怎么样,大家还满意吗?希望对大家的学习有所帮助,同时也祝大家学习进步,考试顺利!尽快地掌握科学知识,迅速提高学习能力,欢迎点击七年级寒假作业,希望给您带来启发!
范文五:[生活]初一数学上册知识点总结
人教版初一数学(上册)人教版初一数学所学内容
第一章有理数 1(1 正数和负数
阅读与思考 用正负数表示加工允许误差 1(3 有理数的加减法
实验与探究 填幻方
阅读与思考 中国人最先使用负数
1(4 有理数的乘除法
观察与思考 翻牌游戏中的数学道理
1(5 有理数的乘方
数学活动 小结 复习题1
第二章整式的加减 2(1 整式
阅读与思考 数字,与字母,的对话
2(2 整式的加减
信息技术应用 电子表格与数据计算
数学活动 小结 复习题2
第三章一元一次方程 3(1 从算式到方程
阅读与思考 “方程”史话
3(2 解一元一次方程(一)——合并同类项与移项 实验与探究 无限循环小数化分数
3(3 解一元一次方程(二)——去括号与去分母 3(4 实际问题与一元一次方程
数学活动 小结 复习题3
第四章图形认识初步 4(1 多姿多彩的图形
阅读与思考 几何学的起源
4(2 直线、射线、线段
阅读与思考 长度的测量
4(3 角
4(4 课题学习 设计制作长方体形状的包装纸盒 数学活动 小结 复习题4
初一数学(上)应知应会的知识点
代数初步知识
1. 代数式:用运算符号“, , × ? ?? ”连接数及表示数的字母的式子称为代数式.注意:用字母表示数有一定的限制,首先字母所取得数应保证它所在的式子有意义,其次字母所取得数还应使实际生活或生产有意义;单独一个数或一个字母也是代数式.
2.列代数式的几个注意事项:
(1)数与字母相乘,或字母与字母相乘通常使用“? ” 乘,或省略不写;
(2)数与数相乘,仍应使用“×”乘,不用“? ”乘,也不能省略乘号;
(3)数与字母相乘时,一般在结果中把数写在字母前面,如a×5应写成5a;
(4)带分数与字母相乘时,要把带分数改成假分数形式,如a× 应写成 a;
(5)在代数式中出现除法运算时,一般用分数线将被除式和除式联系,如3?a写成 的形式;
(6)a与b的差写作a-b,要注意字母顺序;若只说两数的差,当分别设两数为a、b时,则应分类,写做a-b和b-a .
3.几个重要的代数式:(m、n表示整数)
(1)a与b的平方差是: a2-b2 ; a与b差的平方是:(a-b)2 ;
(2)若a、b、c是正整数,则两位整数是: 10a+b ,则三位整数是:100a+10b+c;
(3)若m、n是整数,则被5除商m余n的数是: 5m+n ;偶数是:2n ,奇数是:2n+1;三个连续整数是: n-1、n、n+1 ;
(4)若b,0,则正数是:a2+b ,负数是: -a2-b ,非负数是: a2,非正数是:-a2.
有理数
1.有理数:
(1)凡能写成 形式的数,都是有理数.正整数、0、负整数统称整数;正分数、负分数统称分数;整数和分数统称有理数.注意:0即不是正数,也不是负数;-a不一定是负数,+a也不一定是正数;p不是有理数;
(2)有理数的分类: ? ?
(3)注意:有理数中,1、0、-1是三个特殊的数,它们有自己的特性;这三个数把数轴上的数分成四个区域,这四个区域的数也有自己的特性; (4)自然数? 0和正整数;a,0 ? a是正数;a,0 ? a是负数; a?0 ? a是正数或0 ? a是非负数;a? 0 ? a是负数或0 ? a是非正数.
2(数轴:数轴是规定了原点、正方向、单位长度的一条直线. 3(相反数:
(1)只有符号不同的两个数,我们说其中一个是另一个的相反数;0的相反数还是0;
(2)注意: a-b+c的相反数是-a+b-c;a-b的相反数是b-a;a+b的相反数是-a-b;
(3)相反数的和为0 ? a+b=0 ? a、b互为相反数.
4.绝对值:
(1)正数的绝对值是其本身,0的绝对值是0,负数的绝对值是它的相反数;注意:绝对值的意义是数轴上表示某数的点离开原点的距离;
(2) 绝对值可表示为: 或 ;绝对值的问题经常分类讨论; (3) |a|是重要的非负数,即|a|?0;注意:|a|?|b|=|a?b|, . 5.有理数比大小:(1)正数的绝对值越大,这个数越大;(2)正数永远比0大,负数永远比0小;(3)正数大于一切负数;(4)两个负数比大小,绝对值大的反而小;(5)数轴上的两个数,右边的数总比左边的数大;(6)大数-小数 , 0,小数-大数, 0.
6.互为倒数:乘积为1的两个数互为倒数;注意:0没有倒数;若 a?0,那么 的倒数是 ;倒数是本身的数是?1;若ab=1? a、b互为倒数;若ab=-1? a、b互为负倒数.
7. 有理数加法法则:
(1)同号两数相加,取相同的符号,并把绝对值相加; (2)异号两数相加,取绝对值较大的符号,并用较大的绝对值减去较小的绝对值;
(3)一个数与0相加,仍得这个数.
8(有理数加法的运算律:
(1)加法的交换律:a+b=b+a ;(2)加法的结合律:(a+b)+c=a+(b+c).
9(有理数减法法则:减去一个数,等于加上这个数的相反数;即a-b=a+(-b).
10 有理数乘法法则:
(1)两数相乘,同号为正,异号为负,并把绝对值相乘; (2)任何数同零相乘都得零;
(3)几个数相乘,有一个因式为零,积为零;各个因式都不为零,积的符号由负因式的个数决定.
11 有理数乘法的运算律:
(1)乘法的交换律:ab=ba;(2)乘法的结合律:(ab)c=a(bc); (3)乘法的分配律:a(b+c)=ab+ac .
12(有理数除法法则:除以一个数等于乘以这个数的倒数;注意:零不能做除数, .
13(有理数乘方的法则:
(1)正数的任何次幂都是正数;
(2)负数的奇次幂是负数;负数的偶次幂是正数;注意:当n为正奇数时: (-a)n=-an或(a -b)n=-(b-a)n , 当n为正偶数时: (-a)n =an 或 (a-b)n=(b-a)n .
14(乘方的定义:
(1)求相同因式积的运算,叫做乘方;
(2)乘方中,相同的因式叫做底数,相同因式的个数叫做指数,乘方的结果叫做幂;
(3)a2是重要的非负数,即a2?0;若a2+|b|=0 ? a=0,b=0; (4)据规律 底数的小数点移动一位,平方数的小数点移动二位. 15(科学记数法:把一个大于10的数记成a×10n的形式,其中a是整数数位只有一位的数,这种记数法叫科学记数法.
16.近似数的精确位:一个近似数,四舍五入到那一位,就说这个近似数的精确到那一位.
17.有效数字:从左边第一个不为零的数字起,到精确的位数止,所有数字,都叫这个近似数的有效数字.
18.混合运算法则:先乘方,后乘除,最后加减;注意:怎样算简单,怎样算准确,是数学
计算的最重要的原则.
19.特殊值法:是用符合题目要求的数代入,并验证题设成立而进行猜想的一种方法,但不能用于证明.
整式的加减
1(单项式:在代数式中,若只含有乘法(包括乘方)运算。或虽含有除法运算,但除式中不含字母的一类代数式叫单项式.
2(单项式的系数与次数:单项式中不为零的数字因数,叫单项式的数字系数,简称单项式的系数;系数不为零时,单项式中所有字母指数的和,叫单项式的次数.
3(多项式:几个单项式的和叫多项式.
4(多项式的项数与次数:多项式中所含单项式的个数就是多项式的项数,每个单项式叫多项式的项;多项式里,次数最高项的次数叫多项式的次数;注意:(若a、b、c、p、q是常数)ax2+bx+c和x2+px+q是常见的两个二次三项式. 5(整式:凡不含有除法运算,或虽含有除法运算但除式中不含字母的代数式叫整式.
整式分类为: .
6(同类项:所含字母相同,并且相同字母的指数也相同的单项式是同类项.
7(合并同类项法则:系数相加,字母与字母的指数不变. 8(去(添)括号法则:去(添)括号时,若括号前边是“+”号,括号里的各项都不变号;若括号前边是“-”号,括号里的各项都要变号.
9(整式的加减:整式的加减,实际上是在去括号的基础上,把多项式的同类项合并.
10.多项式的升幂和降幂排列:把一个多项式的各项按某个字母的指数从小到大(或从大到小)排列起来,叫做按这个字母的升幂排列(或降幂排列).注意:多项式计算的最后结果一般应该进行升幂(或降幂)排列.
一元一次方程
1(等式与等量:用“=”号连接而成的式子叫等式.注意:“等量就能代入”~
2(等式的性质:
等式性质1:等式两边都加上(或减去)同一个数或同一个整式,所得结果仍是等式;
等式性质2:等式两边都乘以(或除以)同一个不为零的数,所得结果仍是等式.
3(方程:含未知数的等式,叫方程.
4(方程的解:使等式左右两边相等的未知数的值叫方程的解;注意:“方程的解就能代入”~
5(移项:改变符号后,把方程的项从一边移到另一边叫移项.移项的依据是等式性质1.
6(一元一次方程:只含有一个未知数,并且未知数的次数是1,并且含未知数项的系数不是零的整式方程是一元一次方程.
7(一元一次方程的标准形式: ax+b=0(x是未知数,a、b是已知数,且a?0).
8(一元一次方程的最简形式: ax=b(x是未知数,a、b是已知数,且a?0).
9(一元一次方程解法的一般步骤: 整理方程 ?? 去分母 ?? 去括号 ?? 移项 ?? 合并同类项 ?? 系数化为1 ?? (检验方程的解). 10(列一元一次方程解应用题:
(1)读题分析法:???? 多用于“和,差,倍,分问题” 仔细读题,找出表示相等关系的关键字,例如:“大,小,多,少,是,共,合,为,完成,增加,减少,配套-----”,利用这些关键字列出文字等式,并且据题意设出未知数,最后利用题目中的量与量的关系填入代数式,得到方程.
(2)画图分析法: ???? 多用于“行程问题”
利用图形分析数学问题是数形结合思想在数学中的体现,仔细读题,依照题意画出有关图形,使图形各部分具有特定的含义,通过图形找相等关系是解决问题的关键,从而取得布列方程的依据,最后利用量与量之间的关系(可把未知数看做已知量),填入有关的代数式是获得方程的基础.
11(列方程解应用题的常用公式:
(1)行程问题: 距离=速度?时间
(2)工程问题: 工作量=工效?工时
(3)比率问题: 部分=全体?比率
(4)顺逆流问题: 顺流速度=静水速度+水流速度,逆流速度=静水速度-水流速度;
(5)商品价格问题: 售价=定价?折? ,利润=售价-成本, ; (6)周长、面积、体积问题:C圆=2πR,S圆=πR2,C长方形=2(a+b),S长方形=ab, C正方形=4a,
S正方形=a2,S环形=π(R2-r2),V长方体=abc ,V正方体=a3,V圆柱=πR2h ,V圆锥= πR2h.