初二整式的除法练习题含答案

第一篇：初二整式的除法练习题含答案

初二《整式的除法》习题

一、选择题

1．下列计算正确的是（）A.a6÷a2=a3 B.a+a4=a5 C.（ab3）2=a2b6 D.a-（3b-a）=-3b

2．计算：(-3b3)2÷b2的结果是（）A.-9b

4B.6b4

C.9b

3D.9b4

3．“小马虎”在下面的计算中只做对一道题，你认为他做对的题目是（）A.（ab）2=ab

2B.（a3）2=a6

C.a6÷a3=a2

D.a3•a4=a12 4．下列计算结果为x3y4的式子是（）A.（x3y4）÷（xy）B.（x2y3）•（xy）C.（x3y2）•（xy2）D.（-x3y3）÷（x3y2）

5．已知(a3b6)÷(a2b2)=3，则a2b8的值等于（）A.6

B.9

C.12

D.81 6．下列等式成立的是（）A.（3a2+a）÷a=3a B.（2ax2+a2x）÷4ax=2x+4a C.（15a2-10a）÷（-5）=3a+2 D.（a3+a2）÷a=a2+a

二、填空题

7．计算：(a2b3-a2b2)÷(ab)2=_____．

8．七年级二班教室后墙上的“学习园地”是一个长方形，它的面积为6a2-9ab+3a，其中一边长为3a，则这个“学习园地”的另一边长为_____．

9．已知被除式为x3+3x2-1，商式是x，余式是-1，则除式是_____． 10．计算：(6x5y-3x2)÷(-3x2)=_____．

三、解答题

11． 三峡一期工程结束后的当年发电量为5.5×109度，某市有10万户居民，若平均每户用电2.75×103度．那么三峡工程该年所发的电能供该市居民使用多少年？(结果用科学记数法表示)

12．计算．

(1)(30x4-20x3+10x)÷10x

(3)(6an+1-9an+1+3an-1)÷3an-1．

(2)(32x3y3z+16x2y3z-8xyz)÷8xyz

13．若(xm÷x2n)3÷x2m-n与2x3是同类项，且m+5n=13，求m2-25n的值．

14．若n为正整数，且a2n=3，计算(3a3n)2÷(27a4n)的值．

15．一颗人造地球卫星的速度是2.6×107m/h，一架飞机的速度是1.3×106m/h，人造地球卫星的速度飞机速度的几倍？

参考答案

一、选择题

1．答案：C 解析：【解答】A、a6÷a2=a4，故本选项错误； B、a+a4=a5，不是同类项不能合并，故本选项错误； C、（ab3）2=a2b6，故本选项正确；

D、a-（3b-a）=a-3b+a=2a-3b，故本选项错误． 故选C．

【分析】根据同底数幂的除法，底数不变指数相减；合并同类项，系数相加字母和字母的指数不变；积的乘方，把每一个因式分别乘方，再把所得的幂相乘，对各选项计算后利用排除法求解． 2．答案：D 解析：【解答】（-3b3）2÷b2=9b6÷b2=9b4．故选D．

【分析】根据积的乘方，等于把积中的每一个因式分别乘方，再把所得的幂相乘；单项式相 除，把系数与同底数幂分别相除作为商的因式，对于只在被除式里含有的字母，则连同它的 指数作为商的一个因式，计算即可． 3．答案：B

解析：【解答】A、应为（ab）2=a2b2，故本选项错误； B、（a3）2=a6，正确；

C、应为a6÷a3=a3，故本选项错误； D、应为a3•a4=a7，故本选项错误． 故选B．

【分析】根据积的乘方，等于把积的每一个因式分别乘方，再把所得的幂相乘；幂的乘方，底数不变指数相乘；同底数幂相除，底数不变指数相减；同底数幂相乘，底数不变指数相加；对各选项分析判断后利用排除法求解． 4．答案：B

解析：【解答】A、（x3y4）÷（xy）=x2y3，本选项不合题意； B、（x2y3）•（xy）=x3y4，本选项符合题意； C、（x3y2）•（xy2）=x4y4，本选项不合题意； D、（-x3y3）÷（x3y2）=-y，本选项不合题意，故选B 【分析】利用单项式除单项式法则，以及单项式乘单项式法则计算得到结果，即可做出判断． 5．答案：B

解析：【解答】∵（a3b6）÷（a2b2）=3，即ab4=3，∴a2b8=ab4•ab4=32=9． 故选B．

【分析】单项式相除，把系数和同底数幂分别相除，作为商的因式，对于只在被除式里含有的字母，则连同它的指数一起作为商的一个因式，利用这个法则先算出ab4的值，再平方． 6．答案：D 解析：【解答】A、（3a2+a）÷a=3a+1，本选项错误； B、（2ax2+a2x）÷4ax=x+a，本选项错误； C、（15a2-10a）÷（-5）=-3a2+2a，本选项错误； D、（a3+a2）÷a=a2+a，本选项正确，故选D 【分析】A、利用多项式除以单项式法则计算得到结果，即可做出判断； B、利用多项式除以单项式法则计算得到结果，即可做出判断； C、利用多项式除以单项式法则计算得到结果，即可做出判断； D、利用多项式除以单项式法则计算得到结果，即可做出判断．

二、填空题

7．答案：b-1 解析：【解答】（a2b3-a2b2）÷（ab）2=a2b3÷a2b2-a2b2÷a2b2=b-1．

【分析】本题是整式的除法，相除时可以根据系数与系数相除，相同的字母相除的原则进行，对于多项式除以单项式可以是将多项式中的每一个项分别除以单项式． 8．答案：2a-3b+1 解析：【解答】∵长方形面积是6a2-9ab+3a，一边长为3a，∴它的另一边长是：（6a2-9ab+3a）÷3a=2a-3b+1． 故答案为：2a-3b+1．

【分析】由长方形的面积求法可知由一边乘以另一边而得，则本题由面积除以边长可求得另一边．

9．答案：x2+3x

解析：【解答】[x3+3x2-1-（-1）]÷x=（x3+3x2）÷x=x2+3x．

【分析】有被除式，商及余数，被除式减去余数再除以商即可得到除式． 10．答案：-2x3y+1 解析：【解答】（6x5y-3x2）÷（-3x2）=6x5y÷（-3x2）+（-3x2）÷（-3x2）=-2x3y+1． 【分析】利用多项式除以单项式的法则，先用多项式的每一项除以单项式，再把所得的商相加计算即可．

三、解答题

11．答案：2×10年

解析：【解答】该市用电量为2.75×103×105=2.75×108（5.5×109）÷（2.75×108）=（5.5÷2.75）×109-8=2×10年． 答：三峡工程该年所发的电能供该市居民使用2×10年．

【分析】先求出该市总用电量，再用当年总发电量除以用电量；然后根据同底数幂相乘，底数不变指数相加和同底数幂相除，底数不变指数相减计算．

12．答案：（1）3x3-2x2+1；（2）4x2y2+16xy2-1；（3）（-3an+1+3an-1）÷3an-1=-3a2+1． 解析：【解答】（1）（30x4-20x3+10x）÷10x=3x3-2x2+1；（2）（32x3y3z+16x2y3z-8xyz）÷8xyz=4x2y2+16xy2-1；

（3）（6an+1-9an+1+3an-1）÷3an-1=（-3an+1+3an-1）÷3an-1=-3a2+1． 【分析】（1）根据多项式除以单项式的法则计算即可；（2）根据多项式除以单项式的法则计算即可；

（3）先合并括号内的同类项，再根据多项式除以单项式的法则计算即可． 13．答案：39．

解析：【解答】（xm÷x2n）3÷x2m-n=（xm-2n）3÷x2m-n=x3m-6n÷x2m-n=xm-5n 因它与2x3为同类项，所以m-5n=3，又m+5n=13，∴m=8，n=1，所以m2-25n=82-25×12=39．

【分析】根据同底数幂相除，底数不变指数相减，对（xm÷x2n）3÷x2m-n化简，由同类项的定义可得m-5n=2，结合m+5n=13，可得答案． 14．答案：1 解析：【解答】原式=9a6n÷（27a4n）=∵a2n=3，∴原式=【分析】

先进行幂的乘方运算，然后进行单项式的除法，最后将a2n=3整体代入即可得出答案． 15．答案：20．

解析：【解答】根据题意得：（2.6×107）÷（1.3×106）=2×10=20，则人造地球卫星的速度飞机速度的20倍． 【分析】根据题意列出算式，计算即可得到结果．

×3=1．

a2n，

第二篇：初二数学整式除法测试题(含答案)

初二数学整式除法测试题(含答案)

查字典数学网小编为大家整理了初二数学整式除法测试题，希望能对大家的学习带来帮助！

整式除法和因式分解

知识点1：同底数幂的除法

法则：aman=am-n(a0，m,n都是正整数，且mn)

规定：a0=1(a0)

学习运算法则时注意：

A：因为零不能作除数，所以底数不能为0;

B：底数可以是单项式，也可以是多项式;

C：多个同底数幂相除，应按顺序求解

配套练习 1.计算：a7a=__________;(ab)12(ab)4=______;(a+b)10(a+b)5=_________

X7x2=___________;(a-b)12(a-b)4=_______________ 2.计算：(a-b)11(b-a)10+(-a-b)5(a+b)4(a-b)15(a-b)5(b-a)8

(-a11)3(-a)17(-a3)2a8(-a16)2(-a15)(-a3)2a8

3.变式练习：已知2m=7,2n=5,求4m-n的值。

4.计算;(x-y)12(y-x)11+(-x-y)3(x+y)2

知识点2：单项式，多项式除以单项式

用单项式或多项式除双被除数的单项式，再把所得的结果相加

5.a3x4 a2x________;45a5b3(-9a2b)________;(-2x4y2)3(-2x3y3)2_________;

6.xm+n(-2xmyn)(3xmyn)27x5y3z(-9x2y)(-2a2y2)3(-3ay2)3

7.(9a3b2-12a2b+3ab)(-3ab)(-0.25a3b2-a4b3+ a3b)(-0.5a3b)

[(a+b)5-(a+b)3](a+b)3[(a+b)(a-b)-(a-b)2](a-b)

8先化简再求值[(2b-a)(3a+2b)-(a+2b)2](-a),其中a=2,b=

9.综合应用：已知8a=32,8b=0.5,求3a3b

10.解不等式：(-3)7(2x-1)(-3)8(1-x)11.解关于X的方程(x-5)x-2=1

12.计算：[2x(y-1)5-3x2(y-1)4+6x3(y-1)3][-2x(y-1)3]

知识点3：因式分解

因式分解方法：提公因式法，运用公式法，十字相乘法，分组分解法。

13.分解因式：75a3b5-25a2b4=_________;-12x4y2-8x4y-2x3y=_______;a3b2-a2b3=______

14.分解因式：a2-4b2=_________;16x2-25y2=______;(a+m)2-(a+n)2=___________

15.分解因式：4a2+12ab+9b2=________;

分解因式

16.5a(a-2b)-10b(2b-a)17:-5(x-y)3-15(x-y)2+10(x-y)18:22018-22018

19:5a(a-2b)2-10b(2b-a)220:4(x-y)3-(y-x)221:a4-6a2+9

22:3ax2+6ax+3a23:4a3b-25ab324:x2+3x+2

25:x2+2x-1526:x2-3x-2827:x2+21x+80

28:2x3+4x2-6x29:x2-(k+3)x+(k+2)30:(m2-1)(n2-1)+4mn

因式分解综合练习

31：求证：257+513是30的倍数

32：已知a+b=2,求 的值

33：已知 求ab的值

三角形三边长度满足 ,判断三角形ABC的形状。

35：已知(2018-b)(2009-b)=2018,求(2018-b)2+(2009-b)2的值

36：已知a2+10ab+25b2与|b-2|互为相反数，求a+b的值 37：对于二次三项式x2-10x+36，小明同学作出如下结论：无论x取何值时，它的值都不可能等于11.你同意他的看法吗?说明你的理由。

第三篇：整式除法

《整式除法》集体备课

一、学习任务分析

整式的除法分两节课完成，本节课是第一课时的教学，主要内容是单项式与单项式的除法及其法则的探索过程。让学生在自我探索的基础上理解、掌握单项式除法的法则。

二、学生情况分析

由于前面学生已经学习过同底数幂的除法，它是一类简单的除法。引本节课的引题就是从这类简单的单项式的除法运算开始，由简到难。同时，对单项式的除法法则的理解类比分数的约分，从已知过渡到未知，学生易理解，由乘法与除法的互逆关系，类比单项式的乘法法则理解单项式的除法法则也是一个途径，在讲授时给学生作适当提醒，发展他们在数学学习中的类比 三．地位和作用

整式的除法包括单项式除以单项式和多项式除以单项式，是在学生学习了整式的加减、同底数幂的除法、整式的乘法基础上，对整式的除法运算进行探索和研究的一个重要课题，是学生完整、全面掌握整式运算的必备环节。不论是在知识的衔接上，还是在学习方法与能力的迁移上，本节课的教学都起重要的奠基作用 四．教学目标 【知识目标】

①理解和掌握单项式的除法法则；

②会运用法则正确、熟练地进行整式除法的运算； 【能力目标】

①经历探索整式除法运算法则的过程，增强学生的学习体验； ②通过法则的总结，培养和发展学生有条理的思考及表达能力；

【情感目标】

①激发学生的求知欲，培养学生积极思考的学习习惯；

②关注学生的学习体验和认知程度，让学生感知并享受自己的成功，增强学习兴趣和自信心。五．教学重点，难点

①重点：单项式的除法法则。

②难点：单项式的除法法则的熟练运用。

（在计算过程中，既要对系数进行计算，又要对相同字母进行指数计算，同时对只在一个单项式中出现的幂加以注意。这对于刚接触整式除法的初一学生来讲，难免会出现计算错误或漏算等照看不全的情况。）

六．教法设计

数学教学是数学活动的教学，是师生交流、互动、共同发展的过程。学生是学习的主体，教师是学生学习的组织者、引导者和合作者。本节课的教学，我选择师生互动式的教学方式，从学生的学习经验和已有的知识背景、思维方式出发，向他们提供充实的数学活动，通过自主探索、观察类比、合作交流、总结概括等教学活动，使学生获得深刻的体验和经验，深化学生的认知程度，真正理解和掌握单项式除以单项式的运算法则，逐步提高熟练程度，夯实基础知识，提高运算能力。针对本节课的内容特点和初一学生的思维特征，本节课的总体教法设计思路为：

1、注重引导，激发思维，加深体验；

2、师生共同概括总结，形成认知；

3、加强针对性练习，巩固和强化认知；

七、说教学设计：

本节课设计了八个教学环节：：复习回顾、情境引入、探究新知、对比学习、例题讲解、课堂练习、知识小结、布置作业.1、复习回顾

同底数幂的除法是学习整式除法的理论基础，只有熟练掌握同底数幂 的除法，才能更好的进行整式除法的学习.此外，复习单项式乘以单项式法则，是为了对比学习单项式除以单项式法则，比较其相似与不同，并能将前后知识融 为一体，使之形成一定的知识体系.2、情境引入

本题在介绍生活常识的同时，提出一个极具趣味性的问题，学生可能通过以前学习的知识得到答案，但并不能利用新知识解决问题，从而激发学生强烈的求知欲和好奇心，引入新课的学习.从中也使学生进一步体会，数学来源于生活并作用于生活.3、探究新知

通过让学生经历观察、计算、推理、想象等探索过程，获得数学活动的经验；发散学生思维，让学生尽可能用多种方法来说明自己计算的正确性，培养学生合情说理的能力；并在这个过程中，培养学生总结归纳知识的能力.4、对比学习：

通过对比学习的方式比较单项式乘以单项式法则与单项式除以单项法则，观察其相似与不同，便于学生更好地掌握整式除法运算，并将本章的前后知识有机的联系起来，使之形成一个完整的知识框架。

5、例题讲解

通过学习例1，巩固单项式除以单项式法则，提高学生的计算能力.通过学习做一做，提高学生解决实际问题的能力.此处要给学生充分的时间去独立思考，鼓励学生独立完成问题.例1中的（3）（4）要提醒学生计算时需要注意的问题，一要注意运算顺序，二是当底数是多项式时，把该多项式看成一个整体

6、课堂练习：

完成随堂练习，进一步巩固落实单项式除以单项式；解决情景引入问题，将课前疑问解决，提高学生解决实际问题的能力.计算题在保证正确率的前提下，应提高计算速度；应用题的解题过程力求准确规范；课堂练习应由学生独立完成.7.知识小结

学生畅谈自己学习所得的新知识与个人切身体会，教师予以鼓励，激发学生的学习兴趣与自信心，尤其是对探究方法和数学学习方法的总结和升华对学生今后的数学学习会有很大的帮助.8.布置作业

1.基础作业：教材习题1.13知识技能

1，2，5 2.拓展作业：在一次水灾中，大约有2.5×105个人无家可归.假若一顶帐篷占地100 m2，可以安置40个床位，为了安置所有无家可归的人，需要多少顶帐篷？这些帐篷大约占多大地方？估计你学校的操场可以安置多少人？要安置这些人，大约要多少个这样的操场？

落实本节课所学习的知识内容，提高学生的计算能力.

第四篇：初二英语完形填空练习题(含答案)

1、Mark lived in a village far away.One day he became very ill and everyone thought he would 1____

soon.They sent for a doctor.Two days 2_____ the doctor came and looked over the sick man.3____ asked for a pen and some paper to write down the name of the medicine.But there was no pen 4______ paper in the village, because no one could write.The doctor

5_____ up a piece of burnt wood from the fire and wrote the name of the medicine on the 6______ of the house.“ Get this medicine for him.” he said, “and he will soon get 7_____.” Mark’s family and friends did not know

8_____ to do.They could not read the strange words.Then a young man

9_____ an idea.He took off the door of the house, put it on his carriage(马车)and drove to the nearest 10.He bought the medicine there, and Mark was soon well again.（）1.A.wake B.cry C.moved D.die（）2.A.late

B.later C.ago D.before（）3A.The sick man B.Mark C.The doctor D.The farmer（）4.A.and

B.or

C.then D.also（）5.A.picked B.held C.made D.looked（）6.A.wall

B.window C.ground D.door（）7.A.well

B.worse C.bad D.good（）8.A.when B.what C.where D.whick（）9A.thought B.hit

C.caught D.had（）!0.A.shop B.farm C.hospital D.village

2、Peter and Mike were in 1____ class．Peter was born in a 2_____ family．But Mike’s father was a businessman(商人)and got 3_____ money．When Peter got into trouble(困难)he always helped him．

Peter liked to have sports．He was good at 4_____ ．He ran 5____ than any others in their class It was Sunday．Mike and Peter went to a forest to have a picnic．Mike took a lot of food there．It was a 6___ ay．The birds were singing and there were all kinds of flowers．They ate and drank then went 7___ in the river．They had a good time．Suddenly they heard a great noise．They found it was a tiger behind a big tree．They were both very 8______ ．Peter put on his shoes quickly and was going to run away．Mike stopped him and said：”It’s no use for us．The tiger runs 9____ faster than us．Let’s find a way．”“It doesn’t matter．”said Peter．”I’m 1 0___ I'll run faster than you．”

1．A．same

B．different

C．difference

D．the same 2．A．rich

B．happy

C．poor

D．bad 3．A．many

B．lot

C．any

D．much 4．A．ran

B．running

C．run

D．runs 5．A．fast

B．faster

C．fastest

D．best 6．A．sun

B．rain

C．rained

D．sunny 7．A．fish

B．to fishing

C．fishing

D．fished 8．A．happy

B．afraid

C．sad

D．exciting 9．A．more

B．much

C．many

D．1ittle 10．A．afraid

B．worried

C．sure

D．glad

3、根据短文内容在A、B、C、D四个选项中选出可以填入空白处的最佳答案（10分）

We were going to play a team from a country school.They didn’t come 1 the match nearly began.They looked 2 than we thought.The wore dirty T-shirts and blue jeans and looked like farm boys.We thought they 3 saw a basketball before.We felt that we didn’t 4 any practice to play with such a team.It was very late so they couldn’t have any time to practice.The match began ,one of our boys 5 the ball and he tried to give it to another one.But from out of nowhere a boy in a T-shirt 6 the ball and he quickly and beautifully got the ball into our basket and had two points.They 7 us.They had another two points in a minute.Soon it was all over.The country team 8 the match.Of course we knew that there was still another team 9 than any good team.But the important lesson we learn this time was : One can’t tell a man or a team by the 10.（）

1、A.when

B.so

C.until

D.at（）

2、A.stronger

B.younger

C.worse

D.better（）

3、A.never

B.often

C.sometimes

D.always（）

4、A.have

B.make

C.use

D.need（）

5、A.got

B.played

C.took

D.carried（）

6、A.caught

B.changed

C.held

D.stopped（）

7、A.surprised

B.frightened

C.admired

D.smiled（）

8、A.lost

B.won

C.got

D.had（）

9、A.worse

B.less

C.better.D more（）

10、A.T-shirt

B.appearance

C.name

D.points

4、初二完形填空练习题

Mary has some friends.1 Betty, Peter, Alice 2 Mike.Mary is the oldest 3.Betty is thirteen years 4.She is younger than Mary and older than Peter.Alice is nice and Mike is seven.Betty and Peter are 5 runners.But Peter runs faster.Mary and Betty like to 6.Mary plays better than Betty.Alice sings 7 of them.Mary and Betty study in a middle school.Alice and Mike study in a primary school.They 8 work hard at school.But Betty works 9.Her handwriting is good, 10.1.A.They are B.It isC.There are D.We are 2.A.but B.orC.them D.and 3.A.in the five B.of fiveC.of the five D.for the five 4.A.older B.oldC.oldest D.very old 5.A.best B.betterC.well D.good 6.A.play basketball B.play a basketball C.play the basketball D.play basketballs 7.A.good B.betterC.best D.well 8.A.six B.allC.four D.both 9.A.hard B.harderC.very hard D.hardest 10.A.too B.twoC.at D.also

5、Perhaps you have heard _1 __about the Internet, but what is it?

The Internet is many different networks around the world.A network is a group of computers put together.These networks joined together are called the Internet._2 that doesn't sound interesting.But _3 we've joined the Internet, there are 4 things we can do.We can have a lot of 5 on the World Web.(www.xiexiebang.coming smaller and smaller.People can now work at home with a computer in front, getting and sending the information they need.They can buy or sell whatever they want by the Internet.But do you know 98% of the information is 10 English? So what will English be like tomorrow? 1.A.a lot of

B.a lot

C.a few

D.a little of 2.A.May

B.But

C.And

D.Maybe 3.A.where

B.when

C.however

D.although 4.A.lots of

B.a lot

C.much

D.few 5.A.interesting B.friends C.interest

D.funny 6.A.find

B.look for

C.find out D.look after 7.A.with

B.for

C.on

D.about 8.A.with

B.by

C.on

D.for 9.A.call

B.called

C.calls

D.calling 10.A.on

B.with

C.in

D.for

6、Life in the year 3044 is very different 46 life in the 21st century.We still do many of the things you did, but we do them 47.For example, we now have e-friends to help us and keep us company.An e-friend is a machine that looks just 48 a human being.It can walk and talk and can do almost 49

we human beings do.My e-friend is a lot like me and we have

fun together.She helps me 51 my homework and we often go swimming.She is programmed to take care of me if anything 52 , so I always feel safe when we are together.She can also send me messages, just like old-fashioned e-mail, and I can download information from her memory.It’s great 53 an e-friend – I am never lonely and I always have someone to talk 54.I would like to tell you more about life in the year 3044, but I have to send my e-friend to clean up my room.Maybe 55 I will be able to travel back in time and visit you.46.A.of

B.from

C.in

D.with

47.A.different

B.difference

C.differently

D.differences 48.A.like

B.for

C.at

D.up

49.A.something

B.anything

C.nothing

D.everything 50.A.many

B.a number of

C.a lot of

D.the number of 51.A.with

B.at

C.on

D.doing

52.A.will happen

B.happens

C.happened

D.is going to happen 53.A.have

B.having

C.to have

D.has 54.A.to

B.about

C.with

D.Both A and C

55.A.one day

B.in one day

C.after one day

D.with one day

7、A generous gap(代沟)has become a serious problem.I read a 1 about it in the newspaper.Some children have killed themselves after 2 with parents.I think this is because they don’t often have a talk with each other.Parents now 3 more time in the office, 4

they don’t have much time to stay with their children.As times passes, they both feel that they don’t have the __5 topic(题目)to talk about.I want to tell parents to be more with your 6 , get to know them and 7 them.And for children, show your 8 to your parents.They are the people who love you.So 9 them your thoughts.In this way, you 10 have a better understanding of each other.（）1.A.message

B.call

C.report

D.letter（）2.A.talk

B.argue

C.fight

D.play（）3.A.spend

B.stay

C.work

D.have（）4.A.because

B.if

C.but

D.so（）5.A.interesting

B.same

C.true

D.good（）6.A.business

B.children

C.work

D.office（）7.A.get on well with B.look after

C.understand

D.love（）8.A.interest

B.secret

C.trouble

D.feelings（）9.A.tell

B.ask

C.answer

D.say（）10.A.can

B.should

C.must

D.would

8、Grandma Li lived alone in an old building.She was old and didn’t like noise at all.The young man and woman 46 always made much noise every night, so she couldn’t 47.When the young man and woman moved out of the building, Grandma Li was very 48.Another young man moved in and Grandma Li thought, “Well, he 49.”

But at three o’clock the next morning, when Grandma Li 50 , some noise 51.She 52 carefully.It was a dog.She thought, “There wasn’t any dog here before.It 53 be the young man’s.” She 54 him and telephoned the young man at once.Before the young man could say something, she stopped the call.Nothing more happened 55 four o’clock.Then Grandma Li’s telephone rang.When she answered the phone, she heard, “I’m the man upstairs.I’m sorry to trouble you, but I want to tell you I don’t have a dog at all!” 46.A.upstairs

B.up

C.above

D.higher 47.A.get to sleep

B.sleeps

C.slept

D.falls asleep 48.A.sad

B.pleased

C.surprised

D.worried 49.A.looked quiet

B.looks quiet

C.looked quite

D.looks quite 50.A.was sleeping

B.was falling asleep

C.slept

D.was getting to sleep 51.A.woke her up

B.waked she up

C.woke up her

D.waked up she 52.A.heard

B.listened

C.was hearing

D.listened to 53.A.can

B.may

C.must

D.could 54.A.angry with

B.angrier with

C.is angry with

D.was angry with 55.A.when

B.after

C.at

D.until

9、The difference between life in one country and in

is quite often

the difference between city life and village life in

country.In an

English

everybody

everybody else;they know what time you get up, what time you go to bed and what you usually have

dinner.If you want any help, you will always

it and be glad to help

in return.In a large

city

London, there are many things to see and many places to go to.people often do not know each other.It

happens that you have

seen your next-door neighbor, don’t know his name or

about him.People living in London are often very , particularly.This is because the people who they are with all day are scattered over large areas in the evenings and weekends.you walk

the street in London on a Sunday, it is almost like an empty town.One is

for old people who do not live with their

and have no work to go to during the day.1.A.other

B.others

C.the other

D.another

2.A.not so big as

B.so big as

C.isn’t so big as

D.as big as

3.A.same

B.the same

C.different

D.different

4.A.village

B.town

C.city

D.country

5.A.needs

B.knows

C.helps

D calls

6.A.at

B.for

C.in

D.with

7.A.get

B.take

C.bring

D.pay

8.A.any other

B.any

C.anyone else

D.any people

9.A.like

B.as

C.of

D.in

10.A.So

B.Then

C.Though

D.But

11.A.good

B.well

C.better

D.best

12.A.sometimes

B.some times

C.some time

D.sometime

13.A.ever

B.had

C.never

D.been

14.A.something

B.nothing

C.everything

D.anything

15.A.lonely

B.happy

C.angry

D.tired

16.A.before work B.at work

C.after work

D.by work

17.A.If

B.After

C.Before

D.Because

18.A.in

B.through

C.to

D.across

19.A.lucky

B.happy

C.surprised

D.sorry

20.A.daughters

B.sons

C.children

D.people

10、Have you ever asked yourself why children go to school? You may 1 they go to learn languages, P.E., history, science and all other 2.But why do they learn these things? We send our children to school to prepare them for the time 3 they will grow up and will begin to work for 4.Nearly everything they study at school has some practical use in their life.But is that the 5 reason why they go to school? There is more in education than just 6 facts.We go to school above all to learn how to learn, so that then we have left school we can 7 to learn.A man who really knows how to learn will always be successful, because whenever he has to do something new which he has never had to do 8 he will rapidly teach himself how to do it 9 the best way.The uneducated person, on the other hand, is 10 unable to do something new, or does it badly.The purpose of school, therefore, is not to teach languages, math, geography, etc, but to teach pupils the way to learn.()1.A.speak

B.tell

C.say

D.talk()2.A.matters

B.subjects

C.math

D.physics()3.A.while

B.when

C.which

D.where()4.A.oneself

B.they

C.them

D.themselves()5.A.only

B.nearly

C.lone

D.alone()6.A.study

B.studied

C.learning

D.learn()7.A.make

B.keep

C.keep on

D.go on()8.A.later

B.ago

C.then

D./()9.A.from

B.in

C.with

D.on()10.A.either

B.neither

C.other

D.nor

11．完型填空

Someone says, “Time is money”, but I think time is 1 important than money.Why? Because when money is spent, we can get it back.However, when time is 2 , it’ll never 3.That is 4 we must not waste time.It goes without saying that the 5 is usually limited.Ever a second is very important.We should make full use of our time to 6 useful.But it is a pity that there are a lot of people who do not know the importance of the time.They spent their limited time smoking, drinking and 7.They do not know that wasting time means wasting part of their own 8.In a word, we should save time.We shouldn’t 9 today’s work for tomorrow.Remember we have no time to 10.()1.A.much

B.less

C.mush less D.even more()2.A.cost

B.bought

C.gone

D.finished()3.A.return

B.carry

C.take

D.bring()4.A.what

B.that

C.because

D.why()5.A.money

B.time

C.day

D.food()6.A.nothing B.something C.anything D.everything()7.A.reading B.writing

C.playing

D.working()8.A.time

B.food

C.money

D.life()9.A.stop

B.leave

C.let

D.give()10.A.lose

B.save

C.spend

D.take

1.答案：1 DBCBADABDC

2DCDBBDCBBC

3、CCADA AABCB

4、A D C B D A C B D A

5、答案 1.B 2.D 3.B 4.A 5.C 6.A 7.D 8.B 9.D 10.C

6、答案 II.46-50 BCADC

51-55 ABCDA

7、答案 四．完型填空答案：CBADB BADAD

8、答案 VI.46-50 AABBA 51-55 ABCDD

9、答案 四.DABAB, BACAD, BACDA, CABDC

10、答案 五.1-5 CBBDA

6-10 CDDBA 11、1-5

DCADB 6-10

BCDBA

第五篇：整式的除法教案

课题： 8.4 整式的除法

一、教学目标：

1、经历探索单项式除以单项式法则的过程，会进行单项式除以单项式的运算。

2、掌握单项式除以单项式的运算

3、经历探索多项式除以单项式法则的过程，会进行多项式除以单项式的运算。

4、熟练掌握多项式除以单项式的运算

二、教学重难点：

1、运用法则计算单项式除法

2、单项式除以单项式法则的探索

3、运用法则计算多项式除以单项式

4、（1）多项式除以单项式法则的探索；（2）多项式除以单项式法则的逆应用；

三、教具：PPT

四、教学过程：

1、引入新课

一、创设情境

问题：木星的质量约是1.90×1024吨，地球的质量约是5.98×1021吨，你知道木星的质量约为地球质量的多少倍吗？

如何计算：（1.90×1024）÷（5.98×1021），并说明依据。

二、合作讨论

讨论如何计算：

（1）8a3÷2a（2）6x3y÷3xy（3）12a3b3x3÷3ab

2［注：8a3÷2a就是（8a3）÷（2a）］

三、复习提问: 计算:（1）am÷m＋bm÷m（2）a÷a＋ab÷a（3）4x2y÷2xy＋2xy2÷2xy

四、合作探究，探索多项式除以单项式法则

计算：（am＋bm）÷m，并说明计算的依据

∵（a＋b）m = am＋bm ∴（am＋bm）÷m=a＋b 又am÷m＋bm÷m＝a＋b 故（am＋bm）÷m＝am÷m＋bm÷m

2、知识点讲解

知识点一：单项式除以单项式法则：

单项式相除，把系数与同底数幂分别相除，作为商的因式，对于只在被除式里含有的字母，则连同它的指数作为商的一个因式。知识点二：用语言描述上式，得到多项式除以单项式法则：

多项式除以单项式，先把这个多项式的每一项除以这个单项式，再把所2得的商相加。

3、例题分析 例1：计算

423534（1）28xy÷7xy（2）－5abc÷15ab

例2：计算下列各题

（1）（a＋b）÷（a＋b）

3324（2）［（x－y）］÷［（y－x）］（3）（－6x2y）3÷（－3xy）3

例3：计算（1）（4x2y＋2xy2）÷2xy

（3）（12a3－6a2＋3a）÷3a

例4:计算

（1）（2/5ax－0.9ax）÷3/5ax 3

433 4

2（2）（21x4y3－35x3y2＋7x2y2）÷（－7x2y）

（4）［（x＋y）2－y（2x＋y）－8x］÷2x

（2）（2/5xy－7xy＋2/3y）÷2/3y

32232

4、课堂练习

一、选择题：

1．如果（3x2y-2xy2）÷m=-3x+2y，则单项式m为（）A．xy B．-xy C．x D．-y 2．计算：[2（3x2）2-48x3+6x]÷（-6x）等于（）

A．3x-8x B．-3x+8x C．-3x+8x-1 D．-3x-8x-13．下列计算正确的是（）

A．6a2b3÷（3a2b-2ab2）=2b2-3ab B．[12a3·（-6a2）÷（-3a）=-4a2+2a C．（-xy2-3x）÷（-2x）=

432323

y2+

324

D．[（-4x2y）÷2xy2]÷2xy=-2x+y 4.下列计算正确的是（）A、(a)÷a=a B、（a）÷a=a C、（-5ab）(-2a)=10ab D、（-ab）÷5.-a6÷(-a)2的值是（）

A、-a4 B、a4 C、-a3 D、a3 6.已知8xy÷28xy=323

333

332510

212ab=-2ab

224mn227y2，那么m，n的值为()A.m=4,n=3 C.m=2,n=3

二、填空题

B.m=4,n=1 D.m=1,n=

3347．（1）a2bx3÷a2x=_________；（2）3a2b2c÷（-a2b2）=________；

（3）（a5b6-a3b2）÷ab=________；（4）（8x2y-12x4y2）÷（-4xy）=________． 8．（1）（6×10）÷（）=-2×10；（2）（）·（-3

4210

52512ax）=-5a； xy=_____+_____-1．（3）（）÷n=a-b+2c；（4）（3xy+xy-______）÷9．若-12ab÷mab=2a，则m=_______． 210.(24x3y3－6x4y3)÷(－3x2y2)=_____;(－54a5+45a4－18a2)÷(－9a2)=_____.三、解答题

11．化简：[（3x+2y）（3x-2y）-（x+2y）（5x-2y）]÷4x．

12．计算：（3an+2+6an+1-9an）÷3an-1．

13．设梯形的面积为35m2n-25mn2，高线长为5mn，下底长为4m，求上底长（m>n）．

14．一颗人造卫星的速度为2.88×104千米/时，一架喷气式飞机的速度是1.•8•×103千米/时，这颗人造卫星的速度是这架喷气式飞机的速度的多少倍？

5、课后作业 教师安排配套练习

6、教学反思

应用单项式除法法则应注意：

①系数先相除，把所得的结果作为商的系数，运算过程中注意单项式的系数饱含它前面的符号；

②把同底数幂相除，所得结果作为商的因式，由于目前只研究整除的情况，所以被除式中某一字母的指数不小于除式中同一字母的指数；

③被除式单独有的字母及其指数，作为商的一个因式，不要遗漏；

④要注意运算顺序，有乘方要先做乘方，有括号先算括号里的，同 级运算从左到右的顺序进行．