第一篇:初二整式的除法練習題含答案
初二《整式的除法》習題
一、選擇題
1.下列計算正確的是()A.a6÷a2=a3 B.a+a4=a5 C.(ab3)2=a2b6 D.a-(3b-a)=-3b
2.計算:(-3b3)2÷b2的結果是()A.-9b
4B.6b4
C.9b
3D.9b4
3.“小馬虎”在下面的計算中只做對一道題,你認為他做對的題目是()A.(ab)2=ab
2B.(a3)2=a6
C.a6÷a3=a2
D.a3?a4=a12 4.下列計算結果為x3y4的式子是()A.(x3y4)÷(xy)B.(x2y3)?(xy)C.(x3y2)?(xy2)D.(-x3y3)÷(x3y2)
5.已知(a3b6)÷(a2b2)=3,則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、填空題
7.計算:(a2b3-a2b2)÷(ab)2=_____.
8.七年級二班教室后墻上的“學習園地”是一個長方形,它的面積為6a2-9ab+3a,其中一邊長為3a,則這個“學習園地”的另一邊長為_____.
9.已知被除式為x3+3x2-1,商式是x,余式是-1,則除式是_____. 10.計算:(6x5y-3x2)÷(-3x2)=_____.
三、解答題
11. 三峽一期工程結束后的當年發電量為5.5×109度,某市有10萬戶居民,若平均每戶用電2.75×103度.那么三峽工程該年所發的電能供該市居民使用多少年?(結果用科學記數法表示)
12.計算.
(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與2x3是同類項,且m+5n=13,求m2-25n的值.
14.若n為正整數,且a2n=3,計算(3a3n)2÷(27a4n)的值.
15.一顆人造地球衛星的速度是2.6×107m/h,一架飛機的速度是1.3×106m/h,人造地球衛星的速度飛機速度的幾倍?
參考答案
一、選擇題
1.答案:C 解析:【解答】A、a6÷a2=a4,故本選項錯誤; B、a+a4=a5,不是同類項不能合并,故本選項錯誤; C、(ab3)2=a2b6,故本選項正確;
D、a-(3b-a)=a-3b+a=2a-3b,故本選項錯誤. 故選C.
【分析】根據同底數冪的除法,底數不變指數相減;合并同類項,系數相加字母和字母的指數不變;積的乘方,把每一個因式分別乘方,再把所得的冪相乘,對各選項計算后利用排除法求解. 2.答案:D 解析:【解答】(-3b3)2÷b2=9b6÷b2=9b4.故選D.
【分析】根據積的乘方,等于把積中的每一個因式分別乘方,再把所得的冪相乘;單項式相 除,把系數與同底數冪分別相除作為商的因式,對于只在被除式里含有的字母,則連同它的 指數作為商的一個因式,計算即可. 3.答案:B
解析:【解答】A、應為(ab)2=a2b2,故本選項錯誤; B、(a3)2=a6,正確;
C、應為a6÷a3=a3,故本選項錯誤; D、應為a3?a4=a7,故本選項錯誤. 故選B.
【分析】根據積的乘方,等于把積的每一個因式分別乘方,再把所得的冪相乘;冪的乘方,底數不變指數相乘;同底數冪相除,底數不變指數相減;同底數冪相乘,底數不變指數相加;對各選項分析判斷后利用排除法求解. 4.答案:B
解析:【解答】A、(x3y4)÷(xy)=x2y3,本選項不合題意; B、(x2y3)?(xy)=x3y4,本選項符合題意; C、(x3y2)?(xy2)=x4y4,本選項不合題意; D、(-x3y3)÷(x3y2)=-y,本選項不合題意,故選B 【分析】利用單項式除單項式法則,以及單項式乘單項式法則計算得到結果,即可做出判斷. 5.答案:B
解析:【解答】∵(a3b6)÷(a2b2)=3,即ab4=3,∴a2b8=ab4?ab4=32=9. 故選B.
【分析】單項式相除,把系數和同底數冪分別相除,作為商的因式,對于只在被除式里含有的字母,則連同它的指數一起作為商的一個因式,利用這個法則先算出ab4的值,再平方. 6.答案:D 解析:【解答】A、(3a2+a)÷a=3a+1,本選項錯誤; B、(2ax2+a2x)÷4ax=x+a,本選項錯誤; C、(15a2-10a)÷(-5)=-3a2+2a,本選項錯誤; D、(a3+a2)÷a=a2+a,本選項正確,故選D 【分析】A、利用多項式除以單項式法則計算得到結果,即可做出判斷; B、利用多項式除以單項式法則計算得到結果,即可做出判斷; C、利用多項式除以單項式法則計算得到結果,即可做出判斷; D、利用多項式除以單項式法則計算得到結果,即可做出判斷.
二、填空題
7.答案:b-1 解析:【解答】(a2b3-a2b2)÷(ab)2=a2b3÷a2b2-a2b2÷a2b2=b-1.
【分析】本題是整式的除法,相除時可以根據系數與系數相除,相同的字母相除的原則進行,對于多項式除以單項式可以是將多項式中的每一個項分別除以單項式. 8.答案:2a-3b+1 解析:【解答】∵長方形面積是6a2-9ab+3a,一邊長為3a,∴它的另一邊長是:(6a2-9ab+3a)÷3a=2a-3b+1. 故答案為:2a-3b+1.
【分析】由長方形的面積求法可知由一邊乘以另一邊而得,則本題由面積除以邊長可求得另一邊.
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,商及余數,被除式減去余數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】利用多項式除以單項式的法則,先用多項式的每一項除以單項式,再把所得的商相加計算即可.
三、解答題
11.答案:2×10年
解析:【解答】該市用電量為2.75×103×105=2.75×108(5.5×109)÷(2.75×108)=(5.5÷2.75)×109-8=2×10年. 答:三峽工程該年所發的電能供該市居民使用2×10年.
【分析】先求出該市總用電量,再用當年總發電量除以用電量;然后根據同底數冪相乘,底數不變指數相加和同底數冪相除,底數不變指數相減計算.
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)根據多項式除以單項式的法則計算即可;(2)根據多項式除以單項式的法則計算即可;
(3)先合并括號內的同類項,再根據多項式除以單項式的法則計算即可. 13.答案:39.
解析:【解答】(xm÷x2n)3÷x2m-n=(xm-2n)3÷x2m-n=x3m-6n÷x2m-n=xm-5n 因它與2x3為同類項,所以m-5n=3,又m+5n=13,∴m=8,n=1,所以m2-25n=82-25×12=39.
【分析】根據同底數冪相除,底數不變指數相減,對(xm÷x2n)3÷x2m-n化簡,由同類項的定義可得m-5n=2,結合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】
先進行冪的乘方運算,然后進行單項式的除法,最后將a2n=3整體代入即可得出答案. 15.答案:20.
解析:【解答】根據題意得:(2.6×107)÷(1.3×106)=2×10=20,則人造地球衛星的速度飛機速度的20倍. 【分析】根據題意列出算式,計算即可得到結果.
×3=1.
a2n,
第二篇:初二數學整式除法測試題(含答案)
初二數學整式除法測試題(含答案)
查字典數學網小編為大家整理了初二數學整式除法測試題,希望能對大家的學習帶來幫助!
整式除法和因式分解
知識點1:同底數冪的除法
法則:aman=am-n(a0,m,n都是正整數,且mn)
規定:a0=1(a0)
學習運算法則時注意:
A:因為零不能作除數,所以底數不能為0;
B:底數可以是單項式,也可以是多項式;
C:多個同底數冪相除,應按順序求解
配套練習 1.計算:a7a=__________;(ab)12(ab)4=______;(a+b)10(a+b)5=_________
X7x2=___________;(a-b)12(a-b)4=_______________ 2.計算:(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.變式練習:已知2m=7,2n=5,求4m-n的值。
4.計算;(x-y)12(y-x)11+(-x-y)3(x+y)2
知識點2:單項式,多項式除以單項式
用單項式或多項式除雙被除數的單項式,再把所得的結果相加
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先化簡再求值[(2b-a)(3a+2b)-(a+2b)2](-a),其中a=2,b=
9.綜合應用:已知8a=32,8b=0.5,求3a3b
10.解不等式:(-3)7(2x-1)(-3)8(1-x)11.解關于X的方程(x-5)x-2=1
12.計算:[2x(y-1)5-3x2(y-1)4+6x3(y-1)3][-2x(y-1)3]
知識點3:因式分解
因式分解方法:提公因式法,運用公式法,十字相乘法,分組分解法。
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
因式分解綜合練習
31:求證:257+513是30的倍數
32:已知a+b=2,求 的值
33:已知 求ab的值
三角形三邊長度滿足 ,判斷三角形ABC的形狀。
35:已知(2018-b)(2009-b)=2018,求(2018-b)2+(2009-b)2的值
36:已知a2+10ab+25b2與|b-2|互為相反數,求a+b的值 37:對于二次三項式x2-10x+36,小明同學作出如下結論:無論x取何值時,它的值都不可能等于11.你同意他的看法嗎?說明你的理由。
第三篇:整式除法
《整式除法》集體備課
一、學習任務分析
整式的除法分兩節課完成,本節課是第一課時的教學,主要內容是單項式與單項式的除法及其法則的探索過程。讓學生在自我探索的基礎上理解、掌握單項式除法的法則。
二、學生情況分析
由于前面學生已經學習過同底數冪的除法,它是一類簡單的除法。引本節課的引題就是從這類簡單的單項式的除法運算開始,由簡到難。同時,對單項式的除法法則的理解類比分數的約分,從已知過渡到未知,學生易理解,由乘法與除法的互逆關系,類比單項式的乘法法則理解單項式的除法法則也是一個途徑,在講授時給學生作適當提醒,發展他們在數學學習中的類比 三.地位和作用
整式的除法包括單項式除以單項式和多項式除以單項式,是在學生學習了整式的加減、同底數冪的除法、整式的乘法基礎上,對整式的除法運算進行探索和研究的一個重要課題,是學生完整、全面掌握整式運算的必備環節。不論是在知識的銜接上,還是在學習方法與能力的遷移上,本節課的教學都起重要的奠基作用 四.教學目標 【知識目標】
①理解和掌握單項式的除法法則;
②會運用法則正確、熟練地進行整式除法的運算; 【能力目標】
①經歷探索整式除法運算法則的過程,增強學生的學習體驗; ②通過法則的總結,培養和發展學生有條理的思考及表達能力;
【情感目標】
①激發學生的求知欲,培養學生積極思考的學習習慣;
②關注學生的學習體驗和認知程度,讓學生感知并享受自己的成功,增強學習興趣和自信心。五.教學重點,難點
①重點:單項式的除法法則。
②難點:單項式的除法法則的熟練運用。
(在計算過程中,既要對系數進行計算,又要對相同字母進行指數計算,同時對只在一個單項式中出現的冪加以注意。這對于剛接觸整式除法的初一學生來講,難免會出現計算錯誤或漏算等照看不全的情況。)
六.教法設計
數學教學是數學活動的教學,是師生交流、互動、共同發展的過程。學生是學習的主體,教師是學生學習的組織者、引導者和合作者。本節課的教學,我選擇師生互動式的教學方式,從學生的學習經驗和已有的知識背景、思維方式出發,向他們提供充實的數學活動,通過自主探索、觀察類比、合作交流、總結概括等教學活動,使學生獲得深刻的體驗和經驗,深化學生的認知程度,真正理解和掌握單項式除以單項式的運算法則,逐步提高熟練程度,夯實基礎知識,提高運算能力。針對本節課的內容特點和初一學生的思維特征,本節課的總體教法設計思路為:
1、注重引導,激發思維,加深體驗;
2、師生共同概括總結,形成認知;
3、加強針對性練習,鞏固和強化認知;
七、說教學設計:
本節課設計了八個教學環節::復習回顧、情境引入、探究新知、對比學習、例題講解、課堂練習、知識小結、布置作業.1、復習回顧
同底數冪的除法是學習整式除法的理論基礎,只有熟練掌握同底數冪 的除法,才能更好的進行整式除法的學習.此外,復習單項式乘以單項式法則,是為了對比學習單項式除以單項式法則,比較其相似與不同,并能將前后知識融 為一體,使之形成一定的知識體系.2、情境引入
本題在介紹生活常識的同時,提出一個極具趣味性的問題,學生可能通過以前學習的知識得到答案,但并不能利用新知識解決問題,從而激發學生強烈的求知欲和好奇心,引入新課的學習.從中也使學生進一步體會,數學來源于生活并作用于生活.3、探究新知
通過讓學生經歷觀察、計算、推理、想象等探索過程,獲得數學活動的經驗;發散學生思維,讓學生盡可能用多種方法來說明自己計算的正確性,培養學生合情說理的能力;并在這個過程中,培養學生總結歸納知識的能力.4、對比學習:
通過對比學習的方式比較單項式乘以單項式法則與單項式除以單項法則,觀察其相似與不同,便于學生更好地掌握整式除法運算,并將本章的前后知識有機的聯系起來,使之形成一個完整的知識框架。
5、例題講解
通過學習例1,鞏固單項式除以單項式法則,提高學生的計算能力.通過學習做一做,提高學生解決實際問題的能力.此處要給學生充分的時間去獨立思考,鼓勵學生獨立完成問題.例1中的(3)(4)要提醒學生計算時需要注意的問題,一要注意運算順序,二是當底數是多項式時,把該多項式看成一個整體
6、課堂練習:
完成隨堂練習,進一步鞏固落實單項式除以單項式;解決情景引入問題,將課前疑問解決,提高學生解決實際問題的能力.計算題在保證正確率的前提下,應提高計算速度;應用題的解題過程力求準確規范;課堂練習應由學生獨立完成.7.知識小結
學生暢談自己學習所得的新知識與個人切身體會,教師予以鼓勵,激發學生的學習興趣與自信心,尤其是對探究方法和數學學習方法的總結和升華對學生今后的數學學習會有很大的幫助.8.布置作業
1.基礎作業:教材習題1.13知識技能
1,2,5 2.拓展作業:在一次水災中,大約有2.5×105個人無家可歸.假若一頂帳篷占地100 m2,可以安置40個床位,為了安置所有無家可歸的人,需要多少頂帳篷?這些帳篷大約占多大地方?估計你學校的操場可以安置多少人?要安置這些人,大約要多少個這樣的操場?
落實本節課所學習的知識內容,提高學生的計算能力.
第四篇:初二英語完形填空練習題(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(馬車)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(困難)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、根據短文內容在A、B、C、D四個選項中選出可以填入空白處的最佳答案(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、初二完形填空練習題
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.tmdps.cning 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(代溝)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(題目)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
課題: 8.4 整式的除法
一、教學目標:
1、經歷探索單項式除以單項式法則的過程,會進行單項式除以單項式的運算。
2、掌握單項式除以單項式的運算
3、經歷探索多項式除以單項式法則的過程,會進行多項式除以單項式的運算。
4、熟練掌握多項式除以單項式的運算
二、教學重難點:
1、運用法則計算單項式除法
2、單項式除以單項式法則的探索
3、運用法則計算多項式除以單項式
4、(1)多項式除以單項式法則的探索;(2)多項式除以單項式法則的逆應用;
三、教具:PPT
四、教學過程:
1、引入新課
一、創設情境
問題:木星的質量約是1.90×1024噸,地球的質量約是5.98×1021噸,你知道木星的質量約為地球質量的多少倍嗎?
如何計算:(1.90×1024)÷(5.98×1021),并說明依據。
二、合作討論
討論如何計算:
(1)8a3÷2a(2)6x3y÷3xy(3)12a3b3x3÷3ab
2[注:8a3÷2a就是(8a3)÷(2a)]
三、復習提問: 計算:(1)am÷m+bm÷m(2)a÷a+ab÷a(3)4x2y÷2xy+2xy2÷2xy
四、合作探究,探索多項式除以單項式法則
計算:(am+bm)÷m,并說明計算的依據
∵(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、知識點講解
知識點一:單項式除以單項式法則:
單項式相除,把系數與同底數冪分別相除,作為商的因式,對于只在被除式里含有的字母,則連同它的指數作為商的一個因式。知識點二:用語言描述上式,得到多項式除以單項式法則:
多項式除以單項式,先把這個多項式的每一項除以這個單項式,再把所2得的商相加。
3、例題分析 例1:計算
423534(1)28xy÷7xy(2)-5abc÷15ab
例2:計算下列各題
(1)(a+b)÷(a+b)
3324(2)[(x-y)]÷[(y-x)](3)(-6x2y)3÷(-3xy)3
例3:計算(1)(4x2y+2xy2)÷2xy
(3)(12a3-6a2+3a)÷3a
例4:計算
(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、課堂練習
一、選擇題:
1.如果(3x2y-2xy2)÷m=-3x+2y,則單項式m為()A.xy B.-xy C.x D.-y 2.計算:[2(3x2)2-48x3+6x]÷(-6x)等于()
A.3x-8x B.-3x+8x C.-3x+8x-1 D.-3x-8x-13.下列計算正確的是()
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.下列計算正確的是()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的值為()A.m=4,n=3 C.m=2,n=3
二、填空題
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,則m=_______. 210.(24x3y3-6x4y3)÷(-3x2y2)=_____;(-54a5+45a4-18a2)÷(-9a2)=_____.三、解答題
11.化簡:[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]÷4x.
12.計算:(3an+2+6an+1-9an)÷3an-1.
13.設梯形的面積為35m2n-25mn2,高線長為5mn,下底長為4m,求上底長(m>n).
14.一顆人造衛星的速度為2.88×104千米/時,一架噴氣式飛機的速度是1.?8?×103千米/時,這顆人造衛星的速度是這架噴氣式飛機的速度的多少倍?
5、課后作業 教師安排配套練習
6、教學反思
應用單項式除法法則應注意:
①系數先相除,把所得的結果作為商的系數,運算過程中注意單項式的系數飽含它前面的符號;
②把同底數冪相除,所得結果作為商的因式,由于目前只研究整除的情況,所以被除式中某一字母的指數不小于除式中同一字母的指數;
③被除式單獨有的字母及其指數,作為商的一個因式,不要遺漏;
④要注意運算順序,有乘方要先做乘方,有括號先算括號里的,同 級運算從左到右的順序進行.