资源描述
整式的除法
知识点1:同底数幂的除法
1.计算:(1)y10÷(y4÷y2) (2)[(a2)3·(a3)4]÷(-a5)2
(3)(-x)3÷(-x) (4)(x-y)7÷(y-x)6+(-x-y)3÷(x+y)2
2. 已知7x-5y-3=0,求47x÷45y的值.
3. 3.已知am=9,an=27,求a3m-2n的值.
4. 计算(-8m4n+12m3n2-4m2n3)÷(-4m2n)的结果等于__________.
5. 与单项式-3a2b的积是6a3b2-2a2b2+9a2b的多项式是__________.
知识点2:单项式除以单项式
1.计算:(1)-8a2b3÷6a2b (2)(-0.3a2bc2)÷(-ac2)
(3)(a-b)m(a-b)2·[2(b-a)]3·[(b-a)5]2÷(a-b)m
知识点3:多项式除以单项式
1.计算:(1)(a4b7-a2b6)÷(-ab3)2
(2)[(x+y)(x-y)-(x-y)2+2y(x-y)]÷4y
2. 先化简,再求值.[2x(x2y-xy2)+xy(xy-x2)]÷x2y,
其中x=2012,y=2011
练习1:
1.计算
(1)6x2÷(-2x)=_________. (2)8x6y4z÷_______=4x2y2.
(3) (xy2-4x3y2)÷(-2xy2)=_______.
(4) (4)(5a3b2+10a2b3)÷________=a+2b.
(5) ( )÷(3a2b3)=2a3b2-a2b+3.
(6) (6)[6a2b2+________+________]÷________=3a+b-1.
2.选择题
(1)下列计算,结果正确的是()
A.8x6÷2x2=4x3 B.10x6÷5x3=x3
C.(-2x2y2)3÷(-xy)3=-2x3y3D.(-xy2)2÷(-x2y)=-y3
(2)若xmyn÷x3y=4x2则()
A.m=6,n=1B.m=5,n=1 C.m=5,n=0D.m=6,n=0
(3)计算正确的是()
A.(9x4y3-12x3y4)÷3x3y2=3xy-4xy2 B.(28a3-14a2+7a)÷7a=4a2-2a+7a
C.(-4a3+12a2b-7a3b2)÷(-4a2)=a-3b+ab2 D.(25x2+15x2y-20x4)÷(-5x2)=-5-3xy+4x2
3.计算
(1)(102)3×104÷(-103)3.
(2)[(x+y)(x-y)-(x-y)2+2y(x-y)]÷4y.
(3)(12a3-6a2+3a)÷3a; (4)(21x4y3-35x3y2+7x2y2)÷(-7x2y);
(5)[(x+y)2-y(2x+y)-8x]÷2x 1
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