题目内容

在下列括号内填上使等式成立的分子或分母:
(1)
2x
3y
=
(  )
6xy
=
6xy
(  )
=
100x2y2
(  )

(2)
1
a-4
=
(  )
a2-16

(3)
2a2-2ab
a-b
=
2a
(  )

(4)
2x2+2xy
x+y
=
2x
(  )

(5)1-m=-
(  )
m+1

(6)
-2x
1-2x
=
(  )
2x2-x

(7)
a2-3ab+b2
ab
=
(  )
ab
-3.
分析:利用分式的基本性质即可得到各项的结果.
解答:解:(1)
2x
3y
=
4x2
6xy
=
6xy
3y2
=
100x2y2
150xy3

(2)
1
a-4
=
a+4
a2-16

(3)
2a2-2ab
a-b
=
2a(a-b)
a-b
=
2a
1

(4)
2x2+2xy
x+y
=
2x(x+y)
x+y
=
2x
1

(5)1-m=-(m-1)=-
m2-1
m+1

(6)
-2x
1-2x
=
2x2
2x2-x

(7)
a2-3ab+b2
ab
=
a2+b2
ab
-3.
点评:此题考查了分式的基本性质,熟练掌握分式的基本性质是解本题的关键.
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