题目内容
写出下列等式中未知的分子或分母.
(1)
=
(ab≠0).
(2)
=
(a2≠b2).
(3)
=
=
.
(4)
=
.
(5)
=
.
(6)
=
.
(1)
| b |
| a |
| b2 |
| ( ) |
(2)
| a-b |
| a+b |
| ( ) |
| a2-b2 |
(3)
| x |
| x2+2x |
| x |
| x( ) |
| 1 |
| ( ) |
(4)
| 2-x |
| -x2+5 |
| ( ) |
| x2-5 |
(5)
| 2x2+2xy |
| x+y |
| 2x |
| ( ) |
(6)
| x2+2xy+y2 |
| x2-y2 |
| x+y |
| x-y |
| x+y |
| x-y |
分析:(1)根据分式的基本性质,分子、分母同时乘以b即可;
(2)根据分式的基本性质,分子、分母同时乘以a-b即可;
(3)将分母分解因式,然后约分即可;
(4)根据分式的基本性质,分子、分母同时乘以-1即可;
(5)根据分式的基本性质,分子、分母同时除以x+y即可;
(6)先将分式的分子与分母因式分解,再约分即可.
(2)根据分式的基本性质,分子、分母同时乘以a-b即可;
(3)将分母分解因式,然后约分即可;
(4)根据分式的基本性质,分子、分母同时乘以-1即可;
(5)根据分式的基本性质,分子、分母同时除以x+y即可;
(6)先将分式的分子与分母因式分解,再约分即可.
解答:解:(1)
=
;
(2)
=
;
(3)
=
=
;
(4)
=
(5)
=
;
(6)
=
=
.
故答案为
.
| b |
| a |
| b2 |
| ab |
(2)
| a-b |
| a+b |
| a2-2ab+b2 |
| a2-b2 |
(3)
| x |
| x2+2x |
| x |
| x(x+2) |
| 1 |
| x+2 |
(4)
| 2-x |
| -x2+5 |
| x-2 |
| x2-5 |
(5)
| 2x2+2xy |
| x+y |
| 2x |
| 1 |
(6)
| x2+2xy+y2 |
| x2-y2 |
| (x+y)2 |
| (x+y)(x-y) |
| x+y |
| x-y |
故答案为
| x+y |
| x-y |
点评:本题考查了分式的基本性质及约分,是基础知识,需熟练掌握.
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