计算下列各题:(1)[1/x−3+69−x2−x−16−2x];(2)(x+2yx+y−xy)÷(xy+2−xx−y)
1个回答

解题思路:(1)先将分式通分,再按同分母的分式相加减的法则进行计算即可;

(2)先算括号里面的,再进行分式的约分即可.

(1)[1/x−3+

6

9−x2−

x−1

6−2x];

=

2(x+3)

2(x2−9)-[12

2(x2−9)+

(x−1)(x+3)

2(x2−9),

=

2x+6−12+x2+3x−x−3

2(x2−9),

=

x2+4x−9

2(x2−9);

(2)(

x+2y/x+y−

x

y)÷(

x

y+2−

x

x−y),

=

y(x+2y)−x(x+y)

y(x+y)]÷

x(x−y)+2y(x−y)−xy

y(x−y),

=

2y2−x2

y(x+y)•

y(x−y)

x2−2y2,

=-[x−y/x+y].

点评:

本题考点: 分式的混合运算.

考点点评: 本题是计算题,比较简单,考查了分式的混合运算,要注意运算顺序.