Question

（2011•天门三模）计算：x2−2x+1x2−x÷x2−12x，其中x=-[3/2]．

Answer 1

x2−2x+1

x2−x÷

x2−1

2x

=

(x−1)2

x(x−1)÷

(x−1)(x+1)

2x

=[x−1/x]×[2x

(x−1)(x+1)

=

2/x+1]；

当x=-[3/2]时，

原式=[2

−

3/2+1]=-4．