Question

化简(1+

y

x-y

)÷

x

x2-y2

．

Answer 1

分析：首先把括号式子进行通分，然后把除法运算转化成乘法运算，进行约分化简．

解答：解：原式=（

x-y

x-y

+

y

x-y

）×

(x-y)(x+y)

x

=

x

x-y

•

(x-y)(x+y)

x

=x+y．
故答案为x+y．

点评：本题主要考查分式的化简求值，难度一般，熟练掌握通分、因式分解和约分的知识点．