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问题: 已知1+x与1-y互为倒数,且x、y均为非零有理数,则1/x-1/y=

解答:

-1

1 + x = 1 / (1 - y) ====>
1 + x - y - xy = 1 ====>
xy = x - y ====>
1 = 1/y - 1/x ====>
1/x - 1/y = -1