
先化简,再求值 (x/y-y/x)÷(x/y+y/x-2)÷(1+y/x)的值,其中x=1/2,y=1/3
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(x/y-y/x)÷(x/y+y/x-2)÷(1+y/x)
=(x^2-y^2)/xy ÷ (x^2+y^2-2xy)/xy ÷ (x+y)/x
=(x+y)(x-y)/xy * xy/(x-y)^2 * x/(x+y)
=x/(x-y)
=(1/2) / (1/2 - 1/3)
=3
=(x^2-y^2)/xy ÷ (x^2+y^2-2xy)/xy ÷ (x+y)/x
=(x+y)(x-y)/xy * xy/(x-y)^2 * x/(x+y)
=x/(x-y)
=(1/2) / (1/2 - 1/3)
=3
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