已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)的值已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷(x²-xy/2y)-(y-y²/xy-x)的值.
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![已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)的值已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷(x²-xy/2y)-(y-y²/xy-x)的值.](/uploads/image/z/3777308-44-8.jpg?t=%E5%B7%B2%E7%9F%A5x%26sup2%3B-2xy-3y%26sup2%3B%3D0%2C%E5%85%B6%E4%B8%AD%2Cx%2Cy%E5%9D%87%E4%B8%8D%E4%B8%BA%E9%9B%B6%2C%E6%B1%82%EF%BC%88y-x%29%C3%B7+%EF%BC%88x%26sup2%3B-xy%2F2y%EF%BC%89-%EF%BC%88y-y%26sup2%3B%2Fxy-x%29%E7%9A%84%E5%80%BC%E5%B7%B2%E7%9F%A5x%26sup2%3B-2xy-3y%26sup2%3B%3D0%2C%E5%85%B6%E4%B8%AD%2Cx%2Cy%E5%9D%87%E4%B8%8D%E4%B8%BA%E9%9B%B6%2C%E6%B1%82%EF%BC%88y-x%29%C3%B7%EF%BC%88x%26sup2%3B-xy%2F2y%EF%BC%89-%EF%BC%88y-y%26sup2%3B%2Fxy-x%29%E7%9A%84%E5%80%BC.)
已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)的值已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷(x²-xy/2y)-(y-y²/xy-x)的值.
已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)的值
已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷(x²-xy/2y)-(y-y²/xy-x)的值.
已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)的值已知x²-2xy-3y²=0,其中,x,y均不为零,求(y-x)÷(x²-xy/2y)-(y-y²/xy-x)的值.
x²-2xy-3y²=0
即(x+y)(x-3y)=0,可得
x=-y,x=3y
分别代入(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)求值
当x=-y时,(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)=2
当x=3y时,(y-x)÷ (x²-xy/2y)-(y-y²/xy-x)=-1/3