x²+y²=xy,且xy≠0那么,x²y^(-2)+x^(-2)y²= x²/y² + y²/x²= (x^4+y^4)/(x²y²)= 【(x²+y²)²-2x²y²】/(x²y²)= 【(xy)²-2x²y²】/(x²y²)= (-x²y²)/(x²y²)= -1 希望你能采纳。
应该是这样做的,问一下你们老师啊1!