1、已知3x²+xy-2y²=0(x≠0,y≠0)求x/y-y/x-(x²+y²)/xy的值

问题描述:

1、已知3x²+xy-2y²=0(x≠0,y≠0)求x/y-y/x-(x²+y²)/xy的值
2、已知(a+b-c)/c=(a-b+c)/b=(-a+b+c)/c,求(a+b)(b+c)(c+a)/abc的值

(1)由3x²+xy-2y²=0得:(x+y)(3x-2y)=0x=-y或 x=2y/3x/y-y/x-(x²+y²)/xy=(x²-y²)/xy-(x²+y²)/xy=-2y²/xy=-2y/x 把 x=-y或 x=2y/3代入上式有-2y/x =2或-3所以x/y-...