平面上的点(x,y),xy/[(x+y)(x-y)]表示的几何意义.

问题描述:

平面上的点(x,y),xy/[(x+y)(x-y)]表示的几何意义.

xy/[(x+y)(x-y)]没有明显的几何意义,
不过若求xy/[(x+y)(x-y)]的取值范围,
可适当变换:当xy≠0时xy/[(x+y)(x-y)]
=xy/(x^2-y^2)=1/(x/y-y/x),
由斜率模型求y/x范围,
再求xy/[(x+y)(x-y)]的取值范围,