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我们都知道,椭圆具有许多优美的性质.对于以椭圆为代表的诸多圆锥曲线问题的解决,通常都是采取由形到数的函数与方程思想,具有很强的综合性.下面笔者运用平面向量的内积对椭圆标准方程中的a~2与b~2进行诠释.给出一组性质并予以证明.
We all know that ellipses have many beautiful properties. For the solution of many conic problems represented by ellipses, we usually adopt the idea of functions and equations from the form of numbers to numbers, which is very comprehensive. The following author uses the plane vector. The internal product of the ellipse interprets a~2 and b~2 in the elliptic standard equation. A set of properties are given and proved.