本文就椭圆上一动点到对称轴上一定点的最短距离问题为例 ,谈谈自己上“研究性学习课”的思路和方法 .例题　椭圆的对称轴为坐标轴 ,短轴两端点与右焦点 F构成正三角形 ,且椭圆上的点至 F的最短距离为 2 - 3,求此椭圆方程 .思考途径　由已知所求椭圆是中心在原点的标准方程 ,且 In this paper, the shortest distance between a moving point on the ellipse and a certain point on the axis of symmetry is taken as an example to talk about the ideas and methods of “research learning class”. The axis of symmetry of the example ellipse is the coordinate axis, and the two ends of the short axis and the right focus. F constitutes an equilateral triangle, and the shortest distance from the point on the ellipse to F is 2 - 3, find this elliptic equation. The way to think from the known ellipse is the standard equation of the center at the origin, and