[启发] 正三角形是最常见的图形之一。容易证明以圆上任一点为一个顶点,可作圆的内接正三角形;还可以证明,以抛物线上任一点为一个顶点也可作抛物线的内接正三角形。那么,以椭圆上上任一点为一个顶点可否作椭圆的内接正三角形呢? [猜想] [Inspired] The regular triangle is one of the most common graphics. It is easy to prove that taking any point on a circle as a vertex can make a circle inscribed into a regular triangle; it can also be proved that taking a point on a parabola as a vertex can also be used as a parabolic inscribed regular triangle. Is it possible to make an elliptic inscribed equilateral triangle with a vertex at any point on the ellipse? [Conjecture]