特别约定:满足1a2+1b2=1的椭圆x2a2+y2b2=1称为标准椭圆,以标准椭圆的中心为圆心的圆x2+y2=r2称为标准椭圆的同心圆.文[1]讨论了与标准椭圆内接,且与其同心圆外切的三角形的存在性问题.证明了:当r≤12时,不存在与标准椭圆内接的三角形,使此三角形与标准椭圆的半径为r的同心圆外 Special agreement: The ellipse x2a2+y2b2=1 satisfying 1a2+1b2=1 is called the standard ellipse, and the circle whose center is the center of the standard ellipse x2+y2=r2 is called the concentric circle of the standard ellipse. The paper [1] discusses The problem of the existence of a triangle with a standard ellipse inscribed and concentric with it, proves that when r ≤ 12, there is no triangle inscribed with the standard ellipse, so that the radius of this triangle and the standard ellipse is concentric with r outer