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既有外接圆又有内切圆的四边形叫双圆四边形 ,它有很多优美的性质和结论 ,它的边角关系已有文献进行过全面的探索。本文运用托勒密定理探求了双圆四边形外心到各边距离之和ｈ与外接圆半径Ｒ及内切圆半径ｒ之间关系 ,进而推导出Ｒ与ｒ的关系。1 双圆四边形中外心到各边的距离之
The quadrilateral with both circumscribed circles and inscribed circles is called a double-circular quadrilateral. It has many beautiful properties and conclusions, and its edge relationship has been fully explored in the literature. This paper uses Ptolemy theorem to explore the relationship between the sum of the distance h from the outer circle to the outer edge of the double circular quadrilateral, the radius of the circumscribed circle R and the radius r of the inscribed circle, and then the relationship between R and r is deduced. 1 The distance between the outer and inner sides of double circular quadrilaterals