用正切代换方法证明几何不等式

Proving Geometric Inequality with the Method of Tangent Substitution

提出用正切代换方法证明三角形几何不等式和圆内接四边形不等式;给出了代换公式,诸多实例表明该方法是有效的;同时,针对正切代换方法,提出了2个待解决的问题.

The method tor proving geometric inequality m triangle ＆ round inscribed quaOxangle is bruit on the basis of tangent substitution, and the formula of tangent substitution is given. A number of examples state that the method is effective. Two outstanding questions are posed in the end based on the method of tan gent substitution.