文[1]中介绍了如下一个经典的几何不等式:命题P是△ABC的一个内点,D、E、F分别是P与A、B、C的连线和对边的交点,则S_(△DEF)≤1/4 S_(△ABC).本文对其作如下推广:推广P是△ABC的一个内点,D、E、F分别是P与A、B、C的连线和对边的交点,分别记 A classical geometric inequality is introduced in [1] as follows: proposition P is an inner point of △ ABC, D, E and F are the intersection of P and A, B and C, respectively, and S_ ΔDF) ≤1 / 4S_ (ΔABC). In this paper, it is generalized as follows: generalization P is an interior point of △ ABC, and D, E and F are the connection and the opposite edge of P, A, B and C respectively The intersection, respectively, remember