摘要
统一证明涉及三角形内部一动点的两个猜想不等式,比较其与已知不等式的强弱关系,然后提出五个相关的猜想.最后运用已知不等式简证Erdos-Mordell不等式.
In this article, using the same way, the proof of the two conjectures which involve a movingpoint in the triangular interior are given, comparing with the known inequalities five conjectures was brought forward. In the end, a simple proof of the Erdos - Mordell's inequality is given.
出处
《怀化学院学报》
2005年第5期71-75,共5页
Journal of Huaihua University
关键词
三角形
不等式
动点
猜想
重心坐标
triangle
inequality
moving - point
conjecture
barycentric coordinates