一道竞赛题目的几种解法探索及引申

The Exploration and Extension About Several Solutions for one Competition Problem

通过一道竞赛几何问题的一题多解(分析法、对称法、同一法、三角法),力求说明数学竞赛应立足于课本,并从问题解决的过程和结果上初步培养学生学习数学、研究数学的能力。

In order to improve the ability of the student's solving mathematical question, we ask the student to use the textbook knowledge, and to learn the extracurricular mathematical knowledge. This paper expounds the problem using an mathematical competition problem.