美的追求是数学发展的动力之一,当我们用美的观点去考虑对象、思考问题时,就可以形成数学思维的美学方法和解题策略,得出不寻常的美不胜收的解题方法.文[1]给出了什么样的点才使双曲线存在以其为中点的弦的一个结论,受其启发,笔者以形式美的观点探索了几个定理.定理1若直线x0xa The pursuit of beauty is one of the driving forces for the development of mathematics. When we consider objects and think about issues in the US perspective, we can form the aesthetic methods and problem solving strategies of mathematical thinking, and come up with unusual and intriguing solutions to problems. [1] ] Given what kind of point makes the hyperbola exist as a conclusion of the midpoint of the string, inspired by it, the author explores several theorems from the perspective of formal beauty. Theorem 1 If the line x0xa