在三角形、四边形这两章的学习中我们经常会碰到线段的相等关系、和差关系、倍数关系的推理题,但圆中涉及到线段倍数关系的题目并不是很多,本文主要通过一道例题的分析,给出几种解题的策略,供同学们参考.例如图1,点A、B、C、D在⊙O上,AC⊥BD与点E,过点O作OF⊥BC于点F.求证:(1)△AEB∽△OFC; In the learning of these two chapters of triangle and quadrangle, we often encounter the equal relation of the line segments, and the reasoning of the relationship of difference and multiples, but there are not many problems in the circle concerning the relationship between the multiple of line segments. In this paper, For example, in Figure 1, point A, B, C, D on ⊙O, AC ⊥ BD and point E, O point O for OF ⊥ BC at point F Proof: (1) △ AEB∽ △ OFC;