一个偶然的机会,笔者在学习几何画板这一功能和实用性都非常强大的软件时,作出标准图成功地印证三角形中的欧拉线后,继而又发现了三角形中的又一个三心共线问题,并以平面向量和三角函数方面的知识为工具进行了证明,下面作一个总结,供大家参考.问题如图1,△ABC的外接圆圆心为O, By chance, when I was learning Geometry Sketchpad, which was very powerful and practical, I made a standard map to successfully confirm the Euler line in the triangle, and then discovered another problem with the three hearts in the triangle. , and use the knowledge of the plane vector and trigonometric functions as a tool to prove, the following makes a summary for your reference. Problem in Figure 1, △ ABC circumcircle is O,