关于旋轮线的教学实践与探索

Practice and Exploration in Teaching Cycloid

给出关于旋轮线的一个教学案例,借助几何直观和数形结合引入旋轮线的参数方程,采用启发式教学原则设置情景模式并给出旋轮线的性质,引用数学史介绍旋轮线的应用价值.

A teaching case about the cycloid is presented. The parameter equation of the cycloid is introduced by the geometrical intuition and symbolic-graphic combination. The properties are given by means of the elicitation teaching and the scene setting. Significances of applications in the history are also included.