仿射变换在初等几何教学中的应用

The Applications of Affine Transformation in Elementary Geometry Teaching

高等几何是高师院校数学教育专业的主干课程之一,通过实例从平行射影和仿射对应图形两个方面,说明属于高等几何内容之一的仿射变换在解决某些中学几何问题中所起到的作用,阐述高等几何与中学几何的联系和高等几何的思想方法对中学几何的教学的指导作用,使得数学教育专业的师范生能够更好地理解高等几何在实际教学中的应用。

Higher geometry is one of the main courses in the mathematics education major of the normal university. What is the link between the higher geometry and middle school geometry？ How does the thinking method of the higher geometry guide the teaching of the middle school geometry？ With the examples of parallel projection and affine correspondence graph, we give the facts of solving some questions in middle school geometry with the affine transformations in higher geometry. Finally, we wish that the students majoring mathematics education can understand the application in teaching and learning of higher geometry.