法向量教学的补充与完善

高中立体几何教学中,法向量的引入,虽然帮助了师生找到解决综合推理复杂的部分几何问题的代数途径,但是没有相应的量化解决过程,若要探寻其过程和方法,需要在建立空间直角坐标系的前提下,补充相关求直线和平面所成角;求点到平面的距离;求体积;求二面角大小等内容,使得法向量及其应用形成一个较为完整的知识结构是至关重要的。

The Supplement and Consummate of Method Vector Teaching

In sentor solid geometry teaching,although the in-take of method vector helps teachers and students find out the algebra route which solves the comprehensive reasoning complicated parts of the problems of geometry,yet it doesn't have relative solving process,if one wants to do research into its process and ways,he needs to set up a premise of space right angle coordinate axis in order to add to the angle which is related to the struight line and plane to evaluate the distance from the point to the plane to evaluate the volumme and the result of dihedral angel and so on.Therefore,it is important to make method vector and its usage form a relatively perfect knowledge structure.