二面角的两个半平面的法向量所成的角与二面角的关系

A Dihedral Angle of 2.5 Plane Normal Vector of the Angle and Dihedral Angle Relation

针对高考中求解二面角出现相当复杂、而且计算量又相当多的缺点,本文提出新的求解二面角的方法,也就是说用定位向量的方法来求解,即用二面角的两个半平面的法向量所成的角来确定二面角的大小更为简便。通过实验验证,这种方法有效而且简单易算,而且易于学生理解和掌握。

Aiming at the college entrance examination in solving dihedral appear quite complex, and its calculation quantity and considerable disadvantages, this paper put forward the new method of solving the dihedral angle,That is to say by locating vector methods to solve, namely the dihedral angle of 2.5 plane normal vector become the angle to determine the dihedral angle size is more convenient.Verified by experiments, this method is effective and easy to calculate, and easy for students to understand and master.