无棱二面角求解初探

On the Solution to Non-edge Dihedral Angle

二面角大小是通过二面角的平面角大小来反映的,在求解二面角的平面角大小时,要充分运用线与线、线与面、面与面之间的关系,因而它具有综合性强、灵活性大的特点,特别是求没有给出棱的二面角的平面角大小,就更加困难了。本文以命题形式讨论无棱二面角的平面角大小的几种解法并加以证明和举例。

The size of a dihedral angle is reflected by its plane angle. We should refer to the relations between line and line, line and surface and surface and surface. So, the size of a dihedral angle is very comprehensive and flexible and is even more difficult to be determined when the size of its plane angle is not given. In the form of propositions, this paper discusses several solution methods of the size of dihedral angles and proof and example are also offered.