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对于立体几何第一章《直线和平面》.若能恰当地将空间角和空间距离作为一条线索进行总复习,对于帮助学生深入理解概念,提高解题能力无疑能起一定的作用.本文力图从一个侧面叙述这个问题. 一、空间角的计算一般地,空间角包括“直线与平面所成的角”、“两平面所成的角”、“两异面直线所成的角”等.它们是由研究空间直线与平面、两个平面、两条直线的位置关系引入的,它们可以从一个侧面反映空间图形的位置关系.由于它们都能通过平面几何中的角来定义,因此空间用可以看作是平面几何中角的概念在空间的拓广.其计算方法一般也是将空间角转化为同一平面内两相交直线所成的角来计算.
For the first chapter of the three-dimensional geometry “straight lines and planes”. If we can properly use the spatial angle and spatial distance as a clue for a total review, to help students understand concepts in depth and improve the ability to solve problems will undoubtedly play a certain role. This article will try to One side describes this problem. First, the calculation of space angles In general, the space angles include the “angle formed by a straight line and a plane”, the “angle formed by two planes”, and the “angle formed by two different straight lines”. It is introduced by studying the positional relationship between space lines and planes, two planes, and two lines. They can reflect the positional relationship of spatial graphs from one side. Since they can all be defined by the angles in plane geometry, the space can be It is regarded as the extension of the concept of the angle in plane geometry in space. Its calculation method is also generally calculated by converting the space angle into the angle formed by two intersecting lines in the same plane.