试论球面距离

Analysis of the Distance between the Two Points on Spherical Surface

在高中数学课本中,关于球面距离问题仅给出定义,相关概念和例题论述较少,而在高考、竞赛及实际生活中,涉及球面问题的却有许多,且有一定的难度,所以,对于高中生来说,是一个难点。为了解决这个难点,介绍一个球心角定理及其推论,然后举例说明它们的应用,其过程反映了球面距离问题的求解思路。

There is the definition of the distance between the two points on spherical surface in senior maths textbook. But the relevant concepts and examples are few. In College Entrance Examination, contest and reality, problems concerning spherical surface are common and difficult for senior students. In order to solve them, the paper introduces a theorem about a phere center angle and gives examples about how to apply it.