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高中数学的立体几何部分仅给出球面距离的定义而未安排例题,但是这方面的习题和日常生活中的问题是比较多的,为此,本文介绍与球面距离有关的一个重要定理,并说明其应用. 为了方便叙述,本文采用有向角,规定东经为正、西经为负、北纬为正、南纬为负,如西经120°记为-120°,南纬30°记为-30°. 定理设A、B是地球表面上的任意两点,点A的经度为θ1,纬度为(?)1,点B的经度
The three-dimensional geometry of high school mathematics only gives the definition of spherical distance but does not arrange examples. However, there are many problems in daily life and exercises. To this end, this paper introduces an important theorem relating to spherical distance, and explains Its application. In order to facilitate the description, this paper uses the directional angle, the provisions of the longitude is positive, the west is negative, the north latitude is positive, the south latitude is negative, such as the longitude 120 ° is recorded as -120 °, latitude 30 ° as - 30°. Theorem Let A and B be any two points on the surface of the Earth. The longitude of point A is θ1, the latitude is (?)1, and the longitude of point B.