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立体几何中,不论是求各种夹角,距离,还是证明垂直,最关键一步,也是最难的一步,就是需要用到点在某平面的射影点的位置的确定,这个问题解决后,三垂线定理,各种夹角,距离,垂直的核心本质就显现了,问题自然迎刃而解.本文就从纯几何知识视野下,在高中立体几何知识的范围内,对点在平面内的射影位置确定方法进行总结(代数计算的方法确定射影定位置不在本文讨论范围之内).确定点的射影位置有以下几种方法:
Three-dimensional geometry, whether it is for a variety of angles, distance, or proof of vertical, the most crucial step is the hardest step, is the need to use the point in a plane of the projective position of the location of this problem is solved, the three Vertical line theorem, all kinds of angle, distance, vertical core essence appears, the problem naturally solved.From the perspective of pure geometric knowledge, in the context of high school three-dimensional geometric knowledge, to determine the point in the plane of the projective position Method (algebraic calculation method to determine the projective positioning is not within the scope of this article.) Determine the point of the projective location of the following ways: