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求异面直线之间的距离是立体几何的重点、难点之一,常见解题思路有:利用图形性质,直接找出该公垂线,然后求解;或者通过空间图形性质,将异面直线距离转化为直线与其平行平面间的距离,或转化为分别过两异面直线的平行平面间的距离,或转化为求一元二次函数的最值问题,或用等体积变换的方法来解.本文借助正方体模型来简单说明求异面直线之间距离的一些方法。
Finding the distance between different straight lines is one of the key points and difficulties of solid geometry. The common problem solving ideas are: use the nature of the graph to directly find the public vertical line, and then solve; or through the nature of the spatial pattern, the linear distance from the opposite side The distance between a straight line and its parallel plane, or the distance between two parallel planes passing through two different straight lines, or the value of the quadratic function, or the method of equal volume transformation. Use the cube model to simply illustrate some ways to find the distance between different straight lines.