求异面直线的距离,是立体几何教学中的一个难点。常见教材和资料对此介绍得不多,常用的方法是把问题转化为求直线与平面或平面与平面间的距离。下面试举数例。例1.长方体ABCD-A′B′C′D′的相邻三条棱长分别为3、4、5,求它的对角线与不相邻棱之间的距离。 Finding the distance from a straight line is a difficult point in the teaching of solid geometry. There are not many introductions to common textbooks and materials. The common method is to transform the problem into the distance between a straight line and a plane or between a plane and a plane. Take a few examples below. Example 1. The length of the adjacent three ribs of the cuboid ABCD-A’B’C’D’ is 3, 4, and 5, respectively, and the distance between the diagonal line and the non-adjacent edge is determined.