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异面直线距离的计算,在中学立体几何教学中历来是一个难点,主要原因是公垂线的两个垂足不易寻求,即使找到了,公垂线的长度也不易计算。因此,对于这个问题的研究,教材只好浅尝辄止,学生往往视为畏途。现行课本在复习参考题中曾指出一种较好的方法:“如果a、b是异面直线,平面a经过直线b与直线a平行,那么直线a与平面a的距离就是异面直线a、b的距离。”根据这种方法,可以不必按定
The calculation of the distance from a straight line in the opposite direction has always been a difficult point in the teaching of the three-dimensional geometry in middle schools. The main reason is that the two vertical feet of the public vertical line are not easy to seek. Even if it is found, the length of the vertical line is not easy to calculate. Therefore, for the study of this issue, the teaching materials should only be taken for granted. Students often regard it as a fearful way. The current textbook has pointed out a better method in the review reference: “If a and b are different straight lines, and the plane a is parallel to the straight line a through the straight line b, then the distance between the straight line a and the plane a is the opposite line a, b distance.” According to this method, it is not necessary to