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在一般的教科书及参考书中,关于《立体几何》中的“直线与平面垂直的判定定理”都是利用三角形全等来证明的。此证法添辅助线较多,对初学立体几何者或空问想象能力较差者都有一定困难。下面给出一种用勾股定理的逆
In general textbooks and reference books, the “Vertical and Planar Verdict Theorem” in “Solid Geometry” is proved by using triangle equivalence. This verification method has more auxiliary lines and it has certain difficulties for beginners or those with poor spatial imagination. The following gives an inverse using the Pythagorean theorem