1983 USAMO 第 4 题

Six segments $S_1, S_2, S_3, S_4, S_5,$ and $S_6$ are given in a plane. These are congruent to the edges $AB, AC, AD, BC, BD,$ and $CD$, respectively, of a tetrahedron $ABCD$. Show how to construct a segment congruent to the altitude of the tetrahedron from vertex $A$ with straight-edge and compasses.

在平面上给出了六个线段$S_1、S_2、S_3、S_4、S_5、$和$S_6$。它们分别与四面体 $ABCD$ 的边 $AB、AC、AD、BC、BD、$ 和 $CD$ 全等。展示如何使用直尺和圆规从顶点 $A$ 构造与四面体高度一致的线段。