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是否存在一个和正方体六个面都相交,且不过正方体任一棱的平面六边形?就这个问题加以探索:可作出这个平面,并用几何和向量的有关知识可证出存在这样平面正六边形。
Is there a plane hexagon that intersects the six sides of the cube but is square in any way? Explore this question: Make this plane and prove that there is such a plane regular hexagon with the knowledge of geometry and vectors .