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对于某些几何体的体积问题,若直接根据原有的图形解题比较困难时,不妨将图形进行巧妙地分割和补形,从而达到化繁为简的目的,使问题获得解决。例1如图1,在多面体ABCDEF中,已知ABCD是边长为1的正方形,且△ADE,△ACF均为正三角形,EF∥AB,
For some geometric volume problems, if it is difficult to solve problems directly based on the original graphics, you may wish to cleverly divide and complement the graphics, so as to achieve the purpose of simplifying and simplifying the problem. Example 1 As shown in Figure 1, in the polyhedral ABCDEF, ABCD is known to be a square with side length 1, and △ADE, △ACF are all positive triangles, EF∥AB,