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在2013届学生使用的《全国100所名校单元测试示范卷》高考第一轮总复习用卷文科数学的第二十一单元《高中数学综合测试》第18题的题目和解答是这样的:题目如图所示,已知在多面体ABCDEF中,四边形ABCD是正方形,EA⊥平面ABCD,EF∥AC,且AC=2EF,AB=2AE.(1)求证:平面BDF⊥平面ABCD;(2)若正方形边长为2,求该多面体的体积解:(1)设AC交BD于H,连结FH,易知H为AC中点
The first round of review of the first round of entrance examinations for the 100 entrance examinations used by students in 2013 adopts the questions and answers given in the twenty-first module of “Mathematics Comprehensive Test for Senior High Schools” of Volume Liberal Arts Mathematics as follows: Topic As shown in the figure, it is known that in the polygon ABCDEF the quadrilateral ABCD is square, the EA⊥ plane ABCD, EF // AC, and AC = 2EF, AB = 2AE. (1) Verify that the plane BDF⊥ plane ABCD; Square side length of 2, find the volume solution of the polyhedron: (1) AC AC BD in H, link FH, easy to know H is AC midpoint