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一、试题回顾如图1,在几何体ABCDE中,四边形ABCD是矩形,AB⊥平面BEC,BE⊥EC,AB=BE=EC=2,G、F分别是线段BE、DC的中点。(Ⅰ)求证:GF∥平面ADE。(Ⅱ)求平面AEF与平面BEC所成锐二面角的余弦值。筝二、试题分析本题主要考查直线与直线、直线与平面、平面与平面的位置关系等基础知识,考查空间想象能力、推理论证能力、运算求解能力,
First, the examination questions as shown in Figure 1, in the geometry of ABCDE, the quadrilateral ABCD is rectangular, AB⊥ plane BEC, BE⊥EC, AB = BE = EC = 2, G, F are the midpoint of the line segment BE, DC. (Ⅰ) Proof: GF∥ plane ADE. (Ⅱ) Calculate the cosine of the sharp dihedral angle of plane AEF and plane BEC. Zheng II Analysis of the questions This test mainly examines the basic knowledge of the relationship between the straight line and the straight line, the straight line and the plane, the plane and the plane, examines the spatial imagination ability, reasoning and argumentation ability, arithmetic solving ability,