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平面与平面的位置关系是高中立体几何的重要内容,面与面平行的判定定理是其中的一个重要定理.人教版高中数学教科书通过“观察长方体模型”的活动直接引入了该定理,但未对该定理加以证明.在教学实践中,从公理化思想的角度看,学生对于这样的做法是心存疑惑、不甚满意的.另一方面,出于后续有关二面角知识的教学需要,一些教师往往也会补充定理的证明.那么,教科书中究竟应该如何呈现该定理?课堂教学中应如何选择最合
The positional relationship between the plane and the plane is an important content of high-dimensional solid geometry. The decision theorem parallel to the surface is one of the important theorems. The human education high school mathematics textbook directly introduces this theorem through the activity of the “observed cuboid model”. However, this theorem has not been proved. In teaching practice, from the perspective of axiomatic thinking, students are puzzled and unsatisfied with such an approach. On the other hand, for follow-up teaching on dihedral angle knowledge. Need, some teachers often supplement the proof of the theorem. Then, how should the theorem appear in textbooks? How to choose the best combination in classroom teaching?