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异面直线所成的角是立体几何中重要概念之一,它是平面几何中角的概念在空间第一次扩充。教学实践告诉我们:学生在接受和理解异面直线所成的角这一概念时,并不存在什么问题;然而,在运用此概念去求有关异面直线所成角的具体问题时,却感到困难较大。其原因在于如何根据具体问题的条件去确定这个角顶点的位置。为此,我们采取了如下的两点做法,收到良好效果。一、通过典型例题,揭示如何“求角”的一般规律,培养运用概念的能力。在正确理解异面直线所成的角的基础上,让学生练习如下题目;
One of the important concepts in the three-dimensional geometry is the angle formed by the non-planar lines. It is the first expansion of the concept of the angle in plane geometry. Teaching practice tells us that students have no problem in accepting and understanding the concept of the angle formed by a straight line, but when they use this concept to ask specific questions about the angle formed by a straight line, they feel it. More difficult. The reason for this is how to determine the position of this corner vertex according to the conditions of the specific problem. To this end, we have taken the following two approaches and received good results. First, through typical examples, reveal the general rules of how to “seeking angles” and cultivate the ability to use concepts. Based on the correct understanding of the angles formed by the different straight lines, allow students to practice the following topics;