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本文就自己在教学实践中,特别是从学生的作业批改中,对学生在解立体几何习题常见的几种类型的错误进行归纳加以剖析,可以说它于教于学是会有所裨益的。一、概念性错误数学概念是解题的基本依据,立体几何证题和计算题尤其强调概念准确。如对异面直线及其所成的角、异面直线的距离、直线和平面所成的角,二面角及其平面角等许多主要概念理解不确切,就很容易产生错误的结果。
This article analyzes several types of mistakes that students commonly find in solving stereograms in their teaching practice, and in particular in their homework assignments. It can be said that it is beneficial to teach in learning. First, the conceptual error of the mathematical concept is the basic basis for solving the problem, three-dimensional geometric test questions and calculations in particular emphasize the concept of accuracy. If many important concepts such as dihedral lines and their formed angles, distances between lines on different sides, angles formed by straight lines and planes, dihedral angles and plane angles are inaccurate, it is easy to produce erroneous results.