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习题是教材的有机组成部分。解题是学生掌握知识,培养能力的重要途径。因而教师必须从教材的整体上去认识习题和内容的关系,从学生的认识规律,从培养能力的根本上去设计习题,讲授习题。笔者在处理立体几何教材“二面角及其平面角”这一课时的教学中,曾组织了一堂习题课,复习了有关知识和方法以后,安排了一个由简单到复杂,由具体到抽象的“阶梯题组”指导学生进行练习。情况如下: 首先给出一个习题让学生们求解。例1 在直二面角MaN的棱上有两个点A和B,AC和BD分别在两个面M和N内,且垂直线段AB,已知AC=6、AB=8,BD=24,求CD的
Exercises are an integral part of the textbook. Solving problems is an important way for students to master knowledge and develop their abilities. Therefore, teachers must understand the relationship between the exercises and the content from the overall teaching materials, design the exercises from the fundamentals of students’ cognitive skills, and teach the exercises. The author has organized an exercise class in the teaching of the three-dimensional geometry textbook “dihedral angle and its plane angle”. After reviewing related knowledge and methods, the author arranged a simple to complex, from concrete to abstract. “Staircase questions” guide students to practice. The situation is as follows: First, give a problem for students to solve. Example 1 There are two points A and B on the edge of the straight dihedral angle MaN, AC and BD are in two planes M and N, respectively, and the vertical line AB, known AC=6, AB=8, BD=24 , for CD