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数学上的解题是学生所学知识的综合运用,是培养学生能力的集中表现。因而,教给学生以解题方法是数学教学中的重要任务。本文从“一题多解”和“多题一解”的教学方面,谈谈培养学生能力的问题。 1、运用“一题多解”,开拓学生的思路,培养学生分析问题的能力下面是我在解析几何一节复习课的实录。例1、设抛物线y~2=4ax(a>0),过焦点F的弦PQ的倾斜角为θ,求|PQ|的值。本题是解几中常见的求线段长的问题。这个
The problem solving in mathematics is a comprehensive application of students’ knowledge and is a concentrated expression of students’ ability. Therefore, teaching students how to solve problems is an important task in mathematics teaching. This article talks about the problem of cultivating students’ ability from the aspects of “multiple solutions to one question” and “multiple questions and one explanation”. 1. Using the “Multiple Solutions to One Question” to open up student ideas and develop students’ ability to analyze problems The following is an actual record of the review class in Analytic Geometry. In Example 1, a parabola y~2=4ax (a>0) is set, and the skew angle of the chord PQ of the over focus F is θ, and the value of |PQ| is found. This question is a solution to the problem of finding the length of a segment in several common solutions. This one