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在最近的一次习题课中,笔者选用了一道有关“中点弦”的常规问题,目的是强化常规题型的通法通解.但在讲评过程中,对一位同学的解法的追问,却如那星星之火,点燃了同学们探究的欲望.通过追问,促进对解题方法的优化;通过追问,促进对问题的研究与拓展;通过追问,揭示了问题的本质.原题:已知椭圆C:x2/9+y2/4=1及点M(1,1),过点M作一条直线与椭圆C交于A、B两点,且M是线段AB的中点,求直线AB的方程.
In a recent exercise class, the author chose a common question about “midpoint string ”, the purpose is to strengthen the general method of general questions, but in the process of commenting on a student’s method of questioning, But as the star of fire, ignited the desire of students to explore by asking questions, to promote the optimization of the problem-solving method; through questioning, to promote the research and development of the problem; through questioning, revealing the nature of the problem. Known oval C: x2 / 9 + y2 / 4 = 1 and the point M (1,1), M point for a straight line and the intersection of elliptical C and A, B two points, and M is the midpoint of the line segment AB, find a straight line AB’s equation.