一个解析几何定点问题引发的思考

Thinking Based on the Fixed-point Problem of an Analytical Geometry

从以学生角度解决一个具体椭圆定点问题入手,介绍了求解定点问题的方法并进行了升华归纳;通过变式拓展过渡到定值问题并归纳其解题思路,从教师角度为方便解题和命题需要,加强了椭圆类定点定值问题的横向探究和双曲线、抛物线的纵向探究,并形成了类题模板。

Based on a solving fixed-point problem of an ellipse from the student angle,this paper introduces the method for solving the fixed-point problem and makes summarization,generalizes the solution path from variant extension to definite value problem,in order to be conveniently solving the problems and set a question from teacher angle,consolidates the horizontal exploration for the fixed-point and definite value problem of an ellipse and vertically studies hyperbola and parabola to form a class of problem templates.