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圆锥曲线是解析几何的重要内容,必须要求学生牢固掌握,学生往往会套用标准方程,但他们很难运用定义灵活解题,事实上,在解题中注意运用圆锥曲线定义,既能加深对圆锥曲线本质的理解,又时常可以简化解题过程,提高学生解题能力。本文试图探讨:如何运用圆锥曲线定义,培养学生灵活解题能力。举例如下: 一、曲线的图形性质善于利用图形性质解题,就能避繁就简、化难为易。例1 椭圆的右焦点为F,右准线为l,一直线交椭圆于A、B,交准线1于C。
Conical curve is an important part of analytical geometry. Students must be firmly mastered. Students often apply standard equations. However, it is difficult for them to use the definition to solve problems. In fact, attention is paid to the use of conic curve definition in solving problems, both to deepen the conicity. The understanding of the nature of the curve can often simplify the problem-solving process and improve students’ ability to solve problems. This article attempts to explore how to use conic curve definition to develop students’ ability to solve problems flexibly. Examples are as follows: First, the graphic nature of the curve is good at solving problems with the nature of the graph. Example 1 The right focus of the ellipse is F, the right guideline is l, the straight line is elliptical to A and B, and the crosshair 1 is C.