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圆锥曲线包括椭圆、双曲线和抛物线,是平面解析几何中的重要内容,三种圆锥曲线的定义既是教材的重要基本内容,也是解决许多问题的一种有效途径.有些问题若能巧用定义法则迎刃而解.在教学实践中,我们要积极主动培养学生建立采用定义法解题的意识.众所周知:平面内与两定点F1、F2距离之和等于常数2a(2a>|F1F2|)的动点的轨迹是椭圆.与两定点F1、F2距离之差的绝对值等于常数2a(2a<|F1F2|的动点轨迹是双曲
Conic curves include ellipses, hyperbolas and parabolas. It is an important part of plane analytic geometry. The definition of three kinds of conic curves is not only an important basic content of teaching materials, but also an effective way to solve many problems. Some problems can be used if you can use the definition rule. In the teaching practice, we must actively cultivate students to establish the awareness of using the definition method to solve problems. It is well-known that the sum of the distances between the plane and the two fixed points F1 and F2 equals the constant point of the constant 2a (2a>|F1F2|). Is an ellipse. The absolute value of the difference between the distances F1 and F2 from the two fixed points is equal to the constant 2a (the trajectory of the moving point of 2a<|F1F2|