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离心率是圆锥曲线的一个重要性质,求离心率的范围是高考的热点和难点.它既能考察圆锥曲线的基本性质,又能考察学生对曲线与函数、向量、平面几何的综合处理能力.笔者在教学中发现此类题目学生得分率不高,究其原因主要是这类问题往往数量关系隐藏较深,学生短时间内很难构建出不等关系,导致思路混乱而丢分.本文通过几道考题,探讨归纳该问题的若干思路和解法.
Centrifugal rate is an important property of conic curve, and the range of eccentric rate is the hot and difficult point of college entrance examination.It not only can study the basic properties of conic curve, but also can examine students’ comprehensive ability to deal with curve, function, vector and plane geometry. I found in teaching such problems students score is not high, mainly because of such problems are often hidden in the relationship between the number of deep, difficult to build a relationship between students in a short period of time, leading to confusion and lost points.This article through Several test questions, to explore some of the ideas and solutions to the problem.