离心率是圆锥曲线中一个重要概念,它的变化直接导致曲线形状和类型的变化;涉及离心率取值范围问题又是解析几何与函数、不等式、方程、三角等知识交叉、渗透的综合性问题,所以此类问题综合性强,且确定离心率的不等关系也较为隐蔽,故考生的得分率偏低·文[1]用了七种方法,笔者对 The eccentricity is an important concept in the conic curve. Its change directly leads to the change of the shape and type of the curve. The question of the range of the value of the eccentricity is also the comprehensive problem of the crossover and permeation of analytic geometry with functions, inequalities, equations, triangles, etc. Therefore, the comprehensive nature of such problems, and the determination of the relationship between eccentricity is also more subtle, so the candidate’s scoring rate is low. The text [1] uses seven methods, the author of