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求圆锥曲线离心率的值或取值范围,是解析几何中的重点、难点,也是高考中考查的高频考点.圆锥曲线离心率的取值范围考题多以客观题的形式出现,解法多样,有繁有简,能否快速求解省时节能,这是我们关注的问题.对于某些问题,运用椭圆双曲线的画法、定义、性质,利用数形结合的思想列不等式或不等式组,往往可以快速求解离心率取值范围,下面举例说明.
The value or range of conic curve eccentricity is the key and difficult point in analytic geometry and also the high frequency test point in the college entrance examination.According to the objective questions, It is a problem that we are concerned about if there are many kinds of problems, such as the method, definition and nature of elliptic hyperbola, the idea of inequalities or inequalities using the combination of numbers and forms, often Centrifugal rate can be quickly solved the range, the following examples.