离心率范围的探求策略

来源 :高中数学教与学 | 被引量 : 0次 | 上传用户:JINGRUOFEIYUN
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离心率是圆锥曲线的一个重要的基本量,求离心率的范围是常见的题型.这类问题往往小题精致,大题综合,数量关系隐藏得深,对学生的思维能力和运算能力有较高的要求.求解的思路是设法建立关于a,b,c的齐次不等式,然后转化为关于离心率e的不等式,进而求出e的范围.而其中的关键是如何分析题意、细心挖掘“深藏不露”的不等关系,实现等量关系向不等关系的转化.本文结合具体问题,研究如何寻找不等关系,探求离心 Centrifugal rate is an important basic conic curve, the range of seeking eccentric rate is a common type of question.This type of problem is often exquisite, comprehensive, the relationship between the amount of hidden deep, the ability of students thinking and computing Higher requirements.The idea of ​​the solution is to try to establish a homogeneous inequality about a, b, c, and then into the inequality about the eccentricity e, and then find out the range of e.And the key is how to analyze the questions, carefully Mining unequal relationship between “deep hidden ”, to achieve the conversion of equal relationship to unequal relationship.Based on specific issues, this paper studies how to find unequal relationship, to explore the centrifugal
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