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有关范围问题,常要借助不等式去解．充分 利用已知条件,挖掘题目中的隐含条件构造不 等式便成为解范围题的关键．本文结合具体问 题谈一下构造不等式的几种方法．供参考． 一、利用题目中已知不等式或常用的基本 不等式构造不等式 例1 (2002年全国高考题)设点P到点 M(-1,0),N(1,0)距离之差为2m,到x轴、y 轴距离之比为2,求m的取值范围．
With regard to the scope problem, it is often necessary to use inequality to solve. Making full use of the known conditions and mining the implicit conditions in the topic to construct inequalities becomes the key to solving the range problem. This article discusses several methods for constructing inequalities based on specific questions. for reference. 1. Construct inequality using known inequalities or commonly used basic inequalities in the problem Example 1 (National College Entrance Examination Question in 2002) Set point P to point M(-1,0), and the difference between N(1,0) distances is 2m. The ratio of x-axis and y-axis distance is 2. Find the range of m.