二次函数逆向最值问题,指的是已知二次函数在某区间上的最值,求参数的取值或取值范围的问题.这类问题灵活性大、题型新颖、综合性强,能有效地考查学生的思维品质和学习潜能,特别是综合分析能力及逆向思维.若按常规方法求解这类问题,往往较繁琐,且难度较大。本文举例说明处理二次函数逆向最值问题的一些优化策略,供大家参考。一、代入验证法 Converse function quadratic inverse problem, refers to the known quadratic function in a range of the most value, seek the value of the parameter or the range of values. Such questions flexibility, novelty, comprehensive , Can effectively examine the students’ thinking quality and learning potential, especially the ability of comprehensive analysis and reverse thinking.If the conventional method to solve such problems are often more complicated and more difficult. This paper gives an example to illustrate some optimization strategies to deal with the inverse maximum value problem of quadratic function, for your reference. First, into the verification method