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二次函数作为最简单的非线性函数的模型之一,具有许多优美的性质,诸多关于二次函数的精美绝伦的条件不等式,一直是数学高考试卷命题者感兴趣的话题之一.本文将若干散布在各种书刊中的关于二次函数的某些条件不等式进行归类,给出简明扼要的解法,并作进一步的引伸,以供学有余力的中学生学习相关内容时参考.
As one of the most simple model of nonlinear function, quadratic function has many beautiful properties and many exquisite condition inequalities about quadratic function, which has been one of the topics of interest to mathematics high test papers. Some kinds of conditional inequalities about quadratic functions distributed in various books and periodicals are classified, concise and concise solutions are given, and further extensions are made for reference of secondary students who have spare capacity to learn relevant contents.