不等式证明的构造法对学生创新能力的培养

The Construction Method of Proof of Inequality for the Cultivation of Students＇ Innovative Ability

对于某些具有特殊特征的不等式，可根据本身的结构出发，构造满足条件的数学结构，并且借助这些结构解决问题。文章对构造不同的数学结构，探讨不等式证明的方法，归纳了构造法证明不等式的要点。这种方法的应用，拓展学生的思维空间，是学生综合应用知识解决问题能力的体现，培养学生的创新思维能力。

Inequalities for some special features, you can proceed according to the structure itself, constructed to meet the conditions of the mathematical structure, and use of these structures to solve the problem. Construct different mathematical structure, to explore the inequality to prove the method, summed up the constructor method to prove the inequality point. Application of this method to expand students ＇thinking space, is the manifestation of the ability of students integrated application of knowledge to solve problems, develop students＇ creative thinking ability.