浅谈不等式的证明策略

• 作 者: 康彦军
• 机 构: 甘肃金昌市第二中学,
• 出 处: 中学生数理化(教与学)
• 发表日期: 2010年05期
• 关键词: 不等式证明 逻辑推理能力 证明方法 证明策略 放缩法 构造法 换元法 证法 数学归纳法 科学思想方法

不等式的证明重点考查学生的逻辑推理能力,是理科考查的重点.不等式证明题历来难度大,区分度高,综合性强,创新不断,学生平时做练习题与试题差距较大,所以教学时一方面要重视对基础知识、基本方法的教学,另一方面更要注重证明方法中蕴含的思想方法、技巧、技能在其他章节知识中的应用,强调知识的综合和内在联系.

Inequalities to prove the focus of examination of students’ logical reasoning ability, is the focus of scientific examination.Inequalities prove the title has always been difficult, highly differentiated, comprehensive, continuous innovation, students usually do exercises and test questions a large gap, so teaching a Emphasis should be laid on the teaching of basic knowledge and basic methods. On the other hand, more attention should be paid to prove the application of the methods, techniques and skills contained in the methods to other chapters and to emphasize the synthesis and internal relations of knowledge.