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人教版《数学》(选修2-2)第87页“直接证明与间接证明——分析法”内容中有这样一道题目:求证3~(1/2)+7~(1/2)<2×5~(1/2).这是一道比较简单的不等式的证明,教材的意图是想通过这道题目来说明直接证明不容易,根据不等式的特点,寻求成立的充分条件,从而让学生掌握分析法证明的基本思想和操作方法.我们很多老师在实际教学中也就是按照课本上的方式处理问
PEP “Mathematics” (Elective 2-2) page 87 “Direct and Indirect Proof - Analysis ” There is such a topic in the content: Prove that 3 ~ (1/2) + 7 ~ (1/2 ) <2 × 5 ~ (1/2) .This is a relatively simple proof of inequality, the purpose of the textbook is to try to illustrate through this problem is not easy to prove directly, according to the characteristics of inequality, to establish the sufficient conditions to Let students master the analytical method to prove the basic ideas and methods of operation.Many of our teachers in the actual teaching is in accordance with the textbook way to deal with