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不等式的证明是高三数学教学中的一个难点 ,如何寻求不等式的证明思路是学生感到困难的问题 .本文通过对一道不等式证明问题的多角度思考来说明不等式证明中的一些常用方法 .题目 己知ａ、ｂ、ｃ∈Ｒ且ａ+ｂ +ｃ=1,求证ａ2 +ｂ2 +ｃ2 ≥ 13思路 1 在己知和求证的两个关系式中
The proof of inequality is a difficult point in mathematics teaching in the third year of high school. How to seek inequalities is a difficult problem for students. This paper illustrates some common methods of inequality proofs through multi-perspectives of proving an inequality problem. ,b,c∈R and a+b +c=1, to verify a2 +b2 +c2 ≥ 13 Idea 1 in the two relations of knowledge and verification