几何背景在不等式学习中的作用——以湘教版、苏教版高中数学教科书为例

The role of geometric background in inequality study——A case study of high school mathematics textbooks published by Hunan education press and Jiangsu education press

几何背景在不等式学习中有重要作用,在指出几何背景在不等式学习中的三种作用之后,对几何背景在湘教版、苏教版教科书中"基本不等式"与"柯西不等式"中的呈现进行了比较分析,最后为教科书的编写提出一些建议。

Geometric background plays an important role in the study of inequality. This paper first points out that there are three kinds of functions of geometric background in inequality study. Besides,it has a comparative analysison the presentation of ＂basic- inequality＂and＂Cauchy- inequality＂in the textbooks published by Hunan Education Press and Jiangsu Education Press. Finally,some suggestions are put forward for the compilation of textbooks.