高等数学背景下的高考数学试题探究

The Mathematics Test Exploration under the Background of Higher Mathematics

近年来高等数学的基本思想、基本方法和基本问题为高考试题的命制提供了新的背景和新的思路。高考试题考查的是学生的综合能力,尤其是创新学习能力。这就需要有一个比较公平又有梯度的知识背景。然而高等数学的一些内容可以通过初等数学的方法和手段解决,这类试题就很好地考查了学生进一步学习的潜能。因此以高等数学为背景的高考数学命题受到越来越多命题专家的青睐。文章从四个方面对高等数学背景下高考数学命题作出归类总结与分析。

In recent years,the basic idea,method and problems of higher mathematics have provided a new background and new ideas for setting questions for college entrance examination.College entrance examination tests students＇ comprehensive ability,especially the innovation learning ability.So it needs a relatively fair and gradient knowledge background.But,some of the contents of higher mathematics can be solved by the methods and means of elementary mathematics.This kind of mathematical questions can better test students＇ further leaning potential.So the mathematics proposition on the background of higher mathematics gets more and more the favour of proposition experts.This paper has made deflection-proof and analysis for setting mathematics proposition for college entrance examination under the background of higher mathematics from four aspects.