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不等式是中学数学的主干内容之一,它不仅是中学数学的基础知识,而且在中学数学中起着广泛的工具性作用。在近年的高考中,有关不等式的试题都占有较大的比重(如2008年江西省高考理科数学试卷,考查知识性的试题就有20分,考查工具性的试题有20多分),试题不仅考查了不等式的基础知识、基本技能、基本思想方法,还考查了运算能力、逻辑思维能力以及分析问题和解决问题的能力等数学素养。本文试就本章基本内容、基本思想方法和常考题型等作一归纳,供学生复习参考。
Inequality is one of the main contents of middle school mathematics. It is not only the basic knowledge of middle school mathematics, but also plays a wide range of instrumental roles in middle school mathematics. In the recent college entrance examinations, questions concerning inequalities occupies a large proportion (for example, in the 2008 Jiangxi Provincial College Entrance Examination mathematics test, there were 20 points for the examination questions and 20 points for the examination questions). The basic knowledge, basic skills, basic thoughts and methods of inequality, and mathematics literacy such as computing ability, logical thinking ability, and the ability to analyze and solve problems are also examined. This article tries to sum up the basic content, basic thoughts and methods, and frequently-asked questions of this chapter for students to review.