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绝对值是中学数学的重要概念与难点之一。在不同的教学阶段上,教材对它的讨论也有不同的深度和要求。高中二年级学习了二次曲线以后,可以将解析几何知识运用到解某些绝对值方程中及某些绝对值不等式中去。这对于学生系统地掌握知识并加深对知识内涵的理解,是十分有益的。本文试图从解析几何观点出发,寻求这类绝对值方程与不等式的更为简捷的解法。
Absolute value is one of the important concepts and difficulties in middle school mathematics. In different teaching stages, the teaching materials have different depths and requirements for its discussion. After studying the quadratic curve in the second grade of senior high school, analytical geometry knowledge can be applied to solve some absolute value equations and some absolute value inequalities. This is very useful for students to systematically acquire knowledge and deepen their understanding of the content of knowledge. This article attempts to seek a more simple solution to such absolute value equations and inequalities from the perspective of analytical geometry.