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在高中数学知识体系中,数列知识占据很重要的位置,而数列知识中数列的求和又是重点内容,尤其是“错位相减”这种重要方法的运用。在学习数列知识的过程中,我们通常仅仅关注了掌握和运用求和公式,却忽视了在推导求和公式的过程中涉及的“错位相减”这种重要的方法,导致在解答此类数列求和的问题时无能为力。此外,在每年的数学高考卷中,很多省的试题中都考查了用错位相减法处理数列求和问题,其重要性毋庸置疑。基于此,本文将首先说明错位相减这种方法,然后举例其在数列求和中的应用。
In high school mathematics knowledge system, the knowledge of sequence occupies a very important position, and the summation of sequence in sequence knowledge is the key content, especially the application of the important method of “dislocation subtraction”. In the process of learning sequence knowledge, we usually focus only on the mastery and application of the summation formula, but neglect the important method of “dislocation subtraction ” involved in the process of deriving the summation formula, The problem of summation of series of numbers is powerless. In addition, in the annual mathematics college entrance examination papers, examinations in many provinces examined the use of dislocation subtraction method to solve the problem of sequence summation, its importance is beyond doubt. Based on this, this article will first describe the method of dislocation subtraction, and then give an example of its application in the summation of a sequence.