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数列的求和问题一直是高考的重点和难点,在高考中占有重要的位置.本文阐述了高中数列问题对学生抽象概括能力、推理论证能力、运算求解能力和综合能力的考查要求,并在此基础上,对高中学生常见一般数列求和方法“通项公式法”、“错位相减法”、“倒序相加法”、“分组转化法”和“裂项相消法”进行总结,以期对高中生掌握数列求和方法,迎刃而解数列求和问题有所裨益.
The summation of series has always been the key and difficult point of the college entrance examination and occupies an important position in the college entrance examination.This paper expatiates on the examination requirements of students’ abstract ability, reasoning and argumentation ability, arithmetic solving ability and comprehensive ability Based on the common series of high school students summation method common law formula, dislocation subtraction method, reverse order addition method, group transformation method, and crack Elimination Law "to summarize, with a view to high school students to master the sequence of summation method, to solve the problem of summation of the series of benefits.