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数列求和是数学高考中的重要得分点,基于知识层面,数列应用十分广泛,从一般物品的陈列计算到储蓄相关问题,都会用到数列知识。而从教材层面分析,数列是初中教学内容的延伸,其更与之前学习到的函数知识紧密相连,属于特殊函数,数列的学习培养了学生的创新能力,提高了学生自主学习能力,特别是等差公式的推导中,所渗透的归纳、类比、方程、数形结合思想等,都具有重要意义。
Summation of numbers is an important point in mathematics college entrance examination, based on the knowledge level, the series is widely used, from the display of general items to the savings-related issues, will use the number of knowledge. From the teaching material level analysis, the sequence is an extension of the junior high school teaching content, which is more closely connected with the previously learned function knowledge, belongs to a special function, the number of series of training to cultivate the students ’ability to innovate and improve students’ ability to learn independently, especially In the derivation of the difference formula, the infiltration induction, analogy, equation, combination of number and shape thinking, are of great significance.