通过《等差数列》一章的教学,特别对某些习题的讲解后,经过思考,推敲,不难发现除现行教材介绍的“等差数列”的定义、通项公式和前n项和公式等内容外,还可以归纳出几个重要性质。这些性质用来解决某些习题是简捷有力的。本文介绍《等差数列》的几个性质及其应用。 如果我们对一等差数列的各项施以相同数的四则运算,则容易获得下面性质: [性质1°] 在等差数列的各项加上(或减 Through the teaching of the “Arithmetic Errors” chapter, especially after explaining some exercises, after thinking and scrutinizing, it is not difficult to find the definitions of “arriance series”, the general formula and the first n terms and formulas in addition to the current teaching materials. In addition to such content, several important properties can be summarized. These properties are used to solve certain exercises that are simple and powerful. This article describes several properties and applications of “arrival series”. If we apply the same number of four operations to each item of an arithmetic difference sequence, it is easy to obtain the following property: [Property 1°] Add (or decrease) to each item in the arithmetic progression.