《集合与对应》练习题误解考源

• 作 者: 数石
• 出 处: 湖南教育
• 发表日期: 2004年期
• 关键词: 解集 方程组解 单元素 考源 有序实数对 一个整 列举法 描述法 大括号 中有

学员在学习《集合与对应》一章中,提出了一些疑难,现综合解答如下。 1.习题一中的第5(1)题,解集写成以下几个形式,错在哪里? (1){x=1,y=2}; (3){1,2};(4){(x=1,y=2)} 这是对方程组解集中的元素没有弄清楚而造成的。有的把1和2看做解集的元素,事实上这方程组的解集是{(1,2)},它是单元素集合,只含有一

Students in the study “collection and correspondence” chapter, put forward some difficulties, the comprehensive answer is as follows. 1. Exercises in a question 5 (1), the solution set into the following forms, the wrong place? (1) {x = 1, y = 2}; (3) {1,2}; (4) {(x = 1, y = 2)} This is caused by the fact that the elements of the system of equations are not clearly understood. Some consider 1 and 2 as elements of solution sets. In fact, the solution set of this system of equations is {(1,2)}, which is a single element set and contains only one