“集合的基本联系”演示课件1[北师版必须修读1].ppt

* * * 集合的基本关系 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 学习目标: 1、理解子集、真子集的概念； 2、掌握集合之间的元素的关系的判定方法； 3、掌握集合与集合之间的关系的判定方法？ 4、理解空集的定义。 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 要解决的问题： 1、你会区别子集和真子集的概念吗/？ 2、你是如何判定集合与集合之间的关系的？ 3、{0}和空集之间有什么关系？ 4、你是如何判定一个集合是空集的？ 5、如何确定两个集合相等？ Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B A B A Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 判断集合A是否为集合B的子集，若是则在（ ）打√，若不是则在（ ）打×: ①A={1,3,5}, B={1,2,3,4,5,6} ( ) ②A={1,3,5}, B={1,3,6,9} ( ) ③A={0}, B={x x2+2=0} ( ) ④A={a,b,c,d}, B={d,b,c,a} ( ) × × √ √ Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 观察集合A与集合B的关系： （1）A={1,3,5}, B={1,2,3,4,5,6} （2） A={四边形}, B={多边形} Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. (1) A={a,b,c,d}, B={d,b,c,a} (2) A={－1,1}, B={x x2－1=0} 观察集合A与集合B的关系： Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B A 图中A是否为B的子集? (1) B A (2) Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. ⑴ 集合A不包含于集合B，或集合B不包含集合A时， 记作 注 意 ⑵ 规定：空集是任何集合的子集． 即对任何集合A,都有： A Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 观察集合A与集合B的关系： （1）A={1,3,5}, B={1,2,3,4,5,6} （2）A={四边形}, B={多边形} Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 子集的性质 （1）对任何集合A，都有： A A （2）对于集合A,B,C,若A B,且B C,则有 A