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1、二 指数与指数函数2.6 指数函数Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.实 数指数幂整数指数 幂分数指数 幂零负 正正负有理数指数幂无理数指 (a0)数幂指数概念的扩充Evalu
2、ation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.笛卡尔（15961650）Evaluation only.Evaluation only. Created with Aspose.Slides fo
3、r .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.牛 顿（16421727）Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Sli
4、des for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.（17071783）欧 拉Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2
5、011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.问题：某种细胞分裂时，一个分裂为2个，2个分裂为4个 ， 1个这样的细胞分裂x次后，得到的细胞个 数y与x的函数关系式是:4个分裂为8个一般地，函数 叫做 指数函数，其中x是自变量。函数的 定义域是R定义 ：8个分裂为16个 16个分裂为32个第1次 2分裂次数 细胞个数第2次 2*2=4 第3次 4*2=8 第 x 次 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Prof
6、ile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.画出指数函数的图象：Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client P
7、rofile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.图象性质（1）定义域：（2）值域：（3）过点（4）在 上 是 函数（4）在 上 是 函数一般地，指数函数 在a1,及0a1两 种情况下的图象和性质如下表 所示a1 0 a1RR增减R( 0,+)( 0,1 ) , 即 x = 0时，y = 1(0,1) (0,1)0xy0xyEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Cli
8、ent Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.例3 比较下列各题中两个值的大小：1.2.3.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides
9、for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.0 0.3 1 2 3 3.1 x y1Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 200
10、4-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.练习:比较大小:1.2.3.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd
11、.小结 ：1. a1,0a1代表两类不同的指数函数，其主要区别在于单调性不同。2. （0，1）是所有指数函数图象的交汇点 。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.再 见Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.
