“指数与指数函数”演示课件.ppt

解析： 答案：　A Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 【名师点评】　(1)本题易错的是：①忽视函数的定义域；②所给函数比较复杂，不能将函数式进行合适的化简变形；③函数的单调性判断错误． Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 解析： 答案：　m＜n Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 名师预测 1．若x＜0且ax＞bx＞1，则下列不等式成立的是(　　) A．0＜b＜a＜1　　 B．0＜a＜b＜1 C．1＜b＜a D．1＜a＜b 解析：选B.由指数函数的图像特征可知，底数a，b均大于0且小于1，再通过特殊值检验可知选B. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * 　指数与指数函数 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. (1)根式的概念 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 无理数指数幂 运算性质 0的负无理数次幂无意义 0的正无理数次幂为0 am·an＝_______ (a0，m，n∈R) (am)n＝amn(a0，m，n∈R) (ab)n＝_______ (a0，b0，n∈R) am＋n anbn Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 1．对于分数指数幂的理解应注意以下问题 (1)分数指数幂不表示相同因式的乘积，而是根式的另一种写法，分数指数幂与根式可以相互转化． (3)在进行幂和根式的化简时，一般是先将根式化成幂的形式，并化小数指数幂为分数指数幂，并尽可能地统一成分数指数幂形式，再利用幂的运算性质进行化简、求值、计算，以利于运算，达到化繁为简的目的． Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 　指数幂的化简与求值的原则及结果要求 (1)化简原则 ①化负指数为正指数； ②化根式为分数指数幂； ③化小数为分数； ④注意运算的先后顺序． (2)结果要求 ①若题目以根式形式给出，则结果用根式表示； ②若题目以分数指数幂的形式给出，则结果用分数指数幂表示； ③结果不能同时含有根号和分数指数幂，也不能既有分母又有负指数幂． Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty L