高中数学指数与数指函数.pptx

菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）第五节 指数与指数函数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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）a的n次方根 根式 a 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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）(3)有理数指数幂的运算性质：①ar·as＝ ________(a＞0，r、s∈Q)；②(ar)s＝________ (a＞0，r、s∈Q)；③(ab)r＝ _______(a＞0，b＞0，r∈Q)．ar＋sarsarbrEvaluation 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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）2．指数函数的图象与性质a>100时，_______； 当x0时，______ ； 当x101增函数减函数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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 理科数学（浙江专用）1．如图2－5－1是指数函数(1)y＝ax，(2)y＝bx，(3)y＝cx，(4)y＝dx的图象，底数a，b，c，d与1之间的大小关系如何？你能得到什么规律？【提示】 图中直线x＝1与它们图象交点的纵坐标即为它们各自底数的值，即c1＞d1＞1＞a1＞b1，∴c＞d＞1＞a＞b，即无论在y轴的左侧还是右侧，底数按逆时针方向变大．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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 理科数学（浙江专用）2．函数y＝ax，y＝a|x|(a＞0，a≠1)二者之间有何关系？【提示】 函数y＝a|x|与y＝ax不同，前者是一个偶函数，其图象关于y轴对称，当x≥0时两函数图象相同．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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）【答案】 BEvaluation 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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）【答案】 DEvaluation 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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）【解析】 由题意得0≤16－4x＜16，∴函数的值域是[0，4)．【答案】 CEvaluation 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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）4．(2013·三明模拟)当a＞0，且a≠1时，函数f(x)＝ax－2－3的图象必过定点________．【解析】 ∵a0＝1，∴x－2＝0，即x＝2，此时，f(2)＝－2，因此必过定点(2，－2)．【答案】 (2，－2)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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）5．(2013·安庆模拟)指数函数y＝(a2－1)x在定义域内是减函数，则a的取值范围是________．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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）【思路点拨】 将根式化为分数指数幂，负分数指数化为正分数指数，底数为小数的化成分数，然后运用幂的运算性质进行运算．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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）1．这类问题的求解，首先将根式、分数指数幂统一为分数指数幂，以便利用法则计算，但应注意：(1)必须同底数幂相乘，指数才能相加；(2)运算的先后顺序．2．当底数是负数时，先确定符号，再把底数化为正数．3．运算结果不能同时含有根号和分数指数，也不能既有分母又含有负指数．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.菜 单课后作业典例探究·提知能自主落实·固基础高考体验·明考情新课标 · 文科数学（安徽专用）Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspo。