2022年指数对数幂函数知识点汇总 .pdf

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1、名师整理精华知识点指数函数、对数函数、幂函数单元复习与巩固撰稿：刘杨审稿：严春梅责编：丁会敏一、知识框图二、目标认知学习目标1.指数函数(1)通过具体实例，了解指数函数模型的实际背景；(2)理解有理指数幂的含义，通过具体实例了解实数指数幂的意义，掌握幂的运算.(3)理解指数函数的概念和意义，能借助计算器或计算机画出具体指数函数的图象，探索并理解指数函数的单调性与特殊点；(4)在解决简单实际问题的过程中，体会指数函数是一类重要的函数模型。2.对数函数(1)理解对数的概念及其运算性质，知道用换底公式能将一般对数转化成自然对数或常用对数；通过阅读材料，了解对数的发现历史以及对简化运算的作用；(2)通

2、过具体实例，直观了解对数函数模型所刻画的数量关系，初步理解对数函数的概念，体会对数函数是一类重要的函数模型；能借助计算器或计算机画出具体对数函数的图象，探索并了解对数函数的单调性与特殊点；3.反函数知道指数函数与对数函数互为反函数(a 0，a1).4.幂函数(1)了解幂函数的概念；名师整理精华知识点(2)结合函数的图象，了解它们的变化情况.重点指数函数、对数函数、幂函数的性质，熟练掌握指数、对数运算法则，明确算理，能对常见的指数型函数、对数型函数进行变形处理.难点指数函数、对数函数、幂函数为载体的复合函数来考察函数的性质.三、知识要点梳理知识点一：指数及指数幂的运算1.根式的概念的次方根的定义

3、：一般地，如果，那么叫做的次方根，其中当为奇数时，正数的次方根为正数，负数的次方根是负数，表示为；当为偶数时，正数的次方根有两个，这两个数互为相反数可以表示为.负数没有偶次方根，0 的任何次方根都是0.式子叫做根式，叫做根指数，叫做被开方数.2.n 次方根的性质：(1)当为奇数时，；当为偶数时，(2)3.分数指数幂的意义：；注意：0 的正分数指数幂等与0，负分数指数幂没有意义.文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O1

4、0 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6

5、文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O

6、8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9

7、O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6

8、P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C

9、6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4

10、H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6名师整理精华知识点4.有理数指数幂的运算性质：(1)(2)(3)知识点二：指数函数及其性质1.指数函数概念一般地，函数叫做指数函数，其中是自变量，函数的定义域为.2.指数函数函数性质：函数名称指数函数定义函数且叫做指数函数图象定义域值域过定点图象过定点，即当时，.奇偶性非奇非偶单调性在上是增函数在上是减函数文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:C

11、P7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS

12、9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU

13、2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码

14、:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5

15、HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10

16、ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档

17、编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6名师整理精华知识点函数值的变化情况变化对图象的影响在第一象限内，从逆时针方向看图象，逐渐增大；在第二象限内，从逆时针方向看图象，逐渐减小.知识点三：对数与对数运算1.对数的定义(1)若，则叫做以为底的对数，记作，其中叫做底数，叫做真数.(2)负数和零没有对数.(3)对数式与指数式的互化：.2.几个重要的对数恒等式，.3.常用对数与自然对数常用对数：，即；自然对数：，即(其中).4.对数的运算性质如果，那么加法：减法：数乘：文档编码:CP

18、7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9

19、X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2

20、X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:

21、CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 H

22、S9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 Z

23、U2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编

24、码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6名师整理精华知识点换底公式：知识点四：对数函数及其性质1.对数函数定义一般地，函数叫做对数函数，其中是自变量，函数的定义域.2.对数函数性质：函数名称对数函数定义函数且叫做对数函数图象定义域值域过定点图象过定点，即当时，.奇偶性非奇非偶单调性在上是增函数在上是减函数文档编码:C

25、P7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS

26、9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU

27、2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码

28、:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5

29、HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10

30、ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档

31、编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6名师整理精华知识点函数值的变化情况变化对图象的影响在第一象限内，从顺时针方向看图象，逐渐增大；在第四象限内，从顺时针方向看图象，逐渐减小.知识点六：幂函数1.幂函数概念形如的函数，叫做幂函数，其中为常数.2.幂函数的性质(1)图象分布：幂函数图象分布在第一、二、三象限，第四象

32、限无图象.幂函数是偶函数时，图象分布在第一、二象限(图象关于轴对称)；是奇函数时，图象分布在第一、三象限(图象关于原点对称)；是非奇非偶函数时，图象只分布在第一象限.(2)过定点：所有的幂函数在都有定义，并且图象都通过点.(3)单调性：如果，则幂函数的图象过原点，并且在上为增函数.如果，则幂函数的图象在上为减函数，在第一象限内，图象无限接近轴与轴.(4)奇偶性：当为奇数时，幂函数为奇函数，当为偶数时，幂函数为偶函数.当(其中文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码

33、:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5

34、HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10

35、ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档

36、编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L

37、5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O1

38、0 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6

39、文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6名师整理精华知识点互质，和)，若为奇数为奇数时，则是奇函数，若为奇数为偶数时，则是偶函数，若为偶数为奇数时，则是非奇非偶函数.(5)图象特征：幂函数，当时，若，其图象在直线下方，若，其图象在直线上方，当时，若，其图象在直线上方，若，其图象在直线下方.文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C

40、6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4

41、H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5

42、D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W

43、6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1

44、A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4

45、O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6文档编码:CP7W6C6O8L5 HS9X1A4H9O10 ZU2X4O5D6P6