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1、名师精编优秀教案2.1.2 指数函数及其性质（1）学习目标1.了解指数函数模型的实际背景，认识数学与现实生活及其他学科的联系；2.理解指数函数的概念和意义；3.能画出具体指数函数的图象，掌握指数函数的性质（单调性、特殊点）.学习过程一、新课导学探究任务一：指数函数模型思想及指数函数概念实例：细胞分裂时，第 1 次由 1个分裂成 2 个，第 2 次由 2个分裂成 4 个，第 3 次由 4个分裂成 8 个，如此下去，如果第x 次分裂得到y 个细胞，那么细胞个数y 与次数x的关系式是什么？_.【讨论】：（1）这个关系式是否构成函数？（2）是我们学过的哪个函数？如果不是，你能否根据该函数的特征给它起个
2、恰当的名字？新知：一般地，函数)1,0(aaayx且叫做 _函数，其中x是自变量，函数的定义域是R.反思 1：为什么规定10aa且呢？否则会出现什么情况呢？【讨论】：则若,0a_.则若,0a_.则若,1a_.反思 2：函数xy32是指数函数吗？学生活动下列函数哪些是指数函数？（1）xy3（2）xy12（3）xy)2(4)13xy（5）xy23（6）xy（7）24xy (8)121()12(aaayx且_.探究任务二：指数函数的图象和性质名师精编优秀教案引言：你能类比前面讨论函数性质时的思路，提出研究指数函数性质的内容和方法吗？回顾：（1）研究方法：画出函数图象，结合图象研究函数性质（2）研究内
3、容：定义域、值域、特殊点、单调性、最大（小）值等等作图：在同一坐标系中画出下列函数图象：xy2xy)21(练习在上面的坐标系中继续作出xxyy)31(3 与的图像【讨论】13.2aaa类比1031.21aaa类比图象特征1.图象全在 _轴上方,与x轴无限接近2.图象过定点 _ 3.自左向右图象逐渐_ 1.图象全在 _轴上方,与 x轴无限接近2.图象过定点 _ 3.自左向右图象逐渐_ 4.xxyy)21(2 与的图象关于 _轴对称新知：根据图象归纳指数函数的性质文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5
4、E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R
5、3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4
6、K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8
7、M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K
8、6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3
9、W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7
10、O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3名师精编优秀教案1.定义域为 _.过定点 _，即当 x=_时，y=_.在R上是 _函数.在R上是 _函数xa函数y)1且a0，(axy0y=1y=ax(a1)(0,1)y0(0a1)xy=1y=ax(0,1)值域为 _.单调性过定点值域定义域性质图象0a1值域为 _.巩固训练1.函数xay中，无论10,0aa还是,都经过 _.2.指数函数xay中，xa和的取值范围分别是_.3.若函数xay)12(
11、是减函数，则a的取值范围是_.二、典型例题例1：求下列函数的定义域：（1）23xy（2）xy1)21(例2：已知指数函数xaxf)(（1,0aa且）的图象经过点),3(,求)3(),1(),0(fff的值.文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5
12、E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:
13、CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 H
14、L10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 Z
15、X5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编
16、码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1
17、 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3名师精编优秀教案例3：比较下列各题中两个值的大小:(1)3
18、5.27.1,7.1(2)2.01.08.0,8.0(3)1.33.09.0,7.1(4)比较2131aa 与的大小，)1,0(aa且练习1.求下列函数的定义域：（1）xy32（2）123xy（3）xy5)21(（4）xy17.02.比较下列各题中两个数的大小：(1)7.08.03,3 (2)1.01.075.0,75.0(3)5.37.201.1,01.1(4)已知的大小关系是则cbacba,2.1,8.0,8.08.09.07.0_.课后探究1.求函数1511 xxy的定义域？2.在上，,nm)1,0()(aaaxfx且的值域？文档编码:CH1I3W4K9M1 HL10E7O8M5E9 Z
19、X5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编
20、码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1
21、 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9
22、 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文
23、档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9
24、M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5
25、E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3名师精编优秀教案文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX
26、5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码
27、:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1
28、HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9
29、ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档
30、编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M
31、1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3文档编码:CH1I3W4K9M1 HL10E7O8M5E9 ZX5E2I3K6R3