2.3幂函数导学案.pdf

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1、第1页第二章基本初等函数课题：2.3 幂函数班级：姓名：问题生成评价单1.幂函数的概念一般地，形如 _（R）的函数称为幂函数（power function），其中是自变量，是常数。2、五个具体幂函数的图象与性质当=1，2，3，12，-1 时，在同一平面直角坐标系内作出这五个幂函数的图象，如图 2-3-1 所示。观察图象可以得到幂函数的特征如下：第2页由以上特征可以得到上述幂函数的性质如下：（1）在区间（0，+）上都有定义，并且图象都通过点（1，1）。（2）如果 0，则幂函数的图象通过原点，并且在区间0，+上是增函数。（3）如果 0，则幂函数在区间（0，+）上是减函数，在第一象限内，当x 从右边

2、趋向原点时，图象在y 轴右方无限地逼近y 轴；当 x 趋于+时，图象在 x 轴上方无限地逼近x 轴。问题解决评价单文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编

3、码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O

4、8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编

5、码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O

6、8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编

7、码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O

8、8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2第3页典例 1（原创题）已知幂函数y=（m2 m-1）223mmx，求此幂函数的解析式，并指出定义域。拓展变式 1 已知函数2211(22)mymmx+2n-3 是幂函数，求,m n的值。典例 2 比较下列各题中两个幂的值的大小：（1）33442

9、.3,2.4；（2）3322(2),(3)；（3）6655(0.31),0.35拓展变式2 比较下列各题中两个幂的值的大小：（1）33552.1,；（2）1133(2),(1.4)；（3）445523(),()34典例 3 已知函数 y=xa,y=xb,y=xc 的图象如图 2-3-2 所示，则 a、b、c 的大小关系为文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA

10、3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C

11、2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA

12、3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C

13、2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA

14、3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C

15、2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2第4页Acba B.abc C.bca

16、 D.ca0 Ba0 Ca=0 D不能确定3若11221.1,0.9ab，那么下列不等式成立的是()Aal bB1abCb laD1b 1 Bm1 Cm=l D不能确定5若点,A a b 在幂函数nyxnQ 的图象上，那么下列结论中不能成立的是()A00abB00ab00abD00ab6、使23xx成立的x的取值范围是（）A、x1 且 x0B、0 x1 C、x1 D、x1 7、若四个幂函数 yax，ybx，ycx，ydx在同一坐标系中的图象如右图，则a、b、c、d的大小关系是（）A、dcbaB、abcdC、dcabD、abdc8函数3xy和31xy图象满足（）A关于原点对称B关于x轴对称C关于

17、 y 轴对称D关于直线xy对称文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:

18、CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P

19、5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:

20、CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P

21、5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:

22、CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P

23、5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2第6页9、若21)1(a21)23(a，则 a 的取值范围是 _；10下面六个幂函数的图象如图所示，试建立函数与图象之间的对应关系.6543212132323123xyxyxyxyxyxy）；（）；（）（；）；（）；（）（A）（B）（C）（D）（E）（F）11、已知幂函数 f（x）23221ppx（pZ）在（0，）上是增函数，且

24、在其定义域内是偶函数，求p 的值，并写出相应的函数f（x）。【未解决问题】自我评价同伴评价学科长评价小组长评价学术助理评价1、完成单子情况2、主动帮助同伴3、主动展讲4、主动补充与质疑5、纪律情况文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档

25、编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4

26、O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档

27、编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4

28、O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档

29、编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2文档编码:CV8I1G9F4H8 HA3J4O8P5U9 ZQ9F2F7R8C2