2022年人教A版高中数学必修四《三角函数的图像与性质》学案8 .pdf

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1、名师精编优秀教案三角函数的性质【学习目标】1.通过三角变换后，得到求最值、单调性及周期的基本型sin()yAx进行求解了解函数的周期性2.以极度的热情投入学习，体会成功的快乐。【学习重点】三角函数的性质，特别是单调性和周期性以及最值是重中之重。【学习难点】三角函数的性质，特别是单调性和周期性以及最值是重中之重。自主学习 1三角函数的性质函数ysinx y cosx ytanx 定义域值域奇偶性有界性周期性单调性最大(小)值2函数 ysinx 的对称性与周期性的关系 若相邻两条对称轴为xa 和 xb，则 T名师精编优秀教案 若相邻两对称点(a，0)和(b，0)，则 T 若有一个对称点(a，0)和

2、它相邻的一条对称轴xb，则 T注：该结论可以推广到其它任一函数 典型例析 例 1.已知函数)12(sin2)62sin(3)(2xxxf)(Rx；（1）求函数f(x)的最小正周期；（2）求使函数f(x)取得最大值的x 的集合例 2.已知函数f(x)21log(sinx cosx)求它的定义域和值域；求它的单调区间；判断它的奇偶性；判定它的周期性，如果是周期函数，求出它的最小正周期例 3某港口水的深度y（米）是时间t(0 t24，单位：时)的函数，记作yf(t)，下面是某日水深的数据：t（时）0 3 6 9 12 文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5

3、文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2

4、R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V

5、7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3

6、Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8

7、Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M

8、1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3

9、O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5名师精编优秀教案y（米）10 13 9.9 7 10 t（时）15 18 21 24 y（米）13 10.1 7 10 经过长期观察，yf(t)的曲线可以近似地看成函数yAsin xb 的图象（1）试根据以上数据，求出函数yf(t)的近似表达式；（2）一般情况下，船底离海底的距离为5 米或 5 米以上时认为是安全的（船舶停靠时，船底中需不碰海底

10、即可），某船吃水深度（船底离水面的距离）为6.5 米，如果希望该船在一天内安全进出港，请问，它至多在港里停留多长时间（忽略进出港所需的时间）？当堂检测 文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 H

11、V3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR

12、8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码

13、:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9

14、 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4

15、ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档

16、编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5名师精编优秀教案函数sin2sin(2)3cos2cos(2)3xxyxx的最小正周期为_ 直线ya与曲线sin

17、3cosyxx在(0,2)x内有两个不同的交点，则实数a的取值范围是 _;3 若函数2()sin2(2)cos2f xaxax的图象关于直线8x对称，则a的值等于_ 4.已知函数2()2cossin()3 sinsincos3f xxxxxx（I）求函数()f x的最小正周期；（II）求函数()f x的最大值及最小值；（III）写出()f x的单调递减区间.学后反思 _ _ _ _ 文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1

18、V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O

19、3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H

20、8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4

21、M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y

22、3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS1

23、0H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5文档编码:CS10H8Q2R9U9 HV3V4M1V7D4 ZR8I8Y3O3Y5