2022年人教A版高中数学必修四《三角函数的图像与性质》1.4.3《正切函数的性质与图象》学案 .pdf

《2022年人教A版高中数学必修四《三角函数的图像与性质》1.4.3《正切函数的性质与图象》学案 .pdf》由会员分享，可在线阅读，更多相关《2022年人教A版高中数学必修四《三角函数的图像与性质》1.4.3《正切函数的性质与图象》学案 .pdf（5页珍藏版）》请在淘文阁 - 分享文档赚钱的网站上搜索。

1、名师精编优秀教案学大教育广州技术有限公司佛山分公司高中数学必修4 三角函数的图像与性质 1.4.3 正切函数的性质与图象学案学习目标：1、理解并掌握正切函数的周期性、奇偶性、单调性、值域等相关性质.2、会利用正切线及正切函数的性质作正切函数的图象.3、经历根据正切函数的性质描绘函数图象的过程，进一步体会函数线的作用.自主梳理1正切函数tanyx的定义域是；2回顾跟正切函数有关的诱导公式，想一想：正切函数是周期函数吗？如果是，那么最小正周期是；3.回顾跟正切函数有关的诱导公式，想一想：正切函数是 (奇、偶)函数；4正切函数在每个开区间_ 内均为增函数；预习检测1函数tan 24yx的定义域是；2

2、函数tan 24yx的最小正周期是；3.比较大小：tan100tan200；互动探究问题探究1【例】求函数)ln(tan)(xxf的 定义域；【变式】求函数)3(tantan1xxy的定义域；问题探究2【例】若4,3x，求函数1tan2cos12xxy的最值及相应的x的值；名师精编优秀教案【变式】函数4,4,tansinxxxy的值域为问题探究3【例】作出函数)321tan(xy在一个周期内的图象；【变式】作出函数|sintan|sintanxxxxy在区间)23,2(内的大致图象；问题探究4【例】（1）求函数)46tan(3)(xxf的周期和单调递减区间；（2）试比较)(f与)23(f的大小

3、；【变式】是否存在实数a，且Za，使得函数)4cot(axy在)85,8(x上是单调递增的？若存在，求出a的一个值；若不存在说明理由；问题探究5【例】（1）求函数xxytansin的定义域；（2）画出函数|tan|xy的简图，并根据图象写出其最小正周期和单调区间；【变式】利用正切函数的图象解不等式33tan x【课堂练习】1、与函数tan 24yx的图象不相交的一条直线是（）2A x2B x4C x8D x2、函数1tanyx的定义域是3、函数2tan2tan22xxy的最大值是4、已知函数xytan在)2,2(内是减函数，则的取值范围是_；文档编码:CR7C3P9Q3X9 HW6J2L5T2

4、T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:C

5、R7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2

6、T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:C

7、R7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2

8、T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:C

9、R7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2

10、T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8名师精编优秀教案5、函数|)4tan(|xy的单调递增区间是_；选做：已知函数)tan()(xxf，且对于定义域内任何实数x，都有)2()1()(xfxfxf，试比较)3tan(a与)3-tan(a的大小；文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L

11、5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编

12、码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L

13、5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编

14、码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L

15、5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编

16、码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L

17、5T2T8 ZE7U2U4Z5E8名师精编优秀教案答案1.4.3正切函数的性质与图象自主梳理1,2|Zkkxx23奇4Zkkk),2,2(预习检测1,28|Zkkxx223互动探究问题探究1【例】Zkkk),2,(【变式】Zkkkkkkk),2,3()3,(),2(问题探究2【例】当4x时，1miny；当4x时，5miny【变式】122,122问题探究3【例】图略【变式】图略问题探究4【例】（1）4T减区间：Zkkk,384,344（2）)(f)23(f【变式】存在，2a文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2

18、L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档

19、编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2

20、L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档

21、编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2

22、L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档

23、编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2

24、L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8名师精编优秀教案问题探究5【例】（1）,2|,222|ZkkxxZkkxkx（2）图略T增区间：Zkkk),2,减区间：Zkkk,2(【变式】Zkkk),2,6【课堂练习】1、D 2、Zkkk,4,2(3、2 4、015、Zkkk),4,4选做：)3tan(a)3-tan(a文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5

25、T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码

26、:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5

27、T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码

28、:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5

29、T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码

30、:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8文档编码:CR7C3P9Q3X9 HW6J2L5T2T8 ZE7U2U4Z5E8