题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153926-66843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153926-33541.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-13184.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-78357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-53383.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-61006.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-15531.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-36963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-36963.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-15430.gif)
(2)函数的最小正周期为
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-76720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-36963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-83705.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-13184.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153929-25875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153929-12217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153929-41290.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153927-78357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153929-35802.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153930-80297.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153930-78153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153930-11463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153931-74693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153931-26972.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-15430.gif)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153931-34327.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153931-67502.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153932-25380.gif)
∴函数的最小正周期为
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-76720.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153932-39777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153932-91874.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-36963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915153928-83705.gif)
核心考点
试题【已知复数,,且.(1)若且,求的值;(2)设=,求的最小正周期和单调减区间.】;主要考察你对正弦函数的图象与性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151321-72952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151321-88764.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151321-37428.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151211-25416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151212-49233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915151212-68913.png)
A.2π | B.π | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141915-65095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141915-96611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141915-62615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141809-25946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141809-60089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141809-64590.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141809-65649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141810-84795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141810-46849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141809-65649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141657-78080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141658-46863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141658-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141658-94395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190915/20190915141658-48819.png)
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