题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082035-45720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-63103.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-87377.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082035-45720.gif)
∴2k
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082035-45720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-84118.gif)
k
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-98685.gif)
当k="2n" (n∈Z)时,2n
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-93572.gif)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
∴sin
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-63103.gif)
当k=2n+1(n∈Z)时,
(2n+1)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-17032.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-18137.gif)
即2n
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-51642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-24385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082038-67237.gif)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
∴sin
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082037-43223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082038-87706.gif)
综上可知:
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082036-87377.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082030-89148.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082030-57478.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082028-40038.png)
Ⅰ.
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082019-79241.gif)
Ⅱ.
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082019-20710.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082017-92228.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082013-46296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082014-52318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190821/20190821082014-62559.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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