题目
题型:不详难度:来源:
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143419-62867.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143419-43162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-88229.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-27187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-64193.gif)
(3)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-82822.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-36397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-23234.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-16806.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143419-43162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-59546.gif)
有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-52469.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-63310.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-35192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-97714.gif)
∵当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-51974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-86469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-24967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-37498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-93878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-86469.gif)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143422-36478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-88229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143423-65135.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143423-22243.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-88229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143423-55665.gif)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-27187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143423-81093.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143424-85578.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143424-76826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143424-73740.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143424-43212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-11535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-53546.gif)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-64193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-59102.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-64402.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-86709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143426-47332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143426-81590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143426-50902.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-30155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-17987.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-64137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-36961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143426-47332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-67534.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143428-16606.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-30155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143428-90271.gif)
综上得:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-11535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-64193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-59102.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143425-86709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-64193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143428-92726.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143428-14321.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143429-42246.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143427-36961.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-64193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143429-79195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143429-29288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143429-69744.gif)
(3)根据题意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-82822.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143430-73074.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-36397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143420-23234.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143430-55767.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143430-34879.gif)
2=
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143430-85318.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143421-16806.gif)
解析
核心考点
举一反三
已知向量
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143241-66528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143242-22388.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143242-39522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143242-41919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143242-83987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143242-15450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143243-13559.gif)
(Ⅰ) 求函数式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143243-84565.gif)
(Ⅱ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143243-84565.gif)
(Ⅲ)若对
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143243-24375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143243-19835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143244-91957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143244-13273.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143117-25686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143103-37206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018143047-94869.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018142516-14680.gif)
A.a≥1 ![]() | B.0<a≤2 | C.0<a≤3 | D.1≤a≤3 |
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