题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-52771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-63268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-94506.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-73532.png)
(Ⅱ)若对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-49542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-71455.png)
答案
解:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-92452.png)
因为函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-26097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-63268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-94506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-81775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-80393.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-74969.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-15330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-64400.png)
(Ⅱ)由(Ⅰ)可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-57214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-66567.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-29792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-67687.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-72225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-93783.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022315-99232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022314-67687.png)
所以,当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022312-63268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-26097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-14856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-60110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-75134.png)
则当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-41289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-26097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-75134.png)
因为对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-41289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022313-71455.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-82743.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-23340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-54241.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022316-16417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022317-76753.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022302-53889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022303-12077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022303-81941.png)
(Ⅰ)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022303-89192.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022303-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022303-46285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022304-35127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022304-91340.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022304-85128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022304-95579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-58329.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-91633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-26457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-99911.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022241-99108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-91633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022240-91633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022241-65836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022232-32905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022232-48633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022232-72559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022232-41836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022232-40987.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022225-68938.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022217-23358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022217-95787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019022217-56473.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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