题目
题型:不详难度:来源:
21. (本小题满分13分)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025533-96129.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025533-10722.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-67583.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-29994.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-78254.gif)
(3)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-72020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-96245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025535-57646.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025535-65787.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025535-19551.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025535-41984.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025536-71153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025536-93153.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025536-15879.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025536-76229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025536-26939.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025537-10315.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025537-16243.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025537-61473.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025537-14679.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025534-29994.gif)
(2) 令
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025537-21262.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025538-29742.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025538-95450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025538-63029.gif)
m | (0,![]() | ![]() | ![]() |
![]() | + | 0 | – |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025539-32177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025538-73362.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025538-37556.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025539-11039.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025539-30867.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025540-42907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025540-97169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025535-19551.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025540-31590.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025540-10490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025540-27163.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025541-99844.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025541-72511.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025541-23409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025541-57490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025542-38298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025542-32961.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025542-89474.gif)
核心考点
举一反三
7.函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025529-19232.gif)
A.5,– 15 | B.5,– 4 | C.– 4,– 15 | D.5,– 16 |
21. (本小题满分12分)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025518-54193.gif)
(1) 若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025518-11948.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025518-85790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025519-61900.gif)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025519-84964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025519-65162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025519-96654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025520-55398.gif)
(3) 若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025520-96825.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025520-77021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025508-25419.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025509-79177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025509-32447.gif)
(1)求a、b的值;
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025509-94783.gif)
(3)若关于x的方程
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025509-34983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025510-48471.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025502-41859.gif)
(Ⅰ)求m的值;
(Ⅱ)若斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025502-39785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025502-91820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025458-73498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019025458-14161.gif)
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