题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021140-92306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021140-57814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021140-84726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021140-36277.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-43021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-67288.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-69055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-34626.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-43874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-34626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-53858.png)
解析
(1)利用函数在两个点处取得极值,可知极值点处导数为零得到参数的值。
(2)结合根与系数的关系和参数a,b的值,得到了函数关系式,那么要是等式成立,利用导数得到b的最值。
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-32030.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-96701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-67288.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-28431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021143-18881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021143-97776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021143-40339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021143-22480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-43874.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021144-98634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-67288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021144-95720.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021144-98634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021144-57099.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021144-11900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021145-31061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021145-35372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021145-74690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021145-39735.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021145-74255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021146-47544.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021146-38564.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021146-20083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021146-28181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021146-84868.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021147-12389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021147-75995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021147-69594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021147-38667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-19017.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-36883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-97722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-43643.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-70758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021149-51580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-43643.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021149-65674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-43643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021148-43643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021149-67459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021141-34626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021142-53858.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021131-28555.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021132-90786.png)
(Ⅱ)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021132-44826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021132-70842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021132-91999.png)
(Ⅲ)试讨论方程
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021133-59338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021127-22285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021124-84502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021124-43706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021125-49041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021125-29714.png)
A.2 | B.3 | C.4 | D.5 |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-43446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-85479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-76920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-76920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-78822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021115-27514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021116-88122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021116-84880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021116-26490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021116-17858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021116-57130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-84192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-93033.png)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-66032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-40153.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-99041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021110-82246.png)
(III)若
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-99041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021110-97972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021110-77162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021110-77265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021111-66902.png)
成立,求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019021109-66032.png)
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