题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114049-90473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114049-78255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114050-71930.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114050-22023.png)
(Ⅱ)试研究曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114050-20989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114050-72310.png)
(Ⅲ)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114051-55014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114051-37847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114051-87502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114051-77554.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-19056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-36941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-70820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-76471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-94382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-67279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-44568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-89090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-13598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-53190.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-32434.png)
(II)本小题的实质是判定方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-81671.png)
(III)先求f(x)在[1,2]上最小值,然后再求出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-64703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114055-56280.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114055-88530.png)
根据题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114055-60855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-19056.png)
经检验
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114055-38284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114049-78255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114050-71930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-19056.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-81671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114056-56247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114056-12068.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-36941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-70820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-76471.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114052-94382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-67279.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-44568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114053-89090.png)
(Ⅲ)根据题意可知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114056-37392.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114056-15001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-92541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-15648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-76931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-14565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-26638.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114058-49241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114058-59579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114058-54486.png)
故函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114058-49241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114057-92541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114058-36744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-37134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-63542.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-63686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-63542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-97955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114059-40014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114100-58069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114100-65234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114100-74582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114100-47159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114101-68833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114101-27773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114101-69593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114102-50505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-13598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114054-53190.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114040-43668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114040-68767.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114034-14156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114034-66370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114034-66370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-28546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-88360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-46538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-10204.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-41631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114018-58712.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114019-18419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114019-63340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114019-41333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114003-14394.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114003-15924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114003-81521.png)
(Ⅱ)证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114004-11523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113953-74129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113953-71478.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113953-18691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113954-49535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113954-98813.png)
(Ⅱ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113954-26539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113954-65260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018113954-98813.png)
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