题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123819-51021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123819-19982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123819-21663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123820-29617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123820-84801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123820-38105.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123820-75227.png)
(III)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123821-48010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123821-73530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123821-16034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123821-72775.png)
答案
解:(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123822-69291.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123822-59189.png)
依题意有-1和2是方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123822-36996.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123822-65475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123823-73260.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123823-67500.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123822-59189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123823-22561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123823-45202.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123823-54742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123824-20901.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123824-72999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123824-33265.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123824-82207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123825-41385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123825-64557.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123825-29209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123825-10317.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123826-13109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123826-96989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123826-95084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123826-54131.png)
即:函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-16971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-16748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-73748.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-91773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-16971.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123827-16971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123828-44854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123828-48976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123828-39783.png)
(3)证明:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123829-18384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123829-55010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123829-12559.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123829-77676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123829-14199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123830-39555.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123830-43151.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123830-77460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123830-97056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123831-55712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123831-22662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123831-51798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123831-66613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123832-85662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123832-75063.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123832-48821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123832-27047.png)
解析
核心考点
试题【(本题满分15分)设 x1、x2()是函数 ()的两个极值点.(I)若 ,,求函数 的解析式;(II)若 ,求 b 的最大值;(III)设函数 ,,当 时,求】;主要考察你对函数的单调性与导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123632-52259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123632-97818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-11354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-28138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-56362.png)
(Ⅰ) 若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-62361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123634-39519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123632-97818.png)
(Ⅱ) 若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-62361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123633-62361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123634-76815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123618-57048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123604-39080.png)
A.![]() | B.![]() | C.0 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123551-19706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123545-28230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123546-12207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018123546-34129.png)
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