题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114610-23636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114610-86714.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114612-72693.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114559-36180.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114559-15784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114600-77513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114600-37927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114600-53571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114559-15784.png)
(2)在(1)的条件下,若对于区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114600-93723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114601-50967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114601-81870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114601-86239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114551-89703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114552-66421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114552-54343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114552-15839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114552-21808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114553-90592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114553-90592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114553-22004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114553-22516.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114532-14211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114532-39980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114532-41384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114532-29040.png)
(2)试用(1)的结果证明如下命题:设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114533-51945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114533-12238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114533-51488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114533-89779.png)
(3)请将(2)中的命题推广到一般形式,并用数学归纳法证明你所推广的命题.
注:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114534-93089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114534-20871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114538-23452.png)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114538-84462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-14215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-13444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-12934.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-37719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-94505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114540-39624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114540-40874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114540-50513.png)
(3)在(1)的条件下,设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114540-96269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-13444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114539-12934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114541-69090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114531-37185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018114531-72567.png)
A.(![]() | B.(0,1] | C.[1,+∞) | D.(0,+∞) |
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