真题
解题方法
1 . 已知函数
在
上满足
,当
时
取得极值
.
(1)求
的单调区间和极大值;
(2)证明:对任意
、
,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840903c8cb59e0302d7249cb1fa4b615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca9a617f33b747c5f0d76f8f3db071a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3502f1cd0038eb888dc121026c6820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ceaeebe50a5f78b52da0850741cee42.png)
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2020-06-23更新
|
405次组卷
|
4卷引用:2011年辽宁省瓦房店市五校高二上学期竞赛数学文卷
名校
2 . 如果函数
(
为常数)在区间
内单调递增,且在区间
内单调递减,则常数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933cd0af86185137b82f0d8ff6115249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c64f880171d5a2c1338db99c7660b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f5f2ebdee8914176e93fa566b89144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.1 | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
2016-11-30更新
|
462次组卷
|
5卷引用:2011年辽宁省瓦房店市五校高二上学期竞赛数学文卷
9-10高二下·广东潮州·期中
3 . 已知
,函数
.
(1)若函数
在区间
内是减函数,求实数
的取值范围;
(2)求函数
在区间
上的最小值
;
(3)对(2)中的
,若关于
的方程
有两个不相等的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c314267dc3afe0632756a47ac5f1c4e7.png)
(1)若函数
![](https://img.xkw.com/dksih/QBM/2010/7/16/1569791762767872/1569791768461312/STEM/14c36ea4aaa3444b8024b038d99de44c.png?resizew=35)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fcec77177443519207ffc6afb988d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
(3)对(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5920533acc1467caaccd2be000ddeab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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