1 . 已知函数
,
.
(1)写出
的单调区间,并用单调性的定义证明;
(2)若
,解关于
的不等式
;
(3)证明:
恰有两个零点m,
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0676c35e842a3a86d3b752cae5ca0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0a1faf66cdc3558d05205fd8f5187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3484588665d34c47ac3d2ef5c7ef5f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9947fdb8b6b390de995711ef15d82e70.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab9ca08258afa316987ccae15a969e0.png)
A.若函数![]() ![]() |
B.关于x的方程![]() ![]() |
C.对于实数![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2020-12-14更新
|
2568次组卷
|
7卷引用:江苏省苏州中学2022-2023学年高一上学期期末模拟数学试题
解题方法
3 . 已知
(
且
)是R上的奇函数,且
.
(1)求
的解析式;
(2)若关于x的方程
在区间
内只有一个解,求m的取值集合;
(3)设
,记
,是否存在正整数n,使不得式
对一切
均成立?若存在,求出所有n的值,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec55e2299b1886acb0c3ec1a6aec31e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c85886dad735d5b8048ba3d3eab4ce4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545c552efb86f80818df9932431cfe6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e108638ae5a58146db45291064fdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25187c7511afa2193ff7e162f3f68eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db2fcb54a23ea72a13be064cc26e571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
您最近一年使用:0次