名校
解题方法
1 . 设函数
,
,
.
(1)若
的解集为
,判断
的单调性并用单调性定义加以证明;
(2)设函数
(其中
),若
,总
,使得不等式
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3272405f79e517734fb7ea55612f474e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b29ad91535c0c61f94ac295328e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e51f2c795ab4791cc89ea49699fc5b.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa74fd1547b531433cf5346df88e8762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd49494644c1a8dbd2d4c9700ed1347a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede28d6c3e621ac4157d0c377d99ca3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18629d3101cbac31c1dd332a6d5d6f12.png)
您最近一年使用:0次
名校
解题方法
2 . 已知指数函数
在区间
上的最大值与最小值之和为6;
(1)求
的值;
(2)求
在
上的最大值,井将结果表示成一个关于
的分段函数
;
(3)设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018d0b5d1970404a82d6dc0d5e1771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beec45637f8cdc2984e627ae03c4c96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b1df3d4cf95e159848a62996aadb6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3ea371b497c61c778cf70314f0eaa6.png)
您最近一年使用:0次
名校
3 . 已知函数
是奇函数.
(1)求
的值,并判断
的单调性(不必说明理由);
(2)若存在
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762b0d399c4991ce9fb182d450fcb0a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cf16e39bff4aa2d482c90411d5ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2a60d522fd92929ef7d49987f34ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2022-12-01更新
|
833次组卷
|
5卷引用:黑龙江省哈尔滨师范大学附属中学2022-2023学年高一上学期期中考试数学试题