名校
1 . 已知函数
.
(1)计算
的值;
(2)设
, 解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a6064341667c54815c299cdc19984c.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b17e5c8ba9972b9fdae02c354ce9f84.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48857d079f55a8cb8ddb6a1276717533.png)
您最近一年使用:0次
2019-05-08更新
|
498次组卷
|
2卷引用:【全国百强校】浙江省绍兴市第一中学2018-2019学年高二下学期期中考试数学试题
解题方法
2 . 已知函数
.
(1)若
在
上单调递减,求
的取值范围;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7073ffa62a08bea00c4c4f8f8fa87129.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307e723df2757e00355133f755950275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e0a0dde137e24c80d0afeec024f2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,其中
.
(1)若
在
具有单调性,求
的取值范围;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961ab70a0b10169af69585ae8e693f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
4 . 已知函数
为函数
的反函数,
,且
在区间
上的最大值与最小值之差为1.
(1)求
的值;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad89000848f2e5b2fc1a9779f4a1d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d10e12db6240a365b09060ebfbbdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a64740741b32609ef71d9ece5fd2e5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808a781a0555a60714d91a37103715ff.png)
您最近一年使用:0次
解题方法
5 . 已知函数
.
(1)若关于
的不等式
的解集为
,求
的值;
(2)当
时,
(i)若函数
在
上为单调递增函数,求实数
的取值范围;
(ii)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e5c0be2088614ed372d42b223e1e1.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267eda4eb02924140d1b39be8c6192d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
(i)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56002ab09438fcb642fde70b10ee9720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
您最近一年使用:0次
2021-11-27更新
|
550次组卷
|
2卷引用:天津市五校联考2021-2022学年高一上学期期中数学试题
名校
6 . 已知常数
,函数
.
(1)若
,解关于
的不等式
;
(2)若
在
上为增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5710535fcdca72043fa12f77e5aabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6249879f05d301b37d6341ac96df884d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fc1cd2baabbf8afea25478e1258237.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c880a292e77ec85d531c1b37e6feffe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-10-08更新
|
505次组卷
|
4卷引用:上海市控江中学2022届高三上学期开学考数学试题
名校
解题方法
7 . 已知二次函数
且
),
,且对任意的
,
均成立,且方程
有唯一实数解.
(1)求
的解析式;
(2)若当
时,不等式
恒成立,求实数
的取值范围;
(3)是否存在区间
,使得
在区间
上的值域恰好为
?若存在,请求出区间
,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/919228d6a721caf3763720d3f14ba150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fb51c831740d9fe307c03537080448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566722610c5d33a5c27a0056f11c6321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead233c376eaf863f76bb91ecc3d706.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6f743ad3c18350685b9c63e3609366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1417ef5d306d9d9eae067e2bf235a4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)是否存在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e6fca71fccb890f3ad8501ea4f560e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc582073c8a3098b270337f1438f78df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
您最近一年使用:0次
名校
8 . 已知函数
(
).
(1)若
,求函数
在
上的值域;
(2)若
,解关于
的不等式
;
(3)若函数
在区间
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68833cf65d73431c5dfb18da0f0b26f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810949b76573ccd9d43af3815299d443.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50af11c345056215054f7cfe679939da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5274e4274e2254eba1bd5b37bd468ce3.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-26更新
|
568次组卷
|
3卷引用:浙江省宁波市鄞州中学2019-2020学年高一上学期期中数学试题
9 . 已知函数
,其中
且
.
(1)求函数
的定义域,并判断函数
的奇偶性;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c4937bb6e0b69c9c018651d4a3499b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
您最近一年使用:0次
2019-11-07更新
|
381次组卷
|
2卷引用:江苏省南京市六校联合体2019-2020学年高一上学期期中联合调研数学试题
名校
10 . 已知定义在区间
上的函数
为奇函数.
(1)求函数
的解析式并判断函数
在区间
上的单调性;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81caa90bdecc3f77c0343bd1f4d7d8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06da5f9311195b66c3e8d1ecb90df3f.png)
您最近一年使用:0次
2019-09-18更新
|
1380次组卷
|
4卷引用:福建省福清华侨中学2018-2019学年高二下学期期末考试(文)数学试题