名校
1 . 已知函数
.
(1)若
时,不等式
恒成立,求实数
的取值范围;
(2)若关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cbf249f801e849be4b1218c2e3ef59.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309943bf7f9aa14e0425d4313150177b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde61bd1a36e9e5e78a814ea76027992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf01f1b48c9b85ddaeb9e8e0b32601f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-06-23更新
|
789次组卷
|
3卷引用:福建省三明第一中学2022-2023学年高一上学期期中考试数学试题
名校
解题方法
2 . 已知函数
,
,且关于
的不等式
的解集为
,设
.
(1)若存在
,使不等式
成立,求实数
的取值范围;
(2)若方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0808cd203b6aa996e85d2ce843ffc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a21f6fe16da2d969c2e3e8a451c84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3029a39fe6d67da0c12f68fd19e155.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0c19ae1918729b016a978eebe64b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896d15b0b0c197f7563e060b26b1713f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a127fd902fcae6a0d1c00dae3d48ed66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-12-28更新
|
343次组卷
|
3卷引用:福建省德化一中、漳平一中、永安一中三校协作2020-2021学年高一12月联考数学试题
3 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20848891163f6f11e121fc7fba310d9.png)
(1)求
的极值点;
(2)当
时,若方程
在
上有两个实数解,求实数
的取值范围;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20848891163f6f11e121fc7fba310d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713c59f274e9146b6d85375435315521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298873fbaddfa54307878a9c57bcf154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eba129d92ede31b728e2590c4db2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aab05316c010d6dba95f74749dd588.png)
您最近一年使用:0次