2024高三·全国·专题练习
1 . 已知函数
(
且
).
(1)当
时,函数
恒有意义,求实数
的取值范围;
(2)是否存在这样的实数
,使得函数
在区间
上为减函数,且最大值为
?如果存在,试求出
的值;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7dbb24614f75b7bcef9b1ea497a97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58427d5aa7deeca47c8789241913f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)是否存在这样的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](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/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
2 . 已知函数
,
.
(1)若函数
在
上单调递增,求实数
的取值范围;
(2)用
表示
,
中的最大值,设函数
,
,试讨论
的图象与
轴的交点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd43bf38bf6c3fa4bc5b8ffb746fcb63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfc6f997f5465c88d68dde7fd874fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98aab692b27cfc120481faa6525474d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7225c625819b7bfeb393a377ec2d74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2024-01-17更新
|
488次组卷
|
2卷引用:江西省上饶艺术学校2024届高三上学期1月月考数学试题
名校
3 . 已知函数
,其中
且
.
(1)若
,
,求不等式
的解集;
(2)若
,
,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78357a4692ab7d75157333f49a62439b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03b9867f112114f33627d8c28600a8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b713856f459dcb717f4e5be71b022e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5be1c986ef462966026705615ddb66.png)
您最近一年使用:0次
2023-12-23更新
|
314次组卷
|
4卷引用:专题2.3 幂函数与指、对数函数【九大题型】