名校
解题方法
1 . 设
为实数,已知函数
,
.
(1)若函数
和
的定义域为
,记
的最小值为
,
的最小值为
.当
时,求
的取值范围;
(2)设
为正实数,当
恒成立时,关于
的方程
是否存在实数解?若存在,求出此方程的解;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d9c319675a6160f33c0122ff9ac53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51ba6660d1a4377b174fbccc941b3c3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b852b3ba2498990ecd91a8dbf411b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4e318eba446aef74e47ff27fda7bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da43a5af48b472a38b56028dec1dafc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6da46d049cc55357c0fdaf5f15f484.png)
您最近一年使用:0次
2023-02-10更新
|
766次组卷
|
2卷引用:江苏省盐城市五校联盟2023-2024学年高一上学期1月期末考试数学试题
名校
2 . 已知函数
.
(Ⅰ)若不等式
在
上有解,求k的取值范围;
(Ⅱ)若方程
有三个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5748527c15e370dcf4230ad2d0e1b5.png)
(Ⅰ)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d42d76c68ef50a38ebe4f11c1a08b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
(Ⅱ)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278f7b3876ab0bf681f5a5d40ea248f8.png)
您最近一年使用:0次
2020-01-04更新
|
451次组卷
|
4卷引用:江苏省常州市前黄高级中学2023-2024学年高三上学期期中适应性考试数学试题