解题方法
1 . 已知函数
.
(I)当
时,设
,证明:函数
在
上单调递增;
(II)若
,
成立,求实数
的取值范围;
(III)若函数
在
有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4bd5d4e003c265a6895a4560e37e6c.png)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c025f202ce6be7d85a0b4206d05e85a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e232978321f1ff1aece2b08b89bc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23db045e16cf707396caf4fa38dbb650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(III)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd5f4754ff320b5a75b27159b36ed30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-12-25更新
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3卷引用:内蒙古赤峰市松山区2023-2024学年高一上学期期末学业水平检测数学试题