名校
1 . 已知函数
,
.
(1)若对任意
,
,不等式
恒成立,求
的取值范围.
(2)若存在
,对任意
,总存在唯一
,使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19788488566dd21424cfd733b404829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5f69e0ba9ab508126e0b1499b70b9c.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79c8048b437627dc13ab8c102539a4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ca00140df8ba64ef3bdd53b9b5f164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd9ab4b70d371c16614f13b5eafe26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a88329d316ea99fffd369a54efe1a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e67ab789b6c7e1b14f6224de3891412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-09-12更新
|
2052次组卷
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6卷引用:内蒙古通辽新城第一中学2021届高三第二次增分训练数学(理)试题
2 . 设函数
的最小值为
.
(1)求
;
(2)已知两个正数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fc3fea40c144f7db5ffa12330630c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知两个正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e30fe2547f71f7505e99a0dd7188e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e62ba44cbfec6823ebc1f0c7457fb.png)
您最近一年使用:0次