1 . 已知函数
.
(1)若对
,
恒成立,求实数
的取值范围;
(2)当
时,记
的最小值为
,且正数
,
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baafab2dfa8195ca4db3d2afca0bf22b.png)
(1)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbd5bb726a08c308b48373afebbb768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836f6cce8ef31dcd09214c6aff0d5be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
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2023-05-06更新
|
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2卷引用:贵州省黔东南州镇远县文德民族中学校2023届高三下学期4月月考(全国甲卷押题卷二)数学(文)试题
名校
解题方法
2 . 已知函数
.
(1)求证:
.
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5718245cc166f98813c4984cbb4650.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa35dc61078ee8a477508c9ef0af4074.png)
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2022-05-13更新
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4卷引用:贵州省贵阳市第六中学2022届高三一模数学(文)试题
名校
解题方法
3 . 已知函数
.
(1)若
,求实数
的取值范围;
(2)若
,且
,求证:
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9579ecce76691f7459198e8a69c0d13.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e9ab8c3935eed3e6d0c050c22fa4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d7876ae69780fa3cead451440d6f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a325bdd371618d705f023f8ee4de692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76d995b3fdc5ec4781e752211d96ac1.png)
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2021-04-23更新
|
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7卷引用:贵州省兴义市第八中学2023届高三下学期4月月考数学(理)试题
名校
解题方法
4 . 已知函数
.
(1)证明:
;
(2)若不等式
的解集为
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92abd1bea8f3e7b0cde3c298ad84c55d.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0160566c862687e50bd31de1c2081e3.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2677d8cb044df55cbca3c905c286a952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2b85186925658e66d8541a5645269e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667b9d8266b8070f1c3ced34edb68e38.png)
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2020-09-20更新
|
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4卷引用:贵州省黔东南州黎平县黎平三中2019-2020学年高二下学期期末考试数学(文)试题