解题方法
1 . 已知函数
,
.
(1)求
的极值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e0c3250056a0ae352e07980b6357a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d73e50476910a84a43d09154b89681c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a141d9834d3aeec04e8b2fe9195c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知
对任意的
恒成立,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c96a6ddeba7ced8d884c86b2ab953a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d26ca3170a98922ee8ee72f5d1f1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb74ca8fc86ddef279e33f31c1fedda.png)
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解题方法
3 . 已知函数
,
.
(1)求证:
;
(2)若
,问
是否恒成立?若恒成立,求a的取值范围;若不恒成立,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76a90d726a3c67905ebac2381324275.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257e0a13428a004a923b59d092cf77de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f01e03edfbc7ad3ffd890fd0e682458.png)
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4 . 已知函数
.
(1)讨论
的单调性;
(2)令
,若不等式
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493cb1db68c30bd6843edf8c4113f2fe.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c966ddd31d1dd3a727b9b89f5a680d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3770624867e8006a805d3dbc29a7249f.png)
A.当![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2023-07-25更新
|
195次组卷
|
2卷引用:安徽省阜阳市2022-2023学年高二下学期教学质量统测数学试卷
名校
6 . 已知函数
,其中
.
(1)讨论
的单调性;
(2)若
,
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede13132966e07c3296990ba7c567497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4374cca393beb328d584981a44c6eee9.png)
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解题方法
7 . 定义在
上的函数
的导函数为
,对于任意实数x,都有
,且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e9c46e3d9b755232ce291c494bc3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b07e6fbaa5304ac87aac9369ab827fd.png)
A.函数![]() |
B.![]() |
C.![]() |
D.不等式![]() ![]() |
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名校
解题方法
8 . 设实数
,若对任意的
,不等式
恒成立,则实数m的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3130b01ab1d52624de0e0b2f68bd8ec8.png)
A.![]() | B.![]() | C.1 | D.![]() |
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名校
解题方法
9 . 已知函数
,若
恒成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4166d1020c95dc7fc35e0786b27e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cbbf4d5b8ecbfccc5de39781396d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-07-09更新
|
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|
5卷引用:安徽省安庆、池州、铜陵三市2022-2023学年高二下学期联合期末检测数学试题
名校
10 . 已知函数
,
.
(1)若
为
上的增函数,求
的取值范围;
(2)若
在
内恒成立,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed85e516715c0082cae32f1a09cc312e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ad04771eda0d7b0f4e14cf8d977c74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
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2023-06-27更新
|
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