名校
解题方法
1 . 函数
在
上单调递增,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86ed894b10d5c6e7b17d35d63ce385a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-12更新
|
879次组卷
|
2卷引用:辽宁省部分高中2023-2024学年高二下学期期中考试数学试题
解题方法
2 . 已知函数
.
(1)求函数
的最小值;
(2)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80c358203c0f9c99b25ab1f057ced1b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9831f7677f1e05bdbce7edbdba4e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2294b3eb0726f18dfbd285f88bc115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346ca0a9b6c171f460b408b4d1f71c3c.png)
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3 . 已知定义在
上的函数
的导函数为
,若
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.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/3b8e2f3d154edb803591cc41a185e6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda51d861d43f1cde4ea398ac877bb2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知函数
.
(1)讨论函数
的单调性;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80e86d369cb8d2b5506d71113c2f177.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875afd22d89b4e0b1bfc8ffaeaec9981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
(
为常数),曲线
在点
处的切线平行于
轴.
(1)求
的值;
(2)求函数
的单调减区间和极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0c465861e533b545d91d07600169b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c7498ba1a84a990ac5482fd1d849a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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6 . (1)求函数
的极值.
(2)已知曲线
,求曲线过点
的切线方程.
(3)讨论函数
,
的单调性
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402c95ed218caf677636c2d92b59cf25.png)
(2)已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20ecf38ec9c8f16fa98255fd0ace827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6362d37e7ff9f930f690cdc7d5e1f458.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83c21776a7987a9e09716979f7fd21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
您最近一年使用:0次
名校
解题方法
7 . 函数
的极小值点为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0ed0858facd18f4f8d7897f75807f7.png)
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8 . 已知函数
有三个不同的零点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e12822ce59d9fba30891cb2701d7ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
9 . 已知
是可导函数,且
对于
恒成立,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9470e429c8833930e9294e2638648784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)当
时,求
在
处的切线方程;
(2)若函数
在
上单调递增,求实数
的取值范围;
(3)求证:
.(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662704fdd021f1cc3c239cb0362b4017.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5915d15cfa8ee93afb9628d2a98d88b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d927d40b4ea833a1423554a3e3fcbf8.png)
您最近一年使用:0次