1 . 已知函数
,
为自然对数的底数.
(1)若
,求实数
的值;
(2)当
时,试求
的单调区间;
(3)若函数
在
上有三个不同的极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd8c9f09311b87cb0fefef73be244a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bad806be39af278f3cb7f77da2645a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c895279c724791bfcafcd6e566c630db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-01-08更新
|
1507次组卷
|
2卷引用:天津市宁河区芦台第四中学2019-2020学年高二下学期第一次月考数学试题
名校
解题方法
2 . 已知函数
,
.
(1)若函数
在
上的最大值为
,求
的值;
(2)设
,若对任意
,均存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db75d1fd7851378bd957dd3bd6e2f696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3980c52927f12c114f3b291ad714d778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cc6aecaf7a967b8dfbbeb2892db93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f035975ebb028ee7314b06b1f81e51d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca3b1f02a33e3370d59d60cf58682a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-01-08更新
|
838次组卷
|
3卷引用:天津市宁河区芦台第四中学2019-2020学年高二下学期第一次月考数学试题
3 . 已知函数
.
(1)若2是函数
的一个极值点,求实数
的值;
(2)若函数
在
上是减函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c893e95306e0eed2d9184345030716f2.png)
(1)若2是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知函数
.
(1)求函数
在点
处的切线方程;
(2)求函数
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d2a87a5dc1b38d1425c033d724ed8b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
您最近一年使用:0次
5 . 已知函数
为
上的连续可导函数,当
时,关于
,则关于
的函数
的零点的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b833e86c79203c1f7aa26948f2ffdac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebe3549a587b8fbd4a7b421898fd59c.png)
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6 . 求由抛物线
与它在点
的切线和直线
所围成的区域的面积______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc3362e9fef2b5a8f13142c1c85528b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1394a4ed26d099cb02fb97ccb635f0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
您最近一年使用:0次
7 . 已知物体的运动方程是
(
的单位是秒,
的单位是米),则物体在
时的速度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4ef973817d347fc468c0a1f776d798.png)
______ (m/s)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfebebfe99d9cf7ac7a66b71a0ff1dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4ef973817d347fc468c0a1f776d798.png)
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解题方法
8 . 设函数
的导函数为
,若对任意
都有
成立,则( )
![](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/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9470e429c8833930e9294e2638648784.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知
上可导函数
的图像如图所示,则不等式
的解集为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/362509ff-aee2-472e-9e03-d99466ce2678.png?resizew=209)
![](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/86cbacc7cb060ff0097d6bb7ee01602d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/362509ff-aee2-472e-9e03-d99466ce2678.png?resizew=209)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
,若函数
在区间
有极值点,则
取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080f4ec85a4105bc1b8c2b2d8a641bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5239e374894f95da60c5cb35a2a718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次