名校
1 . 若函数
,在
上是增函数,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42087914d6db02cf7193e9388b96ff79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-30更新
|
676次组卷
|
3卷引用:广东省广州二中2023-2024学年高一上学期期末数学试题
解题方法
2 . 已知定义在
上的函数
满足
,
,且
.
(1)求
的值;
(2)判断
的奇偶性,并证明.
![](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/e876debd1fc7a6f1f458c757f6e9f681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bc9c32ab68ddb51b1a4196f50081f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-01-29更新
|
294次组卷
|
2卷引用:广东省珠海市大湾区2023-2024学年高一上学期1月期末联合考试数学试题
解题方法
3 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de0861a5d6af9ca97bed91516bb07cf.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
4 . 已知函数
的定义域为
,对于任意实数
,
满足
,且
,则
( )
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9dbe6c97e2ffd3d4dcd75d138fd95f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd4285b4d0fbb5e8904d7525916a98e.png)
A.1012 | B.2023 | C.2024 | D.4046 |
您最近一年使用:0次
5 . 设
,则下列选项中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b116947dd0c32b4e26eafea205fc10f2.png)
A.![]() ![]() ![]() |
B.方程![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求
的定义域;
(2)解不等式
;
(3)求
在区间
上零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9fe51ece3979215e359aed46ee43e4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f62f9988d640c4fffff6d964ddcff1.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)求函数
的定义域;
(2)若
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbe65e82d1ae1c55e25ec4f9c4c11a8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc40b6ae5fa619a79ad2f92d4f12981.png)
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名校
8 .
和
都是定义在
上的可导函数,两个函数部分函数值和导数值如下表
(1)设
,求
的值.
(2)设
,求
的图象在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![]() | 1 | 2 |
![]() | 2 | 3 |
![]() | 3 | ![]() |
![]() | 1 | 2 |
![]() | 2 | ![]() |
![]() | 1 | 5 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0b9f8635d0757fb75251e60e5b850c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd63fdc720e84569dcee2384f297c735.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f70a12f4e13995e7f5cd009e8a9201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508d1e94fb2d28dd3f5c9dbcfb3b127d.png)
您最近一年使用:0次
2024-01-24更新
|
163次组卷
|
2卷引用:广东省深圳市高级中学2023-2024学年高二上学期期末考试数学试题
名校
9 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcae0e2112459d33f756aa162a43031.png)
A.![]() ![]() | B.![]() |
C.![]() | D.方程![]() |
您最近一年使用:0次
2024-01-24更新
|
179次组卷
|
2卷引用:广东省深圳市龙华区2023-2024学年高一上学期1月期末学业质量监测数学试题
解题方法
10 . 已知定义在
上的函数
满足:
,
,且当
时,
,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/6571b33b56c6cd88f2f6e091031bcf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a26a5485711386aa0cc3a06cc480656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次