1 . 函数
的单调递减区间是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710602f42b2ac00958faa7301332c617.png)
您最近一年使用:0次
2 . 函数
的单调递增区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f702336068405508782a3740611036.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知定义在R上的奇函数
,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/a17a9948-6bf6-4aa1-b935-475ffba8ce10.png?resizew=156)
(1)在给出的坐标系中画出
的图象(网格小正方形的边长为1);
(2)求函数
在R上的解析式,并写出函数
的值域及单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15308be822e4af7bc4054e7aa4c50e80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/a17a9948-6bf6-4aa1-b935-475ffba8ce10.png?resizew=156)
(1)在给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
4 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f977e463bffabd95d2421cba15e50730.png)
(1)求出函数
的单调区间;
(2)若函数
有两个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f977e463bffabd95d2421cba15e50730.png)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc046a7b475b5130da69bf537226ec8.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
,其中常数
.
(1)当
时,写出函数
的单调区间(无需证明);
(2)当
时,方程
有四个不相等的实根
.
①求
的乘积;
②是否存在实数
,使得函数
在区间
单调,且
的取值范围为
,若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528c47af5e756030df86aef0798acc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
②是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e333c856d24ba160c4623cbe335ca4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8af7bed124f00c8e19b52d028b4d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
6 . 若函数
,函数
与函数
互为反函数,则
的单调减区间是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](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/f7cc531918e92ecb3e47d812cc2d2bf5.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.
(1)当
时,求
的单调区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
的定义域内存在
,使得
成立,则称
为局部对称函数,其中
为函数
的局部对称点,若
是函数
的局部对称点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed043ef226eeb5aec48271343dd27b4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328c68de7e5b0204ffd6e8a265ce61a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-27更新
|
295次组卷
|
2卷引用:浙江省温州市2023-2024学年高一上学期期末教学质量统一检测数学试题(B卷)
名校
8 . 若函数
的图象经过定点
,则函数
的单调增区间为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833a4386930f36196b42c729cb66bde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca73483f2273233748c67fc417755b45.png)
您最近一年使用:0次
2024-01-16更新
|
936次组卷
|
3卷引用:四川省泸州市古蔺县蔺阳中学校2023-2024学年高一上学期期末数学模拟考试试题
名校
解题方法
9 . 已知
,
,对于实数a、b,给出以下命题:
命题①:若
,则
.
命题②:若
,则
.
则以下判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce327d870a39be6a0e6edf3df96d33af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
命题①:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29171d217e72b44bfcdb9509c7543d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c278321c3100dfab53e34bc70765c007.png)
命题②:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa51e653d41d8086103931bc3fa6736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c278321c3100dfab53e34bc70765c007.png)
则以下判断正确的是( )
A.①为真命题;②为真命题. | B.①为真命题;②为假命题. |
C.①为假命题;②为真命题. | D.①为假命题;②为假命题. |
您最近一年使用:0次
10 . 对于函数
,下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32046aa46463676900b0a9f95b9059c.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次