名校
1 . 已知函数
,给出下列四个结论:
①函数
是奇函数;
②
,且
,关于x的方程
恰有两个不相等的实数根;
③已知P是曲线
上任意一点,
,则
;
其中所有正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b911ca0a9600ca9e5b657e2c2cac6742.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56fe84600ef7b977bc3eeb9a4f0252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278d3bdd40c4386b93e0ef5b91009094.png)
③已知P是曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e193e00a5d2b4654735c1f850d9dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b4c42a51640b900ca9f26db1b1eff0.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
2 . 设函数
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adbb2acd098c3afb5f8ddfd2be6269a.png)
A.![]() ![]() | B.![]() ![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知函数
.
(1)若
的定义域为
,求
的定义域;
(2)证明:
有且只有一个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b879f93babf292763dd1ee52f4d2c4d1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5872abdb3911443a2090f0e95e442447.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48824632c5ca0107f0ca4fc4bd12de11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4efc8f466b7f221d919f927dde5141.png)
您最近一年使用:0次
解题方法
4 . 已知函数
满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4d176cd4cefa84cd1cec0163689703.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已函数
,若对于定义域内任意一个自变量
都有
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7cea92214e87be2367207d2467fcbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2024-03-08更新
|
199次组卷
|
2卷引用:浙江省临平萧山学校2023-2024学年高一上学期期末数学试题
解题方法
6 . 已知下列五个函数
,从中选出两个函数分别记为
和
,若
的图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae6be1c40cb864c38df5dcebf5f2035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870a586e90a7bb79dc44f9451dee19ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/5f92437d-7854-4769-a256-899f9ed1c297.png?resizew=116)
您最近一年使用:0次
2024-03-07更新
|
173次组卷
|
3卷引用:北京市朝阳区2022-2023学年高一上学期数学期末试题
解题方法
7 . 已知
是定义在
上的增函数,若对于任意的
,均有
成立,且
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf98e40f2f23810467a5c599ea62c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836fcad6a6fec95c876177e58d1a916b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81a0bb9174e7784a21e87cc0e07253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d444f3e2aeefc58fdab999c90517189.png)
您最近一年使用:0次
名校
解题方法
8 . 设函数
的定义域为
,且满足
,则不等式
的解集是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc4679a8360516b33a3cb9e86ab25b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390c620c0fd4a2cd8622171bdaf05f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ec6c59e1ce704a29d76726e2674129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd1f61519643b2a62367079f19c6c22.png)
您最近一年使用:0次
名校
9 . 已知函数
,
.
(1)若
的定义域为R,求正实数a的取值范围;
(2)若函数
为奇函数,且对任意
,存在
,使得
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9e7293fb8587e094839da909c19a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5cc9d6a3ef7322540a164a54f066a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7d0bc99c91ce51480ae55134d23db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d307037eb00d11b587b8a4b24923dc.png)
您最近一年使用:0次
10 . 函数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f219ddb85f4385139a9c5c8bc661d93a.png)
您最近一年使用:0次