解题方法
1 . 函数①
,②
,③
中,周期是
且为奇函数的所有函数的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c410d77654ba5d20a0061e6e01473a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556dcdef2a0ac4cd872641361547627d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7729fd3f959696dd7774335c6487ece4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.② | B.①② | C.①③ | D.②③ |
您最近一年使用:0次
解题方法
2 . 已知
,若
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490cfac82b9fe4f25306291f5d585bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca55f6d583a4a469a229a24183aec579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 已知
的定义在
上的偶函数,且在
为减函数,设
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c9ad759cdf7169fb9c3d1baa0e3bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdb21c4e3a9c465adcba9c413b2c606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 函数
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de92f70b83a70c553651b2dac4c91c3d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-27更新
|
981次组卷
|
4卷引用:重庆市九龙坡区重庆实验外国语学校2024届高三下学期入学测试数学试题
名校
解题方法
5 . 已知函数
的定义域为
,
,满足
,
,令
,设当
时,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea944fa5b7030c92f0d06e7e15c1c135.png)
(1)计算
,并证明
在
上单调递增;
(2)对任意的
,
,总存在
,使得
成立,求t的取值范围?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f21febe8749e5e598124c2f6bb4025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c137b664f5c1b3368a55c3e7adb1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5409f79d5899f4822deaf275df1739c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea944fa5b7030c92f0d06e7e15c1c135.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006dd721f6e19ee105cf6e3a10b69c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a47fb2689296e12a46e6a9b65e74ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e805e0506d37973afc0664ae0a6af0.png)
您最近一年使用:0次
2024-01-25更新
|
374次组卷
|
2卷引用:重庆市渝中区巴蜀中学校2023-2024学年高一上学期1月期末数学试题
名校
解题方法
6 . 下列命题正确的有( )
A.![]() |
B.函数![]() ![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.若正实数a,b满足![]() ![]() |
您最近一年使用:0次
名校
7 . 已知函数
为奇函数.
(1)求m的值;
(2)判断并证明函数
的单调性;
(3)若对任意的
,不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c88cd33298b2e143eb61cb077a3782.png)
(1)求m的值;
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c53b6859f2144e91d79f0d6467dfba1.png)
您最近一年使用:0次
名校
8 . 已知函数
.
(1)请用单调性的定义证明函数
在
时为单调递增函数;
(2)若关于
的方程
在区间
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519192532883d560482ad071e7b54c4.png)
(1)请用单调性的定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50efdb8cba75f37eaa54e5ff12a1fd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e633d6629e01cb284375c6879f94daf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 已知函数
.
(1)求函数
的单调递增区间;
(2)是否存在实数
,使得不等式
成立?若存在,请求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2147c9f27eed1c4dd88aa8cdc5e62a42.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e10dce73bdc1d522ae7cb34805ed3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381b3fe36041df9894185a1defd3ab84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
10 . 已知函数
(其中
),若
是
的一个零点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8745ba71aad311dc6c80785d8c00b729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5534f57f932cb4c2198c5be29c6fce1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fe8922cddb1c5cd6920db7504aa318.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次