名校
解题方法
1 . 定义域为
的函数
满足
,
,且
时,
,则( )
![](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/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() ![]() |
C.![]() | D.不等式![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
是定义为
,给出下列两个结论:①当
时,都有
,则函数
是
上的增函数;②若函数
满足
,则该函数为奇函数或偶函数.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c580c971f63b7ae398f7874cbe7e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69dbd8880f09843f52cc798aa41b8ac.png)
A.①对②对 | B.①对②错 | C.①错②对 | D.①错②错 |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,给出下列四个结论:
①
存在无数个零点;
②区间
是
的单调递增区间;
③若
,则
;
④
在
上无最大值.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0344c83b87cec4e70b5c3729f5b01f5e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f853f6becc68559665b6c357471a3a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551c086811aaa97ac8072a5b138b58b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c93b904a8d6cfea56dbaa491ec4123.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
其中所有正确结论的序号为
您最近一年使用:0次
名校
4 . 已知函数
,
,若对于
,
,使得
成立,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e1c34e767abf34e4e1c1a4e41877ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1faeb99a9feb18755cb3c6ad6b169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd808e2b9846b09bbe9e67bfd82fc0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad3e902bdc48a4e6042deb26c2399f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97223e0fdac3818c661c89dfa8c441f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 函数
对任意的实数
,都有
,且当
时,
.
(1)求
的值;
(2)求证:
是
上的增函数;
(3)若对任意的实数x,不等式
都成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511c6df12471be855702975c45498bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea998345984b6d1bbffa1e667365ed6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
(3)若对任意的实数x,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e3ea33f03473803778f02624cf4328.png)
您最近一年使用:0次
名校
解题方法
6 . 已知定义在
上的函数
满足:
,
,当
时,有
则称函数
为“理想函数”.根据此定义,下列函数为“理想函数”的是( )
![](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/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7493c0fcdc634aa03efb6be277e23769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a07647ee808ddf7bdd0cd25164dd64a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 定义在
上的函数
满足:对
,且
,都有
成立,且
,则不等式
的解集为( )
![](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/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a7c2c68ff0f4fc26f278b6a739b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4c3872583bef56de103e4a4df05838.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
是定义在R上的奇函数,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bffac8a5a466e952c53225fcdc795f9.png)
(1)求
的解析式;
(2)用定义证明
在
上是增函数;
(3)设
,当
时,试求函数
的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0968841c3b9731f5fe1308f9dc7c5023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bffac8a5a466e952c53225fcdc795f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49935236b13167959c3d07f85e098fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8413e920cf1bfa9d49cb1115255f2e4.png)
您最近一年使用:0次
名校
解题方法
9 . 已知
是定义在R上的偶函数,当
,且
时,
恒成立,
,则满足
的m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d44984ab5340c6ca3feeeb4433620e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28967904a688343761d856a8c29d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bce4d2d47cec9d1abd96f12a2c6ab5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a176946b27d0208bc89d92cf1575a6bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
|
756次组卷
|
4卷引用:河北省保定市第一中学第八届1+3贯通班2023-2024学年高一下学期期中考试数学试卷
河北省保定市第一中学第八届1+3贯通班2023-2024学年高一下学期期中考试数学试卷辽宁省名校联盟2023-2024学年高二下学期3月联合考试数学试卷(已下线)第6题 函数性质图象联手,函数不等式对策多(优质好题一题多解)(已下线)专题10 对数型函数恒成立
名校
10 . 已知函数
的定义域为R,对任意实数
,
满足
,且
,当
时,
.给出以下结论:①
;②
;③
为R上的减函数;④
为奇函数. 其中正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/657221948689bc58b72ec871eb1ea1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f451fefd1e370de85a57d30d76fac6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a039b83b7784132b820a32c9894a2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac65ef4b5cdd7370c09f20ec9e59f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c432487864c0f12100e46f20f7f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b2e8e9a0d7febf73fc557adf3f7806.png)
A.①②④ | B.①② | C.①③ | D.①④ |
您最近一年使用:0次