名校
1 . 下列说法中,正确的是( )
A.若对任意![]() ![]() ![]() ![]() ![]() |
B.函数![]() ![]() |
C.函数![]() |
D.函数![]() ![]() ![]() |
您最近一年使用:0次
23-24高一上·山东德州·期中
名校
解题方法
2 . 已知定义在
上的函数
满足:①对
,
,
;②当
时,
;③
.
(1)求
,判断并证明
的单调性;
(2)若对任意的
,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c282d2ec29ff3e68bb0e6a86be3dadcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0af419f4bc6f089e3304a477589d38.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a2d942312f1ca8309f3d5c1fc74723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
若
使得
成立,则实数t的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279ed5f6b2438703c4f7d6bed938b7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec1054bfc67e95f7d7f438b4c7e167a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5339224735815a194bbe37a5addd7a.png)
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解题方法
4 . 设函数
的定义域是
,且对任意的正实数x、y都有
恒成立,已
,且
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
与
的值;
(2)求证:函数
在
上单调递减;
(3)解不等式
![](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/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbd44036ae82b744139f663cba70c66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fef5f357f94e1e162cc47a99f9ab1e.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e1144bb3e1f12bc644db15799876fb.png)
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解题方法
5 . 已知函数
是定义在
上的偶函数,若
,
,且
,都有
成立,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a074019a75a26e8d6b9147731a29a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f86a07d86215e8e3247abfc1a2392b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75960c635baf21eaab4da1971206dbc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
6 . 定义在
上的函数
满足
,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/190649f360b708442e21c45354a4aec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa8e6290a9e567561ab5d8884994619.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知定义在R上的函数
满足:
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9dbe6c97e2ffd3d4dcd75d138fd95f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
2023-11-17更新
|
245次组卷
|
3卷引用:山东省青岛市西海岸新区2023-2024学年高一上学期期中考试数学试题
名校
解题方法
8 . 函数
为偶函数,且对任意
,都有
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03dd23a8ea7d7dc7f9cb3cd806c6114a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99dd075b66a2db263adf15032bfa036f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-17更新
|
647次组卷
|
6卷引用:山东省青岛市西海岸新区2023-2024学年高一上学期期中考试数学试题
山东省青岛市西海岸新区2023-2024学年高一上学期期中考试数学试题山东省青岛市城阳区2023-2024学年高一上学期期中联考数学试题(已下线)【第三课】3.2.2奇偶性(已下线)3.2.2奇偶性 【第三课】“上好三节课,做好三套题“高中数学素养晋级之路河南省郑州市第四高级中学2023-2024学年高一上学期第二次调研考试数学试题(已下线)专题07 函数单调性与奇偶性综合求不等式范围问题(期末选择题3)-大题秒杀技巧及专项练习(人教A版2019必修第一册)
名校
解题方法
9 . 已知函数
是定义在
上的奇函数,且当
时,
.
(1)求
的值;
(2)求函数
的解析式;
(3)判断函数
在区间
上的单调性,并证明.
![](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/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9a748648e1ab88272407b598bf6447.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f9f223978994ed179e248069aab70d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee97d8c31054a7150199058bc7b45cb3.png)
(3)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9d66d3e635197862dba838da3eb06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f749d8424910c767571310deff8d46e2.png)
您最近一年使用:0次
名校
解题方法
10 . 若定义域为R的函数
满足
为奇函数,且对任意
,
,已知
恒成立,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e135a02718e057f697cff737853c564f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c56126f90de2348821e471585bfca0.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.关于x的不等式![]() ![]() |
您最近一年使用:0次