名校
1 . 已知函数
.
(1)判断
的奇偶性并证明.
(2)当
时,判断
的单调性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a653539b7d09464e5ec82d80cee075aa.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-12-15更新
|
215次组卷
|
3卷引用:山东省泰安市新泰第一中学老校区(新泰中学)2023-2024学年高一上学期期中考试数学试题
解题方法
2 . 已知定义域为
的偶函数
满足:当
时,
,且
.
(1)求
的解析式;
(2)用单调性的定义证明:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2719a19dbf95579ec07899e870fead7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1982786864f37e6f954e8d70f9970620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f247866d4020ed309d4e4d121ce445.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用单调性的定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
您最近一年使用:0次
2023-12-15更新
|
162次组卷
|
2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
解题方法
3 . 已知函数
的图象关于原点对称.
(1)求实数m的值;
(2)用定义证明函数
在定义域上的单调性;
(3)设函数
(
且
)在
上的最小值为1,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662ac65a8888d53333b6e90457dc389.png)
(1)求实数m的值;
(2)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75ed4daf6da6d321b53223bee9c47f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc230ebb8474891d4994e868417b88d.png)
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名校
解题方法
4 . 已知函数
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c18aae94c7f0eea7a3bd621fabdfe66.png)
(1)求
解析式;
(2)判断并证明函数
在区间
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b32f72cee5aad094a0b157a58973cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd3268af15ab4df65fbf5a469ff58ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c18aae94c7f0eea7a3bd621fabdfe66.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
您最近一年使用:0次
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解题方法
5 . 定义在
上的偶函数
满足:对任意
,
,有
,且
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a074019a75a26e8d6b9147731a29a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421d09d767fd89ecd9aa1f166787c16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13680c4c00ba1780911bfa92b717270a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8117da036c0dc34fc2ee5d54a8b836c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知
,
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d01cb00904ee16178c7c35d7e0a8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9f6830fffeb9004f354059c80546f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b384e8881221a14de8f458c529b77e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502447998d6c0767e9f74e6b9e3ee84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-10更新
|
719次组卷
|
4卷引用:山东省菏泽市菏泽三中2024届高三上学期12月月考数学试题
山东省菏泽市菏泽三中2024届高三上学期12月月考数学试题广东省东莞市东莞中学松山湖学校2023-2024学年高一上学期12月段考数学试题广东省深圳市深圳大学附属实验中学2023-2024学年高一上学期阶段考试数学试题(已下线)热点2-1 函数的单调性、奇偶性、周期性与对称性(8题型+满分技巧+限时检测)
7 . 若
为定义在
上的单调函数,且满足对任意
,都有
,则
的值可能为( )
![](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/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8885d450ada651aed472ce520907a87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347bb4ffedcbea2f4c16d047a138d75.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
8 . 函数
的单调增区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cba5b11ece87f1a159291a3fbfd783e.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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9 . 定义在
上的函数
,满足
,且在
为增函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa500a0c235dd51b76d9f7f22ac8559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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