1 . 已知函数
是定义域为
的偶函数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
______ .
是
的导函数,若对任意
,使
成立,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105068fe440b555880e9c566e6fd3f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57457379efecec3a8f98377bc5c65d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77b740391108ac5e4d36461efac4578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc59b5d33285b96b0cc21094aaa18572.png)
您最近一年使用:0次
解题方法
2 . 已知函数
的定义域为
,对任意的
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274c8d81c4c746222a2b904812872bf0.png)
成立,则函数
的奇偶性是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd423a80d5b6fea8753fa1813cfbcc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274c8d81c4c746222a2b904812872bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a03c24a03a215d5df388b1e27e396f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.既奇又偶 | B.非奇非偶 | C.奇非偶 | D.偶非奇 |
您最近一年使用:0次
解题方法
3 . 已知实数满足
,则
您最近一年使用:0次
4 . 给出两个命题,
的充要条件是x为正实数;
奇函数一定是单调函数,则下列命题是真命题的为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f191fab7bf50e2fafc70a8b9c4af9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 函数
与
有相同的定义域,且对定义域中任何
都有
,
,若
的解集是
,则函数
是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3dfb9993f0852e443ea196e974013d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575ffea9b7e3bf4b24702636cab7c768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd1cc9b247baaaf4c0546c8e4ade778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a716ffb733177a3c68f2ee0a4f804676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022eda16d9f22bbcad69370c45266f34.png)
A.奇函数 | B.偶函数 |
C.既是奇函数又是偶函数 | D.非奇非偶函数 |
您最近一年使用:0次
解题方法
6 . 设
为定义域为
的函数,对任意
,都满足:
,
,且当
时,
.
(1)请指出
在区间
上的奇偶性、单调区间、最大(小)值和零点,并运用相关定义证明你关于单调区间的结论;
(2)证明
是周期函数,并求其在区间
上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a3556b7e9458ec54d4cf1de17a5649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea832b11f5a84b9bf3020271480631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24e7a6926a39f7be015218876573b63.png)
(1)请指出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd765b568d695310edf942421a1cf499.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
是奇函数,
是偶函数,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知定义域为
的函数
对任意实数x,y满足
,且
,
.给出下列结论:
①
;②
为奇函数;③
为周期函数;④
在
内单调递减.
其中正确结论的序号是________ .
![](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/78f5b5aa74208b18399435a543002426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c879973db567946338de32220d337fec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401e5dd64d69d1667944bd40d606eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
其中正确结论的序号是
您最近一年使用:0次
2023-06-01更新
|
999次组卷
|
5卷引用:数学奥林匹克高中训练题_107
数学奥林匹克高中训练题_107北京名校2023届高三二轮复习 专题二 三角与平面向量 第1讲 三角函数的图象与性质(已下线)模块四 专题4 暑期结束综合检测4(能力卷)(人教B)(已下线)专题2-1 函数性质(单调性、奇偶性、中心对称、轴对称、周期性)-2(已下线)专题07 任意角、弧度制、三角函数概念及诱导公式2-期末复习重难培优与单元检测(人教A版2019)
解题方法
9 . 已知
,设函数
.
(1)判断函数
的奇偶性;
(2)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/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9b0e3debae05fa8abca30f763ae583.png)
(1)判断函数
![](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/96e1b7e42cfa05fa9a5c13a10bc0317c.png)
您最近一年使用:0次
名校
10 . 已知
,
,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fff76a82efd3cb49b3bc016ebb876e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244f3f01fbc161563b7979494b5e7e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2022-09-19更新
|
692次组卷
|
2卷引用:2022年浙江省温州市摇篮杯高一数学竞赛试题