名校
1 . 函数
的最小值为__________ .(其中
表示
中较大者)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53baffde104a61731e43b75da8519378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a477a57d5253d22006c85ede1f5575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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解题方法
2 . 已知函数
是定义在
上的偶函数,当
时,
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62efb99971badf1c07858a6eb3828edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff3f6e7c4214fd1d24c58e2c3bdb834.png)
A.当![]() ![]() |
B.![]() |
C.存在![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
2024-03-21更新
|
161次组卷
|
2卷引用:广东省汕头市潮阳一中明光学校2023-2024学年高一下学期5月月考数学试题
名校
3 . 已知
表示不超过
的最大整数,例如
,
,
,定义:若
在
上恒成立,则称
为函数
在
上的“面积”.函数
在
上的“面积”之和与下面哪个数最接近( )
(注①:“面积不重复计算”;②
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525c5748729c08162cf70b7c746b6bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3420606c96b68fb884c839923fd20a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba5e494c2c83e3ddccaeb9db064d97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b3b1de98d3b8ae747fc3a84eba1409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2b928207032b07ad21d22f57f61a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b639b8a34097101c0a4767ea34c13884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca239cc0ad2f7e33c53f9225bd6025e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec46ebb0e0080f2d8d9d6b4427de9823.png)
(注①:“面积不重复计算”;②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef54b17e2c8d7af5af2fe814d4abc20.png)
A.7.3 | B.7.7 | C.8.7 | D.9.3 |
您最近一年使用:0次
名校
4 . 函数
的定义域为
,且满足
,当
时,
,则( )
![](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/322eb46d949b9580bcc057d146b7fc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010c9c6a08c8a26cbb84b28062eced4e.png)
A.![]() |
B.![]() ![]() |
C.若对任意的![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
5 . 已知函数
的定义域为
,且
为奇函数,
为偶函数,
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51de9cc1dd10349dda997561f937308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5c08b7a5a4d990fae8935d17e5920b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512c60d122d0b16427342ae06c93fda5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49e3d0607b37b7b138e5ebff7d05e66.png)
A.4036 | B.4040 | C.4044 | D.4048 |
您最近一年使用:0次
2024-03-20更新
|
2698次组卷
|
8卷引用:山东省菏泽市单县第一中学2024届高三下学期3月月考数学试题
山东省菏泽市单县第一中学2024届高三下学期3月月考数学试题安徽省芜湖市安徽师范大学附属中学2024届高三第二次模拟考试数学试题安徽省天域全国名校协作体2024届高三下学期联考(二模)数学试题(已下线)专题1 巧用性质 对称求和【练】(已下线)模块3 第4套 复盘卷(一模重组卷)(已下线)安徽省天域全国名校协作体2024届高三下学期联考(二模)数学试题变式题6-10重庆市开州中学2024届高三下学期高考模拟考试(二)数学试题(已下线)压轴题01集合新定义、函数与导数13题型汇总 -1
名校
6 . 已知函数
,给出下列三个结论:
①当
时,函数
的单调递减区间为
;
②若函数
无最小值,则a的取值范围为
;
③对于任意实数a都存在
,使得
;
④若
且
,则
,使得函数
恰有3个零点
,
,
,且
.
其中,所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c83ff6a0475359830bd50b011083a83.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4280adea02588850b0a1af4844fcea.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
③对于任意实数a都存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bd0db53922a4a6cd2c6b9a852c7b59.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260157f4f23945c0b62c242b25a9291b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5dd61c610ec4b911b744912240d860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2235f37715b279806cbb989c205abb44.png)
其中,所有正确结论的序号是
您最近一年使用:0次
解题方法
7 . 已知函数
满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4d176cd4cefa84cd1cec0163689703.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024高三·全国·专题练习
名校
解题方法
8 . (多选题)定义在R上的函数
和
,函数
的图象关于直线
对称,且满足
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37950050b19e5d0e959855c06824bfcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00c5df0000b36c11bebffcaebc7ad96.png)
A.![]() | B.函数![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知
是方程
的两个解,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477a1c57280b76b87bc308bcc98081d9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-13更新
|
224次组卷
|
2卷引用:辽宁省名校联盟2023-2024学年高一下学期3月联合考试数学试题
10 . 已知函数
对一切实数
,都有
成立,且
,
其中
.
(1)求
的解析式;
(2)若关于x的方程
有三个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587d3909a3d586e11cd3e902066976d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fae86b38bf45a6ddf9986a7ce6b2a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7220590606af8fd2cce75eb84d720ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac1b64cb76717bd87cd068fbaf1cf6c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdc09bc9e98f39d2019c114ee666b10.png)
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