1 . 已知函数
具有以下的性质:对于任意实数
和
,都有
,则以下选项中,不可能是
值的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2469a3ff9552ad17fa8cf8b54b6d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
A.![]() | B.![]() | C.0 | D.1 |
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名校
解题方法
2 . 函数
的图象可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06a8b639b5e12c120508cb019430743.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
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237次组卷
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2卷引用:上海市位育中学2023-2024学年高二下学期期末考试数学试卷
名校
解题方法
3 . 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 |
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解题方法
4 . 已知函数
,①若函数
有最大值,并将其记为
,则a的最大值为
,
的最小值为
;②若函数
有零点,并将零点个数记为
,则函数
为偶函数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e1b7dba1dfcdcc45a6e2c8c9e37175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e027a112d5a4aaaa510d38f3bcfd0311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e027a112d5a4aaaa510d38f3bcfd0311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619feadea70fc427acafbb7b8e10c47b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812e6b48ae696cc64924b993176caf57.png)
A.①成立②成立 | B.①成立②不成立 |
C.①不成立②成立 | D.①不成立②不成立 |
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解题方法
5 . 已知函数
为偶函数,若
,则a不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8804c29cde53b555485dc37f28eef1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
6 . 已知
是定义在
上的偶函数,且当
时,
,则当
时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34c2b39417163191b29820cb4d91100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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7 . 命题1:“
为函数
的极值点”是“
为函数
的驻点”的充分不必要条件;命题2:“可导函数
为奇函数”是“导函数
为偶函数”的充分不必要条件( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.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/724340d69477c0ec2418c392b22b1cab.png)
A.命题1命题2都正确 | B.命题1正确,命题2错误 |
C.命题1错误,命题2正确 | D.命题1命题2都错误 |
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解题方法
8 . 对于实数
,用
表示不超过
的最大整数,例如
.已知
,
,则下列3个命题4,真命题的个数为( )
(1)函数
是周期函数;(2)函数
的图象关于直线
对称;(3)方程
有2个实数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/14c3c9174a9038131d112eb04acb5ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0442f1b1871e1f5ef8227483ccda7ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc65abc5ba0ee635b3e81fa4e22d3c.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a2ec02caf837c6e7e0b76dd9acc7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f2219a4ab564bc88592bfbd8448fd8.png)
A.0 | B.1 | C.2 | D.3 |
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解题方法
9 . 已知函数
的定义域均为
,且
.对任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058fbc27ee9654d24ebda3d9e6991266.png)
均有
成立,且
.则下列说法正确的个数有( )
①.
②.
为奇函数 ③.
的周期为6 ④.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71dd8c75b88e1e78b1e7d7f533ec1e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e464e4ebfdd0df3d20fac016e6d8e202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058fbc27ee9654d24ebda3d9e6991266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ac578f0cf15ced8b273600a28fe10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f027be3284fe692713d28bc1af0b8b.png)
①.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71dd8c75b88e1e78b1e7d7f533ec1e29.png)
A.1 | B.2 | C.3 | D.4 |
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10 . 设
,
利用函数单调性比大小,可得( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebb1cba4330a751090bbd321e7acd15.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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