名校
解题方法
1 . 已知函数
及其导函数
的定义域均为
,记
,若
为偶函数,
为奇函数,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/736d036633fbc1a73bce894b2bafd194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac73dd4e4fd1454295195f797d51d2c8.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知定义在
上的连续函数
满足
,
,
,当
时,
恒成立,则下列说法正确的是( )
![](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/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc618aed879210685c9202520b85a833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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解题方法
3 . 已知定义在
上的函数
的导函数为
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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名校
解题方法
4 . 已知函数
,
的定义域均为
,且
,
,若
,且
,则下列结论正确的是( )
![](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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d32660dd4213ea3cef00bdb1b5945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa35d36bb6c23bed30fc011aa1b551c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cf8b42c926b0a8f0e56f993ab16e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0398b85069cfe90af690033937a8e0fb.png)
A.![]() | B.![]() ![]() |
C.2是![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 定义在
上的函数
满足:
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d80288ee2d2ffcd597454c2fe3fa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ae637ab2db7442c4fafb163c992e38.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
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名校
解题方法
6 . 已知函数
和函数
的定义域均为
,若
的图象关于直线
对称,
,
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3c1578b7486f0d902bfae647400467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68d61a58d3a5cb875e6a5db10696f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c604e54fb41e01bf1a0ac6ee332a7469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
A.![]() |
B.![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.![]() |
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名校
7 . 高斯是德国著名数学家,近代数学奠基者之一,享有“数学王子”称号,他和阿基米德、牛顿并列为世界三大数学家,用其名字命名的“高斯函数”为:设
,用
表示不超过x的最大整数,则
称为高斯函数,例如
.已知函数
,函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff0dd2ec74bbc3bf820885e15b6b080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bed8a0505d06c0404469d92dd1be71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc65abc5ba0ee635b3e81fa4e22d3c.png)
A.函数![]() ![]() |
B.函数![]() |
C.函数![]() ![]() |
D.方程![]() |
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名校
解题方法
8 . 若函数
的定义域为
,且
,
,则( )
![](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/c3f834f36c4c8e9b28bce6337db9e95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b9fb8d0d88ca7a90df7c1f5d524a95.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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2024-04-15更新
|
512次组卷
|
3卷引用:河北省邯郸市永年区第二中学2023-2024学年高二下学期6月月考数学试卷
名校
解题方法
9 . 已知
是奇函数,
的图象关于直线
对称,则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c84057882768f20a01365c81b6760.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 若定义域为
的函数
满足
为奇函数,且对任意
,都有
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc0326f9132e97759b4bd0f130ac116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b6fbd08afa059e0fd6196f6a5b8c31.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.关于![]() ![]() ![]() |
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