1 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f4f5e77f6d454d5b08b94bcaa6fdce.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
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2 . 已知函数
,
是函数
的导函数,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8399f466be639dfa3e612466888b64a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() |
B.![]() |
C.若函数![]() ![]() ![]() |
D.![]() |
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3 . 已知函数
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b3a96b04c895dc9078090f03838ed4.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d94d29def0182a6a45cc7e26c08fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb875049c438c32b8a75e8a68fa9af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b3a96b04c895dc9078090f03838ed4.png)
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2023-12-27更新
|
225次组卷
|
2卷引用:广西壮族自治区河池市八校2023-2024学年高一上学期第二次联考数学试题
4 . 若
是
上的奇函数,且
,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.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/9edce3d971ef7faf53aac51504f47fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed57d79c717fc8cf7ede3d9995c98359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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解题方法
5 . 已知函数
,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3b76d469f309c69ba802ab305e8e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e9089e21e10f127e970d8e42e55244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3fe63fcceb0a68ab17caeaedafa9d0.png)
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解题方法
6 . 高斯是德国著名的数学家,近代数学奠基者之一,享有“数学王子”的称号,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
的最大整数,则
称为高斯函数,例如:
,
.已知函数
,
,则下列叙述中正确的是( )
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797715acd30d07aabbed52bd10b234e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a6c086cd67c729ec094c21c0d45a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28f761e18135a17bd53d927b0e83044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc65abc5ba0ee635b3e81fa4e22d3c.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
为奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0758e279e4697644036740209433145b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc31e22586408ceb4424520a09540fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0758e279e4697644036740209433145b.png)
您最近一年使用:0次
名校
8 . 已知函数
满足
,函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289b7441399cf56529d74581d122c06.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dbb70efb53fdd394d7eb8f7720629c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc83bb993e5cce304c8cea67c13d4862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d470cc3189414bd37765dbf17487462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7037a80ac257e708d93faf650e0bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289b7441399cf56529d74581d122c06.png)
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名校
9 . 已知函数
是定义在R上的偶函数,当
时,
.
(1)求
,
的值;
(2)当
时,求函数
的表达式;
(3)若函数
的图象与直线
四个不同的交点,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/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c487295d441397ea078d433e61087cec.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fef5f357f94e1e162cc47a99f9ab1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea09ab225081c171f6d54afec5ffaad9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
您最近一年使用:0次
名校
10 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6642febb5698ad1d9fa7732c8fdd3b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf5c9394ed9d0a7ec21f3690e0e186.png)
A.![]() | B.![]() | C.3 | D.![]() |
您最近一年使用:0次
2023-12-14更新
|
167次组卷
|
5卷引用:广西贵港市桂平市2023-2024学年高一上学期12月教学质量检测数学试题