名校
解题方法
1 . 集合
,若A中元素至多有1个,则a的取值范围是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0371b58ca7f3bf0a21440c656894c.png)
您最近一年使用:0次
2024-02-20更新
|
850次组卷
|
2卷引用:湖北省孝感市高级中学2024届高三上学期期末数学试题
2 . 已知函数
是定义域为
的奇函数,直线
是函数
的图象的一条对称轴,当
时,
,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/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
A.![]() | B.![]() |
C.![]() ![]() | D.方程![]() |
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3 . 酒驾新规来了,2024年3月1日起实施,新国标将酒驾的上限从
降低到了
,也就是说,只要驾驶员血液中酒精含量超过了
,就属于违法行为.某人饮酒后,体内血液酒精含量迅速上升到
,然后血液酒精含量会以每小时
的速度减少,则按照新规他至少经过__________ 小时后才能开车.(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a90d1feee12c646dda31287462493f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402aba6e0fbba6aaa9f37378158dcdf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402aba6e0fbba6aaa9f37378158dcdf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694b54ce3e551124f227765ef51bb818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9fd62e62750b30638385031737f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8f5b560c5cea567a5e5c3462085b43.png)
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名校
4 . 已知
,若方程
有四个不同的解
,
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d6eccfbed60b70b617a2d0f01d4b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f2949d6f33b6adb33e4ca2e85c1a1d.png)
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5 . 已知函数
.
(1)判断并证明函数
的奇偶性;
(2)判断函数
在定义域上的单调性,并用单调性的定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66762b46532b9c7224ce11eb3265f60.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
6 . 已知函数
与
的零点分别为
和
,若存在
,
使得
,则实数a的取值范围是______ .(
是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9e9802ec71e863cde96cf2bcb5750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8dc1e48066c7d2722d3e0e94504155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4184c3549eb113697c3ca15e1cabf85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
您最近一年使用:0次
解题方法
7 . 定义域为R的函数
满足
为偶函数,且当
时,
恒成立,
则
的大小关系为______ .(从大到小排列)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848988f68790e43dc63165b0d2e7abc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4531f8e96fc371f01546325a9f61a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ffc15195be196e8f2398382fd9f959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
您最近一年使用:0次
解题方法
8 . 已知函数
是
上的奇函数.
(1)求实数
,
的值;
(2)判断函数
的单调性,并用单调性的定义证明;
(3)若
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5bb398a901b9c6afbfb25a85b83672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa02bd07e6b393b0e1065d73be9ae9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5775bb155af9aa79e36064f182aa1b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d3991547649fa6b3b33ed0f5736e2f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3683ba2eef13cd17c36cef5161c5a846.png)
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解题方法
10 . 定义在实数集
上的奇函数
满足
,且当
时,
,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/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
A.函数![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.方程![]() |
您最近一年使用:0次
2024-02-13更新
|
450次组卷
|
2卷引用:湖北省武汉市新洲区部分学校2023-2024学年高一上学期期末质量检测数学试卷