名校
1 . 已知集合
,则图中阴影部分表示的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e147b100e24e6ecbd79c395e5946477b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知全集
,集合
,
,则图中阴影部分表示的集合的子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c997afeb2e9be9c16822ab852dfafe6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5990fe8270a3cd33f089e889f68792db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5df737e4d0cc03539294d74eef9c35.png)
A.2 | B.4 | C.8 | D.16 |
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3 . 函数
的定义域是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df95f2230efaca4ac617849f60f24a1.png)
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4 . 已知实数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d82511a3c87baeecfc0a19557d6505.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 设
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3e2274288267aa73ddb003b040962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490c299f7753b55d7885ba9bcace0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 已知集合
,集合
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9417cedaddfa98c7a0737ea7f10ed62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfdd3d1f0dd2aa9ec90486ca0efe96ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.0 | C.1 | D.2 |
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2024-06-11更新
|
463次组卷
|
2卷引用:重庆市2024届高三第三次联合诊断检测数学试卷
名校
7 . 已知集合
,集合
满足:①每个集合都恰有4个元素;②
.集合
中元素的最大值与最小值之和称为集合
的特征数,记为
,则
的最大值与最小值的差为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8ba1e4fc97b6aae170ba402f00a06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa157b4f65f3a9aa1f7f82de02e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d343d79a12548d8e4f5b1dd6dd9bf2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed5791766a68be89ceda7f1505e4fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977596d92064cd96041927d539b09731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eced34833fc5ee8ad2c6817ced270988.png)
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8 . 给出以下两个数学运算(符号)定义:
①若函数
,则
,其中
称为函数
的
次迭代.如:
.
②对于正整数
,若
被
除得的余数为
,则称
同余于
,记为
.如:
.
(1)若函数
,求
;
(2)设
是一个给定的正整数,函数
记集合
.
①证明:当
时,
;
②求
并猜想
.
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac36cc9de2d52fa81b310df3c137559f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbc5dcd0b5d4e94cb92e52ca31f0cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b956f95d6cdcded732751d6d74c14cab.png)
②对于正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ace40e2e209924905e48bf00df631f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b539bc9386988afc25da70e13ae899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706057125d5d481d23b0319e10e2d936.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08e564833f8450a876460a6db43dad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91f1470cecf7c4da36644e5244775bf.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44a1741d645756e39740a0818412e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208bd4b35f6be79500cdf5d8e433e449.png)
①证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b94f6525788e512dbc8121c49b46bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502416314c8c26f8442e639ea6a5db13.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
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名校
9 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70fa52cd342cbbc42631249029bb209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
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解题方法
10 . 已知函数
是定义在
上周期为4的奇函数,且
,则不等式
在
上的解集为( )
![](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/6397f2f9af060cab49c86e275c613b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2bf1841d4f1e5fb368429476d81dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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