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1 . 下列命题为真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若随机变量![]() ![]() ![]() |
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2卷引用:湖南省永州市部分学校2023-2024学年高二下学期6月质量检测卷数学试题
2 . 已知集合
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dafc1612956e58136e2169e484379ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db826a9d9cb6add9168bf84e9c5e7c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 若
,
是两条不同的直线,
是一个平面,
,则“
”是“
”的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dedfa42c16dd0aefa2928a6e41f3dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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解题方法
4 . 对正实数
,若定义在
上的函数
满足:对任意的实数
,都有
,则称
是“
增函数”. 现给出如下两个命题:命题甲:若对一切正有理数
,函数
均为“
增函数”,则
是
上的增函数,命题乙:若对一切正无理数
,函数
均为“
增函数”,则
是
上的增函数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4317d70f0927bad41f61019c9e2e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](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/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
A.甲是真命题,乙是假命题 | B.甲是真命题,乙是真命题 |
C.甲是假命题,乙是假命题 | D.甲是假命题,乙是真命题 |
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5 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54de2455dfd7028974f0b9254f9299a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d0a7fab64bbd0b5c7b74b5d15157bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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6 . 已知集合
,其中实数
是常数.
(1)求集合A与集合
;
(2)若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea3ac2f45b27e6f22bddfdc1ca0ef72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求集合A与集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知
是实数,则
的一个必要非充分条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 含有3个实数的集合可表示为
,又可表示为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e999b561583b4e422de4415d6e5b110.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40918974b3dd39f686bf1d6962490664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac5ed38ebb5096affd6682970433ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e999b561583b4e422de4415d6e5b110.png)
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9 . 已知命题p:
,
,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2f4895608ae6ac3b32ad28c8e76921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fa6ff4a243816c78d595534f1a1ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
10 . 设全集
,集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1cca6339c5856ce75b91f032e90551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e40b430ead18cee0e3fe6056e533708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fed3bd5bc925cf990e057f43395bff.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2卷引用:湖北省宜昌市夷陵中学等校2023-2024学年高二下学期5月联合测评数学试题