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1 . 已知集合
,若
中恰有两个元素,则
的取值集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75dfc1ef4c9ed83343f3708137c1b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4afabfd5b4885311f8d9a4bcf791b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cbe7f4cc184e130c4eac7ed75eb8cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb1aca774c04bd0599d77a1c0c9b43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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甘肃省白银市靖远县第二中学2022-2023学年高二下学期期末数学试题辽宁省朝阳市凌源市2022-2023学年高二下学期期中数学试题西藏林芝市第二高级中学2023届高三第四次模拟考试数学(理)试题辽宁省实验中学2023-2024学年高一上学期10月月考数学试题(已下线)期末真题必刷常考60题(34个考点专练)-【满分全攻略】(人教A版2019必修第一册)
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3 . 设
,
,若
,则实数
的取值范围为______________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea1c31d13c9f51506a54a277c5f6936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484fbe01480e5e21ed9bbeff17e2ed4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dd4e6408e7c609533c97cb3aa012fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3卷引用:甘肃省兰州第一中学2021-2022学年高二上学期期中数学试题
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4 . 已知集合
,
.
(1)若
,
,求实数
的取值范围;
(2)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841d2e3e2078181a22bf6a5fae15d623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca87836f035a18b136bfae2f8c58167.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fc0aa8b821a3061a835ab15e79d0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9d82d19ddbec3a1751d8e91c8551e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07602589b781fde8ec507b5912d144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9126c394e4f3d4255fc7a5db3fbc75e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-08-03更新
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名校
解题方法
5 . 已知集合
,
.
(1)若
,
,求实数
的取值范围;
(2)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174442d642e8a0ad42340ecee5cb6aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c946f2d3ddfde2181f2ec0170b01e7e8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fc0aa8b821a3061a835ab15e79d0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9d82d19ddbec3a1751d8e91c8551e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07602589b781fde8ec507b5912d144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9126c394e4f3d4255fc7a5db3fbc75e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-08-03更新
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2卷引用:甘肃省武威市民勤县第一中学2019-2020学年高二第二学期期末考试数学(理科)试题
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6 . 已知集合
,
,
.
(1)求
;
(2)若“
”是“
”的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f8b74eda1ef0812b7c6c2f17bc137c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff3d2c47bf6ad1fa5370ce801df3cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbf2806672ce6ee02d3e05c8da6931e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
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2018-06-30更新
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4卷引用:甘肃省武威市凉州区武威第一中学2019-2020学年高二上学期期中数学试题
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解题方法
7 . 已知集合
是函数![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/98d2ae16cc4a45e19d5eb28eaeae39ed.png)
的定义域,集合
和集合
分别是函数
的定义域和值域.
(1)求集合
;
(2)若
,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/3e2d46511e984c72a58af60262ce5a28.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/98d2ae16cc4a45e19d5eb28eaeae39ed.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/24fc03b6d0564b83b74113c6d266c077.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/1c1439cdaa4b4ce2a26c1bdb848cd1ac.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/eb55e03a458f4a6091a0328c32106af7.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/d4b530c60e5646c3a9a3b09a63c4ea7d.png)
(1)求集合
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/255a8795fbec427d92e25a1b16bd105a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/0f73e068d2954fba848a847c1a0d211b.png)
![](https://img.xkw.com/dksih/QBM/2016/5/10/1572630451609600/1572630457393152/STEM/faad7ecd06d9432aafe1192cb5752c3e.png)
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2016-12-04更新
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4卷引用:甘肃省武威市第六中学2016-2017学年高二下学期期末考试数学(文)试题
12-13高三·天津·阶段练习
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8 . 设集合
,
,若
,则实数
取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6c66464a69328354720eaf9fcd4be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd81fb3049eadea9d234d5218eab0582.png)
![](https://img.xkw.com/dksih/QBM/2013/3/8/1571133057122304/1571133062619136/STEM/b120fb402b26474283843f8146e3b285.png?resizew=73)
![](https://img.xkw.com/dksih/QBM/2013/3/8/1571133057122304/1571133062619136/STEM/96cb545195bf461f9ce71aee4e4b2ce2.png?resizew=13)
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5卷引用:甘肃省民乐县第一中学2021-2022学年高二下学期期中考试数学(文)试题
甘肃省民乐县第一中学2021-2022学年高二下学期期中考试数学(文)试题天津市红桥区2016-2017学年高二下学期期末文科数学试题(已下线)2013届天津市天津一中高三第三次月考文科数学试卷(已下线)2013届天津市天津一中高三第三次月考理科数学试卷天津市红桥区2016-2017学年高一下学期期末数学试题