解题方法
1 . 已知集合
,
.
(1)若
,求
;
(2)若“
”是“
”的必要条件,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97a364fe3348933be396a0261a9e217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973e8173f5b67e01f9cebd9d868d3c52.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe344fe369fb629b89eb956c85498ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知整数
,集合
,
,
,满足
,对任意的
,都有
且
.记
.
(1)若
,写出两组满足条件的集合
,
并写出相应的
;
(2)证明:
;
(3)求
的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652fd852e080c91df90888d0449d63d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7bb58dca886fc65d874e2b30040c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906607b8f6606742f496f73fff2ffd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431acf301f0cf1e414b532de94708474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd31439e275791f4fcd3d22b5ae30ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab4a9bfa50054c808dd8190305d0abd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607a272bff596f86f25dd99f5a69fbbe.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
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名校
解题方法
3 . 已知全集
,集合
,
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6343b1b692a2aa0be1676b6e558528e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1b04fe7c9d7016bd6d8ff8cb43e2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0b4ea7fcd308ded69e13ef867f56b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9582a10737df8c30950e019d985fa3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
4 . 已知集合
,
,
.
(1)若
时,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25e44edd0d86032d2f501944f2a4434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94540a0f78c2525d9a37db3d283358de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660683eacfb0d1ad6a2fde9ea61b0a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-04-24更新
|
671次组卷
|
3卷引用:河北省保定市定州中学2023-2024学年高二下学期五月半月考数学试题
名校
解题方法
5 . 已知集合
,集合
.
(1)若
,求
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3049af050759a54176d91fd540a90d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d4218ecbad0ec5411cdb9e30085bc7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
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2023-10-22更新
|
412次组卷
|
6卷引用:河北省沧州市泊头市第一中学2023-2024学年高二下学期6月月考数学试题
6 . 设全集为
,
或
,
.
(1)求
,
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542ded696beb9bf4b17c2a1b3ad9cb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cf5ab959efb5b142e21ccfb3182964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0352b82fedceb259f86aa3ee333671e3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e51df3cabc8995ee1ab57845967bc2d.png)
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2023-10-15更新
|
78次组卷
|
2卷引用:河北省尚义县第一中学等校2023-2024学年高二上学期10月阶段测试数学试题
解题方法
7 . 设集合
,
.
(1)若
,求实数
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0298edb69a6f54c0d180fc3bcf407aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c15ad6e739fe549b10f7447d12380cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc992c9e51d4b22232adf6bb5c8055a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
8 . 已知集合
.
(1)当
时,求
;
(2)若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a85f0633177ea0a27b2810ab3062b6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67942a923fbfb7b997160b13f1fba776.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
9 . 已知集合
,不等式
的解集为B.
(1)当
时,求
;
(2)若
是
的充分不必要条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c344e2a4c96b506a3749c15b936c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d823324ccaf02ac18e4a68db50f38fd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023-08-12更新
|
757次组卷
|
2卷引用:江苏省苏州市常熟市王淦昌高级中学2022-2023学年高二下学期5月月考数学试题
名校
解题方法
10 . 已知全集为R ,集合
,
.
(1)求
,
;
(2)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04a0eedfaabd2127ec8f1ce19435ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f21cfcd1b974ed8684e4024a8f182.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5dcaadf91ee693ea88f7cb6901d14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07241606934d6c75cf04455979d0e1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-23更新
|
776次组卷
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10卷引用:山西省太原市英才学校高中部2021-2022学年高二下学期6月月考数学试题
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