解题方法
1 . 已知集合
,
.
(1)若
,求
和
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40468d38d9181e9fd0bd8b20ad66099e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecc04939f48a3b086dcee7975ac860a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.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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2 . 已知集合M,N的关系如图所示,则下列结论中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/1ae38ffb-98ba-4ea4-80ff-4970cab75f7c.jpg?resizew=156)
A.![]() | B.“![]() ![]() |
C.![]() | D.“![]() ![]() |
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解题方法
3 . 已知集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3ebf66acec98af5a2e887de7519558.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3967d620e2fef3ecc724c66e29f68a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda922978abb112ea099f28ff9ec1170.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 设全集
,集合
,
,
.
(1)当
时,求
,
;
(2)若“
”是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d56ebadb728afc5effd9407a2e1368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd5823cf4ed6b07997494037364a6ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9ee4df3cd0c5982eec8be19e136130.png)
(2)若“
![](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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解题方法
5 . 已知集合
或
,
,
.
(1)求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f331737fe6372f205c7e9bce500d848d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce601831dd08d4d648ae443d0418413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d133c64e0a654eec3fd56867b528bc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efeec40210e92cf186ae4974dda8c458.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e968937d457d9e2237b401077ff224a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
6 . 已知集合
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d526dc4dbd0528cffe2550ea701ff70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80789cb1f7af04f2aeea4f5fd950994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182738e8b0915e50c3a87054ec6eba8c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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7 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f064f4f36a5651487f712aca91d1719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c7395bf7010c5a5d5881a2e4571300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8886b10cead40b74e606c06d76efa2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 若集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22b113bb78cacf6415d090137d3815e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a66795c534f1847e3370e6c42c61c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aeaf0a9940a02184ab49efe71e8e81b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7160981cd1de091582809c27c3a05fc.png)
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7160981cd1de091582809c27c3a05fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eceac03b1f703d7666d91f1fc952cfad.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
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10 . 设全集为R,
,
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea6cd440724a3059db805bc5238389e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2014b15c8370510f7c30c30fcd7951fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d85b8aedaaf52431bd872d45efa52dc.png)
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