解题方法
1 . 已知集合
.
(1)若
,求实数
的值及集合
;
(2)若
且
,求实数
和
满足的关系式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af81a864c252dafac22c68e4ca136ba5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44ef606f4c60db51a5861800b8696e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52854d0ead4737302f4b4706e1f80553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解题方法
2 . 已知全集
,集合
,
.
(1)若
,求
,
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb67f3d9fd7cc3624d3ed175ab17885a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe96fed79430b1d08ca2fb9fcf09cc9d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dcaae636a53f3d590e5c64ffeeee57.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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3 . 已知全集
,集合
,集合
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3344b4b2541031b88aa04025bbcd82c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500f2d5fbff755afe7b8e64d1f71cd5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e7b8a0677463b01fd0a39ce50461.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81919684bc4047d376c7e57dc6c8f1c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5f52e8d5cf759d2b7e7c4d56419a3e.png)
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解题方法
4 . 已知集合
,
.
(1)当
时,求
;
(2)当
时,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940581e270411226564af4a44692077e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b702bfc6781b6eacf37a96a54f24f25f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
5 . 已知集合
.
(1)若
,求实数m的取值范围;
(2)若AB,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5ae85e3df1bf94732d3f416bbd07fe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
(2)若AB,求实数m的取值范围.
您最近一年使用:0次
6 . 已知函数
的定义域为集合
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68926461f657c4821fb8fc193d6f951f.png)
的值域为
.
(1)当
时,求
;
(2)若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ceb3f9313a3eb416461d7915aa9168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68926461f657c4821fb8fc193d6f951f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b083d22b48257ef11c79fb6f70a993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 已知全集
,集合
,
.
(1)若
,求实数a的取值范围;
(2)命题p:
,命题q:
,若q是p的必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a57eb08cfad83808a9774a19e8dc9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32d1d530c41c612020723d003890dd7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(2)命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
8 . 设集合
,
.
(1)当
时,求
;
(2)若“
”是“
”的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad0f7c904d295ebe1eb561e1f0b7306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc9aa24114098ff9bcc76fb80edbd70.png)
(1)当
![](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/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
9 . 已知集合
.
(1)当
时,求
;
(2)若“
”是“
”的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3acef6002b5f9d83c4cc737cff3b773e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548f1883285d532a7ac0dadf51bd93ae.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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
10 . 设全集
,集合
,
.
(1)求
;
(2)若集合
,满足
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ccaf2fb1174d9314c3e9b07846059c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44cc0761baaf9cbc3d51e3555899d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95b190168182e7e3bbe9ada6184f0fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8462b3f8951471286a9e6c19641603e8.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752dcd53de312545e93184d9b0d5654c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e968937d457d9e2237b401077ff224a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次