已知集合
,
.
(1)若集合
满足
,求实数
的取值范围;
(2)若集合
且
,求集合
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aff36414a79e921bb1704f66a10d7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0943ca9eacd8e0718e6d3091c0b3c21e.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e74922fbb87ba3ca6219ee88f54bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f569c191a60a39899b5056aaa74b9f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c677966eb521127051ab6ae9305d30e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575ccb82c1fde57de0d46c184cdfb61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
更新时间:2021-02-04 09:02:18
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相似题推荐
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【推荐1】已知集合
,
.
(1)求集合
和
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(2)集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4ab8d2a848aafa89c4fe57075afa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01b79285e56a7ada3cfec0f51e04af2.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6fc5b75e778d4a5a07ab833563fa42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e544b1304a6bbc87283cf741f134cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】设
,集合
,
=
,
(1)若
=1,用列举法表示集合A、B;
(2)若
,且
,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed20c732f5c2b42262fc6f5f8ffdaddd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d465356f7da2e9b841d232609ed18f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】已知集合
或
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(1)求
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944f2e34bac486689b2e30445a2df228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fb3d491a81b148f8988f9d04c4a13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c83643d7d0a51eccba7fc7c2895d106.png)
(1)求
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(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423e6ea58e05dccf64ccd554cb11d2e1.png)
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【推荐1】已知函数
的定义域为A,集合
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(1)求集合A,B;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d356003e846491d0cc45743e77d151d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8772c6940fc23138298458baf8b2a0.png)
(1)求集合A,B;
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
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【推荐2】在集合论中“差集”的定义是:
,且
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(2)若
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(3)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f4bcaec7926363d8f77c6e773920d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f1e3675e0fa3b790c416a751af63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9e6ad1166c7625e63b80e75b2fb1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2755a85584173902f146eacf40102723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26cb7961d2d6957cfd6b4af403450e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6846ad147da3f53658602eade09631d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7321a9fa7a6ef6be6e40c96709763930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6846ad147da3f53658602eade09631d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe3404ade72e644b48d19572c173c93.png)
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【推荐1】已知集合
,集合
或
.
(1)求
,
;
(2)若全集
,集合
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5c7bfba97dc0dac10068ddb322fa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004efbddbb5f74064c043e9a455c6004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4ddadbdc40a81d7310dd69c14f40a2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ccaf2fb1174d9314c3e9b07846059c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4019a06d15f0205d42f372aa423e7a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f31757a31c6507c7849499e192caa83.png)
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【推荐2】已知:集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ff1b7453f1f1b902da2dded4de7906.png)
(1)若
,求
,
;
(2)若
是
的充分条件,求实数
的取值范围;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf0831b650d20a60b416f119982b2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ff1b7453f1f1b902da2dded4de7906.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.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)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】已知函数
的定义域为集合
, 函数
的定义域为集合
.
(1)求
;
(2)若集合
,且“
”是“
”的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10929a47c9f4e940e78f67f27d5a84ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104aca61c7f1716a0d09cfda20b2d43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】设函数
和
的定义域分别为集合
和
.
(1)当
,求函数
的定义域;
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9371b7da5d1ac3ce4f42a11041504b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753ddd380ed18f61bf76d52e1f3dc6ca.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e691b5ea76c132d33a6ae4ebda0139a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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