名校
解题方法
1 . 已知
表示不超过x的最大整数,集合
,
,且
,则集合B的子集个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc38ba14864fe789aa996790589075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662c2beb75f281f98d494a791f8738ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b8ac9a1d20df218648f49e44458950a.png)
A.4 | B.8 | C.16 | D.32 |
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解题方法
2 . 在
,
,设全集
,并回答下列问题.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97db28356f3a6a0dd7aa2fadc44196f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aba51270a2d40a083a88f057acf5f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d702be59738be52fa35da108c70e117.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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名校
3 . 设集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a534033ebf3ae40e9fa35e13639d37c6.png)
(1)全集
,求
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a534033ebf3ae40e9fa35e13639d37c6.png)
(1)全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa26ede4564b80c035c146272384bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409693f7fc0b4d24555cea9aadd998c7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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名校
解题方法
4 . 设集合
.
(1)若
时,求
.
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4ceea5523cdaa3b0ae702a9bf8ddf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442df3bf3c8608fe9a67b55a643fcd55.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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名校
解题方法
5 . 已知集合
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689e83e23bd9cb7b310bbbd7baaedd98.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cc9d784c2717c40ec068f1a2aaed3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521c8f3f084af427ec1c464f8b6bed86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知
,集合
或
,集合
,全集
,
(1)当
时,求
;
(2)若
恰有2个元素,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288f1b9fcc5393a8f0f3c8552dcb9744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a71168bdcab73fdb664218cc0f989a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031f000a0d497eaefd4933c3f5293126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b109e426e848c161a79366657ca264dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b109e426e848c161a79366657ca264dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知集合
,
.
(1)求
;
(2)设集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4281221ee1e24c0648b49e25dd194ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6526be367102c0ac632b934dd8876e2d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4648b27e70307526b43d097318b52c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bed4f3b7d72db3b022165360678e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 设全集为R,集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
.
(1)若a=3,求
,
;
(2)若
,求a的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78de216524b124cc5e111f5cf1918b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af84160f28f01d6721bf22e94a86530.png)
(1)若a=3,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331a8c58b97333fcf642c92f089e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
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解题方法
9 . 已知集合
,
.
(1)当
时,求
和
;
(2)若
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75a18f7fad5dfd057b8751eaf6c9628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161a9faa17aed61fa77ea18e306902cc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89447bf089edbac38ad56a117f9c82ef.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b01b68b0a4b8f07f240e69e4631187.png)
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解题方法
10 . 已知集合
.
(1)求
,
;
(2)若集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3629e01bb04da3d4e4261201013c6a87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15fa951ffbaa45d74594369c71e98332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8226ab88d47f147e2d243a79ce613b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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