如图,已知全集
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70865196275ec9151b1b28487031ed5.png)
或
.
![](https://img.xkw.com/dksih/QBM/2022/12/16/3132239310569472/3132866931630080/STEM/c00df82476a64b1f8936b93031ba9c63.png?resizew=203)
(1)集合C表示图中阴影区域对应的集合,求出集合C;
(2)若集合
,且
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa26ede4564b80c035c146272384bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70865196275ec9151b1b28487031ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9ec26fd8a38aac8913cfc09a986b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b700dc51dce8dd6f00d1d1905672d9.png)
![](https://img.xkw.com/dksih/QBM/2022/12/16/3132239310569472/3132866931630080/STEM/c00df82476a64b1f8936b93031ba9c63.png?resizew=203)
(1)集合C表示图中阴影区域对应的集合,求出集合C;
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0cf93a324a5016e70fbedec4ed79b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c536e175028b6905e96196834e52a68.png)
更新时间:2022-12-17 16:17:00
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【推荐1】已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8ffa4fe267e7680d30af34c48738f5.png)
(1)若
,求
的取值范围.
(2)若
,且
(
为整数集合),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8ffa4fe267e7680d30af34c48738f5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb83fcbe16a18dfe3fe1869d19123f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9bb0c4b868e00807d1c3cc99e2dd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6596fd237c40900a0a0d7e7d5e3761d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】已知全集
,集合
,集合
.
(1)求
,
;
(2)已知集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e6489cf3ece216901d1c6380b9fd35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2ed5e074c5738fe792535b193cbeb5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb9daff93e56d8ecd3ba7da38c9c993.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b64c1ae04b048c8079426e766cd0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a22ce47532a26015070df2fc4faa33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知全集
,集合
,
.
(1)
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6d2c1ea6cd1769ee5c136056b3ddc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33019de9fa664f7204e2ca17a1f8c00.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd1315ef75fa8897d12759b3aef5c45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】定义域为R的奇函数满足
.
(1)求
解析式;
(2)说明
在
上的单调性,并给出证明;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed6266f4cc5c9323cbab6e197d6318a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e10140ab3cdc13d710a65b2287c892b.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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解题方法
【推荐2】设函数
.
(1)当
,
时,求不等式
的解集;
(2)已知
,若不等式
对于一切实数x恒成立,并且存在
,使得
成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98410b6a864a6d41bac8e218dcbaa3ce.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ca2f0899f5aa757b7eb173faea704d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799b324b514d6044672c133d8fef2dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ed3bd8ecf994df120c6854414b7a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cae627f3028fee4dfd009813017d991.png)
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