集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537541130f0a5e40c3fa3e289e70138b.png)
(1)求
;
(2)设集合
,若“
”是“
”的必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5587fbbfd0006259ba7e7e3bcbacdc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537541130f0a5e40c3fa3e289e70138b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9aba6b6293733c139c187a5b3b6d05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
23-24高一上·浙江·期中 查看更多[2]
更新时间:2023-11-09 10:40:08
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【推荐1】(1)已知集合
,
,求
.
(2)已知集合
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab24ff02c9987c0f3596ddbb6ff4e528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405339284e7f91b24f643ddb24ffc287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0409577be7c197bade68b7a8df30f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af01fc1307a27feeb0634c07d40ce06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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【推荐2】设全集
,集合
,集合
,求
、
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9fb5f07d88847944022460b7b3b153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661603d691e7130e6c2ae2dec1a47fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7026b721caf58b61b1daac10d7db2b.png)
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【推荐1】已知
,
,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/2bbb4009dc85e3d916f492065521abb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47a8aed1848aaae984bf9a9ccd838b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】赵老师上课时在黑板上写出了三个集合:
,
,
,然后叫小明、小红、小强三位同学到讲台上,并将“□”中的数告诉了他们,要求他们各用一句话来描述,以便同学们能确定该数,以下是他们三人的描述:
小明:此数为小于6的正整数;
小红:“
”是“
”的充分不必要条件;
小强:“
”是“
”的必要不充分条件.
若赵老师说三位同学说的都对,你能确定“□”中的数吗?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43c6e86d8f04f6505d57059a2c0fd69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eff59ceb58894b20c8df74eeef29d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55896027a1b5c9dfdee5cc48c39646a8.png)
小明:此数为小于6的正整数;
小红:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
小强:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
若赵老师说三位同学说的都对,你能确定“□”中的数吗?请说明理由.
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【推荐1】已知命题
“
,不等式
都成立”,若使得命题p为真命题时m的取值集合为A,关于x的不等式
的解集为B.
(1)若
,当
时,证明不等式:
.
(2)若
,且“
”是“
”的必要条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58952ef6586cdd46086cd2acef0d41d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ac19acd49edaee7032ff634a2828dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322f2b1ebd3bbe5ac7d3ba2df3474f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fed3ab85ec6d347eec15c9fe1deb477.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784514141e05d94500becacffdf8659d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc4c15b1d62420f42732db3b626ce3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2586119c60240ba83971b78132ac83c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4fce6df788254e04ad0028ecd7a92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc4c15b1d62420f42732db3b626ce3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a3a95a978c23259caf993285d987b3.png)
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【推荐2】设全集为
,
,
.
(1)若
,求
,
;
(2)若
,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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9d19f20193335f53a3aa5826391f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7663b88504f0c8d921fb5a4d164c40.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b5098b577cf919109fc2f6e6c362f5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52854d0ead4737302f4b4706e1f80553.png)
![](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)
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