名校
1 . 已知非空集合A,B满足以下两个条件:①
,
;②若
,则
.满足以上条件的集合A的所有可能个数有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bfc343735f42124f572243eef276d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab23352fbe6c2145ebb4c2d4a132742.png)
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解题方法
2 . 已知集合
,
.
(1)若
,求
;
(2)①若
,②若
,求
的取值范围.
注:从条件①,条件②中选择一个作为第二问的条件作答,如果选择了两个条件分别作答,按照第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c697217eb0234651b2a2dd0606eb29f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe7decbea17255fbf44c7e05d6d5f6a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab907894aec35b45d1520c8fbdc3c50d.png)
(2)①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149fbbd377dbfce3378769cf19debf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
注:从条件①,条件②中选择一个作为第二问的条件作答,如果选择了两个条件分别作答,按照第一个解答计分.
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3 . 已知集合
,其中
.
①集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0d2a6750330ebe1cf1b3a65825d0e6.png)
_______________ ;
②若
,都有
或
,则c的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abeb837962544605c14c9338047b8ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b332872c51b433befe65fbe773380.png)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0d2a6750330ebe1cf1b3a65825d0e6.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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4 . 已知集合
,
,且
,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20889682a2ce4c6efab561457cdec3f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf61b7c6d1c49ebcb814e9cd61f9590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
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5 . 已知全集
,集合
,
.
(1)若
,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dce1a698d72b6754a78fc17d2313445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d6220e7c3b6b9efb99dc0b488a7513.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 已知集合
,
,不等式
的解集为
.
(1)求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c2ac0e9e9b64be5fe4b21da9879305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6528f783cc91636be9eec7c459df41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c485aa0f953783d1c1399283aab4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc5311539329992d5fe64741550d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e426a400cec64e11dc137c5780f53afa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知集合
,
,
..
(1)求
,
;
(2)当
时,
;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95cc0ef293bca74671e59536033fe32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c061199b869da1de714c6d08994bd9f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c093cbde3d3472d1f7f2b0dff2bc4881.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-14更新
|
99次组卷
|
2卷引用:北京市育才学校2023-2024学年高一上学期期中考试数学试题
8 . 已知全集
为实数集,集合
.
(1)若
,求
和
;
(2)若
,用列举法表示集合
,并写出集合
的所有子集;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bc74076ddbb9cb970bae036e68341.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.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/e890a3e7501d13d15ca289969568de77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 设全集
,集合
,
.
(1)当
时,求
;
(2)若
,求实数a的取值范围;
(3)若
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88e2a329e0e096944de76e6be46a8f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de2a0a5e4783a1e68a88efdd54c9a3b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfbe78be8937952a3d5b0ae9208f727.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddaf05f212ffc76288d8341fdb097337.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1718a3e8252c02c04470a20631132e53.png)
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解题方法
10 . 设全集
,集合
,集合
,若
,则实数m的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3705d4a6693b1f468580f635edccce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ef469e97ae9f56b4b103035a7d9773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
您最近一年使用:0次
2023-11-04更新
|
253次组卷
|
2卷引用:北京市第一六六中学2023-2024学年高一上学期期中检测数学试题