解题方法
1 . 已知全集
,集合
,
.
(1)当
时,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa70a88eb379a0827370460332f4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b633bea098879b92ecb9e972033899b7.png)
(1)当
![](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/71071b073e25042296e04ca98bbcb44e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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2 . 设全集
,
.
(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/b7aa1ec49b823d918a0463e70716329e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f0b74515ef6ca0be6e1858631c285.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c874c8c93433c69412eebc122389bb.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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3 . 已知非空集合
.
(1)若
,求
;
(2)若“
”是“
”的充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31e37a190463cfd159c186d4032547a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd141a96ef4ffbc72414d36abc86b1a9.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e70471c491557e1523164a717e04af.png)
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2024-01-10更新
|
684次组卷
|
4卷引用:高一数学开学摸底考01-全国甲卷、乙卷专用开学摸底考试卷
(已下线)高一数学开学摸底考01-全国甲卷、乙卷专用开学摸底考试卷(已下线)1.4.1充分条件与必要条件广东省珠海市第一中学2023-2024学年高一上学期1月阶段测试数学试题江苏省苏州市江苏外国语学校2023-2024学年高一上学期12月月考数学试题
名校
4 . 已知集合
,
.
(1)若
,求
;
(2)若“
”是“
”充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd310f0271106c472a4245d6184edab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973e4eaa73f03783d0889b10a3f6f48d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182738e8b0915e50c3a87054ec6eba8c.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f08f548d6b0614f2ad7b0c1047933.png)
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2023-12-29更新
|
688次组卷
|
3卷引用:高一数学开学摸底考 02-人教B版2019必修第一册+第二册开学摸底考试卷
(已下线)高一数学开学摸底考 02-人教B版2019必修第一册+第二册开学摸底考试卷江西省宜春市宜春中学2023-2024学年高一上学期期末数学试题江西省赣州市信丰中学2023-2024学年高一上学期第五次月考数学试题
解题方法
5 . 已知非空集合
,
.
(1)若
,求
;
(2)若“
”是“
”的既不充分也不必要条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bb38d9134047aa243f68859d118ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4761bec558fb18cae135a44f07935257.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361048fd1b1a7f3b7230404a04b7155a.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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解题方法
6 . 已知集合
或
.
(1)若
,求
;
(2)若 “
” 是 “
” 的充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6765a5c8357d4b0998b0b6abd309e21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9285ba4848c5b116271e364e15c65fa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.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/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-07更新
|
498次组卷
|
4卷引用:专题01 集合与常用逻辑用语2 -期末复习重难培优与单元检测(人教A版2019)
(已下线)专题01 集合与常用逻辑用语2 -期末复习重难培优与单元检测(人教A版2019)四川省达州市宣汉中学2023-2024学年高一上学期第二次月考数学试题四川省内江市威远中学校2023-2024学年高一上学期第二次月考数学试题安徽省淮北市第一中学2023-2024学年高一上学期第三次月考数学试题
解题方法
7 . 已知集合
,集合
.
(1)若
,求
;
(2)若______,求实数
的取值范围.
在以下两个条件中任选一个补充在第(2)问中,并给出解答.
①“
”是“
”的充分不必要条件;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894df263e3fb1bad02faccf0f974f2db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd04827f41c8f61217e5763c686b4d27.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b0cbfbb7f9547c3bdcc8356d456935.png)
(2)若______,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
在以下两个条件中任选一个补充在第(2)问中,并给出解答.
①“
![](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/0b05d2be27e8f53e4de3071846dffb41.png)
您最近一年使用:0次
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解题方法
8 . 已知全集
,集合
.
(1)当
时,求
;
(2)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/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fdada7884adfa85d70ff6b8bf642bc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1effe079f09633c05c5b97a0b1705422.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
9 . 已知集合
,集合
.
(1)求
和
;
(2)设
,若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ccd2df603e4891227d95ab2dd3a23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0be591959cd74cadb09ed8fd8f0ab7a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81919684bc4047d376c7e57dc6c8f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392ca85f9708ec2ec1f4573616f7dded.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6aafb4ed606a50e77c74a64960ab29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2069befbd6550251dfea7d2fcd71af5.png)
您最近一年使用:0次
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10 . 设全集
,集合
,
.
![](https://img.xkw.com/dksih/QBM/2023/11/8/3363691322146816/3365047422787584/STEM/3040919fcd394526baab61ff4e4e30df.png?resizew=123)
(1)求图中阴影部分表示的集合;
(2)已知集合
,是否存在实数
使得
,若存在,求
的取值范围.若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9671481b6846d7aa2e854ada3f49cc44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e32801abfa180e5ed0e4daebd817cad.png)
![](https://img.xkw.com/dksih/QBM/2023/11/8/3363691322146816/3365047422787584/STEM/3040919fcd394526baab61ff4e4e30df.png?resizew=123)
(1)求图中阴影部分表示的集合;
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967aee28df2fcecd00220cd83da3be92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f77766125647226b8c1cb30fa628d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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