解题方法
1 . 设全集
,集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f396d35e55ecf5bb5afb80b8aff459f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d418a77301c9494f289f8e4f4ead35.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b109e426e848c161a79366657ca264dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd67690abad8a347e8e7ada6ff768df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知全集为
,集合
,
,
.
(1)若
,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e56e99621044ae5c0122088e096a871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809736701db5e90b916bd985d346d7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f612baabc2d266d13e633966381a767.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583ae6cd86685bd88dafac430c1eae64.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354ba538d9b1102e66f631729eecbafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-20更新
|
631次组卷
|
2卷引用:四川省眉山市仁寿县文宫中学2023-2024学年高一上学期12月月考模拟数学试题
名校
解题方法
3 . 已知函数
的定义域为集合
,集合
.
(1)求集合
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868016e02671f39bef62f332727c75c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44bbfa7624e9598ac12e31a7c8296df.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
您最近一年使用:0次
2023-12-20更新
|
107次组卷
|
2卷引用:四川省遂宁市射洪中学校2023-2024学年高一上学期11月期中考试数学试题
名校
解题方法
4 . 已知集合
.
(1)当
时,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a55df8ef060a635cb7dd370a28eaca.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-20更新
|
265次组卷
|
2卷引用:四川省泸州市合江县马街中学校2023-2024学年高一上学期期中数学试题
名校
解题方法
5 . 设集合
,
,
.
(1)
,求
;
(2)若
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/736633e72bb637078e6c8d0dbacd5587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024d3a75560772e1de7e0f052ba17a8a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9ee4df3cd0c5982eec8be19e136130.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-20更新
|
136次组卷
|
2卷引用:四川省南充高级中学2023-2024学年高一上学期11月期中考试数学试题
名校
解题方法
6 . 已知全集
集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15713482a9b5fbc612ef50ed79a4df4.png)
.
(1)求
,
;
(2)若
求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6ee8b18f6cbfd59a3e558afbdef6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0f83ba0536b33984aba02ea32418b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15713482a9b5fbc612ef50ed79a4df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab0147c109133d01a8ef5b59a40960e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7026b721caf58b61b1daac10d7db2b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387d7c78b55b4f0b6343331f14300c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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23-24高一上·四川成都·阶段练习
名校
7 . 设
为实数,
,集合
,
.
(1)若
,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ac88bb6ab47f19ea75f3aa565ef821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f42723124ba462e24b4ce94dcc9f1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9279c275a0d1e3967980c29474ad1b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
8 . (1)设集合
,
,求
,
;
(2)已知全集
,非空集合
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fa3c87d43c427b7a87c5c9cbc03cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b816a118e9ce1cc57b193aa58b8deaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4afabfd5b4885311f8d9a4bcf791b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576b97c62862471edc4b712240bd92e5.png)
(2)已知全集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4f59a3fd052f229e79e5aefa517913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10c9c12a25f316be4e68c9b9839d94e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
名校
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
名校
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)
您最近一年使用:0次