名校
解题方法
1 . 已知集合
,试从以下两个条件中任选一个补充在上面的问题中,并完成解答.
①函数
的定义域为集合
;②不等式
的解集为
.
注:如果选择多个条件分别解答,按第一个解答计分.
(1)当
时,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6053b07cd2f3a4cd87cc0e1568474c.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ec58a971dc0ab6265773e6c873366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cdb8806a697e8e5480fad9c380baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
注:如果选择多个条件分别解答,按第一个解答计分.
(1)当
![](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/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-09-27更新
|
69次组卷
|
2卷引用:广东省汕头市潮阳区河溪中学2023-2024学年高一上学期期中数学试题
解题方法
2 . 已知不等式
的解集为
,集合
,集合
.
(1)求b和c的值:
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb56d9418f1a3cb2baa6b0c862010ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90e4491b77c3dbba0e71329cd596e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6b96a278e2d40ef6fabe9b27b66f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c2e68b4094a31c81d9ef86b4e38f67.png)
(1)求b和c的值:
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
您最近一年使用:0次
3 . 定义一种新的集合运算
且
.若集合
,
.
(1)求集合M;
(2)设不等式
的解集为P,若
是
的充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64728253724138a62ac0009d6e286c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3530b9ac69019714b0d5c6e6ee888c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde1535fe87eec15c25996ec0709bf2b.png)
(1)求集合M;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91b29762bb18325bb6174d299fdb865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
您最近一年使用:0次
名校
解题方法
4 . 已知集合A=
, .
(1)当m=1时,求A
B,(
A)
B;
(2)若A
B=A,求实数m的取值范围.
试从以下两个条件中任选一个补充在上面的问题中,并完成解答.
① 函数
的定义域为集合B;② 不等式
的解集为B.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64247969887fe164fa2463bb58938f2.png)
(1)当m=1时,求A
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321a57dd129e992d7834e91961987bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a7d825f29454e23692036bc070b346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66854bb5784c29a27075e884e10e392.png)
(2)若A
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66854bb5784c29a27075e884e10e392.png)
试从以下两个条件中任选一个补充在上面的问题中,并完成解答.
① 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b295508ac7bceb8cd70a514d77403c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cdb8806a697e8e5480fad9c380baa.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2022-03-20更新
|
456次组卷
|
4卷引用:广东省汕头市潮阳区河溪中学2021-2022学年高一上学期期中数学试题
广东省汕头市潮阳区河溪中学2021-2022学年高一上学期期中数学试题北师大版(2019) 必修第一册 名校名师卷 学业水平合格性测试(已下线)第02讲 集合的运算(7大考点13种解题方法)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)四川省泸州市泸县第四中学2023-2024学年高一上学期期末数学试题
名校
5 . 已知函数
的定义域为集合A,关于x的不等式
的解集为B.
(1)当
时,求
;
(2)设
,若“
”是“
”的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfdb882e8bfcd80238857509c1d6b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf5a1e9c2ab45a19f91ff23e58ba94b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
您最近一年使用:0次
2022-05-03更新
|
545次组卷
|
2卷引用:广东省广州市六中2021-2022学年高一下学期期中数学试题
名校
解题方法
6 . 已知命题:“函数
的定义域为
”是真命题.
(1)求实数
的取值集合
;
(2)设不等式
的解集为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f420d964d02885e2fa8ea3e0a718623b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19448eb24d26b6a689d9f87a10b7370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-11-24更新
|
611次组卷
|
2卷引用:广东省广雅中学2021-2022学年高一上学期期中数学试题
名校
解题方法
7 . 设函数
的定义域为集合
,不等式
的解集为集合
.
(1)求集合
;
(2)设
,
,且
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3184a6169d44e6750cce2f2b8a581837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c675b9a777348f2a53ad3a4c83702446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39463a8260de5c695ee4c444177dfe.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)
您最近一年使用:0次
2020-12-29更新
|
184次组卷
|
2卷引用:广东省深圳市高级中学2020-2021学年高一上学期期中数学试题
解题方法
8 . (1)已知集合
若
,求实数
的取值范围;
(2)已知
.当不等式
的解集为
时,求实数
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66650bd8af681259d85b532ae109945a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d64eb9797ef10c5863b7594796ef459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://img.xkw.com/dksih/QBM/2015/1/23/1571969336139776/1571969341440000/STEM/c8a53e2b12634b219ac1bfadcca152f5.png)
![](https://img.xkw.com/dksih/QBM/2015/1/23/1571969336139776/1571969341440000/STEM/2fc57f6e06fb4f2981c4a9e77736504f.png)
![](https://img.xkw.com/dksih/QBM/2015/1/23/1571969336139776/1571969341440000/STEM/c8c7b76ee8f84813af17b8c1444cc088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2015/1/23/1571969336139776/1571969341440000/STEM/90cfb26982b8435e85d0bbd13fcd5756.png)
您最近一年使用:0次