名校
解题方法
1 . 若不等式
的解集为A,则集合A为___________ ;若不等式
解集为B,且A∩B=B,则a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56ac668d0d6201bae4fe53c2a6febc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fda782ace551248d59aa00c8b9c574.png)
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解题方法
2 . 记关于
的不等式
的解集为
,不等式
的解集为Q.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34415cec65b18fe4c89fcd773d882941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c111a03a88d0635659cc3fb347c09d2e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1baa634adb05b27164ef44a272cda31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
3 . 已知
.
(1)当
时,求
的解集;
(2)若
的解集包含
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d014877ffe4cacf80ad854d4dda1956.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4660d96a9fd314224744fbfe414d4dfc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810e8fa5cf17ae94a41803772c488726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7207cebe3ea9573647aee3b6f029fb72.png)
您最近一年使用:0次
2022-11-24更新
|
522次组卷
|
4卷引用:贵州省贵阳市五校2023届高三上学期联合考试(三)数学(文)试题
贵州省贵阳市五校2023届高三上学期联合考试(三)数学(文)试题贵州省贵阳市五校2023届高三上学期联合考试(三)数学(理)试题四川省泸县第一中学2022-2023学年高三下学期开学考试数学(文)试题(已下线)专题10-2 不等式选讲题型归类(讲+练)-1
名校
解题方法
4 . 已知不等式
的解集是
,关于
的不等式
的解集是
.
(1)若
时,求
;
(2)设命题
:实数
满足
,其中
;命题
:实数
满足
.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/8e8f95f901fad5984e99c8c0faa06d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32aeb7f08dbc6f32b132f663a9b67763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebff6619f0334a3494d94c6cacf2f2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2b5883ca0dd0998992c431774db88c.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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解题方法
5 . 在①
,②
,③
这三个条件中任选一个,补充在下面问题(3)中,若问题中的实数
存在,求
的取值范围;若不存在,说明理由.
已知一元二次不等式
的解集为
或
,关于
的不等式
的解集为
(其中
)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求
,
的值;
(2)求集合
;
(3)是否存在实数
,使得_______.
(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/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71f62a3955d74c69bd1a6fb28327c04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
已知一元二次不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9deeb02676b13db2735699803f8c601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3849cacd00c3a453d834d1d07adce9ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d5c65d76b90bafe1a009ef1693af2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492112895d1fc94a75844ad080b8c942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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
名校
解题方法
6 . 不等式组
的解集是
,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e560fa8d8f16d969582fcfb58dbd93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bfa81fdc4a5c99e9c23ade8f9a7696.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知命题“
,使等式
成立”是真命题.
(1)求实数
的取值集合
;
(2)设关于
的不等式
的解集为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902e9c627415706cf980d6896118f825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6962df3ea2decdbca9a1c57cb99ebbf5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c6c2477e9e7ddebbabab4d8d68aa30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-02-26更新
|
248次组卷
|
2卷引用:河南省驻马店市新蔡县第一高级中学2021-2022学年高一上学期11月月考数学试题
解题方法
8 . 已知“
,方程
有实根”是真命题.
(1)求实数m的取值集合A;
(2)设
,关于x的不等式
的解集为B,若“
”是“
”的充分条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7404af9d29f9a9c39b04c9e846b5f0a.png)
(1)求实数m的取值集合A;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10b406716e05a500ec5e18e9eb44b29.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
2022-01-29更新
|
445次组卷
|
2卷引用:江苏省无锡市2021-2022学年高一上学期期末数学试题
解题方法
9 . 关于x的不等式
的解集为A,不等式
的解集为B.
(1)求集合A,B;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bc1d8f5883a5e6b0f190adb79f1c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d208e6965be80aa33fba5d5131ee4fae.png)
(1)求集合A,B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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10 . 已知命题:“
使
成立”是真命题.
(1)求实数a的取值集合A;
(2)设不等式
的解集为B,若
是
的充分不必要条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485a4756c56f1126b9825d5019d544c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933e48960857a63826188ac9cc6675cd.png)
(1)求实数a的取值集合A;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c99ddedc26d741ace16db194947a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60ad0656bee35996558278632a2f417.png)
您最近一年使用:0次