解题方法
1 . 已知不等式
的解集为
,集合
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c5b67026b4f30bf0a316594cb6e4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38565bfafc23dd7be154fa49c07d35f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . (1)已知集合
,
,且
,求实数
的取值范围;
(2)已知集合
,
,若
且
,求
的值;
(3)已知
,当
变化时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e592bba7506bb02055aa535e4b32f651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828cdf04a6f5d04e05d808f4c3fad58f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb54fc566981c9f4e4f22a39546391c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38909e383f65e8ddb193f29b3ab6f03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e67e3ebadffb75c7aec8f14b269f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf87a06a101db13189d94e8d49619bb.png)
您最近一年使用:0次
名校
解题方法
3 . 已知关于
的不等式
的解集为
,关于
的不等式
的解集为
,关于
的不等式
的解集为
,且满足
.
(1)求集合
;
(2)求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4152a3a03a66a5d7612d098d5bbc1885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee5d0f947429f7dc4572cd4cf46c5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1654177ce5e801aa99ad3c822505229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cb9cf484216376d95e411b44a460d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f508ee4633270c33c8ceb50af5c33ed.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知不等式
的解集是集合A,函数
的定义域是集合B.
(1)分别求集合A,B(集合B可用含实数a的式子表示);
(2)若
是
成立的必要不充分条件,试求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171a1a69d118c86d7ba5baba7b6d9c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1a13c78ac04f6d1b0eabe7e505ceb2.png)
(1)分别求集合A,B(集合B可用含实数a的式子表示);
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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名校
5 . 已知命题:“
,使得不等式
成立”是真命题.
(1)求实数m的取值集合A;
(2)设不等式
的解集为B,若
是
的充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be410fd42b9b3f5213afd76778c1871f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888d01322e737b87dc2fc9581ebc51ad.png)
(1)求实数m的取值集合A;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a0157717a03fbb146326749cd34477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023-07-13更新
|
500次组卷
|
5卷引用:山东省德州市2022-2023学年高二下学期期末数学试题
山东省德州市2022-2023学年高二下学期期末数学试题(已下线)模块四 专题4 暑期结束综合检测4(能力卷)福建省厦门市松柏中学2024届高三上学期第一次月考数学试题(已下线)阶段性检测1.2(中)(范围:集合、常用逻辑用语、不等式、函数、导数)【人教A版(2019)】专题08导数及其应用(第四部分)-高二下学期名校期末好题汇编
名校
解题方法
6 . 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)
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2023-09-27更新
|
69次组卷
|
2卷引用:湖南省株洲市第二中学2023-2024学年高一上学期第二次适应性检测数学试题
名校
解题方法
7 . 已知集合
,不等式
的解集为
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305dfff0b39558061cc139cf804f3466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cdb8806a697e8e5480fad9c380baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35cb1ca80751bbad5cd2b1b67950a12.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-10-22更新
|
462次组卷
|
2卷引用:广东省广州市天河中学2023-2024学年高一上学期基础考试数学试题
名校
解题方法
8 . 关于x的不等式
的解集为A,关于y的不等式
的解集为B.
(1)求集合A;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28949c4b5539e8440eacc8cdd836459e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ff7a87e43fa2d45901403f6854b3d7.png)
(1)求集合A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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名校
9 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10b7b208d3fe7ae4321f8fc39ffc27d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a1b197f5c9a0283567c83a4225a447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbcc3eb28e550b30e7ba6eaa09fe8f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b191937b1ebee34e654971995ae1228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-09-23更新
|
297次组卷
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4卷引用:四川省南充市2024届高三高考适应性考试(零诊)文科数学试题
名校
10 . 已知集合A为不等式
的解集,
(1)若集合
且
,求m的取值范围;
(2)求函数
,在定义域A上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abaa3f5c39c6d7449bf173bdfee71b82.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245c5e2813c12f27b4d0102a71acec75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0250aa58e8010e0565836b5d5c3639d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffb5b3e3b83a721cd6b9b28f164e295.png)
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