名校
解题方法
1 . 已知三个不等式:①
;②
;③
;
(1)若不等式①和②的解集分别为集合A与集合B,求
;
(2)若“
”是“
”的充分不必要条件,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f18821e5860e5ac12413a39ce5e6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690162f516e4db438c8e6946604bf72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7b904e5c926685b119394a9f6fc65a.png)
(1)若不等式①和②的解集分别为集合A与集合B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ee569a8ff677073ef2b7aaac3ce69f.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e949a465a33bcf9e9a3f8b9cde19cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3527e5db0a80be1d9086a91609077168.png)
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2022-10-20更新
|
299次组卷
|
2卷引用:江苏省常州高级中学2022-2023学年高一上学期第一次调研检测数学试题
名校
2 . 函数
的图象如图所示,若
的解集记为集合
,关于
的不等式
的解集为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/8f4f85a0-3095-4ec3-ae39-c557b6b17ece.png?resizew=137)
(1)当
时,求
;
(2)若
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.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/12bfbb0af1b3df5d5eb1ac4f79cd087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/8f4f85a0-3095-4ec3-ae39-c557b6b17ece.png?resizew=137)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d08fe9a26cb7f41cb6092be2eb422aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-09-22更新
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238次组卷
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2卷引用:江西省靖安中学2020-2021学年高一上学期第一次月考数学试题
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3 . 若关于
的不等式
的解集为
,
的解集为
.
(1)试求
和
;
(2)是否存在实数
,使得
?若存在,求
的范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374d5551b9e7ca9734d0d13301d8001a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702d9438cd5abb9efc10b661d8732882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95321d0e551daa25104d32157249c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
4 . 已知
,
.
(1)若
,求
的取值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffabf0dbdeb8518fe6fad342b9f0a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c64b59e12792d6b2654cc8a4a77e213.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e43d049930577cc9a7e0db5803daf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知集合
,
.
(1)若
,求实数
的取值;
(2)当
,且
时,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0d80bc1dc4fb9c04d25368bc8dab88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a739d9d29191fa9d1efb4618751e1b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-10-16更新
|
981次组卷
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8卷引用:河南省驻马店市西平县高级中学2021-2022学年高一上学期10月月考数学试题
名校
6 . 已知集合A={x|-2<x≤5},
.
(1)若A∪B=A,求实数m的取值范围;
(2)当x∈R时,若A∩B=
,求实数m的政值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6a2f46ec6423e92c421ee4ab52b306.png)
(1)若A∪B=A,求实数m的取值范围;
(2)当x∈R时,若A∩B=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
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2021-10-28更新
|
384次组卷
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2卷引用:江苏省南京航空航天大学附属高级中学2021-2022学年高一上学期10月月考数学试题
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解题方法
7 . 已知命题
不等式
的解集中的整数有且仅有
、
、1,命题
集合
,
且
.
(1)分别求命题
、
为真命题时的实数
的取值范围;
(2)设
、
皆为真时
的取值范围为集合
,
,若全集
,
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1831f5c2c3244d5fb696d26e47dc00bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55f9139896600757920d52ba68beeb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a84fd2a24aaf702c8303274ebeb5fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(1)分别求命题
![](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)
(2)设
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a365d0c92cd50530ec9220f3a2b8e57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f8b626b55b11e7a55ca5fcc440e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
8 . (1)设全集为
,集合
,
,
.
①求
;
②若
,求实数
取值构成的集合.
(2)若
,
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7baf865362210a1a635e901e07aaa46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ed6db2ac66e049994d7ce634bac3ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbda134188d64c2c27e61fd9dd2497be.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab0a54771df984e3bd3da84a80cef43.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e544b1304a6bbc87283cf741f134cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50c3c12b6f404b1bd3f5fc92ccd636d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe7decbea17255fbf44c7e05d6d5f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95321d0e551daa25104d32157249c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知集合
,点
,
.过点
作直线
与线段
总有公共点,直线
的斜率
的取值构成集合
.若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe1ccb36d3e62e264fb6cd263663ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a865d0cdbd1f950ba14112528db7af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab64fc207c4f2a73f869c57bf2f0a815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54822a1c8cd1ad8c5b84e1c33ed9bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . (1)关于x的不等式
在R上恒成立,求m的取值范围;
(2)对于集合
,
是否存在实数
,使
?若存在,求出
的取值,若不存在,试说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9387498a615dc6c268d350f22920a049.png)
(2)对于集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f221bf27e929b39d27a1521975962093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ad2d803bdf8b852b193c73cdb8b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45c88c0ca8b0d5ec311178150af3c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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