名校
1 . 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)
您最近一年使用:0次
2023-07-13更新
|
495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
2 . 已知定义在区间
上的函数
.
(1)求不等式
的解集;
(2)设函数
,
,若对任意的
,总存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c6fa8b04f872c6d73e11b4ca499035.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee61811313868a7b4ec3ffd7b538a3dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e07afb2bf68f160cdd18ea64094fc92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc657c0b715e190f59ad61d765c86f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc224108116b12e2282b65c38edf435a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
3 . 在
上定义运算:
,若关于
的不等式
的解集是集合
的非空子集,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9959e7588cc7147348d228a15a517b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365f6f11519913b6d435bbbf2c67df3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
4 . 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)
您最近一年使用:0次
名校
5 . 已知
,当
时的值域为集合
,关于
的不等式:
的解集为
,集合
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7a7822dfb3b884a2ac7e459baf5b3d.png)
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ef135fc306b06b7a16243b41b4d2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10e003c10ee55a22766a41b550e61d6.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/9fcb47c49084a43e41ba3251a9406f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6792f9f9b31d699eaa25bc3145f3a48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7a7822dfb3b884a2ac7e459baf5b3d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c536e175028b6905e96196834e52a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
6 . 设关于
的不等式
的解集为
,不等式
的解集为
.
(1)当
时,求集合
;
(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/c858cda79dc094491576fcebb5554523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6b1fc85c324b4c4defdc8f1012d9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 记关于
的不等式
的解集为
,不等式
的解集为
.
(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/4eeb83ea88934a93e498868d01d081d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481b602ac842bbab88f3f7a689ea7c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.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)
您最近一年使用:0次
名校
8 . 设不等式
的解集为A,关于x的不等式
(a为常数)的解集为B,若A⊆B,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57032c1466f18d9750637c3a00f6a316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8299782307909d80180b90a0f06e8a1.png)
您最近一年使用:0次
解题方法
9 . 设不等式
的解集为
.
(1)求集合
;
(2)设关于
的不等式
的解集为
.若条件
,条件
,且
是
的充分条件,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee2a63641d00a36ed01442b834ff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求集合
![](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/3d30bcad95cb1286de0e5cb7f074db4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7ab45636a934ba2d6ff7bf4be60653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d068729e449f05a9d5821a7f95589b56.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
名校
解题方法
10 . 已知
,关于
的不等式
的解集为
.
(1)当
是空集且方程
有解时,求实数
的取值范围;
(2)不等式
的解集记为集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5cf2db0309f7dfce9aa6a4c47c2959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9093e67bb937df85711d3ab08fb0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1703f1038fe86ff7d4f69b75a64fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次