名校
解题方法
1 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
的定义域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974f9b9641d9605e1f74a5aaf22eba45.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d8df12f23c4ddc3e9f18c3f2b8b679.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52bef632342fab6acc9a9a89f24a40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc5af387a6cee440f72d479197a5bc1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f965bc73aab3ddbeb98b29af771fe4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.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
名校
解题方法
3 . 设集合
.
(1)求
;
(2)已知集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab25778670c424ebac2dc5833809fcc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30da9531815632cc4aeed58d128edc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.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
4 . 已知函数
的定义域为集合
,集合
.
(1)求集合
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868016e02671f39bef62f332727c75c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44bbfa7624e9598ac12e31a7c8296df.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
您最近一年使用:0次
2023-12-20更新
|
108次组卷
|
2卷引用:四川省遂宁市射洪中学校2023-2024学年高一上学期11月期中考试数学试题
5 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03200edc9e00e407c67d2f03536dd10a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0694be768d3c80a31e1e1a1f947042d0.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)若函数
满足
,若对任意
,不等式
恒成立,求实数
的最大值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb0b99a987ace63704fdc8ec5dbc7e0.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37badd4a593b4811efc3b03984af43e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adeb806755d188539e2389ea680024da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db02c520989da5adce55d84410a644b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4777fb5d74177a28f4a0fa9c599c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
7 . 求解下面两题:
(1)已知关于
的不等式
的解集为
,求不等
的解集;
(2)若对于任意实数
,不等式
恒成立,求实数
的取值范围.
(1)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42f848c5ebf2980cccd9c81c78e8132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf129cdf0243d11594f3292e5b96615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b1c12a00ec0eda4dd2cfc79da60b52.png)
(2)若对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286a22b680079cda58e99834c7af6414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-20更新
|
367次组卷
|
3卷引用:四川省成都市石室阳安学校2023-2024学年高一上学期12月月考数学试题
解题方法
8 . 已知全集为
,集合
,
.
(1)若
,求集合
;
(2)请在①“
”是“
”的充分不必要条件,②若
,则
,③
,这三个条件中任选一个,补充在下面问题的横线上,并完成问题解答.若______,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25953f0b1e79e399b40e80e7ecbc093b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663854b5ccdb9de9666dee2ed6f8400a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd3c1cb06b3348c7671c93b6cf90e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720c70b864e776c1295978e769afd89d.png)
(2)请在①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f692cdc81d52ab2fda33ace0c006a808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6833b91adaea892664f8c773d5922b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f692cdc81d52ab2fda33ace0c006a808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b328da1c9c8cda093e67b83a503005c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72155300d2c231dbbaabfbdd2a122028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 已知关于
的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9dfac9913b9e645065893439db2cef.png)
(1)当
时,求不等式
的解集;
(2)若不等式的解集为
或
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9dfac9913b9e645065893439db2cef.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811acf95511c1d73d798962424052b3c.png)
(2)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909e65dd90e0e036af5d86236edddc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd8a2b0a0d3ee785af78f65e02af649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f48697046ef1531aaaf9e18cfb27254.png)
您最近一年使用:0次
名校
10 . 某地区上年度居民生活水价为2.8元/
,年用水量为
,本年度计划将水价降到2.3元/
到2.6元/
之间,而用户期望水价为2元/
.经测算,下调水价后新增用水量和实际水价与用户的期望水价的差成反比(比例系数为k),已知该地区的水价成本价为1.8元/![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
(1)写出本年度水价下调后水务部门的收益y(单位:元)关于实际水价x(单位:元/
)的函数解析式:(收益=实际水量×(实际水价一成本价))
(2)设
,当水价最低定为多少时,仍可保证水务部门的收益比上年至少增长20%?
(3)设
,当水价定为多少时,本年度水务部门的收益最低?并求出最低收益.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf090346d9e8610df47cd19950736998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
(1)写出本年度水价下调后水务部门的收益y(单位:元)关于实际水价x(单位:元/
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6aef4ea052bc598ce66cc5d0bffa7.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bbaf18bf82f3f5676bf1f3aee157d8.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9b1da754b757f8e556bf6751d0eec3.png)
您最近一年使用:0次