名校
解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)若关于
的不等式
的解集为
,求实数
的值;
(2)设
,若不等式
对任意实数
都成立,求实数
的取值范围;
(3)设
,
,解关于
的不等式组
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d691ad79c041014c21d3e5b0a54a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a183ec1ea17c0a765d3f43cc5bec45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b06387179d53c1e474fcfcb408b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b130c45d5a2e951a7b8779ab6fb8970b.png)
您最近一年使用:0次
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)若关于
的不等式
的解集为
,求实数
的值;
(2)设
,若不等式
对任意实数
都成立,求实数
的取值范围;
(3)设
,解关于
的不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d691ad79c041014c21d3e5b0a54a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a183ec1ea17c0a765d3f43cc5bec45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0656773aa45dbe7437d7464a421c042e.png)
您最近一年使用:0次
名校
解题方法
3 . 设
.
(1)若不等式
对一切实数x恒成立,求实数m的取值范围;
(2)在(1)的条件下,求
的最小值;
(3)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab21274f0a4c68000ffd70abbc0b64d.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e59bb4bf2e0698d876cf815362b3658.png)
(2)在(1)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9aaa48c24bcd35f215d27adcb5d00f1.png)
(3)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0243e9dd6621e4d7c2eccc1bc3caf6.png)
您最近一年使用:0次
2024-04-23更新
|
973次组卷
|
2卷引用:广东省河源市河源中学2023-2024学年高一上学期第一次段考数学试题
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)设
,若不等式
对于任意的x都成立,求实数b的取值范围;
(2)设
,解关于x的不等式组
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe701206342ab596f1b95875a5cd412.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b624d88827e92e12bc0a8f1067cbe72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0a5c3e429ab21da5731297d49a07a2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b130c45d5a2e951a7b8779ab6fb8970b.png)
您最近一年使用:0次
2019-11-20更新
|
536次组卷
|
3卷引用:江苏省徐州市2019-2020学年高二上学期期中数学试题
江苏省徐州市2019-2020学年高二上学期期中数学试题(已下线)第3章+不等式(能力提升)-2020-2021学年高二数学单元测试定心卷(苏教版必修5)湖北省武汉市2022-2023学年高一上学期期末模拟数学试题(三)
解题方法
5 . 已知函数
.
(1)若不等式
的解集为
,求
的值;
(2)若不等式
对任意的
恒成立,求实数
的取值范围;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61aeea854f8563b9b1e3e84744f44aeb.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfdecc7f8089cb23c20d0a93ee1b601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fed700b7a3ab2ee7fbae12507033af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bb346e167c8c10d27b68305d8f032c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
.
(1)若关于
的不等式
的解集是实数集
,求
的取值范围;
(2)当
时,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce12084edb91f82ee1f13ae1c26f05e2.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483aae3bdaa84d8a8eba4ec8228fcb5a.png)
您最近一年使用:0次
2023-11-27更新
|
448次组卷
|
5卷引用:山东省潍坊市2023-2024学年高一上学期11月期中质量监测数学试题
山东省潍坊市2023-2024学年高一上学期11月期中质量监测数学试题山东省淄博市美达菲双语高级中学2023-2024学年高一上学期期中数学试题河北省唐山市第十二高级中学2023-2024学年高一上学期12月月考数学试题(已下线)专题02 含参不等式与不等式恒成立、能成立问题-【寒假自学课】(人教A版2019)山东省邹城市第二中学2023-2024学年高一上学期12月月考数学试题
解题方法
7 . 已知函数
.
(1)若不等式
对一切实数x恒成立,求a的取值范围;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3950df0147f4fcf4f7ac88783d5c0103.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
您最近一年使用:0次
名校
解题方法
8 . 已知二次函数
.
(1)若
的解集为
,解关于
的不等式
;
(2)
恒成立,求
的最大值;
(3)已知
,若
对于任意
恒成立,并存在
,使得
成立,求
的最小值及取到最小值时
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd466faa4d2bdd1a4e9f8edf84c0c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b03f81246769936154d50d832366d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0a333207899260651d3f1333dbd972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79b59f2dd744abaffdc8cb9c1ceb53d.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7b21c45031b3b951f9f09cba0a024e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017e6e26ce02c89166e87a2a7c9399e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adf751c67f525b5738c44b4cf02d4a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
解题方法
9 . (1)对于
恒成立,求
的取值范围;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1199b73402204d64f317bfce190504e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd4780acfe2b1f5fc44e5606e6f72af.png)
您最近一年使用:0次
解题方法
10 . 已知二次函数
,其中
.
(1)若
,解关于
的不等式
;
(2)若
且不等式
对一切实数
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eb9b6fe8959ae9e71e857b6d6fed49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0ea451f7feb1e03c1e31086e7db461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15d40a6f559b5d1c71216768c10445f.png)
您最近一年使用:0次