1 . 选修4-5:不等式选讲
已知函数
.
(1)当
时,求不等式
的解集;
(2)不等式
恒成立时,实数
的取值范围是
或
,求实数
的取值集合.
已知函数
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/8ae88df2cf4a422d8f955351ee2ad28d.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/9cc181a0c48c4ceab425ec5de2a47475.png)
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/113f0b32804540e6a03a8ad4473bed9a.png)
(2)不等式
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/e9ca6b99fdff46a5ad1a38cc3d87d86d.png)
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/5fc3e0dc994d4300ba699d37a8f719df.png)
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/80982863820b4e7bb3a0f1c013641e43.png)
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/93dda729011f4bca9b9f6ea7a333db87.png)
![](https://img.xkw.com/dksih/QBM/2016/8/18/1572984835874816/1572984841928704/STEM/e6bf227ec3ed4f77a09775daeced0cc0.png)
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2卷引用:2016届广西柳州市高三下4月模拟理科数学试卷
2 . 设
均为实数.
(1)证明:
;
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a956f90dd2b41da1b5900a8d2ff151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e7f740518a5d6bba0e0aae650d0b00.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4aa44191ac9891c27e451dd70fc61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629a6fffac350da65f35db519ad3497c.png)
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解题方法
3 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
的解集包含
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7ea349546d449bc638ebc1e75536c1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b624d88827e92e12bc0a8f1067cbe72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667cb91683f94d0dcaf3d803fbfb6838.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf13ba9c59a0d8ef5f4ef695cac9f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
4 . 设函数
,
.
(1)当
时,求不等式
的解集;
(2)对任意
,
恒有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095ac954ad52825efa0b290c0bbafb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4827f79723c41bd35bf4871bcac58907.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad5f2c441018dd5e69d1e9219bda19d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee7a3c46ef8c77f85ea6dc8d571f978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4卷引用:广西柳城县中学2020届高三6月加强考数学(文科)试题
广西柳城县中学2020届高三6月加强考数学(文科)试题2016届重庆市南开中学高三12月月考文科数学试卷【全国百强校】宁夏石嘴山市第三中学2019届高三12月月考数学(理)试题(已下线)专题23 不等式选讲-2020年高考数学(理)母题题源解密(全国Ⅱ专版)
5 . 已知函数
.
(1)若不等式
的解集为
,求实数
的值;
(2)若在(1)的条件下,存在实数
,使
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20c018ec0999ed877239171a17eea12.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b3749bfef2e73f7dcf10152c35a866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若在(1)的条件下,存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0245f0e0a6d080e68a02c5bb07d92790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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