1 . 设函数
.
(1)求不等式
的解集;
(2)若函数
的最大值为
,且正实数
、
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1e77da51eefb3de5138b11c5f76185.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7aeab03719a37dc2c2284e3ef32e4c5.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d389d1a373e4caca383f11362ec6c32c.png)
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7卷引用:2020届福建省漳州市高三第一次教学质量检测卷数学(文)试题
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2 . 设函数
.
(1)当
时,求不等式
的解集;
(2)若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8e6f5cd656bfee77716104dc7ef00a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d4e9b5e2013602a77d646a2c181e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b26d2fe18b7687c7ffa9d8b673e61c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7卷引用:福建省漳州市2018届高三5月质量检查测试数学文试题
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3 . 已知函数
(
).
(Ⅰ)若
,求不等式
的解集;
(Ⅱ)若
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fff02080903229344a53c3ab5445573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ebfef550eec07598671c5929259780.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca208a68dd37e00903085736eafdedb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3b621694ea855745959e451ab8d84f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3724c6e0dca120ec5ecc9c58704c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3b621694ea855745959e451ab8d84f.png)
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2卷引用:福建省漳州市2019届高三毕业班高考模拟(一)试卷数学(文)试题
4 . 设函数
,
.
(1)解不等式
;
(2)若不等式
的解集包含
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70adeef113c5c01380a4cd25491c33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf658da376b0f60bfb632739f63e9de5.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c0c8407ddf0d97597fb7419a23f05.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55071a0e81d8d7b3a466dcbbf9088180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2卷引用:【市级联考】福建省漳州市2019届高三第一次教学质量检查测试文科数学试题
解题方法
5 . 已知函数
,
.
(1)求不等式
的解集;
(2)若存在
,
,使得
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d807a9da02be3a454216a8ec2bac588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd322ba370d8e273a5b12e42ee134e14.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf4122177b2fb5481af28111fcb7fbb.png)
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3卷引用:福建省漳州市2020届高三毕业班第三次教学质量检测数学(文)试题
福建省漳州市2020届高三毕业班第三次教学质量检测数学(文)试题福建省漳州市2020届高三毕业班第三次教学质量检测数学(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)
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6 . 已知函数
.
(1)当
时,解不等式
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1bcf7ac45a798633b84ab5be4c9ed0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3061bb4c726f3a1734a0d1d084b58f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8e96a8c86d287ffa839c51a450d48a.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e0d8bdabeb382b2d9d522dfb80423d.png)
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解题方法
7 . 已知
.
(Ⅰ)求证
;
(Ⅱ)当
,求解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2981166ac967bc4d0ff32abbf30d22c.png)
(Ⅰ)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d585bb8b1276cb81ada8c2975571eb.png)
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2013·福建漳州·一模
8 . 已知函数![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/1b23eb5ea9f646929b5b9b55ab068df0.png)
(I)当
时,求不等式
的解集;
(Ⅱ)若
的解集包含
,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/1b23eb5ea9f646929b5b9b55ab068df0.png)
(I)当
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/38d926f1d8574fba949169dc373cf539.png)
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/6d315aa548804140b6d5b287920eab34.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/0a6c0063a9e5448e8b0cc89db95434de.png)
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/86a18385361a47e7a7b92d4f289b04e7.png)
![](https://img.xkw.com/dksih/QBM/2013/8/23/1571319354097664/1571319360151552/STEM/26a8e13c15074925a0e8938c99fee061.png)
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