1 . 已知函数
.
(1)若不等式
的解集是
,求实数
的最大值;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d61ba148ec72ba6a1fb96b538f18c6.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fed8e87215b97c3b8bba07274159d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59e12a45d489bd992d3721f199ff81d.png)
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解题方法
2 . (1)比较
与
的大小;
(2)已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1533d9629fc6274cf960b6a95fc19a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8d16a4f028929e670ec3c44d35c5c1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5842f47b99932df68efbb64eb847e956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411100df59e7a9dc8d4ad77d497b6fa9.png)
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2023-02-25更新
|
726次组卷
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6卷引用:内蒙古乌兰浩特市第四中学2022-2023学年高一上学期第一次月考数学试题
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解题方法
3 . 以下说法正确的有( )
A.实数![]() ![]() |
B.不等式![]() ![]() |
C.命题“![]() ![]() ![]() ![]() |
D.若![]() ![]() |
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2023-01-05更新
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224次组卷
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3卷引用:广西桂林市灵川县潭下中学2022-2023学年高一上学期10月段考数学试卷
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解题方法
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
的解集
;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27dd329517f0dd8f1d0dfade6138ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e41a1e26ba035e82121c09702cc24.png)
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解题方法
5 . 已知二次函数
过坐标原点,且对任意实数x都有
.
(1)求函数
的解析式;
(2)当
、
,且
时,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb43c1b89394f44c9d41a4cf8dc3dab.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05a1af3e8fcfa14f964dec6c7c6a8d5.png)
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解题方法
6 . (1)已知
,
,
,求
的最小值;
(2)已知
,
,
,为任意实数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b2819c61d715281f8d48956dd4c34b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)已知
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59101326c029393a18f8285893fcbb4.png)
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7 . 已知
的最小值为m.
(1)求m;
(2)若a,b,c均为正数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef99510129906c93da12831a9edd0db0.png)
(1)求m;
(2)若a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d689b0da0bd4803b3e8a6c69542ae466.png)
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2022-11-20更新
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111次组卷
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2卷引用:贵州省六盘水市2021-2022学年高二下学期期末质量监测数学(文)试题
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解题方法
8 . (1)解不等式:
;
(2)证明不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5eca26f6fc92845e2898fbfb7d48c3.png)
(2)证明不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97c9b47cf639ad8813e76ed3332bf55.png)
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2022-11-09更新
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2卷引用:江苏省南京市鼓楼区2022-2023学年高一上学期期中数学试题
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9 . (1)已知
,试比较
与
的大小;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98ddef21b1a9f6928b42ed0c7d773a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ff948329ca52b40e10a0f205adf932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fbac3e5eba01fc3f9c1b1de971f906.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70a255bb1660ce97c6fcdb2d523880a.png)
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2022-10-22更新
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3卷引用:安徽省淮南市部分学校2022-2023学年高一上学期10月联考数学试题
安徽省淮南市部分学校2022-2023学年高一上学期10月联考数学试题黑龙江省哈尔滨市第三中学2023-2024学年高一上学期第一次验收考试数学试题(已下线)专题03 不等式与不等关系压轴题-【常考压轴题】
名校
解题方法
10 . (1)设
,
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
(2)已知
,
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26324941773aadc326cdfd502491484e.png)
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