1 . 正数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fdeba282b028321696be7f90f2cbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2b49651d75b65c000f41a92c613508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a28a010582034341a048b08b77f6596.png)
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2 . 已知正实数a,b,c满足
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2820e6e888da175da63fb59e0990c8.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcce93d5450c82020c7e1fe17d0602cb.png)
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2022-10-15更新
|
1069次组卷
|
4卷引用:广东省广州市天省实验学校2022-2023学年高一上学期月考数学试题
广东省广州市天省实验学校2022-2023学年高一上学期月考数学试题江西省景德镇一中2022-2023学年高一(19班)上学期期中考试数学试题(已下线)专题04 基本不等式压轴题-【常考压轴题】(已下线)专题05 集合与不等式综合大题归类
3 . 给定
,
,设
、
、
、
且
,则对每个固定的
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8517a29f7e9285c4d50d5ec643488b5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f02d5c8eec434a3f90348d770a2e2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffdae5d1361b8fd5a18d102b2388671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7845c8c6f2a0502721bdb48f4bc09088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ebd645d0255370e449ca17f643201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8517a29f7e9285c4d50d5ec643488b5.png)
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