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夜雨聆风 > > 办公文件 > 均值不等式18种题型直接喂到嘴边啦!

均值不等式18种题型直接喂到嘴边啦!

当前时间： 2026-07-05 01:47:41 分类：办公文件 评论(0)
均值不等式18种题型直接喂到嘴边啦!

均值不等式18种题型直接喂到嘴边啦！

均值不等式18种题型直接喂到嘴边啦！看完学起来
别问，问就是纯干货！这18种题型基本覆盖了均值不等式的所有考法👇
公式直接套用、1的代换技巧、双分母构造方法、因式分解思路、三元型应用……

高考数学压轴题？把这个专题吃透，感觉都是送分题了！

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      云南,26分钟前,
      基本 文件 流程 错误 SQL 调试
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      4. 会话信息 : SESSION_ID=2643011ebe9f4c9b4fbcc6a7200e57da
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      144. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/runtime/temp/c935550e3e8a3a4c27dd94e439343fdf.php ( 31.50 KB )
      145. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
      1. CONNECT:[ UseTime:0.000471s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
      2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000871s ]
      3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000308s ]
      4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000281s ]
      5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000726s ]
      6. SELECT * FROM `set` [ RunTime:0.000233s ]
      7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000788s ]
      8. SELECT * FROM `article` WHERE `id` = 832777 LIMIT 1 [ RunTime:0.000461s ]
      9. UPDATE `article` SET `lasttime` = 1783217013 WHERE `id` = 832777 [ RunTime:0.007549s ]
      10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000317s ]
      11. SELECT * FROM `article` WHERE `id` < 832777 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000688s ]
      12. SELECT * FROM `article` WHERE `id` > 832777 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000537s ]
      13. SELECT * FROM `article` WHERE `id` < 832777 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000983s ]
      14. SELECT * FROM `article` WHERE `id` < 832777 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.005642s ]
      15. SELECT * FROM `article` WHERE `id` < 832777 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.013709s ]
      0.113688s