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25初联数学预备轮视频讲义代数和几何专题

  • 2026-10-29 06:52:53
25初联数学预备轮视频讲义代数和几何专题

2025名师精讲初联数学竞赛代数和几何，讲义pdf+高清视频

❶代数一期 1-15讲

❷代数二期 16-30讲

❸几何一期 1-15 讲

❹几何二期 16-30讲

文末可获！
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课件分享|检验检测机构资质认定生态环境监测机构评审补充要求(2025年)解读

基本 文件 流程 错误 SQL 调试
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  1. CONNECT:[ UseTime:0.000780s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000900s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000426s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000354s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000655s ]
  6. SELECT * FROM `set` [ RunTime:0.000299s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000674s ]
  8. SELECT * FROM `article` WHERE `id` = 466483 LIMIT 1 [ RunTime:0.000356s ]
  9. UPDATE `article` SET `lasttime` = 1793960531 WHERE `id` = 466483 [ RunTime:0.001383s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000319s ]
  11. SELECT * FROM `article` WHERE `id` < 466483 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000429s ]
  12. SELECT * FROM `article` WHERE `id` > 466483 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000356s ]
  13. SELECT * FROM `article` WHERE `id` < 466483 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000451s ]
  14. SELECT * FROM `article` WHERE `id` < 466483 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000871s ]
  15. SELECT * FROM `article` WHERE `id` < 466483 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000669s ]
0.081419s