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教学能力大赛导数及其应用《高等数学》教案实施报告

  • 2026-10-28 01:09:26
教学能力大赛导数及其应用《高等数学》教案实施报告

导数及其应用

参赛组别:高职公共基础课程组

课程名称:高等数学

适用专业:新能源汽车技术专业

导数及其应用

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  1. CONNECT:[ UseTime:0.000487s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000533s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000328s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000351s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000499s ]
  6. SELECT * FROM `set` [ RunTime:0.000272s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000649s ]
  8. SELECT * FROM `article` WHERE `id` = 465172 LIMIT 1 [ RunTime:0.000360s ]
  9. UPDATE `article` SET `lasttime` = 1793981317 WHERE `id` = 465172 [ RunTime:0.001154s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000328s ]
  11. SELECT * FROM `article` WHERE `id` < 465172 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000398s ]
  12. SELECT * FROM `article` WHERE `id` > 465172 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000350s ]
  13. SELECT * FROM `article` WHERE `id` < 465172 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000523s ]
  14. SELECT * FROM `article` WHERE `id` < 465172 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000621s ]
  15. SELECT * FROM `article` WHERE `id` < 465172 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000524s ]
0.087474s