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【注意!可下载打印的数学真题,锻炼孩子的奥数思维!】希望杯(附答案)

  • 2026-10-02 00:19:53
【注意!可下载打印的数学真题,锻炼孩子的奥数思维!】希望杯(附答案)
希望杯试题&答案
- 2025年 -
1-8年级
Part1
一年级
Part2
二年级
Part3
三年级
Part4
四年级
Part5
五年级
Part6
六年级
Part7
七年级
Part8
八年级
END
添加竞赛老师报名比赛
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中央音乐学院近两年考试真题曝光!难易程度,一目了然

基本 文件 流程 错误 SQL 调试
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  1. CONNECT:[ UseTime:0.000888s ] mysql:host=172.18.0.4;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001060s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000519s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000376s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000490s ]
  6. SELECT * FROM `set` [ RunTime:0.000308s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000610s ]
  8. SELECT * FROM `article` WHERE `id` = 463576 LIMIT 1 [ RunTime:0.000367s ]
  9. UPDATE `article` SET `lasttime` = 1790919049 WHERE `id` = 463576 [ RunTime:0.001822s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000347s ]
  11. SELECT * FROM `article` WHERE `id` < 463576 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000466s ]
  12. SELECT * FROM `article` WHERE `id` > 463576 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000406s ]
  13. SELECT * FROM `article` WHERE `id` < 463576 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000479s ]
  14. SELECT * FROM `article` WHERE `id` < 463576 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000517s ]
  15. SELECT * FROM `article` WHERE `id` < 463576 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000672s ]
0.088897s