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一道圆锥曲线模拟试题的一般化推广与证明

当前时间： 2026-07-23 04:32:53 分类：办公文件 评论(0)
一道圆锥曲线模拟试题的一般化推广与证明

一道圆锥曲线模拟试题的一般化推广与证明

今天分享一道不知出处的解析几何试题的一般性结论与证明。

【试题呈现】

【试题解析】

以上内容均为个人观点。

若有错误或不足，欢迎各位读者留言指正、补充完善。

感谢阅读，期待你的关注与支持。

基本 文件 流程 错误 SQL 调试
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  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=8087b51ad6eb72fc6e70a182a4b1b681
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  1. CONNECT:[ UseTime:0.000938s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001683s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.001349s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.022546s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001496s ]
  6. SELECT * FROM `set` [ RunTime:0.071450s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.002239s ]
  8. SELECT * FROM `article` WHERE `id` = 864055 LIMIT 1 [ RunTime:0.031328s ]
  9. UPDATE `article` SET `lasttime` = 1784826378 WHERE `id` = 864055 [ RunTime:0.001759s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.017160s ]
  11. SELECT * FROM `article` WHERE `id` < 864055 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001475s ]
  12. SELECT * FROM `article` WHERE `id` > 864055 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.036756s ]
  13. SELECT * FROM `article` WHERE `id` < 864055 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.135029s ]
  14. SELECT * FROM `article` WHERE `id` < 864055 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.069791s ]
  15. SELECT * FROM `article` WHERE `id` < 864055 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.150790s ]
0.735430s