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南京盐城一模19题 思路自然但计算量大

  • 2026-05-02 14:25:08
南京盐城一模19题 思路自然但计算量大

第(3)问

由(2)可得 ，且

又

同理

代入已知条件整理可得

令 ，则 

因为 ，所以当  时，，即  递增，故  或 

若 ，则 ，即

当  时，

当  时，

当  时，

易证 ，故  不存在.

若 ，可以证明 ，即 ，又  在  递增，故  不存在.

综上， 或 

总结

中规中矩，只是把几个板块拼凑一下，没有什么亮点

计算量有点大

质量：★★☆☆☆难度：★★★☆☆

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  1. CONNECT:[ UseTime:0.000366s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000555s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000293s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000282s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000540s ]
  6. SELECT * FROM `set` [ RunTime:0.000246s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000568s ]
  8. SELECT * FROM `article` WHERE `id` = 515791 LIMIT 1 [ RunTime:0.000854s ]
  9. UPDATE `article` SET `lasttime` = 1777741811 WHERE `id` = 515791 [ RunTime:0.010891s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000273s ]
  11. SELECT * FROM `article` WHERE `id` < 515791 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000559s ]
  12. SELECT * FROM `article` WHERE `id` > 515791 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000463s ]
  13. SELECT * FROM `article` WHERE `id` < 515791 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000846s ]
  14. SELECT * FROM `article` WHERE `id` < 515791 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002374s ]
  15. SELECT * FROM `article` WHERE `id` < 515791 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000807s ]
0.089007s