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2026南京大学强基计划一道函数值域问题的分析

  • 2026-06-24 09:37:43
2026南京大学强基计划一道函数值域问题的分析

     今年南京大学强基计划出了一道有关函数值域的问题，大家请看题：

   值域问题的处理技法灵活多变，比如可以考虑几何意义、平方变换主元等等，我今天不用任何妖娆的技法，就用最质朴的导数法处理，能快速解决问题的方法就是好方法。

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  1. CONNECT:[ UseTime:0.000407s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000675s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000313s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000313s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000521s ]
  6. SELECT * FROM `set` [ RunTime:0.000200s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000636s ]
  8. SELECT * FROM `article` WHERE `id` = 591443 LIMIT 1 [ RunTime:0.000397s ]
  9. UPDATE `article` SET `lasttime` = 1782280067 WHERE `id` = 591443 [ RunTime:0.001166s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000305s ]
  11. SELECT * FROM `article` WHERE `id` < 591443 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000528s ]
  12. SELECT * FROM `article` WHERE `id` > 591443 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000469s ]
  13. SELECT * FROM `article` WHERE `id` < 591443 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003111s ]
  14. SELECT * FROM `article` WHERE `id` < 591443 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002176s ]
  15. SELECT * FROM `article` WHERE `id` < 591443 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002621s ]
0.083177s