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对沈晨老师竞赛讲义中一道试题的验算

  • 2026-10-29 03:46:16
对沈晨老师竞赛讲义中一道试题的验算

沈晨老师的竞赛讲义课件“天体运动种种”中，有如下一道题，PPT中用的是方法一，我用直线逼近（方法二）验证了下，对得上数据。不妥之处，欢迎同行批评指正。

题目：火箭从地面上以第一宇宙速度竖直向上发射，返回时落回离发射场不远处。空气阻力不计，试估算火箭飞行的时间，地球半径取R0=6400 KM。

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  1. CONNECT:[ UseTime:0.000489s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000760s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000390s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000359s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000520s ]
  6. SELECT * FROM `set` [ RunTime:0.000271s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000656s ]
  8. SELECT * FROM `article` WHERE `id` = 461530 LIMIT 1 [ RunTime:0.000342s ]
  9. UPDATE `article` SET `lasttime` = 1794125151 WHERE `id` = 461530 [ RunTime:0.001250s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000299s ]
  11. SELECT * FROM `article` WHERE `id` < 461530 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000393s ]
  12. SELECT * FROM `article` WHERE `id` > 461530 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000360s ]
  13. SELECT * FROM `article` WHERE `id` < 461530 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000601s ]
  14. SELECT * FROM `article` WHERE `id` < 461530 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000571s ]
  15. SELECT * FROM `article` WHERE `id` < 461530 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000588s ]
0.090429s