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2025年考研数学真题一第17题的三种解法

2026-02-03 20:07:21

2025年考研数学真题一第17题的三种解法

不仅给出详尽的解题过程，更重要的是给出了人人都能听懂，可操作性强的解题思路。
既知其然又知其所以然，做到了“道可道，是常道”
#定积分#考研数学#裂项法#三角换元法#凑微分

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CONNECT:[ UseTime:0.000742s ] mysql:host=127.0.0.1;port=3306;dbname=www_sjds;charset=utf8mb4
SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001245s ]
SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.026745s ]
SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000666s ]
SHOW FULL COLUMNS FROM `set` [ RunTime:0.001617s ]
SELECT * FROM `set` [ RunTime:0.050508s ]
SHOW FULL COLUMNS FROM `article` [ RunTime:0.001374s ]
SELECT * FROM `article` WHERE `id` = 459157 LIMIT 1 [ RunTime:0.101105s ]
UPDATE `article` SET `lasttime` = 1770195936 WHERE `id` = 459157 [ RunTime:0.071826s ]
SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.023525s ]
SELECT * FROM `article` WHERE `id` < 459157 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.071398s ]
SELECT * FROM `article` WHERE `id` > 459157 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.021791s ]
SELECT * FROM `article` WHERE `id` < 459157 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.206445s ]
SELECT * FROM `article` WHERE `id` < 459157 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.110905s ]
SELECT * FROM `article` WHERE `id` < 459157 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.541842s ]

1.416670s

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