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谈函数概念的历史发展

函数是中学数学最基本的概念，是贯穿高中数学课程的一条主线，同时也是现代数学最重要的概念之一，它是描述客观世界中变量关系和规律的最为基本的数学语言和工具。

基本文件流程错误 SQL 调试

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CONNECT:[ UseTime:0.002299s ] mysql:host=127.0.0.1;port=3306;dbname=dimhok;charset=utf8
SHOW FULL COLUMNS FROM `edu_coursetype` [ RunTime:0.003238s ]
SELECT * FROM `edu_coursetype` WHERE ( parent=0 ) ORDER BY `listorder` ASC [ RunTime:0.001213s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='1' ) ORDER BY `listorder` ASC [ RunTime:0.001222s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='2' ) ORDER BY `listorder` ASC [ RunTime:0.000857s ]
SHOW FULL COLUMNS FROM `edu_book` [ RunTime:0.003709s ]
SELECT * FROM `edu_book` WHERE `publish_time` >= 1748495232 [ RunTime:0.001080s ]
SHOW FULL COLUMNS FROM `edu_video_course` [ RunTime:0.001361s ]
SELECT * FROM `edu_video_course` WHERE `addtime` >= 1748495232 [ RunTime:0.000971s ]
SHOW FULL COLUMNS FROM `edu_nav` [ RunTime:0.001124s ]
SELECT * FROM `edu_nav` ORDER BY `sort_order` ASC [ RunTime:0.000720s ]
SHOW FULL COLUMNS FROM `edu_article_category` [ RunTime:0.001210s ]
SELECT * FROM `edu_article_category` ORDER BY `sort` ASC [ RunTime:0.000945s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 12 AND `status` = 1 [ RunTime:0.001067s ]
SELECT * FROM `edu_book` ORDER BY rand() LIMIT 3 [ RunTime:0.001473s ]
SHOW FULL COLUMNS FROM `edu_article` [ RunTime:0.002156s ]
SELECT * FROM `edu_article` WHERE `columnid` = 12 AND `is_draft` = 0 AND `is_open` = '1' ORDER BY `likes` DESC LIMIT 0,10 [ RunTime:0.001766s ]
SHOW FULL COLUMNS FROM `edu_users` [ RunTime:0.001456s ]
SELECT * FROM `edu_users` WHERE `id` = 2 [ RunTime:0.001098s ]
SHOW FULL COLUMNS FROM `edu_article_tags` [ RunTime:0.001395s ]
SELECT `edu_article_category`.*,`pivot`.`id` AS `pivot__id`,`pivot`.`article_id` AS `pivot__article_id`,`pivot`.`tag_id` AS `pivot__tag_id` FROM `edu_article_category` INNER JOIN `edu_article_tags` `pivot` ON `pivot`.`tag_id`=`edu_article_category`.`id` WHERE `pivot`.`article_id` = '7' [ RunTime:0.000943s ]
SHOW FULL COLUMNS FROM `edu_article_comment` [ RunTime:0.001096s ]
SELECT COUNT(*) AS think_count FROM `edu_article_comment` WHERE `article_id` = 7 LIMIT 1 [ RunTime:0.000665s ]
SHOW FULL COLUMNS FROM `edu_article_likes` [ RunTime:0.001143s ]
SELECT * FROM `edu_article_likes` WHERE `article_id` = 7 AND `uid` = 0 LIMIT 1 [ RunTime:0.000672s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 0 AND `status` = 1 ORDER BY `sort` ASC [ RunTime:0.000765s ]

0.163560s