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高中数学放缩法在解答数列题中的应用技巧(十一种放缩方法全归纳)（文件为压缩包，要用电脑下载）.zip

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/www/wwwroot/www.gwzjk.com/application/base/model/Reward.php ( 6.34 KB )
/www/wwwroot/www.gwzjk.com/application/base/model/RewardType.php ( 2.52 KB )
/www/wwwroot/www.gwzjk.com/application/base/model/Redis.php ( 4.19 KB )
/www/wwwroot/www.gwzjk.com/thinkphp/library/think/cache/driver/Redis.php ( 7.24 KB )
/www/wwwroot/www.gwzjk.com/thinkphp/library/think/Response.php ( 9.68 KB )
/www/wwwroot/www.gwzjk.com/thinkphp/library/think/response/View.php ( 2.77 KB )
/www/wwwroot/www.gwzjk.com/runtime/temp/0acf127f58b3e40eaf0cd9d91ba7ee20.php ( 73.96 KB )
/www/wwwroot/www.gwzjk.com/thinkphp/library/think/facade/Url.php ( 1.13 KB )
/www/wwwroot/www.gwzjk.com/thinkphp/library/think/Url.php ( 13.22 KB )
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[ DB ] CONNECT:[ UseTime:0.000121s ] mysql:host=localhost;dbname=www.gwzjk.com;charset=utf8
[ SQL ] SHOW COLUMNS FROM `ye_spiders` [ RunTime:0.000265s ]
[ SQL ] INSERT INTO `ye_spiders` (`name` , `url` , `create_time` , `update_time`) VALUES ('其它蜘蛛' , 'http://www.gwzjk.com//index/article/detail/detail_id/34445.html' , '2025-04-22 18:09:04.770481' , '2025-04-22 18:09:04.770488') [ RunTime:0.000137s ]
[ SQL ] SHOW COLUMNS FROM `ye_hotkey` [ RunTime:0.000265s ]
[ SQL ] SELECT * FROM `ye_hotkey` WHERE `status` > -1 ORDER BY `sort` DESC LIMIT 0,8 [ RunTime:0.000107s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_hotkey', 'partitions' => NULL, 'type' => 'ALL', 'possible_keys' => NULL, 'key' => NULL, 'key_len' => NULL, 'ref' => NULL, 'rows' => 30, 'filtered' => 33.32999801635742, 'extra' => 'Using where; Using filesort', ) ]
[ SQL ] SHOW COLUMNS FROM `ye_article` [ RunTime:0.000377s ]
[ SQL ] SELECT *,type as article_type FROM `ye_article` WHERE `status` = 1 AND `id` = 34445 LIMIT 1 [ RunTime:0.000256s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_article', 'partitions' => NULL, 'type' => 'const', 'possible_keys' => 'PRIMARY', 'key' => 'PRIMARY', 'key_len' => '4', 'ref' => 'const', 'rows' => 1, 'filtered' => 100.0, 'extra' => NULL, ) ]
[ DB ] CONNECT:[ UseTime:0.000117s ] mysql:host=localhost;dbname=www.gwzjk.com;charset=utf8
[ SQL ] SHOW COLUMNS FROM `ye_article_content` [ RunTime:0.000243s ]
[ SQL ] SELECT * FROM `ye_article_content` WHERE `id` = 34445 LIMIT 1 [ RunTime:0.000184s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_article_content', 'partitions' => NULL, 'type' => 'const', 'possible_keys' => 'PRIMARY,idx_id', 'key' => 'PRIMARY', 'key_len' => '4', 'ref' => 'const', 'rows' => 1, 'filtered' => 100.0, 'extra' => NULL, ) ]
[ SQL ] SHOW COLUMNS FROM `ye_reward` [ RunTime:0.000217s ]
[ SQL ] SELECT COUNT(*) AS tp_count FROM `ye_reward` WHERE `detail_id` = 34445 AND `status` = 1 [ RunTime:0.000119s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_reward', 'partitions' => NULL, 'type' => 'ref', 'possible_keys' => 'index_detail_id', 'key' => 'index_detail_id', 'key_len' => '7', 'ref' => 'const,const', 'rows' => 1, 'filtered' => 100.0, 'extra' => 'Using index', ) ]
[ SQL ] SHOW COLUMNS FROM `ye_reward_type` [ RunTime:0.000181s ]
[ SQL ] SELECT * FROM `ye_reward_type` WHERE `status` > -1 ORDER BY `sort` DESC LIMIT 0,9 [ RunTime:0.000068s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_reward_type', 'partitions' => NULL, 'type' => 'ALL', 'possible_keys' => 'index_status', 'key' => NULL, 'key_len' => NULL, 'ref' => NULL, 'rows' => 9, 'filtered' => 100.0, 'extra' => 'Using where; Using filesort', ) ]
[ SQL ] SELECT * FROM `ye_article` WHERE `status` = 1 AND `display` = 1 AND `id` < 34445 AND `category_id` = 291 LIMIT 1 [ RunTime:0.003674s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_article', 'partitions' => NULL, 'type' => 'index_merge', 'possible_keys' => 'PRIMARY,idx_category,idx_status', 'key' => 'idx_status,idx_category', 'key_len' => '8,9', 'ref' => NULL, 'rows' => 720, 'filtered' => 100.0, 'extra' => 'Using intersect(idx_status,idx_category); Using where', ) ]
[ SQL ] SELECT * FROM `ye_article` WHERE `status` = 1 AND `display` = 1 AND `id` > 34445 AND `category_id` = 291 LIMIT 1 [ RunTime:0.000226s ]
[ EXPLAIN : array ( 'id' => 1, 'select_type' => 'SIMPLE', 'table' => 'ye_article', 'partitions' => NULL, 'type' => 'index_merge', 'possible_keys' => 'PRIMARY,idx_category,idx_status', 'key' => 'idx_status,idx_category', 'key_len' => '8,9', 'ref' => NULL, 'rows' => 4123, 'filtered' => 100.0, 'extra' => 'Using intersect(idx_status,idx_category); Using where', ) ]

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高中数学放缩法在解答数列题中的应用技巧(十一种放缩方法全归纳)（文件为压缩包，要用电脑下载）.zip

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