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高中数学破解离心率问题之建立齐次式和几何化原卷+解析20231111（文件为压缩包，要用电脑下载）

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本文标题：高中数学破解离心率问题之建立齐次式和几何化原卷+解析20231111（文件为压缩包，要用电脑下载）

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/www/wwwroot/www.gwzjk.com/application/base/model/Article.php ( 83.64 KB )
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/www/wwwroot/www.gwzjk.com/application/base/model/Reward.php ( 6.34 KB )
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[ DB ] CONNECT:[ UseTime:0.000149s ] mysql:host=localhost;dbname=www.gwzjk.com;charset=utf8
[ SQL ] SHOW COLUMNS FROM `ye_spiders` [ RunTime:0.000260s ]
[ 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/30061.html' , '2025-04-20 21:09:52.651595' , '2025-04-20 21:09:52.651602') [ RunTime:0.000111s ]
[ SQL ] SHOW COLUMNS FROM `ye_hotkey` [ RunTime:0.000225s ]
[ SQL ] SELECT * FROM `ye_hotkey` WHERE `status` > -1 ORDER BY `sort` DESC LIMIT 0,8 [ RunTime:0.000089s ]
[ 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:0.000354s ]
[ SQL ] SELECT *,type as article_type FROM `ye_article` WHERE `status` = 1 AND `id` = 30061 LIMIT 1 [ RunTime:0.000223s ]
[ 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:0.000135s ] mysql:host=localhost;dbname=www.gwzjk.com;charset=utf8
[ SQL ] SHOW COLUMNS FROM `ye_article_content` [ RunTime:0.000269s ]
[ SQL ] SELECT * FROM `ye_article_content` WHERE `id` = 30061 LIMIT 1 [ RunTime:0.000434s ]
[ 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:0.000214s ]
[ SQL ] SELECT COUNT(*) AS tp_count FROM `ye_reward` WHERE `detail_id` = 30061 AND `status` = 1 [ RunTime:0.000120s ]
[ 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:0.000180s ]
[ SQL ] SELECT * FROM `ye_reward_type` WHERE `status` > -1 ORDER BY `sort` DESC LIMIT 0,9 [ RunTime:0.000081s ]
[ 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` < 30061 AND `category_id` = 291 LIMIT 1 [ RunTime:0.003682s ]
[ 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' => 439, '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` > 30061 AND `category_id` = 291 LIMIT 1 [ RunTime:0.000243s ]
[ 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' => 4394, 'filtered' => 100.0, 'extra' => 'Using intersect(idx_status,idx_category); Using where', ) ]

0.030562s

高中数学破解离心率问题之建立齐次式和几何化原卷+解析20231111（文件为压缩包，要用电脑下载）

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