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奇妙的图形

作者：纸上魔方

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这是一套有趣的数学科普丛书，涉及美食、人体、医学、建筑、物理、军事、交通、古代数学等与数学相关的领域，内容包罗万象，故事生动有趣，是培养孩子数学兴趣和数学思维的绝佳读物。本套丛书运用生动活泼的文字、幽默诙谐的漫画以及贴近生活的例子，将复杂深奥的数学知识化繁为简，让孩子一看就明白，一学就会用！微波炉是如何加热食物的？神奇的高压锅？冰箱低温用处多？食物中有多少热量？食物让你胖还是瘦？ …… 一日三餐，真不简单！

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CONNECT:[ UseTime:0.001487s ] mysql:host=127.0.0.1;port=3306;dbname=mq;charset=utf8mb4
SHOW FULL COLUMNS FROM `ls_goods_category` [ RunTime:0.001773s ]
SELECT `id`,`name`,`pid`,`image`,`level`,`is_show`,`is_recommend` FROM `ls_goods_category` WHERE `is_show` = 1 AND `del` = 0 AND `level` = 1 ORDER BY `id` ASC,`sort` DESC [ RunTime:0.001717s ]
SELECT `id`,`name`,`pid`,`image`,`level`,`is_show`,`is_recommend` FROM `ls_goods_category` WHERE `is_show` = 1 AND `del` = 0 AND `level` = 2 ORDER BY `id` ASC,`sort` DESC [ RunTime:0.001700s ]
SELECT `id`,`name`,`pid`,`image`,`level`,`is_show`,`is_recommend` FROM `ls_goods_category` WHERE `is_show` = 1 AND `del` = 0 AND `level` = 3 ORDER BY `sort` DESC [ RunTime:0.001000s ]
SHOW FULL COLUMNS FROM `ls_nav` [ RunTime:0.001877s ]
SELECT `id`,`name`,`pid`,`image`,`level`,`link`,`module`,`is_show`,`is_recommend` FROM `ls_nav` WHERE `is_show` = 1 AND `del` = 0 AND `level` = 1 ORDER BY `id` ASC,`sort` DESC [ RunTime:0.001785s ]
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SHOW FULL COLUMNS FROM `ls_friendly_link` [ RunTime:0.002068s ]
SELECT * FROM `ls_friendly_link` WHERE `is_show` = 1 AND `del` = 0 ORDER BY `id` DESC,`sort` DESC [ RunTime:0.001308s ]
SHOW FULL COLUMNS FROM `ls_goods` [ RunTime:0.002435s ]
SELECT * FROM `ls_goods` WHERE `id` = 154200 AND `status` = 1 LIMIT 1 [ RunTime:0.000985s ]
UPDATE `ls_goods` SET `click_count` = 47 , `update_time` = 1756291577 WHERE `id` = 154200 [ RunTime:0.001197s ]
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SHOW FULL COLUMNS FROM `ls_ad` [ RunTime:0.004235s ]
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SELECT `id`,`name` FROM `ls_goods_category` WHERE `id` = 9 LIMIT 1 [ RunTime:0.001599s ]
SELECT `id`,`name` FROM `ls_goods_category` WHERE `id` = 70 LIMIT 1 [ RunTime:0.002105s ]
SELECT `a`.*,`ap`.`width`,`ap`.`height` FROM `ls_ad` `a` INNER JOIN `ls_ad_position` `ap` ON `a`.`pid`=`ap`.`id` WHERE `pid` = 11 AND `ap`.`client` = '2' AND `a`.`status` = '1' AND `a`.`del` = '0' AND `ap`.`status` = '1' AND `ap`.`del` = '0' ORDER BY `sort` DESC,`id` DESC [ RunTime:0.000993s ]
SELECT `a`.*,`ap`.`width`,`ap`.`height` FROM `ls_ad` `a` INNER JOIN `ls_ad_position` `ap` ON `a`.`pid`=`ap`.`id` WHERE `pid` = 14 AND `ap`.`client` = '2' AND `a`.`status` = '1' AND `a`.`del` = '0' AND `ap`.`status` = '1' AND `ap`.`del` = '0' ORDER BY `sort` DESC,`id` DESC [ RunTime:0.002290s ]
SELECT * FROM `ls_goods` WHERE `del` = 0 AND `status` = 1 AND `create_time` <= 1756291517 ORDER BY `create_time` DESC LIMIT 5 [ RunTime:1.034352s ]

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