www.pitetragono.gr: TO ON-LINE ΜΑΘΗΜΑΤΙΚΟ ΒΟΗΘΗΜΑ    
Το www.pitetragono.gr είναι ένα on-line δωρεάν ηλεκτρονικό βοήθημα (και όχι μόνο) για τα μαθηματικά όλων των τάξεων. Εδώ θα βρείτε μεθοδολογίες και λυμένα παραδείγματα ανά κεφάλαιο και ανά ενότητα στο μάθημα και στην τάξη που σας ενδιαφέρει. Επίσης μπορείτε να βρείτε τυπολόγια μαθηματικών και τις απαραίτητες προαπαιτούμενες γνώσεις ανά τάξη. Βρείτε το αρχείο που σας ενδιαφέρει σε μορφή pdf και αποθηκεύστε το στον υπολογιστή, στο laptop, tablet ή ακόμα και στο κινητό. Μπορείτε ακόμα να διαβάσετε σχετικά νέα και άρθρα που σας αφορούν, να δείτε τα βιντεομαθήματα που υπάρχουν και να εγγραφείτε στο αντίστοιχο κανάλι στο YouTube. Υπάρχουν και άλλες ενότητες στο αρχικού μενού που ίσως σας ενδιαφέρουν όπως : Θέματα πανελληνίων, Υπολογισμός Μοριων, Διασκεδαστικά μαθηματικά, Διαγωνισμοί κ.α. Τέλος, από το αρχικό μενού στην «Επικοινωνία» μπορείτε να στείλετε κάποια ερώτηση ή απορία.
ΜΑΘΗΜΑΤΙΚΑ Γ΄ΛΥΚΕΙΟΥ : ΟΜΑΔΕΣ ΠΡΟΣΑΝΑΤΟΛΙΣΜΟΥ ΘΕΤΙΚΩΝ ΣΠΟΥΔΩΝ - ΟΙΚΟΝΟΜΙΑΣ & ΠΛΗΡΟΦΟΡΙΚΗΣ
Το παρακάτω βοήθημα είναι ένα πολύ χρήσιμο εργαλείο για τα μαθηματικά προσανατολισμού της Γ΄ Λυκείου, στο οποίο περιέχονται :
ΜΑΘΗΜΑΤΙΚΑ ΠΡΟΣΑΝΑΤΟΛΙΣΜΟΥ Γ΄ΛΥΚΕΙΟΥ : ΜΕΡΟΣ Α
ΕΔΩ ΘΑ ΒΡΕΙΤΕ ΕΝΑ ΤΥΠΟΛΟΓΙΟ, ΠΟΥ ΠΕΡΙΕΧΕΙ ΟΛΕΣ ΤΙΣ ΓΝΩΣΕΙΣ ΑΠΟ
ΠΡΟΗΓΟΥΜΕΝΕΣ ΤΑΞΕΙΣ ΠΟΥ ΧΡΕΙΑΖΕΣΤΕ ΓΙΑ ΤΑ ΜΑΘΗΜΑΤΙΚΑ ΤΗΣ
Α’ ΛΥΚΕΙΟΥ! ΥΠΑΡΧΕΙ ΑΝΑΛΥΤΙΚΗ ΘΕΩΡΙΑ ΚΑΙ ΠΟΛΛΑ ΛΥΜΕΝΑ ΠΑΡΑΔΕΙΓΜΑΤΑ!
ΓΙΑ ΝΑ ΑΝΟΙΞΕΤΕ ΤΟ ΑΡΧΕΙΟ ΠΑΤΗΣΤΕ ΕΔΩ
ΕΔΩ ΘΑ ΒΡΕΙΤΕ ΕΝΑ ΤΥΠΟΛΟΓΙΟ, ΠΟΥ ΠΕΡΙΕΧΕΙ ΟΛΕΣ ΤΙΣ ΓΝΩΣΕΙΣ ΑΠΟ
ΠΡΟΗΓΟΥΜΕΝΕΣ ΤΑΞΕΙΣ ΠΟΥ ΧΡΕΙΑΖΕΣΤΕ ΓΙΑ ΤΑ ΜΑΘΗΜΑΤΙΚΑ ΤΗΣ
Γ’ ΛΥΚΕΙΟΥ!ΥΠΑΡΧΕΙ ΑΝΑΛΥΤΙΚΗ ΘΕΩΡΙΑ ΚΑΙ ΠΟΛΛΑ ΛΥΜΕΝΑ ΠΑΡΑΔΕΙΓΜΑΤΑ!
ΓΙΑ ΝΑ ΑΝΟΙΞΕΤΕ ΤΟ ΑΡΧΕΙΟ ΠΑΤΗΣΤΕ ΕΔΩ
Το παρακάτω βοήθημα είναι ένα πολύ χρήσιμο εργαλείο για την Άλγεβρα της A΄ Λυκείου. Κάθε κεφάλαιο περιέχει :
Βασική θεωρία
Μεθοδολογίες & σχόλια
Λυμένα παραδείγματα
Ασκήσεις όλων των επιπέδων δυσκολίας
Θέματα από την τράπεζα της A΄ Λυκείου του υπουργείου (2022)
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  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=178 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=112 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=173 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=171 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=181 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT m.id, m.title, m.module, m.position, m.content, m.showtitle, m.params, mm.menuid
  FROM 5ox_modules AS m
  LEFT JOIN 5ox_modules_menu AS mm 
  ON mm.moduleid = m.id
  LEFT JOIN 5ox_extensions AS e 
  ON e.element = m.module 
  AND e.client_id = m.client_id
  WHERE m.published = 1 
  AND e.enabled = 1 
  AND (m.publish_up = '0000-00-00 00:00:00' OR m.publish_up <= '2025-10-31 01:58:45') 
  AND (m.publish_down = '0000-00-00 00:00:00' OR m.publish_down >= '2025-10-31 01:58:45') 
  AND m.access IN (1,1,5) 
  AND m.client_id = 0 
  AND (mm.menuid = 101 OR mm.menuid <= 0)
  ORDER BY m.position, m.orderingSELECT m.id
  FROM 5ox_modules AS m
  INNER JOIN 5ox_modules_menu AS mm 
  ON mm.moduleid = m.id
  WHERE m.client_id = 0 
  AND m.published = 1 
  AND m.module LIKE 'mod_k2_%' 
  AND (mm.menuid < 0 
  AND mm.menuid = -101) 
  AND m.position IN ("logo", "top", "mainmenu", "toolbar", "promo-
  left", "promo", "promo-right", "content-top", "
  left", "right", "innerleft", "innerright", "breadcrumbs", "user-top", "user1", "user2", "mainbody-top", "mainbody-bottom", "user3", "user4", "user-bottom", "banner", "content-bottom", "user5", "user6", "user7", "footer", "bottom", "debug", "stick-lefttop", "stick-leftmiddle", "stick-leftbottom", "stick-righttop", "stick-rightmiddle", "stick-rightbottom")SELECT m.id
  FROM 5ox_modules AS m
  INNER JOIN 5ox_modules_menu AS mm 
  ON mm.moduleid = m.id
  WHERE m.client_id = 0 
  AND m.published = 1 
  AND m.module LIKE 'mod_k2_%' 
  AND (mm.menuid = 101 OR mm.menuid = 0 OR (mm.menuid < 0 
  AND mm.menuid != -101)) 
  AND m.position IN ("logo", "top", "mainmenu", "toolbar", "promo-
  left", "promo", "promo-right", "content-top", "
  left", "right", "innerleft", "innerright", "breadcrumbs", "user-top", "user1", "user2", "mainbody-top", "mainbody-bottom", "user3", "user4", "user-bottom", "banner", "content-bottom", "user5", "user6", "user7", "footer", "bottom", "debug", "stick-lefttop", "stick-leftmiddle", "stick-leftbottom", "stick-righttop", "stick-rightmiddle", "stick-rightbottom")
  GROUP BY m.idSELECT assets
  FROM 5ox_jsn_poweradmin_menu_assets
  WHERE type='css' 
  AND menuId='101'SELECT assets
  FROM 5ox_jsn_poweradmin_menu_assets
  WHERE type='js' 
  AND menuId='101'SELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'SELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'SELECT c.introtext, c.fulltext
				   
  FROM 5ox_imageshow_showlist sl
				   
  INNER JOIN 5ox_content c 
  ON sl.alter_autid = c.id
				   
  WHERE sl.showlist_id=6SELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 6SELECT * 
  FROM 5ox_imageshow_showcase 
  WHERE  published = 1 
  AND  showcase_id = 1SELECT * 
  FROM 5ox_imageshow_theme_profile 
  WHERE showcase_id =1SHOW FULL COLUMNS 
  FROM `5ox_imageshow_showlist`SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '6'UPDATE 5ox_extensions 
  SET enabled = 1 
  WHERE element LIKE 'source%' 
  AND folder = 'jsnimageshow' 
  AND enabled = 0SELECT * 
  FROM 5ox_extensions 
  WHERE element LIKE 'source%' 
  AND folder = 'jsnimageshow' 
  AND enabled = 1SELECT album_extid
				  
  FROM 5ox_imageshow_images
				  
  WHERE showlist_id =6
				  
  AND sync = 1
				  
  GROUP BY album_extidSELECT
						image_id, image_title,
						image_small, image_big, image_medium,
						image_description, image_link,
						image_extid, album_extid, image_size, custom_data, exif_data
				   
  FROM 5ox_imageshow_images
				   
  WHERE showlist_id =6
				   
  ORDER BY ordering ASCSELECT *
			   
  FROM 5ox_extensions
			   
  WHERE folder = 'jsnimageshow'
			   
  AND element='themeslider'SELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 6SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '6'SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '6'SELECT album_extid
				  
  FROM 5ox_imageshow_images
				  
  WHERE showlist_id =6
				  
  AND sync = 1
				  
  GROUP BY album_extidSELECT
						image_id, image_title,
						image_small, image_big, image_medium,
						image_description, image_link,
						image_extid, album_extid, image_size, custom_data, exif_data
				   
  FROM 5ox_imageshow_images
				   
  WHERE showlist_id =6
				   
  ORDER BY ordering ASCSELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 6SHOW FULL COLUMNS 
  FROM `5ox_imageshow_theme_slider`SELECT *
  FROM 5ox_imageshow_theme_slider
  WHERE `theme_id` = '1'SELECT guest, client_id
  FROM 5ox_session
  WHERE client_id = 0SELECT a.id, a.title, a.alias, a.introtext, a.checked_out, a.checked_out_time, a.catid, a.created, a.created_by, a.created_by_alias, 
  CASE WHEN a.modified = '0000-00-00 00:00:00' THEN a.created ELSE a.modified END as modified, a.modified_by, uam.name as modified_by_name,
  CASE WHEN a.publish_up = '0000-00-00 00:00:00' THEN a.created ELSE a.publish_up END as publish_up,a.publish_down, a.images, a.urls, a.attribs, a.metadata, a.metakey, a.metadesc, a.access, a.hits, a.xreference, a.featured, LENGTH(a.fulltext) AS readmore,
  CASE WHEN badcats.id is not null THEN 0 ELSE a.state END AS state,c.title AS category_title, c.path AS category_route, c.access AS category_access, c.alias AS category_alias,
  CASE WHEN a.created_by_alias > ' ' THEN a.created_by_alias ELSE ua.name END AS author,ua.email AS author_email,contact.id as contactid,parent.title as parent_title, parent.id as parent_id, parent.path as parent_route, parent.alias as parent_alias,ROUND(v.rating_sum / v.rating_count, 0) AS rating, v.rating_count as rating_count,c.published, 
  CASE WHEN badcats.id is null THEN c.published ELSE 0 END AS parents_published
  FROM 5ox_content AS a
  LEFT JOIN 5ox_content_frontpage AS fp 
  ON fp.content_id = a.id
  LEFT JOIN 5ox_categories AS c 
  ON c.id = a.catid
  LEFT JOIN 5ox_users AS ua 
  ON ua.id = a.created_by
  LEFT JOIN 5ox_users AS uam 
  ON uam.id = a.modified_by
  LEFT JOIN (
SELECT contact.user_id, MAX(contact.id) AS id, contact.language
  FROM 5ox_contact_details AS contact
  WHERE contact.published = 1
  GROUP BY contact.user_id, contact.language) AS contact 
  ON contact.user_id = a.created_by
  LEFT JOIN 5ox_categories as parent 
  ON parent.id = c.parent_id
  LEFT JOIN 5ox_content_rating AS v 
  ON a.id = v.content_id
  LEFT 
  OUTER JOIN (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id ) AS badcats 
  ON badcats.id = c.id
  WHERE a.access IN (1,1,5) 
  AND c.access IN (1,1,5) 
  AND 
  CASE WHEN badcats.id is null THEN a.state ELSE 0 END = 1 
  AND (a.publish_up = '0000-00-00 00:00:00' OR a.publish_up <= '2025-10-31 01:58:45') 
  AND (a.publish_down = '0000-00-00 00:00:00' OR a.publish_down >= '2025-10-31 01:58:45')
  GROUP BY a.id, a.title, a.alias, a.introtext, a.checked_out, a.checked_out_time, a.catid, a.created, a.created_by, a.created_by_alias, a.created, a.modified, a.modified_by, uam.name, a.publish_up, a.attribs, a.metadata, a.metakey, a.metadesc, a.access, a.hits, a.xreference, a.featured, a.fulltext, a.state, a.publish_down, badcats.id, c.title, c.path, c.access, c.alias, uam.id, ua.name, ua.email, contact.id, parent.title, parent.id, parent.path, parent.alias, v.rating_sum, v.rating_count, c.published, c.lft, a.ordering, parent.lft, fp.ordering, c.id, a.images, a.urls
  ORDER BY a.created DESC 
  LIMIT 0, 5SELECT `m`.`tag_id`,`t`.*
  FROM `5ox_contentitem_tag_map` AS m 
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`
  WHERE `m`.`type_alias` = 'com_content.article' 
  AND `m`.`content_item_id` = 302 
  AND `t`.`published` = 1 
  AND t.access IN (1,1,5)SELECT `m`.`tag_id`,`t`.*
  FROM `5ox_contentitem_tag_map` AS m 
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`
  WHERE `m`.`type_alias` = 'com_content.article' 
  AND `m`.`content_item_id` = 301 
  AND `t`.`published` = 1 
  AND t.access IN (1,1,5)SELECT `m`.`tag_id`,`t`.*
  FROM `5ox_contentitem_tag_map` AS m 
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`
  WHERE `m`.`type_alias` = 'com_content.article' 
  AND `m`.`content_item_id` = 300 
  AND `t`.`published` = 1 
  AND t.access IN (1,1,5)SELECT `m`.`tag_id`,`t`.*
  FROM `5ox_contentitem_tag_map` AS m 
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`
  WHERE `m`.`type_alias` = 'com_content.article' 
  AND `m`.`content_item_id` = 299 
  AND `t`.`published` = 1 
  AND t.access IN (1,1,5)SELECT `m`.`tag_id`,`t`.*
  FROM `5ox_contentitem_tag_map` AS m 
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`
  WHERE `m`.`type_alias` = 'com_content.article' 
  AND `m`.`content_item_id` = 298 
  AND `t`.`published` = 1 
  AND t.access IN (1,1,5)SELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=88 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=66 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
  FROM 5ox_categories as c
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt)
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt 
  WHERE parent.extension = 'com_content' 
  AND parent.published != 1 
  GROUP BY cat.id) AS badcats 
  ON badcats.id = c.id
  WHERE (c.extension='com_content' OR c.extension='system') 
  AND c.access IN (1,1,5) 
  AND c.published = 1 
  AND s.id=94 
  AND badcats.id is null
  GROUP BY c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
			 c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,
			 c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
			 c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version
  ORDER BY c.lftSELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'SELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'SELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'SELECT c.introtext, c.fulltext
				   
  FROM 5ox_imageshow_showlist sl
				   
  INNER JOIN 5ox_content c 
  ON sl.alter_autid = c.id
				   
  WHERE sl.showlist_id=3SELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 3SELECT * 
  FROM 5ox_imageshow_showcase 
  WHERE  published = 1 
  AND  showcase_id = 1SELECT * 
  FROM 5ox_imageshow_theme_profile 
  WHERE showcase_id =1SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '3'SELECT album_extid
				  
  FROM 5ox_imageshow_images
				  
  WHERE showlist_id =3
				  
  AND sync = 1
				  
  GROUP BY album_extidSELECT
						image_id, image_title,
						image_small, image_big, image_medium,
						image_description, image_link,
						image_extid, album_extid, image_size, custom_data, exif_data
				   
  FROM 5ox_imageshow_images
				   
  WHERE showlist_id =3
				   
  ORDER BY ordering ASCSELECT *
			   
  FROM 5ox_extensions
			   
  WHERE folder = 'jsnimageshow'
			   
  AND element='themeslider'SELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 3SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '3'SELECT *
  FROM 5ox_imageshow_showlist
  WHERE `showlist_id` = '3'SELECT album_extid
				  
  FROM 5ox_imageshow_images
				  
  WHERE showlist_id =3
				  
  AND sync = 1
				  
  GROUP BY album_extidSELECT
						image_id, image_title,
						image_small, image_big, image_medium,
						image_description, image_link,
						image_extid, album_extid, image_size, custom_data, exif_data
				   
  FROM 5ox_imageshow_images
				   
  WHERE showlist_id =3
				   
  ORDER BY ordering ASCSELECT * 
  FROM 5ox_imageshow_showlist 
  WHERE  published = 1 
  AND  showlist_id = 3SELECT *
  FROM 5ox_imageshow_theme_slider
  WHERE `theme_id` = '1'SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 183 OR id = 184SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 183 OR id = 185SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 183 OR id = 464SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 190 OR id = 191SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 190 OR id = 192SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 193 OR id = 372SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 194 OR id = 374SELECT lft, rgt
  FROM 5ox_menu
  WHERE id = 194 OR id = 375SELECT *
  FROM 5ox_extensions
  WHERE element='com_imageshow' 
  AND type='component'UPDATE `5ox_session`
  SET `data` = '__default|a:9:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1761875925;s:18:\"session.timer.last\";i:1761875925;s:17:\"session.timer.now\";i:1761875925;s:24:\"session.client.forwarded\";s:10:\"10.2.47.14\";s:22:\"session.client.browser\";s:103:\"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)\";s:8:\"registry\";O:9:\"JRegistry\":1:{s:7:\"\\0\\0\\0data\";O:8:\"stdClass\":0:{}}s:4:\"user\";O:5:\"JUser\":24:{s:9:\"\\0\\0\\0isRoot\";b:0;s:2:\"id\";i:0;s:4:\"name\";N;s:8:\"username\";N;s:5:\"email\";N;s:8:\"password\";N;s:14:\"password_clear\";s:0:\"\";s:5:\"block\";N;s:9:\"sendEmail\";i:0;s:12:\"registerDate\";N;s:13:\"lastvisitDate\";N;s:10:\"activation\";N;s:6:\"params\";N;s:6:\"groups\";a:1:{i:0;s:1:\"9\";}s:5:\"guest\";i:1;s:13:\"lastResetTime\";N;s:10:\"resetCount\";N;s:10:\"\\0\\0\\0_params\";O:9:\"JRegistry\":1:{s:7:\"\\0\\0\\0data\";O:8:\"stdClass\":0:{}}s:14:\"\\0\\0\\0_authGroups\";a:2:{i:0;i:1;i:1;i:9;}s:14:\"\\0\\0\\0_authLevels\";a:3:{i:0;i:1;i:1;i:1;i:2;i:5;}s:15:\"\\0\\0\\0_authActions\";N;s:12:\"\\0\\0\\0_errorMsg\";N;s:10:\"\\0\\0\\0_errors\";a:0:{}s:3:\"aid\";i:0;}s:16:\"com_mailto.links\";a:5:{s:40:\"74d1a4e51e76d8e62a3665be5be5ff2631013a08\";O:8:\"stdClass\":2:{s:4:\"link\";s:120:\"http://www.pitetragono.gr/index.php/videomathimata/126-vid-glyk/vid-glyk-mathkat/voithima-g-lykeiou-pros/302-2019-20-pdf\";s:6:\"expiry\";i:1761875926;}s:40:\"dddf301ea4ab4fe275904394f890964c513f5d54\";O:8:\"stdClass\":2:{s:4:\"link\";s:74:\"http://www.pitetragono.gr/index.php/proapaitoumena/140-2013-09-03-10-33-08\";s:6:\"expiry\";i:1761875926;}s:40:\"7998752be194e7e799dcf53e8e714d67910f918e\";O:8:\"stdClass\":2:{s:4:\"link\";s:71:\"http://www.pitetragono.gr/index.php/proapaitoumena/83-proapaitoumenes-b\";s:6:\"expiry\";i:1761875926;}s:40:\"1287f782a0020c2e2ae3d468faaffcda0d13869d\";O:8:\"stdClass\":2:{s:4:\"link\";s:73:\"http://www.pitetragono.gr/index.php/proapaitoumena/75-2013-06-13-13-56-49\";s:6:\"expiry\";i:1761875926;}s:40:\"602b3f7ee083c65ba88c77d81d35cb0f8c9482e3\";O:8:\"stdClass\":2:{s:4:\"link\";s:98:\"http://www.pitetragono.gr/index.php/videomathimata/124-vid-alyk/voithima-algebra-a-lykeiou/234-pdf\";s:6:\"expiry\";i:1761875926;}}}'
	, `time` = '1761875926'
  WHERE `session_id` = 'iasgl9v2ehrdobm5glnlei8944'14 × SELECT * 
  FROM 5ox_extensions12 × SELECT `m`.`tag_id`,`t`.* 
  FROM `5ox_contentitem_tag_map` AS m  
  INNER JOIN `5ox_tags` AS t  
  ON `m`.`tag_id` = `t`.`id`12 × SELECT * 
  FROM 5ox_imageshow_showlist8 × SELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,    c.created_time, c.created_user_id, c.description, c.extension, c.hits, c.language, c.level,    c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,    c.path, c.published, c.rgt, c.title, c.modified_user_id, c.version, 
  CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug 
  FROM 5ox_categories as c 
  LEFT JOIN 5ox_categories AS s 
  ON (s.lft <= c.lft 
  AND s.rgt >= c.rgt) OR (s.lft > c.lft 
  AND s.rgt < c.rgt) 
  LEFT JOIN  (SELECT cat.id as id 
  FROM 5ox_categories AS cat JOIN 5ox_categories AS parent 
  ON cat.lft BETWEEN parent.lft 
  AND parent.rgt8 × SELECT lft, rgt 
  FROM 5ox_menu5 × SELECT extension_id AS id, element AS "option", params, enabled 
  FROM 5ox_extensions4 × SELECT       image_id, image_title,       image_small, image_big, image_medium,       image_description, image_link,       image_extid, album_extid, image_size, custom_data, exif_data        
  FROM 5ox_imageshow_images4 × SELECT album_extid       
  FROM 5ox_imageshow_images2 × SELECT a.id, a.title, a.alias, a.introtext, a.checked_out, a.checked_out_time, a.catid, a.created, a.created_by, a.created_by_alias, 
  CASE WHEN a.modified = '0000-00-00 00:00:00' THEN a.created ELSE a.modified END as modified, a.modified_by, uam.name as modified_by_name,
  CASE WHEN a.publish_up = '0000-00-00 00:00:00' THEN a.created ELSE a.publish_up END as publish_up,a.publish_down, a.images, a.urls, a.attribs, a.metadata, a.metakey, a.metadesc, a.access, a.hits, a.xreference, a.featured, LENGTH(a.fulltext) AS readmore,
  CASE WHEN badcats.id is not null THEN 0 ELSE a.state END AS state,c.title AS category_title, c.path AS category_route, c.access AS category_access, c.alias AS category_alias,
  CASE WHEN a.created_by_alias > ' ' THEN a.created_by_alias ELSE ua.name END AS author,ua.email AS author_email,contact.id as contactid,parent.title as parent_title, parent.id as parent_id, parent.path as parent_route, parent.alias as parent_alias,ROUND(v.rating_sum / v.rating_count, 0) AS rating, v.rating_count as rating_count,c.published, 
  CASE WHEN badcats.id is null THEN c.published ELSE 0 END AS parents_published 
  FROM 5ox_content AS a 
  LEFT JOIN 5ox_categories AS c 
  ON c.id = a.catid 
  LEFT JOIN 5ox_users AS ua 
  ON ua.id = a.created_by 
  LEFT JOIN 5ox_users AS uam 
  ON uam.id = a.modified_by 
  LEFT JOIN ( SELECT contact.user_id, MAX(contact.id) AS id, contact.language 
  FROM 5ox_contact_details AS contact2 × SELECT * 
  FROM 5ox_imageshow_theme_slider2 × SELECT assets 
  FROM 5ox_jsn_poweradmin_menu_assets2 × SELECT m.id 
  FROM 5ox_modules AS m 
  INNER JOIN 5ox_modules_menu AS mm 
  ON mm.moduleid = m.id2 × SELECT c.introtext, c.fulltext        
  FROM 5ox_imageshow_showlist sl        
  INNER JOIN 5ox_content c 
  ON sl.alter_autid = c.id2 × SELECT *       
  FROM 5ox_extensions2 × SELECT * 
  FROM 5ox_imageshow_theme_profile2 × SELECT * 
  FROM 5ox_imageshow_showcase1 × SELECT a.id, a.title, a.alias, a.introtext, a.checked_out, a.checked_out_time, a.catid, a.created, a.created_by, a.created_by_alias, 
  CASE WHEN a.modified = '0000-00-00 00:00:00' THEN a.created ELSE a.modified END as modified, a.modified_by, uam.name as modified_by_name,
  CASE WHEN a.publish_up = '0000-00-00 00:00:00' THEN a.created ELSE a.publish_up END as publish_up,a.publish_down, a.images, a.urls, a.attribs, a.metadata, a.metakey, a.metadesc, a.access, a.hits, a.xreference, a.featured, LENGTH(a.fulltext) AS readmore,
  CASE WHEN badcats.id is not null THEN 0 ELSE a.state END AS state,c.title AS category_title, c.path AS category_route, c.access AS category_access, c.alias AS category_alias,
  CASE WHEN a.created_by_alias > ' ' THEN a.created_by_alias ELSE ua.name END AS author,ua.email AS author_email,contact.id as contactid,parent.title as parent_title, parent.id as parent_id, parent.path as parent_route, parent.alias as parent_alias,ROUND(v.rating_sum / v.rating_count, 0) AS rating, v.rating_count as rating_count,c.published, 
  CASE WHEN badcats.id is null THEN c.published ELSE 0 END AS parents_published 
  FROM 5ox_content AS a 
  LEFT JOIN 5ox_content_frontpage AS fp 
  ON fp.content_id = a.id 
  LEFT JOIN 5ox_categories AS c 
  ON c.id = a.catid 
  LEFT JOIN 5ox_users AS ua 
  ON ua.id = a.created_by 
  LEFT JOIN 5ox_users AS uam 
  ON uam.id = a.modified_by 
  LEFT JOIN ( SELECT contact.user_id, MAX(contact.id) AS id, contact.language 
  FROM 5ox_contact_details AS contact1 × SELECT guest, client_id 
  FROM 5ox_session1 × SELECT `name`, `value` 
  FROM `5ox_jsn_imageshow_config`1 × SELECT folder AS type, element AS name, params 
  FROM 5ox_extensions1 × SELECT name,value 
  FROM 5ox_jsn_poweradmin_config1 × SELECT id, rules 
  FROM `5ox_viewlevels1 × SELECT b.id 
  FROM 5ox_usergroups AS a 
  LEFT JOIN 5ox_usergroups AS b 
  ON b.lft <= a.lft 
  AND b.rgt >= a.rgt1 × SELECT `session_id` 
  FROM `5ox_session`1 × SELECT COUNT(*) 
  FROM 5ox_extensions1 × SELECT m.id, m.menutype, m.title, m.alias, m.note, m.path AS route, m.link, m.type, m.level, m.language,`m`.`browserNav`, m.access, m.params, m.home, m.img, m.template_style_id, m.component_id, m.parent_id,e.element as component 
  FROM 5ox_menu AS m 
  LEFT JOIN 5ox_extensions AS e 
  ON m.component_id = e.extension_id1 × SELECT b.rules 
  FROM 5ox_assets AS a 
  LEFT JOIN 5ox_assets AS b 
  ON b.lft <= a.lft 
  AND b.rgt >= a.rgt1 × SELECT `data` 
  FROM `5ox_session`1 × SELECT a.rules 
  FROM 5ox_assets AS a1 × SELECT * 
  FROM 5ox_languages1 × SELECT id, home, template, s.params 
  FROM 5ox_template_styles as s 
  LEFT JOIN 5ox_extensions as e 
  ON e.element=s.template 
  AND e.type='template' 
  AND e.client_id=s.client_id1 × SELECT m.id, m.title, m.module, m.position, m.content, m.showtitle, m.params, mm.menuid 
  FROM 5ox_modules AS m 
  LEFT JOIN 5ox_modules_menu AS mm 
  ON mm.moduleid = m.id 
  LEFT JOIN 5ox_extensions AS e 
  ON e.element = m.module 
  AND e.client_id = m.client_id1 × SHOW FULL COLUMNS 
  FROM `5ox_imageshow_theme_slider1 × UPDATE `5ox_session` 
  SET `data` = '__default|a:9:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1761875925;s:18:\"session.timer.last\";i:1761875925;s:17:\"session.timer.now\";i:1761875925;s:24:\"session.client.forwarded\";s:10:\"10.2.47.14\";s:22:\"session.client.browser\";s:103:\"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)\";s:8:\"registry\";O:9:\"JRegistry\":1:{s:7:\"\\0\\0\\0data\";O:8:\"stdClass\":0:{}}s:4:\"user\";O:5:\"JUser\":24:{s:9:\"\\0\\0\\0isRoot\";b:0;s:2:\"id\";i:0;s:4:\"name\";N;s:8:\"username\";N;s:5:\"email\";N;s:8:\"password\";N;s:14:\"password_clear\";s:0:\"\";s:5:\"block\";N;s:9:\"sendEmail\";i:0;s:12:\"registerDate\";N;s:13:\"lastvisitDate\";N;s:10:\"activation\";N;s:6:\"params\";N;s:6:\"groups\";a:1:{i:0;s:1:\"9\";}s:5:\"guest\";i:1;s:13:\"lastResetTime\";N;s:10:\"resetCount\";N;s:10:\"\\0\\0\\0_params\";O:9:\"JRegistry\":1:{s:7:\"\\0\\0\\0data\";O:8:\"stdClass\":0:{}}s:14:\"\\0\\0\\0_authGroups\";a:2:{i:0;i:1;i:1;i:9;}s:14:\"\\0\\0\\0_authLevels\";a:3:{i:0;i:1;i:1;i:1;i:2;i:5;}s:15:\"\\0\\0\\0_authActions\";N;s:12:\"\\0\\0\\0_errorMsg\";N;s:10:\"\\0\\0\\0_errors\";a:0:{}s:3:\"aid\";i:0;}s:16:\"com_mailto.links\";a:5:{s:40:\"74d1a4e51e76d8e62a3665be5be5ff2631013a08\";O:8:\"stdClass\":2:{s:4:\"link\";s:120:\"http://www.pitetragono.gr/index.php/videomathimata/126-vid-glyk/vid-glyk-mathkat/voithima-g-lykeiou-pros/302-2019-20-pdf\";s:6:\"expiry\";i:1761875926;}s:40:\"dddf301ea4ab4fe275904394f890964c513f5d54\";O:8:\"stdClass\":2:{s:4:\"link\";s:74:\"http://www.pitetragono.gr/index.php/proapaitoumena/140-2013-09-03-10-33-08\";s:6:\"expiry\";i:1761875926;}s:40:\"7998752be194e7e799dcf53e8e714d67910f918e\";O:8:\"stdClass\":2:{s:4:\"link\";s:71:\"http://www.pitetragono.gr/index.php/proapaitoumena/83-proapaitoumenes-b\";s:6:\"expiry\";i:1761875926;}s:40:\"1287f782a0020c2e2ae3d468faaffcda0d13869d\";O:8:\"stdClass\":2:{s:4:\"link\";s:73:\"http://www.pitetragono.gr/index.php/proapaitoumena/75-2013-06-13-13-56-49\";s:6:\"expiry\";i:1761875926;}s:40:\"602b3f7ee083c65ba88c77d81d35cb0f8c9482e3\";O:8:\"stdClass\":2:{s:4:\"link\";s:98:\"http://www.pitetragono.gr/index.php/videomathimata/124-vid-alyk/voithima-algebra-a-lykeiou/234-pdf\";s:6:\"expiry\";i:1761875926;}}}'  , `time` = '1761875926'1 × UPDATE 5ox_extensions 
  SET enabled = 11 × SHOW FULL COLUMNS 
  FROM `5ox_imageshow_showlist1 × INSERT INTO `5ox_session` (`session_id`, `client_id`, `time`) 
  VALUES  ('iasgl9v2ehrdobm5glnlei8944', 0, '1761875925'1 × SHOW TABLE1 × DELETE  
  FROM `5ox_session`
