www.pitetragono.gr: TO ON-LINE ΜΑΘΗΜΑΤΙΚΟ ΒΟΗΘΗΜΑ
ΕΔΩ ΘΑ ΒΡΕΙΤΕ ΜΕΘΟΔΟΛΟΓΙΕΣ ΚΑΙ ΛΥΜΕΝΑ ΠΑΡΑΔΕΙΓΜΑΤΑ ΓΙΑ
ΤΟ 3ο ΚΕΦΑΛΑΙΟ ΤΗΣ ΑΛΓΕΒΡΑΣ Β' ΛΥΚΕΙΟΥ
ΚΕΦΑΛΑΙΟ 3 : ΤΡΙΓΩΝΟΜΕΤΡΙΑ -
ΓΙΑ ΝΑ ΑΝΟΙΞΕΤΕ ΤΟ ΑΡΧΕΙΟ ΠΑΤΗΣΤΕ ΕΔΩ
© pitetragono.gr 2013 - Το pitetragono.gr αποτελεί πνευματική ιδιοκτησία του Παύλου Παλαιολόγου.
Application 0.000 seconds (+0.000); 0.71 MB (+0.710) - afterLoad
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Application 0.078 seconds (+0.002); 6.96 MB (-0.003) - afterRoute
Application 0.112 seconds (+0.034); 9.51 MB (+2.544) - afterDispatch
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Application 0.127 seconds (+0.000); 10.34 MB (-0.007) - beforeRenderModule mod_menu (Μαθήματα)
Application 0.132 seconds (+0.005); 10.37 MB (+0.031) - afterRenderModule mod_menu (Μαθήματα)
Application 0.132 seconds (+0.000); 10.36 MB (-0.010) - beforeRenderModule mod_imageshow (P - JSN imageshow Side)
Application 0.144 seconds (+0.013); 11.15 MB (+0.791) - afterRenderModule mod_imageshow (P - JSN imageshow Side)
Application 0.144 seconds (+0.000); 11.15 MB (+0.002) - beforeRenderModule mod_menu (Δείτε επίσης)
Application 0.148 seconds (+0.003); 11.18 MB (+0.029) - afterRenderModule mod_menu (Δείτε επίσης)
Application 0.148 seconds (+0.000); 11.17 MB (-0.009) - beforeRenderModule mod_breadcrumbs (Breadcrumbs)
Application 0.149 seconds (+0.002); 11.20 MB (+0.030) - afterRenderModule mod_breadcrumbs (Breadcrumbs)
Application 0.150 seconds (+0.000); 11.20 MB (-0.009) - beforeRenderModule mod_custom (P - Text Right Promo)
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Application 0.151 seconds (+0.000); 11.20 MB (-0.003) - beforeRenderModule mod_custom (P - Static Logo)
Application 0.151 seconds (+0.001); 11.20 MB (+0.006) - afterRenderModule mod_custom (P - Static Logo)
Application 0.151 seconds (+0.000); 11.20 MB (-0.002) - beforeRenderModule mod_menu (Main Menu)
Application 0.160 seconds (+0.009); 11.25 MB (+0.052) - afterRenderModule mod_menu (Main Menu)
Application 0.160 seconds (+0.000); 11.25 MB (-0.009) - beforeRenderModule mod_custom (P - Text Box Top Center)
Application 0.161 seconds (+0.001); 11.25 MB (+0.006) - afterRenderModule mod_custom (P - Text Box Top Center)
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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
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SELECT c.id, c.asset_id, c.access, c.alias, c.checked_out, c.checked_out_time,
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c.lft, c.metadata, c.metadesc, c.metakey, c.modified_time, c.note, c.params, c.parent_id,
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CASE WHEN CHAR_LENGTH(c.alias) != 0 THEN CONCAT_WS(':', c.id, c.alias) ELSE c.id END as slug
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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
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SELECT alias, catid
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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
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ON cat.lft BETWEEN parent.lft
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ON badcats.id = c.id
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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
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SELECT alias, catid
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SELECT alias
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WHERE (a.name = 'com_content')
GROUP BY b.id, b.rules, b.lft
ORDER BY b.lft
SELECT a.id, a.asset_id, a.title, a.alias, a.introtext, a.fulltext,
CASE WHEN badcats.id is null THEN a.state ELSE 0 END AS state, 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, a.checked_out, a.checked_out_time, a.publish_up, a.publish_down, a.images, a.urls, a.attribs, a.version, a.ordering, a.metakey, a.metadesc, a.access, a.hits, a.metadata, a.featured, a.language, a.xreference,c.title AS category_title, c.alias AS category_alias, c.access AS category_access,u.name AS author,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
FROM 5ox_content AS a
LEFT JOIN 5ox_categories AS c
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LEFT JOIN 5ox_users AS u
on u.id = a.created_by
LEFT JOIN (
SELECT contact.user_id, MAX(contact.id) AS id, contact.language
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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
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AND (a.state = 1 OR a.state =2)
SELECT extension_id AS id, element AS "option", params, enabled
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AND `element` = 'com_tags'
SELECT `m`.`tag_id`,`t`.*
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INNER JOIN `5ox_tags` AS t
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WHERE `m`.`type_alias` = 'com_content.article'
AND `m`.`content_item_id` = 166
AND `t`.`published` = 1
AND t.access IN (1,1,5)
SELECT `name`, `value`
FROM `5ox_jsn_imageshow_config`
WHERE `name` IN ('show_quick_icons', 'enable_update_checking', 'number_of_images_on_loading')
SELECT *
FROM 5ox_extensions
WHERE element='com_imageshow'
AND type='component'
SELECT extension_id AS id, element AS "option", params, enabled
FROM 5ox_extensions
WHERE `type` = 'component'
AND `element` = 'com_imageshow'
UPDATE 5ox_content
SET hits = hits + 1
WHERE id = 166
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_id
WHERE m.published = 1
AND e.enabled = 1
AND (m.publish_up = '0000-00-00 00:00:00' OR m.publish_up <= '2025-10-13 15:56:08')
AND (m.publish_down = '0000-00-00 00:00:00' OR m.publish_down >= '2025-10-13 15:56:08')
AND m.access IN (1,1,5)
AND m.client_id = 0
AND (mm.menuid = 396 OR mm.menuid <= 0)
ORDER BY m.position, m.ordering
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 < 0
AND mm.menuid = -396)
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 = 396 OR mm.menuid = 0 OR (mm.menuid < 0
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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.id
SELECT assets
FROM 5ox_jsn_poweradmin_menu_assets
WHERE type='css'
AND menuId='396'
SELECT assets
FROM 5ox_jsn_poweradmin_menu_assets
WHERE type='js'
AND menuId='396'
SELECT *
FROM 5ox_extensions
WHERE element='com_imageshow'
AND type='component'
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 192
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=6
SELECT *
FROM 5ox_imageshow_showlist
WHERE published = 1
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SELECT *
FROM 5ox_imageshow_showcase
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AND showcase_id = 1
SELECT *
FROM 5ox_imageshow_theme_profile
WHERE showcase_id =1
SHOW 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 = 0
SELECT *
FROM 5ox_extensions
WHERE element LIKE 'source%'
AND folder = 'jsnimageshow'
AND enabled = 1
SELECT album_extid
FROM 5ox_imageshow_images
WHERE showlist_id =6
AND sync = 1
GROUP BY album_extid
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_images
WHERE showlist_id =6
ORDER BY ordering ASC
SELECT *
FROM 5ox_extensions
WHERE folder = 'jsnimageshow'
AND element='themeslider'
SELECT *
FROM 5ox_imageshow_showlist
WHERE published = 1
AND showlist_id = 6
SELECT *
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_extid
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_images
WHERE showlist_id =6
ORDER BY ordering ASC
SELECT *
FROM 5ox_imageshow_showlist
WHERE published = 1
AND showlist_id = 6
SHOW FULL COLUMNS
FROM `5ox_imageshow_theme_slider`
SELECT *
FROM 5ox_imageshow_theme_slider
WHERE `theme_id` = '1'
SELECT *
FROM 5ox_extensions
WHERE element='com_imageshow'
AND type='component'
SELECT *
FROM 5ox_extensions
WHERE element='com_imageshow'
AND type='component'
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 183 OR id = 184
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 183 OR id = 185
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 183 OR id = 464
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 191
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 190 OR id = 192
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 193 OR id = 372
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 194 OR id = 374
SELECT lft, rgt
FROM 5ox_menu
WHERE id = 194 OR id = 375
SELECT *
FROM 5ox_extensions
WHERE element='com_imageshow'
AND type='component'
UPDATE `5ox_session`
SET `data` = '__default|a:8:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1760370968;s:18:\"session.timer.last\";i:1760370968;s:17:\"session.timer.now\";i:1760370968;s:24:\"session.client.forwarded\";s:10:\"10.3.58.23\";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;}}'
, `time` = '1760370968'
WHERE `session_id` = 'gkd8s0tqorpee0pppnn6olkfs6'
15 × SELECT lft, rgt
FROM 5ox_menu
7 × SELECT *
FROM 5ox_extensions
6 × SELECT *
FROM 5ox_imageshow_showlist
5 × SELECT extension_id AS id, element AS "option", params, enabled
FROM 5ox_extensions
4 × SELECT alias, catid
FROM 5ox_content
2 × SELECT assets
FROM 5ox_jsn_poweradmin_menu_assets
2 × SELECT album_extid
FROM 5ox_imageshow_images
2 × SELECT alias
FROM 5ox_content
2 × 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
2 × SELECT m.id
FROM 5ox_modules AS m
INNER JOIN 5ox_modules_menu AS mm
ON mm.moduleid = m.id
2 × 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_images
1 × SELECT *
FROM 5ox_imageshow_theme_slider
1 × 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_id
1 × SELECT c.introtext, c.fulltext
FROM 5ox_imageshow_showlist sl
INNER JOIN 5ox_content c
ON sl.alter_autid = c.id
1 × SELECT *
FROM 5ox_imageshow_theme_profile
1 × SELECT *
FROM 5ox_imageshow_showcase
1 × SELECT `name`, `value`
FROM `5ox_jsn_imageshow_config`
1 × SELECT *
FROM 5ox_extensions
1 × SELECT b.rules
FROM 5ox_assets AS a
LEFT JOIN 5ox_assets AS b
ON b.lft <= a.lft
AND b.rgt >= a.rgt
1 × SELECT folder AS type, element AS name, params
FROM 5ox_extensions
1 × SELECT name,value
FROM 5ox_jsn_poweradmin_config
1 × SELECT id, rules
FROM `5ox_viewlevels
1 × SELECT b.id
FROM 5ox_usergroups AS a
LEFT JOIN 5ox_usergroups AS b
ON b.lft <= a.lft
AND b.rgt >= a.rgt
1 × SELECT `session_id`
FROM `5ox_session`
1 × SELECT COUNT(*)
FROM 5ox_extensions
1 × 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_id
1 × SELECT `data`
FROM `5ox_session`
1 × SELECT a.id, a.asset_id, a.title, a.alias, a.introtext, a.fulltext,
CASE WHEN badcats.id is null THEN a.state ELSE 0 END AS state, 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, a.checked_out, a.checked_out_time, a.publish_up, a.publish_down, a.images, a.urls, a.attribs, a.version, a.ordering, a.metakey, a.metadesc, a.access, a.hits, a.metadata, a.featured, a.language, a.xreference,c.title AS category_title, c.alias AS category_alias, c.access AS category_access,u.name AS author,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
FROM 5ox_content AS a
LEFT JOIN 5ox_categories AS c
on c.id = a.catid
LEFT JOIN 5ox_users AS u
on u.id = a.created_by
LEFT JOIN ( SELECT contact.user_id, MAX(contact.id) AS id, contact.language
FROM 5ox_contact_details AS contact
1 × SELECT a.rules
FROM 5ox_assets AS a
1 × SELECT *
FROM 5ox_languages
1 × 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_id
1 × SELECT `m`.`tag_id`,`t`.*
FROM `5ox_contentitem_tag_map` AS m
INNER JOIN `5ox_tags` AS t
ON `m`.`tag_id` = `t`.`id`
1 × SHOW FULL COLUMNS
FROM `5ox_imageshow_theme_slider
1 × UPDATE `5ox_session`
SET `data` = '__default|a:8:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1760370968;s:18:\"session.timer.last\";i:1760370968;s:17:\"session.timer.now\";i:1760370968;s:24:\"session.client.forwarded\";s:10:\"10.3.58.23\";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;}}' , `time` = '1760370968'
1 × UPDATE 5ox_extensions
SET enabled = 1
1 × SHOW FULL COLUMNS
FROM `5ox_imageshow_showlist
1 × SHOW TABLE
1 × UPDATE 5ox_content
SET hits = hits + 1
1 × INSERT INTO `5ox_session` (`session_id`, `client_id`, `time`)
VALUES ('gkd8s0tqorpee0pppnn6olkfs6', 0, '1760370968'