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Страница 119 - гдз по геометрии 7 класс учебник Смирнов, Туяков
Авторы: Смирнов В. А., Туяков Е. А.
Тип: Учебник
Издательство: Мектеп
Год издания: 2017 - 2026
ISBN: 978-601-07-0873-0
Утверждено Министерством образования и науки Республики Казахстан
Популярные ГДЗ в 7 классе
Cтраница 119
App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1114436 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-119" "field_display_title" => "119" "field_folder" => "1" "field_image_name" => "119" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016 #items: array:1 [ 0 => App\Models\Book {#1015 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:50 [ "id" => 2907 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1020 #items: array:1 [ 0 => App\Models\Term {#1017 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6477 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Геометрия" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "геометрию" "field_creative_case" => "геометрией" "field_dative_case" => "геометрии" "field_genitive_case" => "геометрии" "field_nominative_case" => "геометрия" "field_prepositional_case" => "геометрии" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "geometrija" ] #original: array:10 [ "id" => 6477 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Геометрия" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "геометрию" "field_creative_case" => "геометрией" "field_dative_case" => "геометрии" "field_genitive_case" => "геометрии" …2 ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "geometrija" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1022 #items: array:1 [ 0 => App\Models\Term {#1019 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5456 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "7" "field_cases" => array:6 [ …6] "field_translit" => "sedmoj" ] #original: array:6 [ "id" => 5456 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "7" "field_cases" => array:6 [ …6] "field_translit" => "sedmoj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1024 #items: array:1 [ 0 => App\Models\Term {#1021 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 6996 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мектеп" "field_cases" => array:6 [ …6] "field_translit" => "mektep" ] #original: array:6 [ "id" => 6996 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мектеп" "field_cases" => array:6 [ …6] "field_translit" => "mektep" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1018 #items: array:2 [ 0 => App\Models\Term {#1023 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5801 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Смирнов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Владимир" "field_patronymic" => "Алексеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5801 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Смирнов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Владимир" "field_patronymic" => "Алексеевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1025 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 7017 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Туяков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Есенкельды" "field_patronymic" => "Алыбаевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 7017 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Туяков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Есенкельды" "field_patronymic" => "Алыбаевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1027 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1030 #items: array:1 [ 0 => App\Models\Term {#1026 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ …6] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ …6] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1032 #items: array:1 [ 0 => App\Models\Term {#1029 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 6994 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Казахстан" "field_cases" => array:6 [ …6] "field_translit" => "kazakhstan" ] #original: array:6 [ "id" => 6994 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Казахстан" "field_cases" => array:6 [ …6] "field_translit" => "kazakhstan" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1034 #items: array:1 [ 0 => App\Models\Term {#1031 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 6995 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алматы" "field_cases" => array:6 [ …6] "field_translit" => "almaty" ] #original: array:6 [ "id" => 6995 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алматы" "field_cases" => array:6 [ …6] "field_translit" => "almaty" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1033 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1028 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1036 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1037 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1038 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2017" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для 7 класса общеобразовательной школы" "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан" "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "528" "field_priority" => "2" "field_default_folder" => "/geometrija_07/Smirnova-u17/" "field_isbn" => "978-601-07-0873-0" "field_cover" => array:1 [ 0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592" "alt" => "" "width" => "1632" "height" => "2472" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1039 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1040 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1041 #items: [] #escapeWhenCastingToString: false } "field_url" => "/7-klass/geometrija/smirnova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1042 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 378 "subject" => 543 "class_subject" => 389 ] ] #original: array:50 [ "id" => 2907 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1020} "field_class" => Illuminate\Database\Eloquent\Collection {#1022} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1024} "field_author" => Illuminate\Database\Eloquent\Collection {#1018} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1027} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1030} "field_country" => Illuminate\Database\Eloquent\Collection {#1032} "field_city" => Illuminate\Database\Eloquent\Collection {#1034} "field_series" => Illuminate\Database\Eloquent\Collection {#1033} "field_umk" => Illuminate\Database\Eloquent\Collection {#1028} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1035} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1036} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1037} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1038} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2017" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для 7 класса общеобразовательной школы" "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан" "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "528" "field_priority" => "2" "field_default_folder" => "/geometrija_07/Smirnova-u17/" "field_isbn" => "978-601-07-0873-0" "field_cover" => array:1 [ 0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592" "alt" => "" "width" => "1632" "height" => "2472" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1039} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1040} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1041} "field_url" => "/7-klass/geometrija/smirnova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1042} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 378 "subject" => 543 "class_subject" => 389 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Element {#1045 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1290623 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1055 #items: array:1 [ 0 => App\Models\Edition {#1047 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 5009 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1049 …2} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1050 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1051 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1052 …2} "field_content_source" => null ] #original: array:21 [ "id" => 5009 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1049 …2} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1050 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1051 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1052 …2} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "119-1.jpg" "alt" => null "width" => "1936" "height" => 2838 "path" => "/media/geometrija_07/Smirnova-u17/0-1/119-1.webp?ts=1753260190" ] ] ] #original: array:6 [ "id" => 1290623 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1055} "book_page" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "119-1.jpg" "alt" => null "width" => "1936" "height" => 2838 "path" => "/media/geometrija_07/Smirnova-u17/0-1/119-1.webp?ts=1753260190" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => Illuminate\Database\Eloquent\Collection {#5259 #items: array:1 [ 0 => App\Models\BookPage {#5260 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1114437 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-120" "field_display_title" => "120" "field_folder" => "1" "field_image_name" => "120" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5274 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5273 #items: array:1 [ 0 => App\Models\Book {#1015} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#5272 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#5383 #items: array:1 [ 0 => App\Models\Element {#5365 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1290624 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#5385 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1290624 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#5385 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1114438" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#5455 #items: array:5 [ 0 => App\Models\Task {#5467 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129858 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_page_end" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-21" "field_display_title" => "Задания" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#5468 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5469 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5470 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5471 …2} "content" => Illuminate\Database\Eloquent\Collection {#5472 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5473 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129858 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_page_end" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-21" "field_display_title" => "Задания" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#5468 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5469 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5470 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5471 …2} "content" => Illuminate\Database\Eloquent\Collection {#5472 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5473 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#5474 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129859 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-21" "field_display_title" => "Вопросы" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5475 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5476 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5477 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5478 …2} "content" => Illuminate\Database\Eloquent\Collection {#5481 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5487 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129859 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-21" "field_display_title" => "Вопросы" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5475 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5476 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5477 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5478 …2} "content" => Illuminate\Database\Eloquent\Collection {#5481 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5487 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#5480 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129860 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-1" "field_display_title" => "21.1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5479 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5486 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5488 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5484 …2} "content" => Illuminate\Database\Eloquent\Collection {#5483 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5501 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129860 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-1" "field_display_title" => "21.1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5479 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5486 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5488 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5484 …2} "content" => Illuminate\Database\Eloquent\Collection {#5483 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5501 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#5485 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129861 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-2" "field_display_title" => "21.2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5482 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5500 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5502 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5498 …2} "content" => Illuminate\Database\Eloquent\Collection {#5497 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5515 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129861 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-2" "field_display_title" => "21.2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5482 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5500 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5502 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5498 …2} "content" => Illuminate\Database\Eloquent\Collection {#5497 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5515 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#5499 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129862 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-3" "field_display_title" => "21.3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5496 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5514 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5516 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5512 …2} "content" => Illuminate\Database\Eloquent\Collection {#5511 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5529 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129862 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/21-3" "field_display_title" => "21.3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5496 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5514 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5516 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5512 …2} "content" => Illuminate\Database\Eloquent\Collection {#5511 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5529 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1114437 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-120" "field_display_title" => "120" "field_folder" => "1" "field_image_name" => "120" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5274} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5273} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#5272} "content" => Illuminate\Database\Eloquent\Collection {#5383} "next" => array:2 [ "refs" => "1114438" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#5455} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "previous" => Illuminate\Database\Eloquent\Collection {#5254 #items: array:1 [ 0 => App\Models\BookPage {#5253 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1114435 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-118" "field_display_title" => "118" "field_folder" => "1" "field_image_name" => "118" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5255 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5256 #items: array:1 [ 0 => App\Models\Book {#1015} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#5257 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#5267 #items: array:1 [ 0 => App\Models\Element {#5266 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1290622 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#5268 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1290622 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#5268 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114434" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#5258 #items: array:7 [ 0 => App\Models\Task {#5277 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129851 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-13" "field_display_title" => "20.13" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5281 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5280 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5279 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5316 …2} "content" => Illuminate\Database\Eloquent\Collection {#5313 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5309 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129851 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-13" "field_display_title" => "20.13" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5281 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5280 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5279 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5316 …2} "content" => Illuminate\Database\Eloquent\Collection {#5313 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5309 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#5282 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129852 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-14" "field_display_title" => "20.14" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5321 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5310 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5308 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5312 …2} "content" => Illuminate\Database\Eloquent\Collection {#5286 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5293 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129852 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-14" "field_display_title" => "20.14" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5321 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5310 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5308 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5312 …2} "content" => Illuminate\Database\Eloquent\Collection {#5286 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5293 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#5311 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129853 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-15" "field_display_title" => "20.15" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5285 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5296 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5295 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5297 …2} "content" => Illuminate\Database\Eloquent\Collection {#5300 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5319 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129853 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-15" "field_display_title" => "20.15" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5285 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5296 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5295 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5297 …2} "content" => Illuminate\Database\Eloquent\Collection {#5300 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5319 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#5298 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129854 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-16" "field_display_title" => "20.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5299 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5323 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5317 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5315 …2} "content" => Illuminate\Database\Eloquent\Collection {#5283 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5342 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129854 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-16" "field_display_title" => "20.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5299 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5323 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5317 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5315 …2} "content" => Illuminate\Database\Eloquent\Collection {#5283 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5342 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#5314 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129855 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-17" "field_display_title" => "20.17" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5284 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5341 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5343 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5339 …2} "content" => Illuminate\Database\Eloquent\Collection {#5338 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5356 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129855 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-17" "field_display_title" => "20.17" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5284 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5341 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5343 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5339 …2} "content" => Illuminate\Database\Eloquent\Collection {#5338 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5356 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 5 => App\Models\Task {#5340 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129856 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-18" "field_display_title" => "20.18" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5337 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5355 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5357 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5353 …2} "content" => Illuminate\Database\Eloquent\Collection {#5352 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5370 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129856 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-18" "field_display_title" => "20.18" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5337 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5355 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5357 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5353 …2} "content" => Illuminate\Database\Eloquent\Collection {#5352 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5370 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 6 => App\Models\Task {#5354 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129857 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-19" "field_display_title" => "20.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5351 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5369 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5371 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5367 …2} "content" => Illuminate\Database\Eloquent\Collection {#5366 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5384 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129857 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/20-19" "field_display_title" => "20.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#5351 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#5369 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5371 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#5367 …2} "content" => Illuminate\Database\Eloquent\Collection {#5366 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#5384 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1114435 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "118" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-118" "field_display_title" => "118" "field_folder" => "1" "field_image_name" => "118" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5255} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5256} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#5257} "content" => Illuminate\Database\Eloquent\Collection {#5267} "next" => array:2 [ "refs" => "1114436" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114434" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#5258} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "tasks" => Illuminate\Database\Eloquent\Collection {#1056 #items: array:1 [ 0 => App\Models\Task {#1054 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129858 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_page_end" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-21" "field_display_title" => "Задания" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1058 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Branch {#1067 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129379 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Окружность. Геометрические построения" "field_branch_order" => "4" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1072 …2} "field_page_start" => "101" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1071 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070 …2} ] #original: array:24 [ "id" => 1129379 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Окружность. Геометрические построения" "field_branch_order" => "4" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1072 …2} "field_page_start" => "101" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1071 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070 …2} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1100 #items: array:2 [ 0 => App\Models\Branch {#1108 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129379 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Окружность. Геометрические построения" "field_branch_order" => "4" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1109 …2} "field_page_start" => "101" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1110 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1111 …2} ] #original: array:24 [ "id" => 1129379 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Окружность. Геометрические построения" "field_branch_order" => "4" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1109 …2} "field_page_start" => "101" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1110 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1111 …2} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1112 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1129383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Геометрические места точек" "field_branch_order" => "21" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1116 …2} "field_page_start" => "118" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1115 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1114 …2} ] #original: array:24 [ "id" => 1129383 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Геометрические места точек" "field_branch_order" => "21" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1116 …2} "field_page_start" => "118" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1115 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1114 …2} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1097 #items: array:3 [ 0 => App\Models\Element {#1090 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1320136 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1089 …2} "task" => array:2 [ …2] "text" => "<p><strong>Изобразите отрезок и серединный перпендикуляр к этому отрезку.</strong></p><p><strong>Изобразите угол и биссектрису этого угла.</strong></p>" "img" => array:2 [ …2] ] #original: array:7 [ "id" => 1320136 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1089 …2} "task" => array:2 [ …2] "text" => "<p><strong>Изобразите отрезок и серединный перпендикуляр к этому отрезку.</strong></p><p><strong>Изобразите угол и биссектрису этого угла.</strong></p>" "img" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1088 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1320498 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1077 …2} "task" => array:2 [ …2] "img" => array:2 [ …2] ] #original: array:6 [ "id" => 1320498 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1077 …2} "task" => array:2 [ …2] "img" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Element {#1082 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1541760 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1063 …2} "task" => array:2 [ …2] "text" => "<p><strong>Изобразите отрезок и серединный перпендикуляр к этому отрезку.</strong></p><p>Отрезок — это часть прямой, ограниченная двумя точками (концами отрезка). Пусть у нас есть отрезок $AB$.</p><p>Серединный перпендикуляр к отрезку — это прямая, которая удовлетворяет двум условиям:</p><p><strong>1.</strong> Она перпендикулярна данному отрезку, то есть образует с ним прямой угол ($90^\circ$).</p><p><strong>2.</strong> Она проходит через середину данного отрезка, то есть делит его на две равные части.</p><p>На рисунке ниже изображен отрезок $AB$. Точка $M$ является его серединой, поэтому $AM = MB$. Прямая $p$ проходит через точку $M$ и перпендикулярна отрезку $AB$ ($p \perp AB$). Следовательно, прямая $p$ является серединным перпендикуляром к отрезку $AB$.</p><svg width="250" height="180" viewBox="0 0 250 180" xmlns="http://www.w3.org/2000/svg"><line x1="40" y1="90" x2="210" y2="90" stroke="black" stroke-width="2" /><text x="30" y="85" font-family="sans-serif" font-size="16">A</text><text x="215" y="85" font-family="sans-serif" font-size="16">B</text><line x1="125" y1="20" x2="125" y2="160" stroke="#0000FF" stroke-width="2" /><text x="130" y="30" font-family="sans-serif" font-size="16" fill="#0000FF">p</text><circle cx="125" cy="90" r="3" fill="black" /><text x="115" y="110" font-family="sans-serif" font-size="16">M</text><path d="M 125 80 L 135 80 L 135 90" stroke="black" stroke-width="1" fill="none" /><line x1="80" y1="85" x2="80" y2="95" stroke="black" stroke-width="2" /><line x1="170" y1="85" x2="170" y2="95" stroke="black" stroke-width="2" /></svg><p>Ответ: Изображение отрезка и его серединного перпендикуляра представлено на рисунке выше.</p><p><strong>Изобразите угол и биссектрису этого угла.</strong></p><p>Угол — это геометрическая фигура, образованная двумя лучами (сторонами угла), выходящими из одной точки (вершины угла). Обозначим угол как $\angle AOB$, где $O$ — вершина.</p><p>Биссектриса угла — это луч, который выходит из вершины угла и делит его на два равных по величине угла.</p><p>На рисунке ниже изображен угол $\angle AOB$. Луч $OC$ выходит из вершины $O$ и делит угол $\angle AOB$ на два равных угла: $\angle AOC$ и $\angle COB$. Таким образом, луч $OC$ является биссектрисой угла $\angle AOB$, и выполняется равенство $\angle AOC = \angle COB$. Равенство углов на рисунке показано одинаковыми дугами.</p><svg width="250" height="160" viewBox="0 0 250 160" xmlns="http://www.w3.org/2000/svg"><line x1="50" y1="80" x2="200" y2="30" stroke="black" stroke-width="2" /><text x="205" y="30" font-family="sans-serif" font-size="16">A</text><line x1="50" y1="80" x2="200" y2="130" stroke="black" stroke-width="2" /><text x="205" y="135" font-family="sans-serif" font-size="16">B</text><line x1="50" y1="80" x2="210" y2="80" stroke="#FF0000" stroke-width="2" stroke-dasharray="5,3" /><text x="215" y="85" font-family="sans-serif" font-size="16" fill="#FF0000">C</text><circle cx="50" cy="80" r="3" fill="black" /><text x="35" y="80" font-family="sans-serif" font-size="16">O</text><path d="M 89.28 65.2 A 40 40 0 0 1 90 80" stroke="black" stroke-width="1.5" fill="none" /><path d="M 90 80 A 40 40 0 0 1 89.28 94.8" stroke="black" stroke-width="1.5" fill="none" /></svg><p>Ответ: Изображение угла и его биссектрисы представлено на рисунке выше.</p>" ] #original: array:6 [ "id" => 1541760 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1063 …2} "task" => array:2 [ …2] "text" => "<p><strong>Изобразите отрезок и серединный перпендикуляр к этому отрезку.</strong></p><p>Отрезок — это часть прямой, ограниченная двумя точками (концами отрезка). Пусть у нас есть отрезок $AB$.</p><p>Серединный перпендикуляр к отрезку — это прямая, которая удовлетворяет двум условиям:</p><p><strong>1.</strong> Она перпендикулярна данному отрезку, то есть образует с ним прямой угол ($90^\circ$).</p><p><strong>2.</strong> Она проходит через середину данного отрезка, то есть делит его на две равные части.</p><p>На рисунке ниже изображен отрезок $AB$. Точка $M$ является его серединой, поэтому $AM = MB$. Прямая $p$ проходит через точку $M$ и перпендикулярна отрезку $AB$ ($p \perp AB$). Следовательно, прямая $p$ является серединным перпендикуляром к отрезку $AB$.</p><svg width="250" height="180" viewBox="0 0 250 180" xmlns="http://www.w3.org/2000/svg"><line x1="40" y1="90" x2="210" y2="90" stroke="black" stroke-width="2" /><text x="30" y="85" font-family="sans-serif" font-size="16">A</text><text x="215" y="85" font-family="sans-serif" font-size="16">B</text><line x1="125" y1="20" x2="125" y2="160" stroke="#0000FF" stroke-width="2" /><text x="130" y="30" font-family="sans-serif" font-size="16" fill="#0000FF">p</text><circle cx="125" cy="90" r="3" fill="black" /><text x="115" y="110" font-family="sans-serif" font-size="16">M</text><path d="M 125 80 L 135 80 L 135 90" stroke="black" stroke-width="1" fill="none" /><line x1="80" y1="85" x2="80" y2="95" stroke="black" stroke-width="2" /><line x1="170" y1="85" x2="170" y2="95" stroke="black" stroke-width="2" /></svg><p>Ответ: Изображение отрезка и его серединного перпендикуляра представлено на рисунке выше.</p><p><strong>Изобразите угол и биссектрису этого угла.</strong></p><p>Угол — это геометрическая фигура, образованная двумя лучами (сторонами угла), выходящими из одной точки (вершины угла). Обозначим угол как $\angle AOB$, где $O$ — вершина.</p><p>Биссектриса угла — это луч, который выходит из вершины угла и делит его на два равных по величине угла.</p><p>На рисунке ниже изображен угол $\angle AOB$. Луч $OC$ выходит из вершины $O$ и делит угол $\angle AOB$ на два равных угла: $\angle AOC$ и $\angle COB$. Таким образом, луч $OC$ является биссектрисой угла $\angle AOB$, и выполняется равенство $\angle AOC = \angle COB$. Равенство углов на рисунке показано одинаковыми дугами.</p><svg width="250" height="160" viewBox="0 0 250 160" xmlns="http://www.w3.org/2000/svg"><line x1="50" y1="80" x2="200" y2="30" stroke="black" stroke-width="2" /><text x="205" y="30" font-family="sans-serif" font-size="16">A</text><line x1="50" y1="80" x2="200" y2="130" stroke="black" stroke-width="2" /><text x="205" y="135" font-family="sans-serif" font-size="16">B</text><line x1="50" y1="80" x2="210" y2="80" stroke="#FF0000" stroke-width="2" stroke-dasharray="5,3" /><text x="215" y="85" font-family="sans-serif" font-size="16" fill="#FF0000">C</text><circle cx="50" cy="80" r="3" fill="black" /><text x="35" y="80" font-family="sans-serif" font-size="16">O</text><path d="M 89.28 65.2 A 40 40 0 0 1 90 80" stroke="black" stroke-width="1.5" fill="none" /><path d="M 90 80 A 40 40 0 0 1 89.28 94.8" stroke="black" stroke-width="1.5" fill="none" /></svg><p>Ответ: Изображение угла и его биссектрисы представлено на рисунке выше.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1129859" "type" => "task" ] "previous" => array:2 [ "refs" => "1129857" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1093 #items: array:1 [ 0 => App\Models\Book {#1015} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1114436" "type" => "book_page" ] ] #original: array:24 [ "id" => 1129858 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_page_end" => "120" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-21" "field_display_title" => "Задания" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1057} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1058} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1068} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1100} "content" => Illuminate\Database\Eloquent\Collection {#1097} "next" => array:2 [ "refs" => "1129859" "type" => "task" ] "previous" => array:2 [ "refs" => "1129857" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1093} "page" => array:2 [ "refs" => "1114436" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1114436 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "119" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-119" "field_display_title" => "119" "field_folder" => "1" "field_image_name" => "119" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007} "content" => Illuminate\Database\Eloquent\Collection {#1046} "next" => array:2 [ "refs" => "1114437" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114435" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1056} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] }
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