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Страница 16 - 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 16
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" => 1114333 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "16" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-16" "field_display_title" => "16" "field_folder" => "1" "field_image_name" => "16" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036 #items: array:1 [ 0 => App\Models\Book {#1006 #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 {#1009 #items: array:1 [ 0 => App\Models\Term {#1007 #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" "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" ] #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 {#1010 #items: array:1 [ 0 => App\Models\Term {#1011 #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 [ "field_accusative_case" => "седьмой" "field_creative_case" => "седьмым" "field_dative_case" => "седьмому" "field_genitive_case" => "седьмого" "field_nominative_case" => "седьмой" "field_prepositional_case" => "седьмом" ] "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 [ "field_accusative_case" => "седьмой" "field_creative_case" => "седьмым" "field_dative_case" => "седьмому" "field_genitive_case" => "седьмого" "field_nominative_case" => "седьмой" "field_prepositional_case" => "седьмом" ] "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 {#1012 #items: array:1 [ 0 => App\Models\Term {#1013 #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 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 {#1014 #items: array:2 [ 0 => App\Models\Term {#1015 #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 {#1016 #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 {#1017 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018 #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: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 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "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 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "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 {#1020 #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" => 6994 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Казахстан" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 {#1022 #items: array:1 [ 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:6 [ "id" => 6995 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алматы" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "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 {#1024 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1025 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029 #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 {#1030 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1032 #items: [] #escapeWhenCastingToString: false } "field_url" => "/7-klass/geometrija/smirnova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033 #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 {#1009} "field_class" => Illuminate\Database\Eloquent\Collection {#1010} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012} "field_author" => Illuminate\Database\Eloquent\Collection {#1014} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018} "field_country" => Illuminate\Database\Eloquent\Collection {#1020} "field_city" => Illuminate\Database\Eloquent\Collection {#1022} "field_series" => Illuminate\Database\Eloquent\Collection {#1024} "field_umk" => Illuminate\Database\Eloquent\Collection {#1025} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029} "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 {#1030} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1032} "field_url" => "/7-klass/geometrija/smirnova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033} "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 {#1034 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1045 #items: array:1 [ 0 => App\Models\Element {#1044 #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" => 1290520 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ 0 => App\Models\Edition {#1046 #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 {#1048 #items: array:1 [ …1] #escapeWhenCastingToString: false } "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 {#1049 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1050 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1051 #items: [] #escapeWhenCastingToString: false } "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 {#1048} "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 {#1049} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1050} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1051} "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" => "1114333" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "16-1.jpg" "alt" => null "width" => "1887" "height" => 2818 "path" => "/media/geometrija_07/Smirnova-u17/0-1/16-1.webp?ts=1753260117" ] ] ] #original: array:6 [ "id" => 1290520 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1054} "book_page" => array:2 [ "refs" => "1114333" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "16-1.jpg" "alt" => null "width" => "1887" "height" => 2818 "path" => "/media/geometrija_07/Smirnova-u17/0-1/16-1.webp?ts=1753260117" ] ] ] #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 {#4081 #items: array:1 [ 0 => App\Models\BookPage {#4080 #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" => 1114334 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-17" "field_display_title" => "17" "field_folder" => "1" "field_image_name" => "17" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4086 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4085 #items: array:1 [ 0 => App\Models\Book {#1006} ] #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 {#4084 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#4115 #items: array:1 [ 0 => App\Models\Element {#4102 #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" => 1290521 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4116 #items: array:1 [ …1] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1114334" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ …5] ] ] #original: array:6 [ "id" => 1290521 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4116} "book_page" => array:2 [ "refs" => "1114334" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ …5] ] ] #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" => "1114335" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114333" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#4137 #items: array:10 [ 0 => App\Models\Task {#4104 #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" => 1129424 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-3" "field_display_title" => "Вопросы" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4100 #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 {#4099 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4131 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4130 …2} "content" => Illuminate\Database\Eloquent\Collection {#4133 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4151 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129424 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-3" "field_display_title" => "Вопросы" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4100} "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 {#4099 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4131 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4130 …2} "content" => Illuminate\Database\Eloquent\Collection {#4133 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4151 …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 {#4135 #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" => 1129425 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-1" "field_display_title" => "3.1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4139 …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 {#4150 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4152 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4148 …2} "content" => Illuminate\Database\Eloquent\Collection {#4134 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4165 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129425 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-1" "field_display_title" => "3.1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4139 …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 {#4150 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4152 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4148 …2} "content" => Illuminate\Database\Eloquent\Collection {#4134 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4165 …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 {#4149 #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" => 1129426 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-2" "field_display_title" => "3.2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4136 …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 {#4164 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4166 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4162 …2} "content" => Illuminate\Database\Eloquent\Collection {#4161 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4179 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129426 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-2" "field_display_title" => "3.2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4136 …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 {#4164 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4166 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4162 …2} "content" => Illuminate\Database\Eloquent\Collection {#4161 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4179 …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 {#4163 #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" => 1129427 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-3" "field_display_title" => "3.3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4160 …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 {#4178 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4180 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4176 …2} "content" => Illuminate\Database\Eloquent\Collection {#4175 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4193 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129427 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-3" "field_display_title" => "3.3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4160 …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 {#4178 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4180 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4176 …2} "content" => Illuminate\Database\Eloquent\Collection {#4175 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4193 …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 {#4177 #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" => 1129428 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-4" "field_display_title" => "3.4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4174 …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 {#4192 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4194 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4190 …2} "content" => Illuminate\Database\Eloquent\Collection {#4189 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4207 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129428 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-4" "field_display_title" => "3.4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4174 …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 {#4192 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4194 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4190 …2} "content" => Illuminate\Database\Eloquent\Collection {#4189 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4207 …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 {#4191 #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" => 1129429 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-5" "field_display_title" => "3.5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4188 …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 {#4206 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4208 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4204 …2} "content" => Illuminate\Database\Eloquent\Collection {#4203 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4221 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129429 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-5" "field_display_title" => "3.5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4188 …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 {#4206 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4208 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4204 …2} "content" => Illuminate\Database\Eloquent\Collection {#4203 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4221 …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 {#4205 #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" => 1129430 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-6" "field_display_title" => "3.6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4202 …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 {#4220 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4222 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4218 …2} "content" => Illuminate\Database\Eloquent\Collection {#4217 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4235 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129430 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-6" "field_display_title" => "3.6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4202 …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 {#4220 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4222 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4218 …2} "content" => Illuminate\Database\Eloquent\Collection {#4217 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4235 …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 => "*" ] } 7 => App\Models\Task {#4219 #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" => 1129431 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-7" "field_display_title" => "3.7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4216 …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 {#4234 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4236 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4232 …2} "content" => Illuminate\Database\Eloquent\Collection {#4231 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4249 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129431 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-7" "field_display_title" => "3.7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4216 …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 {#4234 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4236 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4232 …2} "content" => Illuminate\Database\Eloquent\Collection {#4231 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4249 …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 => "*" ] } 8 => App\Models\Task {#4233 #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" => 1129432 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-8" "field_display_title" => "3.8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4230 …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 {#4248 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4250 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4246 …2} "content" => Illuminate\Database\Eloquent\Collection {#4245 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4263 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129432 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-8" "field_display_title" => "3.8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4230 …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 {#4248 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4250 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4246 …2} "content" => Illuminate\Database\Eloquent\Collection {#4245 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4263 …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 => "*" ] } 9 => App\Models\Task {#4247 #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" => 1129433 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-9" "field_display_title" => "3.9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4244 …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 {#4262 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4264 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4260 …2} "content" => Illuminate\Database\Eloquent\Collection {#4259 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4277 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129433 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-9" "field_display_title" => "3.9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4244 …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 {#4262 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4264 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4260 …2} "content" => Illuminate\Database\Eloquent\Collection {#4259 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4277 …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" => 1114334 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "17" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-17" "field_display_title" => "17" "field_folder" => "1" "field_image_name" => "17" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4086} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4085} "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 {#4084} "content" => Illuminate\Database\Eloquent\Collection {#4115} "next" => array:2 [ "refs" => "1114335" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114333" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#4137} ] #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 {#4076 #items: array:1 [ 0 => App\Models\BookPage {#4075 #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" => 1114332 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "15" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-15" "field_display_title" => "15" "field_folder" => "1" "field_image_name" => "15" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4077 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4078 #items: array:1 [ 0 => App\Models\Book {#1006} ] #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 {#4079 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#4089 #items: array:1 [ 0 => App\Models\Element {#4088 #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" => 1290519 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4090 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1290519 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#4090 …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" => "1114333" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114331" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#4093 #items: array:1 [ 0 => App\Models\Task {#4092 #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" => 1129422 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "15" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/02-16" "field_display_title" => "2.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4097 …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 {#4096 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4095 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4132 …2} "content" => Illuminate\Database\Eloquent\Collection {#4129 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4125 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1129422 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "15" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/02-16" "field_display_title" => "2.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#4097 …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 {#4096 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4095 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#4132 …2} "content" => Illuminate\Database\Eloquent\Collection {#4129 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#4125 …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" => 1114332 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "15" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-15" "field_display_title" => "15" "field_folder" => "1" "field_image_name" => "15" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4077} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4078} "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 {#4079} "content" => Illuminate\Database\Eloquent\Collection {#4089} "next" => array:2 [ "refs" => "1114333" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114331" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#4093} ] #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 {#1055 #items: array:1 [ 0 => App\Models\Task {#1053 #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" => 1129423 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "16" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-3" "field_display_title" => "Задания" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1056 #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 {#1057 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1067 #items: array:1 [ 0 => App\Models\Branch {#1066 #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" => 1129359 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Начальные геометрические сведения" "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1071 …2} "field_page_start" => "5" "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 {#1070 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1069 …2} ] #original: array:24 [ "id" => 1129359 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Начальные геометрические сведения" "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1071 …2} "field_page_start" => "5" "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 {#1070 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1069 …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 {#1099 #items: array:2 [ 0 => App\Models\Branch {#1107 #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" => 1129359 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Начальные геометрические сведения" "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1108 …2} "field_page_start" => "5" "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 {#1109 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1110 …2} ] #original: array:24 [ "id" => 1129359 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Начальные геометрические сведения" "field_branch_order" => "1" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1108 …2} "field_page_start" => "5" "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 {#1109 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1110 …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 {#1111 #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" => 1129362 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Измерение длин отрезков" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1115 …2} "field_page_start" => "15" "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 {#1114 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113 …2} ] #original: array:24 [ "id" => 1129362 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Измерение длин отрезков" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1115 …2} "field_page_start" => "15" "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 {#1114 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113 …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 {#1096 #items: array:3 [ 0 => App\Models\Element {#1089 #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" => 1320091 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1088 …2} "task" => array:2 [ …2] "text" => "<p>Самостоятельно сформулируйте, чему равна длина разности отрезков.</p>" "img" => array:1 [ …1] ] #original: array:7 [ "id" => 1320091 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1088 …2} "task" => array:2 [ …2] "text" => "<p>Самостоятельно сформулируйте, чему равна длина разности отрезков.</p>" "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 => "*" ] } 1 => App\Models\Element {#1087 #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" => 1320480 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1076 …2} "task" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1320480 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1076 …2} "task" => 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 => "*" ] } 2 => App\Models\Element {#1081 #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" => 1541742 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1062 …2} "task" => array:2 [ …2] "text" => "<p>Разностью двух отрезков, при условии, что один из них больше или равен другому, называется третий отрезок, который в сумме с меньшим отрезком дает отрезок, равный большему. Чтобы найти разность геометрически, необходимо на большем отрезке отложить от одного из его концов отрезок, равный меньшему. Оставшаяся часть большего отрезка и будет являться искомой разностью.</p><p>Пусть у нас есть два отрезка, длина первого равна $a$, а длина второго — $b$, причем $a \ge b$. На отрезке длиной $a$ (обозначим его концы $A$ и $B$) от точки $A$ отложим отрезок $AK$ длиной $b$. Отрезок $KB$ будет разностью исходных отрезков. Его длина будет равна $a - b$.</p><svg width="400" height="120" xmlns="http://www.w3.org/2000/svg"><style> .label { font: 16px sans-serif; } .dim { font: italic 16px sans-serif; fill: #444; } .line-main { stroke: black; stroke-width: 2; } .line-diff { stroke: #0055A4; stroke-width: 3; stroke-linecap: butt;} .dim-line { stroke: #555; stroke-width: 1; } .tick { stroke: #555; stroke-width: 1; } </style><line x1="50" y1="50" x2="350" y2="50" class="line-main"></line><line x1="200" y1="45" x2="200" y2="55" class="line-main"></line><text x="45" y="40" class="label">A</text><text x="195" y="40" class="label">K</text><text x="345" y="40" class="label">B</text><line x1="50" y1="70" x2="50" y2="75" class="tick"></line><line x1="200" y1="70" x2="200" y2="75" class="tick"></line><line x1="50" y1="72.5" x2="200" y2="72.5" class="dim-line"></line><text x="115" y="90" class="dim">длина $b$</text><line x1="200" y1="70" x2="200" y2="75" class="tick"></line><line x1="350" y1="70" x2="350" y2="75" class="tick"></line><line x1="200" y1="72.5" x2="350" y2="72.5" class="dim-line"></line><text x="245" y="90" class="dim">длина $a-b$</text><line x1="200" y1="50" x2="350" y2="50" class="line-diff"></line><line x1="50" y1="100" x2="50" y2="105" class="tick"></line><line x1="350" y1="100" x2="350" y2="105" class="tick"></line><line x1="50" y1="102.5" x2="350" y2="102.5" class="dim-line"></line><text x="170" y="120" class="dim">длина $a$</text></svg><p>Из данного построения видно, что длина отрезка $AB$ равна сумме длин отрезков $AK$ и $KB$. То есть, $|AB| = |AK| + |KB|$. Подставив известные длины, получаем $a = b + |KB|$. Отсюда следует, что длина разности отрезков $|KB|$ равна $a - b$.</p><p>Таким образом, можно сформулировать правило:</p><p><strong>Длина разности двух отрезков равна разности их длин.</strong></p><p>Ответ: Длина разности двух отрезков равна разности длин этих отрезков (при вычитании из длины большего отрезка длины меньшего).</p>" ] #original: array:6 [ "id" => 1541742 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1062 …2} "task" => array:2 [ …2] "text" => "<p>Разностью двух отрезков, при условии, что один из них больше или равен другому, называется третий отрезок, который в сумме с меньшим отрезком дает отрезок, равный большему. Чтобы найти разность геометрически, необходимо на большем отрезке отложить от одного из его концов отрезок, равный меньшему. Оставшаяся часть большего отрезка и будет являться искомой разностью.</p><p>Пусть у нас есть два отрезка, длина первого равна $a$, а длина второго — $b$, причем $a \ge b$. На отрезке длиной $a$ (обозначим его концы $A$ и $B$) от точки $A$ отложим отрезок $AK$ длиной $b$. Отрезок $KB$ будет разностью исходных отрезков. Его длина будет равна $a - b$.</p><svg width="400" height="120" xmlns="http://www.w3.org/2000/svg"><style> .label { font: 16px sans-serif; } .dim { font: italic 16px sans-serif; fill: #444; } .line-main { stroke: black; stroke-width: 2; } .line-diff { stroke: #0055A4; stroke-width: 3; stroke-linecap: butt;} .dim-line { stroke: #555; stroke-width: 1; } .tick { stroke: #555; stroke-width: 1; } </style><line x1="50" y1="50" x2="350" y2="50" class="line-main"></line><line x1="200" y1="45" x2="200" y2="55" class="line-main"></line><text x="45" y="40" class="label">A</text><text x="195" y="40" class="label">K</text><text x="345" y="40" class="label">B</text><line x1="50" y1="70" x2="50" y2="75" class="tick"></line><line x1="200" y1="70" x2="200" y2="75" class="tick"></line><line x1="50" y1="72.5" x2="200" y2="72.5" class="dim-line"></line><text x="115" y="90" class="dim">длина $b$</text><line x1="200" y1="70" x2="200" y2="75" class="tick"></line><line x1="350" y1="70" x2="350" y2="75" class="tick"></line><line x1="200" y1="72.5" x2="350" y2="72.5" class="dim-line"></line><text x="245" y="90" class="dim">длина $a-b$</text><line x1="200" y1="50" x2="350" y2="50" class="line-diff"></line><line x1="50" y1="100" x2="50" y2="105" class="tick"></line><line x1="350" y1="100" x2="350" y2="105" class="tick"></line><line x1="50" y1="102.5" x2="350" y2="102.5" class="dim-line"></line><text x="170" y="120" class="dim">длина $a$</text></svg><p>Из данного построения видно, что длина отрезка $AB$ равна сумме длин отрезков $AK$ и $KB$. То есть, $|AB| = |AK| + |KB|$. Подставив известные длины, получаем $a = b + |KB|$. Отсюда следует, что длина разности отрезков $|KB|$ равна $a - b$.</p><p>Таким образом, можно сформулировать правило:</p><p><strong>Длина разности двух отрезков равна разности их длин.</strong></p><p>Ответ: Длина разности двух отрезков равна разности длин этих отрезков (при вычитании из длины большего отрезка длины меньшего).</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" => "1129424" "type" => "task" ] "previous" => array:2 [ "refs" => "1129422" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1092 #items: array:1 [ 0 => App\Models\Book {#1006} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1114333" "type" => "book_page" ] ] #original: array:24 [ "id" => 1129423 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "16" "field_page_end" => null "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-3" "field_display_title" => "Задания" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1056} "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 {#1057} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1067} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1099} "content" => Illuminate\Database\Eloquent\Collection {#1096} "next" => array:2 [ "refs" => "1129424" "type" => "task" ] "previous" => array:2 [ "refs" => "1129422" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1092} "page" => array:2 [ "refs" => "1114333" "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" => 1114333 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "16" "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-16" "field_display_title" => "16" "field_folder" => "1" "field_image_name" => "16" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036} "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 {#1034} "content" => Illuminate\Database\Eloquent\Collection {#1045} "next" => array:2 [ "refs" => "1114334" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1114332" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1055} ] #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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