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Номер 1, страница 32, часть 2 - гдз по математике 1 класс рабочая тетрадь Петерсон
Авторы: Петерсон Л. Г.
Тип: рабочая тетрадь
Серия: учусь учиться
Издательство: Просвещение
Год издания: 2020 - 2026
Часть: 2
Цвет обложки: жёлтый, голубой с кораблём
ISBN: 978-5-09-106316-5
Непрерывный курс математики
Популярные ГДЗ в 1 классе
Часть 2. Урок 15. Части фигур - номер 1, страница 32.
App\Models\Task {#1030 // resources/views/models/task/default.blade.php #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" => 417927 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/2-15-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1036 #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" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #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 "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Branch {#1045 #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" => 417443 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "2" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ 0 => App\Models\Term {#1047 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ …6] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #original: array:7 [ "id" => 31 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Часть" "field_cases" => array:6 [ …6] "field_page_check_not_needed" => "1" "field_short_name" => "ч." ] #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_page_start" => "3" "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" => array:1 [ 0 => "/media/matematika_01/peterson-tetrad/covers/cover2.webp?ts=1735674512" ] "field_branch_covers" => array:1 [ 0 => array:4 [ "path" => "/media/matematika_01/peterson-tetrad/covers/cover2.webp?ts=1735674512" "alt" => "часть 2" "width" => "1200" "height" => "1588" ] ] "book" => Illuminate\Database\Eloquent\Collection {#1058 #items: array:1 [ 0 => App\Models\Book {#1057 #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" => 1073 "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 {#1062 #items: array:1 [ 0 => App\Models\Term {#1059 #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" => 6484 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Математика" "field_abbreviated_name" => null "field_cases" => array:6 [ …6] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "matematika" ] #original: array:10 [ "id" => 6484 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Математика" "field_abbreviated_name" => null "field_cases" => array:6 [ …6] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "matematika" ] #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 {#1064 #items: array:1 [ 0 => App\Models\Term {#1061 #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" => 5426 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "1" "field_cases" => array:6 [ …6] "field_translit" => "pervyj" ] #original: array:6 [ "id" => 5426 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "1" "field_cases" => array:6 [ …6] "field_translit" => "pervyj" ] #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 {#1066 #items: array:1 [ 0 => App\Models\Term {#1063 #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" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #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 {#1074 #items: array:1 [ 0 => App\Models\Term {#1073 #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" => 5448 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Петерсон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Людмила" "field_patronymic" => "Георгиевна" "field_surname_rp" => null ] #original: array:12 [ "id" => 5448 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Петерсон" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Людмила" "field_patronymic" => "Георгиевна" "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 {#1060 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Term {#1067 #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" => 6736 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "рабочая тетрадь" "field_book_type_foreign" => null "field_cases" => array:6 [ …6] "field_plural_form" => "рабочие тетради" "field_short_name" => "рт" "field_short_name_foreign" => null "field_translit" => "rabochaya tetrad" ] #original: array:10 [ "id" => 6736 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "рабочая тетрадь" "field_book_type_foreign" => null "field_cases" => array:6 [ …6] "field_plural_form" => "рабочие тетради" "field_short_name" => "рт" "field_short_name_foreign" => null "field_translit" => "rabochaya tetrad" ] #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 {#1069 #items: array:1 [ 0 => App\Models\Term {#1070 #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" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ …6] "field_translit" => "rossiya" ] #original: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ …6] "field_translit" => "rossiya" ] #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 {#1076 #items: array:1 [ 0 => App\Models\Term {#1071 #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" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ …6] "field_translit" => "moskva" ] #original: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ …6] "field_translit" => "moskva" ] #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 {#1078 #items: array:1 [ 0 => App\Models\Term {#1075 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:8 [ "id" => 4823 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "учусь учиться" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "uchus uchitsya" ] #original: array:8 [ "id" => 4823 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "учусь учиться" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "uchus uchitsya" ] #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_umk" => Illuminate\Database\Eloquent\Collection {#1077 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1065 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1082 #items: array:1 [ 0 => App\Models\Term {#1079 #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" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "field_cases" => array:6 [ …6] "field_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #original: array:10 [ "id" => 25 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (новый)" "field_cases" => array:6 [ …6] "field_color" => "красный" "field_end_year" => "2027" "field_start_year" => "2023" "field_translit" => "fgos" "field_type" => "новый" ] #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_publication_number" => "6" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1084 #items: array:1 [ 0 => App\Models\Term {#1081 #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" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "field_cases" => array:6 [ …6] "field_translit" => "pererabotannoe" ] #original: array:6 [ "id" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "field_cases" => array:6 [ …6] "field_translit" => "pererabotannoe" ] #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_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1083 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "с кораблём" "field_publication_year" => "2020" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => null "field_allowed" => null "field_reserve_field" => "Непрерывный курс математики" "field_link_to_source" => null "field_tasks_count" => "683" "field_priority" => "14" "field_default_folder" => "/matematika_01/peterson-tetrad/" "field_isbn" => "978-5-09-106316-5" "field_cover" => array:3 [ 0 => "/media/matematika_01/peterson-tetrad/covers/cover1.webp?ts=1735674512" 1 => "/media/matematika_01/peterson-tetrad/covers/cover2.webp?ts=1735674512" 2 => "/media/matematika_01/peterson-tetrad/covers/cover3.webp?ts=1735674512" ] "field_cover_alts" => array:3 [ 0 => "часть 1" 1 => "часть 2" 2 => "часть 3" ] "field_covers" => array:3 [ 0 => array:4 [ "path" => "/media/matematika_01/peterson-tetrad/covers/cover1.webp?ts=1735674512" "alt" => "часть 1" "width" => "1200" "height" => "1588" ] 1 => array:4 [ "path" => "/media/matematika_01/peterson-tetrad/covers/cover2.webp?ts=1735674512" "alt" => "часть 2" "width" => "1200" "height" => "1588" ] 2 => array:4 [ "path" => "/media/matematika_01/peterson-tetrad/covers/cover3.webp?ts=1735674512" "alt" => "часть 3" "width" => "1200" "height" => "1588" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1080 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1085 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1086 #items: [] #escapeWhenCastingToString: false } "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:2 [ 0 => App\Models\Term {#1087 #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" => 57 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "жёлтый" "field_cases" => array:6 [ …6] "field_translit" => "zhyoltyy" ] #original: array:6 [ "id" => 57 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "жёлтый" "field_cases" => array:6 [ …6] "field_translit" => "zhyoltyy" ] #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 {#1089 #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" => 52 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "голубой" "field_cases" => array:6 [ …6] "field_translit" => "goluboy" ] #original: array:6 [ "id" => 52 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "голубой" "field_cases" => array:6 [ …6] "field_translit" => "goluboy" ] #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" => "<!--text2--> <h2> Зачем учить математику и как правильно это делать? </h2> <p> Многие дети на полном серьезе считают, что половина изучаемых предметов им вообще не нужна. В этот список попала и математика, которая в принципе имеет огромное значение в жизни каждого человека. С простыми вычислениями люди сталкиваются каждый день, например, при походе в магазин. Есть ряд профессий, где знание данной дисциплины нужно в обязательном порядке. Кроме того, изучение столь древней науки способствует развитию логического и рационального мышления, что тоже немаловажно. Конечно, трудности на пути к получению необходимых знаний неизбежны, но их легко преодолеть под руководством «<strong>ГДЗ по Математике 1 класс Рабочая тетрадь Петерсон (Просвещение, 2016-2022 гг.)</strong>». </p> <p> Программа первого класса предусматривает изучение следующего материала: </p> <ol> <li>Сравнение групп предметов.</li> <li>Порядок.</li> <li>Числовой ряд от 1 до 10.</li> <li>Один – много.</li> <li>Отрезок и его части.</li> <li>Ломаная линия. Многоугольник, и т.д.</li> </ol> <p> Чем старше будут становиться школьники, тем с более сложными темами они станут сталкиваться. Пока же им нужно освоить азы дисциплины, понять простейшие математические действия. Хоть некоторые дети и умеют считать до десяти, но вот вычисления даются им весьма проблематично. Виной всему ограниченное время уроков, так как учителя просто не успевают рассказать и показать все нюансы проходимых параграфов. Но при помощи решебника можно компенсировать подобные упущения. </p> <h2> Полезные свойства ГДЗ к РТ Петерсона </h2> <p> В наше время существует много всевозможных шпаргалок, которые якобы гарантируют учащимся отличные результаты. Однако их использование не приносит ожидаемого результата. Другое дело - сборник ответов «<strong>Математика 1 класс Рабочая тетрадь Петерсон</strong>». Это пособие создано опытными методистами, которые раньше преподавали предмет. Они лучше остальных знают, с какими трудностями сталкиваются ребята, поэтому сделали акцент на всех проблемных моментах. </p> <p> Благодаря справочнику первоклассники смогут: </p> <ol> <li>правильно выполнить все домашние задания;</li> <li>разобрать ошибки, чтобы впредь их не допускать;</li> <li>повторить все ранее пройденное, если в этом будет необходимость;</li> <li>приобрести важные навыки по дисциплине.</li> </ol> <p> В решебнике авторы привели наглядные примеры, верные ответы и детальные варианты решений. Эти сведения пригодятся школьникам не раз на протяжении всего учебного года. Внимательно изучая информацию, они лучше разберут материал, запомнят нужный порядок действий, разберут все непонятные моменты. </p> <h2> Решебник - лучшее подспорье </h2> <p> На первых порах всем детям нужна помощь с уроками. Кто-то потом вполне успешно адаптируется к программе и начинает самостоятельно грызть гранит науки, а некоторые ребята так и продолжают требовать повышенного внимания, так как допускают постоянные недочеты. Не все родители могут принимать полноценное участие в учебном процессе, подолгу объяснять материал. Но этого и не нужно, ведь есть <strong>решебник по математике 1 класс к рабочей тетради Петерсона Л. Г. (Просвещение)</strong>. </p> <p> Работа с изданием позволит школьникам научиться: </p> <ul> <li>распознавать и формулировать простые задачи;</li> <li>составлять условия по рисунку;</li> <li>строить отрезки заданной длины;</li> <li>определять прямые углы, и многое другое</li> </ul> <p> Чем лучше ученики усвоят текущую программу, тем с меньшими сложностями они столкнутся в дальнейшем. Но для приобретения необходимых навыков им тоже предстоит потрудиться. Не получится просто списать готовое решение и демонстрировать потом отличные умения. Нужно детально проработать материал, изучить каждое действие, понять сам принцип, заложенный в задаче или примере. 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Они лучше остальных знают, с какими трудностями сталкиваются ребята, поэтому сделали акцент на всех проблемных моментах. </p> <p> Благодаря справочнику первоклассники смогут: </p> <ol> <li>правильно выполнить все домашние задания;</li> <li>разобрать ошибки, чтобы впредь их не допускать;</li> <li>повторить все ранее пройденное, если в этом будет необходимость;</li> <li>приобрести важные навыки по дисциплине.</li> </ol> <p> В решебнике авторы привели наглядные примеры, верные ответы и детальные варианты решений. Эти сведения пригодятся школьникам не раз на протяжении всего учебного года. Внимательно изучая информацию, они лучше разберут материал, запомнят нужный порядок действий, разберут все непонятные моменты. </p> <h2> Решебник - лучшее подспорье </h2> <p> На первых порах всем детям нужна помощь с уроками. 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false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1127 #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" => 417463 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Части фигур" "field_branch_order" => "15" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1131 #items: array:1 [ 0 => App\Models\Term {#1128 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 6836 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Урок" "field_cases" => array:6 [ …6] "field_page_check_not_needed" => "0" "field_short_name" => null ] #original: array:7 [ "id" => 6836 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Урок" "field_cases" => array:6 [ …6] "field_page_check_not_needed" => "0" "field_short_name" => 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_page_start" => "32" "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 {#1130 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1129 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 417463 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Части фигур" "field_branch_order" => "15" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1131} "field_page_start" => "32" "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 {#1130} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1129} ] #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 {#1038 #items: array:4 [ 0 => App\Models\Element {#1103 #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" => 479279 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1093 #items: array:1 [ 0 => App\Models\Edition {#1096 #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" => 1184 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие 2023" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1094 …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" => "tolik" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1054 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1092 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1091 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1184 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие 2023" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1094 …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" => "tolik" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1054 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1092 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1091 …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 } "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1.</strong> Допиши равенства.</p><p>$K + C = \Box$</p><p>$\Box + \Box = \Box$</p><p>$\Box - \Box = \Box$</p><p>$\Box - \Box = \Box$</p><p><strong>2.</strong> Вставь пропущенные числа.</p><p>$6 - 3 = \Box$</p><p>$7 - 3 + 4 = \Box$</p><p>$2 + \Box = 8$</p><p>$3 + 5 = \Box$</p><p>$5 + 4 - 6 = \Box$</p><p>$\Box - 5 = 4$</p><p><strong>3.</strong> Сравни выражения.</p><p>$7 - 5 \Box 7 - 4$</p><p>$6 + 3 \Box 6 + 1$</p><p>$4 - 2 \Box 9 - 2$</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1884" "height" => 1215 "path" => "/media/matematika_01/peterson-tetrad/0-2-15/1-1.webp?ts=1736087565" ] ] ] #original: array:7 [ "id" => 479279 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1093} "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1.</strong> Допиши равенства.</p><p>$K + C = \Box$</p><p>$\Box + \Box = \Box$</p><p>$\Box - \Box = \Box$</p><p>$\Box - \Box = \Box$</p><p><strong>2.</strong> Вставь пропущенные числа.</p><p>$6 - 3 = \Box$</p><p>$7 - 3 + 4 = \Box$</p><p>$2 + \Box = 8$</p><p>$3 + 5 = \Box$</p><p>$5 + 4 - 6 = \Box$</p><p>$\Box - 5 = 4$</p><p><strong>3.</strong> Сравни выражения.</p><p>$7 - 5 \Box 7 - 4$</p><p>$6 + 3 \Box 6 + 1$</p><p>$4 - 2 \Box 9 - 2$</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1884" "height" => 1215 "path" => "/media/matematika_01/peterson-tetrad/0-2-15/1-1.webp?ts=1736087565" ] ] ] #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 {#1102 #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" => 1510401 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1135 #items: array:1 [ 0 => App\Models\Edition {#1137 #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" => 5523 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2(2023)" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1142 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "vadim" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1146 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1139 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1143 …2} "field_content_source" => null ] #original: array:21 [ "id" => 5523 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2(2023)" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1142 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "vadim" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1146 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1139 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1143 …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 } "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1. Допиши равенства.</strong></p><p>На рисунке квадрат $M$ (целое) состоит из двух треугольников $K$ и $C$ (части). Взаимосвязь между целым и частями можно выразить через сложение и вычитание:<br>1. Чтобы найти целое, нужно сложить его части: $K + C = M$.<br>2. От перестановки слагаемых сумма не меняется: $C + K = M$.<br>3. Чтобы найти неизвестную часть, нужно из целого вычесть известную часть: $M - K = C$.<br>4. Аналогично для второй части: $M - C = K$.<br>Ответ:<br>$K + C = M$<br>$C + K = M$<br>$M - K = C$<br>$M - C = K$</p><p><strong>2. Вставь пропущенные числа.</strong></p><p>$6 - 3 = 3$<br>Ответ: 3</p><p>$3 + 5 = 8$<br>Ответ: 8</p><p>$7 - 3 + 4 = ?$<br>Выполняем действия по порядку слева направо:<br>1) $7 - 3 = 4$<br>2) $4 + 4 = 8$<br>Следовательно, $7 - 3 + 4 = 8$.<br>Ответ: 8</p><p>$5 + 4 - 6 = ?$<br>Выполняем действия по порядку слева направо:<br>1) $5 + 4 = 9$<br>2) $9 - 6 = 3$<br>Следовательно, $5 + 4 - 6 = 3$.<br>Ответ: 3</p><p>$2 + \square = 8$<br>Здесь неизвестно второе слагаемое. Чтобы его найти, нужно из суммы ($8$) вычесть известное слагаемое ($2$):<br>$8 - 2 = 6$<br>Проверка: $2 + 6 = 8$.<br>Ответ: 6</p><p>$\square - 5 = 4$<br>Здесь неизвестно уменьшаемое. Чтобы его найти, нужно к разности ($4$) прибавить вычитаемое ($5$):<br>$4 + 5 = 9$<br>Проверка: $9 - 5 = 4$.<br>Ответ: 9</p><p><strong>3. Сравни выражения.</strong></p><p><em>Сравнение $7 - 5$ и $7 - 4$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $7 - 5 = 2$.<br>2. Вычисляем правую часть: $7 - 4 = 3$.<br>3. Сравниваем результаты: $2 < 3$.<br><u>Способ 2: Сравнение компонентов</u><br>Уменьшаемые в обоих выражениях одинаковы ($7$). Чем больше вычитаемое, тем меньше разность. Поскольку $5 > 4$, результат слева будет меньше.<br>Таким образом, $7 - 5 < 7 - 4$.<br>Ответ: <</p><p><em>Сравнение $6 + 3$ и $6 + 1$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $6 + 3 = 9$.<br>2. Вычисляем правую часть: $6 + 1 = 7$.<br>3. Сравниваем результаты: $9 > 7$.<br><u>Способ 2: Сравнение компонентов</u><br>Первые слагаемые в обоих выражениях одинаковы ($6$). Чем больше второе слагаемое, тем больше сумма. Поскольку $3 > 1$, результат слева будет больше.<br>Таким образом, $6 + 3 > 6 + 1$.<br>Ответ: ></p><p><em>Сравнение $4 - 2$ и $9 - 2$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $4 - 2 = 2$.<br>2. Вычисляем правую часть: $9 - 2 = 7$.<br>3. Сравниваем результаты: $2 < 7$.<br><u>Способ 2: Сравнение компонентов</u><br>Вычитаемые в обоих выражениях одинаковы ($2$). Чем больше уменьшаемое, тем больше разность. Поскольку $4 < 9$, результат слева будет меньше.<br>Таким образом, $4 - 2 < 9 - 2$.<br>Ответ: <</p>" ] #original: array:6 [ "id" => 1510401 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1135} "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1. Допиши равенства.</strong></p><p>На рисунке квадрат $M$ (целое) состоит из двух треугольников $K$ и $C$ (части). Взаимосвязь между целым и частями можно выразить через сложение и вычитание:<br>1. Чтобы найти целое, нужно сложить его части: $K + C = M$.<br>2. От перестановки слагаемых сумма не меняется: $C + K = M$.<br>3. Чтобы найти неизвестную часть, нужно из целого вычесть известную часть: $M - K = C$.<br>4. Аналогично для второй части: $M - C = K$.<br>Ответ:<br>$K + C = M$<br>$C + K = M$<br>$M - K = C$<br>$M - C = K$</p><p><strong>2. Вставь пропущенные числа.</strong></p><p>$6 - 3 = 3$<br>Ответ: 3</p><p>$3 + 5 = 8$<br>Ответ: 8</p><p>$7 - 3 + 4 = ?$<br>Выполняем действия по порядку слева направо:<br>1) $7 - 3 = 4$<br>2) $4 + 4 = 8$<br>Следовательно, $7 - 3 + 4 = 8$.<br>Ответ: 8</p><p>$5 + 4 - 6 = ?$<br>Выполняем действия по порядку слева направо:<br>1) $5 + 4 = 9$<br>2) $9 - 6 = 3$<br>Следовательно, $5 + 4 - 6 = 3$.<br>Ответ: 3</p><p>$2 + \square = 8$<br>Здесь неизвестно второе слагаемое. Чтобы его найти, нужно из суммы ($8$) вычесть известное слагаемое ($2$):<br>$8 - 2 = 6$<br>Проверка: $2 + 6 = 8$.<br>Ответ: 6</p><p>$\square - 5 = 4$<br>Здесь неизвестно уменьшаемое. Чтобы его найти, нужно к разности ($4$) прибавить вычитаемое ($5$):<br>$4 + 5 = 9$<br>Проверка: $9 - 5 = 4$.<br>Ответ: 9</p><p><strong>3. Сравни выражения.</strong></p><p><em>Сравнение $7 - 5$ и $7 - 4$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $7 - 5 = 2$.<br>2. Вычисляем правую часть: $7 - 4 = 3$.<br>3. Сравниваем результаты: $2 < 3$.<br><u>Способ 2: Сравнение компонентов</u><br>Уменьшаемые в обоих выражениях одинаковы ($7$). Чем больше вычитаемое, тем меньше разность. Поскольку $5 > 4$, результат слева будет меньше.<br>Таким образом, $7 - 5 < 7 - 4$.<br>Ответ: <</p><p><em>Сравнение $6 + 3$ и $6 + 1$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $6 + 3 = 9$.<br>2. Вычисляем правую часть: $6 + 1 = 7$.<br>3. Сравниваем результаты: $9 > 7$.<br><u>Способ 2: Сравнение компонентов</u><br>Первые слагаемые в обоих выражениях одинаковы ($6$). Чем больше второе слагаемое, тем больше сумма. Поскольку $3 > 1$, результат слева будет больше.<br>Таким образом, $6 + 3 > 6 + 1$.<br>Ответ: ></p><p><em>Сравнение $4 - 2$ и $9 - 2$</em><br><u>Способ 1: Вычисление значений</u><br>1. Вычисляем левую часть: $4 - 2 = 2$.<br>2. Вычисляем правую часть: $9 - 2 = 7$.<br>3. Сравниваем результаты: $2 < 7$.<br><u>Способ 2: Сравнение компонентов</u><br>Вычитаемые в обоих выражениях одинаковы ($2$). Чем больше уменьшаемое, тем больше разность. Поскольку $4 < 9$, результат слева будет меньше.<br>Таким образом, $4 - 2 < 9 - 2$.<br>Ответ: <</p>" ] #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 {#1101 #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" => 479606 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053 #items: array:1 [ 0 => App\Models\Edition {#1052 #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" => 1186 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие 2020-2022" "field_order" => "4" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1051 …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" => "tolik" "field_edition_type" => "statement" "field_root_dir" => "00-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1113 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1041 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1034 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1186 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие 2020-2022" "field_order" => "4" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1051 …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" => "tolik" "field_edition_type" => "statement" "field_root_dir" => "00-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1113 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1041 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1034 …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 } "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1.</strong> Допиши равенства.</p><p>K + C = $ \Box $</p><p>$ \Box $ + $ \Box $ = $ \Box $</p><p>$ \Box $ - $ \Box $ = $ \Box $</p><p>$ \Box $ - $ \Box $ = $ \Box $</p><p><strong>2.</strong> Вставь пропущенные числа.</p><p>$ 6 - 3 = \Box $</p><p>$ 3 + 5 = \Box $</p><p>$ 7 - 3 + 4 = \Box $</p><p>$ 5 + 4 - 6 = \Box $</p><p>$ 2 + \Box = 8 $</p><p>$ \Box - 5 = 4 $</p><p><strong>3.</strong> Сравни выражения.</p><p>$ 7 - 5 \Box 7 - 4 $</p><p>$ 6 + 3 \Box 6 + 1 $</p><p>$ 4 - 2 \Box 9 - 2 $</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1958" "height" => 1208 "path" => "/media/matematika_01/peterson-tetrad/00-2-15/1-1.webp?ts=1736087597" ] ] ] #original: array:7 [ "id" => 479606 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053} "task" => array:2 [ "refs" => "417927" "type" => "task" ] "text" => "<p><strong>1.</strong> Допиши равенства.</p><p>K + C = $ \Box $</p><p>$ \Box $ + $ \Box $ = $ \Box $</p><p>$ \Box $ - $ \Box $ = $ \Box $</p><p>$ \Box $ - $ \Box $ = $ \Box $</p><p><strong>2.</strong> Вставь пропущенные числа.</p><p>$ 6 - 3 = \Box $</p><p>$ 3 + 5 = \Box $</p><p>$ 7 - 3 + 4 = \Box $</p><p>$ 5 + 4 - 6 = \Box $</p><p>$ 2 + \Box = 8 $</p><p>$ \Box - 5 = 4 $</p><p><strong>3.</strong> Сравни выражения.</p><p>$ 7 - 5 \Box 7 - 4 $</p><p>$ 6 + 3 \Box 6 + 1 $</p><p>$ 4 - 2 \Box 9 - 2 $</p>" "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1958" "height" => 1208 "path" => "/media/matematika_01/peterson-tetrad/00-2-15/1-1.webp?ts=1736087597" ] ] ] #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\Element {#1104 #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" => 479865 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114 #items: array:1 [ 0 => App\Models\Edition {#1122 #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" => 1187 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2020-2022" "field_order" => "5" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1132 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Белохвост" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "01-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1136 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1116 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1133 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1187 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2020-2022" "field_order" => "5" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1132 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Белохвост" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "01-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1136 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1116 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1133 …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 } "task" => array:2 [ "refs" => "417927" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1704" "height" => 1327 "path" => "/media/matematika_01/peterson-tetrad/01-2-15/1-1.webp?ts=1736087647" ] ] ] #original: array:6 [ "id" => 479865 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114} "task" => array:2 [ "refs" => "417927" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1704" "height" => 1327 "path" => "/media/matematika_01/peterson-tetrad/01-2-15/1-1.webp?ts=1736087647" ] ] ] #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" => "417928" "type" => "task" ] "previous" => array:2 [ "refs" => "417926" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1106 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1042 #items: array:1 [ 0 => App\Models\BookPage {#1109 #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" => 913890 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/page-3-32" "field_display_title" => "32" "field_folder" => "3" "field_image_name" => "32" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1141 #items: array:1 [ 0 => App\Models\Branch {#1049 #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" => 417486 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1144 …2} "field_page_start" => "3" "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" => array:1 [ …1] "field_branch_covers" => array:1 [ …1] "book" => Illuminate\Database\Eloquent\Collection {#1147 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 …2} ] #original: array:24 [ "id" => 417486 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => null "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1144 …2} "field_page_start" => "3" "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" => array:1 [ …1] "field_branch_covers" => array:1 [ …1] "book" => Illuminate\Database\Eloquent\Collection {#1147 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 …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 } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1040 #items: array:1 [ 0 => App\Models\Book {#1057} ] #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 {#1097 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1090 #items: array:2 [ 0 => App\Models\Element {#1154 #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" => 1088354 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1155 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1088354 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1155 …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 => "*" ] } 1 => App\Models\Element {#1156 #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" => 1091604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1157 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1091604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1157 …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" => "913891" "type" => "book_page" ] "previous" => array:2 [ "refs" => "913889" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1111 #items: array:7 [ 0 => App\Models\Task {#1165 #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" => 418194 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1166 …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 {#1167 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1168 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1207 …2} "content" => Illuminate\Database\Eloquent\Collection {#1169 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1198 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 418194 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1166 …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 {#1167 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1168 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1207 …2} "content" => Illuminate\Database\Eloquent\Collection {#1169 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1198 …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 {#1204 #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" => 418195 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1212 …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 {#1200 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1199 …2} "content" => Illuminate\Database\Eloquent\Collection {#1172 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1182 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 418195 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1212 …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 {#1200 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1199 …2} "content" => Illuminate\Database\Eloquent\Collection {#1172 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1182 …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 {#1203 #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" => 418196 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1201 …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 {#1183 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1186 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184 …2} "content" => Illuminate\Database\Eloquent\Collection {#1173 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1211 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 418196 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1201 …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 {#1183 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1186 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184 …2} "content" => Illuminate\Database\Eloquent\Collection {#1173 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1211 …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 {#1185 #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" => 418197 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1188 …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 {#1210 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1214 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208 …2} "content" => Illuminate\Database\Eloquent\Collection {#1187 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1237 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 418197 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/3-24-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1188 …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 {#1210 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1214 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208 …2} "content" => Illuminate\Database\Eloquent\Collection {#1187 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1237 …2} …1 ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 4 => App\Models\Task {#1205 #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 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 5 => App\Models\Task {#1233 #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 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 6 => App\Models\Task {#1249 #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 [ …24] #original: array:24 [ …24] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 913890 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/page-3-32" "field_display_title" => "32" "field_folder" => "3" "field_image_name" => "32" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1141} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1040} "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 {#1097} "content" => Illuminate\Database\Eloquent\Collection {#1090} "next" => array:2 [ "refs" => "913891" "type" => "book_page" ] "previous" => array:2 [ "refs" => "913889" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1111} ] #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:24 [ "id" => 417927 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "32" "field_page_end" => null "field_url" => "/1-klass/matematika/peterson-rabochaya-tetrad/2-15-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037} "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 {#1035} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1115} "content" => Illuminate\Database\Eloquent\Collection {#1038} "next" => array:2 [ "refs" => "417928" "type" => "task" ] "previous" => array:2 [ "refs" => "417926" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1106} "page" => array:2 [ "refs" => "913890" "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 => "*" ] }
№1 (с. 32)
Условие 2023. №1 (с. 32)
скриншот условия
1. Допиши равенства.
$K + C = \Box$
$\Box + \Box = \Box$
$\Box - \Box = \Box$
$\Box - \Box = \Box$
2. Вставь пропущенные числа.
$6 - 3 = \Box$
$7 - 3 + 4 = \Box$
$2 + \Box = 8$
$3 + 5 = \Box$
$5 + 4 - 6 = \Box$
$\Box - 5 = 4$
3. Сравни выражения.
$7 - 5 \Box 7 - 4$
$6 + 3 \Box 6 + 1$
$4 - 2 \Box 9 - 2$
Решение 2(2023). №1 (с. 32)
1. Допиши равенства.
На рисунке квадрат $M$ (целое) состоит из двух треугольников $K$ и $C$ (части). Взаимосвязь между целым и частями можно выразить через сложение и вычитание:
1. Чтобы найти целое, нужно сложить его части: $K + C = M$.
2. От перестановки слагаемых сумма не меняется: $C + K = M$.
3. Чтобы найти неизвестную часть, нужно из целого вычесть известную часть: $M - K = C$.
4. Аналогично для второй части: $M - C = K$.
Ответ:
$K + C = M$
$C + K = M$
$M - K = C$
$M - C = K$
2. Вставь пропущенные числа.
$6 - 3 = 3$
Ответ: 3
$3 + 5 = 8$
Ответ: 8
$7 - 3 + 4 = ?$
Выполняем действия по порядку слева направо:
1) $7 - 3 = 4$
2) $4 + 4 = 8$
Следовательно, $7 - 3 + 4 = 8$.
Ответ: 8
$5 + 4 - 6 = ?$
Выполняем действия по порядку слева направо:
1) $5 + 4 = 9$
2) $9 - 6 = 3$
Следовательно, $5 + 4 - 6 = 3$.
Ответ: 3
$2 + \square = 8$
Здесь неизвестно второе слагаемое. Чтобы его найти, нужно из суммы ($8$) вычесть известное слагаемое ($2$):
$8 - 2 = 6$
Проверка: $2 + 6 = 8$.
Ответ: 6
$\square - 5 = 4$
Здесь неизвестно уменьшаемое. Чтобы его найти, нужно к разности ($4$) прибавить вычитаемое ($5$):
$4 + 5 = 9$
Проверка: $9 - 5 = 4$.
Ответ: 9
3. Сравни выражения.
Сравнение $7 - 5$ и $7 - 4$
Способ 1: Вычисление значений
1. Вычисляем левую часть: $7 - 5 = 2$.
2. Вычисляем правую часть: $7 - 4 = 3$.
3. Сравниваем результаты: $2 < 3$.
Способ 2: Сравнение компонентов
Уменьшаемые в обоих выражениях одинаковы ($7$). Чем больше вычитаемое, тем меньше разность. Поскольку $5 > 4$, результат слева будет меньше.
Таким образом, $7 - 5 < 7 - 4$.
Ответ: <
Сравнение $6 + 3$ и $6 + 1$
Способ 1: Вычисление значений
1. Вычисляем левую часть: $6 + 3 = 9$.
2. Вычисляем правую часть: $6 + 1 = 7$.
3. Сравниваем результаты: $9 > 7$.
Способ 2: Сравнение компонентов
Первые слагаемые в обоих выражениях одинаковы ($6$). Чем больше второе слагаемое, тем больше сумма. Поскольку $3 > 1$, результат слева будет больше.
Таким образом, $6 + 3 > 6 + 1$.
Ответ: >
Сравнение $4 - 2$ и $9 - 2$
Способ 1: Вычисление значений
1. Вычисляем левую часть: $4 - 2 = 2$.
2. Вычисляем правую часть: $9 - 2 = 7$.
3. Сравниваем результаты: $2 < 7$.
Способ 2: Сравнение компонентов
Вычитаемые в обоих выражениях одинаковы ($2$). Чем больше уменьшаемое, тем больше разность. Поскольку $4 < 9$, результат слева будет меньше.
Таким образом, $4 - 2 < 9 - 2$.
Ответ: <
Условие 2020-2022. №1 (с. 32)
скриншот условия
1. Допиши равенства.
K + C = $ \Box $
$ \Box $ + $ \Box $ = $ \Box $
$ \Box $ - $ \Box $ = $ \Box $
$ \Box $ - $ \Box $ = $ \Box $
2. Вставь пропущенные числа.
$ 6 - 3 = \Box $
$ 3 + 5 = \Box $
$ 7 - 3 + 4 = \Box $
$ 5 + 4 - 6 = \Box $
$ 2 + \Box = 8 $
$ \Box - 5 = 4 $
3. Сравни выражения.
$ 7 - 5 \Box 7 - 4 $
$ 6 + 3 \Box 6 + 1 $
$ 4 - 2 \Box 9 - 2 $
Решение 2020-2022. №1 (с. 32)
Другие задания:
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