Страница 76, часть 1 - гдз по алгебре 10 класс учебник часть 1, 2 Пак, Ардакулы

Алгебра, 10 класс Учебник, авторы: Пак Олег Владимирович, Ардакулы Дархан, Ескендирова Елена Викторовна, издательство Алматыкітап баспасы, Алматы, 2019

Авторы: Пак О. В., Ардакулы Д., Ескендирова Е. В.

Тип: Учебник

Издательство: Алматыкітап баспасы

Год издания: 2019 - 2026

Часть: 1

ISBN: 978-601-01-3958-9

Рекомендовано Министерством образования и науки Республики Казахстан

Часть 1. Cтраница 76

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                  #table: "terms"
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                  ]
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                    0 => "*"
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                0 => App\Models\Term {#1053
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                  +incrementing: false
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_cases" => array:6 [ …6]
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                0 => App\Models\Term {#1055
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                  +incrementing: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 26
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "номер"
                    "field_cases" => array:6 [ …6]
                    "field_short_name" => ""
                  ]
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                    "id" => 26
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "номер"
                    "field_cases" => array:6 [ …6]
                    "field_short_name" => ""
                  ]
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                    0 => "*"
                  ]
                }
              ]
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1092
              #items: array:1 [
                0 => App\Models\Branch {#1008}
              ]
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            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129
              #items: array:5 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146
                  #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" => 1119358
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Тригонометрические функции"
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1150 …2}
                    "field_page_start" => "71"
                    "field_branch_display" => "0"
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                    "field_display_branch_in_title" => "1"
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                    "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
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                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1149 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1148 …2}
                  ]
                  #original: array:24 [
                    "id" => 1119358
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Тригонометрические функции"
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1150 …2}
                    "field_page_start" => "71"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
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                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1149 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1148 …2}
                  ]
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                    0 => "*"
                  ]
                }
                2 => App\Models\Branch {#1151
                  #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" => 1119359
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Свойства и график и тригонометрических функций"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1155 …2}
                    "field_page_start" => "74"
                    "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
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                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1154 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1163 …2}
                  ]
                  #original: array:24 [
                    "id" => 1119359
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Свойства и график и тригонометрических функций"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1155 …2}
                    "field_page_start" => "74"
                    "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
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                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
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                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1154 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1163 …2}
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                3 => App\Models\Branch {#1156
                  #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" => 1119362
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "1.2. Определения тригонометрических функций"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153 …2}
                    "field_page_start" => "76"
                    "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 {#1159 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1172 …2}
                  ]
                  #original: array:24 [
                    "id" => 1119362
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "1.2. Определения тригонометрических функций"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153 …2}
                    "field_page_start" => "76"
                    "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 {#1159 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1172 …2}
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                4 => App\Models\Branch {#1160
                  #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" => 1119363
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Упражнения"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1157 …2}
                    "field_page_start" => "76"
                    "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 {#1168 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                  ]
                  #original: array:24 [
                    "id" => 1119363
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Упражнения"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1157 …2}
                    "field_page_start" => "76"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
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                    "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 {#1168 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1095
              #items: array:2 [
                0 => App\Models\Element {#1121
                  #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" => 1300375
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1120 …2}
                    "task" => array:2 [ …2]
                    "text" => "<p><strong>Упражнение 1</strong></p><p>Отметьте на окружности точки</p><p>$M_{\frac{\pi}{2}}, M_{\frac{2\pi}{3}}, M_{2-\frac{\pi}{3}}, M_{2-\frac{\pi}{6}}, M_{\frac{\pi}{6}}, M_{\frac{\pi}{3}}, M_{\frac{2\pi}{3}}, M_{-\frac{2\pi}{3}}, M_{-2\frac{1}{3}\pi}, M_{-21\frac{1}{2}\pi}$.</p><p>(Отмечать можно и нужно, полагаясь на свой глазомер, например, путь длины $\frac{\pi}{3}$ в 3 раза меньше пути длины $\pi$).</p>"
                    "img" => array:1 [ …1]
                  ]
                  #original: array:7 [
                    "id" => 1300375
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                     …4
                  ]
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1119
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1119691"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1119689"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1124
              #items: array:1 [
                0 => App\Models\Book {#1039}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1099229"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1119690
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "76"
            "field_page_end" => null
            "field_url" => "/10-klass/algebra/baspasy-pak-uchebnik/2-1-2upr-1"
            "field_display_title" => "1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1094}
            "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 {#1093}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1092}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129}
            "content" => Illuminate\Database\Eloquent\Collection {#1095}
            "next" => array:2 [
              "refs" => "1119691"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1119689"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1124}
            "page" => array:2 [
              "refs" => "1099229"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1127
          #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" => 1119691
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "76"
            "field_page_end" => null
            "field_url" => "/10-klass/algebra/baspasy-pak-uchebnik/2-1-2upr-2"
            "field_display_title" => "2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:1 [
                0 => App\Models\Term {#1091}
              ]
              #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 {#1122
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1126
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:5 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
                2 => App\Models\Branch {#1151}
                3 => App\Models\Branch {#1156}
                4 => App\Models\Branch {#1160}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:2 [
                0 => 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:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1100
                  #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 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1119692"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1119690"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:1 [
                0 => App\Models\Book {#1039}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1099229"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1119691
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "76"
            "field_page_end" => null
            "field_url" => "/10-klass/algebra/baspasy-pak-uchebnik/2-1-2upr-2"
            "field_display_title" => "2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1139}
            "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 {#1122}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1126}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098}
            "content" => Illuminate\Database\Eloquent\Collection {#1099}
            "next" => array:2 [
              "refs" => "1119692"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1119690"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1107}
            "page" => array:2 [
              "refs" => "1099229"
              "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" => 1098989
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "76"
    "field_url" => "/10-klass/algebra/baspasy-pak-uchebnik/page-1-76"
    "field_display_title" => "76"
    "field_folder" => "1"
    "field_image_name" => "76"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1041}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1070}
    "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 {#1068}
    "content" => Illuminate\Database\Eloquent\Collection {#1079}
    "next" => array:2 [
      "refs" => "1098990"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1098988"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1072}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Алгебра, 10 класс Учебник, авторы: Пак Олег Владимирович, Ардакулы Дархан, Ескендирова Елена Викторовна, издательство Алматыкітап баспасы, Алматы, 2019, Часть 1, страница 76
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