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Метод координат. Навчальний посібник
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Електронної книги немає
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Доставка
Нова пошта — 60 грн
Укрпошта — від 20 грн
Оплата
При отриманні
Visa, MasterCard
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Книга «Метод координат» є посібником для навчання школярів, що виявляють підвищений інтерес до математики.
Виклад матеріалу у ній проводиться від найпростіших, відомих навіть молодшим школярам речей (координати точки на прямій) і доводиться до поняття про чотиривимірний простір та деякі його властивості.
Книга містить велику кількість задач різного рівня складності. Вона відображає майже 50-річний досвід роботи з учнями заочних математичних шкіл і розрахована насамперед на учнів 7–10 класів для впорядкування їхньої самостійної роботи з математики. Однак буде корисною і вчителям середніх та старших класів при проведенні ними факультативних занять і при підготовці до уроків з відповідних тем. Простота та ясність викладу роблять книгу доступною для всіх охочих самостійно займатися математикою.
Із 60-х років ХХ ст. по даний час книга витримала шість видань масовими тиражами російською мовою, неодноразово видавалася англійською мовою та іншими іноземними мовами і фактично стала класичною у своєму жанрі. Українською мовою виходить уперше.
Зміст
| Маленька книжечка великих романтиків
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| (Передмова редактора українського видання)
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| Передмова до шостого російського видання
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| Переднє слово до школярів
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| Вступ
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| Розділ I. Координати на прямій
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| §1. Числова вісь
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| §2. Абсолютна величина числа
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| §3. Відстань між двома точками на прямій
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| §4*. Поділ відрізка у заданому відношенні
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| Розділ ІІ. Координати на площині
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| §5. Координатна площина
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| §6. Множини точок на площині
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| §7. Відстань між точками на площині
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| §8. Задання фігур
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| §9. Пряма на площині
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| §10. Алгебра і геометрія
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| §11*. Інші системи координат
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| Розділ III. Координати в просторі
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|
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| §12. Координатні осі і площини
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| §13. Задання фігур у просторі
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| §14. Площина в просторі
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| §15. Пряма в просторі
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| §16*. Взаємне розміщення прямих і площин
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|
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| Розділ IV. Чотиривимірний простір
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| §17. Вступ
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| §18. Геометрія чотиривимірного простору
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|
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| §19. Чотиривимірний куб
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|
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| §20. Різні задачі
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|
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| Доповнення, примітки і коментарі
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|
|
| Відповіді, вказівки, розв’язки
|
|
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| Додаток І. Фрагмент інтерв’ю з академіком І.М. Гельфандом
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|
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| Додаток ІІ. Гельфанд і школа. Спогади автора книги О.Г. Глаголєвої |
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[3] =>
[4] => Передмова до шостого російського видання
[5] =>
[6] => Переднє слово до школярів
[7] =>
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[13] =>
[14] => §2. Абсолютна величина числа
[15] =>
[16] => §3. Відстань між двома точками на прямій
[17] =>
[18] => §4*. Поділ відрізка у заданому відношенні
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[29] =>
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[31] =>
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[33] =>
[34] => §11*. Інші системи координат
[35] =>
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[37] =>
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[39] =>
[40] => §13. Задання фігур у просторі
[41] =>
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[43] =>
[44] => §15. Пряма в просторі
[45] =>
[46] => §16*. Взаємне розміщення прямих і площин
[47] =>
[48] => Розділ IV. Чотиривимірний простір
[49] =>
[50] => §17. Вступ
[51] =>
[52] => §18. Геометрія чотиривимірного простору
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[61] =>
[62] => Додаток І. Фрагмент інтерв’ю з академіком І.М. Гельфандом
[63] =>
[64] => Додаток ІІ. Гельфанд і школа. Спогади автора книги О.Г. Глаголєвої
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(Передмова редактора українського видання)
Передмова до шостого російського видання
Переднє слово до школярів
Вступ
Розділ I. Координати на прямій
§1. Числова вісь
§2. Абсолютна величина числа
§3. Відстань між двома точками на прямій
§4*. Поділ відрізка у заданому відношенні
Розділ ІІ. Координати на площині
§5. Координатна площина
§6. Множини точок на площині
§7. Відстань між точками на площині
§8. Задання фігур
§9. Пряма на площині
§10. Алгебра і геометрія
§11*. Інші системи координат
Розділ III. Координати в просторі
§12. Координатні осі і площини
§13. Задання фігур у просторі
§14. Площина в просторі
§15. Пряма в просторі
§16*. Взаємне розміщення прямих і площин
Розділ IV. Чотиривимірний простір
§17. Вступ
§18. Геометрія чотиривимірного простору
§19. Чотиривимірний куб
§20. Різні задачі
Доповнення, примітки і коментарі
Відповіді, вказівки, розв’язки
Додаток І. Фрагмент інтерв’ю з академіком І.М. Гельфандом
Додаток ІІ. Гельфанд і школа. Спогади автора книги О.Г. Глаголєвої
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[~NAME] => Зміст
[~DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
)
[CML2_BAR_CODE] => Array
(
[ID] => 364
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => ШтрихКод
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_BAR_CODE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_BAR_CODE
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => ШтрихКод
[~DEFAULT_VALUE] =>
)
[CML2_ARTICLE] => Array
(
[ID] => 365
[TIMESTAMP_X] => 2013-09-23 11:27:00
[IBLOCK_ID] => 73
[NAME] => ISBN
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_ARTICLE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_ARTICLE
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320621
[VALUE] => 978-966-10-1909-5
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 978-966-10-1909-5
[~DESCRIPTION] =>
[~NAME] => ISBN
[~DEFAULT_VALUE] =>
)
[CML2_ATTRIBUTES] => Array
(
[ID] => 366
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Характеристики
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_ATTRIBUTES
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_ATTRIBUTES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Характеристики
[~DEFAULT_VALUE] =>
)
[CML2_TRAITS] => Array
(
[ID] => 367
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Реквизиты
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_TRAITS
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_TRAITS
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116320622
[1] => 116320623
[2] => 116320624
)
[VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.22
)
[DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.22
)
[~DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[~NAME] => Реквизиты
[~DEFAULT_VALUE] =>
)
[CML2_BASE_UNIT] => Array
(
[ID] => 368
[TIMESTAMP_X] => 2018-04-16 13:50:40
[IBLOCK_ID] => 73
[NAME] => Базовая единица
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_BASE_UNIT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_BASE_UNIT
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320625
[VALUE] => шт
[DESCRIPTION] => 6
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => шт
[~DESCRIPTION] => 6
[~NAME] => Базовая единица
[~DEFAULT_VALUE] =>
)
[CML2_TAXES] => Array
(
[ID] => 369
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Ставки налогов
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_TAXES
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_TAXES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116320626
)
[VALUE] => Array
(
[0] => Без налога
)
[DESCRIPTION] => Array
(
[0] => НДС
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Без налога
)
[~DESCRIPTION] => Array
(
[0] => НДС
)
[~NAME] => Ставки налогов
[~DEFAULT_VALUE] =>
)
[MORE_PHOTO] => Array
(
[ID] => 370
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Картинки
[ACTIVE] => Y
[SORT] => 500
[CODE] => MORE_PHOTO
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_PICTURES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Картинки
[~DEFAULT_VALUE] =>
)
[FILES] => Array
(
[ID] => 371
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Файлы
[ACTIVE] => Y
[SORT] => 500
[CODE] => FILES
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_FILES
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Файлы
[~DEFAULT_VALUE] =>
)
[AUTHOR] => Array
(
[ID] => 372
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Автор
[ACTIVE] => Y
[SORT] => 500
[CODE] => AUTHOR
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => AUTHOR_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 116320627
[1] => 116320628
[2] => 116320629
)
[VALUE] => Array
(
[0] => faa10177-f3b5-11df-996d-001517c70544
[1] => faa1017a-f3b5-11df-996d-001517c70544
[2] => faa1017c-f3b5-11df-996d-001517c70544
)
[DESCRIPTION] => Array
(
[0] =>
[1] =>
[2] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => faa10177-f3b5-11df-996d-001517c70544
[1] => faa1017a-f3b5-11df-996d-001517c70544
[2] => faa1017c-f3b5-11df-996d-001517c70544
)
[~DESCRIPTION] => Array
(
[0] =>
[1] =>
[2] =>
)
[~NAME] => Автор
[~DEFAULT_VALUE] =>
)
[CML2_KTK_UNI] => Array
(
[ID] => 373
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-Універсальний розділ)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_UNI
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_UNI_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 72
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-Універсальний розділ)
[~DEFAULT_VALUE] =>
)
[CML2_KTK_GIFT] => Array
(
[ID] => 374
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-подарункові)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_GIFT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_GIFT_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-подарункові)
[~DEFAULT_VALUE] =>
)
[CML2_KTK_EDUC] => Array
(
[ID] => 375
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК-Навчальна література)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_EDUC
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_EDUC_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 69
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК-Навчальна література)
[~DEFAULT_VALUE] =>
)
[CML2_KTK] => Array
(
[ID] => 376
[TIMESTAMP_X] => 2014-03-31 15:17:52
[IBLOCK_ID] => 73
[NAME] => Класифікатор (КТК)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_KTK_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 70
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Класифікатор (КТК)
[~DEFAULT_VALUE] =>
)
[VUD_ADD] => Array
(
[ID] => 377
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Видавництво
[ACTIVE] => Y
[SORT] => 500
[CODE] => VUD_ADD
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => VUD_ADD_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320630
[VALUE] => 28453d8b-d07d-11df-92a8-001517c70544
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 28453d8b-d07d-11df-92a8-001517c70544
[~DESCRIPTION] =>
[~NAME] => Видавництво
[~DEFAULT_VALUE] =>
)
[VUD_XML] => Array
(
[ID] => 378
[TIMESTAMP_X] => 2013-10-09 11:39:16
[IBLOCK_ID] => 73
[NAME] => Видавництво назва
[ACTIVE] => Y
[SORT] => 500
[CODE] => VUD_XML
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => VUD_N_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 82
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320631
[VALUE] => 3062
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 3062
[~DESCRIPTION] =>
[~NAME] => Видавництво назва
[~DEFAULT_VALUE] =>
)
[PageAm] => Array
(
[ID] => 379
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Кількість сторінок
[ACTIVE] => Y
[SORT] => 500
[CODE] => PageAm
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => PageAm
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320632
[VALUE] => 216
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 216
[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
)
[CoverType] => Array
(
[ID] => 380
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Обкладинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => CoverType
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
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[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CoverType
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320633
[VALUE] => М'яка
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => М'яка
[~DESCRIPTION] =>
[~NAME] => Обкладинка
[~DEFAULT_VALUE] =>
)
[Format] => Array
(
[ID] => 381
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Формат
[ACTIVE] => Y
[SORT] => 500
[CODE] => Format
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
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[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => Format
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320634
[VALUE] => 60х84/ 16 (145х200)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 60х84/ 16 (145х200)
[~DESCRIPTION] =>
[~NAME] => Формат
[~DEFAULT_VALUE] =>
)
[Year] => Array
(
[ID] => 382
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Рік видання
[ACTIVE] => Y
[SORT] => 500
[CODE] => Year
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => Year
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => 116320635
[VALUE] => -
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => -
[~DESCRIPTION] =>
[~NAME] => Рік видання
[~DEFAULT_VALUE] =>
)
[NEW] => Array
(
[ID] => 383
[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Новинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => NEW
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => NewIth
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Новинка
[~DEFAULT_VALUE] =>
)
[SAMPLE_PDF] => Array
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Виклад матеріалу у ній проводиться від найпростіших, відомих навіть молодшим школярам речей (координати точки на прямій) і доводиться до поняття про чотиривимірний простір та деякі його властивості.
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Виклад матеріалу у ній проводиться від найпростіших, відомих навіть молодшим школярам речей (координати точки на прямій) і доводиться до поняття про чотиривимірний простір та деякі його властивості.
Книга містить велику кількість задач різного рівня складності. Вона відображає майже 50-річний досвід роботи з учнями заочних математичних шкіл і розрахована насамперед на учнів 7–10 класів для впорядкування їхньої самостійної роботи з математики. Однак буде корисною і вчителям середніх та старших класів при проведенні ними факультативних занять і при підготовці до уроків з відповідних тем. Простота та ясність викладу роблять книгу доступною для всіх охочих самостійно займатися математикою.
Із 60-х років ХХ ст. по даний час книга витримала шість видань масовими тиражами російською мовою, неодноразово видавалася англійською мовою та іншими іноземними мовами і фактично стала класичною у своєму жанрі. Українською мовою виходить уперше.
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[HINT] =>
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[~RIGHT_MARGIN] => 76
[DEPTH_LEVEL] => 1
[~DEPTH_LEVEL] => 1
[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
[SEARCHABLE_CONTENT] => 1 ПРОДУКЦІЯ НК-Б
[~SEARCHABLE_CONTENT] => 1 ПРОДУКЦІЯ НК-Б
[CODE] => produktsiya-nk-b
[~CODE] => produktsiya-nk-b
[XML_ID] => 647117f0-520d-11df-a3fa-001517c70544
[~XML_ID] => 647117f0-520d-11df-a3fa-001517c70544
[TMP_ID] =>
[~TMP_ID] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[SOCNET_GROUP_ID] =>
[~SOCNET_GROUP_ID] =>
[LIST_PAGE_URL] =>
[~LIST_PAGE_URL] =>
[SECTION_PAGE_URL] => /catalog/8085/
[~SECTION_PAGE_URL] => /catalog/8085/
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_CODE] =>
[~IBLOCK_CODE] =>
[IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
[~IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
[EXTERNAL_ID] => 647117f0-520d-11df-a3fa-001517c70544
[~EXTERNAL_ID] => 647117f0-520d-11df-a3fa-001517c70544
[IPROPERTY_VALUES] => Array
(
[ELEMENT_META_TITLE] => КУПИТИ: 1 ПРОДУКЦІЯ НК-Б - Навчальна книга "Богдан"
)
)
[1] => Array
(
[ID] => 9753
[~ID] => 9753
[TIMESTAMP_X] => 2020-04-03 14:59:59
[~TIMESTAMP_X] => 2020-04-03 14:59:59
[MODIFIED_BY] => 2
[~MODIFIED_BY] => 2
[DATE_CREATE] => 2018-04-04 11:30:55
[~DATE_CREATE] => 2018-04-04 11:30:55
[CREATED_BY] => 2
[~CREATED_BY] => 2
[IBLOCK_ID] => 73
[~IBLOCK_ID] => 73
[IBLOCK_SECTION_ID] => 8085
[~IBLOCK_SECTION_ID] => 8085
[ACTIVE] => Y
[~ACTIVE] => Y
[GLOBAL_ACTIVE] => Y
[~GLOBAL_ACTIVE] => Y
[SORT] => 200
[~SORT] => 200
[NAME] => 8. Розпродаж
[~NAME] => 8. Розпродаж
[PICTURE] =>
[~PICTURE] =>
[LEFT_MARGIN] => 48
[~LEFT_MARGIN] => 48
[RIGHT_MARGIN] => 49
[~RIGHT_MARGIN] => 49
[DEPTH_LEVEL] => 2
[~DEPTH_LEVEL] => 2
[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
[SEARCHABLE_CONTENT] => 8. РОЗПРОДАЖ
[~SEARCHABLE_CONTENT] => 8. РОЗПРОДАЖ
[CODE] =>
[~CODE] =>
[XML_ID] => af56bda3-a8f1-11e7-b6ba-d850e6b99436
[~XML_ID] => af56bda3-a8f1-11e7-b6ba-d850e6b99436
[TMP_ID] =>
[~TMP_ID] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[SOCNET_GROUP_ID] =>
[~SOCNET_GROUP_ID] =>
[LIST_PAGE_URL] =>
[~LIST_PAGE_URL] =>
[SECTION_PAGE_URL] => /catalog/9753/
[~SECTION_PAGE_URL] => /catalog/9753/
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_CODE] =>
[~IBLOCK_CODE] =>
[IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
[~IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
[EXTERNAL_ID] => af56bda3-a8f1-11e7-b6ba-d850e6b99436
[~EXTERNAL_ID] => af56bda3-a8f1-11e7-b6ba-d850e6b99436
[IPROPERTY_VALUES] => Array
(
[ELEMENT_META_TITLE] => КУПИТИ: 8. Розпродаж - Навчальна книга "Богдан"
)
)
)
)
[CATALOG_MEASURE_RATIO] => 1
[CATALOG_MEASURE_NAME] => шт
[~CATALOG_MEASURE_NAME] => шт
[PRICE_MATRIX] =>
[PRICES] => Array
(
[гуртова] => Array
(
[VALUE_NOVAT] => 32
[PRINT_VALUE_NOVAT] => 32,00 грн
[VALUE_VAT] => 32
[PRINT_VALUE_VAT] => 32,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 32
[PRINT_DISCOUNT_VALUE_NOVAT] => 32,00 грн
[DISCOUNT_VALUE_VAT] => 32
[PRINT_DISCOUNT_VALUE_VAT] => 32,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 32
[ROUND_VALUE_NOVAT] => 32
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119133
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 32
[PRINT_VALUE] => 32,00 грн
[UNROUND_DISCOUNT_VALUE] => 32
[DISCOUNT_VALUE] => 32
[PRINT_DISCOUNT_VALUE] => 32,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 32
[PRINT_VALUE_NOVAT] => 32,00 грн
[VALUE_VAT] => 32
[PRINT_VALUE_VAT] => 32,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 32
[PRINT_DISCOUNT_VALUE_NOVAT] => 32,00 грн
[DISCOUNT_VALUE_VAT] => 32
[PRINT_DISCOUNT_VALUE_VAT] => 32,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 32
[ROUND_VALUE_NOVAT] => 32
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119133
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 32
[PRINT_VALUE] => 32,00 грн
[UNROUND_DISCOUNT_VALUE] => 32
[DISCOUNT_VALUE] => 32
[PRINT_DISCOUNT_VALUE] => 32,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=BUY&id=102565
[BUY_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=BUY&id=102565
[~ADD_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=ADD2BASKET&id=102565
[ADD_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=ADD2BASKET&id=102565
[LINK_URL] => link.php?PARENT_ELEMENT_ID=102565
[~SUBSCRIBE_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=SUBSCRIBE_PRODUCT&id=102565
[SUBSCRIBE_URL] => /catalog/book/102565/?IBLOCK_ID=book&SECTION_ID=102565&action=SUBSCRIBE_PRODUCT&id=102565
[OFFERS] => Array
(
)
[counterData] => Array
(
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[user_id] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
return BX.message("USER_ID") ? BX.message("USER_ID") : 0;
}
)
[recommendation] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
var rcmId = "";
var cookieValue = BX.getCookie("BITRIX_SM_RCM_PRODUCT_LOG");
var productId = 102565;
var cItems = [],
cItem;
if (cookieValue)
{
cItems = cookieValue.split('.');
}
var i = cItems.length;
while (i--)
{
cItem = cItems[i].split('-');
if (cItem[0] == productId)
{
rcmId = cItem[1];
break;
}
}
return rcmId;
}
)
[v] => 2
)
[AUTHOR] => Array
(
[0] => Array
(
[ID] => 105141
[~ID] => 105141
[NAME] => Гельфанд Ізраїль Мойсейович
[~NAME] => Гельфанд Ізраїль Мойсейович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/105141/
[~DETAIL_PAGE_URL] => /author/105141/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => faa10177-f3b5-11df-996d-001517c70544
[~EXTERNAL_ID] => faa10177-f3b5-11df-996d-001517c70544
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
[1] => Array
(
[ID] => 107513
[~ID] => 107513
[NAME] => Глаголєва Олена Георгіївна
[~NAME] => Глаголєва Олена Георгіївна
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/107513/
[~DETAIL_PAGE_URL] => /author/107513/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => faa1017a-f3b5-11df-996d-001517c70544
[~EXTERNAL_ID] => faa1017a-f3b5-11df-996d-001517c70544
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
[2] => Array
(
[ID] => 107514
[~ID] => 107514
[NAME] => Кирилов Олександр Олександрович
[~NAME] => Кирилов Олександр Олександрович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/107514/
[~DETAIL_PAGE_URL] => /author/107514/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => faa1017c-f3b5-11df-996d-001517c70544
[~EXTERNAL_ID] => faa1017c-f3b5-11df-996d-001517c70544
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
)
[COMPLECT] => N
[ALL] => Array
(
[SECTION_BOOK] => 3085
[SEC_NAME] => Математика
)
[META] => Array
(
[H1] => Метод координат. Навчальний посібник
[TITLE] => Метод координат. Навчальний посібник
)
[MORE_TAB] => Array
(
[VUD_ADD] => 28453d8b-d07d-11df-92a8-001517c70544
[AUTHOR] => Array
(
[0] => faa10177-f3b5-11df-996d-001517c70544
[1] => faa1017a-f3b5-11df-996d-001517c70544
[2] => faa1017c-f3b5-11df-996d-001517c70544
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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