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Нестандартна математика. Тестові завдання. 7 кл. Посіб.для підготовки до матем.турнірів та олімпіад.
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Електронної книги немає
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Доставка
Нова пошта — 60 грн
(безкоштовно - від 500 грн)
Укрпошта — від 20 грн
(безкоштовно - від 200 грн)
Оплата
При отриманні
Visa, MasterCard
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Ця книга допоможе вам опанувати основні методи розв’язання нестандартних
задач, покаже чарівний світ математики. Усі задачі поділено за трьома рівнями
складності. Розв’язання задач потребує знання певних методів, основи яких викладено
у вказівках щодо розв’язання та в довіднику наприкінці книги. Більшість задач посібника
пропонувалася на міських, обласних математичних олімпіадах для учнів 7-х класів та в
різноманітних математичних турнірах. Однак майже всі задачі переглянуто і доопрацьовано
з урахуванням потреб і вимог сьогодення.
Книгу можна використовувати вчителям у позакласній роботі, при підготовці учнів
до математичних турнірів та олімпіад, а також на уроках математики для активізації
розумової діяльності учнів.
Для учнів, учителів загальноосвітніх шкіл, ліцеїв, гімназій і всіх тих, хто цікавиться
математикою.
Зміст
| Передмова
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| Варіант 1
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| Варіант 2
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| Варіант 3
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| Варіант 4
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| Варіант 5
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| Варіант 6
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| Варіант 7
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| Варіант 8
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| Варіант 9
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| Варіант 10
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| Варіант 11
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| Варіант 12
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| Відповіді та вказівки
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| Довідник термінів
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| Література |
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[TMP_ID] =>
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[WITH_DESCRIPTION] => Y
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
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[1] => 132864101
[2] => 132864102
)
[VALUE] => Array
(
[0] => Книжки
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[2] => 0.165
)
[DESCRIPTION] => Array
(
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[1] => ТипНоменклатуры
[2] => Вес
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(
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)
[~DESCRIPTION] => Array
(
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[1] => ТипНоменклатуры
[2] => Вес
)
[~NAME] => Реквизиты
[~DEFAULT_VALUE] =>
)
[CML2_BASE_UNIT] => Array
(
[ID] => 368
[TIMESTAMP_X] => 2018-04-16 13:50:40
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[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] => 132864103
[VALUE] => шт
[DESCRIPTION] => 6
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => шт
[~DESCRIPTION] => 6
[~NAME] => Базовая единица
[~DEFAULT_VALUE] =>
)
[CML2_TAXES] => Array
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[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] => 132864104
)
[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] => 2020-08-04 17:02:23
[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] => 132864105
)
[VALUE] => Array
(
[0] => 70c14176-466b-11df-9b46-0012f0c1528a
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 70c14176-466b-11df-9b46-0012f0c1528a
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Автор
[~DEFAULT_VALUE] =>
)
[CML2_KTK_UNI] => Array
(
[ID] => 373
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[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
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[NAME] => Класифікатор (КТК-подарункові)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_KTK_GIFT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
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[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] => 2020-08-04 17:02:23
[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] => 132864106
[VALUE] => 28453d8a-d07d-11df-92a8-001517c70544
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 28453d8a-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] => 132864107
[VALUE] => 3062
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 3062
[~DESCRIPTION] =>
[~NAME] => Видавництво назва
[~DEFAULT_VALUE] =>
)
[PageAm] => Array
(
[ID] => 379
[TIMESTAMP_X] => 2020-08-04 17:02:23
[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] => 132864108
[VALUE] => 128
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 128
[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
)
[CoverType] => Array
(
[ID] => 380
[TIMESTAMP_X] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Обкладинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => CoverType
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[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] => 132864109
[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] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Формат
[ACTIVE] => Y
[SORT] => 500
[CODE] => Format
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[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] => 132864110
[VALUE] => 70х100/ 16 (170х240)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 70х100/ 16 (170х240)
[~DESCRIPTION] =>
[~NAME] => Формат
[~DEFAULT_VALUE] =>
)
[Year] => Array
(
[ID] => 382
[TIMESTAMP_X] => 2020-08-04 17:02:23
[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] => 132864111
[VALUE] => -
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => -
[~DESCRIPTION] =>
[~NAME] => Рік видання
[~DEFAULT_VALUE] =>
)
[NEW] => Array
(
[ID] => 383
[TIMESTAMP_X] => 2020-08-04 17:02:23
[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
(
[ID] => 386
[TIMESTAMP_X] => 2013-09-27 15:25:45
[IBLOCK_ID] => 73
[NAME] => PDF зразок книги
[ACTIVE] => Y
[SORT] => 500
[CODE] => SAMPLE_PDF
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => F
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
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[XML_ID] =>
[FILE_TYPE] =>
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[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] => PDF зразок книги
[~DEFAULT_VALUE] =>
)
[RECOMENDED] => Array
(
[ID] => 388
[TIMESTAMP_X] => 2013-09-25 14:22:27
[IBLOCK_ID] => 73
[NAME] => Рекомендуємо
[ACTIVE] => Y
[SORT] => 500
[CODE] => RECOMENDED
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] =>
[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_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Рекомендуємо
[~DEFAULT_VALUE] =>
)
[ANNOTACIA] => Array
(
[ID] => 389
[TIMESTAMP_X] => 2018-09-12 22:50:48
[IBLOCK_ID] => 73
[NAME] => Аннотація
[ACTIVE] => Y
[SORT] => 500
[CODE] => ANNOTACIA
[DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
[PROPERTY_TYPE] => S
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[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => ANNOTACIA
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => HTML
[USER_TYPE_SETTINGS] => Array
(
[height] => 200
)
[HINT] =>
[PROPERTY_VALUE_ID] => 3196414
[VALUE] => Array
(
[TEXT] => Ця книга допоможе вам опанувати основні методи розв’язання нестандартних
задач, покаже чарівний світ математики. Усі задачі поділено за трьома рівнями
складності. Розв’язання задач потребує знання певних методів, основи яких викладено
у вказівках щодо розв’язання та в довіднику наприкінці книги. Більшість задач посібника
пропонувалася на міських, обласних математичних олімпіадах для учнів 7-х класів та в
різноманітних математичних турнірах. Однак майже всі задачі переглянуто і доопрацьовано
з урахуванням потреб і вимог сьогодення.
Книгу можна використовувати вчителям у позакласній роботі, при підготовці учнів
до математичних турнірів та олімпіад, а також на уроках математики для активізації
розумової діяльності учнів.
Для учнів, учителів загальноосвітніх шкіл, ліцеїв, гімназій і всіх тих, хто цікавиться
математикою.
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[TEXT] => Ця книга допоможе вам опанувати основні методи розв’язання нестандартних
задач, покаже чарівний світ математики. Усі задачі поділено за трьома рівнями
складності. Розв’язання задач потребує знання певних методів, основи яких викладено
у вказівках щодо розв’язання та в довіднику наприкінці книги. Більшість задач посібника
пропонувалася на міських, обласних математичних олімпіадах для учнів 7-х класів та в
різноманітних математичних турнірах. Однак майже всі задачі переглянуто і доопрацьовано
з урахуванням потреб і вимог сьогодення.
Книгу можна використовувати вчителям у позакласній роботі, при підготовці учнів
до математичних турнірів та олімпіад, а також на уроках математики для активізації
розумової діяльності учнів.
Для учнів, учителів загальноосвітніх шкіл, ліцеїв, гімназій і всіх тих, хто цікавиться
математикою.
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[MULTIPLE] => N
[XML_ID] =>
[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] => Електронна книга у подарунок (файл)
[~DEFAULT_VALUE] =>
)
[BIND_ADDITIONAL_SEC] => Array
(
[ID] => 544
[TIMESTAMP_X] => 2017-06-19 15:40:28
[IBLOCK_ID] => 73
[NAME] => Додатковий розділ
[ACTIVE] => Y
[SORT] => 500
[CODE] => BIND_ADDITIONAL_SEC
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 84
[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] => Додатковий розділ
[~DEFAULT_VALUE] =>
)
[COMPLECTS] => Array
(
[ID] => 554
[TIMESTAMP_X] => 2017-11-23 10:56:58
[IBLOCK_ID] => 73
[NAME] => Комплектуючі
[ACTIVE] => Y
[SORT] => 500
[CODE] => COMPLECTS
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] =>
[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] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Комплектуючі
[~DEFAULT_VALUE] =>
)
[PRESALE] => Array
(
[ID] => 558
[TIMESTAMP_X] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Передпродаж
[ACTIVE] => Y
[SORT] => 500
[CODE] => PRESALE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => PRESALE
[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] => Передпродаж
[~DEFAULT_VALUE] =>
)
[PLANNED_RELEASE_DATE] => Array
(
[ID] => 559
[TIMESTAMP_X] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Планова дата видання
[ACTIVE] => Y
[SORT] => 500
[CODE] => PLANNED_RELEASE_DATE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => PLANNED_RELEASE_DATE
[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] =>
[~DESCRIPTION] =>
[~NAME] => Планова дата видання
[~DEFAULT_VALUE] =>
)
[COLLECTION] => Array
(
[ID] => 564
[TIMESTAMP_X] => 2019-12-02 16:59:50
[IBLOCK_ID] => 73
[NAME] => Колекція
[ACTIVE] => Y
[SORT] => 500
[CODE] => COLLECTION
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] =>
[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] => Array
(
[0] => 132864116
)
[VALUE] => Array
(
[0] => [17] Тиждень "Історичні романи"
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] => Array
(
[0] => [17] Тиждень "Історичні романи"
)
[VALUE_XML_ID] => Array
(
[0] => 17
)
[VALUE_SORT] => Array
(
[0] => 500
)
[VALUE_ENUM_ID] => Array
(
[0] => 53
)
[~VALUE] => Array
(
[0] => [17] Тиждень "Історичні романи"
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Колекція
[~DEFAULT_VALUE] =>
)
[TRANSLATOR] => Array
(
[ID] => 570
[TIMESTAMP_X] => 2020-07-07 16:04:16
[IBLOCK_ID] => 73
[NAME] => Перекладач
[ACTIVE] => Y
[SORT] => 500
[CODE] => TRANSLATOR
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => TRANSLATOR_XML
[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] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Перекладач
[~DEFAULT_VALUE] =>
)
[NOT_SHOW_PUSH_UP] => Array
(
[ID] => 573
[TIMESTAMP_X] => 2020-07-07 16:04:16
[IBLOCK_ID] => 73
[NAME] => Не показувати push ap
[ACTIVE] => Y
[SORT] => 500
[CODE] => NOT_SHOW_PUSH_UP
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] =>
[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_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Не показувати push ap
[~DEFAULT_VALUE] =>
)
)
[DISPLAY_PROPERTIES] => Array
(
[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] => 132864099
[VALUE] => 978-966-10-1524-0
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 978-966-10-1524-0
[~DESCRIPTION] =>
[~NAME] => ISBN
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => 978-966-10-1524-0
)
[VUD_ADD] => Array
(
[ID] => 377
[TIMESTAMP_X] => 2020-08-04 17:02:23
[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] => 132864106
[VALUE] => 28453d8a-d07d-11df-92a8-001517c70544
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 28453d8a-d07d-11df-92a8-001517c70544
[~DESCRIPTION] =>
[~NAME] => Видавництво
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => Серія "Готуємось до математичних турнірів"
)
[PageAm] => Array
(
[ID] => 379
[TIMESTAMP_X] => 2020-08-04 17:02:23
[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] => 132864108
[VALUE] => 128
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 128
[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => 128
)
[CoverType] => Array
(
[ID] => 380
[TIMESTAMP_X] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Обкладинка
[ACTIVE] => Y
[SORT] => 500
[CODE] => CoverType
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[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] => 132864109
[VALUE] => М'яка
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => М'яка
[~DESCRIPTION] =>
[~NAME] => Обкладинка
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => М'яка
)
[Format] => Array
(
[ID] => 381
[TIMESTAMP_X] => 2020-08-04 17:02:23
[IBLOCK_ID] => 73
[NAME] => Формат
[ACTIVE] => Y
[SORT] => 500
[CODE] => Format
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[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] => 132864110
[VALUE] => 70х100/ 16 (170х240)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 70х100/ 16 (170х240)
[~DESCRIPTION] =>
[~NAME] => Формат
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => 170х240
)
)
[BACKGROUND_IMAGE] =>
[PRODUCT_PROPERTIES] => Array
(
)
[PRODUCT_PROPERTIES_FILL] => Array
(
)
[MORE_PHOTO] => Array
(
)
[LINKED_ELEMENTS] => Array
(
)
[SECTION] => Array
(
[ID] => 8086
[~ID] => 8086
[TIMESTAMP_X] => 22.09.2020 17:00:10
[~TIMESTAMP_X] => 22.09.2020 17:00:10
[MODIFIED_BY] => 2
[~MODIFIED_BY] => 2
[DATE_CREATE] => 18.05.2017 17:56:47
[~DATE_CREATE] => 18.05.2017 17:56:47
[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] => 120
[~SORT] => 120
[NAME] => 1 Навчальна література
[~NAME] => 1 Навчальна література
[PICTURE] =>
[~PICTURE] =>
[LEFT_MARGIN] => 2
[~LEFT_MARGIN] => 2
[RIGHT_MARGIN] => 11
[~RIGHT_MARGIN] => 11
[DEPTH_LEVEL] => 2
[~DEPTH_LEVEL] => 2
[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
[SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[~SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[CODE] =>
[~CODE] =>
[XML_ID] => e75e2210-520e-11df-a3fa-001517c70544
[~XML_ID] => e75e2210-520e-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/8086/
[~SECTION_PAGE_URL] => /catalog/8086/
[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] => e75e2210-520e-11df-a3fa-001517c70544
[~EXTERNAL_ID] => e75e2210-520e-11df-a3fa-001517c70544
[PATH] => Array
(
[0] => Array
(
[ID] => 8085
[~ID] => 8085
[TIMESTAMP_X] => 2020-09-22 17:00:10
[~TIMESTAMP_X] => 2020-09-22 17:00:10
[MODIFIED_BY] => 54908
[~MODIFIED_BY] => 54908
[DATE_CREATE] => 2017-05-18 17:56:47
[~DATE_CREATE] => 2017-05-18 17:56:47
[CREATED_BY] => 2
[~CREATED_BY] => 2
[IBLOCK_ID] => 73
[~IBLOCK_ID] => 73
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[ACTIVE] => Y
[~ACTIVE] => Y
[GLOBAL_ACTIVE] => Y
[~GLOBAL_ACTIVE] => Y
[SORT] => 110
[~SORT] => 110
[NAME] => 1 ПРОДУКЦІЯ НК-Б
[~NAME] => 1 ПРОДУКЦІЯ НК-Б
[PICTURE] =>
[~PICTURE] =>
[LEFT_MARGIN] => 1
[~LEFT_MARGIN] => 1
[RIGHT_MARGIN] => 76
[~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 {AUTHOR} | - Видавництво Богдан
)
)
[1] => Array
(
[ID] => 8086
[~ID] => 8086
[TIMESTAMP_X] => 2020-09-22 17:00:10
[~TIMESTAMP_X] => 2020-09-22 17:00:10
[MODIFIED_BY] => 2
[~MODIFIED_BY] => 2
[DATE_CREATE] => 2017-05-18 17:56:47
[~DATE_CREATE] => 2017-05-18 17:56:47
[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] => 120
[~SORT] => 120
[NAME] => 1 Навчальна література
[~NAME] => 1 Навчальна література
[PICTURE] =>
[~PICTURE] =>
[LEFT_MARGIN] => 2
[~LEFT_MARGIN] => 2
[RIGHT_MARGIN] => 11
[~RIGHT_MARGIN] => 11
[DEPTH_LEVEL] => 2
[~DEPTH_LEVEL] => 2
[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
[SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[~SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[CODE] =>
[~CODE] =>
[XML_ID] => e75e2210-520e-11df-a3fa-001517c70544
[~XML_ID] => e75e2210-520e-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/8086/
[~SECTION_PAGE_URL] => /catalog/8086/
[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] => e75e2210-520e-11df-a3fa-001517c70544
[~EXTERNAL_ID] => e75e2210-520e-11df-a3fa-001517c70544
[IPROPERTY_VALUES] => Array
(
[ELEMENT_META_TITLE] => Купити: 1 Навчальна література {AUTHOR} | - Видавництво Богдан
)
)
)
)
[CATALOG_MEASURE_RATIO] => 1
[CATALOG_MEASURE_NAME] => шт
[~CATALOG_MEASURE_NAME] => шт
[PRICE_MATRIX] =>
[PRICES] => Array
(
[гуртова] => Array
(
[VALUE_NOVAT] => 24
[PRINT_VALUE_NOVAT] => 24,00 грн
[VALUE_VAT] => 24
[PRINT_VALUE_VAT] => 24,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 24
[PRINT_DISCOUNT_VALUE_NOVAT] => 24,00 грн
[DISCOUNT_VALUE_VAT] => 24
[PRINT_DISCOUNT_VALUE_VAT] => 24,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 24
[ROUND_VALUE_NOVAT] => 24
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 118695
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 24
[PRINT_VALUE] => 24,00 грн
[UNROUND_DISCOUNT_VALUE] => 24
[DISCOUNT_VALUE] => 24
[PRINT_DISCOUNT_VALUE] => 24,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 24
[PRINT_VALUE_NOVAT] => 24,00 грн
[VALUE_VAT] => 24
[PRINT_VALUE_VAT] => 24,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 24
[PRINT_DISCOUNT_VALUE_NOVAT] => 24,00 грн
[DISCOUNT_VALUE_VAT] => 24
[PRINT_DISCOUNT_VALUE_VAT] => 24,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 24
[ROUND_VALUE_NOVAT] => 24
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 118695
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 24
[PRINT_VALUE] => 24,00 грн
[UNROUND_DISCOUNT_VALUE] => 24
[DISCOUNT_VALUE] => 24
[PRINT_DISCOUNT_VALUE] => 24,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=BUY&id=102723
[BUY_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=BUY&id=102723
[~ADD_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=ADD2BASKET&id=102723
[ADD_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=ADD2BASKET&id=102723
[LINK_URL] => link.php?PARENT_ELEMENT_ID=102723
[~SUBSCRIBE_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=SUBSCRIBE_PRODUCT&id=102723
[SUBSCRIBE_URL] => /catalog/book/102723/?IBLOCK_ID=book&SECTION_ID=102723&action=SUBSCRIBE_PRODUCT&id=102723
[OFFERS] => Array
(
)
[counterData] => Array
(
[item] => 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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 = 102723;
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] => 105159
[~ID] => 105159
[NAME] => Клочко Ігор Якович
[~NAME] => Клочко Ігор Якович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/105159/
[~DETAIL_PAGE_URL] => /author/105159/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 70c14176-466b-11df-9b46-0012f0c1528a
[~EXTERNAL_ID] => 70c14176-466b-11df-9b46-0012f0c1528a
[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] => 3413
[SEC_NAME] => Посібники для перевірки та контролю знань учнів
)
[META] => Array
(
[H1] => Нестандартна математика. Тестові завдання. 7 кл. Посіб.для підготовки до матем.турнірів та олімпіад.
[TITLE] => Нестандартна математика. Тестові завдання. 7 кл. Посіб.для підготовки до матем.турнірів та олімпіад.
)
[WO] =>
[MORE_TAB] => Array
(
[VUD_ADD] => 28453d8a-d07d-11df-92a8-001517c70544
[AUTHOR] => Array
(
[0] => 70c14176-466b-11df-9b46-0012f0c1528a
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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