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Математичні перлини.
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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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У пропонованому посібнику представлено статті, що були в різні роки надруковані автором в періодичних спеціалізованих виданнях з математики. Посібник містить оригінальні задачі, серед яких багато авторських, та нові методи їхнього розв’язання.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
Зміст
| Від автора
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|
|
| Статті, що ввійшли у книгу
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| Тригонометричні підстановки
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|
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| 1. Підстановка x = a sin t (або x = a cos t)
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|
|
| 2. Підстановка x = a tg t (або x = a ctg t)
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|
|
| 3. Підстановка x = a / sin t (або x = a / cos t)
|
|
|
| 4. Задачі з кількома змінними
|
|
|
| Олімпіадні «ігри» з остачею від ділення
|
|
|
| Багатозначні геометричні задачі
|
|
|
| 1. Основні властивості геометричних фігур
|
|
|
| 2. Суміжні та вертикальні кути
|
|
|
| 3. Ознаки рівності трикутників
|
|
|
| 4. Сума кутів трикутника
|
|
|
| 5. Геометричні побудови
|
|
|
| Обернені тригонометричні функції:
|
|
|
| самостійне плавання на вступному іспиті
|
|
|
| 1. Основні властивості обернених тригонометричних
|
|
|
| функцій
|
|
|
| 2. Обчислення значень виразів, що містять обернені
|
|
|
| тригонометричні функції
|
|
|
| 3. Рівняння
|
|
|
| 4. Нерівності
|
|
|
| Вправи для самостійного виконання
|
|
|
| Відповіді
|
|
|
| Задачі-близнюки
|
|
|
| Формули переходу між кутами правильної піраміди
|
|
|
| Вправи
|
|
|
| Відповіді
|
|
|
| Текстові задачі на рух: кількість невідомих більша від кіль
|
|
|
| кості рівнянь
|
|
|
| Вправи
|
|
|
| Відповіді
|
|
|
| Математичний футбол (сценарій гри)
|
|
|
| Правила гри
|
|
|
| Запитання для гри
|
|
|
| 1-й тайм
|
|
|
| 2-й тайм
|
|
|
| Пенальті
|
|
|
| Розв’язування рівнянь, що містять комбінаторні вирази
|
|
|
| Вправи
|
|
|
| Відповіді
|
|
|
| Розв’язування комбінаторних задач з допомогою рівнянь
|
|
|
| Вправи
|
|
|
| Відповіді |
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|
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(
[0] => Від автора
[1] =>
[2] => Статті, що ввійшли у книгу
[3] =>
[4] => Тригонометричні підстановки
[5] =>
[6] => 1. Підстановка x = a sin t (або x = a cos t)
[7] =>
[8] => 2. Підстановка x = a tg t (або x = a ctg t)
[9] =>
[10] => 3. Підстановка x = a / sin t (або x = a / cos t)
[11] =>
[12] => 4. Задачі з кількома змінними
[13] =>
[14] => Олімпіадні «ігри» з остачею від ділення
[15] =>
[16] => Багатозначні геометричні задачі
[17] =>
[18] => 1. Основні властивості геометричних фігур
[19] =>
[20] => 2. Суміжні та вертикальні кути
[21] =>
[22] => 3. Ознаки рівності трикутників
[23] =>
[24] => 4. Сума кутів трикутника
[25] =>
[26] => 5. Геометричні побудови
[27] =>
[28] => Обернені тригонометричні функції:
[29] =>
[30] => самостійне плавання на вступному іспиті
[31] =>
[32] => 1. Основні властивості обернених тригонометричних
[33] =>
[34] => функцій
[35] =>
[36] => 2. Обчислення значень виразів, що містять обернені
[37] =>
[38] => тригонометричні функції
[39] =>
[40] => 3. Рівняння
[41] =>
[42] => 4. Нерівності
[43] =>
[44] => Вправи для самостійного виконання
[45] =>
[46] => Відповіді
[47] =>
[48] => Задачі-близнюки
[49] =>
[50] => Формули переходу між кутами правильної піраміди
[51] =>
[52] => Вправи
[53] =>
[54] => Відповіді
[55] =>
[56] => Текстові задачі на рух: кількість невідомих більша від кіль
[57] =>
[58] => кості рівнянь
[59] =>
[60] => Вправи
[61] =>
[62] => Відповіді
[63] =>
[64] => Математичний футбол (сценарій гри)
[65] =>
[66] => Правила гри
[67] =>
[68] => Запитання для гри
[69] =>
[70] => 1-й тайм
[71] =>
[72] => 2-й тайм
[73] =>
[74] => Пенальті
[75] =>
[76] => Розв’язування рівнянь, що містять комбінаторні вирази
[77] =>
[78] => Вправи
[79] =>
[80] => Відповіді
[81] =>
[82] => Розв’язування комбінаторних задач з допомогою рівнянь
[83] =>
[84] => Вправи
[85] =>
[86] => Відповіді
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[TEXT] => Від автора
Статті, що ввійшли у книгу
Тригонометричні підстановки
1. Підстановка x = a sin t (або x = a cos t)
2. Підстановка x = a tg t (або x = a ctg t)
3. Підстановка x = a / sin t (або x = a / cos t)
4. Задачі з кількома змінними
Олімпіадні «ігри» з остачею від ділення
Багатозначні геометричні задачі
1. Основні властивості геометричних фігур
2. Суміжні та вертикальні кути
3. Ознаки рівності трикутників
4. Сума кутів трикутника
5. Геометричні побудови
Обернені тригонометричні функції:
самостійне плавання на вступному іспиті
1. Основні властивості обернених тригонометричних
функцій
2. Обчислення значень виразів, що містять обернені
тригонометричні функції
3. Рівняння
4. Нерівності
Вправи для самостійного виконання
Відповіді
Задачі-близнюки
Формули переходу між кутами правильної піраміди
Вправи
Відповіді
Текстові задачі на рух: кількість невідомих більша від кіль
кості рівнянь
Вправи
Відповіді
Математичний футбол (сценарій гри)
Правила гри
Запитання для гри
1-й тайм
2-й тайм
Пенальті
Розв’язування рівнянь, що містять комбінаторні вирази
Вправи
Відповіді
Розв’язування комбінаторних задач з допомогою рівнянь
Вправи
Відповіді
[TYPE] => HTML
)
[~DESCRIPTION] =>
[~NAME] => Зміст
[~DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
)
[OSNOVNYY_KANAL_PRODAZHU] => Array
(
[ID] => 572
[TIMESTAMP_X] => 2020-07-07 16:04:16
[IBLOCK_ID] => 73
[NAME] => Основний канал продажу
[ACTIVE] => Y
[SORT] => 200
[CODE] => OSNOVNYY_KANAL_PRODAZHU
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => 7fa124ea-bac6-11ea-80c9-00155d0a5303
[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] => Основний канал продажу
[~DEFAULT_VALUE] =>
)
[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] => 126642168
[VALUE] => 978-966-10-2986-5
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 978-966-10-2986-5
[~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] => 126642169
[1] => 126642170
[2] => 126642171
)
[VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.085
)
[DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.085
)
[~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] => 126642172
[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] => 126642173
)
[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] => 2020-07-07 17:02:58
[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] => 126642174
)
[VALUE] => Array
(
[0] => 4bac5860-a92e-11df-92a8-001517c70544
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 4bac5860-a92e-11df-92a8-001517c70544
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~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] => 2020-07-07 17:02:58
[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] => 126642175
[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] => 126642176
[VALUE] => 3062
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 3062
[~DESCRIPTION] =>
[~NAME] => Видавництво назва
[~DEFAULT_VALUE] =>
)
[PageAm] => Array
(
[ID] => 379
[TIMESTAMP_X] => 2020-07-07 17:02:58
[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] => 126642177
[VALUE] => 88
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 88
[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
)
[CoverType] => Array
(
[ID] => 380
[TIMESTAMP_X] => 2020-07-07 17:02:58
[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] => 126642178
[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] => 2020-07-07 17:02:58
[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] => 126642179
[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] => 2020-07-07 17:02:58
[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] => 126642180
[VALUE] => -
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => -
[~DESCRIPTION] =>
[~NAME] => Рік видання
[~DEFAULT_VALUE] =>
)
[NEW] => Array
(
[ID] => 383
[TIMESTAMP_X] => 2020-07-07 17:02:58
[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
[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] => 3196844
[VALUE] => 762220
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 762220
[~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
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => ANNOTACIA
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[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] => 3196816
[VALUE] => Array
(
[TEXT] => У пропонованому посібнику представлено статті, що були в різні роки надруковані автором в періодичних спеціалізованих виданнях з математики. Посібник містить оригінальні задачі, серед яких багато авторських, та нові методи їхнього розв’язання.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
<div style='text-align:center;'>
<iframe width="560" height="315" src="//www.youtube.com/embed/e75TWu2N5Q0" frameborder="0" allowfullscreen></iframe>
</div>
[TYPE] => HTML
)
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[TEXT] => У пропонованому посібнику представлено статті, що були в різні роки надруковані автором в періодичних спеціалізованих виданнях з математики. Посібник містить оригінальні задачі, серед яких багато авторських, та нові методи їхнього розв’язання.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування.
[TYPE] => HTML
)
[~DESCRIPTION] =>
[~NAME] => Аннотація
[~DEFAULT_VALUE] => Array
(
[TEXT] =>
[TYPE] => HTML
)
)
[SALE] => Array
(
[ID] => 399
[TIMESTAMP_X] => 2020-07-07 17:02:58
[IBLOCK_ID] => 73
[NAME] => Розпродаж
[ACTIVE] => Y
[SORT] => 500
[CODE] => SALE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => SALE
[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] => Розпродаж
[~DEFAULT_VALUE] =>
)
[BOOKS_IN_PRINT] => Array
(
[ID] => 400
[TIMESTAMP_X] => 2020-07-07 17:02:58
[IBLOCK_ID] => 73
[NAME] => Готується до друку
[ACTIVE] => Y
[SORT] => 500
[CODE] => BOOKS_IN_PRINT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => BOOKS_IN_PRINT
[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] => Готується до друку
[~DEFAULT_VALUE] =>
)
[TOP20] => Array
(
[ID] => 401
[TIMESTAMP_X] => 2014-04-02 15:45:22
[IBLOCK_ID] => 73
[NAME] => Топ 20
[ACTIVE] => Y
[SORT] => 500
[CODE] => TOP20
[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] => 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] => Топ 20
[~DEFAULT_VALUE] =>
)
[CML2_ROZDIL] => Array
(
[ID] => 433
[TIMESTAMP_X] => 2015-09-28 17:26:38
[IBLOCK_ID] => 73
[NAME] => Класифікатор (Розділ)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_ROZDIL
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_ROZDIL_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 84
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 126642181
)
[VALUE] => Array
(
[0] => 3417
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 3417
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор (Розділ)
[~DEFAULT_VALUE] =>
)
[NEW_SORT] => Array
(
[ID] => 443
[TIMESTAMP_X] => 2014-06-24 10:47:57
[IBLOCK_ID] => 73
[NAME] => Сортування (змінюється автоматично)
[ACTIVE] => Y
[SORT] => 500
[CODE] => NEW_SORT
[DEFAULT_VALUE] => 1000
[PROPERTY_TYPE] => S
[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] => 3629581
[VALUE] => 1000
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 1000
[~DESCRIPTION] =>
[~NAME] => Сортування (змінюється автоматично)
[~DEFAULT_VALUE] => 1000
)
[GRYPH_MON] => Array
(
[ID] => 444
[TIMESTAMP_X] => 2020-07-07 17:02:58
[IBLOCK_ID] => 73
[NAME] => Гриф МОН
[ACTIVE] => Y
[SORT] => 500
[CODE] => GRYPH_MON
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => GRYPH_MON
[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] => Гриф МОН
[~DEFAULT_VALUE] =>
)
[SHOW_FROM_ORDER_FORM] => Array
(
[ID] => 445
[TIMESTAMP_X] => 2014-08-12 12:11:25
[IBLOCK_ID] => 73
[NAME] => Показувати на сторінці оформлення замовлення
[ACTIVE] => Y
[SORT] => 500
[CODE] => SHOW_FROM_ORDER_FORM
[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] => Показувати на сторінці оформлення замовлення
[~DEFAULT_VALUE] =>
)
[EBOOK_LINK] => Array
(
[ID] => 446
[TIMESTAMP_X] => 2014-08-13 14:14:12
[IBLOCK_ID] => 73
[NAME] => Кнопка ebook
[ACTIVE] => Y
[SORT] => 500
[CODE] => EBOOK_LINK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[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] =>
[~DESCRIPTION] =>
[~NAME] => Кнопка ebook
[~DEFAULT_VALUE] =>
)
[MASTERTOOL_LINK] => Array
(
[ID] => 447
[TIMESTAMP_X] => 2014-08-13 14:14:12
[IBLOCK_ID] => 73
[NAME] => Кнопка MasterTool
[ACTIVE] => Y
[SORT] => 500
[CODE] => MASTERTOOL_LINK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[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] =>
[~DESCRIPTION] =>
[~NAME] => Кнопка MasterTool
[~DEFAULT_VALUE] =>
)
[MORE_BOOK] => Array
(
[ID] => 448
[TIMESTAMP_X] => 2014-08-14 10:21:27
[IBLOCK_ID] => 73
[NAME] => З цією книгою купують
[ACTIVE] => Y
[SORT] => 500
[CODE] => MORE_BOOK
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => E
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] =>
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 73
[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] => З цією книгою купують
[~DEFAULT_VALUE] =>
)
[SPEC_PROP] => Array
(
[ID] => 449
[TIMESTAMP_X] => 2020-07-07 17:02:58
[IBLOCK_ID] => 73
[NAME] => Спец. пропозиція для членів клубу
[ACTIVE] => Y
[SORT] => 500
[CODE] => SPEC_PROP
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => SPEC_PROP
[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] => Спец. пропозиція для членів клубу
[~DEFAULT_VALUE] =>
)
[CML2_MANUFACTURER] => Array
(
[ID] => 457
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Производитель
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_MANUFACTURER
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => L
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_MANUFACTURER
[FILE_TYPE] =>
[MULTIPLE_CNT] => 1
[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] => Производитель
[~DEFAULT_VALUE] =>
)
[CML2_M_CLASS] => Array
(
[ID] => 466
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Навчальний клас)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_CLASS
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_CLASS_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 90
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 126642182
)
[VALUE] => Array
(
[0] => 6323
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 6323
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Навчальний клас)
[~DEFAULT_VALUE] =>
)
[CML2_M_SUBJECT] => Array
(
[ID] => 467
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Навчальний предмет)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_SUBJECT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_SUBJECT_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 91
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 126642183
)
[VALUE] => Array
(
[0] => 6327
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 6327
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Навчальний предмет)
[~DEFAULT_VALUE] =>
)
[CML2_M_TYPE] => Array
(
[ID] => 468
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) Тип книги)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_TYPE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_TYPE_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 92
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
(
[0] => 126642184
)
[VALUE] => Array
(
[0] => 7946
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 7946
)
[~DESCRIPTION] => Array
(
[0] =>
)
[~NAME] => Класифікатор ((М) Тип книги)
[~DEFAULT_VALUE] =>
)
[CML2_M_GRN] => Array
(
[ID] => 471
[TIMESTAMP_X] => 2016-12-20 14:35:49
[IBLOCK_ID] => 73
[NAME] => Класифікатор ((М) До 15 грн)
[ACTIVE] => Y
[SORT] => 500
[CODE] => CML2_M_GRN
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => G
[ROW_COUNT] => 1
[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => CML2_M_GRN_XML
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[~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] => 8086
[~ID] => 8086
[TIMESTAMP_X] => 2020-07-08 17:00:07
[~TIMESTAMP_X] => 2020-07-08 17:00:07
[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 - Навчальна книга "Богдан"
)
)
)
)
[CATALOG_MEASURE_RATIO] => 1
[CATALOG_MEASURE_NAME] => шт
[~CATALOG_MEASURE_NAME] => шт
[PRICE_MATRIX] =>
[PRICES] => Array
(
[гуртова] => Array
(
[VALUE_NOVAT] => 13
[PRINT_VALUE_NOVAT] => 13,00 грн
[VALUE_VAT] => 13
[PRINT_VALUE_VAT] => 13,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 13
[PRINT_DISCOUNT_VALUE_NOVAT] => 13,00 грн
[DISCOUNT_VALUE_VAT] => 13
[PRINT_DISCOUNT_VALUE_VAT] => 13,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 13
[ROUND_VALUE_NOVAT] => 13
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119670
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 13
[PRINT_VALUE] => 13,00 грн
[UNROUND_DISCOUNT_VALUE] => 13
[DISCOUNT_VALUE] => 13
[PRINT_DISCOUNT_VALUE] => 13,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 13
[PRINT_VALUE_NOVAT] => 13,00 грн
[VALUE_VAT] => 13
[PRINT_VALUE_VAT] => 13,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 13
[PRINT_DISCOUNT_VALUE_NOVAT] => 13,00 грн
[DISCOUNT_VALUE_VAT] => 13
[PRINT_DISCOUNT_VALUE_VAT] => 13,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 13
[ROUND_VALUE_NOVAT] => 13
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119670
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 13
[PRINT_VALUE] => 13,00 грн
[UNROUND_DISCOUNT_VALUE] => 13
[DISCOUNT_VALUE] => 13
[PRINT_DISCOUNT_VALUE] => 13,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=BUY&id=102553
[BUY_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=BUY&id=102553
[~ADD_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=ADD2BASKET&id=102553
[ADD_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=ADD2BASKET&id=102553
[LINK_URL] => link.php?PARENT_ELEMENT_ID=102553
[~SUBSCRIBE_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=SUBSCRIBE_PRODUCT&id=102553
[SUBSCRIBE_URL] => /catalog/book/102553/?IBLOCK_ID=book&SECTION_ID=102553&action=SUBSCRIBE_PRODUCT&id=102553
[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 = 102553;
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] => 105178
[~ID] => 105178
[NAME] => Істер Олександр Семенович
[~NAME] => Істер Олександр Семенович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/105178/
[~DETAIL_PAGE_URL] => /author/105178/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 4bac5860-a92e-11df-92a8-001517c70544
[~EXTERNAL_ID] => 4bac5860-a92e-11df-92a8-001517c70544
[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] => 3417
[SEC_NAME] => Навчальні посібники
)
[META] => Array
(
[H1] => Математичні перлини.
[TITLE] => Математичні перлини.
)
[WO] =>
[MORE_TAB] => Array
(
[VUD_ADD] => 28453d8b-d07d-11df-92a8-001517c70544
[AUTHOR] => Array
(
[0] => 4bac5860-a92e-11df-92a8-001517c70544
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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