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Метод координат у геометричних задачах. Навчальний посібник
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Електронної книги немає
ISBN: 978-966-10-3232-2
Кількість сторінок: 64
Обкладинка: М'яка
Формат: 145х200
Вага: 65 г
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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 посібнику викладено суть методу координат з використанням, зокрема, так званих задач-теорем, в яких залежності між елементами геометричних фігур виражають з допомогою алгебраїчних співвідношень.
Застосування цього методу не потребує додаткових геометричних побудов і розгляду складних конфігурацій і ним можна скористатися при розв’язуванні як планіметричних, так і стереометричних задач.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування, викладачів та студентів вищих навчальних закладів.
Зміст
| Передмова
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| 1. Суть координатного методу
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| 2. Відстань між двома точками
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| 3. Рівняння прямої лінії
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| 4. Геометричне місце точок
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| 4.1. Лінії першого порядку
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| 4.2. Криві другого порядку
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| 4.3. Рівняння кола
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| 4.4. Рівняння еліпса
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| 5. Рівняння площини
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| 6. Точка перетину прямої і площини
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| 7. Площа трикутника
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| 8. Відстань від точки до прямої і площини
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| 9. Відстань між мимобіжними прямими
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| 10. Визначення величини кута |
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[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] => 132524905
[1] => 132524906
[2] => 132524907
)
[VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.065
)
[DESCRIPTION] => Array
(
[0] => ВидНоменклатуры
[1] => ТипНоменклатуры
[2] => Вес
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => Книжки
[1] => Товар
[2] => 0.065
)
[~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] => 132524908
[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] => 132524909
)
[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] => 132524910
)
[VALUE] => Array
(
[0] => 70c14175-466b-11df-9b46-0012f0c1528a
)
[DESCRIPTION] => Array
(
[0] =>
)
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => Array
(
[0] => 70c14175-466b-11df-9b46-0012f0c1528a
)
[~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] => 2020-08-04 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] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~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] => 132524911
[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] => 132524912
[VALUE] => 64
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 64
[~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] => 132524913
[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] => 132524914
[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] => 2020-08-04 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] => 132524915
[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
[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] => 3196847
[VALUE] => 762215
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] => 762215
[~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] => 3196824
[VALUE] => Array
(
[TEXT] => У посібнику викладено суть методу координат з використанням, зокрема, так званих задач-теорем, в яких залежності між елементами геометричних фігур виражають з допомогою алгебраїчних співвідношень.
Застосування цього методу не потребує додаткових геометричних побудов і розгляду складних конфігурацій і ним можна скористатися при розв’язуванні як планіметричних, так і стереометричних задач.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування, викладачів та студентів вищих навчальних закладів.
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[TEXT] => У посібнику викладено суть методу координат з використанням, зокрема, так званих задач-теорем, в яких залежності між елементами геометричних фігур виражають з допомогою алгебраїчних співвідношень.
Застосування цього методу не потребує додаткових геометричних побудов і розгляду складних конфігурацій і ним можна скористатися при розв’язуванні як планіметричних, так і стереометричних задач.
Для вчителів та учнів загальноосвітніх шкіл та профільних класів природничого та фізико-математичного спрямування, викладачів та студентів вищих навчальних закладів.
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[TIMESTAMP_X] => 2016-12-20 14:35:49
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[VERSION] => 1
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[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
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)
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[XML_ID] =>
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[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
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[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Комплектуючі
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[LINK_IBLOCK_ID] =>
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[VALUE_ENUM_ID] =>
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[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
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[~DESCRIPTION] =>
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
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[DESCRIPTION] => Array
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[0] =>
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(
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(
[0] =>
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[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Перекладач
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[XML_ID] =>
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
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[USER_TYPE_SETTINGS] =>
[HINT] =>
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[LINK_IBLOCK_ID] =>
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[VALUE_ENUM] =>
[VALUE_XML_ID] =>
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[LINK_IBLOCK_ID] =>
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[USER_TYPE_SETTINGS] =>
[HINT] =>
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[USER_TYPE_SETTINGS] =>
[HINT] =>
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[DESCRIPTION] =>
[~DESCRIPTION] =>
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[CODE] =>
[~CODE] =>
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[DETAIL_PICTURE] =>
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[SOCNET_GROUP_ID] =>
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[~DESCRIPTION] =>
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(
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[CATALOG_MEASURE_NAME] => шт
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[PRINT_VALUE_NOVAT] => 19,00 грн
[VALUE_VAT] => 19
[PRINT_VALUE_VAT] => 19,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 19
[PRINT_DISCOUNT_VALUE_NOVAT] => 19,00 грн
[DISCOUNT_VALUE_VAT] => 19
[PRINT_DISCOUNT_VALUE_VAT] => 19,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 19
[ROUND_VALUE_NOVAT] => 19
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119661
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 19
[PRINT_VALUE] => 19,00 грн
[UNROUND_DISCOUNT_VALUE] => 19
[DISCOUNT_VALUE] => 19
[PRINT_DISCOUNT_VALUE] => 19,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 19
[PRINT_VALUE_NOVAT] => 19,00 грн
[VALUE_VAT] => 19
[PRINT_VALUE_VAT] => 19,00 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 19
[PRINT_DISCOUNT_VALUE_NOVAT] => 19,00 грн
[DISCOUNT_VALUE_VAT] => 19
[PRINT_DISCOUNT_VALUE_VAT] => 19,00 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 19
[ROUND_VALUE_NOVAT] => 19
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 119661
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 19
[PRINT_VALUE] => 19,00 грн
[UNROUND_DISCOUNT_VALUE] => 19
[DISCOUNT_VALUE] => 19
[PRINT_DISCOUNT_VALUE] => 19,00 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=BUY&id=102564
[BUY_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=BUY&id=102564
[~ADD_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=ADD2BASKET&id=102564
[ADD_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=ADD2BASKET&id=102564
[LINK_URL] => link.php?PARENT_ELEMENT_ID=102564
[~SUBSCRIBE_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=SUBSCRIBE_PRODUCT&id=102564
[SUBSCRIBE_URL] => /catalog/book/102564/?IBLOCK_ID=book&SECTION_ID=102564&action=SUBSCRIBE_PRODUCT&id=102564
[OFFERS] => Array
(
)
[counterData] => Array
(
[item] => eyJwcm9kdWN0X2lkIjoiMTAyNTY0IiwiaWJsb2NrX2lkIjo3MywicHJvZHVjdF90aXRsZSI6Ilx1MDQxY1x1MDQzNVx1MDQ0Mlx1MDQzZVx1MDQzNCBcdTA0M2FcdTA0M2VcdTA0M2VcdTA0NDBcdTA0MzRcdTA0MzhcdTA0M2RcdTA0MzBcdTA0NDIgXHUwNDQzIFx1MDQzM1x1MDQzNVx1MDQzZVx1MDQzY1x1MDQzNVx1MDQ0Mlx1MDQ0MFx1MDQzOFx1MDQ0N1x1MDQzZFx1MDQzOFx1MDQ0NSBcdTA0MzdcdTA0MzBcdTA0MzRcdTA0MzBcdTA0NDdcdTA0MzBcdTA0NDUuIFx1MDQxZFx1MDQzMFx1MDQzMlx1MDQ0N1x1MDQzMFx1MDQzYlx1MDQ0Y1x1MDQzZFx1MDQzOFx1MDQzOSBcdTA0M2ZcdTA0M2VcdTA0NDFcdTA0NTZcdTA0MzFcdTA0M2RcdTA0MzhcdTA0M2EiLCJjYXRlZ29yeV9pZCI6IjgwODYiLCJjYXRlZ29yeSI6eyI4MDg1IjoiMSBcdTA0MWZcdTA0MjBcdTA0MWVcdTA0MTRcdTA0MjNcdTA0MWFcdTA0MjZcdTA0MDZcdTA0MmYgXHUwNDFkXHUwNDFhLVx1MDQxMSIsIjgwODYiOiIxIFx1MDQxZFx1MDQzMFx1MDQzMlx1MDQ0N1x1MDQzMFx1MDQzYlx1MDQ0Y1x1MDQzZFx1MDQzMCBcdTA0M2JcdTA0NTZcdTA0NDJcdTA0MzVcdTA0NDBcdTA0MzBcdTA0NDJcdTA0NDNcdTA0NDBcdTA0MzAifSwicHJpY2UiOjE5LCJjdXJyZW5jeSI6IlVBSCJ9
[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 = 102564;
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] => 104408
[~ID] => 104408
[NAME] => Возняк Ольга Григорівна
[~NAME] => Возняк Ольга Григорівна
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/104408/
[~DETAIL_PAGE_URL] => /author/104408/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 70c14175-466b-11df-9b46-0012f0c1528a
[~EXTERNAL_ID] => 70c14175-466b-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] => 3417
[SEC_NAME] => Навчальні посібники
)
[META] => Array
(
[H1] => Метод координат у геометричних задачах. Навчальний посібник
[TITLE] => Метод координат у геометричних задачах. Навчальний посібник
)
[WO] =>
[MORE_TAB] => Array
(
[VUD_ADD] =>
[AUTHOR] => Array
(
[0] => 70c14175-466b-11df-9b46-0012f0c1528a
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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