Files
Learn_System/backend/scripts/exam-textbook-sections.json
Maxim Dolgolyov c9f3eed8ed fix(exam): классификатор § — fallback при 0 совпадений + учёт opts_json; таксономия в репо
- classify(): bestScore стартует с 0 (нужно совпадение>0), иначе берётся явный fallback
  (последнее правило), а не первое. Чинит свал theory-statements→§15 и word-problems→проценты.
- optsText(): анализ текста вариантов ответа (формат пар [label, html]) — theory-statements
  размечаются по содержанию утверждений.
- alg-word-problems fallback → algebra-7-ch3 §16 (задачи уравнением), не проценты.
- Таксономия §: перенесена с gitignore-пути data/ на отслеживаемый
  backend/scripts/exam-textbook-sections.json + генератор gen-exam-textbook-sections.js.
- Результат: 784/800 (98%) размечено, спреды по подтемам корректны.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-03 16:29:40 +03:00

1559 lines
39 KiB
JSON
Raw Permalink Blame History

This file contains ambiguous Unicode characters
This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.
[
{
"book": "math-5",
"chapter_slug": "math-5-ch1",
"subject": "math",
"grade": 5,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-5",
"chapter_slug": "math-5-ch2",
"subject": "math",
"grade": 5,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-5",
"chapter_slug": "math-5-ch3",
"subject": "math",
"grade": 5,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch1",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch2",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch3",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch4",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch5",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "math-6",
"chapter_slug": "math-6-ch6",
"subject": "math",
"grade": 6,
"engine": "math6",
"note": "paras in window.M6 config; anchors sec-<p.id>"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch1",
"subject": "algebra",
"grade": 7,
"para_id": "p1",
"num": "§ 1",
"title": "Степень с натуральным показателем и её свойства"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch1",
"subject": "algebra",
"grade": 7,
"para_id": "p2",
"num": "§ 2",
"title": "Степень с целым показателем и её свойства"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch1",
"subject": "algebra",
"grade": 7,
"para_id": "p3",
"num": "§ 3",
"title": "Стандартный вид числа"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p4",
"num": "§ 4",
"title": "Числовые выражения и выражения с переменными"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p5",
"num": "§ 5",
"title": "Тождество. Тождественные преобразования"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p6",
"num": "§ 6",
"title": "Одночлен. Стандартный вид. Степень"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p7",
"num": "§ 7",
"title": "Действия с одночленами"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p8",
"num": "§ 8",
"title": "Многочлен. Стандартный вид. Степень"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p9",
"num": "§ 9",
"title": "Сложение и вычитание многочленов"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p10",
"num": "§ 10",
"title": "Умножение и деление многочлена на одночлен"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p11",
"num": "§ 11",
"title": "Умножение многочленов"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p12",
"num": "§ 12",
"title": "Квадрат суммы и квадрат разности"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p13",
"num": "§ 13",
"title": "Разность квадратов: (ab)(a+b) = a\\xB2b\\xB2"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch2",
"subject": "algebra",
"grade": 7,
"para_id": "p14",
"num": "§ 14",
"title": "Разложение многочлена на множители"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p15",
"num": "§ 15",
"title": "Линейные уравнения с одной переменной"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p16",
"num": "§ 16",
"title": "Решение текстовых задач с помощью уравнений"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p17",
"num": "§ 17",
"title": "Числовые неравенства и их свойства"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p18",
"num": "§ 18",
"title": "Линейные неравенства с одной переменной"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p19",
"num": "§ 19",
"title": "Функция"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch3",
"subject": "algebra",
"grade": 7,
"para_id": "p20",
"num": "§ 20",
"title": "Линейная функция и её свойства"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch4",
"subject": "algebra",
"grade": 7,
"para_id": "p21",
"num": "§ 21",
"title": "Линейное уравнение с двумя переменными"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch4",
"subject": "algebra",
"grade": 7,
"para_id": "p22",
"num": "§ 22",
"title": "График линейного уравнения $ax + by = c$"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch4",
"subject": "algebra",
"grade": 7,
"para_id": "p23",
"num": "§ 23",
"title": "Система линейных уравнений с двумя переменными"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch4",
"subject": "algebra",
"grade": 7,
"para_id": "p24",
"num": "§ 24",
"title": "Способы решения системы (подстановка, сложение)"
},
{
"book": "algebra-7",
"chapter_slug": "algebra-7-ch4",
"subject": "algebra",
"grade": 7,
"para_id": "p25",
"num": "§ 25",
"title": "Решение текстовых задач с помощью системы"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p1",
"num": "§ 1",
"title": "Повторение материала 5-6 классов"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p2",
"num": "§ 2",
"title": "Предмет геометрии"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p3",
"num": "§ 3",
"title": "Прямая. Луч. Отрезок. Ломаная"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p4",
"num": "§ 4",
"title": "Окружность и круг"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p5",
"num": "§ 5",
"title": "Угол. Виды углов"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p6",
"num": "§ 6",
"title": "Смежные углы. Вертикальные углы"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch1",
"subject": "geometry",
"grade": 7,
"para_id": "p7",
"num": "§ 7",
"title": "Перпендикулярные прямые"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p8",
"num": "§ 8",
"title": "Треугольники"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p9",
"num": "§ 9",
"title": "Первый и второй признаки равенства"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p10",
"num": "§ 10",
"title": "Высота, медиана и биссектриса треугольника"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p11",
"num": "§ 11",
"title": "Равнобедренный треугольник"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p12",
"num": "§ 12",
"title": "Признаки равнобедренного треугольника"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p13",
"num": "§ 13",
"title": "Третий признак равенства треугольников"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch2",
"subject": "geometry",
"grade": 7,
"para_id": "p14",
"num": "§ 14",
"title": "Серединный перпендикуляр к отрезку"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch3",
"subject": "geometry",
"grade": 7,
"para_id": "p15",
"num": "§ 15",
"title": "Признаки параллельности прямых"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch3",
"subject": "geometry",
"grade": 7,
"para_id": "p16",
"num": "§ 16",
"title": "Аксиома параллельных прямых"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch3",
"subject": "geometry",
"grade": 7,
"para_id": "p17",
"num": "§ 17",
"title": "Свойства параллельных прямых"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch3",
"subject": "geometry",
"grade": 7,
"para_id": "p18",
"num": "§ 18",
"title": "Углы со сторонами, соответственно параллельными или перпендикулярными"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p19",
"num": "§ 19",
"title": "Сумма углов треугольника"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p20",
"num": "§ 20",
"title": "Внешний угол треугольника"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p21",
"num": "§ 21",
"title": "Соотношения между сторонами и углами"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p22",
"num": "§ 22",
"title": "Неравенство треугольника"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p23",
"num": "§ 23",
"title": "Прямоугольные треугольники"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p24",
"num": "§ 24",
"title": "Признаки равенства прямоугольных треугольников"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p25",
"num": "§ 25",
"title": "Биссектриса угла как ГМТ"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch4",
"subject": "geometry",
"grade": 7,
"para_id": "p26",
"num": "§ 26",
"title": "Свойство катета против угла 30°"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch5",
"subject": "geometry",
"grade": 7,
"para_id": "p27",
"num": "§ 27",
"title": "Простейшие построения"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch5",
"subject": "geometry",
"grade": 7,
"para_id": "p28",
"num": "§ 28",
"title": "Построение треугольника по 3 сторонам"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch5",
"subject": "geometry",
"grade": 7,
"para_id": "p29",
"num": "§ 29",
"title": "Построение биссектрисы угла"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch5",
"subject": "geometry",
"grade": 7,
"para_id": "p30",
"num": "§ 30",
"title": "Середина и перпендикуляр"
},
{
"book": "geometry-7",
"chapter_slug": "geometry-7-ch5",
"subject": "geometry",
"grade": 7,
"para_id": "p31",
"num": "§ 31",
"title": "Метод геометрических мест точек"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Квадратный корень из числа. Арифметический квадратный корень"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Множество иррациональных чисел. Множество действительных чисел"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p3",
"num": "§ 3",
"title": "Свойства квадратных корней"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p4",
"num": "§ 4",
"title": "Применение свойств квадратных корней"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p5",
"num": "§ 5",
"title": "Числовые промежутки. Объединение и пересечение"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch1",
"subject": "algebra",
"grade": 8,
"para_id": "p6",
"num": "§ 6",
"title": "Системы и совокупности линейных неравенств. Двойные неравенства"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p7",
"num": "§ 7",
"title": "Квадратные уравнения. Решение неполных квадратных уравнений"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Формулы корней квадратного уравнения"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Теорема Виета"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p10",
"num": "§ 10",
"title": "Квадратный трёхчлен. Разложение на множители"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p11",
"num": "§ 11",
"title": "Решение текстовых задач с помощью квадратных уравнений"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch2",
"subject": "algebra",
"grade": 8,
"para_id": "p12",
"num": "§ 12",
"title": "Целые рациональные уравнения, сводящиеся к квадратным"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p13",
"num": "§ 13",
"title": "Числовые неравенства и их свойства"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p14",
"num": "§ 14",
"title": "Сложение и умножение числовых неравенств. Оценка значений"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p15",
"num": "§ 15",
"title": "Числовые промежутки. Линейные неравенства"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p16",
"num": "§ 16",
"title": "Системы и совокупности линейных неравенств"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p17",
"num": "§ 17",
"title": "Квадратные неравенства. Метод интервалов"
},
{
"book": "algebra-8",
"chapter_slug": "algebra-8-ch3",
"subject": "algebra",
"grade": 8,
"para_id": "p18",
"num": "§ 18",
"title": "Дробно-рациональные неравенства"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Выпуклые многоугольники. Диагональ. Периметр"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Сумма углов выпуклого многоугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p3",
"num": "§ 3",
"title": "Сумма внешних углов выпуклого многоугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p4",
"num": "§ 4",
"title": "Параллелограмм"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p5",
"num": "§ 5",
"title": "Свойства параллелограмма"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p6",
"num": "§ 6",
"title": "Признаки параллелограмма"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p7",
"num": "§ 7",
"title": "Прямоугольник. Свойство диагоналей"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Признак прямоугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Ромб. Свойство диагоналей ромба. Признаки ромба"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p10",
"num": "§ 10",
"title": "Квадрат. Свойства квадрата"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p11",
"num": "§ 11",
"title": "Теорема Фалеса. Деление отрезка на равные части"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p12",
"num": "§ 12",
"title": "Свойство медиан треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p13",
"num": "§ 13",
"title": "Свойство средней линии треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p14",
"num": "§ 14",
"title": "Трапеция. Свойство средней линии"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p15",
"num": "§ 15",
"title": "Свойство углов и диагоналей равнобедренной трапеции"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch1",
"subject": "geometry",
"grade": 8,
"para_id": "p16",
"num": "§ 16",
"title": "Признаки равнобедренной трапеции"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Площадь квадрата"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Площадь прямоугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p3",
"num": "§ 3",
"title": "Площадь параллелограмма"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p4",
"num": "§ 4",
"title": "Площадь треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p5",
"num": "§ 5",
"title": "Площадь трапеции"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p6",
"num": "§ 6",
"title": "Площадь ромба"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p7",
"num": "§ 7",
"title": "Площадь прямоугольного треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Высота, проведённая к гипотенузе"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Треугольники с общей высотой"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p10",
"num": "§ 10",
"title": "Свойства медианы для площадей"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p11",
"num": "§ 11",
"title": "Теорема Пифагора"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p12",
"num": "§ 12",
"title": "S и h равностороннего треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p13",
"num": "§ 13",
"title": "Диагональ квадрата"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p14",
"num": "§ 14",
"title": "Обратная теорема Пифагора"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p15",
"num": "§ 15",
"title": "Пифагоровы тройки"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Теорема Фалеса (обобщённая)"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Деление отрезка в отношении m : n"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p3",
"num": "§ 3",
"title": "Определение подобных треугольников"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p4",
"num": "§ 4",
"title": "Свойство прямой, параллельной стороне треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p5",
"num": "§ 5",
"title": "Первый признак подобия. Следствие"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p6",
"num": "§ 6",
"title": "Второй признак подобия"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p7",
"num": "§ 7",
"title": "Третий признак подобия"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Свойство биссектрисы треугольника"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch3",
"subject": "geometry",
"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Отношение площадей подобных треугольников"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Касательная. Признак касательной"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Свойство касательной"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p3",
"num": "§ 3",
"title": "Свойство касательных из одной точки"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p4",
"num": "§ 4",
"title": "Построение касательной"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p5",
"num": "§ 5",
"title": "Свойство окружностей, вписанных в угол"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p6",
"num": "§ 6",
"title": "Взаимное расположение окружностей"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p7",
"num": "§ 7",
"title": "Длина общей внешней касательной"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Центральный угол. Градусная мера дуги. Вписанный угол"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Свойство вписанного угла"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p10",
"num": "§ 10",
"title": "Вписанные углы, опирающиеся на одну дугу"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p11",
"num": "§ 11",
"title": "Вписанный угол, опирающийся на диаметр"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p12",
"num": "§ 12",
"title": "Угол между касательной и хордой"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p13",
"num": "§ 13",
"title": "Угол между хордами"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p14",
"num": "§ 14",
"title": "Угол между секущими"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p15",
"num": "§ 15",
"title": "Свойство пересекающихся хорд"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
"grade": 8,
"para_id": "p16",
"num": "§ 16",
"title": "Свойство касательной и секущей"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch1",
"subject": "algebra",
"grade": 9,
"para_id": "p1",
"num": "§ 1",
"title": "Рациональная дробь"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch1",
"subject": "algebra",
"grade": 9,
"para_id": "p2",
"num": "§ 2",
"title": "Основное свойство дроби"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch1",
"subject": "algebra",
"grade": 9,
"para_id": "p3",
"num": "§ 3",
"title": "Сложение и вычитание"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch1",
"subject": "algebra",
"grade": 9,
"para_id": "p4",
"num": "§ 4",
"title": "Умножение и деление"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch1",
"subject": "algebra",
"grade": 9,
"para_id": "p5",
"num": "§ 5",
"title": "Преобразование выражений"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch2",
"subject": "algebra",
"grade": 9,
"para_id": "p6",
"num": "§ 6",
"title": "Функция числового аргумента"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch2",
"subject": "algebra",
"grade": 9,
"para_id": "p7",
"num": "§ 7",
"title": "Свойства функции"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch2",
"subject": "algebra",
"grade": 9,
"para_id": "p8",
"num": "§ 8",
"title": "Чётные и нечётные функции"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch2",
"subject": "algebra",
"grade": 9,
"para_id": "p9",
"num": "§ 9",
"title": "Сдвиги графиков"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch3",
"subject": "algebra",
"grade": 9,
"para_id": "p10",
"num": "§ 10",
"title": "Дробно-рациональные уравнения"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch3",
"subject": "algebra",
"grade": 9,
"para_id": "p11",
"num": "§ 11",
"title": "Системы нелинейных уравнений"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch3",
"subject": "algebra",
"grade": 9,
"para_id": "p12",
"num": "§ 12",
"title": "Уравнение окружности"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch3",
"subject": "algebra",
"grade": 9,
"para_id": "p13",
"num": "§ 13",
"title": "Метод интервалов"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p14",
"num": "§ 14",
"title": "Числовая последовательность"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p15",
"num": "§ 15",
"title": "Арифметическая прогрессия"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p16",
"num": "§ 16",
"title": "Сумма арифм. прогрессии"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p17",
"num": "§ 17",
"title": "Геометрическая прогрессия"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p18",
"num": "§ 18",
"title": "Сумма геом. прогрессии"
},
{
"book": "algebra-9",
"chapter_slug": "algebra-9-ch4",
"subject": "algebra",
"grade": 9,
"para_id": "p19",
"num": "§ 19",
"title": "Бесконечно убывающая"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p1",
"num": "§ 1",
"title": "sin, cos, tg, ctg острого угла"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p2",
"num": "§ 2",
"title": "Решение прямоугольного треугольника"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p3",
"num": "§ 3",
"title": "Тригонометрические формулы"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p4",
"num": "§ 4",
"title": "sin, cos, tg, ctg тупого угла"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p5",
"num": "§ 5",
"title": "Формулы площади"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch1",
"subject": "geometry",
"grade": 9,
"para_id": "p6",
"num": "§ 6",
"title": "Среднее геометрическое"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch2",
"subject": "geometry",
"grade": 9,
"para_id": "p7",
"num": "§ 7",
"title": "Описанная и вписанная окружности треугольника"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch2",
"subject": "geometry",
"grade": 9,
"para_id": "p8",
"num": "§ 8",
"title": "Окружности прямоугольного треугольника"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch2",
"subject": "geometry",
"grade": 9,
"para_id": "p9",
"num": "§ 9",
"title": "Вписанные и описанные четырёхугольники"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch3",
"subject": "geometry",
"grade": 9,
"para_id": "p10",
"num": "§ 10",
"title": "Теорема синусов"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch3",
"subject": "geometry",
"grade": 9,
"para_id": "p11",
"num": "§ 11",
"title": "Теорема косинусов"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch3",
"subject": "geometry",
"grade": 9,
"para_id": "p12",
"num": "§ 12",
"title": "Формула Герона. Решение треугольников"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch4",
"subject": "geometry",
"grade": 9,
"para_id": "p13",
"num": "§ 13",
"title": "Правильные многоугольники"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch4",
"subject": "geometry",
"grade": 9,
"para_id": "p14",
"num": "§ 14",
"title": "Формулы радиусов"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch4",
"subject": "geometry",
"grade": 9,
"para_id": "p15",
"num": "§ 15",
"title": "Треугольник, квадрат, шестиугольник"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch4",
"subject": "geometry",
"grade": 9,
"para_id": "p16",
"num": "§ 16",
"title": "Длина окружности и площадь круга"
}
]