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Тип работы: Все Доклад/Реферат Задача Курсовая работа Лабораторная работа Ответы на вопросы
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  • 100. Высота SO правильной пирамиды SABCD равна стороне et основания и равна а. На ребре SC взяты точки Р]9 Р2 и Р3 такие, что

    = P\Pi = Р2Р3- Рз$- Найти расстояния между прямой АС и сле­дующими прямыми: a) DP^ б) DP2; в) DP3.

  • Задача

    Формула :

    F=A*e(-µx)

    Нужно выразить

    µ=?

    и отдельно

    x=?

  • решить интеграл

  • Комбинаторные задачи. Правила суммы и произведения

    1. Объясните, почему нижеприведенные задачи являются комбинаторными и решите их методом перебора:

    а)     Для гербария Маша собрала опавшие листья клена: желтый, зеленый и красный. Покажи, в каком порядке она сможет расположить эти листья в альбоме.

    б)     Из коробки, где шесть шариков по три одного цвета, мальчик взял четыре. Какие наборы шариков могли быть у него?

    в)     Сколько двузначных чисел можно составить из цифр 1, 3 и 8?

    г)     Сколько трехзначных чисел можно составить из цифр 1, 3 и 8 при условии, что цифры в записи числа не повторяются?

     

    1. В меню содержатся 3 вида первого блюда, 5 видов второго блюда и 4 вида третьего блюда. Сколькими способами можно выбрать:

    а)     какое-нибудь оно блюдо;

    б)     полный обед из трёх блюд;

    в)     какие-нибудь 2 блюда?

  • Дисциплина: «Аналитическая геометрия»

     

    1. Даны координаты вершин треугольника ABC.  Найдите:

    1) уравнение стороны  AС;

    2) уравнение высоты, опущенной из вершины B на сторону AC (hB);

    3) уравнение медианы, проведенной из точки С к стороне ABC (mc);

    4) угол между высотой hB  и медианой  mc;

    5) координаты точки пересечения высоты hB  и медианы  mc;

    6) длину высоты ВН;

    7) длину медианы СМ.

    A (2; – 1), B (0; 3), C (4; 5).

    2. Приведите уpавнения линий втоpого поpядка к каноническому виду. Опpеделите тип кpивой, сделайте чеpтёж.

    1) 9x2 + 25y2 + 18x – 100y – 116 = 0

    2) x2 + 8x – 4y + 4 = 0.

    3. Даны координаты вершин пирамиды  A, B, C, S.  Найдите:

     

    1) уравнение основания ABC;

    2) уравнение высоты, опушенной из вершины S на грань ABC (SH);

    3) длину высоты SH;

    4) координаты основания высоты SH (проверить, что  );

    5) уравнения ребра AS;

    7) угол между ребром AS и высотой ВН с точностью до 1°;

    8) угол наклона ребра AS к основанию ABC точностью до 1°;

    A (– 1; – 5; 2)B (– 6; 0; – 3)C (3; 6; – 3)S (10; – 8; –7) .

  • Вариант 22

    1. Во взводе 25 курсантов. Сколько существует способов назначения командира взвода и его заместителя?
    2. По самолету стреляют из трех зенитно-ракетных комплексов. Вероятность попадания из первого зенитно- ракетного комплекса равна 0,6; из второго - 0,5; из третьего - 0,4. Для вывода самолета из строя достаточно трех попаданий, при двух попаданиях самолет выходит из строя с вероятностью 0,6, при одном попадании - с вероятностью 0,2. Найти вероятность того, что самолет будет выведен из строя.
    3. Вероятность попадания в мишень при одном выстреле р=0,2. Найти вероятность того, из 7 выстрелов будет не меньше 2-х и не больше 4-х попаданий.
    4. Вероятность попадания в мишень 1-го стрелка - 0,6; 2-го стрелка - 0,7. Случайная величина X - число попаданий в мишень при залпе. Найти М(Х), D(X), S(X).
  • 55В. Найдите все значения параметра а, при каждом из которых система

    Надпись: уравнений <

  • 1)     Найти угловые коэффициенты прямой линии: 15х-Зу+7=О.

    2)    Найти величины отрезков, которые отсекает прямая 4х+9у-1=0 от осей координат.

    3)    Прямая проходит через точки Mj (1,-1) и М2 (-4;4) .Найти угол, который она образует с осью ОХ.

    4)    Определить, какие из точек Mj (2;5), М2 (-1;2), М3 (4; 1) лежат на прямой:   7х-у+9=0.

    5)Даны две параллельные прямые: 4х-9у+3=0 и Зх-ау+1=О.

    Найти коэффициент «а».

    6)     Какие из них взаимно перпендикулярны:

    7х+2у-1=0; 4х-14у+2=0; 2х+7у+1=0; 7х-2у+5=0.

    7)      Определить вид кривых:

    2+2у2-4х+4у-21=0; х2+4у2+16у-1=О.

    8)      Определить вид кривых:

    2-9у2+8х-8=0; 5х-у2+2у-1=О.

    9)      Плоскость проходит через точку М (3;2;-5) и имеет нормальный вектор N = {2;-5;3}. Составить ее уравнение.

    10)      Параллельны ли плоскости.

    7x.3y+5z-8=0 и 14x-6y+Wz-3=0?

  • <img 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

  • Лабораторная работа №1

    1. Дана правильная четырёхугольная пирамида, стороны основания которой равны дм, а высота 20 дм. Найдите ребро пирамиды.

    2. Дан прямой параллелепипед боковые рёбра которого 2,5 м, стороны основания 4 и 3 м, а одна из диагоналей основания 12 м. Меньшая диагональ параллелепипеда образует с ребром при вершине угол 300 . Найдите диагональ параллелепипеда.

     3. Дана четырёхугольная пирамида, основание которой прямоугольник со сторонами 15 и 20 см. Боковые ребра пирамиды равны 25 см. Найдите высоту.

    4. В прямоугольном параллелепипеде стороны основания равны 15 и 20 дм, а высота параллелепипеда равна 20 дм. Найдите площадь диагонального сечения.

    5. В правильной усеченной пирамиде стороны оснований 25 и 15 см. Найдите боковое ребро, если оно образует с плоскостью основания угол 450.

    Лабораторная работа №2

    1. Основание прямого параллелепипеда –ромб, диагонали которого 6 и 8 см. Найдите объём параллелепипеда, если его большая диагональ образует с плоскостью основания угол 450 .

    2. Дана правильная четырёхугольная пирамида, сторона основания которой 1,8 м, а боковое ребро 4,5 м. Найдите объём пирамиды.

    3. Водоем имеет форму правильной четырехугольной усечённой пирамиды. Найдите объём земляных работ, выполненных при постройке водоёма, если длина нижнего основания 25 м, а верхнего 36 м. Глубина водоёма 2 м.

    4. Требуется покрасить 120 урн, имеющих форму прямоугольного параллелепипеда без крышки; длина, ширина основания и высота соответственно равны 30, 40 и 50 см. Сколько будет израсходовано краски, если на 1 м2 расходуется 200 г, а производственные расходы составляют 15%?

    5. Требуется сшить палатку, имеющую форму правильной четырёхугольной пирамиды сторона основания которой равна 4,5м, апофема 7,5 м. Сколько метров полотна шириной 60 см нужно израсходовать, если расходы на швы и отходы составляют 8%?

    Лабораторная работа №3

     

  • Классическим методом найти частное решение системы дифференциальных уравнений, удовлетворяющее начальным условиям.

                                                                                                                 

    Дана функция двух переменных . Найти:

    1) экстремум функции ;

    2)    в точке А(1; –2);

    3) наибольшую скорость возрастания функции  точке А(1; –2).

    .

     

    Вычислить массу материальной пластинки треугольной формы с вершинами О, А (,0) и В (0, ), поверхностная плотность которой в точке М(х.y) равна δ=х+у. Здесь n –1, а  –5.

     

    Найти вероятность безотказной работы участка цепи, если известно, что каждый  -ый  элемент работает независимо от других с вероятностью  ( = 1, 2, 3, 4, 5). .

     

     

     

     

     

    Произведена выборка 90 деталей из текущей продукции токарного автомата. Проверяемый размер деталей X измерен с точностью до одного миллиметра. Результаты измерений приведены в таблице.

    1)    Построить статистическое распределение выборки.

    2)    Выполнить точечные оценки среднего значения  и дисперсии  случайной величины .

    3)    Построить гистограмму относительных частот, установив статистический (эмпирический) закон распределения.

    4)    На том же чертеже построить кривую нормального распределения с параметрами  и  и проанализировать, хорошо ли статистические данные описываются нормальным законом распределения.

     

     

    66.52

    61.88

    62.20

    61.16

    59.32

    66.36

    63.08

    62.52

    64.76

    65.24

    60.52

    64.52

    63.64

    64.92

    66.36

    66.44

    59.80

    61.16

    59.56

    61.16

    62.60

    65.08

    63.64

    64.04

    66.44

    62.28

    62.20

    65.16

    62.28

    65.24

    63.40

    63.96

    61.48

    66.52

    64.04

    59.80

    59.64

    61.96

    65.24

    65.56

    62.68

    61.56

    63.96

    64.12

    64.36

    62.76

    60.60

    63.40

    61.64

    62.52

    65.32

    63.96

    61.40

    61.88

    63.88

    64.44

    63.00

    61.72

    64.84

    65.08

    62.52

    62.92

    59.56

    62.84

    64.12

    63.80

    62.36

    64.04

    63.24

    65.56

    63.24

    60.20

    60.44

    63.64

    62.12

    63.80

    63.00

    64.20

    63.48

    62.20

    65.88

    61.72

    61.48

    62.52

    65.48

    59.08

    61.00

    64.52

    64.44

    61.16

     

     

     

     

  • Самостоятельная работа 9. Прямая на плоскости

    1. Даны вершины треугольника A(al;a2), и С(с,;с,). Составьте уравнения .медианы, биссектрисы и высоты, проведенных из вершины А .

    2. Через точку пересечения прямых А,х + В,у + С\ = 0 и А2х + В:у + С, = 0 проведите прямую, проходящую:

    а)     через начало координат;

    б)      параллельно оси Ох;

    в)      параллельно осн Оу;

    г)      через точку ЛУ(/и,;т2).

    3. Составьте уравнения сторон треугольника, если координаты двух его вершин Л(а,;аи точка пересечения медиан М(тх2).

    Самостоятельная работа 10. Прямая на плоскости

    Задача 1. ABCD - параллелограмм, O(oito2) - точка пересечения его диагоналей, точки Л/(трт2) и ДО(лрл2) - середины сторон АВ и ВС соответственно. Найти: координаты вершин параллелограмма, общие уравнения его диагоналей, площадь треугольника DMC.

    Задача 2. ABCD - равнобедренная трапеция с основаниями АВ и CD, О - точка пересечения диагоналей. Заданы точки А(а,,а,), B(hx,h,) и С(срс2). Найти: координаты точек О и D. общее уравнение средней линии трапеции.

    Задача 3. Медианы треугольника АВС, проведенные из вершин В и С, заданы уравнениями А}х + В}у + С, = 0 и А2х + В2у + С2 = 0 соответственно, известны координаты точки А(а}2). Найти координаты точек В и С.

  • Конспект урока объяснение свойства сложения и вычитания в 1 классе

  • Задания по математика

    Вопросы ускоренники часть 1

    1. Определители 2 и 3 порядков. Формулы вычисления определителя 3 порядка путем разложения по первой строке.
    2. Уравнение прямой: общее, с угловым коэффициентом, проходящее через две заданные точки.
    3. Векторы i, j, k. Координаты вектора, действие над векторами в координатной форме, длина вектора.
    4. Скалярное произведение: определение, выражение через координаты.
    5. Векторное произведение: определение, выражение через координаты.
    6. Общее уравнение плоскости, геометрический смысл коэффициентов.
    7. Определение предела функции при стремлении аргумента к конечному пределу.
    8. Первый и второй замечательный пределы.
    9. Определение производной. Геометрической и физический смысл производной.
    10. Правила дифференцирования.
    11. Производная сложной функции.
    12. Таблица производных.
    13. Функции нескольких переменных. Частные приращения. Частные производные.
    14. Градиент функции.
    15. Первообразная: определение и свойства.
    16. Неопределенный интеграл: определение и свойства.
    17. Таблица интегралов.
    18. Замена переменной в неопределенном интеграле. Примеры.
    19. Определенный интеграл: определение, геометрический смысл.
    20. Свойства определенного интеграла. Формула Ньютона-Лейбница.