2015-04-12
2057
Даны координаты вершин пирамиды А1, А2, А3, А4. Построить пирамиду.
Найти: 1) длину ребра А1А2;
2) угол между ребрами А1А2 и А1А4;
3) угол между ребром А1А4 и гранью А1А2А3;
4) площадь грани А1А2А3;
5) объем пирамиды;
6) уравнение прямой А1А2;
7) уравнение плоскости грани А1А2А3;
8) уравнение высоты, опущенной из вершины А4 на грань
А1А2А3.
| Вариант | А1 | А2 | А3 | А4 |
| (2; 3; 2) | (10; 7; 3) | (6; 6; 3) | (8; 9; 5) | |
| (3; 5; 2) | (1; 7; 5) | (5; 6; 8) | (1; 6; 4) | |
| (6; 1; 4) | (3;-3; 8) | (5;-5; 8) | (8; 3; 3) | |
| (2; 5; 4) | (5; 3; 6) | (8; 3; 5) | (8; 2; 10) | |
| (3; 4; 3) | (7;-4; 4) | (6; 0; 4) | (9; 10; 6) | |
| (1; 2; 3) | (3; 4; 6) | (-3; 1; 6) | (3; 3; 5) | |
| (3; 5; 1) | (0; 1; 5) | (1; 0; 5) | (7; 9; -1) | |
| (5;-2; 4) | (7; 1; 6) | (7; 4; 5) | (8; 4; 10) | |
| (1; 2; 1) | (9;-2; 2) | (-3; 5; 0) | (7; 8;-2) | |
| (4; 1; 3) | (2; 3; 6) | (5;-3; 6) | (3; 3; 5) | |
| (3;-1; 2) | (7; 2; 6) | (9; 0; 6) | (5; 1; 3) | |
| (3; 5; 4) | (1; 8; 6) | (-1; 2; 6) | (9;-1; 1) | |
| (1; 1; 2) | (-3;9; 3) | (-2; 5; 3) | (7; 7; -1) | |
| (1; 4; 3) | (-1; 6; 6) | (6; -4; 0) | (2; 2; 1) | |
| (2; 4; 1) | (6; 7; 5) | (7; 6; 5) | (6; 8; 3) | |
| (1; 2; 2) | (3; 5; 4) | (5;-1; 4) | (7; 8; 5) | |
| (2;-2; 1) | (10; 2; 2) | (6; 1; 2) | (8; 4; 4) | |
| (3; 4;-1) | (1; 6; 2) | (5; 5; 5) | (1; 5; 1) | |
| (2; 5; 3) | (-1; 1; 7) | (1; -1; 7) | (4; 7; 2) | |
| (1; 4; 2) | (4; 2; 4) | (7; 2; 3) | (7; 1; 8) | |
| (3; 1; 4) | (7; -7; 5;) | (6; -3; 5) | (9; 7; 7) | |
| (2; 4; 3) | (4; 6; 6) | (-2; 3; 6) | (4; 5; 5) | |
| (5;-2;-1) | (2; -6; 3) | (3; -7; 3) | (9; 2; -3) | |
| (5; 2; 1) | (7; 5; 3) | (7; 8; 2) | (8; 8; 7) | |
| (2;-1; 7) | (10;-5; 8) | (-2; 2; 6) | (8; 5; 4) | |
| (4; 7; 8) | (2; 9; 11) | (5; 3; 11) | (3; 9; 10) | |
| (2; 1; 3) | (6; 4; 7) | (8; 2; 7) | (4; 3; 4) | |
| (1; 5; 2) | (-1; 8; 4) | (-3; 2; 4) | (7; -1;-1) | |
| (6; 1; 4) | (2; 9; 5) | (3; 5; 5) | (12; 7; 1) | |
| (6; 5; 1) | (4; 7; 4) | (11; -3; -2) | (7; 3;-1) |
|
|
|
