Задача № 3
Даны координаты вершин пирамиды АВСD (таблица 4). Найти объём пирамиды, площадь грани АВС и угол между ребрами АВ и АО.
Таблица № 3
№ варианта |
А |
В |
С |
D |
1 |
(1,3,6) |
(2,2,1) |
(-1,0,1) |
(-4,6,-3) |
2 |
(-4,2,6) |
(2,-3,0) |
(-10,5,8) |
(-5,2,-4) |
3 |
(7,2,4) |
(7,-1,-2) |
(3,3,1) |
(-4,2,1) |
4 |
(2,1,4) |
(-1,5,-2) |
(-7,-3,2) |
(-6,-3,6) |
5 |
(-1,-5,2) |
(-6,0,-3) |
(3,6,-3) |
(-10,6,7) |
6 |
(0,-1,-1) |
(-2,3,5) |
(1,-5,-9) |
(-1,-6,3) |
7 |
(5,2,0) |
(2,5,0) |
(1,2,4) |
(-1,1,1) |
8 |
(2,-1,-2) |
(1,2,1) |
(5,0,-6) |
(-10,9,-7) |
9 |
(-2,0,-4) |
(-1,7,1) |
(4,-8,-4) |
(1,-4,6) |
10 |
(14,4,5) |
(-5,-3,2) |
(-2,-6,-3) |
(-2,2,-1) |
11 |
(1,2,0) |
(3,0,-3) |
(5,2,6) |
(8,4,-9) |
12 |
(2,-1,2) |
(1,2,-1) |
(3,2,1) |
(-4,2,5) |
13 |
(1,1,2) |
(-1,1,3) |
(2,-2,4) |
(-1,0,-2) |
14 |
(2,3,1) |
(4,1,-2) |
(6,3,7) |
(7,5,-3) |
15 |
(1,1,-1) |
(2,3,1) |
(3,2,1) |
(5,9,-8) |
16 |
(1,5,-7) |
(-3,6,3) |
(-2,7,3) |
(-4,8,-12) |
17 |
(-3,4,-7) |
(1,5,-4) |
(-5,-2,0) |
(2,5,4) |
18 |
(-1,2,-3) |
(4,-1,0) |
(2,1,-2) |
(3,5,4) |
19 |
(4,-1,3) |
(-2,1,0) |
(0,-5,1) |
(3,2,-6) |
20 |
(1,-1,1) |
(-2,0,3) |
(2,1,-1) |
(2,-2,-4) |
21 |
(1,2,0) |
(1,-1,2) |
(0,1,-1) |
(4,4,-2) |
22 |
(1,0,2) |
(1,2,-1) |
(2,-2,1) |
(-3,0,1) |
23 |
(1,2,-3) |
(1,0,1) |
(-2,-1,6) |
(2,1,0) |
24 |
(3,10,-1) |
(-2,3,-5) |
(-6,0,-3) |
(1,-1,2) |
25 |
(-1,2,4) |
(-1,-2,-4) |
(3,0,-1) |
(7,-3,1) |
26 |
(0,-3,1) |
(-4,1,2) |
(2,-1,5) |
(3,1,-4) |
27 |
(1,3,0) |
(4,-1,2) |
(3,0,1) |
(-4,3,5) |
28 |
(-2,-1,-1) |
(0,3,2) |
(3,1,-4) |
(-4,7,3) |
29 |
(-3,-5,6) |
(2,1,-4) |
(0,-3,-1) |
(-5,2,-8) |
30 |
(2,-4,-3) |
(5,-6,0) |
(-1,3,-3) |
(-10,-8,7) |
Задача № 4
Вычислить предел функции.
Таблица № 4
№ варианта |
Задание |
№ варианта |
Задание |
1 |
|
2 |
|
3 |
|
4
|
|
5 |
|
6 |
|
7 |
|
8 |
|
9 |
|
10 |
|
11 |
|
12 |
|
13 |
|
14 |
|
15 |
|
16 |
|
17 |
|
18 |
|
19 |
|
20 |
|
21 |
|
22 |
|
23 |
|
24 |
|
25 |
|
26 |
|
27 |
|
28 |
|
29 |
|
30 |
|
