Задача №7
Вычислить объем
пирамиды и вершинами в точках
,
,
,
и
,
и его высоту, опущенную из вершины D
на грань A B
C.
№ n/n |
|
|
|
|
7.1. |
(0,1,2) |
(2,1,7) |
(2,7,4) |
(0,0,4) |
7.2. |
(1,2,3) |
(2,8,-4) |
(0,5,4) |
(2,9,4) |
7.3. |
(1,1,1) |
(2,4,-2) |
(2,0,2) |
(0,1,-1) |
7.4. |
(1,-1,1) |
(0,2,3) |
(1,-1,0) |
(0,2,2) |
7.5. |
(2,1,3) |
(4,-2,0) |
(1,3,-3) |
(7,5,2) |
7.6. |
(-2,0,4) |
(1,3,-1) |
(4,-1,3) |
(2,7,3) |
7.7. |
(1,2,3) |
(0,0,0) |
(1,4,3) |
(1,8,-1) |
7.8. |
(-1,2,0) |
(1,0,3) |
(0,2,2) |
(1,8,3) |
7.9. |
(2,-1,1) |
(3,3,2) |
(2,1,0) |
(4,1,-3) |
7.10. |
(2,1,-1) |
(-3,1,2) |
(0,1,2) |
(-1,8,3) |
7.11. |
(-2,1,1) |
(5,5,4) |
(3,2,-1) |
(4,1,3) |
7.12. |
(0,1,-1) |
(3,-1,5) |
(1,0,4) |
(3,5,7) |
7.13. |
(1,1,2) |
(-1,1,3) |
(2,-2,4) |
(-1,0,-2) |
7.14. |
(2,3,1) |
(4,1,-2) |
(6,3,7) |
(7,5,-3) |
7.15. |
(1,1,-1) |
(2,3,1) |
(3,2,1) |
(5,9,-8) |
7.16. |
(1,5,-7) |
(-3,5,3) |
(-2,7,3) |
(-4,8,-12) |
7.17. |
(-3,4,-7) |
(1,5,-4) |
(-6,-2,0) |
(2,5,4) |
7.18. |
(-1,2,-3) |
(4,-1,0) |
(2,1,-2) |
(3,4,5) |
7.19. |
(4,-1,3) |
(-2,1,0) |
(0,-5,1) |
(3,2,-6) |
7.20. |
(1,-1,1) |
(-2,0,3) |
(2,1,-1) |
(2,-2,-4) |
7.21. |
(1,2,0) |
(1,-1,2) |
(0,1,-1) |
(-3,0,1) |
7.22. |
(1,0,2) |
(1,2,-1) |
(2,-2,1) |
(2,1,0) |
7.23. |
(1,2,-3) |
(1,0,1) |
(-2,-1,6) |
(0,-5,-4) |
7.24. |
(3,10,-1) |
(-2,3,-5) |
(-6,0,-3) |
(1,-1,2) |
7.25. |
(-1,2,4) |
(-1,-2,-4) |
(3,0,-1) |
(7,-3,1) |
7.26. |
(0,-3,1) |
(-4,1,2) |
(2,-1,5) |
(3,1,-4) |
7.27. |
(1,3,0) |
(4,-1,2) |
(3,0,1) |
(-4,3,5) |
7.28. |
(-2,-1,-1) |
(0,3,2) |
(3,1,-4) |
(-4,7,3) |
7.29. |
(-3,-5,6) |
(2,1,-4) |
(0,-3,-1) |
(-5,2,-8) |
7.30. |
(2,-4,-3) |
(5,-6,0) |
(-1,3,-3) |
(-10,-8,7) |