1
: 1) ; 2) ; 3) .
2
: l, m, n, k, f .
:1) , ;2) ;3) .
p | q | l | m | n | k | f | |
p | q | l | m | n | k | f | |
3
. , . , , .
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- | - | ||||||
(-3;4;2) | (1;12;3) | (5;1;-3) | (9;8;1) | ||||
(1;2;-4) | (4;6;8) | (1;2;-1) | (-9;-9;1) | ||||
(-6;5;3) | (-5;7;5) | (5;-3;2) | (8;3;0) | ||||
(2;2;-1) | (8;-4;6) | (-4;9;-7) | (4;-7;4) | ||||
(4;-1;2) | (10;5;9) | (2;2;5) | (1;4;3) | ||||
(-1;-9;2) | (0;9;8) | (8;3;3) | (4;-5;4) | ||||
(-7;-6;3) | (8;4;9) | (-6;7;9) | (6;-2;1) | ||||
(-2;-1;5) | (4;-3;8) | (7;-5;-3) | (-8;1;7) | ||||
(3;-1;4) | (5;1;5) | (-8;2;5) | (6;4;0) | ||||
(1;-1;3) | (5;0;11) | (1;-7;-9) | (2;5;3) | ||||
(3;-1;0) | (9;-3;9) | (3;3;1) | (9;-3;8) | ||||
(-4;1;1) | (3;5;5) | (2;9;6) | (8;-9;5) | ||||
(-5;0;2) | (1;-6;9) | (5;-1;2) | (6;-5;-6) | ||||
(-7;5;5) | (5;1;2) | (-7;2;1) | (-9;5;7) | ||||
(1;8;3) | (9;-8;-8) | (3;2;5) | (-1;6;-2) |
4
1, 2, 3, 4. .
: 1) 12;
2) 12 14;
3) 14 123;
4) 123;
5) ;
6) 12;
7) 123;
8) , 4
123.
1 | 2 | 3 | 4 | |
(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) |
5
1. , 2 2 = 2 + 2 = 0, , .
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2. , 242 + 492 = 1176 , e = 1,25.
3. , + 4 = 0, .
4. . , (3;Ö3).
5. 2 2 = 8. , (4;6) , .
6. 2 = 8 , , 4 .
7. F1(Ö7;0) F2(-Ö7;0). (2;0). .
8. 2 = 2, , = 2 + 2 6 = 0.
9. 2 = , .
10. 42 52 = 20 , . .
11. , 2 = 8 .
12. . 2 = 2 2 + 6 = 0. .
13. 3 + 2 = 7 2 = 4 ( ). . , 0,6.
14. 2 . (3;-1), , . 2 + 2 = 10.
15. , , , , 2 + 2 10 8+ + 25 = 0 5.
16. , 82 2 = 8. 2 = 12 .
17. 42 52 = 20 . .
18. 2 = , , , 5.
19. , 42 52 = 20, 0,6.
20. 2 42 = =16 , . .
21. , e= 1,5, , 22 + +52 = 30.
22. , + 4 = 0, 2 = 2.
23. 8 = 2 3 + +4 + 2 = 0.
24. , (3;0) (-1;2), , + 2 = 0.
25. 2 + 2 = 10 2 42 = 20.
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26. , 8 8.
27. 242 + 492 = 1176 , . .
28. , (5;0) ((1;4), + = 3.
29. , 0,8, 2 .
30. , (Ö40;2) 3 = .
6
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7
. .
1. 2+4+2+z2=0.
2. 2+4+2+2z2-6=0.
3. 2+4+2-2z2=0.
4. 2+4+2-3z2+12=0.
5. 22-6+22+z2=0.
6. 22-6+22+2z2-25=0.
7. 32+4+32+2z2-50=0.
8. 32+4+32-2z2=0.
9. 32+4+32-z2-100=0.
10. 2z-3y2=0.
11. 2+4+2-4z2-12=0.
12. 2-3z2=0.
13. 2+4z+52+z2=0.
14. 3x2-2yz=0.
15. 2+6z+52+z2-15=0.
16. 22+42+2z2+2xz-12=0.
17. 22-32+2z2+2xz=0.
18. 22-32+2z2-2xz-12=0.
19. 22-32+2z2-6xz+36=0.
20. 22+22+2z2+2yz-1=0.
21. 22-22-2yz -2z2+1=0.
22. 22-22-6yz- 2z2-1=0.
23. 2-2-yz-z2=0.
24. 2-32-2yz-3z2-1=0.
25. 2+32+2yz+3z2+1=0.
26. 32-32-2yz-3z2=0.
27. 22-32-2yz-3z2-1=0.
28. 2+22+6yz+2z2+10=0.
29. 32+22-6yz+2z2-10=0.
30. 2+2-6yz+z2=0.
1. (4;4;9), B (1;9;-1), C (3;7;4) D (4;7;6).
:
) ABCD;
) ABC;
) , ;
) ;
) .
2. , , 45.
1. (-2;-5), B (4;4) C (8;-3). C 1 , C . , C 1 30 .
2. , (-4;0) (4;0) 40.
3. , 92 +252=225 (-1;-3).
4. , .
1. . n ≤ 3. .
2. . . .
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