1
Y F x a b. x>=0. F, Y x.
2
| 1. a, b, c. |
| 2. a b , . |
| 3. , h. |
| 4. R1 R2 R3. V. . |
| 5. (x1, y1), (x2, y2), (x3, y3) . , . |
| 6. (x1, y1), (x2, y2), (x3, y3). . |
| 7. H V0. |
| 8. a b g. , . |
| 9. V1 1 V2 2. . |
| 10. (x1, y1), (x2, y2), (x3, y3) . . |
| 11. V0 a . , , . |
| 12. , (x1, y1), (x2, y2), (x3, y3) . .. |
| 13. , , . |
| 14. . |
| 15. (x1, y1), (x2, y2), (x3, y3) . , . |
| 16. (x1, y1), (x2, y2), (x3, y3) . . |
| 17. , S, a. |
| 18. R1 R2 R3. V. . |
| 19. a, b, c. |
| 20. (x1, y1), (x2, y2), (x3, y3) . . |
3
| 1. : 1 , 2 , , 6 , 7 . K, 1365. K- , , 1 . |
| 2. A, B, C. A × B C ( ). , , . |
| 3. ( ). , , , , 20 1901 . |
| 4. N (N ). , . |
| 5. , 999. , , . |
| 6. . , (, 123 132). |
| 7. . . . |
| 8. . . |
| 9. N (N ). , . |
| 10. : 0 , 1 , 2 , , 6 . K, 1365. K- , , 1 . |
| 11. A, B, C, D. - A × B × D ( ). , , . |
| 12. N (N ). , . |
| 13. N (N ). , . |
| 14. : 1 , 2 , , 6 , 7 . K, 1365. K- , , 1 . |
| 15. : 1 , 2 , , 6 , 7 . K, 1365, N, 17. K- , , 1 . |
| 16. . . . |
| 17. . , (, 1234 1432). |
| 18. N (N ). , . |
| 19. . . |
| 20. : 0 , 1 , 2 , , 6 . K, 1365. K- , , 1 . |
II
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| 1. 1+b1y=c1, a2x+b2y=c2, a3x+b3y=c3. , , - . |
| 2. x, y, z, d. min(max(x, y), max(x, z), max(z, d)). |
| 3. [a, b] [c, d] A . , , . |
| 4. , a, b, c, , , . |
| 5. , a1, a2, a3, a4 , . n |
| 6. 1+b1y=c1, a2x+b2y=c2, a3x+b3y=c3. , , - . |
| 7. a, b, c. , . , . |
| 8. ax4 + bx2 + c = 0. |
| 9. , a, b, c , , , . |
| 10. (0, 0), (0, a), (b, 0). , (x, y) . |
| 11. , a, b, c x y. , . |
| 12. a, b c , a, b, c , , , . |
| 13. . , . |
| 14. , x, y, v, w. |
| 15. ( 1 8) . , . |
| 16. x, y, z , , − . |
| 17. . |
| 18. x, y, z, d. max (min (x, y), min (x, z), min (z, d)). |
| 19. , a, b, c , , , . |
| 20. . |
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III
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F x, x0 xk h. x0, xk, h .
2
x, x0 xk h, S(x) e=0.00001 y(x).
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