Onet-Math

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1 36 ( 1–36) 1 A = {1, 2, 3,...} B = {{1, 2}, {3, 4, 5}, 6, 7, 8,...} A - B 5 B - A 4 (A - B) (B - A) A B 5 1) A 2) A

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Transcript of Onet-Math

  • 1. 04 2 20 2553 11.30 - 13.30 . 1 36 ( 136) 1 1. A = {1, 2, 3, . . .} B = {{1, 2}, {3, 4, 5}, 6, 7, 8, . . .} 1. A B 5 2. B A 4 3. (A B) (B A) 4. A B 5 2. 1) A 2) A 1. 2. 3. 4.

2. 04 3 20 2553 11.30 - 13.30 . 3. . . 1. . . 2. . 3. . 4. . . 4. s, t, u v s < t u < v . s u < t v . s v < t u 1. . . 2. . 3. . 4. . . 3. 04 4 20 2553 11.30 - 13.30 . 5. 2|5 x| = 1 1. (10, 5) 2. (6, 4) 3. (4, 5) 4. (3, 6) 6. 3 4 4x2 + bx 6 = 0 b 1. 2 2. 1 2 3. 1 2 4. 2 7. 1. (1)0 2. (1)0.2 3. (1)0.4 4. (1)0.8 8. |4 3 5 2| |3 5 5 2| + |4 3 3 5| 2 1. 0 2. 180 3. 192 4. 200 4. 04 5 20 2553 11.30 - 13.30 . 9. a n . n a n = |a| . n an = |a| 1. . . 2. . 3. . 4. . . 10. f(x) = x2 + x + 2 1. f(x) 0 1 x 2 2. f 3. f 2 4. f 2 5. 04 6 20 2553 11.30 - 13.30 . 11. 1. {(1, 2), (2, 3), (3, 2), (2, 4)} 2. {(1, 2), (2, 3), (3, 1), (3, 3)} 3. {(1, 3), (1, 2), (1, 1), (1, 4)} 4. {(1, 3), (2, 1), (3, 3), (4, 1)} 12. f(x) = 3 x g(x) = 2 + |x 4| Df Rg 1. (, 3] 2. [2, ) 3. [2, 3] 4. (, ) 6. 04 7 20 2553 11.30 - 13.30 . 13. f 11f(11) 3f(3)f(3) 1. 57 2. 68 3. 75 4. 86 7. 04 8 20 2553 11.30 - 13.30 . 14. 600 75% 1. 120 2. 40 3. 60 2 4. 20 2 15. ( 1 1 ) 50 x N 1. 31x x2 = N 2. 29x x2 = N 3. 27x x2 = N 4. 25x x2 = N 8. 04 9 20 2553 11.30 - 13.30 . 16. A B 1. 1.5 2. 3 3. 2 4. 2 2 17. sin cos 72 0.951 0.309 73 0.956 0.292 74 0.961 0.276 75 0.966 0.259 7, 24 25 1. 15 2. 16 3. 17 4. 18 9. 04 10 20 2553 11.30 - 13.30 . 18. 60 3 3 1. 2 3 2. 2 + 3 3. 2 3 3 4. 2 3 + 3 19. 2 45 30 ( 3 1.73) 1. 1.00 2. 1.46 3. 2.00 4. 3.46 20. 3 2 , 1, 1 2 , . . . 40 42 1. 18 2. 19 3. 37 4. 38 10. 04 11 20 2553 11.30 - 13.30 . 21. 40 an = 3 + (1)n 40 1. 10 2. 20 3. 30 4. 40 22. a1, a2, a3, . . . a2 = 8 a5 = 64 10 1. 2, 048 2. 1, 512 3. 1, 364 4. 1, 024 23. 1. 1 2 2. 1 4 3. 1 8 4. 1 16 11. 04 12 20 2553 11.30 - 13.30 . 24. 110 1 5 1. 2 9 2. 8 15 3. 2 35 4. 11 156 25. 177 145 S = { H | H } T = { H | 145 H 177 } () 1. S T 2. S 3. T 4. S T 12. 04 13 20 2553 11.30 - 13.30 . 26. 1 6 4 1. 1 18 2. 1 12 3. 1 9 4. 1 3 27. 40 3 20 12 5 1. 2. 3. 4. 13. 04 14 20 2553 11.30 - 13.30 . 28. 48.01 43 57 45 1. 2, 236 2. 2, 279 3. 2, 322 4. 2, 365 14. 04 15 20 2553 11.30 - 13.30 . 29. - 10 5 7 8 6 7 8 9 7 0 4 4 7 8 1 1. 2. 3. 5 70 4. 15. 04 16 20 2553 11.30 - 13.30 . 30. 1. 2. 3. 4. 31. 41, 88, 46, 42, 43, 49, 44, 45, 43, 95, 47, 48 1. 2. 3. 4. 16. 04 17 20 2553 11.30 - 13.30 . 32. 200 1. 12 16 16 18 2. 12 18 18 24 3. 10 12 18 24 4. 10 16 16 24 17. 04 18 20 2553 11.30 - 13.30 . 33. 400 3 60 1. 15 2. 30 3. 45 4. 60 34. 26 711 11 0.2 1216 14 1721 6 0.3 1. 26 2. 711 3. 1216 4. 1721 18. 04 19 20 2553 11.30 - 13.30 . 35. .. 2551 4.29 .. 2550 .. 2551 ( 100) .. 2550 .. 2551 1.0 1.0 0.9 1.3 1.5 1.2 () 1.3 0.9 1.2 1.2 1.2 1.1 . .. 2550 .. 2551 . ..2551 39 1. . . 2. . 3. . 4. . . 19. 04 20 20 2553 11.30 - 13.30 . 36. 1. 2. 3. 4. 20. 04 21 20 2553 11.30 - 13.30 . 2 4 ( 3740) 1 1. 3 2. 3 ( 0 ) 3. 3 1. 0 0 0 0 2. 47 0 4 7 3. 209 2 0 9 21. 04 22 20 2553 11.30 - 13.30 . 37. 36 50 44 15 12 7 5 38. 12 14 16 15 39. 0 9 3 40. 3 3