o-net ม.6 คณิตศาสตร์ 56 +เฉลย

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  • 1. O-NET (.. 56) 1 O-NET 56 04 9 2556 11.30 13.30 . 1 5 2.5 1. , () = = () < < () < < < 1. (), () () 2. () () () 3. () () () 4. () () () 5. (), () () 2. 1. 4 , , 1.010010001 2. 2 , 8 , 3. + 1 , 16 , 0.101001000100001 4. , 1.11111 , 8 5. 0.8 , 8 2 , 3 3. = 2 1.4 , = 3.1 = 1.63 1. < < 2. < < 3. < < 4. < < 5. < <

2. 2 O-NET (.. 56) 4. 1. [1.5, 1.6) 2. [1.6, 1.7) 3. [1.7, 1.8) 4. [1.8, 1.9) 5. [1.9, 2.0) 5. 1. 2. 3. 2 4. 2 5. 6. = | (2 + 1)(4 3) > 0 1. (1.2, 0.2) 2. (0.9, 0.3) 3. (0.6, 1.2) 4. (0.4, 1.5) 5. (0.3, 1.3) 7. 2 = 1. 2. 3. 4. 5. 3. O-NET (.. 56) 3 8. ( ) 1. 2. 3. 4. 5. 9. () 1) 2) () 1) 2) () 1) 2) 1. (), () () 2. () () () 3. () () () 4. () () () 5. (), () () 10. 10 100 11 98 12 96 2 1 ( : ) 1. = 1000 + 80 2 2. = 1000 80 2 3. = 1000 + 80 4. = 500 40 5. = 500 + 40 4. 4 O-NET (.. 56) 11. 3 7 1. 11 + 414 2. 11 + 8 21 3. 22 + 414 4. 22 + 421 5. 22 + 814 12. 1, 2, 3, 4, 5 1, 2, 3, 4 1. 2. 3. 4. 5. 13. (, ) | , 0 1 1. 2. 3. 4. 5. 1 2 3 4 5 1 2 3 4 1 2 3 4 5 1 2 3 4 1 2 3 4 5 1 2 3 4 1 2 3 4 5 1 2 3 4 1 2 3 4 5 1 2 3 4 0 1 0 1 0 1 0 1 0 1 5. O-NET (.. 56) 5 14. () = || 1. | 1 < 0 2. | 1 < 0 3. | < 1 > 0 4. | < 1 0 5. | 1 > 0 15. = 1 1. 2. 3. 4. 5. 16. ABC C 45 D BC AD BD AB 3 AC 1. 2 2. 6 3. 4 4. 5 5. 6 17. ABCD E CD AEB = 90 sin BAC 1. 2. 3. 4. 5. 6. 6 O-NET (.. 56) 18. ABC C BC AC + 8 cot(90 B) = 3 1. 2 2. 3 3. 4 4. 5 5. 6 19. 30 80 + = 90 1. 90 2. 100 3. 120 4. 150 5. 170 20. 5 10 14 29 99 1. 276 2. 287 3. 296 4. 297 5. 299 21. 24 , 15 , 6 , 3 , 12 , 21 , , 1776 1. 199 2. 200 3. 201 4. 202 5. 203 7. O-NET (.. 56) 7 22. = 2 , = 1 = + = 1, 2, 3, 1. 76 2. 113 3. 123 4. 199 5. 384 23. 3 10 23 1. 589 2. 598 3. 624 4. 698 5. 759 24. 10 3069 2 3 1. 2 2. 6 3. 8 4. 12 5. 24 25. 3 = () 1. 2. 3. 4. 5. 8. 8 O-NET (.. 56) 26. 4 5,500 400 2 ( : ) 1. = 24,300 = 242,300 2. = 24,300 = 242,400 3. = 24,400 = 242,400 4. = 24,400 = 243,900 5. = 24,900 = 243,900 27. 4 4 1 1. 2. 3. 4. 5. 28. .. 2557 .. 2557 1. 2. 3. 4. 5. 29. 1. 2. .. 2554 3. 4. 5. 9. O-NET (.. 56) 9 30. 1. 2. 3. 4. 5. 31. 11 15 , 10 , 12 , 15 , 16 , , 16 , 19 , 13 , 17 , 15 15 1. 6.4 2. 4.9 3. 3.6 4. 2.6 5. 1.8 32. 6 3 44, 46 42 50 1 6 1. 49 2. 49 3. 49 4. 49 5. 49 2 2.5 33. | 3| 4 10. 10 O-NET (.. 56) 34. , 6 100 49 22 48 32 59 27 15 35. 2 100 800 200 1,100 36. 120 1,240 37. 6 3 1 2 11. O-NET (.. 56) 11 38. 4 7 54 1458 39. 119 56 40. 50 () 52 13 55 12 57 17 60 9 62 10 65 6 70 14 75 14 78 7 80 10 82 7 () 1 20 3 21 40 5 41 60 13 61 80 20 81 100 9 12. 12 O-NET (.. 56) 1. 5 9. 4 17. 1 25. 3 33. 9 2. 1 10. 1 18. 3 26. 2 34. 10 3. 5 11. 5 19. 1 27. 4 35. 500 4. 4 12. 1 20. 3 28. 2 36. 680 5. 2 13. 3 21. 3 29. 2 37. 0.6 6. 5 14. 5 22. 3 30. 5 38. 2 7. 2 15. 2 23. 2 31. (5.8) 39. 66 8. 1 16. 3 24. 4 32. 4 40. 61.3 1. 5 () = 0 = (= 0) (0)(1) = (0)(2) 1 2 () 10 < 1 (10) = 100 > 1 () 2 < 1 1 < 4 (2)(1) (1)(4) 2. 1 1. 4 = = 2. 2 8 = = = = ( ) 1.010010001 = = 2 3. + 1 = + = 4. = = 16 = = 1.11111 = = 0.101001000100001 = = 8 = = 5. 0.8 = = 8 2 = 24 1 = 2 = = 3 = = 3. 5 2 2 (2 ~ 1.414 , ~ 3.14) < < 4. 4 = 2 1.4 ~ 1.414 1.4 ~ 0.014 = 3.1 ~ 3.1416 3.1 ~ 0.0416 = 1.63 ~ 1.6666 1.6333 ~ 0.0333 = = = 1 223 = 1 223 2+3 2+3 = = () ~ . ~ . ~ 1.866 13. O-NET (.. 56) 13 5. 2 6. 5 + + (4 3) = 0 = , , = (0.5 , 1.333) 5 (0.5 , 1.333) 7. 2 2 = = 2 = 2 2 = 2 2 1 = = + 1 = 8. 1 = ( ) = ( ) = ( ) 2 9. 4 10. 1 2 10 + 100 2 = = (10 + 001() 2) = 1000 + 80 2 = = = 3+4 2+22 = + () () () 1 2 3 14. 14 O-NET (.. 56) 11. 5 = = + 3 = + 7 = ()()()() () = = = 4 214 4 214 = 4 2(3. ? ? ) = 4 + 214 = 4 + 214 + 3 = 7 + 214 = 2( + ) = 24 + 214 + 7 + 214 = 211 + 414 = 22 + 814 12. 1 = 1, 2, 3, 4, 5 = 1, 2, 3, 4 1 () 1 2. 3 3. 4 2 4. 1 5. 3 2 13. 3 = 2 (1, 0) : 1 0 , (1, 0) : 1 0 0 1 14. 5 || || || 0 = || || 1 = || = + 1 || 0 + 1 0 0 + + 0 15. 2 = 1 = + 1 () ( + 1) = + + + + = 1, = 1, = 0 + 3 + 7 + ( + 3) = ( + 7) + + 6 + 9 = + 14 + 49 8 40 = 0 01 + + (1,0)(1,0) 15. O-NET (.. 56) 15 = = () = + 1 = = = = = ()() () = 16. 3 AD = (3) = 8 = 22 sin 45 = = 2 AC = 4 17. 1 ADE BCE ( , , ) DEA = CEB AEB = 90 DEA = = 45 ADE DAE = 180 45 90 = 45 ADE 45 ADE = ADC AC = (2) + = 4 + = 5 = 5 sin BAC = = = = 18. 3 A = 180 C B = 180 90 B = 90 B cot(90 B) = cot A = = cot(90 B) = 3 = 3 + 8 = 3 = = 4 19. 1 = , = + = 90 ABC + = 90 ACB = BAC = tan BAC = tan = = ABC tan = = tan = + 80 900 = 0 ( + 90)( 10) = 0 = 10 = 10 + 80 = 90 20. 3 = + ( 1) = + 4 = 14 (1) = + 9 = 29 (2) : (2) (1) 5 = 15 = 3 C A B 45 D 3 A B CD E A B C + 8 30 80 A B C D 16. 16 O-NET (.. 56) = 3 (1) + 12 = 14 = 2 = + 98 = 2 + 98(3) = 2 + 294 = 296 21. 3 (15) (24) = (6) (15) = = 9 = 9 = 24 = = + ( 1) 1776 = 24 + ( 1)(9) = + 1 = 200 + 1 = 201 22. 3 = + 23. 2 1 , , , = 7 = (4) (7) = 3 (2 + ( 1)) = 2(7) + (23 1)(3) = (14 + 66) = (52) = 598 24. 4 = () 3069 = = = 3 = = 3(2) = 12 25. 3 , , = 1, 2, 3 3 = + + = ()() + ()() + ()() = + + = = 26. 2 = 5,500 = 400 : 4 4 12 = 48 = + ( 1) = 5,500 + (48 1)(400) = 5,500 + 18,800 = 24,300 2 1 3 4 7 11 18 29 47 76 123 + + + + + + + + + = 3(1) 10 = 7 = 3(2) 10 = 4 = 3(3) 10 = 1 17. O-NET (.. 56) 17 : 2 2 = 2 12 = 24 = (2 + ( 1)) = (2(5,500) + (24 1)400) = 12(11,000 + 9,200) = 242,400 27. 4 : 4 (4 1)! = 6 : 1 3 (3 1)! 2 = (3 1)! (2) = 4 = = 28. 2 = , = () = , () = , ( ) = ( ) = ? Inclusive Exclusive 29. 2 2 1. 2. 3. 2 2 4. 5. 30. 5 , .5 + 5 ( ) = () + () ( ) = + ( ) ( ) = + = = 18. 18 O-NET (.. 56) 31. (5.8) = 15 11 = 165 = 148 + 165 = 148 + = 17 = () = ()()()() = = ~ 5.8 : = () 11 10 = = 6.4 1 " 11 " 5.8 ( 6.4) 32. 4 = 44 + 46 + 42 = 132 = 50 132 = 6600 1 . 44 1 44 = 44 . = 6600 44 = 6556 = = = = 49 33. 9 4 3 4 3 1 7 = 1, 0, 1, 2, , 7 9 34. 10 Inclusive Exclusive 3 ( ) = () () + () = (49 + 48 + 59) (22 + 32 + 27) + (15) = 156 81 + 15 = 90 100 90 = 10 35. 500 = + 100 = 800 (1) + 200 = 1100 (2) 2(1) (2) : 2 = 1600 1100 = 500 36. 680 = + 120 (1) + 1240 (2) (1) = 120 (2) + 120 1240 2 1360 680 680 19. O-NET (.. 56) 19 37. 0.6 = 6 + 3 + 1 = 10 2 = = = 45 3 + + = (6)(3) + (6)(1) + (3)(1) = 18 + 6 + 3 = 27 = = = 0.6 38. 2 = 54 = (1) 1458 = (2) (1) (2) : = 2 = 39. 66 (119 + 1) = 120 = 67.2 (F) 67 65 68 70 67.2 = 67 + 0.2 ( 68 67) = 65 + 0.2 ( 70 65 ) = 65 + 1 = 66 40. 61.3 = = = 10.5 20 +20 () = = = 61.3 Kue Kung Ntt Dks 31 () F 52 13 13 55 12 25 57 17 42 60 9 51 62 10 61 65 6 67 70 14 81 75 14 () () 10.5 3 31.5 30.5 5 152.5 50.5 13 656.5 70.5 20 141.0 90.5 9 814.5 3065.0