Thông tin tài liệu
TuyÓn tËp Ph¬ng tr×nh lîng gi¸c trong ®Ò thi §H-C§ (2002-2010) 1. A02:T×m n o thuéc (0;2π ) cña PT: 5 3 ÷ + + = + + cosx sin3x sinx cos2x 1 2sin2x 2. B02: GPT: 2 2 2 2 sin 3x cos 4x sin 5x cos 6x. − = − 3. D02: T×m n o thuéc [0;14] cña PT: cos3 4cos 2 3cos 4 0.x x x − + − = 4. DB1: X® m ®Ó PT sau cã Ýt nhÊt mét n o thuéc ®o¹n [0;π/2]: 5. ( ) 4 4 2 sin x cos cos 4 2 sin 2 0x x x m + + + − = 6. DB2: GPT: 4 4 sin cos 1 1 cot 2 5sin 2 2 8sin 2 x x x x x + = − 7. DB3: GPT: ( ) 2 2 sin 2x sin 3x 4 tan x 1 4 cos x − + = 8. DB4: GPT: x 2 tan x cos x cos x sin x 1 tan x tan 2 + − = + ÷ 9. DB5: Cho PT: 2sin x cos x 1 a sin x 2cos x 3 + + = − + (2) (a lµ tham sè). a) GPT (2) khi a=1/3. b) T×m a ®Ó PT (2) cã nghiÖm. 10. DB6: GPT 1 sin x 2 8cos x = 11. C§-A02: GPT: ( ) sin cos x 1.π = 12. C§-A02: GPT 1 sin x cos x 0+ + = 13. C§-A02: GPT 1 2cos 2x 8cos x 7 . cos x − + = 14. C§-A02: GPT 2 2 4sin 2x 6sin x 9 3cos 2x 0. cos x + − − = 15. A03: GPT cos2x 1 2 cot x 1 sin x sin 2x. 1 tan x 2 − = + − + 16. B03: GPT 2 cot x tan x 4 sin 2x . sin 2x − + = 17. D03: GPT x x 2 2 2 sin tan x cos 0. 2 2 4 π − − = ÷ 18. DB1: GPT ( ) 3 tan x tan x 2sin x 6 cos x 0− + + = 19. DB2: GPT ( ) 2 cos 2x cos x 2tan x 1 2+ − = 20. DB3: GPT 6 2 3cos 4x 8cos x 2cos x 3 0− + + = 21. DB4: GPT ( ) x 2 2 3 cosx 2sin 2 4 1. 2cos x 1 π − − − ÷ = − 22. DB5: GPT ( ) ( ) 2 cos x cos x 1 2 1 sin x . sin x cos x − = + + 23. DB6: GPT 2cos4x cot x tan x . sin 2x = + 24. C§03: GPT ( ) 2 3cos x 1 sin x cos2x 2 sin x sin x 1− − = − 25. B04: GPT ( ) 2 5 sin x 2 3 1 sin x tan x.− = − 26. D04: GPT ( ) ( ) 2cos x 1 2sin x cos x sin 2x sin x.− + = − 27. §H§Dìng-04:GPT: ( ) ( ) 2sin x 1 2cos x sin x sin 2x cos x.− + = − 28. C§04: GPT cos3x 2cos 2x 1 2sin x sin 2x+ = − 29. C§SPHP-04: GPT cos x cos x cos x 3 6 4 π π π + + + = + ÷ ÷ ÷ 30. C§MGTW1-04: GPT 3 3cos 2x 4cos x cos3x 0.+ − = 31. C§MGTW1-04: GPT 1 cos x cos2x sin x sin2x.+ − = + 32. C§-A-04: GPT 3 3 sin x cos x sin x cosx.+ = − 33. C§SP Bninh: GPT 2 2 2 sin x 2 sin x tan x. 4 π − = − ÷ 34. C§SP NB: 2 2 4cos x 2cos 2x 1 cos 4x− = + 35. C§SP HN: GPT 3 3 cos x sin x sin x cos x.+ = − 36. C§ GTVT-04: GPT: 1 cos3x.sin 2x cos4x.sin x sin 3x 1 cos x 2 − = + + 37. C§GTVTIII-04: GPT: ( ) ( ) 2 2sin x 1 2cos 2x 2sin x 3 4sin x 1.− + + = − 38. C§KTKT-A-04: G¶i ph¬ng tr×nh: cos x.cos7x cos 3x.cos5x= 39. C§-A-04: GPT sin x sin 2x 3 cos x cos 2x − = − 40. C§KTKT TB-04: GPT sin x sin 2x sin3x 0.+ + = 41. C§CN IV-04: GPT 3 cos 4x sin 4x 2cos3x 0. + − = 42. C§XD-A-04: Cho ph¬ng tr×nh: 6 6 cos x sin x m tan 2x 2 2 cos x sin x + = − (1) 43. a) GPT khi m=13/8. b) §Þnh m ®Ó PT (1) v« nghiÖm. 44. C§-04: GPT ( ) 2 4 cos x sin x cos2x 2cos x sin x cosx 1+ = + − 45. C§-04: GPT 2 sin 4x.sin 2x sin9x.sin 3x cos x+ = 46. C§-A-05: GPT 2 2 cos 3x cos 2x cos x 0.− = 47. B-05: GPT 1 sin x cos x sin 2x cos2x 0+ + + + = 48. D-05: GPT 3 4 4 cos x sin x cos x sin 3x 0 4 4 2 π π + + − − − = ÷ ÷ 49. A-05: GPT: cos 2 3x.cos2x-cos 2 x = 0 50. A-06: GPT: ( ) 6 6 2 sin cos sin cos 0 2 2sin x x x x x + − = − 51. B-06: GPT: cot sin 1 tan tan 4 2 x x x x + + = ÷ 52. D-06: GPT: cos3x+cos2x-cosx-1=0 53. 2 2 A07: GPT: (1 sin ) cos (1 cos ) sin 1 sin 2 2 B07: GPT: 2sin 2 sin7 1 sin 2 D07: GPT: sin cos 3 cos 2 2 2 x x x x x x x x x x x + + + = + + − = + + = ÷ 54. A08: GPT 1 1 7 4 sin . 3 sin 4 sin 2 x x x π π + = − − ÷ ÷ 55. B08: GPT 3 3 2 2 sin 3 cos sin cos 3 sin cos .x x x x x x− = − 56. D08: GPT 2 sin (1 cos 2 ) sin 2 1 2cos .x x x x+ + = + 57. C§08: GPT sin 3 3 cos3 2sin 2 .x x x− = 58. A09: GPT (1 2sin )cos 3 (1 2sin )(1 sinx) x x x − = + − . 59. B09: GPT 3 sinx cos sin 2 3 os3 2( os4 sin ).x x c x c x x+ + = + 60. D09: GPT 3 os5 2sin 3 cos 2 s inx 0.c x x x− − = 61. CĐ09: GPT 2 (1 2sin ) cos 1 s inx cos .x x x+ = + + 62. A10: GPT (1 sinx os2 )sin 1 4 cos . 1 t anx 2 c x x x π + + + ÷ = + 63. B10: GPT (sin 2 os2 )cos 2cos 2 sinx 0.x c x x x+ + − = 64. D10: GPT sin 2 os2 3sin cos 1 0.x c x x x − + − − = 65. CĐ10: GPT 5 3 4cos os 2(8sin 1)cos 5. 2 2 x x c x x+ − = . TuyÓn tËp Ph¬ng tr×nh lîng gi¸c trong ®Ò thi §H-C§ (2002-2010) 1. A02:T×m n o thuéc (0;2π ) cña PT: 5 3 ÷ + + = + + cosx sin3x sinx
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