Tài liệu Cac de thi dh luong giac

TuyÓn tËp Ph¬ng tr×nh lîng gi¸c trong ®Ò thi §H-C§ (2002-2007)   A02: T×m no thuéc (0;2 ) cña PT: 5 sinx  cosx sin3x  cos2x 3 1 2sin2x  2 2 C§-A02: GPT 4sin 2x  6sin x 93cos 2x 0. cos x B02: GPT: sin 2 3x cos 2 4x sin 2 5x cos 2 6x. D02: T×m no thuéc [0;14] cña PT: cos3 x  4cos2 x 3cos x 40. A03: Gi¶i ph¬ng tr×nh: cot x  1  DB1: X® m ®Ó PT sau cã Ýt nhÊt mét no thuéc ®o¹n [0;/2]: B03: Gi¶i ph¬ng tr×nh: cot x  tan x  4 sin 2x    4 4 2 sin x  cos x  cos 4 x  2 sin 2 x  m  0 DB2: GPT: x DB1: Gi¶i ph¬ng tr×nh: 3  tan x  tan x  2sin x   6 cos x  0 DB2: Gi¶i ph¬ng tr×nh: cos 2x  cos x 2 tan 2 x 1  2 cos 4 x DB3: Gi¶i ph¬ng tr×nh: 3cos 4x 8cos6 x  2cos 2 x 30 x DB4: GPT: tan x cos x cos2 x sin x 1 tan x tan     DB4: Gi¶i ph¬ng tr×nh: 2 DB6: Gi¶i ph¬ng tr×nh: b) T×m a ®Ó PT (2) cã nghiÖm. 8cos 2 x  2 3  cos x 2sin 2  x      2 4 2cos x 1 2sin x  cos x 1 DB5: Cho PT: a (2) (a lµ tham sè). sin x 2cos x 3 1    2sin2 2x  sin 3x a) GPT (2) khi a=1/3. 2 . sin 2x D03: Gi¶i ph¬ng tr×nh sin 2  x    tan 2 x  cos 2  0.   2 2 4 sin 4 x cos4 x 1 1  cot 2 x  5sin 2 x 2 8sin 2 x DB3: GPT: tan 4 x  1  cos 2x 1 2  sin x  sin 2x. 1 tan x 2 sin x 2 DB5: Gi¶i ph¬ng tr×nh cos x  cos x 1  2 1sin x  . sin x cos x DB6: Gi¶i ph¬ng tr×nh cot x  tan x  2cos 4x . sin 2x  C§-A02: GPT: sin   cos x  1. 1.  C§03: Gi¶i ph¬ng tr×nh: 3cos x 1 sin x cos 2x  2 sin x sin 2 x 1 C§-A02: Gi¶i ph¬ng tr×nh: 1sin x  cos x 0 B04: Gi¶i ph¬ng tr×nh 5 sin x  2  3  1sin x  tan 2 x. 1 C§-A02: Gi¶i ph¬ng tr×nh: 2cos 2x 8cos x 7  . cos x (Trang 1) D04: Gi¶i ph¬ng tr×nh  2cos x 1 2sin x  cos x  sin 2x sin x. 6 6 C§XD-A-04: Cho ph¬ng tr×nh: cos x sin x  m tan 2x 2 2 §H §Dìng-04: GPT:  2sin x 1 2cos x sin x  sin 2x cos x. a) GPT khi m=13/8. C§04: Gi¶i ph¬ng tr×nh: cos3x  2cos 2x 12sin x sin 2x    C§SPHP-04: Gi¶i ph¬ng tr×nh: cos x   cos x  cos x         3 6 4      C§MGTW1-04: Gi¶i ph¬ng tr×nh: 3cos 2x  4cos3 x cos3x 0. C§MGTW1-04: Gi¶i ph¬ng tr×nh: 1cos x cos 2x sin x sin 2x. C§-A-04: Gi¶i ph¬ng tr×nh: sin 3 x cos3 x sin x cos x. C§SP Bninh: Gi¶i ph¬ng tr×nh 2 sin 2  x     2 sin 2 x  tan x.    4 C§SP NB: 4cos2 x 2cos 2 2x 1 cos 4x C§SP HN: Gi¶i ph¬ng tr×nh: cos3 x sin3 x sin x cos x.  b) §Þnh m ®Ó PT (1) v« nghiÖm. C§-04: Gi¶i ph¬ng tr×nh: cos2 x sin 4 x cos 2x 2cos x  sin x cos x  1 C§-04: Gi¶i ph¬ng tr×nh: sin 4x.sin 2x sin 9x.sin 3x cos 2 x C§-A-05: Gi¶i ph¬ng tr×nh: cos2 3x cos 2x cos2 x 0. B-05: Gi¶i ph¬ng tr×nh 1sin x cos x sin 2x  cos 2x 0   3 D-05: Gi¶i ph¬ng tr×nh: cos4 x sin 4 x  cos x  sin  3x   0     4 4 2    A-05: GPT: cos23x.cos2x-cos2x = 0 A-06: GPT:   2 sin 6 x  cos6 x sin x cos x 2  2sin x C§ GTVT-04: GPT: cos3x.sin 2x cos 4x.sin x  1 sin 3x  1cos x C§GTVTIII-04: GPT:  2sin x 1 2cos 2x  2sin x 3 4sin 2 x 1. 0 x B-06: GPT: cot x sin x1 tan x tan 4   D-06: GPT: cos3x+cos2x-cosx-1=0 2 C§KTKT-A-04: G¶i ph¬ng tr×nh: cos x.cos7x cos3x.cos5x C§-A-04: Gi¶i ph¬ng tr×nh: sin x sin 2x  3 cos x cos 2x C§KTKT TB-04: Gi¶i ph¬ng tr×nh: sin x sin 2x sin 3x 0. C§CN IV-04: Gi¶i ph¬ng tr×nh: 3 cos 4x sin 4x 2cos3x 0. (1) cos x sin x  2 2 2 A07: GPT: (1  sin x ) cos x  (1  cos x ) sin x  1  sin 2 x B07: GPT: 2sin 2 2 x sin 7 x 1sin x x 2  x D07: GPT:  sin  cos   3 cos x  2 2  2 