Truy cập www.khongbocuoc.com để download thêm tài liệu học tập khác www.VNMATH.com PHƯƠNG TRÌNH, BẤT PHƯƠNG TRÌNH VÀ HỆ PHƯƠNG TRÌNH ( x + 1) x − x + = x + sin n x + sin 1+ x m +1 = cos n x + x − x − x2 = − x2 2 cos m+1 x với m , n số nguyên dương x − 3x = x + −1= oc c om 4x + + x x + 2006 x3 + 1006009 x + x − x + 2007 + 1004 = x ( y + z )2 = ( 3x + x + 1) y z 6 x = y (1 + x ) 6 y = z (1 + y ) y ( z + x ) = ( y + y + 1) z x 2 2 2 6 z = x (1 + z ) z ( x + y ) = ( z + z + 1) x y cos 2x 3 + tan x = x + = x − x − 10 1 + cos x 11 ( x − x )( x + x + 2007 ) − 2005 x − x = 30 x + x − + 2006 6 x x3 − x + = ( x + x − )( x + ) 13 2 x + ≥ + x x 14 x3 − 3x + = 15 2005 − x bo cu x + xy y + 2z = ( ) ( ) −3 2 12 x + y + xy + xz + yz = x + y + z = x < < y , z 2006 + 2006 − x 17 x + y − z = 18 x + y − z = 37 x3 + y − z = y − + x = 19 x + y = 82 kh on g 16 (16cos x + 3) = 2048cos x − 768 2005 =1 x + + = x3 + 3x + x 20 16 x − 16 x5 − 20 x + 20 x3 + x + x − = 21 11x − 14 x + + 11x − x + + 17 x + x + = ( x + ) 45 22 x + x + − x − x + 40 = x + x + 24 x − x − = x + 23 x − 11x + 21 − x − = x (4 − y2 ) = y 25 y ( − z ) = z 26 z ( − x ) = x 27 x + + x x + + ( x + 1) x + x + < Sưu tầm: Hồ Văn Diên – THPT Thái Lão x + y + xy = 2 x + = y + x Truy cập www.khongbocuoc.com để download thêm tài liệu học tập khác − x2 + x − y +1 x = + x z +1 31 y = + y x +1 z = + z 13 13 y + x + 16 + x − y = x + x + 16 97 30 x + y = 36 x < y > 32 x 2008 2007 + − 20082 − x = 2008 x 2007 > 2x om 28 x + www.VNMATH.com 29 x + 35 > x − 12 x ) ( 38 x + x + + ( x + ) ( ( + x + x + 1) = ) kh o x + y − x + y = −1 40 x + y + x − y = 42 ( x + x log x 2 x − = y − 3x 41 y y 2 − = 3x − ) −3x − x + + x > 3x.2 x -3x − x + + ( x ) 3x 43 ( 2cos3 x + 6cos x + 1) = 162cos x − 27 45 47 x x + x = + 8log 2 ng 39 log 22 x + x.log oc ) bo cu ( c x 33 ( log x ) + x log ( x + 3) = log x + 2log ( x + 3) 2 y + y2 + 2 ( x − y ) x + y + xy − = 6ln x + x2 + 34 x − x + = y 1 + x x − 16 y − cos x − cos y = 1 + y = e y 36 35 x x − xy + y = y = − 2x − x + log ( x + 3) > 36 37 cos5 x + cos x = sin x − cos x x +1 x 44 x − + x − 3x + = x + + x + = 3x + 2 x + x + − 16 x + =1+ x 48 ( x + 1) log32 x + x log3 x − 16 = ( x − y ) x − y = 49 2 ( x + y ) x + y = 15 x + x ( 3x + y ) = 18 50 x + x + y − = 51 e x = + ln ( x + 1) 52 ( ( ) ) ( ( ) ) + x + = x3 + 2 Sưu tầm: Hồ Văn Diên – THPT Thái Lão Truy cập www.khongbocuoc.com để download thêm tài liệu học tập khác www.VNMATH.com xy − 18 = 12 − x 2 6 x − 3xy + x + y = 53 54 y2 x + y = xy = + x + y −1 4 + 3.42 y −1 = x x 55 + ( x − 12 ) + 11 − x = 56 x + y = − log x π π + cos x = − ; 2 57 61 60 15 x5 + 11x3 + 28 = − 3x x ( y − ) = ( x + )( y − ) 62 ( y + )( x − 3) = ( y + 3)( x − ) oc ( ) = + − x2 bo cu (1 + x ) − 10 − x = x − 63 x = 4 x + + 64 2cos x + sin x cos x + = sin x + cos x ( ) 67 x x − = 69 16 x3 − 24 x + 12 x − = x 71 cos6 x − cos x = (1 + cos3 x ) 68 x3 − 3x = x + 70 2log t = log ( + t ) 1 x −1 − 1− > x x x x3 + x ( y − z )2 = 59 y + y ( z − x ) = 30 z + z ( x − y ) = 16 2 x y − x + y = 58 2 x + x + y − 12 x + 13 = 65 + − x (1 − x ) − x +1 =x− 66 x +1 − − x x− om c 57 e tan on g 81 72 sin x + + cos x + = cos x sin x cos3 x 73 sin x − cos x = + ( sin x − cos x ) 74 x3 + (1 − x ) = x (1 − x ) 75 kh x − x + 10 + x = 3 x − x + x − x + 1 x + y xy 2 x + y + = 16 x + = x + y x + y 77 76 x + 2x = x + x − y 4 x + y 8 y y − x + y = 3y x xy − x + y = 2 + y = y − x − y 78 79 x + 12 x + x = − y + y + x + x − y = x + 3y − 2 81 x + + x − = x − 80 x + x + = + x + x − x − x Sưu tầm: Hồ Văn Diên – THPT Thái Lão