bai tap he phuong trinh

Bài tập hệ ph-ơng trình Giải hệ ph-ơng trình sau : x + xy + y = 1, ( MTCN 99) x y + y x = x y + y x = 30 3, ( BK 93) x + y = 35 x + y + xy = 5, (SP1 2000) 2 x + y + x y = 21 x + y = (NT 98) 2, 2 x x y + y = 13 x + y = 4, ( AN 97) 2 x + y = x + y x + y + xy = 11 6, (QG 2000) x + y + 3( x + y ) = 28 x y + = +1 x xy 7, y ( HH 99) x xy + y xy = 78 ( x + y )(1 + xy ) = (NT 99) 8, ( x + y )(1 + ) = 49 x2 y2 1 x + y + x + y = ( AN 99) 9, 1 2 x + y + + =4 x y2 x ( x + 2)(2 x + y ) = 10, ( AN 2001) x + 4x + y = x + x + y + + x + y + x + y + + y = 18 ( AN 99) 11, x + x + y + x + y + x + y + y = y + xy = x x (3 x + y )( x + 1) = 12 ( SP1 2000) 12, 13, ( BCVT 97) 2 + x y = x x + 2y + x = x x = y x + y = (QG 2000) 14, ( HVQHQT 2001) 15, 2 3 2 y 3y = x ( x + y )( x + y ) = 280 2x + = x = x y y x ( MTCN 98) (QG 99) 16, 17, y = y x y + = x y x = x + 8y 18, (QG 98) y = 3y + x x + + y = (NN1 2000) 20, y + + x = x + y = x ( TL 2001) 19, y + x = y2 y2 + y = x 21, ( KhốiB 2003) x = x + y2 GV:NGUYN MINH NHIấN-TRNG THPT QU Vế x xy = 16 22, ( HH TPHCM ) x xy x = 2 x xy + y = ( HVNH TPHCM ) 24, 2 x 13 xy + 15 y = + x y = 19 x 23, (TM 2001) 2 y + xy = x 2 y( x y ) = x ( M Đ C 97) 25, 2 x ( x + y ) = 10 y Bài tập ph-ơng trình -bất ph-ơng trình vô tỉ Giải ph-ơng trình sau: 1, x + + x = 2, x + = x + 3, x + x = x 4, ( x 3) 10 x = x x 12 5, x + x = 6, x + x = 3 x + 7, x + + x + x + = 4(khốiD 2005) 8, x + x x x = 2( BCVT 2000) 9, 3(2 + x ) = x + x + 6( HVKTQS 01) 10, x + x + + x = x + 2( BK 2000) 11, 5 x2 + x2 + x x = x + 1( PCCC 2001) 4 12, x ( x 1) + x ( x + 2) = x (SP2 2000 A) 13, x + x + + x = x + 2( HVKTQS 99) Tìm m để ph-ơng trình : 14, x + mx + = x + 1( KhốiB 2006) có nghiệm phân biệt 15, x + mx = x ( SPKT TPHCM ) có nghiệm 16, x + mx = x m(GT 98) Giải ph-ơng trình sau : có nghiệm 17, x + x + 11 = 31 18, ( x + 5)(2 x ) = x + x 19, x x + + x x + = 3( TM 98) 20, x + x = x 21, x + x + = x + x 22, x + x + x x = 1(NT 99) 23, x + + x + ( x + 1)(4 x )(NN 20001) 24, x + x = + x x ( M Đ C 2001) 25, x + x = x x + 11 26, x + x + x x = 0( GTVT TPHCM 01) 27, x + x = x + x x + 2( HVKTQS 97) x2 + 7x + 28, = x ( DL Đông Đô2000) x+2 29, 2x 1 +3 + = 2( GT 95) x +1 2x GV:NGUYN MINH NHIấN-TRNG THPT QU Vế 30, x + x x =2 31, + x = x (1 + x ) 32, (4 x 1) x + = x + x + 1(Đ ề 78) 33, x + x + = ( x + 3) x + 1( GT 01) 34, 2(1 x ) x + x = x x 35, x + x + = 1( XD 98) 36, x = x 1( TCKT 2000) 37, x + x = 1( Luật 96) x x = x (C Đ KiểmS t ) x + x Giải bất ph-ơng trình sau : 1, ( x 1)(4 x ) > x 2( M Đ C 2000) 38, 3, x + x + x ( AN 97) 5, ( x 3) x x 9(Đ ề 11) 7, x2 > x 4(SPVinh 01) (1 + x + 1)2 39, x + = x 2, x + > x + 4( BK 99) 4, x + x < x ( TL 2000) 4x2 < 3(NN 98) x 12 + x x 12 + x x ( Huế 99) 8, x 11 2x 6, 9, x + x + + x + x + x + x + 7( BK 2000) 10, x x + x x + x 1( KT 2001) 11, x + 10 x + x x (Đ ề 135) 12, (4 x )(2 + x ) x x 12(Đ ề 149) 13, ( x + 1) + ( x + 1) + x x + > 0( XD 99) < 2x + 7( TháiNguy ê n 2000) 14, x + 2x x 15, x ( x 4) x + x + ( x 2)2 < 2( HVNH 99) GV:NGUYN MINH NHIấN-TRNG THPT QU Vế