Bài soạn He PT On vao truong chuyen

BÀI TẬP HỆ PHƯƠNG TRÌNH Giải các hệ phương trình sau : 1. + + = −  −  + = −  2 2 1 ( 99) 6 x xy y MTCN x y y x 2.  + =  −  − + =   2 2 4 2 2 4 5 ( 98) 13 x y NT x x y y 3.  + =  −  + =   2 2 3 3 30 ( 93) 35 x y y x BK x y 4.  + =  −  + = +   3 3 5 5 2 2 1 ( 97) x y AN x y x y 5.  + + =  −  + + =   2 2 4 4 2 2 7 ( 1 2000) 21 x y xy SP x y x y 6. + + =  −  + + + =  2 2 11 ( 2000) 3( ) 28 x y xy QG x y x y 7. ( )    =−− =++++ 6)1)(1( 3)1(1 22 yx yyxx 8. ( ) ( )    =++++ =++ 17)1()1( 811 xyyyxx yx 9.      −=+− −=++ )(6 )(7 22 222 yxyxyx yxyxyx 10.    =−− =−−+ 36)1()1( 12 22 yyxx yxyx 11.        =+++ =+ 4 11 2 yx yx x y y x 15.      =−+ =++ 2222 2222 3 yxxyyx yxxyyx 16. + + =  −  + + =  2 ( 2)(2 ) 9 ( 2001) 4 6 x x x y AN x x y 17. + + =  −  + + − =  2 (3 2 )( 1) 12 ( 97) 2 4 8 0 x x y x BCVT x y x 18. + =  −  + + =  2 2 3 3 4 ( 2001) ( )( ) 280 x y HVQHQT x y x y 19.  + + =   −   + + =   2 2 2 2 1 ( )(1 ) 5 ( 99) 1 ( )(1 ) 49 x y xy NT x y x y 20. ( )      =         ++ +=+ 24 1 1 )1(2)1( 22 22 22 yx yx yxxy 21.  + + + =   −   + + + =   2 2 2 2 1 1 4 ( 99) 1 1 4 x y x y AN x y x y 22.        =++ = + + + 6) 1 1)(( 3 2 11 22 xy yx y y x x 23.      =+++ =+++ 4 1 622 22 y x x y xy xy xyxyxyyx 12.        =+++ =+++ 4 4 22 x y y x yx x y y x yx 13.      =−+ =++ 1 11 3 22 xy yx xyyxyx 14.      ++= = + + + 13 2 1 2 )1( 2 2 )1( 2 yxxy x y y x 24.        =         ++ =+ 5 1 1)( 4 1 xy yx xy xy 25.        =         ++ =         ++ 18 1 1)( 6 1 1)( 2 22 xy yx xy yx 26.        =         ++ =         ++ 27 1 1)( 9 1 1)( 3 33 2 22 xy yx xy yx 27.      −=− −=− 232 232 22 22 xyy yxx (QG-00) 28.      −= −= xyy yxx 3 3 2 2 (MTCN-98) 29.      += += xyy yxx 23 23 2 2 30.        += += x x y y y x 1 2 1 2 2 2 31.  = +  −  = +   3 3 3 8 ( 98) 3 8 x x y QG y y x 39.        − = − = 2 2 1 2 1 2 x x y y y x 40.      −=+ −=+ 22 22 22 22 xyxy yxyx 41.      =−− −=++ 732 13 22 22 yxyx yxyx 42.      =+ =+ 5 10 23 23 xyy xyx 43.      =+− −=+− 133 13 22 22 yxyx yxyx 44.      =− =− 19 2)( 33 2 yx yyx 55.      +=+ =++ yxyx yxyx 3 1 33 22 56.      ++=+ −=− 2 3 yxyx yxyx 57.      =+ −=− 4 263 22 2 yx xyxyy 58.      =++ =++ 3 42 2 2 xxyx yxyx 59.      =++ =++ 75 522 2 2 xxyy yxyx 60.      =++− =++ 945 3 2 22 yxxyy xyyx 2 32.      += += xyy yxx 2 2 3 3 33.      += += xyy yxx 5 5 3 3 34.      −= −= 12 12 3 3 xy yx 35.      += += 223 223 23 23 xyy yxx 36.  + =   −   + =   1 3 2 ( 99) 1 3 2 x y x QG y x y 37.        =+ =+ 2 2 3 2 3 2 y xy x yx (TL-01) 38.        + = + = 2 2 2 2 2 3 2 3 y x x x y y 45.      =++ =−− 15))(( 3))(( 22 22 yxyx yxyx 46.      =++ =−− 175))(( 7))(( 22 22 yxyx yxyx 47.      =++ =++ 422 42 22 22 yxyx yxyx 48.      =− =+ xyx xyx 33 33 2 2 49.    =+ =+ xyxy yxyx 32 2 2233 50.      =+− =++ 122 222 222 222 xyyxyx xxyx 51.      =++ =+ 222 22 31 2)1( xxyyx yx 52.      =+ =+ 3333 3 32 2 yxyx xyyx 53.      += =−+ yxx xyyx 3 22 2 1 54.      +=+ =++ xyyx yxyx 22 3 33 22 61.      −+=+ =++ 9572 3 2 22 yxxyx xyyx 62.      =−−++ =+ 22 2 22 22 xyyxxyyx yx 63.      =+ =+ 32 32 2 2 yxx xyx 64.      =+ =+− 2 44)1( 22 2 yx yyx 65.      += −=− 12 11 3 xy y y x x (A-03) 66.        −=+++ −=++++ 4 5 )21( 4 5 24 232 xxyyx xyxyyxyx (A-08) 67.      +=+ +=++ 662 922 2 2234 xxyx xyxyxx (B-08) 68.      −=−− −=++ xxxyyx yxyxxy 2212 2 22 69.      =+−+−− −+= 01681645 )4)(45( 22 2 yxxyxy xxy 70.      =−++ =+++ yxyx yxyyx )2)(1( 4)(1 2 2 71.        = + + = + +++ 3 )( 1 2 7 )( 3 )(44 2 22 yx x yx yxxy 72.    =−−+ =−− 3342 1623 22 yxyx yxxy 73.      =− =+ 6)2( 8)32( 3 3 yx yx 74.      =+ =+− 1 32 22 22 yx xyx 75.      =+ =+ 162 2 1 23 22 xyx yx 76.      =+ =+ 13 3 22 23 yx yxyx 77.        = + ++ =         ++ 4 1 4 1 1)( 22 xy yx xy xy xy yx 78.      =         ++ =++−+ 8 1 1)( 02)62( 2 22 xy yx xyyxxy 81.      =+++ =+++ 4 11 4 22 22 y x x y yx xyyxyx 82.      =+ +=+ 13 )1()1( 22 22 yx yxxy 83.      −−= ++−= 262 43 3 3 yyx xxy 84.        += +− + += +− + xy yy xy y yx xx xy x 2 3 2 2 3 2 92 2 92 2 85.      ++=+ ++=+ 321 321 xy yx (*) 86.      =+++ =+++ 11 24 yyy yxx 87.      =++ =++ 11 24 4 4 yx yx 88.    =+−+++ =− 524352 32 yxyx yx 89.      =++ =+ 17 7 22 xyyx yx 90.      −+=+− =++ 33223 35 yxyx yx 92.      =−−+−− =+ 3354 43 yxyx x y y x 93.      =−++ =−++ 8 4 2222 yxyx yxyx 94.      =+ =++ 4 282 22 yx xyyx 95.      =+ +=+ 6 )(3)(2 3 3 3 2 3 2 yx xyyxyx 96.  + = +  −   + =  7 1 ( 99) 78 x y y x xy HH x xy y xy 97.      = =+ 9 3 411 xy yx 98.      =−+ =−+ 22 22 xy yx 99.      =++ =++ 224 224 xy yx 100.      =++ =++ 11 11 xy yx 101.      =−++ =−++ 479 479 xy yx 4 79.        =++ =++ 3 1 4 1 2 2 x xyx x yx 80.      =++ =++ 3 11 42 2 2 y x xy x xyxyyx 91.      −=+− +=+ 222 1 2 yyx xyx 102.  + + − =  −  + + − =   5 2 7 ( 1 2000) 5 2 7 x y NN y x 103.      =+++ =++++ 71312 722 yx yxyx 104.      =+++ −+−+−=+++++ 80 531531 22 yxyx yyyxxx 105.      =+++++++ =+++ 61111 311 yxxyyx yx 106.  + + + + + + + + + =  −  + + + − + + + + − =   2 2 2 2 1 1 18 ( 99) 1 1 2 x x y x y x y y AN x x y x y x y y 107. Giả sử hệ    =++ =++ 1 2 222 zxyzxy zyx có nghiệm (x, y, z): CMR : 3 4 ,, 3 4 ≤≤− zyx . BÀI TẬP HỆ PHƯƠNG TRÌNH Giải các hệ phương trình sau : 1. + + = −  −  + =