гдз по алгебре 8 класс макарычев ю. н. и др

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Transcript of гдз по алгебре 8 класс макарычев ю. н. и др

  • 1. I. . 1. 1. : ( ) . aba ;xyyx;ba 12 2 4 3 1 2 22 : ( ) . c c; yx ; m m 2 3 8 3 3 2 22 ++ + + 2. : .nm; a ;xyx 222 3 1 4 1 9 27 : ( ) . a a , a b baa, b 8 33 12 + 3. ; y y :y 3 2 3 131 3 = = = ; y y :y 0 1 111 1 = = = ; y y :y 5 1 1 5 151 5 = = = ; y y :y 1 2 1 1 2 1 1 2 1 = = = ;, , , y y :,y 6251 61 1611 61 = = = ;, y y :y 990 100 11001 100 = = = 4. ( ) ; a :a 10 54 10 522 82 520 8 2 = + = + = + = ; b b :b 2 1 2 6 69 32 63 2 6 3 22 = + = + = + = www.5balls.ru

2. ; x x:x 2 1 1516 2 1 11 28 2 1 1 2 1 8 2 1 1 8 2 1 == = += += ; , ,, , , , , y y y y :,y 413 51 51 3 54 351 51 51 351 3 3 51 =+= += + + = + + = 5. ( ): ( ) ( )( ); a baba a ba 1 11 1 1 22 2 + +++ = + + ( )( ) ( ) ( )( ) ;,51 10 15 19 35 13 113113 2 == + = + + : ( )( ) ., ,,, ,,,, 920 325 300 253 3 1252 31 151 1505115051 2 == + = + +++ 6. 1) ; x x :x 2 1 16 8 313 513 3 5 13 = = + = + = 2) ; x x :x 0 8 0 35 55 3 5 5 = = + = + = 3) ;, , , , , x x :,x 51 23 84 320 520 3 5 20 = = + = + = 4) ; x x :x 3 2 1 30 50 3 5 0 = + = + = 5) ; x x :x 25 18 1 50 36 1 50 86 1750 1786 17 50 17 86 3 17 1 5 17 1 3 5 17 1 === == + = + = 6) ; x x :x 3 31 51 3 5 1 = + = + = 7) ; x x :x 4 83 332 3 8 3 32 3 3 2 5 5 3 2 5 3 5 3 2 5 = == + = + = www.5balls.ru 3. 8) ; x x :x 3 37 57 3 5 7 = + = + = 7. ) ;,, ,, 99001011 1 1 0101 1 011 1 == + = + = ) ;,, ,, 9980002011 1 1 00201 1 0021 1 == + = + = ) ( ) ;,, ,, 01101011 1 1 0101 1 990 1 == + = = ) ( ) .,, ,, 0031003011 1 1 00301 1 9970 1 == + = = 8. : ; t s v = : ) ;s;t 1803 == 60 3 180 ==v (/); ) ;s;,t 22552 == 90 52 225 == , v (/); 9. : ( ) ( ) ; vv s t;svvt;stvtv 21 2121 + ==+=+ ) ;v,v,s 4060250 21 === 52 100 250 4060 250 ,t == + = (); ) ;v,v,s 8075310 21 === 2 155 310 8075 310 == + =t (). : ) t=2,5 ; ) t=2 . 10. : ) xy x y+ ; ) a b ab . 11. www.5balls.ru 4. , . ) x 2 0, .. x 2; ) b - , .. b2 7 0+ > ; ) y y 0 3; ; ) a a 0 1; ; 12. ) x - ; ) 6 3 0 6 3 3 6 1 2 x x x x ; ; ; ; ) x - ; ) x x 0 1; ; ) x - ; x2 25+ ; ) x x 8 0; . 13. ) 5 8 11 y y ; - ) 25 9 9 0 y y ; ,.. y 9; ) ( ) ( ) y y y y y y y y 2 2 2 1 2 1 2 2 0 + = + ; , .. y y 0 2; ; ) y y y + 10 32 , - , y2 3+ ; ) y y y y y + + + 6 15 6 6 0 6 0; , ,.. y y 6 6; ; ) 32 1 7 0 7 0 y y y y y + + + ; , ; .. y y 0 7, 14. ) y x = 1 2 ; : x 2; ) ( ) y x x x = + + 2 3 1 ; : x x 0 1; ; ) y x x = + + 1 5 ; : x 5. 15. www.5balls.ru 5. ) x x = = 3 5 1 5 3 5 1 0 5; ; ( )5 3 5 5 0 3 5 0 8 x x x = = =; ; ; : x = 8; ) x x = = 3 5 0 5 3 5 0 5; ; x x = =3 0 3; ; : x = 3; ) ( ) x x = = 3 5 1 5 3 5 1 5; ; x x = = 3 5 2; ; : x = 2; ) x x = = 3 5 3 5 3 5 3 5; ; x x = =3 15 18; ; : x = 18; 16. ) y y y = = = 5 8 0 5 0 5; ; ; : y = 5; ) 2 3 10 0 2 3 0 1 1 2 y y y + = + = = ; ; ; : y = 1 1 2 ; ) ( ) ( ) x x x x x x x x + = = = = = 1 4 0 1 0 1 0 2 1 0 1; ; ) ; ) ; ; x = 0 x x= + 1 4 0, , : : x = 0 ; x = 1. ) ( ) ( ) x x x x x x x x + = + = = + = = 3 5 0 3 0 1 0 2 3 0 3; ; ) ; ) ; ; x = 0 x x= 3 5 0, , : : x = 0 ; x = 2 17. ) a b > 0; ) a b < 0; www.5balls.ru 6. ) a b < 0; ) a b > 0; 18. ) 3 1 02 x + > , 3 0> x2 1 0+ > x ; ) + < 5 4 02 y , < 0 y2 4 0+ > y ; ) ( )a a + 1 10 0 2 2 , ( )a 1 0 2 a2 10 0+ > a ; ) ( )b b 3 1 0 2 2 , ( )b 3 0 2 ( ) + 3) 5 16 01 5 1 16 10 5 16 1 10 0 = = >, ; : 5 7 16 5 1 10 16 5 1 6 16 , , . 2. 3. 51. ) x y x y 3 3 3 + = + ; ) a b a b 5 5 5 = ; ) a y a y a y + = 2 3 ; ) 5 13 5 13 82 2 2 2 2 b a b a b b a b a = = ; www.5balls.ru 21. ) x y x x y x y+ = + = 9 9 9 9 ; ) 2 2c x b x b c x x b = = ( )2 2 2c x b c x b = . 52. ) ( )m p m p p m p m p p = + + = = + = = m m p p p p 1; ) a b a b a b a b b b+ = + + = = 6 2 6 2 6 3 6 2 ; ) x x x x+ + = + = = 5 9 2 9 5 2 9 3 9 1 3 ; ) 11 5 14 3 2 14 11 5 3 2 14 x x x x x x x + = + = = = 14 7 14 2 1 2 x x x x ; ) 7 13 10 2 3 10 7 13 2 3 10 5 16 10 y y y y y y y y y + = = ; ) 8 25 6 5 2 6 8 25 5 2 6 c c c c c c c + + = + + = = + = +6 30 6 5c c c c . 53. ) 2 3 4 11 2 4 x y xy y x xy + = = + = = 2 3 11 2 4 8 4 2x y y x xy y xy x ; ) 5 8 5 7 8 5 5 a b b a b b + = = + + = = 5 5 7 8 8 8 5 5 5 4a b a b b b b b ; www.5balls.ru 22. ) 3 4 3 4 4 5 4 5 x y y y x y + = = = = 3 3 4 2 4 1 2 4 4 5 4 5 x y y x y y y y ; ) a a a a a a + + = 2 8 2 5 8 3 8 = + + + = = a a a a a a 2 2 5 3 8 4 8 1 2 ; ) 7 5 12 10 19 12 10 15 12 y y y y y y + = = + + = 7 5 10 19 10 15 12 y y y y = + = 18 24 12 4 3 2 y y y y ; ) 11 2 4 2 3 4 4 a b a a b a a b a + = = + + = 11 2 2 3 4 a b a b a b a ( )12 4 4 4 3 4 3a b a a b a a b a = = . 54. ) 17 12 10 + = x x x x = + = 17 12 10 27 13x x x x x ; ) 12 1 3 1 3 32 2 p p p p = = + = 12 1 1 3 3 15 2 32 2 p p p p p ; ) 6 3 5 2 5 6 3 2 5 y y y y y y y + = = ( ) = = = 5 5 5 5 1 5 1y y y y y y ; ) b a b b a b 6 3 2 6 3 2 6 = + = www.5balls.ru 23. ( )3 3 6 3 6 2 b a b a b a = = ; ) 3 5 2 6 5 4 5 p q p p q p p q p + + = 3 2 6 4 5 2 11 5 p q p q p q p p q p + = ; ) 5 2 4 3 4 5 4 c d c d c d c c + = = + = = 5 2 3 5 4 4 4 c d d d c c d c d c ; ) 2 1 6 13 8a b a b a b + = = + + = 2 1 6 13 8 12a a a b b ; ) 4 2 3 2 1 3 1 3 b b b b b + = = + + = = 4 2 2 1 1 3 2 3 2 3 b b b b b . 55. ) 16 4 4 16 4 2 2 x x x x x = = ( )( ) ( )= + = + 4 4 4 4 x x x x ; ) 25 5 5 25 5 2 2 a a a a a+ + = + = ( )( )5 5 5 5 + + = a a a a; ) 3 1 3 1 3 1 3 1 2 2 2 2 2 2 a a b b a b a b a b = + = ( ) ( )( ) = = + = + 3 3 3 3 2 2 a b a b a b a b a b a b ; ) x x x x x + = + = 3 64 11 64 3 11 642 2 2 ( )( ) = + + = x x x x 8 8 8 1 8 ; www.5balls.ru 24. ) ( ) ( ) ( ) 2 2 5 2 2 5 2 2 2 a b a b b a a b a b b a a b + + = + + = ( ) ( ) ( )( ) = = + = = 3 3 3 3 3 2 b a a b b a b a b a a b b a ; ) ( ) ( ) 13 6 11 4 2 2 x y x y x y x y + + + + = ( ) ( ) = + + = + + = 13 6 11 4 2 2 2 2 x y x y x y x y x y ( ) ( ) = + + = + 2 2 2 x y x y x y . 56. ) ( ) ( )a b ab a b ab + = 2 2 = + + + = = a ab b a ab b ab ab ab 2 2 2 2 2 2 4 4; ) ( ) ( ) ( ) ( )a b a b a b a b a b a b a b + + + + = + + + = 2 2 2 2 2 2 2 2 2 2 = + + + + + = a ab b a ab b a b 2 2 2 2 2 2 2 2 ( )= + + = + + = 2 2 2 2 2 2 2 2 2 2 2 2 a b a b a b a b . 57. ) x x x x x 2 2 1 3 10 3 1 10 3 + = + = ( )( ) = = + = + x x x x x x 2 9 3 3 3 3 3, x = 97 : x + = + =3 97 3 100; : 100; ) y y y y y y y + + = + = 7 25 2 2 25 7 2 2 252 2 2 ( )( ) ( )( ) = + = + = + 5 5 5 5 5 5 1 5 y y y y y y y ; y = 51, : www.5balls.ru 25. ( ) + = + = = = 1 5 1 51 5 1 01 1 01 10 y , , ,` ; : 10. 58. ) a a a a a 2 2 43 6 7 6 43 7 6 + = + = ( )( ) = = + = + a a a a a a 2 36 6 6 6 6 6; a = 10 25, : a + = + =6 10 25 6 16 25, , ; : 16 25, ; ) 9 1 9 6 10 9 9 1 6 10 92 2 2 b b b b b b b = + = ( )( ) ( ) ( )( ) = + + = + + = 3 9 3 3 3 3 3 3 3 3 b b b b b b b ; b = 35, : 3 3 3 35 3 3 05 3 1 2 3 2 6 b = = = = = , , : ; : 6. 59. ) x y y x y y x y + = = 1 5 1 1 5 1 5 1 ; ) a c c a c c a c = + = + 3 6 3 3 6 3 6 3 ; ) 2 2 2 2m m n n n m m m n n m n + = = ( ) = = = 2 2 2 2 m n m n m n m n ; ) 5 2 10 2 5 2 10 2 p q p p q p q p q p + = = ( ) ( ) = = = 5 2 2 5 2 2 5 p q q p q p q p ; ) a a a a a a a a 2 2 16 4 8 4 16 4 8 4 + + = + = ( )= + = = a a a a a a 2 2 8 16 4 4 4 4; www.5balls.ru 26. ) ( )x y x y xy y x x y xy x y 2 2 2 2 9 3 6 3 9 6 3 + + = + + = = + = + = x y xy x y x xy y x y 2 2 2 2 9 6 3 6 9 3 ( ) = = x y x y x y 3 3 3 2 . 60. ) 10 3 10 3p p q p q p p p q p p q + = = = = 10 3 7p p p q p p q ; ) 5 5 5 5a a b b b a a a b b a b + = = ( ) = = = 5 5 5 5 a b a b a b a b ; ) x x x x x x = + = 3 1 2 1 3 1 2 1 = + = = x x x x 3 2 1 1 1 1; ) a a b a b b a a a b a b a b2 3 2 2 3 2 + = = = + = = = a a b a b b a a b a b a b 3 2 2 2 2 2 1; ) a a a a a a2 2 2 2 9 3 9 9 3 9 + = = ( )( ) = + = + a a a a 3 3 3 1 3 ; ) y y y y y y 2 2 1 1 1 1 1 1 + = = ( )( ) = = + = + y y y y y y 2 1 1 1 1 1 1. 61. ) 3 5 2 1 7 3 1 2 3 5 2 1 7 3 2 1 x x x x x x x x + + + = + + = www.5balls.ru 27. ( ) = + = + = = 3 5 7 3 2 1 4 2 2 1 2 2 1 2 1 2 x x x x x x x ; x; ) 5 1 5 20 17 20 5 5 1 5 20 17 5 20 x x x x x x x x + + + = + + = ( ) ( ) ( ) = + = = = 5 1 17 5 20 4 16 5 4 4 4 5 4 4 5 x x x x x x x ; x. 62. ) ( ) ( ) ( ) ( ) x x x x x x 2 2 2 2 2 2 5 25 5 5 25 5 = = ( ) ( )( ) ( )( ) = = + = + x x x x x x x x 2 2 25 5 5 5 5 5 5 5 ; ) ( ) ( ) ( ) ( ) x x x x x x x x 2 3 3 2 3 3 25 5 10 5 25 5 10 5 + + = + = ( ) ( ) ( ) = + = = x x x x x x 2 3 2 3 10 25 5 5 5 1 5 . 63. ) ( )x x x x x x x 2 2 2 2 2 16 8 2 16 8 16 16 = + = ( ) ( )( ) = + = + x x x x x 4 4 4 4 4 2 ; ) ( ) ( ) ( ) ( ) 64 2 8 2 8 64 2 8 2 8 2 2 2 2 2 2 + = + = ab a ab a a ab a ab a a ( ) ( ) = + = = 64 2 2 8 64 8 2 2 2 2 ab ab a a a a ( )( ) ( )( ) a a a a a a + = + 8 8 8 8 8 8 . 64. ) c x= : a b x a x b x + = + ; www.5balls.ru 28. ) c x= : 2 22 2 a a y a y a y + = + ; ) c x= : x y xy x xy y xy x y y x 2 2 2 2 6 2 2 6 2 2 3+ = + = + ; ) c x= : 12 6 12 6 6 2 6 2 2 a y ay a ay y ay y y a + = + = + . 65. ) x y x x x y x x y x 2 2 4 2 4 2 4 4 2 4 1+ = + = + ; ) 2 2x y b x b y b = ; ) a a a a a a a 2 2 1 2 2 1 2 2 1 2 + = + = + ; ) a ab a a a ab a a b a 2 3 2 3 3 2 3 3 1 3 = = ; 66. ) a = 2: www.5balls.ru 29. 3 2 1 3 2 2 2 1 12 3 4 2 2 a a = = = ; : 4; ) a = 1 3 : 3 2 1 3 1 3 2 1 3 1 3 1 9 2 3 1 2 2 a a = = = = = = 1 3 5 3 1 3 3 5 1 5 : ; : 1 5 . 67. ) ( )3 5 4 8 4 9x x x = + ; 15 12 8 4 9x x x = + ; 3 21x = ; x = 7; : x = 7; ) ( )19 8 3 66 3x x x = ; 19 8 24 66 3x x x + = ; 11 3 66 24x x+ = ; www.5balls.ru 30. 14 42x = ; x = 3; : x = 3; ) ( ) ( )0 2 0 7 5 0 02 14 16, , , , , ;x x + = 014 1 0 02 14 2 24, , , , ;x x + = 014 0 98 14 2