Tài liệu Bài tập đại số lớp 9

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9 a a a 2 a 2 1 2 x 2 38/ 39/ 40/ b b 2 b 2 3 a a 4 a a a 4 a a 1 1 a2 4a 2 2 a 5 : 1 16 a a 4 4 47/ a a a a 1 2 a a a 1 2 a x a a a 1 1 x x 1 a 1 : a 1 a 2 a 1 a 52/ a 1 a 1 a 1 2 : 1 a 1 a 1 53/ a 2 54/ a 2 a 2 55/ x a 1 a 1 1 2 a a 1 a 1 a 2 a 2 1 : x x x 1 x 4 a a x 1 1 x x x x 1 1 x 1 : x 57/ x 2 x 2 58/ 3 3 x 1 1 x x 59/ x 2x 2 x x 1 x x 1 1 x x 1 60/ 1 a a a a a a b b a b ab a 1 a a b a 2 a 1 a 1 a x a 62/ 6 2 2 x x 1 1 x 1 a 1 a a 1 63/ 9 a 9 a 6 a a 3 a 3 a 50/ 61/ a 1 1 a a 1 a 4 a 4 2 2 a x 1 2 x x x 43/ x 1 x 1 x x x x 44/ (1 )(1 ) x 1 x 1 45/ 1 x 2 1 1 + 2 2 a 2 2 a x x 8 31 x 2 x 4 56/ 4 b 1 1 : b 4 b 2 x 9 3 x 1 : 9 x x 3 x x 3 41/ 42/ 1 x 2 x 2 1 x b x 4 a 1 1 : a 4 a 4 48/ a a b b a b a a b b 64/ a b a a b b 65/ a b 2 x 1 x 2 x : x 2 2 x x 1 x x 1 a 1 a a a b b a ab ab a3 a b a ab a b a b ab a b a b a b b a b a 2 a b a b 2 15 x 11 3 x 2 x 3 x 2 x 3 1 x x 3 2 x 9 x 3 2 x 1 67/ x 5 x 6 x 2 3 x x 1 x 3 x 5 68/ x 1 x 2 x x 2 81/ 66/ 69/ 2 x 3 x x 3 x 2 x 3 x 1 83/ 84/ x 3 3 x 85/ x 2 x 3 3x 4 x 5 x 1 5 x x 4 x 5 22 5 x x 3 x 1 x 5 71/ x 2 x 15 x 5 x 3 x 27 x 32 x 5 3 x 1 72/ x 2 x 15 x 3 x 5 x x 26 x 19 2 x x 3 73/ x 2 x 3 x 1 x 3 70/ 74/ x x 3 x 2 x 3 2 5 x 4 75/ x x 2 x 3 x 76/ x 2 x 2 x 9 20 77/ x 3 x x x x 2 3 x 2 1 2 4 x 6 x 80/ 12 x 13 x x 12 : 2 x 3 xy x 4 x x 2 x 2 x xy 1 x xy 1 xy : 2x 1 x3 1 x x x 1 x x 2 x 1 x 2 x 1 91/ 2 x 1 x 4 2 x 2 92/ 1 x 1 93/ a 1 a 1 2 x 1 1 6 x 3 x 2 x x3 x x x x x x 1 x x 1 x x 2x 4 x 8 x 4 x 4 x 3 x 2 : x 2 x 2 x x x 1 : x 2 a 1 8 a : a 1 a 1 x x x x 2 2 x 1 x 2 x x a a 3 a 1 4x x 4 x 4 x 2 1 a 1 94/ 4x 5 x 1 x x 2x x 2 x 1 4 x 3 : x 2 y 8x x 1 : 4 x x 2 x :C A x 4 x 2 x 90/ x 2 y 2 1 x 2 87/ x 2 1 x x 13 x 6 10 x 17 x 5 x 6 2 x 3 x x 3 x 3 x 2 x 3 x 1 3 x 2 x 9 x 3 2 x 1 79/ x 5 x 6 x 2 3 x x x 2 x 1 1 : 1 x 3 88/ 78/ x 1 x 1 3 x 2 x 5 x 6 3x 5 x 11 x x 2 1 x 8 4 x x x 3 x x 3 3 x x 1 x 2 x 3 x 4 x 1 86/ 89/ x 3 x x 2 x 28 x 3 x 4 x x x x 1 3 x 1 x 4 4 x 1 : x 1 x x 2 x 1 x 1 : x x x x 2 4). 7 A : B a 2 a 2 a 1 a 2 a 1 1). : B a 1 a x 1 x 1 : x 1 x 1 x 2 1; x 9). x 2 x 1 1 x 1 : A b/ x 1 x 3 1). 1 : x x : x 3 x 1 x x : x 4 x 2 Z. : E a b/ a 4 4a a 2 a 1 a a 1 a 1 : a 1 a 2 a 1 1) a : F 2 4). 1 a 1 a a x x 2 : x 1 1 2 x 1 : K x 2 2 x x 2 1 a 1 : F 2 x 9 x 5 x 6 1 2 a 1 a 1 : x x 4 1 x x 1 1; x 4). x x 3 1 : x x 1 x 1 M 2 5 x x 4 4). x 9 3 x 1 : 9 x x 3 x 9). x 3 2 x 1 x 2 3 x 4 ; x 9) x 1 4 x : x 1 1). 4 x 1 x 2 x 2 x 1 4). = A 3 x + x. a 2 a 1 : a 2 a 3 c/ 1 x 1 a 1 a 2 3 2 2. b 3 1 1 b 3 3 b 9) b 3 b 3 : N : A 1 : a : D 2. x Z. :G 1). : H x 3 1 x 2 4). a : D : I x 1 x 2 M 15 10 1 x x 6 4 15 . 5 1 a 6 2 a 4). a 2 : P 1 x 2 2 x + 3a = 0. 1 2 x 2 x x 4 4). 6 . 5 1. :C : D 1 x 1 x 1 1 : x 1 1 : x Z. x 1 x 3 1; x 9). x 1 x 2 1). x 3 x 1 x 2 x 1 :Q : R x 1 x 1 x 2 x 3 1. x 1 4 x x 1 1). x 1 x Q Q. x 1 x 1 3 x 2 x 5 x 6 4; x 9). :T 7 x 1 x 7 x : 7 x 1 x 1 : x 7 x x 49 x x 4 M 2 1 : x 2 x 2 x 2 10 x x 2 4) : S 1 a2 : A 1 a a 1 a a 1 a a 1 a a 2x 2 x x 1 x 1 1) A A. : K x x x x x 1 1 x x 1 1 x x 1 : x 1 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A B 4: 5 x x x12 x22 12: Cho x2 mx + m 2 2 1 2 x12 4 x1 x2 x22 2x m2 + 4m 2 x1 x2 7 2 x1 2 x2 x12 x22 2 1 x1 x2 13: Cho x2 a/ t x1, x2 x12 x 22 4x1x 2 3 A x13 x 32 2mx 3m2 + 4m 5: . . 1)x 14: m a/ hai m x1, x2 x1, x2 A 6: C A x12 x2 x1 x 2 (2m + 1)x + 15: Cho x2 2x + m a/ a/ x1, x2 2 :x x1, x2. 7x1x 2 x12 x 22 (2m 1)x + m2 m x12 x 22 x12 x 22 3x1x 2 . 16: Cho x2 (m + 2)x + m a/ x1 ; x2 R. 2 1 = 6x1x2 x x (m + 2)x m b/ : Cho 2 2 x1, x2 a/ 1, x2 . b/ : x2 x1 x22 3x1 x2 1 A = x12 x 2 x1x 22 6x m2 + 8m 7 = 0 x x22 17: Cho 2(mx + 1) x2 1, : Cho x 2 x2 sao 3 2 x x (2m 1)x m2 6 x x1 x2 x22 18: Cho x(x 2m) = 2 2 1 x1, x2 0 x1, x 2 . x1 , x 2 2 1 x1, x2 A 3 1 10 A x13 x 32 = 0. K 2 1 x 48 x 6 x1 x2 2 2 2mx 19: : Cho x2 2mx + m2 m + 1 = 0 4m a/ 1, 2 1 20: x2 a/ b/ x1, x2. 2 2 A x x x1 x2 (2m 1)x + m2 x1 ; x2 . a/ 2 1 x b/ 21: 2m 1 x2 (2m A x1 x2 x1 x2 : Cho x2 (2m + 3)x + m2 + 3m + 2 = 0 . 8 x1 ; x2 . a/ 2 1 x : Cho x2 b/ b/ 2m 1 x2 8 17m 0 x1, x2 a/ Ch R. x1, x2 : Cho x2 4x + 5m2 + 2m 3 = 0 1x2 4x1 = 2. 23: a/ 3 x1 x2 x=- . b/ x13 x23 35 . x1, x2 24: Cho 3(mx + 1) x2 x : Cho x2 2(m 2 1 x 18 4 x1 x2 2 1 1, x2 . 1, x2 . 2 2 x 8=0 x 2 2 1)x + m2 x1 x 2 4m 1=0 1, x2. x1x 2 x12 x 22 x22 : Cho x2 25: Cho x2 (m + 1)x m x1, x2 P x12 x : Cho x2 2(m + 4)x + m2 x1, x2 A 2 1 x1, x2 x22 x1 x2 3x1 3x2 A 2 1 x 9 x x1 x2 3 2 2 26: Cho x2 : Cho 2(mx + 1) x1, x2 x2 1, 2 1 x2 2 2 x x 27: Cho x2 (m 1)x + 2m x1, A x12 4 x1 2 x22 4 x2 2 2 x12 x22 : Cho x2 4x + m = 0 x2 x1 x2 5 . x2 x1 2 : Cho x2 2x + m 3 = 0 a/ 3x1 2x2 = 7. : Cho x2 2(2m + 1)x + 3m2 + 6m = 0 x2 . 3x1 x2 1, A x12 x22 x12 x22 1, 2m 1 x2 x2 . m2 : Cho x2 + 3x + m 1 = 0 x1 x 1 x12 x1 x22 x2 14 . x1 = 2x2. (2m 3)x + m2 2m + 1 = 0 c x1, x2. 5x = 16. 1 2 2x 2m2 x1, x2 a/ : Cho x2 x1, x2 1, 4 1 a/ : Cho x2 : Cho x2 + (2m 1)x + m2 = 0 A x12 x1, x2. 4 2 x2 32 x 1 x2 . 3 x12 4 x22 . : Cho x2 : x2 a/ x1, x2. 4 1 a/ 4 2 R. x x 17 . : Cho x2 2mx + m2 m b/ x1; x2 x1 x2 : 4x + 2(3 2m)x + m2 3m + 2 = 0 x1, x2 2 x1 x2 8 . : Cho x + 2mx 2m a/ b/ 2 . 2 :x a/ b/ x1, x2 x1 x2 x22 2(m + 1)x + m + 3m x12 x 22 x1x 2 : (m 1)x2 2(m : x 2 2 2m 1 x 3m2 4 0 2=0 1, x2. 22 m 1) a/ a/ 1, R. x22 2 x1 x2 8 . : x2 2(m 1)x 3 + m2 a/ 1 nh nh t 3m A=x1x2 + 2x1 + 2x2 1, x2 320m2 4m 1: = 0, (3m 2)x 1 5x2 = 6. 50: m. b/ x 2. b/ khi c/ x1 ; x2 b/ x12 2 ? 2 2: 3: 4: 5: 6: 7: . 128m2 2 chu vi 140m c 1176m ao. 2 5/3 2/3 280m. 240m 150m2 2 8: .000. sau v 12: 286.650.000 ? ? a/ 2x 2 5x 7 = 0 c/ x 2 5 x 3 d/ 4x4 b/ x 15 2 4x 5 + 20 = 0 c/ x 2 0 12x2 + 9 = 0 2: Cho (P) : y = 1: a/ 2x2 + 5x 1 2 x 4 1 x 2 2 (D) : y = 5 x 3 d/ 9x4 b/ x2 2x 5 + 5 = 0 7=0 15 12x2 + 4 = 0 2: Cho (P) : y = 3: Cho x2 2mx + m 2 = 0 x2 4 (D) : y = 1 x 2 2 3: Cho x2 3mx + 3m 2 = 0 . a/ 0 a/ x1, x2 x1 x2 , x1 x2 , x12 A= 2 1 x m. 2 x2 theo m. x1, x2 x1 x2 , x1 x2 , x12 24 x 6 x1 x2 A= 2 2 1: a/ 4x2 + 9x = 0 c/ x2 + x = 12 b/ 2y 8 = 0 d/ 3x2 2x 6 + 2 = 0 2 f/ x 2 5 x 1 4 5 x 10 5 x 3 1 x 4 4 2 x2 . 2 . mx + m 1 = 0 m. 3x2 x2 (P) : y = . 4 2: a/ 2 3: . x 1, 0 3 4 g/ 3x 2x 20 = 2x 4 x2 x 2 h/ x 1 x 1 x 2 (P) : y = a/ x2 2 x 2 6 2 3 f/ 5 x 2 0 g/ x 3x = 2 x2 2 x x 5 h/ 5 3 6 3: Cho x2 b/ 3x2 + 5x + 1 = 0 d/ 3x2 2(x 3 + 1) = 0 e/ x 2 0 2 2: a/ 24 x 6 x1 x2 2 2 1: a/ 2x2 3x = 0 c/ (x + 2)2 = 4 x 2 e/ x 2 2 1 m. x theo m. 2 2 2. 2mx + 2m 1 = 0 . 1, x2 theo m. theo m. A = x1x 2 x12 x 22 . A = x1x 2 x12 x 22 1: 3 2 x + 27x = 0 8 c/ 9x2 = 4(3x 1) b/ 4a4 9a2 = 0 a/ e/ x 2 d/ x2 + 2 3 x 2 3 5 = x 2 1: 3 x2 = 0 a/ 2 x3 c/ (x 3)2 = 10 4x e/ x 2 0 f/ 6 x2 b/ 9t4 4 = 0 d/ x2 = 2(3 + x 3 ) 3 3 2 x 3 6 5 3 6 x 0 4 6 5