Xin giới thiệu tới các bạn học sinh Bài tập Đại số lớp 9, giúp các bạn ôn tập kiến thức dễ dàng hơn và nắm các phương pháp giải bài tập nhằm chuẩn bị thật tốt cho kì thi sắp diễn ra. Mời các bạn cùng tham khảo!
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x 9) x x 1 x : A b/ x x 1) : x x : x x x x : x x Z : E a b/ a 4a a a a a a : a a a 1) a : F 4) a a a x x : x 1 x : K x 2 x x a : F x x x a a : x x x x 1; x 4) x x : x x x M x x 4) x x : x x x 9) x x x x ; x 9) x x : x 1) x x x x 4) = A x + x a a : a a c/ x a a 2 b 1 b 3 b 9) b b : N : A : a : D x Z :G 1) : H x x 4) a : D : I x x M 15 10 x x 15 a a 4) a : P x 2 x + 3a = x x x 4) :C : D x x 1 : x 1 : x Z x x 1; x 9) x x 1) x x x x :Q : R x x x x x x x 1) x x Q Q x x x x x 4; x 9) :T x x x : x x : x x x 49 x x M : x x x 10 x x 4) : S a2 : A a a a a a a a a 2x x x x 1) A A : K x x x x x 1 x x 1 x x : x x x 1 :C x x x x x x 1) : L x x x x x 1) x : B x x x x x : x 1 x 1) x L : E x : x x x 2) x : H x2 x x x x x x 0) : G a a a a a a a : N a2 a 2a a a a a a N : 2) 1) 2) 1) b/ 12 d/ 32 10 24 11 3 : 21 3 y= c/ t a/ a/ 5 2) b/ 125 45 180 : 2) c/ 14 10 35 d/ 12 2 2 3 2 : y= a/ 2) b/ 112 63 28 2) c/ 10 d/ 7 1; 3) 15 21 : x y= a/ 2) 2) 5 7 b/ 28 12 21 c/ 14 21 3 21 d/ : y= 3x b/ c/ 14 2) 10 2) 5) a/ d/ 3 17 17 34 2 : y=3 b/ (D2) 2 11 10 3 2 : 11 22 3 6 b/ 15 200 450 50 : 10 2) c/ 14 20 d/ x y= d/ 18 c/ a/ 2) 99 y=5 41 12 a/ 2) : 11 a/ 6 11 11 2) b/ 27 48 75 2) 4) c/ 5 2 d/ song song (d1 3 5 : y= x a/ b/ 12 23 15 2) 48 108 192 : 2) c/ 2 d/ 11 5 : y= x a/ 22 10 b/ 27 21 2 2) 2) c/ d/ 1 3x 3 2) 2) : a/ c/ 12 60 b/ 42 60 d/ 27 3 : b/ 2) 96 c/ 7 3 a/ 2) 12 112 y=1 d/ 175 51 10 2 15 10 6 10 6 15 1: 2: 80m 4m 195m2 m2 2x x x 2) x 2x 3) 4x 2x 4) 5x 1) y y 2y y 20 y 13 y 3y 2y 23 5) x 2y x 3y 6) 99 x y 17 5x y 5x 7) x y y 5 7y 3x 5 y 2x x y x 2y 3x y 2) x 2y 2x y 3) 4x y 2x y 4) 3x y 1) 20 13 13 5) x 2y x 3y 6) y 7x 2x y 2x 7) x y y 2 3y 2x y 2x 84m2 2x y x y 3x y 11 2) x y 20 1) x y 3) 3 x 3y 4) 5) x y 11 5x y x y 2x y 6) 4x x 3y y 2x x 3x 2) 4x x 3) 3x 1) 3y 4y 2y 3y 12 y 2y 4) x y x 3x y 5) 3x 2y x y x y 6) x y 2 1) x 11y 10 x 11y 31 4) x y 7x 3y x x y 1) 2x y 9x y 4) sau: x y y 3x y y 2) x 0,5y 2x y 5) 5x 5)x (1 2x y 3) x y y 2) y x y 2 y 2 6) x 5) x y 3) 3x y 2x 3y x y x 6) 5y 5x y 5 : 2 2: 1) x y 10 x 2y 4) 2) 5) x y 3) 14 5x y 6) x y 11 y x y 31 y 2: x y 13 1) 4x y x 3y 2) 2x y 4x 3y 2 3 2x y 3 x y x y 2x 3y 2) 5x y 1) y x 3) x y 15 12 4) 5) x 2y 3x y 2 2 x y x 2x y 3x y x 5) 2y x x y 3) 5x y x x 3x 2) 2x 1) 12 x 3y 3 y 6) x y y y 13 2y 12 4y 4) 5) 2y 2,3 3) 3y x 0,8 x y xy x y xy 2x y 3x y 3x 6) y 4y x 2x y x 3y 2x y x 3y 3x 2x x y 4) 6) 3 3x 2 y 2x y 20 H : 54 1) x 3y 2) 3x y x 3) y x y 10 4) 5) x 3 x y x x 3y 2 2x 6) y y 3x 2 y 2x 3 y x 3x 3x 2) 6x 1) y 2y 2y y 2x y 3) x y 10 4) 5) 6) x y x y x y x y 5x y x 5y x y x 2y 11 100 10m2 1) 2) 3x 3) 5x 5) 7y 41 3y 11 x 3y x 2y x 2y x y 12 x 2y 4) 5 x y x y x y x y 15 6) 2x y 3x y 13 y 3x 10 2) 18 x 32 y 40 5) 3x y 3x 6) 3y 3x 3y 3x 3y 2x y 3x x 2x 2) x 3) ,n 60m2 6) y x 12 x y 2y 11 2x y 10 x 5) x 2y 2x y 6) 2 6x y 2x y 3y 5 12 5s 3t s 3t s t t ,n 2m 42m2 4) 2x 3y 5) 5x y x y x x y x xy y x y y x y 2 xy x 2y x y 3x y 2) 2x y 1) 2x y 3x y 3) x 4021 4021 x y hai y y 3y y 3s 2t 4) s 3t y x y 4) 4y 5y 3y x y x y 2x y 12 4) x y x 2x 2x 2) x 2011x 2010 y 2010 x 2011 y 3) x 2 3y 5) 2x 3y 1) 5x y 1) x x y 18 2 1) 3) y 17 8m2 y x y 13 3y x 18 2) y 10 x 1) 99 21 3) x 2y 4x 3y 4) 2x 3 y 2x 6y 5 2 x y x y 5) 2x y 6x y 2mx 1: a/ hai ng A t x1, x2 A = x12 x 22 x12 x x1x 22 (x1 x ) x1 x 11: Cho x2 4x + m a/ 1> 3x m 2: x1 x2 x2 A a/ 1, x2 a/ x13 x 32 27 3: Cho x2 (m 1)x m = x1, x2 a/ x1, x2 A B 4: x x x12 x22 12: Cho x2 mx + m 2 x12 x1 x2 x22 2x m2 + 4m x1 x2 x1 x2 x12 x22 x1 x2 13: Cho x2 a/ t x1, x2 x12 x 22 4x1x 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 (2m + 1)x + 15: Cho x2 2x + m a/ a/ x1, x2 :x x1, x2 7x1x x12 x 22 (2m 1)x + m2 m x12 x 22 x12 x 22 3x1x 16: Cho x2 (m + 2)x + m a/ x1 ; x2 R = 6x1x2 x x (m + 2)x m b/ : Cho 2 x1, x2 a/ 1, x2 b/ : x2 x1 x22 3x1 x2 A = x12 x x1x 22 6x m2 + 8m = x x22 17: Cho 2(mx + 1) x2 1, : Cho x x2 x x (2m 1)x m2 x x1 x2 x22 18: Cho x(x 2m) = 2 x1, x2 x1, x x1 , x 2 x1, x2 A 10 A x13 x 32 = K x 48 x x1 x2 2 2mx 19: : Cho x2 2mx + m2 m + = 4m a/ 1, 20: x2 a/ b/ x1, x2 2 A x x x1 x2 (2m 1)x + m2 x1 ; x2 a/ x b/ 21: 2m x2 (2m A x1 x2 x1 x2 : Cho x2 (2m + 3)x + m2 + 3m + = x1 ; x2 a/ x : Cho x2 b/ b/ 2m x2 17m x1, x2 a/ Ch R x1, x2 : Cho x2 4x + 5m2 + 2m = 1x2 4x1 = 23: a/ x1 x2 x=- b/ x13 x23 35 x1, x2 24: Cho 3(mx + 1) x2 x : Cho x2 2(m x 18 x1 x2 1, x2 1, x2 2 x 8=0 x 2 1)x + m2 x1 x 4m 1=0 1, x2 x1x 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 x1, x2 x22 x1 x2 3x1 3x2 A x x x1 x2 2 26: Cho x2 : Cho 2(mx + 1) x1, x2 x2 1, x2 2 x x 27: Cho x2 (m 1)x + 2m x1, A x12 x1 x22 x2 2 x12 x22 : Cho x2 4x + m = x2 x1 x2 x2 x1 : Cho x2 2x + m = a/ 3x1 2x2 = : Cho x2 2(2m + 1)x + 3m2 + 6m = x2 3x1 x2 1, A x12 x22 x12 x22 1, 2m x2 x2 m2 : Cho x2 + 3x + m = x1 x x12 x1 x22 x2 14 x1 = 2x2 (2m 3)x + m2 2m + = c x1, x2 5x = 16 2x 2m2 x1, x2 a/ : Cho x2 x1, x2 1, a/ : Cho x2 : Cho x2 + (2m 1)x + m2 = A x12 x1, x2 x2 32 x x2 x12 x22 : Cho x2 : x2 a/ x1, x2 a/ R x x 17 : Cho x2 2mx + m2 m b/ x1; x2 x1 x2 : 4x + 2(3 2m)x + m2 3m + = x1, x2 x1 x2 : Cho x + 2mx 2m a/ b/ :x a/ b/ x1, x2 x1 x2 x22 2(m + 1)x + m + 3m x12 x 22 x1x : (m 1)x2 2(m : x 2 2m x 3m2 2=0 1, x2 22 m 1) a/ a/ 1, R x22 x1 x2 : x2 2(m 1)x + m2 a/ nh nh t 3m A=x1x2 + 2x1 + 2x2 1, x2 320m2 4m 1: = 0, (3m 2)x 5x2 = 50: m b/ x b/ c/ x1 ; x2 b/ x12 ? 2: 3: 4: 5: 6: 7: 128m2 chu vi 140m c 1176m ao 5/3 2/3 280m 240m 150m2 8: 000 sau v 12: 286.650.000 ? ? a/ 2x 5x = c/ x x d/ 4x4 b/ x 15 4x + 20 = c/ x 12x2 + = 2: Cho (P) : y = 1: a/ 2x2 + 5x x x 2 (D) : y = x d/ 9x4 b/ x2 2x + = 7=0 15 12x2 + = 2: Cho (P) : y = 3: Cho x2 2mx + m = x2 (D) : y = x 2 3: Cho x2 3mx + 3m = a/ a/ x1, x2 x1 x2 , x1 x2 , x12 A= x m x2 theo m x1, x2 x1 x2 , x1 x2 , x12 24 x x1 x2 A= 2 1: a/ 4x2 + 9x = c/ x2 + x = 12 b/ 2y = d/ 3x2 2x + = f/ x x x 10 x x 4 x2 mx + m = m 3x2 x2 (P) : y = 2: a/ 3: x 1, g/ 3x 2x 20 = 2x x2 x h/ x x x (P) : y = a/ x2 x f/ x g/ x 3x = x2 x x h/ 3: Cho x2 b/ 3x2 + 5x + = d/ 3x2 2(x + 1) = e/ x 2 2: a/ 24 x x1 x2 2 1: a/ 2x2 3x = c/ (x + 2)2 = x e/ x 2 m x theo m 2 2mx + 2m = 1, x2 theo m theo m A = x1x x12 x 22 A = x1x x12 x 22 1: x + 27x = c/ 9x2 = 4(3x 1) b/ 4a4 9a2 = a/ e/ x d/ x2 + x = x 1: x2 = a/ x3 c/ (x 3)2 = 10 4x e/ x f/ x2 b/ 9t4 = d/ x2 = 2(3 + x ) 3 x 6 x x2 f/ g/ 3x2 + = 4x4 h/ x x x 10 g/ 9x4 + 8x2 = x 10 x h/ x x2 2x 2: a/ 2: a/ x2 v (D) : y = 3x + (P) : y = (P) : y = x 2 (D) : y = x + 3: (m + 2)x + m + = 3: Cho x2 2x m2 = 1, x2 x1 , x theo m theo m x1 c/ x12 x2 1(x1 1: a/ 4b2 5b = c/ x2 + 2x 63 = e/ x 2) + x2(x2 2) 1: a/ 2c2 = b/ 3x x = d/ 7x2 + = 2x f/ x 2 x f/ x x g/ (2x2 1)2 = x2 + 2(x4 1) x h/ x x x2 2: Cho (P) : y = (D) : y = x (P) 3: Cho x2 + mx + 2m = a/ C b/ 2x2 x = c/ 3x2 = 21 2x e/ 3x x22 3x1x2 = 10 x1 x2 d/ x2 x x 5x + + =0 g/ 3(x4 + 1) = 10x2 14 h/ x x 2: Cho (P) : y = x (D) : y = x + 2 a/ b/ A(2 ; 1) 1, x2 + mx + m 3: Cho x2 1=0 a/ C 1, x2 theo m i m = theo m c/ e/ x12 x x1x 22 x1 2x1x2 + x2 = 1: a/ 7x 42x = c/ 2(3x + 4) = 5x e/ x 2 b/ x d/ 6x 2 x =0 2x 1=0 1: a/ 36x4 49 = c/ = 2x(2x 1) b/ 2x2 6x = d/ 5x2 3(2x 3) = e/ x 21 x f/ x2 x f/ 2 g/ (5x + 2) = 3(10x + 1) 16 30 h/ x x x2 (P) : y = 2: (D) M 3: x2 x g/ x 29x + 100 = x x x x h/ 3 2: (D) song x x2 song (d): y = (P) : y 2 3: Cho x2 2mx + m = 3mx + 3m = x1, x2 b/ theo m c/ x1, x2 x1, x2 theo m c/ d/ x2 theo m x12 x 22 5x1x 18 24 d/ 1: a/ 2x2 2x = c/ x2 = 6(x 1) 1: 18 = b/ x 2 d/ 4x 4x + = e/ x 2 f/ x x2 5x f/ 3: theo m d/ x1, x2 th x12 x 22 x1x 2 1: a/ 25x 2 (2m 1)x m = b/ 16x4 25x2 = ) = 11 d/ 2x(x a/ x x = c/ 2x2 + 5x = e/ x 2 a/ b/ M g/ 3(x2 + 18) = x4 12 h/ x x x2 2: Cho (P) : y = (d) : y = x a/ x1, x2 x2 x1 x2 x1 x x2 3 x g/ 5(x4 1) = 24x2 x h/ x x x2 2: Cho (P) : y = (D) : y = x + a/ b/ -4 3: ng + (2m 1)x + 3m = a/ x1, x2 theo m c/ x1, x2 d/ x12 x 22 x1x 1: a/ 7=0 b/ x4 + 11x2 = b/ x=0 c/ 4x2 5(4x 5) = d/ x2 2 = 2x d/ x2 6x + = 3x e/ x 16 = c/ 3(x2 + 4) + 5x = 3x e/ x 2 f/ x2 2 x f/ x 2 g/ x = 8(x + 6) x x h/ x2 2: Cho (P) : y = 2 g/ 3x (3x + 2) + = x h/ 2 x x x x2 x x2 2: Cho (P) : y = x x 2 x 2 a/ a/ b/ Cho A -2 (4m + 1)x + 2(m 4) = : (m + 5)x m a/ b/ c/ x -3 B i (P) 3: Cho 1, 1, x x x1x x2 theo m i m = x2 ph 1, x2 2 1, x1 x2 65 x2 theo m ... 10 6 91 / 21 31 15 14 21 3 7 3 94 / 96 / 7 46 21 101/ 10 15 100/ 3 2 2 15 20 97 / 2 17 12 10 99 / 95 / 15 20 2 2 2 2 : 28 16 98 / 18 20 2 3 6 : 2/ 3/ a a a a a a 1 a a a 9/ 10/ 11/ ( 12/ 13/ 14/ a a... 2 2 2 2 89/ 3 86/ 7 3 : 81/ 82/ 2 3 80/ : 3 62/ 1 73/ 5 2 2 7 1 5 5 : 5 56/ 10 10 10 5 2 71/ 53/ 14 54/ 69/ 15 12 6 11 11 6 5 5 5 67/ 10 15 12 : 2 2 3 90 / 10 92 / 14 93 / 15 15 21 10 6 91 / 21 31... 21/ 9/ 6 23 / 11 / 11 11 19 10 2 22 / 17 12 10 21 15 2 12 / 19 10 19 / 15 8/ 2 10 / 4 30 / 2 3 2 16 / 18 / 10 21 7/ 2 2 15 / 11 30 6/ 27 / 25 / 26 / 10 48 84 14 12 27 10 2 24 / 19 2 34 1 89 36