2021考研947答案

39+[-23]+0+[-16]= 0

[-18]+29+[-52]+60= 19

[-3]+[-2]+[-1]+0+1+2= -3

[-301]+125+301+[-75]= 50

[-1]+[-1/2]+3/4+[-1/4]= -1

[-7/2]+5/6+[-0.5]+4/5+19/6= 1.25

[-26.54]+[-6.14]+18.54+6.14= -8

1.125+[-17/5]+[-1/8]+[-0.6]= -3

[-|98|+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)

5+21*8/2-6-59

68/21-8-11*8+61

-2/9-7/9-56

4.6-(-3/4+1.6-4-3/4)

1/2+3+5/6-7/12

[2/3-4-1/4*(-0.4)]/1/3+2

22+(-4)+(-2)+4*3

-2*8-8*1/2+8/1/8

(2/3+1/2)/(-1/12)*(-12)

(-28)/(-6+4)+(-1)

2/(-2)+0/7-(-8)*(-2)

(1/4-5/6+1/3+2/3)/1/2

18-6/(-3)*(-2)

(5+3/8*8/30/(-2)-3

(-84)/2*(-3)/(-6)

1/2*(-4/15)/2/3

-3x+2y-5x-7y

有理数加减的混合运算

1.计算问题

(1)3.28-4.76+1 - ;

(2)2.75-2 -3 +1 ;

(3)42÷(-1 )-1 ÷(-0.125);

(4)(-48) ÷82-(-25) ÷(-6)2;

(5)- +( )×(-2.4).

2.计算问题:(10′×5 = 50′)

(1)-23÷1 ×(-1 )2÷(1 )2;

(2)-14-(2-0.5)× ×[( )2-( )3];

(3)-1 ×[1-3×(- )2]-( )2×(-2)3÷(- )3

(4)(0.12+0.32) ÷ [-22+(-3)2-3 × ];

(5)-6.24×32+31.2×(-2)3+(-0.51) ×624.

[-|98|+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)

5+21*8/2-6-59

68/21-8-11*8+61

-2/9-7/9-56

4.6-(-3/4+1.6-4-3/4)

1/2+3+5/6-7/12

[2/3-4-1/4*(-0.4)]/1/3+2

22+(-4)+(-2)+4*3

-2*8-8*1/2+8/1/8

(2/3+1/2)/(-1/12)*(-12)

(-28)/(-6+4)+(-1)

2/(-2)+0/7-(-8)*(-2)

(1/4-5/6+1/3+2/3)/1/2

18-6/(-3)*(-2)

(5+3/8*8/30/(-2)-3

(-84)/2*(-3)/(-6)

1/2*(-4/15)/2/3

-3x+2y-5x-7y

75÷〔138÷(100-54)〕 85×(95-1440÷24)

80400-(4300+870÷15) 240×78÷(154-115)

1437×27+27×563 〔75-(12+18)〕÷15

2160÷〔(83-79)×18〕 280+840÷24×5

325÷13×(266-250) 85×(95-1440÷24)

58870÷(105+20×2) 1437×27+27×563

81432÷(13×52+78) [37.85-(7.85+6.4)] ×30

156×[(17.7-7.2)÷3] (947-599)+76×64

36×(913-276÷23) [192-(54+38)]×67

[(7.1-5.6)×0.9-1.15]÷2.5 81432÷(13×52+78)

5.4÷[2.6×(3.7-2.9)+0.62] (947-599)+76×64 60-(9.5+28.9)]÷0.18 2.881÷0.43-0.24×3.5 20×[(2.44-1.8)÷0.4+0.15] 28-(3.4 1.25×2.4) 0.8×〔15.5-(3.21 5.79)〕 (31.8 3.2×4)÷5 194-64.8÷1.8×0.9 36.72÷4.25×9.9 3.416÷(0.016×35) 0.8×[(10-6.76)÷1.2]

(136+64)×(65-345÷23) (6.8-6.8×0.55)÷8.5

0.12× 4.8÷0.12×4.8 (58+37)÷(64-9×5)

812-700÷(9+31×11) (3.2×1.5+2.5)÷1.6

85+14×(14+208÷26) 120-36×4÷18+35

(284+16)×(512-8208÷18) 9.72×1.6-18.305÷7

4/7÷[1/3×(3/5-3/10)] (4/5+1/4)÷7/3+7/10

12.78-0÷( 13.4+156.6 ) 37.812-700÷(9+31×11) (136+64)×(65-345÷23) 3.2×(1.5+2.5)÷1.6

85+14×(14+208÷26) (58+37)÷(64-9×5)

(6.8-6.8×0.55)÷8.5 (284+16)×(512-8208÷18)

0.12× 4.8÷0.12×4.8 (3.2×1.5+2.5)÷1.6

120-36×4÷18+35 10.15-10.75×0.4-5.7

5.8×(3.87-0.13)+4.2×3.74 347+45×2-4160÷52

32.52-(6+9.728÷3.2)×2.5 87(58+37)÷(64-9×5)

[(7.1-5.6)×0.9-1.15] ÷2.5 (3.2×1.5+2.5)÷1.6

5.4÷[2.6×(3.7-2.9)+0.62] 12×6÷(12-7.2)-6

3.2×6+(1.5+2.5)÷1.6 (3.2×1.5+2.5)÷1.6

5.8×(3.87-0.13)+4.2×3.74

33.02-(148.4-90.85)÷2.5

(1)计算题:

(1)23+(-73)

(2)(-84)+(-49)

(3)7+(-2.04)

(4)4.23+(-7.57)

(5)(-7/3)+(-7/6)

(6)9/4+(-3/2)

(7)3.75+(2.25)+5/4

(8)-3.75+(+5/4)+(-1.5)

(9)(-17/4)+(-10/3)+(+13/3)+(11/3)

(10)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)

(11)(+1.3)-(+17/7)

(12)(-2)-(+2/3)

(13)|(-7.2)-(-6.3)+(1.1)|

(14)|(-5/4)-(-3/4)|-|1-5/4-|-3/4|)

(15)(-2/199)*(-7/6-3/2+8/3)

(16)4a)*(-3b)*(5c)* 1/6

1.3/7 × 49/9 - 4/3

2.8/9 × 15/36 + 1/27

3.12× 5/6 – 2/9 ×3

4.8× 5/4 + 1/4

5.6÷ 3/8 – 3/8 ÷6

6.4/7 × 5/9 + 3/7 × 5/9

7.5/2 -( 3/2 + 4/5 )

8.7/8 + ( 1/8 + 1/9 )

9.9 × 5/6 + 5/6

10.3/4 × 8/9 - 1/3

0.12χ+1.8×0.9=7.2 (9-5χ)×0.3=1.02 6.4χ-χ=28+4.4

11.7 × 5/49 + 3/14

12.6 ×( 1/2 + 2/3 )

13.8 × 4/5 + 8 × 11/5

14.31 × 5/6 – 5/6

15.9/7 - ( 2/7 – 10/21 )

16.5/9 × 18 – 14 × 2/7

17.4/5 × 25/16 + 2/3 × 3/4

18.14 × 8/7 – 5/6 × 12/15

19.17/32 – 3/4 × 9/24

20.3 × 2/9 + 1/3

21.5/7 × 3/25 + 3/7

22.3/14 ×× 2/3 + 1/6

23.1/5 × 2/3 + 5/6

24.9/22 + 1/11 ÷ 1/2

25.5/3 × 11/5 + 4/3

26.45 × 2/3 + 1/3 × 15

27.7/19 + 12/19 × 5/6

28.1/4 + 3/4 ÷ 2/3

29.8/7 × 21/16 + 1/2

30.101 × 1/5 – 1/5 × 21

31.50+160÷40 (58+370)÷(64-45)

32.120-144÷18+35

33.347+45×2-4160÷52

34(58+37)÷(64-9×5)

35.95÷(64-45)

36.178-145÷5×6+42 420+580-64×21÷28

37.812-700÷(9+31×11) (136+64)×(65-345÷23)

38.85+14×(14+208÷26)

39.(284+16)×(512-8208÷18)

40.120-36×4÷18+35

41.(58+37)÷(64-9×5)

42.(6.8-6.8×0.55)÷8.5

43.0.12× 4.8÷0.12×4.8

44.(3.2×1.5+2.5)÷1.6 (2)3.2×(1.5+2.5)÷1.6

45.6-1.6÷4= 5.38+7.85-5.37=

46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=

47.6.5×(4.8-1.2×4)= 0.68×1.9+0.32×1.9

48.10.15-10.75×0.4-5.7

49.5.8×(3.87-0.13)+4.2×3.74

50.32.52-(6+9.728÷3.2)×2.5

51.-5+58+13+90+78-(-56)+50

52.-7*2-57/(3

53.(-7)*2/(1/3)+79/(3+6/4)

54.123+456+789+98/(-4)

55.369/33-(-54-31/15.5)

56.39+{3x[42/2x(3x8)]}

57.9x8x7/5x(4+6)

58.11x 22/(4+12/2)

59.94+(-60)/10

1.

a^3-2b^3+ab(2a-b)

=a^3+2a^2b-2b^3-ab^2

=a^2(a+2b)-b^2(2b+a)

=(a+2b)(a^2-b^2)

=(a+2b)(a+b)(a-b)

2.

(x^2+y^2)^2-4y(x^2+y^2)+4y^2

=(x^2+y^2-2y)^2

3.

(x^2+2x)^2+3(x^2+2x)+x^2+2x+3

=(x^2+2x)^2+4(x^2+2x)+3

=(x^2+2x+3)(x^2+2x+1)

=(x^2+2x+3)(x+1)^2

4.

(a+1)(a+2)+(2a+1)(a-2)-12

=a^2+3a+2+2a^2-3a-2-12

=3a^2-12

=3(a+2)(a-2)

5.

x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2

=[x(y+z)-y(x-z)]^2

=(xz+yz)^2

=z^2(x+y)^2

6.

3(a+2)^2+28(a+2)-20

=[3(a+2)-2][(a+2)+10]

=(3a+4)(a+12)

7.

(a+b)^2-(b-c)^2+a^2-c^2

=(a+b)^2-c^2+a^2-(b-c)^2

=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)

=(a+b-c)(a+b+c+a-b+c)

=2(a+b-c)(a+c)

8.

x(x+1)(x^2+x-1)-2

=(x^2+x)(x^2+x-1)-2

=(x^2+x)^2-(x^2+x)-2

=(x^2+x-2)(x^2+x+1)

=(x+2)(x-1)(x^2+x+1)

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