1樓：匿名使用者
(一)計算題:
(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+
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
來自
1.a&b=b/a+a/b
則
2.(-2/3)*(-8/5)+(-0.25)
=(2/3)*(8/5)-1/4
=16/15-1/4
=74/60-15/60
=59/60
3.3=-(-3),5=-(-5)
1: 2 × (6 × (5 - 3))
2: 2 × 6 ×(5 - 3)
3: (2 × 6) × (5 - 3)
4: (2 - 3 + 5) × 6
5: ((2 - 3) + 5) × 6
6: (2 - (3 - 5)) × 6
7: 2 × 3 × 5 - 6
8: (2 × 3) × 5 - 6
9: (2 × 3 × 5) - 6
10: ((2 × 3) × 5) - 6
11: (2 × (3 × 5)) - 6
12: 2 × (3 × 5) - 6
13: (2 + 5 - 3) × 6
14: ((2 + 5) - 3) × 6
15: (2 + (5 - 3)) × 6
16: (2 × (5 - 3)) × 6
17: 2 × (5 - 3) × 6
18: 2 × ((5 - 3) × 6)
19: 2 × 5 × 3 - 6
20: (2 × 5) × 3 - 6
21: (2 × 5 × 3) - 6
22: ((2 × 5) × 3) - 6
23: (2 × (5 × 3)) - 6
24: 2 × (5 × 3) - 6
25: 6 × (2 - 3 + 5)
26: 6 × ((2 - 3) + 5)
27: 6 × (2 - (3 - 5))
28: 6 ÷ 2 ×(3 + 5)
29: (6 ÷ 2) × (3 + 5)
30: 6 ÷ (2 ÷ (3 + 5))
31: 6 × (2 + 5 - 3)
32: 6 × ((2 + 5) - 3)
33: 6 × (2 + (5 - 3))
34: 6 × (2 × (5 - 3))
35: 6 × 2 ×(5 - 3)
36: (6 × 2) × (5 - 3)
37: (6 ÷ 2 + 5) × 3
38: ((6 ÷ 2) + 5) × 3
39: 6 ÷ 2 ×(5 + 3)
40: (6 ÷ 2) × (5 + 3)
41: 6 ÷ (2 ÷ (5 + 3))
42: (6 × (3 + 5)) ÷ 2
43: 6 × (3 + 5) ÷ 2
44: 6 × ((3 + 5) ÷ 2)
45: 6 × (5 + 2 - 3)
46: 6 × ((5 + 2) - 3)
47: 6 × (5 + (2 - 3))
48: 6 × 5 - 2 × 3
49: (6 × 5) - 2 × 3
50: 6 × 5 -(2 × 3)
51: (6 × 5) - (2 × 3)
52: (6 × (5 + 3)) ÷ 2
53: 6 × (5 + 3) ÷ 2
54: 6 × ((5 + 3) ÷ 2)
55: 6 × (5 - 3 + 2)
56: 6 × ((5 - 3) + 2)
57: 6 × (5 - (3 - 2))
58: 6 × 5 - 3 × 2
59: (6 × 5) - 3 × 2
60: (6 × (5 - 3)) × 2
61: 6 × (5 - 3) × 2
62: 6 × ((5 - 3) × 2)
63: 6 × 5 -(3 × 2)
64: (6 × 5) - (3 × 2)
65: 3 × 2 × 5 - 6
66: (3 × 2) × 5 - 6
67: (3 × 2 × 5) - 6
68: ((3 × 2) × 5) - 6
69: (3 × (2 × 5)) - 6
70: 3 × (2 × 5) - 6
71: 3 × (6 ÷ 2 + 5)
72: 3 × ((6 ÷ 2) + 5)
73: (3 + 5) ÷ 2 × 6
74: ((3 + 5) ÷ 2) × 6
75: (3 + 5) ÷ (2 ÷ 6)
76: 3 × 5 × 2 - 6
77: (3 × 5) × 2 - 6
78: (3 × 5 × 2) - 6
79: ((3 × 5) × 2) - 6
80: (3 × (5 × 2)) - 6
81: 3 × (5 × 2) - 6
82: (3 + 5) × 6 ÷ 2
83: ((3 + 5) × 6) ÷ 2
84: (3 + 5) × (6 ÷ 2)
85: 3 × (5 + 6 ÷ 2)
86: 3 × (5 + (6 ÷ 2))
87: (5 + 2 - 3) × 6
88: ((5 + 2) - 3) × 6
89: (5 + (2 - 3)) × 6
90: 5 × 2 × 3 - 6
91: (5 × 2) × 3 - 6
92: (5 × 2 × 3) - 6
93: ((5 × 2) × 3) - 6
94: (5 × (2 × 3)) - 6
95: 5 × (2 × 3) - 6
96: (5 + 6 ÷ 2) × 3
97: (5 + (6 ÷ 2)) × 3
98: 5 × 6 - 2 × 3
99: (5 × 6) - 2 × 3
100: 5 × 6 -(2 × 3)
101: (5 × 6) - (2 × 3)
102: 5 × 6 - 3 × 2
103: (5 × 6) - 3 × 2
104: 5 × 6 -(3 × 2)
105: (5 × 6) - (3 × 2)
106: (5 + 3) ÷ 2 × 6
107: ((5 + 3) ÷ 2) × 6
108: (5 + 3) ÷ (2 ÷ 6)
109: (5 - 3 + 2) × 6
110: ((5 - 3) + 2) × 6
111: (5 - (3 - 2)) × 6
112: (5 - 3) × 2 × 6
113: ((5 - 3) × 2) × 6
114: (5 - 3) × (2 × 6)
115: 5 × 3 × 2 - 6
116: (5 × 3) × 2 - 6
117: (5 × 3 × 2) - 6
118: ((5 × 3) × 2) - 6
119: (5 × (3 × 2)) - 6
120: 5 × (3 × 2) - 6
121: (5 + 3) × 6 ÷ 2
122: ((5 + 3) × 6) ÷ 2
123: (5 + 3) × (6 ÷ 2)
124: (5 - 3) × 6 × 2
125: ((5 - 3) × 6) × 2
126: (5 - 3) × (6 × 2)
(2a^2+3a+2)/(a+1)-(a^2-a-5)/(a+2)-(3a^2-4a-5)/(a-2)+(2a^2-8a+5)/(a-3)
(-1)的3次方-（1-0.5）/
23+(-73)
(-84)+(-49)
7+(-2.04)
4.23+(-7.57)
(-7/3)+(-7/6)
9/4+(-3/2)
(-17/4)+(-10/3)+(+13/3)+(11/3) (2)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(+1.3)-(+17/7)
(-2)-(+2/3)
|(-7.2)-(-6.3)+(1.1)|
(-5/4)-(-3/4)|-|1-5/4-|-3/4|)
1+1/(1+2) +1/(1+2+3)+1/(1+2+3+4)+......+1/(1+2+3+......+2004)
(+1)+(-21/2)+(-83/37)+(-9.5)
(+0.5)+(-13/4)+(-2.75)+(+11/2)
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)
9. 9x^2(x-1)^2-3(x^2-x)-56
=9x^2(x-1)^2-3x(x-1)-56
=[3x(x-1)-8][3x(x-1)+7]
=(3x^2-3x-8)(3x^2-3x+7)
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