有理数计算题及答案500道题必须有答案 有理数计算题及答案
500\u9053\u6709\u7406\u6570\u8ba1\u7b97\u9898\u5e26\u7b54\u6848\u7684http://zhidao.baidu.com/question/227239733.html
http://zhidao.baidu.com/question/494488792.html
1\uff0cx-y=2
xy=15 (x=5,y=3)
2,x+y=6
x-y=2 (4,2)
3,x+y=11,xy=30 (x=5,y=6,x=6,y=5)
4,x+y=13,xy=42 (x=6,7,y=7,6)
5,x+y=11,x-y=1 (x=6,y=5)
6,x+y=12,xy=35 (x=5,7,y=7,5)
7,x+y=5,xy=6 (x=2,3,y=3,2)
8,x-y=5,xy=36 (x=6,y=1)
9,x+y=10,xy=25 (x=y=5)
10,x+y=17,y-x=1 (x=8,y=9)
11,xy=2,x-y=1 (x=2,y=1)
12,x+y=3,xy=2 (x=1,2,y=2,1)
13,x+y=12,xy=11 (x=1,11,y=11,1)
14,x-y=8,xy=9 (x=9,y=1)
15,x+y=4,x-y=2 (x=3,y=1)
16,x+y=3,xy=0 (x=0,3,y=3,0)
17,x-y=5,xy=6 (x=6,y=1)
18,y-x=3,xy=28 (x=4,y=7)
19,y-x=2,xy=24 (x=4,y=6)
20,x+y=9,x-y=1, (x=5,y=4)
21. 66x+17y=3967 25x+y=1200 \u7b54\u6848\uff1ax=48 y=47
22. 18x+23y=2303 74x-y=1998 \u7b54\u6848\uff1ax=27 y=79
23. 44x+90y=7796 44x+y=3476 \u7b54\u6848\uff1ax=79 y=48
(4) 76x-66y=4082 30x-y=2940 \u7b54\u6848\uff1ax=98 y=51
(5) 67x+54y=8546 71x-y=5680 \u7b54\u6848\uff1ax=80 y=59
1\u3001\u8ba1\u7b97\uff1a\uff081\uff09\uff0d5\uff0d9+3\uff1b \uff082\uff0910\uff0d17+8\uff1b
\uff083\uff09\uff0d3\uff0d4+19\uff0d11\uff1b \uff084\uff09\uff0d8+12\uff0d16\uff0d23\uff0e
2\uff0e\u8ba1\u7b97\uff1a
(1)-4.2+5.7-8.4+10\uff1b (2)6.1-3.7-4.9+1.8\uff1b
3\uff0e\u8ba1\u7b97\uff1a
\uff081\uff09\uff08-36\uff09-\uff08-25\uff09-\uff08+36\uff09+\uff08+72\uff09\uff1b \uff082\uff09\uff08-8\uff09-\uff08-3\uff09+\uff08+5\uff09-\uff08+9\uff09\uff1b
\uff083\uff09 \uff1b \uff084\uff09-9+\uff08-3 \uff09+3 \uff1b
4\uff0e\u8ba1\u7b97\uff1a
\uff081\uff0912\uff0d\uff08\uff0d18\uff09+\uff08\uff0d7\uff09\uff0d15\uff1b
\uff082\uff09\uff0d40\uff0d28\uff0d\uff08\uff0d19\uff09+\uff08\uff0d24\uff09\uff0d\uff08\uff0d32\uff09\uff1b
\uff083\uff094.7\uff0d\uff08\uff0d8.9\uff09\uff0d7.5+\uff08\uff0d6\uff09\uff1b
\u7b54\u6848\uff1a
1\u3001\uff081\uff09\uff0d11\uff1b\uff082\uff091\uff1b\uff083\uff091\uff1b\uff084\uff09\uff0d35
2\u3001\uff081\uff093.1\uff1b\uff082\uff09\uff0d0.7\uff1b\uff083\uff09 \uff1b\uff084\uff09
3\u3001\uff081\uff0925\uff1b\uff082\uff09\uff0d9\uff1b\uff083\uff09 \uff1b\uff084\uff09\uff0d9
4\u3001\uff081\uff098\uff1b\uff082\uff09\uff0d41\uff1b\uff083\uff090.1
(1) (-9)-(-13)+(-20)+(-2)
(2) 3+13-(-7)/6
(3) (-2)-8-14-13
(4) (-7)*(-1)/7+8
(5) (-11)*4-(-18)/18
(6) 4+(-11)-1/(-3)
(7) (-17)-6-16/(-18)
(8) 5/7+(-1)-(-8)
(9) (-1)*(-1)+15+1
(10) 3-(-5)*3/(-15)
(11) 6*(-14)-(-14)+(-13)
(12) (-15)*(-13)-(-17)-(-4)
(13) (-20)/13/(-7)+11
(14) 8+(-1)/7+(-4)
(15) (-13)-(-9)*16*(-12)
(16) (-1)+4*19+(-2)
(17) (-17)*(-9)-20+(-6)
(18) (-5)/12-(-16)*(-15)
(19) (-3)-13*(-5)*13
(20) 5+(-7)+17-10
(21) (-10)-(-16)-13*(-16)
(22) (-14)+4-19-12
(23) 5*13/14/(-10)
(24) 3*1*17/(-10)
(25) 6+(-12)+15-(-15)
(26) 15/9/13+(-7)
(27) 2/(-10)*1-(-8)
(28) 11/(-19)+(-14)-5
(29) 19-16+18/(-11)
(30) (-1)/19+(-5)+1
(31) (-5)+19/10*(-5)
(32) 11/(-17)*(-13)*12
(33) (-8)+(-10)/8*17
(34) 7-(-12)/(-1)+(-12)
(35) 12+12-19+20
(36) (-13)*(-11)*20+(-4)
(37) 17/(-2)-2*(-19)
(38) 1-12*(-16)+(-9)
(39) 13*(-14)-15/20
(40) (-15)*(-13)-6/(-9)
(41) 15*(-1)/12+7
(42) (-13)+(-16)+(-14)-(-6)
(43) 14*12*(-20)*(-13)
(44) 17-9-20+(-10)
(45) 12/(-14)+(-14)+(-2)
(46) (-15)-12/(-17)-(-3)
(47) 6-3/9/(-8)
(48) (-20)*(-15)*10*(-4)
(49) 7/(-2)*(-3)/(-14)
(50) 13/2*18*(-7)
(51) 13*5+6+3
(52) (-15)/5/3+(-20)
(53) 19*4+17-4
(54) (-11)-(-6)*(-4)*(-9)
(55) (-16)+16-(-8)*(-13)
(56) 16/(-1)/(-10)/(-20)
(57) (-1)-(-9)-9/(-19)
(58) 13*20*(-13)*4
(59) 11*(-6)-3+18
(60) (-20)+(-12)+(-1)+(-12)
(61) (-19)-3*(-13)*4
(62) (-13)/3-5*8
(63) (-15)/1+17*(-18)
(64) (-13)/3/19/8
(65) (-3)/(-13)/20*5
(66) 3/12/(-18)-18
(67) 5*(-19)/13+(-6)
(68) 4+4*(-19)-11
(69) (-2)+17-5+(-1)
(70) 9+(-3)*19*(-19)
(71) (-12)-(-6)+17/2
(72) 15*(-5)-(-3)/5
(73) (-10)*2/(-1)/4
(74) (-8)*16/(-6)+4
(75) 2-11+12+10
(76) (-3)+(-20)*(-7)*(-9)
(77) (-15)+8-17/7
(78) (-14)*10+18*2
(79) (-7)+2-(-17)*19
(80) (-7)/18/1+1
(81) 11/(-9)-(-16)/17
(82) 15+5*6-(-8)
(83) (-13)*(-18)+18/(-6)
(84) 11-(-1)/11*(-6)
(85) (-4)+(-12)+19/6
(86) (-18)/(-1)/(-19)+2
(87) 9*(-8)*(-6)/11
(88) 20*(-3)*(-5)+1
(89) (-18)-2+(-11)/20
(90) 15*1+4*17
(91) 1-10+(-14)/(-1)
(92) 10+(-4)*(-19)+(-12)
(93) 15/14/5*7
(94) 8+(-13)/3+1
(95) (-14)+6+(-2)*(-14)
(96) (-5)/(-13)/4+7
(97) (-15)/(-2)/(-12)+(-2)
(98) (-17)-(-20)-20*(-10)
(99) (-7)-10-13/3
(100) (-20)+(-18)+11+9
\u7b54\u6848\uff1a
1 -18
2 103/6
3 -37
4 9
5 -43
6 -(20/3)
7 -(199/9)
8 54/7
9 17
10 2
11 -83
12 216
13 1021/91
14 27/7
15 -1741
16 73
17 127
18 -(2885/12)
19 842
20 5
21 214
22 -41
23 -(13/28)
24 -(51/10)
25 24
26 -(268/39)
27 39/5
28 -(372/19)
29 15/11
30 -(77/19)
31 -(29/2)
32 1716/17
33 -(117/4)
34 -17
35 25
36 2856
37 59/2
38 184
39 -(731/4)
40 587/3
41 23/4
42 -37
43 43680
44 -22
45 -(118/7)
46 -(192/17)
47 145/24
48 -12000
49 -(3/4)
50 -819
51 74
52 -21
53 89
54 205
55 -104
56 -(2/25)
57 161/19
58 -13520
59 -51
60 -45
61 137
62 -(133/3)
63 -321
64 -(13/456)
65 3/52
66 -(1297/72)
67 -(173/13)
68 -83
69 9
70 1092
71 5/2
72 -(372/5)
73 5
74 76/3
75 13
76 -1263
77 -(66/7)
78 -104
79 318
80 11/18
81 -(43/153)
82 53
83 231
84 115/11
85 -(77/6)
86 20/19
87 432/11
88 301
89 -(411/20)
90 83
91 5
92 74
93 3/2
94 14/3
95 20
96 369/52
97 -(21/8)
98 203
99 -(64/3)
100 -18
32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5
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)
\u6709\u7406\u6570\u7ec3\u4e60
\u7ec3\u4e60\u4e00(B\u7ea7)
(\u4e00)\u8ba1\u7b97\u9898:
(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)
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)
(\u4e8c)\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97:
(1)(-17/4)+(-10/3)+(+13/3)+(11/3) (2)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(\u4e09)\u5df2\u77e5:X=+17(3/4),Y=-9(5/11),Z=-2.25,
\u6c42:(-X)+(-Y)+Z\u7684\u503c
(\u56db)\u7528">","0,\u5219a-ba (C)\u82e5ba (D)\u82e5a<0,ba
\uff0d38\uff09\uff0b52\uff0b118\uff0b\uff08\uff0d62\uff09\uff1d
\uff08\uff0d32\uff09\uff0b68\uff0b\uff08\uff0d29\uff09\uff0b\uff08\uff0d68\uff09\uff1d
\uff08\uff0d21\uff09\uff0b251\uff0b21\uff0b\uff08\uff0d151\uff09\uff1d
12\uff0b35\uff0b\uff08\uff0d23\uff09\uff0b0\uff1d
\u5229\u7528\u6709\u7406\u6570\u7684\u52a0\u6cd5\u89e3\u4e0b\u97622\u9898
(1)\u738b\u8001\u4f2f\u4e0a\u8857\u65f6\u5e26\u6709\u73b0\u91d1550\u5143,\u8d2d\u7269\u7528\u53bb260\u5143,\u53c8\u53bb\u94f6\u884c\u53d6\u6b3e150\u5143,\u73b0\u5728\u738b\u8001\u4f2f\u8eab\u4e0a\u8fd8\u6709\u591a\u5c11\u73b0\u91d1?
(2)\u6f5c\u6c34\u8247\u539f\u505c\u5728\u6d77\u9762\u4e0b800\u7c73\u5904,\u5148\u6d6e\u4e0a150\u7c73,\u53c8\u4e0b\u6f5c200\u7c73,\u8fd9\u65f6\u6f5c\u6c34\u8247\u5728\u6d77\u9762\u4e0b\u591a\u5c11\u7c73\u5904?
\uff08-6\uff09+8+\uff08-4\uff09+12
3\u53c81/4+\uff08-2\u53c83/5\uff09+5\u53c83/4+\uff08-8\u53c82/5\uff09
9+\uff08-7\uff09+10+\uff08-3\uff09+\uff08-9\uff09
27+\uff08-26\uff09+33+\uff08-27\uff09
\uff08+4\u53c85/8\uff09+\uff08-3.257\uff09+\uff08-4.625)
23+\uff08-17\uff09+6+\uff08-22\uff09
-2+3+1+\uff08-3\uff09+2+\uff08-4\uff09
23+(-73)
(-84)+(-49)
7+(-2.04)
4.23+(-7.57)
7/3)+(-7/6)
9/4+(-3/2)
3.75+(2.25)+5/4
-3.75+(+5/4)+(-1.5)
(-17/4)+(-10/3)+(+13/3)+(11/3)
(-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|)
(-4)(+6)(-7)
(-27)(-25)(-3)(-4)
0.001*(-0.1)*(1.1)
24*(-5/4)*(-12/15)*(-0.12)
(-3/2)(-4/3)(-5/4)(-6/5)(-7/6)(-8/7)
(-24/7)(11/8+7/3-3.75)*24
(-71/8)*(-23)-23*(-73/8)
(-7/15)*(-18)*(-45/14)
(-2.2)*(+1.5)*(-7/11)*(-2/7)
[-|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
\u6709\u7406\u6570\u7684\u52a0\u51cf\u6df7\u5408\u8fd0\u7b97
\u3010\u3010\u540c\u6b65\u8fbe\u7eb2\u7ec3\u4e60\u3011
1\uff0e\u9009\u62e9\u9898\uff1a
\uff081\uff09\u628a-2-\uff08+3\uff09-\uff08-5\uff09+\uff08-4\uff09+\uff08+3\uff09\u5199\u6210\u7701\u7565\u62ec\u53f7\u548c\u7684\u5f62\u5f0f\uff0c\u6b63\u786e\u7684\u662f\uff08 \uff09
A\uff0e-2-3-5-4+3 B\uff0e-2+3+5-4+3
C\uff0e-2-3+5-4+3 D\uff0e-2-3-5+4+3
\uff082\uff09\u8ba1\u7b97\uff08-5\uff09-\uff08+3\uff09+\uff08-9\uff09-\uff08-7\uff09+ \u6240\u5f97\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08 \uff09
A\uff0e-10 B\uff0e-9 C\uff0e8 D\uff0e-23
\uff083\uff09-7\uff0c-12\uff0c+2\u7684\u4ee3\u6570\u548c\u6bd4\u5b83\u4eec\u7684\u7edd\u5bf9\u503c\u7684\u548c\u5c0f\uff08 \uff09
A\uff0e-38 B\uff0e-4 C\uff0e4 D\uff0e38
\uff084\uff09\u82e5 +\uff08b+3\uff092=0,\u5219b-a- \u7684\u503c\u662f\uff08 \uff09
A\uff0e-4 B\uff0e-2 C\uff0e-1 D\uff0e1
\uff085\uff09\u4e0b\u5217\u8bf4\u6cd5\u6b63\u786e\u7684\u662f\uff08 \uff09
A\uff0e\u4e24\u4e2a\u8d1f\u6570\u76f8\u51cf\uff0c\u7b49\u4e8e\u7edd\u5bf9\u503c\u76f8\u51cf
B\uff0e\u4e24\u4e2a\u8d1f\u6570\u7684\u5dee\u4e00\u5b9a\u5927\u4e8e\u96f6
C\uff0e\u6b63\u6570\u51cf\u53bb\u8d1f\u6570\uff0c\u5b9e\u9645\u662f\u4e24\u4e2a\u6b63\u6570\u7684\u4ee3\u6570\u548c
D\uff0e\u8d1f\u6570\u51cf\u53bb\u6b63\u6570\uff0c\u7b49\u4e8e\u8d1f\u6570\u52a0\u4e0a\u6b63\u6570\u7684\u7edd\u5bf9\u503c
\uff086\uff09\u7b97\u5f0f-3-5\u4e0d\u80fd\u8bfb\u4f5c\uff08 \uff09
A\uff0e-3\u4e0e5\u7684\u5dee B\uff0e-3\u4e0e-5\u7684\u548c
C\uff0e-3\u4e0e-5\u7684\u5dee D\uff0e-3\u51cf\u53bb5
2\uff0e\u586b\u7a7a\u9898\uff1a\uff084\u2032\u00d74=16\u2032\uff09
\uff081\uff09-4+7-9=- - + \uff1b
\uff082\uff096-11+4+2=- + - + \uff1b
\uff083\uff09\uff08-5\uff09+\uff08+8\uff09-\uff08+2\uff09-\uff08-3\uff09= + - + \uff1b
\uff084\uff095-\uff08-3 \uff09-\uff08+7\uff09-2 =5+ - - + - .
3\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5199\u6210\u7701\u7565\u62ec\u53f7\u7684\u548c\u7684\u5f62\u5f0f\uff0c\u5e76\u8bf4\u51fa\u5b83\u4eec\u7684\u4e24\u79cd\u8bfb\u6cd5\uff1a\uff088\u2032\u00d72=16\u2032\uff09
\uff081\uff09\uff08-21\uff09+\uff08+16\uff09-\uff08-13\uff09-\uff08+7\uff09+\uff08-6\uff09\uff1b
\uff082\uff09-2 -\uff08- \uff09+\uff08-0.5\uff09+(+2)-(+ )-2.
4.\u8ba1\u7b97\u9898(6\u2032\u00d74=24\u2032)
(1)-1+2-3+4-5+6-7;
(2)-50-28+(-24)-(-22);
(3)-19.8-(-20.3)-(+20.2)-10.8;
(4)0.25- +(-1 )-(+3 ).
5.\u5f53x=-3.7,y=-1.8,z=-1.5\u65f6,\u6c42\u4e0b\u5217\u4ee3\u6570\u5f0f\u7684\u503c(5\u2032\u00d74=20\u2032)
(1)x+y-z; (2)-x-y+z; (3)-x+y+z; (4)x-y-z.
\u3010\u7d20\u8d28\u4f18\u5316\u8bad\u7ec3\u3011
(1) (-7)-(+5)+(+3)-(-9)=-7 5 3 9;
(2)-(+2 )-(-1 )-(+3 )+(- )
=( 2 )+( 1 )+( 3 )+( );
(3)-14 5 (-3)=-12;
(4)-12 (-7) (-5) (-6)=-16;
(5)b-a-(+c)+(-d)= a b c d;
2.\u5f53x= ,y=- ,z=- \u65f6,\u5206\u522b\u6c42\u51fa\u4e0b\u5217\u4ee3\u6570\u5f0f\u7684\u503c;
(1)x-(-y)+(-z); (2)x+(-y)-(+z);
(3)-(-x)-y+z; (4)-x-(-y)+z.
3.\u5c31\u4e0b\u5217\u7ed9\u7684\u4e09\u7ec4\u6570,\u9a8c\u8bc1\u7b49\u5f0f\uff1a
a-(b-c+d)=a-b+c-d\u662f\u5426\u6210\u7acb.
(1)a=-2,b=-1,c=3,d=5;
(2)a=23 ,b=-8,c=-1 ,d=1 .
4.\u8ba1\u7b97\u9898
(1)-1-23.33-(+76.76);
(2)1-2*2*2*2;
(3)(-6-24.3)-(-12+9.1)+(0-2.1);
(4)-1+8-7
\u3010\u751f\u6d3b\u5b9e\u9645\u8fd0\u7528\u3011
\u67d0\u6c34\u5229\u52d8\u5bdf\u961f,\u7b2c\u4e00\u5929\u5411\u4e0a\u6e38\u8d705 \u5343\u7c73,\u7b2c\u4e8c\u5929\u53c8\u5411\u4e0a\u6e38\u8d705 ,\u7b2c\u4e09\u5929\u5411\u4e0b\u6e38\u8d704 \u5343\u7c73,\u7b2c\u56db\u5929\u53c8\u5411\u4e0b\u6e38\u8d704.5\u5343\u7c73,\u8fd9\u65f6\u52d8\u5bdf\u961f\u5728\u51fa\u53d1\u70b9\u7684\u54ea\u91cc?\u76f8\u8ddd\u591a\u5c11\u5343\u7c73?
\u53c2\u8003\u7b54\u6848\uff1a
\u3010\u540c\u6b65\u8fbe\u7eb2\u7ec3\u4e60\u3011
1.(1)C;(2)B;(3)D;(4)A;(5)C;(6)C 2.(1)4,(-7),(-9) (2)(-6),(-11),(-4),2; (3)-5,8,2,3; (4)3,7,2;
3.\u75654.(1)-4; (2)-80; (3)-30.5 (4)-5
5.(1)-4; (2)4; (3)0.4; (4)-0.4.
\u3010\u7d20\u8d28\u4f18\u5316\u8bad\u7ec3\u3011
1.(1)-,+,+; (2)-,+,-,-; (3)+,+; (4)-,+,+; (5)-,+,-,-.
2.(1) (2) (3) (4)-
3.(1) (2)\u90fd\u6210\u7acb.
4.(1)-
(2)
(3)-29.5
(4)-1 \u7b2c(4)\u9898\u6ce8\u610f\u540c\u53f7\u7684\u6570\u3001\u4e92\u4e3a\u76f8\u53cd\u6570\u5148\u5206\u522b\u7ed3\u5408\u3002
\u3010\u751f\u6d3b\u5b9e\u9645\u8fd0\u7528\u3011
1\uff0e\u4e0a\u6e381 \u5343\u7c73
1.125*3+125*5+25*3+25
2.9999*3+101*11*(101-92)
3.(23/4-3/4)*(3*6+2)
4. 3/7 \u00d7 49/9 - 4/3
5. 8/9 \u00d7 15/36 + 1/27
6. 12\u00d7 5/6 \u2013 2/9 \u00d73
7. 8\u00d7 5/4 + 1/4
8. 6\u00f7 3/8 \u2013 3/8 \u00f76
9. 4/7 \u00d7 5/9 + 3/7 \u00d7 5/9
10. 5/2 -\uff08 3/2 + 4/5 \uff09
11. 7/8 + \uff08 1/8 + 1/9 \uff09
12. 9 \u00d7 5/6 + 5/6
13. 3/4 \u00d7 8/9 - 1/3
14. 7 \u00d7 5/49 + 3/14
15. 6 \u00d7\uff08 1/2 + 2/3 \uff09
16. 8 \u00d7 4/5 + 8 \u00d7 11/5
17. 31 \u00d7 5/6 \u2013 5/6
18. 9/7 - \uff08 2/7 \u2013 10/21 \uff09
19. 5/9 \u00d7 18 \u2013 14 \u00d7 2/7
20. 4/5 \u00d7 25/16 + 2/3 \u00d7 3/4
21. 14 \u00d7 8/7 \u2013 5/6 \u00d7 12/15
22. 17/32 \u2013 3/4 \u00d7 9/24
23. 3 \u00d7 2/9 + 1/3
24. 5/7 \u00d7 3/25 + 3/7
25. 3/14 \u00d7\u00d7 2/3 + 1/6
26. 1/5 \u00d7 2/3 + 5/6
27. 9/22 + 1/11 \u00f7 1/2
28. 5/3 \u00d7 11/5 + 4/3
29. 45 \u00d7 2/3 + 1/3 \u00d7 15
30. 7/19 + 12/19 \u00d7 5/6
31. 1/4 + 3/4 \u00f7 2/3
32. 8/7 \u00d7 21/16 + 1/2
33. 101 \u00d7 1/5 \u2013 1/5 \u00d7 21
34.50\uff0b160\u00f740
35.120-144\u00f718+35
36.347+45\u00d72-4160\u00f752
37\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
38.95\u00f7\uff0864-45\uff09
39.178-145\u00f75\u00d76+42
40.812-700\u00f7\uff089+31\u00d711\uff09
41.85+14\u00d7\uff0814+208\u00f726\uff09
43.120-36\u00d74\u00f718+35
44.\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
45.(6.8-6.8\u00d70.55)\u00f78.5
46.0.12\u00d7 4.8\u00f70.12\u00d74.8
47.\uff083.2\u00d71.5+2.5\uff09\u00f71.6
48.6-1.6\u00f74= 5.38+7.85-5.37=
49.7.2\u00f70.8-1.2\u00d75= 6-1.19\u00d73-0.43=
50.6.5\u00d7\uff084.8-1.2\u00d74\uff09=
51.5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
52.32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5
53.[\uff087.1-5.6\uff09\u00d70.9-1.15] \u00f72.5
54.5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62]
55.12\u00d76\u00f7\uff0812-7.2\uff09-6
56.12\u00d76\u00f77.2-6
57.0.68\u00d71.9+0.32\u00d71.9
58.58+370\uff09\u00f7\uff0864-45\uff09
59.420+580-64\u00d721\u00f728
60.136+6\u00d7\uff0865-345\u00f723\uff09
15-10.75\u00d70.4-5.7
62.18.1\uff0b\uff083\uff0d0.299\u00f70.23\uff09\u00d71
63.(6.8-6.8\u00d70.55)\u00f78.5
64.0.12\u00d7 4.8\u00f70.12\u00d74.8
65.\uff083.2\u00d71.5+2.5\uff09\u00f71.6
66.3.2\u00d76+\uff081.5+2.5\uff09\u00f71.6
67.0.68\u00d71.9+0.32\u00d71.9
68.10.15-10.75\u00d70.4-5.7
69.5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
70.32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5
71.[\uff087.1-5.6\uff09\u00d70.9-1.15] \u00f72.5
72.5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62]
73.12\u00d76\u00f7\uff0812-7.2\uff09-6
74.12\u00d76\u00f77.2-6
75.33.02\uff0d\uff08148.4\uff0d90.85\uff09\u00f72.5
1) 76.(25%-695%-12%)*36
77./4*3/5+3/4*2/5
78.1-1/4+8/9/7/9
79.+1/6/3/24+2/21
80./15*3/5
81.3/4/9/10-1/6
82./3+1/2)/5/6-1/3]/1/7
83./5+3/5/2+3/4
84.(2-2/3/1/2)]*2/5
85.+5268.32-2569
86.3+456-52*8
87.5%+6325
88./2+1/3+1/4
2) 89+456-78
3) 5%+. 3/7 \u00d7 49/9 - 4/3
4) 9 \u00d7 15/36 + 1/27
5) 2\u00d7 5/6 \u2013 2/9 \u00d73
6) 3\u00d7 5/4 + 1/4
7) 94\u00f7 3/8 \u2013 3/8 \u00f76
8) 95/7 \u00d7 5/9 + 3/7 \u00d7 5/9
9) 6/2 -\uff08 3/2 + 4/5 \uff09
10) 8 + \uff08 1/8 + 1/9 \uff09
11) 8 \u00d7 5/6 + 5/6
12) 1/4 \u00d7 8/9 - 1/3
13) 10 \u00d7 5/49 + 3/14
14) 1.5 \u00d7\uff08 1/2 + 2/3 \uff09
15) 2\uff0f9 \u00d7 4/5 + 8 \u00d7 11/5
16) 3.1 \u00d7 5/6 \u2013 5/6
17) 4/7 - \uff08 2/7 \u2013 10/21 \uff09
18) 19 \u00d7 18 \u2013 14 \u00d7 2/7
19) 5 \u00d7 25/16 + 2/3 \u00d7 3/4
20) 4 \u00d7 8/7 \u2013 5/6 \u00d7 12/15
21) 7/32 \u2013 3/4 \u00d7 9/24
22) 1\u3001 2/3\u00f71/2\uff0d1/4\u00d72/5
2\u3001 2\uff0d6/13\u00f79/26\uff0d2/3
3\u3001 2/9\uff0b1/2\u00f74/5\uff0b3/8
4\u3001 10\u00f75/9\uff0b1/6\u00d74
5\u3001 1/2\u00d72/5\uff0b9/10\u00f79/20
6\u3001 5/9\u00d73/10\uff0b2/7\u00f72/5
7\u3001 1/2\uff0b1/4\u00d74/5\uff0d1/8
8\u3001 3/4\u00d75/7\u00d74/3\uff0d1/2
9\u3001 23\uff0d8/9\u00d71/27\u00f71/27
10\u3001 8\u00d75/6\uff0b2/5\u00f74
11\u3001 1/2\uff0b3/4\u00d75/12\u00d74/5
12\u3001 8/9\u00d73/4\uff0d3/8\u00f73/4
13\u3001 5/8\u00f75/4\uff0b3/23\u00f79/11
23) 1.2\u00d72.5+0.8\u00d72.5
24) 8.9\u00d71.25-0.9\u00d71.25
25) 12.5\u00d77.4\u00d70.8
26) 9.9\u00d76.4-\uff082.5+0.24\uff09\uff0827\uff09 6.5\u00d79.5+6.5\u00d70.5
0.35\u00d71.6+0.35\u00d73.4
0.25\u00d78.6\u00d74
6.72-3.28-1.72
0.45+6.37+4.55
5.4+6.9\u00d73-\uff0825-2.5\uff092\u00d741846-620-380
4.8\u00d746+4.8\u00d754
0.8+0.8\u00d72.5
1.25\u00d73.6\u00d78\u00d72.5-12.5\u00d72.4
28\u00d712.5-12.5\u00d720
23.65-\uff083.07+3.65\uff09
\uff084+0.4\u00d70.25\uff098\u00d77\u00d71.25
1.65\u00d799+1.65
27.85-\uff087.85+3.4\uff09
48\u00d71.25+50\u00d71.25\u00d70.2\u00d78
7.8\u00d79.9+0.78
(1010+309+4+681+6\uff09\u00d712
3\u00d79146\u00d7782\u00d76\u00d7854
5.15\u00d77/8+6.1-0.60625
1. 3/7 \u00d7 49/9 - 4/3
2. 8/9 \u00d7 15/36 + 1/27
3. 12\u00d7 5/6 \u2013 2/9 \u00d73
4. 8\u00d7 5/4 + 1/4
5. 6\u00f7 3/8 \u2013 3/8 \u00f76
6. 4/7 \u00d7 5/9 + 3/7 \u00d7 5/9
7. 5/2 -\uff08 3/2 + 4/5 \uff09
8. 7/8 + \uff08 1/8 + 1/9 \uff09
9. 9 \u00d7 5/6 + 5/6
10. 3/4 \u00d7 8/9 - 1/3
11. 7 \u00d7 5/49 + 3/14
12. 6 \u00d7\uff08 1/2 + 2/3 \uff09
13. 8 \u00d7 4/5 + 8 \u00d7 11/5
14. 31 \u00d7 5/6 \u2013 5/6
15. 9/7 - \uff08 2/7 \u2013 10/21 \uff09
16. 5/9 \u00d7 18 \u2013 14 \u00d7 2/7
17. 4/5 \u00d7 25/16 + 2/3 \u00d7 3/4
18. 14 \u00d7 8/7 \u2013 5/6 \u00d7 12/15
19. 17/32 \u2013 3/4 \u00d7 9/24
20. 3 \u00d7 2/9 + 1/3
21. 5/7 \u00d7 3/25 + 3/7
22. 3/14 \u00d7\u00d7 2/3 + 1/6
23. 1/5 \u00d7 2/3 + 5/6
24. 9/22 + 1/11 \u00f7 1/2
25. 5/3 \u00d7 11/5 + 4/3
26. 45 \u00d7 2/3 + 1/3 \u00d7 15
27. 7/19 + 12/19 \u00d7 5/6
28. 1/4 + 3/4 \u00f7 2/3
29. 8/7 \u00d7 21/16 + 1/2
30. 101 \u00d7 1/5 \u2013 1/5 \u00d7 21
31.50\uff0b160\u00f740 \uff0858+370\uff09\u00f7\uff0864-45\uff09
32.120-144\u00f718+35
33.347+45\u00d72-4160\u00f752
34\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
35.95\u00f7\uff0864-45\uff09
36.178-145\u00f75\u00d76+42 420+580-64\u00d721\u00f728
37.812-700\u00f7\uff089+31\u00d711\uff09 \uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09
38.85+14\u00d7\uff0814+208\u00f726\uff09
39.\uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09
40.120-36\u00d74\u00f718+35
41.\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
42.(6.8-6.8\u00d70.55)\u00f78.5
43.0.12\u00d7 4.8\u00f70.12\u00d74.8
44.\uff083.2\u00d71.5+2.5\uff09\u00f71.6 \uff082\uff093.2\u00d7\uff081.5+2.5\uff09\u00f71.6
45.6-1.6\u00f74= 5.38+7.85-5.37=
46.7.2\u00f70.8-1.2\u00d75= 6-1.19\u00d73-0.43=
47.6.5\u00d7\uff084.8-1.2\u00d74\uff09= 0.68\u00d71.9+0.32\u00d71.9
48.10.15-10.75\u00d70.4-5.7
49.5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
50.32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5
51.[\uff087.1-5.6\uff09\u00d70.9-1.15] \u00f72.5
52.5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62]
53.12\u00d76\u00f7\uff0812-7.2\uff09-6 \uff084\uff0912\u00d76\u00f77.2-6
102\u00d74.5
7.8\u00d76.9\uff0b2.2\u00d76.9
5.6\u00d70.25
8\u00d7\uff0820\uff0d1.25\uff09
1\uff09127+352+73+44 \uff082\uff0989+276+135+33
\uff081\uff0925+71+75+29 +88 \uff082\uff09243+89+111+57
9405-2940\u00f728\u00d721
920-1680\u00f740\u00f77
690+47\u00d752-398
148+3328\u00f764-75
360\u00d724\u00f732+730
2100-94+48\u00d754
51+\uff082304-2042\uff09\u00d723
4215+\uff084361-716\uff09\u00f781
\uff08247+18\uff09\u00d727\u00f725
36-720\u00f7\uff08360\u00f718\uff09
1080\u00f7\uff0863-54\uff09\u00d780
\uff08528+912\uff09\u00d75-6178
8528\u00f741\u00d738-904
264+318-8280\u00f769
\uff08174+209\uff09\u00d726- 9000
814-\uff08278+322\uff09\u00f715
1406+735\u00d79\u00f745
3168-7828\u00f738+504
796-5040\u00f7\uff08630\u00f77\uff09
285+\uff083000-372\uff09\u00f736
1+5/6-19/12
3x(-9)+7x(-9
(-54)x1/6x(-1/3)
xy=15 (x=5,y=3)
2,x+y=6
x-y=2 (4,2)
3,x+y=11,xy=30 (x=5,y=6,x=6,y=5)
4,x+y=13,xy=42 (x=6,7,y=7,6)
5,x+y=11,x-y=1 (x=6,y=5)
6,x+y=12,xy=35 (x=5,7,y=7,5)
7,x+y=5,xy=6 (x=2,3,y=3,2)
8,x-y=5,xy=36 (x=6,y=1)
9,x+y=10,xy=25 (x=y=5)
10,x+y=17,y-x=1 (x=8,y=9)
11,xy=2,x-y=1 (x=2,y=1)
12,x+y=3,xy=2 (x=1,2,y=2,1)
13,x+y=12,xy=11 (x=1,11,y=11,1)
14,x-y=8,xy=9 (x=9,y=1)
15,x+y=4,x-y=2 (x=3,y=1)
16,x+y=3,xy=0 (x=0,3,y=3,0)
17,x-y=5,xy=6 (x=6,y=1)
18,y-x=3,xy=28 (x=4,y=7)
19,y-x=2,xy=24 (x=4,y=6)
20,x+y=9,x-y=1, (x=5,y=4)
21. 66x+17y=3967 25x+y=1200 答案：x=48 y=47
22. 18x+23y=2303 74x-y=1998 答案：x=27 y=79
23. 44x+90y=7796 44x+y=3476 答案：x=79 y=48
(4) 76x-66y=4082 30x-y=2940 答案：x=98 y=51
(5) 67x+54y=8546 71x-y=5680 答案：x=80 y=59
1、计算：（1）－5－9+3； （2）10－17+8；
（3）－3－4+19－11； （4）－8+12－16－23．
2．计算：
(1)-4.2+5.7-8.4+10； (2)6.1-3.7-4.9+1.8；
3．计算：
（1）（-36）-（-25）-（+36）+（+72）； （2）（-8）-（-3）+（+5）-（+9）；
（3） ； （4）-9+（-3 ）+3 ；
4．计算：
（1）12－（－18）+（－7）－15；
（2）－40－28－（－19）+（－24）－（－32）；
（3）4.7－（－8.9）－7.5+（－6）；
答案：
1、（1）－11；（2）1；（3）1；（4）－35
2、（1）3.1；（2）－0.7；（3） ；（4）
3、（1）25；（2）－9；（3） ；（4）－9
4、（1）8；（2）－41；（3）0.1
(1) (-9)-(-13)+(-20)+(-2)
(2) 3+13-(-7)/6
(3) (-2)-8-14-13
(4) (-7)*(-1)/7+8
(5) (-11)*4-(-18)/18
(6) 4+(-11)-1/(-3)
(7) (-17)-6-16/(-18)
(8) 5/7+(-1)-(-8)
(9) (-1)*(-1)+15+1
(10) 3-(-5)*3/(-15)
(11) 6*(-14)-(-14)+(-13)
(12) (-15)*(-13)-(-17)-(-4)
(13) (-20)/13/(-7)+11
(14) 8+(-1)/7+(-4)
(15) (-13)-(-9)*16*(-12)
(16) (-1)+4*19+(-2)
(17) (-17)*(-9)-20+(-6)
(18) (-5)/12-(-16)*(-15)
(19) (-3)-13*(-5)*13
(20) 5+(-7)+17-10
(21) (-10)-(-16)-13*(-16)
(22) (-14)+4-19-12
(23) 5*13/14/(-10)
(24) 3*1*17/(-10)
(25) 6+(-12)+15-(-15)
(26) 15/9/13+(-7)
(27) 2/(-10)*1-(-8)
(28) 11/(-19)+(-14)-5
(29) 19-16+18/(-11)
(30) (-1)/19+(-5)+1
(31) (-5)+19/10*(-5)
(32) 11/(-17)*(-13)*12
(33) (-8)+(-10)/8*17
(34) 7-(-12)/(-1)+(-12)
(35) 12+12-19+20
(36) (-13)*(-11)*20+(-4)
(37) 17/(-2)-2*(-19)
(38) 1-12*(-16)+(-9)
(39) 13*(-14)-15/20
(40) (-15)*(-13)-6/(-9)
(41) 15*(-1)/12+7
(42) (-13)+(-16)+(-14)-(-6)
(43) 14*12*(-20)*(-13)
(44) 17-9-20+(-10)
(45) 12/(-14)+(-14)+(-2)
(46) (-15)-12/(-17)-(-3)
(47) 6-3/9/(-8)
(48) (-20)*(-15)*10*(-4)
(49) 7/(-2)*(-3)/(-14)
(50) 13/2*18*(-7)
(51) 13*5+6+3
(52) (-15)/5/3+(-20)
(53) 19*4+17-4
(54) (-11)-(-6)*(-4)*(-9)
(55) (-16)+16-(-8)*(-13)
(56) 16/(-1)/(-10)/(-20)
(57) (-1)-(-9)-9/(-19)
(58) 13*20*(-13)*4
(59) 11*(-6)-3+18
(60) (-20)+(-12)+(-1)+(-12)
(61) (-19)-3*(-13)*4
(62) (-13)/3-5*8
(63) (-15)/1+17*(-18)
(64) (-13)/3/19/8
(65) (-3)/(-13)/20*5
(66) 3/12/(-18)-18
(67) 5*(-19)/13+(-6)
(68) 4+4*(-19)-11
(69) (-2)+17-5+(-1)
(70) 9+(-3)*19*(-19)
(71) (-12)-(-6)+17/2
(72) 15*(-5)-(-3)/5
(73) (-10)*2/(-1)/4
(74) (-8)*16/(-6)+4
(75) 2-11+12+10
(76) (-3)+(-20)*(-7)*(-9)
(77) (-15)+8-17/7
(78) (-14)*10+18*2
(79) (-7)+2-(-17)*19
(80) (-7)/18/1+1
(81) 11/(-9)-(-16)/17
(82) 15+5*6-(-8)
(83) (-13)*(-18)+18/(-6)
(84) 11-(-1)/11*(-6)
(85) (-4)+(-12)+19/6
(86) (-18)/(-1)/(-19)+2
(87) 9*(-8)*(-6)/11
(88) 20*(-3)*(-5)+1
(89) (-18)-2+(-11)/20
(90) 15*1+4*17
(91) 1-10+(-14)/(-1)
(92) 10+(-4)*(-19)+(-12)
(93) 15/14/5*7
(94) 8+(-13)/3+1
(95) (-14)+6+(-2)*(-14)
(96) (-5)/(-13)/4+7
(97) (-15)/(-2)/(-12)+(-2)
(98) (-17)-(-20)-20*(-10)
(99) (-7)-10-13/3
(100) (-20)+(-18)+11+9
答案：
1 -18
2 103/6
3 -37
4 9
5 -43
6 -(20/3)
7 -(199/9)
8 54/7
9 17
10 2
11 -83
12 216
13 1021/91
14 27/7
15 -1741
16 73
17 127
18 -(2885/12)
19 842
20 5
21 214
22 -41
23 -(13/28)
24 -(51/10)
25 24
26 -(268/39)
27 39/5
28 -(372/19)
29 15/11
30 -(77/19)
31 -(29/2)
32 1716/17
33 -(117/4)
34 -17
35 25
36 2856
37 59/2
38 184
39 -(731/4)
40 587/3
41 23/4
42 -37
43 43680
44 -22
45 -(118/7)
46 -(192/17)
47 145/24
48 -12000
49 -(3/4)
50 -819
51 74
52 -21
53 89
54 205
55 -104
56 -(2/25)
57 161/19
58 -13520
59 -51
60 -45
61 137
62 -(133/3)
63 -321
64 -(13/456)
65 3/52
66 -(1297/72)
67 -(173/13)
68 -83
69 9
70 1092
71 5/2
72 -(372/5)
73 5
74 76/3
75 13
76 -1263
77 -(66/7)
78 -104
79 318
80 11/18
81 -(43/153)
82 53
83 231
84 115/11
85 -(77/6)
86 20/19
87 432/11
88 301
89 -(411/20)
90 83
91 5
92 74
93 3/2
94 14/3
95 20
96 369/52
97 -(21/8)
98 203
99 -(64/3)
100 -18
32.52-（6+9.728÷3.2）×2.5
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)
有理数练习
练习一(B级)
(一)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)
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)
(二)用简便方法计算:
(1)(-17/4)+(-10/3)+(+13/3)+(11/3) (2)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(三)已知:X=+17(3/4),Y=-9(5/11),Z=-2.25,
求:(-X)+(-Y)+Z的值
(四)用">","0,则a-ba (C)若ba (D)若a<0,ba
－38）＋52＋118＋（－62）＝
（－32）＋68＋（－29）＋（－68）＝
（－21）＋251＋21＋（－151）＝
12＋35＋（－23）＋0＝
利用有理数的加法解下面2题
(1)王老伯上街时带有现金550元,购物用去260元,又去银行取款150元,现在王老伯身上还有多少现金?
(2)潜水艇原停在海面下800米处,先浮上150米,又下潜200米,这时潜水艇在海面下多少米处?
（-6）+8+（-4）+12
3又1/4+（-2又3/5）+5又3/4+（-8又2/5）
9+（-7）+10+（-3）+（-9）
27+（-26）+33+（-27）
（+4又5/8）+（-3.257）+（-4.625)
23+（-17）+6+（-22）
-2+3+1+（-3）+2+（-4）
23+(-73)
(-84)+(-49)
7+(-2.04)
4.23+(-7.57)
7/3)+(-7/6)
9/4+(-3/2)
3.75+(2.25)+5/4
-3.75+(+5/4)+(-1.5)
(-17/4)+(-10/3)+(+13/3)+(11/3)
(-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|)
(-4)(+6)(-7)
(-27)(-25)(-3)(-4)
0.001*(-0.1)*(1.1)
24*(-5/4)*(-12/15)*(-0.12)
(-3/2)(-4/3)(-5/4)(-6/5)(-7/6)(-8/7)
(-24/7)(11/8+7/3-3.75)*24
(-71/8)*(-23)-23*(-73/8)
(-7/15)*(-18)*(-45/14)
(-2.2)*(+1.5)*(-7/11)*(-2/7)
[-|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
有理数的加减混合运算
【【同步达纲练习】
1．选择题：
（1）把-2-（+3）-（-5）+（-4）+（+3）写成省略括号和的形式，正确的是（ ）
A．-2-3-5-4+3 B．-2+3+5-4+3
C．-2-3+5-4+3 D．-2-3-5+4+3
（2）计算（-5）-（+3）+（-9）-（-7）+ 所得结果正确的是（ ）
A．-10 B．-9 C．8 D．-23
（3）-7，-12，+2的代数和比它们的绝对值的和小（ ）
A．-38 B．-4 C．4 D．38
（4）若 +（b+3）2=0,则b-a- 的值是（ ）
A．-4 B．-2 C．-1 D．1
（5）下列说法正确的是（ ）
A．两个负数相减，等于绝对值相减
B．两个负数的差一定大于零
C．正数减去负数，实际是两个正数的代数和
D．负数减去正数，等于负数加上正数的绝对值
（6）算式-3-5不能读作（ ）
A．-3与5的差 B．-3与-5的和
C．-3与-5的差 D．-3减去5
2．填空题：（4′×4=16′）
（1）-4+7-9=- - + ；
（2）6-11+4+2=- + - + ；
（3）（-5）+（+8）-（+2）-（-3）= + - + ；
（4）5-（-3 ）-（+7）-2 =5+ - - + - .
3．把下列各式写成省略括号的和的形式，并说出它们的两种读法：（8′×2=16′）
（1）（-21）+（+16）-（-13）-（+7）+（-6）；
（2）-2 -（- ）+（-0.5）+(+2)-(+ )-2.
4.计算题(6′×4=24′)
(1)-1+2-3+4-5+6-7;
(2)-50-28+(-24)-(-22);
(3)-19.8-(-20.3)-(+20.2)-10.8;
(4)0.25- +(-1 )-(+3 ).
5.当x=-3.7,y=-1.8,z=-1.5时,求下列代数式的值(5′×4=20′)
(1)x+y-z; (2)-x-y+z; (3)-x+y+z; (4)x-y-z.
【素质优化训练】
(1) (-7)-(+5)+(+3)-(-9)=-7 5 3 9;
(2)-(+2 )-(-1 )-(+3 )+(- )
=( 2 )+( 1 )+( 3 )+( );
(3)-14 5 (-3)=-12;
(4)-12 (-7) (-5) (-6)=-16;
(5)b-a-(+c)+(-d)= a b c d;
2.当x= ,y=- ,z=- 时,分别求出下列代数式的值;
(1)x-(-y)+(-z); (2)x+(-y)-(+z);
(3)-(-x)-y+z; (4)-x-(-y)+z.
3.就下列给的三组数,验证等式：
a-(b-c+d)=a-b+c-d是否成立.
(1)a=-2,b=-1,c=3,d=5;
(2)a=23 ,b=-8,c=-1 ,d=1 .
4.计算题
(1)-1-23.33-(+76.76);
(2)1-2*2*2*2;
(3)(-6-24.3)-(-12+9.1)+(0-2.1);
(4)-1+8-7
【生活实际运用】
某水利勘察队,第一天向上游走5 千米,第二天又向上游走5 ,第三天向下游走4 千米,第四天又向下游走4.5千米,这时勘察队在出发点的哪里?相距多少千米?
参考答案：
【同步达纲练习】
1.(1)C;(2)B;(3)D;(4)A;(5)C;(6)C 2.(1)4,(-7),(-9) (2)(-6),(-11),(-4),2; (3)-5,8,2,3; (4)3,7,2;
3.略4.(1)-4; (2)-80; (3)-30.5 (4)-5
5.(1)-4; (2)4; (3)0.4; (4)-0.4.
【素质优化训练】
1.(1)-,+,+; (2)-,+,-,-; (3)+,+; (4)-,+,+; (5)-,+,-,-.
2.(1) (2) (3) (4)-
3.(1) (2)都成立.
4.(1)-
(2)
(3)-29.5
(4)-1 第(4)题注意同号的数、互为相反数先分别结合。
【生活实际运用】
1．上游1 千米
1.125*3+125*5+25*3+25
2.9999*3+101*11*(101-92)
3.(23/4-3/4)*(3*6+2)
4. 3/7 × 49/9 - 4/3
5. 8/9 × 15/36 + 1/27
6. 12× 5/6 – 2/9 ×3
7. 8× 5/4 + 1/4
8. 6÷ 3/8 – 3/8 ÷6
9. 4/7 × 5/9 + 3/7 × 5/9
10. 5/2 -（ 3/2 + 4/5 ）
11. 7/8 + （ 1/8 + 1/9 ）
12. 9 × 5/6 + 5/6
13. 3/4 × 8/9 - 1/3
14. 7 × 5/49 + 3/14
15. 6 ×（ 1/2 + 2/3 ）
16. 8 × 4/5 + 8 × 11/5
17. 31 × 5/6 – 5/6
18. 9/7 - （ 2/7 – 10/21 ）
19. 5/9 × 18 – 14 × 2/7
20. 4/5 × 25/16 + 2/3 × 3/4
21. 14 × 8/7 – 5/6 × 12/15
22. 17/32 – 3/4 × 9/24
23. 3 × 2/9 + 1/3
24. 5/7 × 3/25 + 3/7
25. 3/14 ×× 2/3 + 1/6
26. 1/5 × 2/3 + 5/6
27. 9/22 + 1/11 ÷ 1/2
28. 5/3 × 11/5 + 4/3
29. 45 × 2/3 + 1/3 × 15
30. 7/19 + 12/19 × 5/6
31. 1/4 + 3/4 ÷ 2/3
32. 8/7 × 21/16 + 1/2
33. 101 × 1/5 – 1/5 × 21
34.50＋160÷40
35.120-144÷18+35
36.347+45×2-4160÷52
37（58+37）÷（64-9×5）
38.95÷（64-45）
39.178-145÷5×6+42
40.812-700÷（9+31×11）
41.85+14×（14+208÷26）
43.120-36×4÷18+35
44.（58+37）÷（64-9×5）
45.(6.8-6.8×0.55)÷8.5
46.0.12× 4.8÷0.12×4.8
47.（3.2×1.5+2.5）÷1.6
48.6-1.6÷4= 5.38+7.85-5.37=
49.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
50.6.5×（4.8-1.2×4）=
51.5.8×（3.87-0.13）+4.2×3.74
52.32.52-（6+9.728÷3.2）×2.5
53.[（7.1-5.6）×0.9-1.15] ÷2.5
54.5.4÷[2.6×（3.7-2.9）+0.62]
55.12×6÷（12-7.2）-6
56.12×6÷7.2-6
57.0.68×1.9+0.32×1.9
58.58+370）÷（64-45）
59.420+580-64×21÷28
60.136+6×（65-345÷23）
15-10.75×0.4-5.7
62.18.1＋（3－0.299÷0.23）×1
63.(6.8-6.8×0.55)÷8.5
64.0.12× 4.8÷0.12×4.8
65.（3.2×1.5+2.5）÷1.6
66.3.2×6+（1.5+2.5）÷1.6
67.0.68×1.9+0.32×1.9
68.10.15-10.75×0.4-5.7
69.5.8×（3.87-0.13）+4.2×3.74
70.32.52-（6+9.728÷3.2）×2.5
71.[（7.1-5.6）×0.9-1.15] ÷2.5
72.5.4÷[2.6×（3.7-2.9）+0.62]
73.12×6÷（12-7.2）-6
74.12×6÷7.2-6
75.33.02－（148.4－90.85）÷2.5
1) 76.(25%-695%-12%)*36
77./4*3/5+3/4*2/5
78.1-1/4+8/9/7/9
79.+1/6/3/24+2/21
80./15*3/5
81.3/4/9/10-1/6
82./3+1/2)/5/6-1/3]/1/7
83./5+3/5/2+3/4
84.(2-2/3/1/2)]*2/5
85.+5268.32-2569
86.3+456-52*8
87.5%+6325
88./2+1/3+1/4
2) 89+456-78
3) 5%+. 3/7 × 49/9 - 4/3
4) 9 × 15/36 + 1/27
5) 2× 5/6 – 2/9 ×3
6) 3× 5/4 + 1/4
7) 94÷ 3/8 – 3/8 ÷6
8) 95/7 × 5/9 + 3/7 × 5/9
9) 6/2 -（ 3/2 + 4/5 ）
10) 8 + （ 1/8 + 1/9 ）
11) 8 × 5/6 + 5/6
12) 1/4 × 8/9 - 1/3
13) 10 × 5/49 + 3/14
14) 1.5 ×（ 1/2 + 2/3 ）
15) 2／9 × 4/5 + 8 × 11/5
sorry 我只有没答案的
-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
-5+21*8/2-6-59
68/21-8-11*8+61
-2/9-7/9-56
2.4-(-3/5)+(-3.1)+4/5
(-6/13)+(-7/13)-(-2)
3/4-(-11/6)+(-7/3)
11+(-22)-3×(-11)
(-0.1)÷1/2×(-100)
2.4-(-3/5)+(-3.1)+4/5
(-6/13)+(-7/13)-(-2)
3/4-(-11/6)+(-7/3)
11+(-22)-3×(-11)
(-0.1)÷1/2×(-100)
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.(-8)-(-1)
2.45+(-30)
3.-1.5-(-11.5)
4.-1/4-(-1/2)
5.15-[1-(20-4)]
6.-40-28-(-19)+(-24)
7.22.54+(-4.4)+(-12.54)+4.4
8.(2/3-1/2)-(1/3-5/6)
88×125 怎样计算简便
绛旓細6銆鏈夌悊鏁娣峰悎杩愮畻鐨勯『搴忔槸:鍏堢畻 ,鍐嶇畻 ,鏈鍚庣畻 ,濡傛灉鏈 ,灏卞厛绠 閲岄潰鐨勩 11銆8-4梅(-2); 12銆-9+5脳(-6)-12梅(-6) 14銆-1-銆1-(1-0.6梅3)銆暶椼2-(-3)脳(-4)銆; 20銆0梅(-4)-42-(-8)梅(-1)3; 21銆-32-(-3) 2-(-3)3+(-1)6; 24銆3脳(-2)2+(-2脳3)2+...
绛旓細5+(-9)=-4 (-11)+99=88 1+(-5)=-4 16+(-12)=4 12+(-74)=-62 1+(-1)=0 (-5)+4=-1 (-2)+89=87 (-1)+0=-1 (-5)+8=3 (-56)+88=32 (-23)+66=43 (-3)+2=-1 (-9)+1=-8 (-6)+68=62 (-57)+67=10 (-59)+46=-13 (-22)+33=11 (-13)+...
绛旓細50锛160梅40 120-144梅18+35 347+45脳2-4160梅52 锛58+37锛壝凤紙64-9脳5锛95梅锛64-45锛178-145梅5脳6+42 812-700梅锛9+31脳11锛85+14脳锛14+208梅26锛夛紙284+16锛壝楋紙512-8208梅18锛120-36脳4梅18+35 (58+37锛壝凤紙64-9脳5锛(6.8-6.8脳0.55)梅8.5 0.12脳 4.8梅0...
绛旓細鏈夌悊鏁娣峰悎杩愮畻棰10閬,鍔犺缁嗙瓟妗! [-|98|+76+(-87)]*23 [56+(-75)-(7)]-(8+4+3) 5+21*8/2-6-59 68/21-8-11*8+61 璋佸彂100閬撴湁鐞嗘暟娣峰悎杩愮畻,杩囩▼绛旀,鍦ㄧ嚎鎬 瑙ｆ瀽: (鈭5+1)²+(鈭5-1)² =(6+2鈭5)+(6-2鈭5) =12 20閬撴湁鐞嗘暟娣峰悎杩愮畻璇曢 甯︾瓟妗 鏈夌悊鏁扮殑娣峰悎杩愮畻杩...
绛旓細鏈浣绛旀 涓瀹氳閫夋垜涓烘渶浣崇瓟妗堝憖,鍛靛懙,澶氱粰鐐瑰垎 (1) (-9)-(-13)+(-20)+(-2)(2) 3+13-(-7)/6 (3) (-2)-8-14-13 (4) (-7)*(-1)/7+8 (5) (-11)*4-(-18)/18 (6) 4+(-11)-1/(-3)(7) (-17)-6-16/(-18)(8) 5/7+(-1)-(-8)(9) ...
绛旓細• 璋佹湁灏忓鍏勾绾ц嚦鍒濅竴鏈夌悊鏁扮殑璁＄畻鐨勮绠楅鍟? • 鍏充簬鏈夌悊鏁拌绠楅鍜绛旀 • 璋佹湁鍒濅竴鏈夌悊鏁拌绠楅(鎴戣1000閬) • 缂栧啓涓涓皬瀛︽暟瀛﹁緟鍔╂暀瀛﹁蒋浠,涓昏鏄祴璇曞皬瀛︿綆骞... 鏇村鍏充簬300閬撶畝鍗曠殑鏈夌悊鏁拌繍绠楃殑闂>> 鏌ョ湅鍚屼富棰橀棶棰:鏈夌悊鏁扮殑娣峰悎杩愮畻 鍏朵粬鍥炵瓟 鍏 1 鏉1.璁＄畻棰 (1)3.28-4.76...
绛旓細鍔犲噺娣峰悎杩愮畻鍙互缁熶竴涓哄姞娉曡繍绠椼傚嵆a + b鈥揷 = a + b +锛-c锛夛紙鈥3锛夆擄紙+5锛+锛堚4锛夆擄紙鈥10锛 2銆3鈥擄紙+5锛夆擄紙鈥1锛+锛堚5锛1鈥4 + 3鈥5 4銆佲2.4 + 3.5鈥4.6 + 3.5 5銆 3鈥2 + 5鈥8 鏈夌悊鏁闆 鏄暣鏁伴泦鐨勬墿寮犮傚湪鏈夌悊鏁伴泦鍐咃紝鍔犳硶銆佸噺娉曘佷箻娉曘侀櫎娉曪紙...
绛旓細(浜)濉┖棰: (1)闆跺噺鍘籥鐨勭浉鍙嶆暟,鍏剁粨鏋滄槸___; (2)鑻-b>a,鍒檅鏄痏__鏁; (3)浠-3.14涓噺鍘-蟺,鍏跺樊搴斾负___; (4)琚噺鏁版槸-12(4/5),宸槸4.2,鍒欏噺鏁板簲鏄痏__; (5)鑻-a<-,鍒檃,b鐨勫叧绯绘槸___,鑻-b<0,鍒檃,b鐨勫叧绯绘槸___; (6)(+22/3)-( )=-7 (涓)鍒ゆ柇棰: (1)涓涓暟...
绛旓細鏈夌悊鏁鐨勫姞鍑忔贩鍚杩愮畻 銆愩愬悓姝ヨ揪绾缁冧範銆 1.閫夋嫨棰: (1)鎶-2-(+3)-(-5)+(-4)+(+3)鍐欐垚鐪佺暐鎷彿鍜岀殑褰㈠紡,姝ｇ‘鐨勬槸( ) A.-2-3-5-4+3 B.-2+3+5-4+3 C.-2-3+5-4+3 D.-2-3-5+4+3 (2)璁＄畻(-5)-(+3)+(-9)-(-7)+ 鎵寰楃粨鏋滄纭殑鏄( ) A.-10 B.-9 C.8 D.-...
绛旓細鍏充簬鏈夌悊鏁闄ゆ硶璁＄畻棰50閬撴湁绛旀锛屾湁鐞嗘暟闄ゆ硶璁＄畻棰50閬撹繖涓緢澶氫汉杩樹笉鐭ラ亾锛屼粖澶╂潵涓哄ぇ瀹惰В绛斾互涓婄殑闂锛岀幇鍦ㄨ鎴戜滑涓璧锋潵鐪嬬湅鍚э紒1銆21.3梅3=7.1 50.5梅5=10.1 808梅8.08=10021.3梅3=7.1 50.5梅5=10.1 808梅8.08=100銆
