文档内容
第一天:解关于整、小数方程训练营
解方程:
x300.3 6+x=21 5x35
解:x30300.330 解:6+x-6=21-6 解:5x5355
x9 x=15 x30
40.7x102 x5485 4x13365
解:40.7x41024 解:x543 解:4x131336513
0.7x98 x55435 4x352
0.7x0.7980.7 x38 4x43524
x140 x88
3x0.5x15 342x10 2x30.924.7
解:2.5x15 解:2x3410 解:2x2.72.724.72.7
2.5x2.5152.5 2x44 2x22
x6 x22 2x2222
x11
数理化开窍室第二天:解关于分数方程训练营
解方程:
x=1 1 3 x 5 x15%x68
8 6
3 3 5 3
解:0.85x68
解: x÷ =1 ÷ 解:1 x x x
8 8 6 8
0.85x0.85680.85
5 3 5 5
x= x 1
6 8 6 6
x80
3 8 1 8
x
8 3 6 3
4
x
9
5 1
x﹣10%x=6 x x360 x(120% )88
4 4
9 11
解: ( ﹣10%)x=6 解: x360 解: x88
4 20
0.025x=6 x160 11
x
11
88
11
20 20 20
x=240
x160
x 1 1 7
30% x x28 p p21
4 3 4 10
x 7 3
解: 430%4 解: x28 解: p21
4 12 10
x1.2 7
x
12
28
12 3
p
10
21
10
12 7 7 10 3 3
x48 p70
数理化开窍室第三天:解比例方程训练营
解方程:
2.5:x2:0.4 3
:x
2
:24
1
:x
5
:0.75
4 5 3 6
解:2x1
2 3 5
解: x24 解: x0.25
5 4 6
2x212
2 5 5 6 5 6
x 18 x0.25
5 2 2 5 6 5
x0.5
x45 x0.3
1 1 1 3 3 2.4 x
:x : : x:20
4 2 3 8 4 2.5 15
1 1 1 3 3
解: x 解: x20 解:2.5x2.415
2 3 4 4 8
1
x
1
1
1
1 3
x
3
15
3 2.5x2.5362.5
2 2 3 4 2 4 4 2 4
x14.4
x
1 x10
6
:x= : 2x30 6 2(x3):5(x2)3:5
2x150 5
解:10x3015x30
解: x= × 解:10x15012x900
5x60
x÷ = ÷ 2x1050
x12
x525
x=
数理化开窍室第四天:解复杂方程训练营
解方程:
6x2(x4)24 4x2(20x)60 6x124x6
解:6x2x824 解:4x402x60 解:2x18
8x824 2x4060 x9
8x88248 2x40406040
8x16 2x20
8x8168 2x2202
x2 x10
x(2x20)88
5(7b)52.5, 2(x3)46
1
(x6)
3
解:3x2088
解:7b10.5, 解:2x646 1 x2
3
3x20208820
b3.5 7
x42
3
3x31083
x18
x36
7(x-3)=3(x+5)+4 x+x÷3+2x-30=180 4x2(16x)46
解:7x-21=3x+15+4 解:3x+x÷3=180+30 解:4x322x46
4x=40 9x+x=630 2x14
x=10 x=63 x7
数理化开窍室第五天:解复杂方程训练营
解方程:
0.52x﹣0.17x=0.21 6x0.559.5 2x1036,
解: 0.35x=0.21 解:6x2.59.5 解:2x10103610
0.35x÷0.35=0.21÷0.35 6x2.52.59.52.5 2x46
x=0.6 6x12 2x2462
6x6126 x23
x2
2 1 1 4 3
9:0.2 x: 6:x :
3 12 4 m 4
1 1
解:0.2x6 解: x6 解:3m44
12 4
0.2x0.260.2 1
x
3 3m3163
12 2
x30
1 3 m
16
x12 12 3
12 2
x18
2 1 1 5
x x42 n n6 x75%x
3 2 5 6
7 5
解: x42 解:1.2n6 解:0.25x
6 6
7
x
6
42
6 1.2n1.261.2
0.25x0.25
5
0.25
6 7 7 6
n5
x36
x
10
3
数理化开窍室第六天:解复杂方程训练营
解方程:
3.8x1.2x9.5 5.59x17.5 0.4x173
解:5x9.5 解:5.59x5.517.55.5 解:0.4x1717317
5x59.55 9x12 0.4x20
x1.9 9x9129 0.4x0.4200.4
x
4 x50
3
2.4:y3:10 1 6 x
48: x:3
4 9 12
解:3y24
1
x483
解:9x612
4
3y3243 解:
9x72
y8 1 1 1
x 144
9x9729
4 4 4
x576 x8
(1
1
)x8
x25%x40 1
x3.2x3.45
9 4
10
解:1.25x40
解: x8 解:3.45x3.45
9
1.25x1.25401.25
x7.2 3.45x3.453.453.45
x32
x1
数理化开窍室第七天:解复杂方程训练营
解方程:
12x96 1897h21 6a3a1
解:12x54 解:7h212118921 解:9a1
12x125412 7h210 9a919
x4.5 7h72107
a
1
9
h30
1 2 1 1 3
: 8:x 5:x : :x6:0.8
9 3 2 5 4
1 2 1 1
解: x 8 解: x5 解:6x0.6
9 3 2 5
1
x
16 1
x1
6x60.66
9 3 2
x0.1
1 16 1
x9 9 x212
9 3 2
x48 x2
2x
7
3 2
x
5
x
5
1 4x60%x6.8
20 5 21 7 7 3
7 7 3 7 17 8
解:3.4x6.8
解:2x 解: x
20 20 5 20 21 21
3.4x3.46.83.4
1 17 17 8 17
2x x
4 21 21 21 21
x2
1 8
2x2 2 x
4 17
1
x
8
数理化开窍室第八天:解复杂方程训练营
解方程:
1.2x2x4.8 9x1.85.4 (88)x32036
解:3.2x4.8 解:9x1.81.85.41.8 解:?64x11520
3.2x3.24.83.2 9x7.2 x180
x1.5 9x97.29
x0.8
1 1 1 1 1 4
: x: x: 0.7: :14x:6.3
2 3 6 14 2 9
1 1 1 1 4
解: x 解: x 0.7 解:14x 6.3
3 12 2 14 9
3
1
x
1
3
1
x
1
1
1 14x142.814
3 12 2 2 20 2
x0.2
x
1 x0.1
4
3.8x1.2x9.5 2x0.090.11 2x1.5x35
解:5x9.5 解:2x0.090.090.110.09 解:3.5x35
5x59.55 2x20.22 3.5x3.5353.5
x1.9 x0.1 x10
数理化开窍室第九天:解复杂方程训练营
解方程:
4x13365 1.2x1.33.5 (103)y1526
解:4x131336513 解:1.2x1.31.33.51.3 解:13y390
4x352 1.2x4.8 y30
4x43524 1.2x1.24.81.2
x88 x4
3.14r4r 21.42 3x1.5x15 13
:3.254:x
15
解:7.14r 21.42 解:1.5x15 13
解: x3.254
15
7r7.1421.427.14 1.5x1.5151.5
13 13 13
x 13
15 15 15
r 3 x10
x15
3x0.627.5
x-
2
x-
1
=1 x
2
1
3 3 5 2
解:3x1.27.5
1 1 2 2 1 2
解: x- =1 解:x
3 3 5 5 2 5
3x1.21.27.51.2
1 1 1 1 9
x- + =1+ x
3x36.33 3 3 3 3 10
1 4
x2.1
x=
3 3
1 1 4 1
x÷ = ÷
3 3 3 3
4
x= ×3
3
x=4
数理化开窍室第十天:解复杂方程训练营
解方程:
2
x-6=12
50%x-25%x=10 x∶3.5=6∶0.5
3
2 解:0.25x=10 解:0.5x=3.5×6
解: x-6+6=12+6
3
2
0.25x÷0.25=10÷0.25 0.5x÷0.5=3.5×6÷0.5
x=18
3 x=40 x=42
2 2 2
x÷ =18÷
3 3 3
x=27
1 x 1 x30 2∶0.98∶x 6x19x1
4 2
3 解:2x0.98
解: x30 解:x5
4
2x27.22
3 4 4
x 30
4 3 3 x3.6
x40
(600+x)×10%=600×7%+x 0.4x+2.6=5.8 4∶x=30%∶2.4
解:60+10%x=42+x 解:0.4x+2.6-2.6=5.8-2.6 解:30%x=4×2.4
60-42=x-0.1x 0.4x=3.2 30%x=9.6
18=0.9x 0.4x÷0.4=3.2÷0.4 30%x÷30%=9.6÷30%
0.9x=18 x=8 x=32
x=18÷0.9
x=20
数理化开窍室