熹妃传李师师:脑筋题目:填八个数字,你行吗?

来源:百度文库 编辑:神马品牌网 时间:2024/04/29 18:25:30
□□+□-□=□□×□÷□
请将1至9这九个自然数字中的八个分别填入“□”中,使之成为一道相等的连环等式.像这样的题,如果把得数限定为正整数,它的完全解有多少种?能给出答案来吗?谢谢了.

共有500个算式:
13+5-6=27*4/9=12,13+6-4=27*5/9=15,13+6-5=49*2/7=14,13+6-7=54*2/9=12
13+7-8=54*2/9=12,13+8-5=24*6/9=16,13+8-6=27*5/9=15,13+9-6=28*4/7=16
13+9-7=24*5/8=15,13+9-7=45*2/6=15,14+7-8=39*2/6=13,14+8-2=36*5/9=20
14+8-3=57*2/6=19,14+9-2=56*3/8=21,14+9-3=28*5/7=20,14+9-5=63*2/7=18
15+3-6=27*4/9=12,15+6-7=42*3/9=14,15+6-9=28*3/7=12,15+7-6=32*4/8=16
15+7-6=48*3/9=16,15+7-8=42*3/9=14,15+7-8=63*2/9=14,15+7-9=26*4/8=13
15+8-2=49*3/7=21,15+8-7=24*6/9=16,15+8-7=36*4/9=16,15+9-3=24*7/8=21
15+9-6=42*3/7=18,16+3-4=27*5/9=15,16+3-5=49*2/7=14,16+3-7=54*2/9=12
16+5-7=42*3/9=14,16+5-9=28*3/7=12,16+7-8=45*3/9=15,17+3-8=54*2/9=12
17+4-8=39*2/6=13,17+5-6=32*4/8=16,17+5-6=48*3/9=16,17+5-8=42*3/9=14
17+5-8=63*2/9=14,17+5-9=26*4/8=13,17+6-8=45*3/9=15,17+9-2=48*3/6=24
17+9-2=64*3/8=24,17+9-5=28*3/4=21,17+9-5=42*3/6=21,17+9-6=32*5/8=20
17+9-8=36*2/4=18,17+9-8=54*2/6=18,18+3-5=24*6/9=16,18+3-6=27*5/9=15
18+4-2=36*5/9=20,18+4-3=57*2/6=19,18+5-2=49*3/7=21,18+5-7=24*6/9=16
18+5-7=36*4/9=16,18+9-7=24*5/6=20,19+3-6=28*4/7=16,19+3-7=24*5/8=15
19+3-7=45*2/6=15,19+4-2=56*3/8=21,19+4-3=28*5/7=20,19+4-5=63*2/7=18
19+5-3=24*7/8=21,19+5-6=42*3/7=18,19+7-2=48*3/6=24,19+7-2=64*3/8=24
19+7-5=28*3/4=21,19+7-5=42*3/6=21,19+7-6=32*5/8=20,19+7-8=36*2/4=18
19+7-8=54*2/6=18,19+8-7=24*5/6=20,21+4-6=57*3/9=19,21+6-8=57*3/9=19
21+7-8=36*5/9=20,21+8-4=75*3/9=25,21+8-9=35*4/7=20,23+4-7=15*8/6=20
23+5-7=14*9/6=21,23+5-9=76*1/4=19,23+8-1=45*6/9=30,23+8-7=96*1/4=24
23+9-5=18*6/4=27,24+1-6=57*3/9=19,24+3-7=15*8/6=20,24+5-1=36*7/9=28
24+6-1=87*3/9=29,24+7-8=69*1/3=23,24+9-8=75*1/3=25,25+3-7=14*9/6=21
25+3-9=76*1/4=19,25+4-1=36*7/9=28,25+6-4=81*3/9=27,25+6-7=18*4/3=24
25+7-6=13*8/4=26,25+7-8=96*1/4=24,25+8-7=39*4/6=26,25+9-6=84*1/3=28
25+9-7=18*6/4=27,26+1-8=57*3/9=19,26+4-1=87*3/9=29,26+5-4=81*3/9=27
26+5-7=18*4/3=24,26+7-3=15*8/4=30,26+7-5=84*1/3=28,26+7-5=84*3/9=28
26+7-9=18*4/3=24,26+8-9=75*1/3=25,26+9-7=84*1/3=28,27+1-8=36*5/9=20
27+4-8=69*1/3=23,27+5-6=13*8/4=26,27+5-8=96*1/4=24,27+6-3=15*8/4=30
27+6-5=84*1/3=28,27+6-5=84*3/9=28,27+6-9=18*4/3=24,27+9-6=15*8/4=30
27+9-6=18*5/3=30,27+9-8=14*6/3=28,28+1-4=75*3/9=25,28+1-9=35*4/7=20
28+3-1=45*6/9=30,28+3-7=96*1/4=24,28+5-7=39*4/6=26,28+6-9=75*1/3=25
28+9-1=63*4/7=36,28+9-3=51*4/6=34,28+9-7=15*6/3=30,29+3-5=18*6/4=27
29+4-8=75*1/3=25,29+5-6=84*1/3=28,29+5-7=18*6/4=27,29+6-7=84*1/3=28
29+7-6=15*8/4=30,29+7-6=18*5/3=30,29+7-8=14*6/3=28,29+8-1=63*4/7=36
29+8-3=51*4/6=34,29+8-7=15*6/3=30,31+4-9=78*2/6=26,31+5-8=24*7/6=28
31+5-8=42*6/9=28,31+6-2=45*7/9=35,31+6-2=49*5/7=35,31+6-5=72*4/9=32
31+7-2=54*6/9=36,31+7-8=45*6/9=30,31+7-9=58*2/4=29,31+8-9=42*5/7=30
31+9-2=57*4/6=38,31+9-2=76*4/8=38,31+9-4=27*8/6=36,31+9-8=56*4/7=32
32+5-9=16*7/4=28,32+7-9=15*8/4=30,32+9-1=48*5/6=40,32+9-1=64*5/8=40
32+9-7=51*4/6=34,34+1-9=78*2/6=26,34+9-5=76*1/2=38,35+1-8=24*7/6=28
35+1-8=42*6/9=28,35+2-9=16*7/4=28,35+7-6=18*4/2=36,35+7-6=81*4/9=36
35+8-1=49*6/7=42,35+8-6=74*1/2=37,35+8-7=16*9/4=36,35+8-7=24*9/6=36
35+8-9=17*4/2=34,35+9-1=86*2/4=43,35+9-8=42*6/7=36,36+1-2=45*7/9=35
36+1-2=49*5/7=35,36+1-5=72*4/9=32,36+7-5=19*4/2=38,36+7-5=19*8/4=38
36+7-8=14*5/2=35,36+8-2=54*7/9=42,36+8-4=72*5/9=40,36+8-9=14*5/2=35
36+9-8=74*1/2=37,37+1-2=54*6/9=36,37+1-8=45*6/9=30,37+1-9=58*2/4=29
37+2-9=15*8/4=30,37+5-6=18*4/2=36,37+5-6=81*4/9=36,37+6-5=19*4/2=38
37+6-5=19*8/4=38,37+6-8=14*5/2=35,38+1-9=42*5/7=30,38+5-1=49*6/7=42
38+5-6=74*1/2=37,38+5-7=16*9/4=36,38+5-7=24*9/6=36,38+5-9=17*4/2=34
38+6-2=54*7/9=42,38+6-4=72*5/9=40,38+6-9=14*5/2=35,38+9-5=14*6/2=42
38+9-7=16*5/2=40,39+1-2=57*4/6=38,39+1-2=76*4/8=38,39+1-4=27*8/6=36
39+1-8=56*4/7=32,39+2-1=48*5/6=40,39+2-1=64*5/8=40,39+2-7=51*4/6=34
39+4-5=76*1/2=38,39+5-1=86*2/4=43,39+5-8=42*6/7=36,39+6-8=74*1/2=37
39+8-5=14*6/2=42,39+8-7=16*5/2=40,41+2-7=96*3/8=36,41+2-8=63*5/9=35
41+6-2=35*9/7=45,41+6-5=98*3/7=42,41+6-9=57*2/3=38,41+7-9=52*6/8=39
42+1-7=96*3/8=36,42+1-8=63*5/9=35,42+5-8=91*3/7=39,42+6-3=81*5/9=45
42+7-9=15*8/3=40,42+8-1=63*7/9=49,43+5-9=78*1/2=39,43+8-1=75*6/9=50
43+9-7=15*6/2=45,43+9-7=18*5/2=45,45+2-8=91*3/7=39,45+3-9=78*1/2=39
45+6-9=18*7/3=42,45+7-3=98*1/2=49,45+7-9=86*1/2=43,45+8-2=17*9/3=51
45+8-7=69*2/3=46,45+8-7=92*3/6=46,45+9-3=17*6/2=51,46+1-2=35*9/7=45
46+1-5=98*3/7=42,46+1-9=57*2/3=38,46+2-3=81*5/9=45,46+5-9=18*7/3=42
46+7-8=15*9/3=45,46+8-5=21*7/3=49,46+8-9=27*5/3=45,47+1-9=52*6/8=39
47+2-9=15*8/3=40,47+5-3=98*1/2=49,47+5-9=86*1/2=43,47+6-8=15*9/3=45
48+2-1=63*7/9=49,48+3-1=75*6/9=50,48+5-2=17*9/3=51,48+5-7=69*2/3=46
48+5-7=92*3/6=46,48+6-5=21*7/3=49,48+6-9=27*5/3=45,48+9-7=25*6/3=50
49+3-7=15*6/2=45,49+3-7=18*5/2=45,49+5-3=17*6/2=51,49+8-7=25*6/3=50
51+2-4=63*7/9=49,51+2-4=98*3/6=49,51+3-2=78*4/6=52,51+3-2=78*6/9=52
51+3-6=42*8/7=48,51+4-3=78*6/9=52,51+4-7=32*9/6=48,51+6-3=27*8/4=54
51+6-3=42*9/7=54,51+6-9=42*8/7=48,51+7-2=63*8/9=56,51+7-2=84*6/9=56
51+8-2=76*3/4=57,51+9-2=87*4/6=58,51+9-4=28*6/3=56,51+9-6=27*8/4=54
51+9-6=72*3/4=54,52+1-4=63*7/9=49,52+1-4=98*3/6=49,52+3-7=96*4/8=48
52+4-7=98*3/6=49,52+4-8=16*9/3=48,52+6-4=18*9/3=54,52+7-3=84*6/9=56
52+7-8=34*9/6=51,52+9-3=87*4/6=58,52+9-7=81*4/6=54,53+1-2=78*4/6=52
53+1-2=78*6/9=52,53+1-6=42*8/7=48,53+2-7=96*4/8=48,53+6-1=29*8/4=58
53+8-4=19*6/2=57,53+9-6=14*8/2=56,54+1-3=78*6/9=52,54+1-7=32*9/6=48
54+2-7=98*3/6=49,54+2-8=16*9/3=48,54+7-9=13*8/2=52,54+9-7=21*8/3=56
54+9-7=28*6/3=56,56+1-3=27*8/4=54,56+1-3=42*9/7=54,56+1-9=42*8/7=48
56+2-4=18*9/3=54,56+3-1=29*8/4=58,56+7-9=81*2/3=54,56+9-1=24*8/3=64
56+9-1=32*8/4=64,57+1-2=63*8/9=56,57+1-2=84*6/9=56,57+2-3=84*6/9=56
57+2-8=34*9/6=51,57+4-9=13*8/2=52,57+6-9=81*2/3=54,57+8-1=96*2/3=64
58+1-2=76*3/4=57,58+3-4=19*6/2=57,58+7-1=96*2/3=64,59+1-2=87*4/6=58
59+1-4=28*6/3=56,59+1-6=27*8/4=54,59+1-6=72*3/4=54,59+2-3=87*4/6=58
59+2-7=81*4/6=54,59+3-6=14*8/2=56,59+4-7=21*8/3=56,59+4-7=28*6/3=56
59+6-1=24*8/3=64,59+6-1=32*8/4=64,61+2-3=84*5/7=60,61+5-3=28*9/4=63
61+7-5=28*9/4=63,62+1-3=84*5/7=60,62+4-3=81*7/9=63,62+5-4=81*7/9=63
62+9-1=35*8/4=70,63+4-2=91*5/7=65,63+4-7=15*8/2=60,63+5-4=72*8/9=64
63+9-4=17*8/2=68,64+2-3=81*7/9=63,64+3-2=91*5/7=65,64+3-7=15*8/2=60
64+7-8=21*9/3=63,64+9-1=27*8/3=72,64+9-5=17*8/2=68,65+1-3=28*9/4=63
65+2-4=81*7/9=63,65+3-4=72*8/9=64,65+8-1=24*9/3=72,65+8-1=32*9/4=72
67+1-5=28*9/4=63,67+4-8=21*9/3=63,67+9-8=34*2/1=68,67+9-8=51*4/3=68
68+5-1=24*9/3=72,68+5-1=32*9/4=72,68+9-1=57*4/3=76,68+9-5=24*3/1=72
68+9-7=35*2/1=70,68+9-7=35*4/2=70,68+9-7=42*5/3=70,69+2-1=35*8/4=70
69+3-4=17*8/2=68,69+4-1=27*8/3=72,69+4-5=17*8/2=68,69+7-8=34*2/1=68
69+7-8=51*4/3=68,69+8-1=57*4/3=76,69+8-5=24*3/1=72,69+8-7=35*2/1=70
69+8-7=35*4/2=70,69+8-7=42*5/3=70,71+2-3=84*5/6=70,71+3-2=48*9/6=72
71+3-2=54*8/6=72,71+3-2=64*9/8=72,71+3-5=92*6/8=69,71+6-5=24*9/3=72
71+6-5=32*9/4=72,71+6-5=48*3/2=72,71+6-8=92*3/4=69,71+8-4=25*9/3=75
71+8-9=35*4/2=70,71+8-9=42*5/3=70,71+9-8=36*4/2=72,72+1-3=84*5/6=70
72+9-1=48*5/3=80,73+1-2=48*9/6=72,73+1-2=54*8/6=72,73+1-2=64*9/8=72
73+1-5=92*6/8=69,73+4-5=16*9/2=72,73+4-9=51*8/6=68,74+3-5=16*9/2=72
74+3-9=51*8/6=68,74+5-1=26*9/3=78,74+5-3=19*8/2=76,74+9-5=26*3/1=78
74+9-8=25*3/1=75,75+4-1=26*9/3=78,75+4-3=19*8/2=76,75+6-9=24*3/1=72
75+6-9=48*3/2=72,75+8-2=36*9/4=81,75+9-2=41*6/3=82,76+1-5=24*9/3=72
76+1-5=32*9/4=72,76+1-5=48*3/2=72,76+1-8=92*3/4=69,76+5-9=24*3/1=72
76+5-9=48*3/2=72,76+8-9=25*3/1=75,78+1-4=25*9/3=75,78+1-9=35*4/2=70
78+1-9=42*5/3=70,78+5-2=36*9/4=81,78+6-9=25*3/1=75,78+9-5=41*6/3=82
78+9-6=54*3/2=81,79+1-8=36*4/2=72,79+2-1=48*5/3=80,79+4-5=26*3/1=78
79+4-8=25*3/1=75,79+5-2=41*6/3=82,79+8-5=41*6/3=82,79+8-6=54*3/2=81
81+4-7=26*9/3=78,81+4-7=52*9/6=78,81+7-4=56*3/2=84,82+4-5=63*9/7=81
82+9-1=45*6/3=90,83+9-1=52*7/4=91,84+1-7=26*9/3=78,84+1-7=52*9/6=78
84+2-5=63*9/7=81,84+6-9=27*3/1=81,84+7-1=36*5/2=90,85+6-4=29*3/1=87
85+7-6=43*2/1=86,86+4-9=27*3/1=81,86+5-4=29*3/1=87,86+7-3=45*2/1=90
87+1-4=56*3/2=84,87+4-1=36*5/2=90,87+5-6=43*2/1=86,87+6-3=45*2/1=90
87+9-6=45*2/1=90,89+2-1=45*6/3=90,89+3-1=52*7/4=91,89+7-6=45*2/1=90
91+3-7=58*6/4=87,91+5-2=47*6/3=94,91+7-2=48*6/3=96,91+7-8=36*5/2=90
91+7-8=45*6/3=90,91+8-5=47*6/3=94,92+5-1=48*6/3=96,93+1-7=58*6/4=87
93+4-1=72*8/6=96,93+6-5=47*2/1=94,93+6-8=52*7/4=91,93+7-8=46*2/1=92
94+3-1=72*8/6=96,94+5-3=72*8/6=96,94+7-6=38*5/2=95,94+7-8=31*6/2=93
95+1-2=47*6/3=94,95+2-1=48*6/3=96,95+4-3=72*8/6=96,95+7-6=48*2/1=96
95+8-1=34*6/2=102,95+8-7=64*3/2=96,96+3-5=47*2/1=94,96+3-8=52*7/4=91
96+7-3=25*4/1=100,97+1-2=48*6/3=96,97+1-8=36*5/2=90,97+1-8=45*6/3=90
97+3-8=46*2/1=92,97+4-6=38*5/2=95,97+4-8=31*6/2=93,97+5-6=48*2/1=96
97+6-3=25*4/1=100,97+8-1=52*6/3=104,97+8-3=51*4/2=102,98+1-5=47*6/3=94
98+5-1=34*6/2=102,98+5-7=64*3/2=96,98+7-1=52*6/3=104,98+7-3=51*4/2=102

59+4-3=15*4/1
按这套路来有很多啦

89+7-6=45×2÷1