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问题描述:
一: ?-(?+?)*?+?=2008
(一:加油哦,,越多越好!!)
二:1( )23( )4( )56( )7( )8( )9 =100
( 二: 空格内用“+”和“-” )
三:()()()()/()+()()()+()-()/()=2006
(三: “/”= 除 )
大家努力加油哦!我等你们的好消息!谢谢!!
解析:
一: ?-(?+?)*?+?=2008
问号处填什么呢,应该有所限制。
1、填上0~9中的8个数字,有40个算式:
2034-(1+6)*5+9=2008,2035-(1+4)*7+8=2008,2035-(1+8)*4+9=2008
2041-(5+8)*3+6=2008,2041-(6+8)*3+9=2008,2045-(6+9)*3+8=2008
2046-(1+8)*5+7=2008,2047-(1+5)*8+9=2008,2047-(3+5)*6+9=2008
2048-(1+6)*7+9=2008,2051-(3+4)*7+6=2008,2051-(6+7)*4+9=2008
2053-(1+6)*7+4=2008,2053-(1+8)*6+9=2008,2061-(3+9)*5+7=2008
2061-(4+8)*5+7=2008,2061-(5+9)*4+3=2008,2063-(1+7)*8+9=2008
2063-(4+5)*7+8=2008,2063-(7+8)*4+5=2008,2071-(3+6)*8+9=2008
2071-(4+5)*8+9=2008,2071-(4+8)*6+9=2008,2071-(8+9)*4+5=2008
2074-(3+5)*9+6=2008,2081-(4+9)*6+5=2008,2081-(5+6)*7+4=2008
2083-(4+5)*9+6=2008,2084-(3+6)*9+5=2008,2091-(4+7)*8+5=2008
2093-(5+8)*7+6=2008,2093-(7+8)*6+5=2008,2103-(5+6)*9+4=2008
2103-(6+7)*8+9=2008,2103-(8+9)*6+7=2008,2105-(4+9)*8+7=2008
2105-(6+9)*7+8=2008,2130-(6+8)*9+4=2008,2130-(7+9)*8+6=2008
2140-(7+8)*9+3=2008
2、填上0~9中的9个数字,有【78+66】个算式:
2083-(15+6)*4+9=2008,2093-(15+8)*4+7=2008,2160-(45+8)*3+7=2008
2184-(30+7)*5+9=2008,2340-(61+7)*5+8=2008,2341-(50+7)*6+9=2008
2341-(60+8)*5+7=2008,2350-(41+9)*7+8=2008,2350-(78+9)*4+6=2008
2361-(40+5)*8+7=2008,2367-(40+5)*8+1=2008,2367-(41+5)*8+9=2008
2370-(41+5)*8+6=2008,2371-(40+6)*8+5=2008,2371-(54+8)*6+9=2008
2375-(40+6)*8+1=2008,2375-(41+6)*8+9=2008,2376-(41+5)*8+0=2008
2380-(45+9)*7+6=2008,2381-(90+5)*4+7=2008,2384-(71+6)*5+9=2008
2386-(45+9)*7+0=2008,2401-(57+9)*6+3=2008,2403-(57+9)*6+1=2008
2403-(58+9)*6+7=2008,2410-(73+9)*5+8=2008,2413-(50+9)*7+8=2008
2431-(80+6)*5+7=2008,2461-(50+7)*8+3=2008,2461-(83+9)*5+7=2008
2463-(50+7)*8+1=2008,2463-(51+7)*8+9=2008,2470-(91+3)*5+8=2008
2471-(53+6)*8+9=2008,2481-(90+6)*5+7=2008,2483-(71+9)*6+5=2008
2485-(71+9)*6+3=2008,2501-(63+8)*7+4=2008,2503-(64+8)*7+9=2008
2504-(63+8)*7+1=2008,2504-(63+9)*7+8=2008,2513-(60+4)*8+7=2008
2517-(60+4)*8+3=2008,2541-(60+7)*8+3=2008,2543-(60+7)*8+1=2008
2543-(61+7)*8+9=2008,2570-(91+4)*6+8=2008,2571-(60+3)*9+4=2008
2574-(60+3)*9+1=2008,2580-(61+3)*9+4=2008,2581-(60+4)*9+3=2008
2583-(60+4)*9+1=2008,2584-(61+3)*9+0=2008,2590-(81+3)*7+6=2008
2594-(71+3)*8+6=2008,2596-(71+3)*8+4=2008,2596-(81+3)*7+0=2008
2603-(71+4)*8+5=2008,2605-(71+4)*8+3=2008,2615-(73+4)*8+9=2008
2630-(84+5)*7+1=2008,2631-(74+5)*8+9=2008,2631-(84+5)*7+0=2008
2643-(71+9)*8+5=2008,2645-(71+9)*8+3=2008,2651-(90+3)*7+8=2008
2680-(71+4)*9+3=2008,2683-(71+4)*9+0=2008,2751-(80+3)*9+4=2008
2754-(80+3)*9+1=2008,2754-(91+3)*8+6=2008,2756-(91+3)*8+4=2008
2760-(81+3)*9+4=2008,2761-(80+4)*9+3=2008,2763-(80+4)*9+1=2008
2763-(91+4)*8+5=2008,2764-(81+3)*9+0=2008,2765-(91+4)*8+3=2008
2156-(4+0)*39+8=2008,2158-(4+0)*39+6=2008,2184-(5+0)*37+9=2008
2316-(0+4)*79+8=2008,2316-(4+0)*79+8=2008,2318-(0+4)*79+6=2008
2318-(4+0)*79+6=2008,2341-(0+5)*68+7=2008,2341-(5+0)*68+7=2008
2341-(6+0)*57+9=2008,2347-(0+5)*68+1=2008,2347-(5+0)*68+1=2008
2347-(6+0)*58+9=2008,2360-(7+1)*45+8=2008,2361-(8+0)*45+7=2008
2371-(8+0)*46+5=2008,2375-(8+0)*46+1=2008,2381-(0+4)*95+7=2008
2381-(4+0)*95+7=2008,2385-(0+4)*96+7=2008,2385-(4+0)*96+7=2008
2407-(1+5)*68+9=2008,2407-(5+1)*68+9=2008,2413-(7+0)*59+8=2008
2418-(7+0)*59+3=2008,2431-(0+5)*86+7=2008,2431-(5+0)*86+7=2008
2461-(8+0)*57+3=2008,2463-(7+1)*58+9=2008,2463-(8+0)*57+1=2008
2481-(0+5)*96+7=2008,2481-(5+0)*96+7=2008,2513-(8+0)*64+7=2008
2516-(8+3)*47+9=2008,2541-(8+0)*67+3=2008,2543-(7+1)*68+9=2008
2543-(8+0)*67+1=2008,2560-(3+4)*79+1=2008,2560-(4+3)*79+1=2008
2561-(3+4)*79+0=2008,2561-(4+3)*79+0=2008,2571-(9+0)*63+4=2008
2581-(9+0)*64+3=2008,2583-(9+0)*64+1=2008,2651-(0+7)*93+8=2008
2651-(7+0)*93+8=2008,2671-(3+5)*84+9=2008,2671-(5+3)*84+9=2008
2710-(8+4)*59+6=2008,2714-(3+5)*89+6=2008,2714-(5+3)*89+6=2008
2714-(8+3)*65+9=2008,2716-(3+5)*89+4=2008,2716-(5+3)*89+4=2008
2716-(8+4)*59+0=2008,2751-(9+0)*83+4=2008,2761-(9+0)*84+3=2008
2763-(9+0)*84+1=2008,2813-(5+6)*74+9=2008,2813-(6+5)*74+9=2008
2951-(4+7)*86+3=2008,2951-(7+4)*86+3=2008,2953-(4+7)*86+1=2008
2953-(7+4)*86+1=2008,3104-(6+7)*85+9=2008,3104-(7+6)*85+9=2008
二:1( )23( )4( )56( )7( )8( )9 =100
1+23-4+56+7+8+9=100【唯一的解】
三:()()()()/()+()()()+()-()/()=2006
共有11个括号,里面都填什么呢?我改一下,去掉一个括号,然后不多不漏地填上0~9
1、【()()()()/()+()()()-()/()=2006 】,25个算式:
3056/2+487-9/1=2006,3654/2+179-0/8=2006,3698/2+157-0/4=2006
4281/3+579-0/6=2006,5196/3+274-0/8=2006,5218/4+703-9/6=2006
5280/4+693-7/1=2006,5312/4+678-0/9=2006,5479/3+180-2/6=2006
6512/4+378-0/9=2006,6752/4+318-0/9=2006,7018/4+253-9/6=2006
7104/6+825-9/3=2006,7352/4+168-0/9=2006,7392/4+158-0/6=2006
7890/5+431-6/2=2006,7980/5+412-6/3=2006,7980/5+413-6/2=2006
8240/5+367-9/1=2006,8740/5+261-9/3=2006,8790/6+543-2/1=2006
8934/6+517-0/2=2006,8940/6+523-7/1=2006,8970/5+214-6/3=2006
8970/6+513-4/2=2006
2、【()()()()/()+()()+()-()/()=2006 】,50个算式:
3850/2+76+9-4/1=2006,3850/2+79+6-4/1=2006,3864/2+70+9-5/1=2006
3864/2+79+0-5/1=2006,3896/2+51+7-0/4=2006,3896/2+57+1-0/4=2006
3906/2+54+7-8/1=2006,3906/2+57+4-8/1=2006,3968/2+15+7-0/4=2006
3968/2+17+5-0/4=2006,5712/3+94+8-0/6=2006,5712/3+98+4-0/6=2006
5718/3+94+6-0/2=2006,5718/3+96+4-0/2=2006,5742/3+90+8-6/1=2006
5742/3+98+0-6/1=2006,5769/3+81+2-0/4=2006,5769/3+82+1-0/4=2006
5802/3+67+9-4/1=2006,5802/3+69+7-4/1=2006,5817/3+60+9-4/2=2006
5817/3+69+0-4/2=2006,5820/3+64+9-7/1=2006,5820/3+69+4-7/1=2006
5829/3+60+7-4/1=2006,5829/3+67+0-4/1=2006,5941/3+20+7-8/6=2006
5941/3+27+0-8/6=2006,5970/3+12+6-8/4=2006,5970/3+14+6-8/2=2006
5970/3+16+2-8/4=2006,5970/3+16+4-8/2=2006,7612/4+95+8-0/3=2006
7612/4+98+5-0/3=2006,7810/4+52+3-9/6=2006,7810/4+53+2-9/6=2006
7812/4+50+6-9/3=2006,7812/4+56+0-9/3=2006,7932/4+15+8-0/6=2006
7932/4+18+5-0/6=2006,9630/5+74+8-2/1=2006,9630/5+78+4-2/1=2006
9640/5+82+3-7/1=2006,9640/5+83+2-7/1=2006,9720/5+61+3-8/4=2006
9720/5+63+1-8/4=2006,9820/5+43+6-7/1=2006,9820/5+46+3-7/1=2006
9870/5+31+4-6/2=2006,9870/5+34+1-6/2=2006
问题描述:
一: ?-(?+?)*?+?=2008
(一:加油哦,,越多越好!!)
二:1( )23( )4( )56( )7( )8( )9 =100
( 二: 空格内用“+”和“-” )
三:()()()()/()+()()()+()-()/()=2006
(三: “/”= 除 )
大家努力加油哦!我等你们的好消息!谢谢!!
解析:
一: ?-(?+?)*?+?=2008
问号处填什么呢,应该有所限制。
1、填上0~9中的8个数字,有40个算式:
2034-(1+6)*5+9=2008,2035-(1+4)*7+8=2008,2035-(1+8)*4+9=2008
2041-(5+8)*3+6=2008,2041-(6+8)*3+9=2008,2045-(6+9)*3+8=2008
2046-(1+8)*5+7=2008,2047-(1+5)*8+9=2008,2047-(3+5)*6+9=2008
2048-(1+6)*7+9=2008,2051-(3+4)*7+6=2008,2051-(6+7)*4+9=2008
2053-(1+6)*7+4=2008,2053-(1+8)*6+9=2008,2061-(3+9)*5+7=2008
2061-(4+8)*5+7=2008,2061-(5+9)*4+3=2008,2063-(1+7)*8+9=2008
2063-(4+5)*7+8=2008,2063-(7+8)*4+5=2008,2071-(3+6)*8+9=2008
2071-(4+5)*8+9=2008,2071-(4+8)*6+9=2008,2071-(8+9)*4+5=2008
2074-(3+5)*9+6=2008,2081-(4+9)*6+5=2008,2081-(5+6)*7+4=2008
2083-(4+5)*9+6=2008,2084-(3+6)*9+5=2008,2091-(4+7)*8+5=2008
2093-(5+8)*7+6=2008,2093-(7+8)*6+5=2008,2103-(5+6)*9+4=2008
2103-(6+7)*8+9=2008,2103-(8+9)*6+7=2008,2105-(4+9)*8+7=2008
2105-(6+9)*7+8=2008,2130-(6+8)*9+4=2008,2130-(7+9)*8+6=2008
2140-(7+8)*9+3=2008
2、填上0~9中的9个数字,有【78+66】个算式:
2083-(15+6)*4+9=2008,2093-(15+8)*4+7=2008,2160-(45+8)*3+7=2008
2184-(30+7)*5+9=2008,2340-(61+7)*5+8=2008,2341-(50+7)*6+9=2008
2341-(60+8)*5+7=2008,2350-(41+9)*7+8=2008,2350-(78+9)*4+6=2008
2361-(40+5)*8+7=2008,2367-(40+5)*8+1=2008,2367-(41+5)*8+9=2008
2370-(41+5)*8+6=2008,2371-(40+6)*8+5=2008,2371-(54+8)*6+9=2008
2375-(40+6)*8+1=2008,2375-(41+6)*8+9=2008,2376-(41+5)*8+0=2008
2380-(45+9)*7+6=2008,2381-(90+5)*4+7=2008,2384-(71+6)*5+9=2008
2386-(45+9)*7+0=2008,2401-(57+9)*6+3=2008,2403-(57+9)*6+1=2008
2403-(58+9)*6+7=2008,2410-(73+9)*5+8=2008,2413-(50+9)*7+8=2008
2431-(80+6)*5+7=2008,2461-(50+7)*8+3=2008,2461-(83+9)*5+7=2008
2463-(50+7)*8+1=2008,2463-(51+7)*8+9=2008,2470-(91+3)*5+8=2008
2471-(53+6)*8+9=2008,2481-(90+6)*5+7=2008,2483-(71+9)*6+5=2008
2485-(71+9)*6+3=2008,2501-(63+8)*7+4=2008,2503-(64+8)*7+9=2008
2504-(63+8)*7+1=2008,2504-(63+9)*7+8=2008,2513-(60+4)*8+7=2008
2517-(60+4)*8+3=2008,2541-(60+7)*8+3=2008,2543-(60+7)*8+1=2008
2543-(61+7)*8+9=2008,2570-(91+4)*6+8=2008,2571-(60+3)*9+4=2008
2574-(60+3)*9+1=2008,2580-(61+3)*9+4=2008,2581-(60+4)*9+3=2008
2583-(60+4)*9+1=2008,2584-(61+3)*9+0=2008,2590-(81+3)*7+6=2008
2594-(71+3)*8+6=2008,2596-(71+3)*8+4=2008,2596-(81+3)*7+0=2008
2603-(71+4)*8+5=2008,2605-(71+4)*8+3=2008,2615-(73+4)*8+9=2008
2630-(84+5)*7+1=2008,2631-(74+5)*8+9=2008,2631-(84+5)*7+0=2008
2643-(71+9)*8+5=2008,2645-(71+9)*8+3=2008,2651-(90+3)*7+8=2008
2680-(71+4)*9+3=2008,2683-(71+4)*9+0=2008,2751-(80+3)*9+4=2008
2754-(80+3)*9+1=2008,2754-(91+3)*8+6=2008,2756-(91+3)*8+4=2008
2760-(81+3)*9+4=2008,2761-(80+4)*9+3=2008,2763-(80+4)*9+1=2008
2763-(91+4)*8+5=2008,2764-(81+3)*9+0=2008,2765-(91+4)*8+3=2008
2156-(4+0)*39+8=2008,2158-(4+0)*39+6=2008,2184-(5+0)*37+9=2008
2316-(0+4)*79+8=2008,2316-(4+0)*79+8=2008,2318-(0+4)*79+6=2008
2318-(4+0)*79+6=2008,2341-(0+5)*68+7=2008,2341-(5+0)*68+7=2008
2341-(6+0)*57+9=2008,2347-(0+5)*68+1=2008,2347-(5+0)*68+1=2008
2347-(6+0)*58+9=2008,2360-(7+1)*45+8=2008,2361-(8+0)*45+7=2008
2371-(8+0)*46+5=2008,2375-(8+0)*46+1=2008,2381-(0+4)*95+7=2008
2381-(4+0)*95+7=2008,2385-(0+4)*96+7=2008,2385-(4+0)*96+7=2008
2407-(1+5)*68+9=2008,2407-(5+1)*68+9=2008,2413-(7+0)*59+8=2008
2418-(7+0)*59+3=2008,2431-(0+5)*86+7=2008,2431-(5+0)*86+7=2008
2461-(8+0)*57+3=2008,2463-(7+1)*58+9=2008,2463-(8+0)*57+1=2008
2481-(0+5)*96+7=2008,2481-(5+0)*96+7=2008,2513-(8+0)*64+7=2008
2516-(8+3)*47+9=2008,2541-(8+0)*67+3=2008,2543-(7+1)*68+9=2008
2543-(8+0)*67+1=2008,2560-(3+4)*79+1=2008,2560-(4+3)*79+1=2008
2561-(3+4)*79+0=2008,2561-(4+3)*79+0=2008,2571-(9+0)*63+4=2008
2581-(9+0)*64+3=2008,2583-(9+0)*64+1=2008,2651-(0+7)*93+8=2008
2651-(7+0)*93+8=2008,2671-(3+5)*84+9=2008,2671-(5+3)*84+9=2008
2710-(8+4)*59+6=2008,2714-(3+5)*89+6=2008,2714-(5+3)*89+6=2008
2714-(8+3)*65+9=2008,2716-(3+5)*89+4=2008,2716-(5+3)*89+4=2008
2716-(8+4)*59+0=2008,2751-(9+0)*83+4=2008,2761-(9+0)*84+3=2008
2763-(9+0)*84+1=2008,2813-(5+6)*74+9=2008,2813-(6+5)*74+9=2008
2951-(4+7)*86+3=2008,2951-(7+4)*86+3=2008,2953-(4+7)*86+1=2008
2953-(7+4)*86+1=2008,3104-(6+7)*85+9=2008,3104-(7+6)*85+9=2008
二:1( )23( )4( )56( )7( )8( )9 =100
1+23-4+56+7+8+9=100【唯一的解】
三:()()()()/()+()()()+()-()/()=2006
共有11个括号,里面都填什么呢?我改一下,去掉一个括号,然后不多不漏地填上0~9
1、【()()()()/()+()()()-()/()=2006 】,25个算式:
3056/2+487-9/1=2006,3654/2+179-0/8=2006,3698/2+157-0/4=2006
4281/3+579-0/6=2006,5196/3+274-0/8=2006,5218/4+703-9/6=2006
5280/4+693-7/1=2006,5312/4+678-0/9=2006,5479/3+180-2/6=2006
6512/4+378-0/9=2006,6752/4+318-0/9=2006,7018/4+253-9/6=2006
7104/6+825-9/3=2006,7352/4+168-0/9=2006,7392/4+158-0/6=2006
7890/5+431-6/2=2006,7980/5+412-6/3=2006,7980/5+413-6/2=2006
8240/5+367-9/1=2006,8740/5+261-9/3=2006,8790/6+543-2/1=2006
8934/6+517-0/2=2006,8940/6+523-7/1=2006,8970/5+214-6/3=2006
8970/6+513-4/2=2006
2、【()()()()/()+()()+()-()/()=2006 】,50个算式:
3850/2+76+9-4/1=2006,3850/2+79+6-4/1=2006,3864/2+70+9-5/1=2006
3864/2+79+0-5/1=2006,3896/2+51+7-0/4=2006,3896/2+57+1-0/4=2006
3906/2+54+7-8/1=2006,3906/2+57+4-8/1=2006,3968/2+15+7-0/4=2006
3968/2+17+5-0/4=2006,5712/3+94+8-0/6=2006,5712/3+98+4-0/6=2006
5718/3+94+6-0/2=2006,5718/3+96+4-0/2=2006,5742/3+90+8-6/1=2006
5742/3+98+0-6/1=2006,5769/3+81+2-0/4=2006,5769/3+82+1-0/4=2006
5802/3+67+9-4/1=2006,5802/3+69+7-4/1=2006,5817/3+60+9-4/2=2006
5817/3+69+0-4/2=2006,5820/3+64+9-7/1=2006,5820/3+69+4-7/1=2006
5829/3+60+7-4/1=2006,5829/3+67+0-4/1=2006,5941/3+20+7-8/6=2006
5941/3+27+0-8/6=2006,5970/3+12+6-8/4=2006,5970/3+14+6-8/2=2006
5970/3+16+2-8/4=2006,5970/3+16+4-8/2=2006,7612/4+95+8-0/3=2006
7612/4+98+5-0/3=2006,7810/4+52+3-9/6=2006,7810/4+53+2-9/6=2006
7812/4+50+6-9/3=2006,7812/4+56+0-9/3=2006,7932/4+15+8-0/6=2006
7932/4+18+5-0/6=2006,9630/5+74+8-2/1=2006,9630/5+78+4-2/1=2006
9640/5+82+3-7/1=2006,9640/5+83+2-7/1=2006,9720/5+61+3-8/4=2006
9720/5+63+1-8/4=2006,9820/5+43+6-7/1=2006,9820/5+46+3-7/1=2006
9870/5+31+4-6/2=2006,9870/5+34+1-6/2=2006
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