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a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求

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发表于 2012-7-30 16:09 | 显示全部楼层 |阅读模式
已知:a≠0,b≠0,c≠0,a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,a,b,c,满足a^3+b^3=c^3,a*b=c,a*c≠b,b*c≠a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,f≠±1,a,b,c,满足a^f+b^f=c^f,a*b=c,a*c≠b,b*c≠a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,a,b,c,d,满足a^f+b^f+c^f=d^f,a*b*c=d,a*b*d≠c,a*c*d=b,b*c*d≠a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,p≠0,f≠±1,a,b,c,d,p,满足a^f+b^f+c^f+d^f=p^f,a*b*c*d=p,a*b*c*p≠d,a*b*d*p=c,a*c*d*p≠b,b*c*d*p=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,n≠±1,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d≠c,a*c*d=b,b*c*d≠a
求证:a=?b=?c=?

 楼主| 发表于 2012-7-30 16:23 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,d≠0,f≠0,n≠0,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d≠c,a*c*d=b,b*c*d≠a
求证:a=?b=?c=?
 楼主| 发表于 2012-7-30 16:25 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,f≠0,a,b,c,满足a^f+b^f=c^f,a*b=c,a*c≠b,b*c≠a
求证:a=?b=?c=?
 楼主| 发表于 2012-7-30 16:26 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,d≠0,f≠0,a,b,c,d,满足a^f+b^f+c^f=d^f,a*b*c=d,a*b*d≠c,a*c*d=b,b*c*d≠a
求证:a=?b=?c=?
 楼主| 发表于 2012-7-30 16:42 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:整数a>0,b=a+1,p>0
求证:a*b≠p^2
已知:整数a>0,b=a+1,p>0
求证:a*b≠p^3
已知:整数a>0,b=a+1,p>0,f>1
求证:a*b≠p^f
 楼主| 发表于 2012-7-30 17:15 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

+3+5+7+9+11+13+15+17+...+101+103+105+...N=[(N+1)/2]^2
2+4+6+8+10+12+14+16+...102+104+106+...P=(P/2)*(P/2+1)
1+2+3+4+5+6+...100=(100/2)^2+(100/2)*(100/2+1)=2500+2550=5050
1+2+3+4+5+6+................10000000=(10000000/2)^2+(10000000/2)*(10000000/2+1)

 楼主| 发表于 2012-7-30 17:31 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a
求证:a=?b=?c=?
奖100人民币:求出a=?b=?c=?值,有效期3个月
2012.7.30
 楼主| 发表于 2012-7-30 18:10 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,a,b,c,满足a²+b²=c²,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,a,b,c,满足a^3+b^3=c^3,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,f≠±1,a,b,c,满足a^f+b^f=c^f,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,a,b,c,d,满足a^f+b^f+c^f=d^f,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,p≠0,f≠±1,a,b,c,d,p,满足a^f+b^f+c^f+d^f=p^f,a*b*c*d=p,a*b*c*p=d,a*b*d*p=c,a*c*d*p=b,b*c*d*p=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,n≠±1,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
 楼主| 发表于 2012-7-30 18:18 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,a,b,c,满足a²+b²=c²,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,a,b,c,满足a^3+b^3=c^3,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,f≠±1,a,b,c,满足a^f+b^f=c^f,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,a,b,c,d,满足a^f+b^f+c^f=d^f,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,p≠0,f≠±1,a,b,c,d,p,满足a^f+b^f+c^f+d^f=p^f,a*b*c*d=p,a*b*c*p=d,a*b*d*p=c,a*c*d*p=b,b*c*d*p=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,n≠±1,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
命题写错了改写成:
已知:a≠0,b≠0,c≠0,a,b,c,满足a²+b²=c²,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,a,b,c,满足a^3+b^3=c^3,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,f≠±1,a,b,c,满足a^f+b^f=c^f,a*b=c,a*c=b,b*c=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,a,b,c,d,满足a^f+b^f+c^f=d^f,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,p≠0,f≠±1,a,b,c,d,p,满足a^f+b^f+c^f+d^f=p^f,a*b*c*d=p,a*b*c*p=d,a*b*d*p=c,a*c*d*p=b,b*c*d*p=a
求证:a=?b=?c=?
已知:a≠0,b≠0,c≠0,d≠0,f≠±1,n≠±1,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?

 楼主| 发表于 2012-7-30 18:19 | 显示全部楼层

a,b,c,满足a²+b²=c²,a*b=c,a*c≠b,b*c≠a,求证:求证:a=?b=?c=?

已知:a≠0,b≠0,c≠0,d≠0,f≠0,n≠0,a,b,c,d,满足a^f+b^f+c^f+...=d^n,a*b*c=d,a*b*d=c,a*c*d=b,b*c*d=a
求证:a=?b=?c=?
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