定义新运算定义“*”,a*b=(a+b)/2如:2*4=3(1)计算1996*1998,1998*1996(2)计算1997*7*1,1997*(7*1)
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![定义新运算定义“*”,a*b=(a+b)/2如:2*4=3(1)计算1996*1998,1998*1996(2)计算1997*7*1,1997*(7*1)](/uploads/image/z/1990003-67-3.jpg?t=%E5%AE%9A%E4%B9%89%E6%96%B0%E8%BF%90%E7%AE%97%E5%AE%9A%E4%B9%89%E2%80%9C%2A%E2%80%9D%2Ca%2Ab%3D%28a%2Bb%29%2F2%E5%A6%82%EF%BC%9A2%2A4%3D3%EF%BC%881%EF%BC%89%E8%AE%A1%E7%AE%971996%2A1998%2C1998%2A1996%EF%BC%882%EF%BC%89%E8%AE%A1%E7%AE%971997%2A7%2A1%2C1997%2A%EF%BC%887%2A1%EF%BC%89)
定义新运算定义“*”,a*b=(a+b)/2如:2*4=3(1)计算1996*1998,1998*1996(2)计算1997*7*1,1997*(7*1)
定义新运算
定义“*”,a*b=(a+b)/2
如:2*4=3
(1)计算1996*1998,1998*1996
(2)计算1997*7*1,1997*(7*1)
定义新运算定义“*”,a*b=(a+b)/2如:2*4=3(1)计算1996*1998,1998*1996(2)计算1997*7*1,1997*(7*1)
1996*1998,=(1996+1998)/2=1997
1998*1996=(1998+1996)/2=1997
1997*7*1
1997*7=(1997+7)/2=1002
1002*1=(1002+1)/2=501.5
1997*(7*1)
(7*1) =(7+1)/2=4
1997*4=(1997+4)/2=1000.5
1996*1998=(1996+1998)/2=1997 1998*1996=1997
1997*7*1=(1997+7)/2*1=1002*1=501.5 1997*(7*1)=1997*4=1000.5
1996*1998,=(1996+1998)/2=1997
1998*1996=(1998+1996)/2=1997
1997*7*1
1997*7=(1997+7)/2=1002
1002*1=(1002+1)/2=501.5
1997*(7*1)
(7*1) =(7+1)/2=4
1997*4=(1997+4)/2=1000.5
1996*1998=(1996+1998)/2=1997
1998*1996=(1998+1996)/2=1997
1997*7*1=(1997+7)/2 *1=1002*1=(1002+1)/2=501.5
1997*(7*1)=1997*[(7+1)/2]=1997*4=(1997+4)/2=1000.5
应该是这样的。在定义了新的运算后,有的时候一些运算定律是不能成立的。仅供参考
1.1996*1998=1998*1996=(1996+1998)/2=(2000+2000-4-2)/2=2000-3=1997
2.1997*7*1=(1997+7)/2 *1=1002*1=1003/2=501.5
1997*(7*1)=1997* (8/2)=1997*4=2001/2=1000.5
1996*1998=(1996+1998)/2=1997
1998*1996=(1998+1996)/2=1997
1997*7*1=(1997*7)*1=(1997+7)/2*1=1002*1=(1002+1)/2=501.5
1997*(7*1)=1997*(7+1)/2=1997*4=(1997+4)/2=1000.5
1996*1998=(1996+1998)/2=1997
1998*1996=(1998+1996)/2=1997
1997*7*1=(1997+7)/2 *1=1002*1=(1002+1)/2=501.5
1997*(7*1)=1997*[(7+1)/2]=1997*4=(1997+4)/2=1000.5
(1)1996*1998
=(1996+1998)/2
=3994/2
=1997
1998*1996
=(1998+1996)/2
=3994/2
=1997
或因为*满足交换律,即1996*1998=1998*1996=1997
(2)1997*7*...
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(1)1996*1998
=(1996+1998)/2
=3994/2
=1997
1998*1996
=(1998+1996)/2
=3994/2
=1997
或因为*满足交换律,即1996*1998=1998*1996=1997
(2)1997*7*1
=【(1997+7)/2】*1
=1002*1
=(1002+1)/2
=501.5
1997*(7*1)
=1997*【(7+1)/2】
=1997*4
=(1997+4)/2
=2003/2
=1001.5
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