
简便方法计算(过程)
2008^2-2007*2009(11/2)^2-2*(11/2)*(1/2)+(1/2)^2...
2008^2 -2007*2009
(11/2)^2 -2*(11/2) *(1/2) +(1/2)^2 展开
(11/2)^2 -2*(11/2) *(1/2) +(1/2)^2 展开
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2008^2 -2007*2009
=2008^2 -(2008-1)*(2008+1)
=2008^2 -(2008^2-1)
=2008^2-2008^2+1
=1
(11/2)^2 -2*(11/2) *(1/2) +(1/2)^2
=(11/2)^2 -(11/2) *2*(1/2) +(1/2)^2
=(11/2)^2 -11/2+(1/2)^2
=11/2*(11/2-1)+1/4
=11/2*9/2+1/4
=99/4+1/4
=100/4
=25
=2008^2 -(2008-1)*(2008+1)
=2008^2 -(2008^2-1)
=2008^2-2008^2+1
=1
(11/2)^2 -2*(11/2) *(1/2) +(1/2)^2
=(11/2)^2 -(11/2) *2*(1/2) +(1/2)^2
=(11/2)^2 -11/2+(1/2)^2
=11/2*(11/2-1)+1/4
=11/2*9/2+1/4
=99/4+1/4
=100/4
=25
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