如果a-b=2 a-c=1/2,那么a的2次方+b的2次方+c的的2次方-ab-ac-bc=
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2013-04-26
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2a^2+2b^2+2c^2-2ab-2ac-2bc
=(a-b)^2+(a-c)^2+(b-c)^2
a-b-a+c
=c-b
=2-1/2
=3/2
(a-b)^2+(a-c)^2+(b-c)^2
=4+1/4+9/4
=13/2
所以a的2次方+b的2次方+c的的2次方-ab-ac-bc
=13/2*1/2
=13/4
=(a-b)^2+(a-c)^2+(b-c)^2
a-b-a+c
=c-b
=2-1/2
=3/2
(a-b)^2+(a-c)^2+(b-c)^2
=4+1/4+9/4
=13/2
所以a的2次方+b的2次方+c的的2次方-ab-ac-bc
=13/2*1/2
=13/4
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