问题
填空题
若a+x2=2007,b+x2=2008,c+x2=2009,且abc=24,则
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答案
∵a+x2=2007,b+x2=2008,c+x2=2009,
∴b-a=1,c-b=1,c-a=2,
∴
+a bc
+b ac
-c ab
-1 a
-1 b
=1 c
-a bc
+1 b
-b ac
+1 c
-c ab 1 a
=
+a-c bc
+b-a ac c-b ab
=
+-2 bc
+1 ac 1 ab
=-2a+b+c abc
=(b-a)+(c-a) abc
=1+2 24
=
.1 8