问题 填空题
已知x-
1
x
=1,则
x2
x4+2007x2+1
=______.
答案

∵x-

1
x
=1,

∴x2+

1
x2
-2=1,

∴x2+

1
x2
=1+2=3,

x2
x4+2007x2+1
=
1
x2+2007+
1
x2
=
1
2007+3
=
1
2010

故应填:

1
2010

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