1^2/(1^2-100+5000)+2^2/(2^2-200+5000)+,+k^2/(k^2-100k+5000)+,+99^2/(99^2-9900+5000)=?

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1^2/(1^2-100+5000)+2^2/(2^2-200+5000)+,+k^2/(k^2-100k+5000)+,+99^2/(99^2-9900+5000)=?

1^2/(1^2-100+5000)+2^2/(2^2-200+5000)+,+k^2/(k^2-100k+5000)+,+99^2/(99^2-9900+5000)=?
1^2/(1^2-100+5000)+2^2/(2^2-200+5000)+,+k^2/(k^2-100k+5000)+,+99^2/(99^2-9900+5000)=?

1^2/(1^2-100+5000)+2^2/(2^2-200+5000)+,+k^2/(k^2-100k+5000)+,+99^2/(99^2-9900+5000)=?
每一项 n^2/(n^2-100n+5000)
对应项 (100-n)^2/[(100-n)^2-(100-n)+5000]
=(100-n)^2/(n^2-100n+5000)
相加得=(2xn^2-200n+10000)/(n^2-100n+5000)=2
共99项故
原式=99