奥数题——分式设a、b、c满足1/a+1/b+1/c=1/(a+b+c),求证:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n.

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奥数题——分式设a、b、c满足1/a+1/b+1/c=1/(a+b+c),求证:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n.
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奥数题——分式设a、b、c满足1/a+1/b+1/c=1/(a+b+c),求证:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n.
奥数题——分式
设a、b、c满足1/a+1/b+1/c=1/(a+b+c),求证:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n.

奥数题——分式设a、b、c满足1/a+1/b+1/c=1/(a+b+c),求证:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n.
先通分,看看能否解出a=-b,或者a=-c,或者b=-c
如果有这样的关系,就能推导出:当n为奇数时,1/(a^n+b^n+c^n)=1/a^n+1/b^n+1c^n
有空时再帮你算

你先确定一下后面那个式子的最后一项是不是打错了

http://zhidao.baidu.com/link?url=ox2sk2ObzemU15AI8w4Zm4lRXUBC8ucxJYZHS4s7CERGpnk68d7JUGI49MMOcSnWD5KW_h690dWPULMXOZTTVa
自己看