已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?

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已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?已知实数a、b满足ab=1,那么1/(a*a+1)+

已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?
已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?

已知实数a、b满足ab=1,那么1/(a*a+1)+1/(b*b+1)=?
1/(a*a+1)+1/(b*b+1)=(a*a+1+b*b+1)/(a*a+1)*(b*b+1)
=(a*a+b*b+2)/(a*a*b*b+a*a+b*b+1)=(a*a+b*b+2)/(ab*ab+a*a+b*b+1)
=(a*a+b*b+2)/(1+a*a+b*b+1)=1

等于1