这道题怎么做求大佬回答一下过程谢谢QwQ
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解:k=(y1-y2)/(x1-x2)
=(lnx1-lnx2)/(x1-x2)
=(x1+x2)* (lnx1-lnx2)/(x1-x2)
= (1+x2/x1)* (ln(x1/x2))/(1-x2/x1),
令 x2/x1=n,
(1+x2/x1)/(1-x2/x1)=r,r<0,
那么 x1/x2
=(r+1)/(r-1)
=1-2/(r-1),
那么 ,k(x1+x2)
=ln((1-2/(r-1))^r
=(lnx1-lnx2)/(x1-x2)
=(x1+x2)* (lnx1-lnx2)/(x1-x2)
= (1+x2/x1)* (ln(x1/x2))/(1-x2/x1),
令 x2/x1=n,
(1+x2/x1)/(1-x2/x1)=r,r<0,
那么 x1/x2
=(r+1)/(r-1)
=1-2/(r-1),
那么 ,k(x1+x2)
=ln((1-2/(r-1))^r
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