已知x2+y2=1,x>0,y>0,且loga(1+x)=m,loga11?x=n,则logay等于(  )A.m+nB.m-nC.12(m+n)D

日期:2014-12-15 16:44:27 人气:1

已知x2+y2=1,x>0,y>0,且loga(1+x)=m,loga11?x=n,则logay等于(  )A.m+nB.m-nC.12(m+n)D

∵x2+y2=1,x>0.y>0,∴1+x=am,11?x=an,1-x=a-n,∴1-x2=am-n,∴y2=am-n,∴logay=12(m?n).故选D.
    A+
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