点P与点Q在线段AB上,且AP;PB=2;3,AQ;QB=3;4,PQ=3.求AB的长?

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点P与点Q在线段AB上,且AP;PB=2;3,AQ;QB=3;4,PQ=3.求AB的长?

点P与点Q在线段AB上,且AP;PB=2;3,AQ;QB=3;4,PQ=3.求AB的长?
点P与点Q在线段AB上,且AP;PB=2;3,AQ;QB=3;4,PQ=3.求AB的长?

点P与点Q在线段AB上,且AP;PB=2;3,AQ;QB=3;4,PQ=3.求AB的长?
∴设AP=2k PB=3k 同理设AQ=3m QB=4m ∵QB=PB-PQ 即4m=3k-3 又∵得k=12 AB=AP+PB ∴AB=2k+3k AB=60 3/(3/7-2/5)=105 .