meili 发表于 2022-10-27 15:58:19

若PA=PB,角APB=2角ACB,AC与PB交于点D,且PB=4,PD=3,则AD*DC等于多少?

<p>问题:若PA=PB,角APB=2角ACB,AC与PB交于点D,且PB=4,PD=3,则AD*DC等于多少?
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">费定舟的回答:<div class="content-b">网友采纳  以P为圆心,以PA=PB为半径作圆,延长BD交圆于M,  则有:PA=PB=4,∠APB=2∠ACB,AC与PB交于点D,PD=3,  设∠ACB=θ,则∠APM=2θ,又∠ACB=θ,∴C在圆上.  ∴AD•DC=BD•DM=BD•(PM+PD)=1•(4+3)=7,  所以答案为7,
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