若p为线段AB的黄金分割点,且AP>BP,则下列各式成立的是 A.AB^2=AP·PB B.BP^2=AP·AB C.AP^2=2AB·NP D.AP^2=AB·PB

问题描述:

若p为线段AB的黄金分割点,且AP>BP,则下列各式成立的是 A.AB^2=AP·PB B.BP^2=AP·AB C.AP^2=2AB·NP D.AP^2=AB·PB

D
PB/AP=AP/AB
AP*AP=PB*AB

D
PB/AP=AP/AB
所以选D

答案D
黄金分割即表明了
PB:AP=AP:AB
即为AP^2=AB·PB