因为Rt△ABC中,∠ACB=90°,CD⊥AB于D,DE⊥AC于E,
所以△AED与△ACB相似,△ADC与△ACB相似.
所以AE:AC=AD:AB,AD:AC=AC:AB
两式相乘,得:AE:(AC^)2=AC:(AB^2)
整理得::(AB^2)/(AC^2)=AC/AE.
因为Rt△ABC中,∠ACB=90°,CD⊥AB于D,DE⊥AC于E,
所以△AED与△ACB相似,△ADC与△ACB相似.
所以AE:AC=AD:AB,AD:AC=AC:AB
两式相乘,得:AE:(AC^)2=AC:(AB^2)
整理得::(AB^2)/(AC^2)=AC/AE.