Question

在Rt△ABC和Rt△A'B'C'中,∠ACB=∠A'C'B'=90°,DC⊥AB,D'C'⊥A'B',AC/A'C'=

Answer 1

在Rt△ACD和△A'D'C'中

∵AC/A'C'=CD/C'D',∠ACB=∠A'C'B'=90°

∴Rt△ACD∽△A'D'C'

∴∠A=∠A'

∵∠ACB=∠A'C'B

∴Rt△ABC∽Rt△A'B'C