2、
AD=2AB,BM=MD
AB=(AM+MD)/2
AB²+AM²=BM²
[(AM+MD)/2]²+AM²=MD²
5AM²+2AM*MD-3MD²=0
(AM+MD)(5AM-3MD)=0
∵AM+MD>0
∴5AM-3MD=0
AM/MD=3/5
2、
AD=2AB,BM=MD
AB=(AM+MD)/2
AB²+AM²=BM²
[(AM+MD)/2]²+AM²=MD²
5AM²+2AM*MD-3MD²=0
(AM+MD)(5AM-3MD)=0
∵AM+MD>0
∴5AM-3MD=0
AM/MD=3/5