(1)设甲乙之间路程为s,则小颖时间为t1=s/2e1+s/2e2,小华为t2=2s/(2e1+2e2)/2=4s/2e2+2e1
(2)t1=(2e1+2e2)s/2e1e2
t2=4s/2(e1+e2)
t1-t2,通分可得:4s(e1^2+e2^2)/4e1e2(e1+e2),显然大于零,所以小华用时短.
(1)设甲乙之间路程为s,则小颖时间为t1=s/2e1+s/2e2,小华为t2=2s/(2e1+2e2)/2=4s/2e2+2e1
(2)t1=(2e1+2e2)s/2e1e2
t2=4s/2(e1+e2)
t1-t2,通分可得:4s(e1^2+e2^2)/4e1e2(e1+e2),显然大于零,所以小华用时短.