已知线段MN,在线段MN的延长线上取点P,使MP=2NP,再在线段MN的反向延长线上取点Q,使MQ=2MN,求MP/PQ的值.
问题描述:
已知线段MN,在线段MN的延长线上取点P,使MP=2NP,再在线段MN的反向延长线上取点Q,使MQ=2MN,求MP/PQ的值.
答
不妨设 MN = 1 ,则:
NP = MP-NP = MN = 1 ,
MP = MN+NP = 2 ,
MQ = 2MN = 2 ,
PQ = MQ+MP = 4 ,
所以,MP/PQ = 1/2 .