2009年莆田市初中毕业、升学考试试卷(WORD版 有答案)(13)

设P xx2 x 0 ，则PM

14

12

x，OM x 4

①当Rt△QPO∽Rt△CFD时，

PQCF1

·······························································································11分 ·

OPDF2

12x

PM1 OMx2解得x 2

···················································································································12分 P， ·1 21②当Rt△OPQ∽Rt△CFD时，

PQDF·······························································································13分 2 ·

OPCF12

x

PM 2 OMx解得x 8

P2 816，

，， 使得△OPQ与△CDF相似. ·综上，存在点P··································14分 、P2 8161 21