已知动点P在椭圆
|
∵
•PM
=0,∴AM
⊥PM
=0,AM
∴|
|2=|PM
|2-|AP
|2AM
∵|
|=1,∴|AM
|2=1,AM
∴|
|2=|PM
|2-|AP
|2=|AM
|2-1,AP
∵|
|=1,AM
∴点M的轨迹为以为以点A为圆心,1为半径的圆,
∵|
|2=|PM
|2-1,|AP
|越小,|AP
|越小,PM
结合图形知,当P点为椭圆的右顶点时,
|
|取最小值a-c=5-3=2,AP
∴|
|最小值是PM
=4-1
.3
故选:B.