已知圆C:(x-3)^2+(y-4)^2=4及两点A（-1,0）,B（1,0）,P（x,y)为圆C上任一点,

P点的坐标可表示为
x=3+2cosa
y=4+2sina
|AP|^2+|BP|^2
=[(4+2cosa)²+(4+2sina)²]+[(2+2cosa)²+(4+2sina)²]
=[16+16cosa+4cos²a+16+16sina+4sin²a]+[4+8cosa+4cos²a+16+16sina+4sin²a]
=(32+4+16cosa+16sina)+(20+4+8cosa+16sina)
=60+24cosa+32sina
=60+8(3cosa+4sina)
=60+8[5sin(a+b)]---其中tanb=3/4
>=60+8×(-5)=20
|AP|^2+|BP|^2的最小值是20