解;定点A(-3,0),切点为N,动圆圆心P,定圆圆心B(3,0)依题意有:/PA/+/PB/=/PN/+/PB/=8(定值)所以所求的轨迹为以MA,B为焦点,a=4,b=√(c^2-a^2)=√(16-9)=√7所以轨迹方程为(x^2)/16+(y^2)/7=1