已知圆的方程x
2+y
2=4,若抛物线过定点A(0,1),B(0,-1)且以圆的切线为准线,则抛物线焦点的轨迹方程是( )
A.
+
=1(y≠0)
B.
+
=1(y≠0)
C.
+
=1(x≠0)
D.
+
=1(x≠0)
设切点为(a,b),∴a2+b2=4,则切线为:ax+by-4=0设焦点(x,y),由抛物线定义可得:x2+(y-1)2=|b−4|24…①,x2+(y+1)2 =|b+4|24…②,消去b得,x23+y24=1∵焦点不能与A,B共线,∴x≠0∴抛物线的焦点轨迹方...