抛物线C1:x^2=2py(p>0)①的焦点为F(0,p/2),
双曲线C2:x^2/3-y^2=1的右焦点为G(2,0),
FG:y=-px/4+p/2,
代入①,x^2+(p^2/2)x-p^2=0,
xM=[-p^2+p√(16+p^2)]/4,
由①,y'=x/p,
C1在点M处的切线平行于C2的一条渐近线,
[-p+√(16+p^2...
抛物线C1:x^2=2py(p>0)①的焦点为F(0,p/2),
双曲线C2:x^2/3-y^2=1的右焦点为G(2,0),
FG:y=-px/4+p/2,
代入①,x^2+(p^2/2)x-p^2=0,
xM=[-p^2+p√(16+p^2)]/4,
由①,y'=x/p,
C1在点M处的切线平行于C2的一条渐近线,
[-p+√(16+p^2...