已知过抛物线C:y2=2px(p>0)的焦点F,倾斜角为 π/3的直线l与抛物线C相交于A,B两点,且AB的绝对值为三分
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F(0.5p,0)

AB:y=√3*(x-0.5p)

x=(y+0.5√3p)/√3

y^2=2px=2p*(y+0.5√3p)/√3

√3y^2-2py-√3p^2=0

|yA-yB|=4p/√3

(xA-xB)^2+(yA-yB)^2=AB^2

(1+1/3)*4p/√3=(16/3)^2

p=16√3

AB:y=√3*(x-8/√3)

x=-2,y=-8-2√3

D(-2,-8-2 √3)

A( )

AD是一直线