A(1,-2)代入得:4=2p,p=2,故抛物线方程为:y^2=4x
准线方程为:x=-p/2=-1
OA与X轴的夹角为a,则tana=2/1=2,sina=2√5/5
设L与X轴的交点为(X,0),则|X|*sina=√5/5,
X=1/2或-1/2
OA的斜率k=-2/1=-2
故L的方程为:y=-2(x-1/2)或y=-2(x+1/2)
当y=-2(x+1/2)时,[-2(x+1/2)]^2=4x,4x^2+4x+1=4x,4x^2+1=0无解
故L的方程为:y=-2(x-1/2)
A(1,-2)代入得:4=2p,p=2,故抛物线方程为:y^2=4x
准线方程为:x=-p/2=-1
OA与X轴的夹角为a,则tana=2/1=2,sina=2√5/5
设L与X轴的交点为(X,0),则|X|*sina=√5/5,
X=1/2或-1/2
OA的斜率k=-2/1=-2
故L的方程为:y=-2(x-1/2)或y=-2(x+1/2)
当y=-2(x+1/2)时,[-2(x+1/2)]^2=4x,4x^2+4x+1=4x,4x^2+1=0无解
故L的方程为:y=-2(x-1/2)