直線為y=x-p/2,聯(lián)立y=x-p/2,y^2=2Px解得xA=3p/2+√2p,xB=3p/2-√2p
|AF|/|BF|=(xA+p/2)/(xB+p/2)=(2p+√2p)/(2p-√2p)=3+2√2
過拋物線y^2=2Px(p>0)的焦點(diǎn)F作傾斜角為π/4的直線,交拋物線于A,B兩點(diǎn),點(diǎn)A在x軸的上方,求|AF|/|BF|的值
過拋物線y^2=2Px(p>0)的焦點(diǎn)F作傾斜角為π/4的直線,交拋物線于A,B兩點(diǎn),點(diǎn)A在x軸的上方,求|AF|/|BF|的值
數(shù)學(xué)人氣:826 ℃時(shí)間:2020-01-09 06:26:58
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