英语周报2021-2022高一53答案

17解:(1)设抛物线的方程为y2=2px(p>0),圆(x-2)2+y2=4的圆心坐标为(2,0),即抛物线的焦点为F(2,0),(3分)∴p=4,…∴抛物线的方程为y2=8x5分(2)由题意知直线AB的方程y=2(x-2),(6分)即y=2x-4,代人y2=8x,得x2-6x+4=0,△>0,设A(x1,y),B(x2,y2),则x1+x2=6,则|AB|=x1+x2+p=6+4=10(10分)

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