2021-2022 英语周报 高二 1答案

15.y=±2x【解析】如图,连接AF2,设|AF1|=2m,则BFt|=3m因为AF3|-1AF1|=2a,所以|AF2|=2m+2a同理,BF1|=2a+3m,所以AB1=|BF11iAF1|=aa+8m-2m=2a+m,因为1·B上=0,所以BF1⊥BF2在Rt△ABF2中,|AF2|2=|AB12+参考及解析1BF:12,即(2m+2a)2=(2a+m)2+9m3,解m3a,所以1BF:1=2a,1BF11=4a在R△BF、F中,1F1F1=2a,则2c=25a,所以c=5a,所以b=2a,所以双曲线C的渐近线方程为y=±2x

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