過點(diǎn)M(2,0)做斜率為1的直線,交拋物線y2=4x相交于A,B兩點(diǎn),求|AB|.
過點(diǎn)M(2,0)做斜率為1的直線,交拋物線y2=4x相交于A,B兩點(diǎn),求|AB|.
優(yōu)質(zhì)解答
設(shè)A(x
1,y
1),B(x
2,y
2),
直線方程為y=x-2,代入拋物線方程得x
2-5x+6=0
∴x
1=2,x
2=3
∴|AB|=
?|3-2|=
.
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