已知直線y=kx(k>0)與雙曲線y=3x交于點A(x1,y1),B(x2,y2)兩點,則x1y2+x2y1的值為( ?。?A.-6 B.-9 C.0 D.9
已知直線y=kx(k>0)與雙曲線y=
交于點A(x
1,y
1),B(x
2,y
2)兩點,則x
1y
2+x
2y
1的值為( ?。?br/>A. -6
B. -9
C. 0
D. 9
數(shù)學人氣:370 ℃時間:2020-02-05 09:50:46
優(yōu)質(zhì)解答
∵點A(x
1,y
1),B(x
2,y
2)是雙曲線y=
上的點
∴x
1?y
1=x
2?y
2=3①,
∵直線y=kx(k>0)與雙曲線y=
交于點A(x
1,y
1),B(x
2,y
2)兩點,
∴x
1=-x
2,y
1=-y
2②,
∴原式=-x
1y
1-x
2y
2=-3-3=-6.
故選A.
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