问题
填空题
设直线y=k(x+3)与抛物线y=ax2交于A(x1,y1)和B(x2,y2)两点,则
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答案
把直线y=k(x+3)代入抛物线y=ax2,
得k(x+3)=ax2,
整理,得ax2-kx-3k=0,
∵直线y=k(x+3)与抛物线y=ax2交于A(x1,y1)和B(x2,y2)两点,
∴x1+x2=
,x1x2=-k a
,3k a
∴
+1 x1
=1 x2
=x2+x1 x1x2
=-k a - 3k a
.1 3
故答案为:-
.1 3