题目内容
(9分)如图,
的三个顶点分别为A(0,4),B(-2,6),C(-8,0)
(1) 求边AC上的中线BD所在的直线方程;
(2) 求与AB平行的中位线DE的直线方程.


(1) 求边AC上的中线BD所在的直线方程;
(2) 求与AB平行的中位线DE的直线方程.

解:(1)由中点坐标公式,设点
,得
,
由直线的两点式方程得BD所在的直线方程为
,即
(2)由题意知
,
得AB的中位线所在的直线方程为



由直线的两点式方程得BD所在的直线方程为


(2)由题意知

得AB的中位线所在的直线方程为

略

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