问题
解答题
已知
(1)若
(2)在(1)的前提下,若
|
答案
(1)
=AD
+AB
+BC
=(x+4,y-2),CD
又由
∥BC
,则x(2-y)-y(-x-4)=0,DA
化简可得x+2y=0;
(2)
=(x+6,y+1),AC
=(x-2,y-3),BD
若
⊥AC
,BD
•AC
=0,(x+6)(x-2)+(y+1)(y-3)=0,①BD
又由x+2y=0,②
联立①②可得,y2-2y-3=0,
解可得y=3或y=-1,则x=-6或2,
即
=(-6,3)或(2,-1);BC
则|
|=3BC
或5
.5