(本题满分10分)如图,在梯形中,
两点在边
上,且四边形
是平行四边形.
(1)与
有何等量关系?请说明理由;
(2)当时,求证:
是矩形.
(本题满分10分)如图,在梯形中,
两点在边
上,且四边形
是平行四边形.
(1)与
有何等量关系?请说明理由;
(2)当时,求证:
是矩形.
(1)解:.························································································ (1分)
理由如下:
,
四边形
和四边形
都是平行四边形.
.
又四边形
是平行四边形,
.
.
.···································································································· (5分)
(2)证明:四边形
和四边形
都是平行四边形,
.
.
又四边形
是平行四边形,
四边形
是矩形
解析:略