(1)探究新知: 如图,已知△ABC与△ABD的面积相等, 试判断AB与CD的位置关系,并说明理由. (2)结论应用: ① 如图,点M,N在反比例函数 (k>0)的图象上,过点M作ME⊥y轴,过点N作NF⊥x轴,垂足分别为E,F. 试证明:MN∥EF. ② 若①中的其他条件不变,只改变点M,N 的位置如图所示,请判断 MN与EF是否平行.
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