如图①,将一张矩形纸片对折,然后沿虚线剪切,得到两个(不等边)三角形纸片△ABC,△A1B1C1.
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(1)将△ABC,△A1B1C1如图②摆放,使点A1与B重合,点B1在AC边的延长线上,连接CC1交BB1于点E.
①求证:四边形C1B1AB为梯形.
②若∠A="45°," ∠ABC="30°," 求∠B1C1C的度数
(2)若将△ABC,△A1B1C1如图③摆放,使点B1与B重合,点A1在AC边的延长线上,连接CC1交A1B于点F.试判断∠A1C1C与∠A1BC是否相等,并说明理由.
(3)在(2)的条件下,若AC=3,B1C1=6,设A1B=x,C1F=y,写出y与x的函数关系式(不要求写出自变量的取值范围)
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