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The Marathon

The marathon is the longest race at the Olympics. You have to be a very strong runner to win the marathon.

The marathon is 42.195 km long. Why is it 42.195 km and not 43? The 1908 Olympics was in London. The King of England wanted his children to watch the marathon so the race started at the gate of his palace. From there to the finish line was 42.195 km.

One of the best marathon runners was Abebe Bikila. He was from Ethiopia. He won the gold medal in the marathon at the 1960 Olympics. He ran the whole race without shoes on!

①将△ABC以点C为旋转中心旋转180°，画出旋转后对应的△A₁B₁C；

②平移△ABC，若点A的对应点A₂的坐标为（0，﹣4），画出平移后对应的△A₂B₂C₂ ；

③若将△A₁B₁C绕某一点旋转可以得到△A₂B₂C₂,求旋转中心的坐标。