如图①,AB是圆O的直径,AC是弦,直线CD切圆O于点C,AD⊥CD,垂足为D 求证:AC²=AB.AD②若将直线CD向上平移,交圆O于C1、C2两点,其他条件不变,可得到图二所示的图形,试探索AC1、AC2、AB、AD之间的关系
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![如图①,AB是圆O的直径,AC是弦,直线CD切圆O于点C,AD⊥CD,垂足为D 求证:AC²=AB.AD②若将直线CD向上平移,交圆O于C1、C2两点,其他条件不变,可得到图二所示的图形,试探索AC1、AC2、AB、AD之间的关系](/uploads/image/z/2119180-4-0.jpg?t=%E5%A6%82%E5%9B%BE%E2%91%A0%2CAB%E6%98%AF%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84%2CAC%E6%98%AF%E5%BC%A6%2C%E7%9B%B4%E7%BA%BFCD%E5%88%87%E5%9C%86O%E4%BA%8E%E7%82%B9C%2CAD%E2%8A%A5CD%2C%E5%9E%82%E8%B6%B3%E4%B8%BAD+%E6%B1%82%E8%AF%81%EF%BC%9AAC%26%23178%3B%3DAB.AD%E2%91%A1%E8%8B%A5%E5%B0%86%E7%9B%B4%E7%BA%BFCD%E5%90%91%E4%B8%8A%E5%B9%B3%E7%A7%BB%2C%E4%BA%A4%E5%9C%86O%E4%BA%8EC1%E3%80%81C2%E4%B8%A4%E7%82%B9%2C%E5%85%B6%E4%BB%96%E6%9D%A1%E4%BB%B6%E4%B8%8D%E5%8F%98%2C%E5%8F%AF%E5%BE%97%E5%88%B0%E5%9B%BE%E4%BA%8C%E6%89%80%E7%A4%BA%E7%9A%84%E5%9B%BE%E5%BD%A2%2C%E8%AF%95%E6%8E%A2%E7%B4%A2AC1%E3%80%81AC2%E3%80%81AB%E3%80%81AD%E4%B9%8B%E9%97%B4%E7%9A%84%E5%85%B3%E7%B3%BB)
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