如图,已知△ABC内接于圆O,AE切圆O于点A,BC∥AE.(1)求证:△ABC是等腰三角形;(2)设AB=10cm,BC=8cm,点P是射线AE上的点,若A、P、C为顶点的三角形与△ABC相似,问这样的点有几个?并求AP的长
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![如图,已知△ABC内接于圆O,AE切圆O于点A,BC∥AE.(1)求证:△ABC是等腰三角形;(2)设AB=10cm,BC=8cm,点P是射线AE上的点,若A、P、C为顶点的三角形与△ABC相似,问这样的点有几个?并求AP的长](/uploads/image/z/970457-41-7.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E2%96%B3ABC%E5%86%85%E6%8E%A5%E4%BA%8E%E5%9C%86O%2CAE%E5%88%87%E5%9C%86O%E4%BA%8E%E7%82%B9A%2CBC%E2%88%A5AE.%281%29%E6%B1%82%E8%AF%81%3A%E2%96%B3ABC%E6%98%AF%E7%AD%89%E8%85%B0%E4%B8%89%E8%A7%92%E5%BD%A2%3B%282%29%E8%AE%BEAB%3D10cm%2CBC%3D8cm%2C%E7%82%B9P%E6%98%AF%E5%B0%84%E7%BA%BFAE%E4%B8%8A%E7%9A%84%E7%82%B9%2C%E8%8B%A5A%E3%80%81P%E3%80%81C%E4%B8%BA%E9%A1%B6%E7%82%B9%E7%9A%84%E4%B8%89%E8%A7%92%E5%BD%A2%E4%B8%8E%E2%96%B3ABC%E7%9B%B8%E4%BC%BC%2C%E9%97%AE%E8%BF%99%E6%A0%B7%E7%9A%84%E7%82%B9%E6%9C%89%E5%87%A0%E4%B8%AA%3F%E5%B9%B6%E6%B1%82AP%E7%9A%84%E9%95%BF)
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