已知如图,△ABC内接⊙O,AB为直径,线CE⊥AB于F,C是AD的中点,连接BD并延长EC的延长线于点G,连接AD,分别交CE、BC于点P、Q.1.求证:P是△ACQ的外心;2.若tan∠ABC=3/4,CF=8,求CQ的长;3.求证:(FP+PQ)²=F
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![已知如图,△ABC内接⊙O,AB为直径,线CE⊥AB于F,C是AD的中点,连接BD并延长EC的延长线于点G,连接AD,分别交CE、BC于点P、Q.1.求证:P是△ACQ的外心;2.若tan∠ABC=3/4,CF=8,求CQ的长;3.求证:(FP+PQ)²=F](/uploads/image/z/1766824-16-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%A6%82%E5%9B%BE%2C%E2%96%B3ABC%E5%86%85%E6%8E%A5%E2%8A%99O%2CAB%E4%B8%BA%E7%9B%B4%E5%BE%84%2C%E7%BA%BFCE%E2%8A%A5AB%E4%BA%8EF%2CC%E6%98%AFAD%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E8%BF%9E%E6%8E%A5BD%E5%B9%B6%E5%BB%B6%E9%95%BFEC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8E%E7%82%B9G%2C%E8%BF%9E%E6%8E%A5AD%2C%E5%88%86%E5%88%AB%E4%BA%A4CE%E3%80%81BC%E4%BA%8E%E7%82%B9P%E3%80%81Q.1.%E6%B1%82%E8%AF%81%EF%BC%9AP%E6%98%AF%E2%96%B3ACQ%E7%9A%84%E5%A4%96%E5%BF%83%EF%BC%9B2.%E8%8B%A5tan%E2%88%A0ABC%3D3%2F4%2CCF%3D8%2C%E6%B1%82CQ%E7%9A%84%E9%95%BF%EF%BC%9B3.%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%88FP%2BPQ%EF%BC%89%26%23178%3B%3DF)
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