如图,已知点O是锐角三角形ABC的外心,过A、B、O三点的圆交于AC、BC于E、F,且EF=OC.求证:OC⊥EF; 证明:连结EO, FO,并分别延长交BC,AC于M,N,再连结OB∵点O是△ABC的外心 ∴∠A= ∠BOC∵∠BOM=∠A
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![如图,已知点O是锐角三角形ABC的外心,过A、B、O三点的圆交于AC、BC于E、F,且EF=OC.求证:OC⊥EF; 证明:连结EO, FO,并分别延长交BC,AC于M,N,再连结OB∵点O是△ABC的外心 ∴∠A= ∠BOC∵∠BOM=∠A](/uploads/image/z/5125931-35-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E7%82%B9O%E6%98%AF%E9%94%90%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E5%A4%96%E5%BF%83%2C%E8%BF%87A%E3%80%81B%E3%80%81O%E4%B8%89%E7%82%B9%E7%9A%84%E5%9C%86%E4%BA%A4%E4%BA%8EAC%E3%80%81BC%E4%BA%8EE%E3%80%81F%2C%E4%B8%94EF%3DOC%EF%BC%8E%E6%B1%82%E8%AF%81%EF%BC%9AOC%E2%8A%A5EF%EF%BC%9B++%E8%AF%81%E6%98%8E%EF%BC%9A%E8%BF%9E%E7%BB%93EO%2C+FO%2C%E5%B9%B6%E5%88%86%E5%88%AB%E5%BB%B6%E9%95%BF%E4%BA%A4BC%2CAC%E4%BA%8EM%2CN%2C%E5%86%8D%E8%BF%9E%E7%BB%93OB%E2%88%B5%E7%82%B9O%E6%98%AF%E2%96%B3ABC%E7%9A%84%E5%A4%96%E5%BF%83++++%E2%88%B4%E2%88%A0A%3D+%E2%88%A0BOC%E2%88%B5%E2%88%A0BOM%3D%E2%88%A0A)
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