以RT三角形ABC的直角边AB为直径作圆O,与斜边AC交于点D,E为BC上中点,连接DE(1)求证:DE是圆O切线(2)连接OE,AE,当∠CAB为何值时,四边形AOED是平行四边形.并在此条件下求sin∠CAE的值
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![以RT三角形ABC的直角边AB为直径作圆O,与斜边AC交于点D,E为BC上中点,连接DE(1)求证:DE是圆O切线(2)连接OE,AE,当∠CAB为何值时,四边形AOED是平行四边形.并在此条件下求sin∠CAE的值](/uploads/image/z/7012265-41-5.jpg?t=%E4%BB%A5RT%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E7%9B%B4%E8%A7%92%E8%BE%B9AB%E4%B8%BA%E7%9B%B4%E5%BE%84%E4%BD%9C%E5%9C%86O%2C%E4%B8%8E%E6%96%9C%E8%BE%B9AC%E4%BA%A4%E4%BA%8E%E7%82%B9D%2CE%E4%B8%BABC%E4%B8%8A%E4%B8%AD%E7%82%B9%2C%E8%BF%9E%E6%8E%A5DE%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ADE%E6%98%AF%E5%9C%86O%E5%88%87%E7%BA%BF%EF%BC%882%EF%BC%89%E8%BF%9E%E6%8E%A5OE%2CAE%2C%E5%BD%93%E2%88%A0CAB%E4%B8%BA%E4%BD%95%E5%80%BC%E6%97%B6%2C%E5%9B%9B%E8%BE%B9%E5%BD%A2AOED%E6%98%AF%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2.%E5%B9%B6%E5%9C%A8%E6%AD%A4%E6%9D%A1%E4%BB%B6%E4%B8%8B%E6%B1%82sin%E2%88%A0CAE%E7%9A%84%E5%80%BC)
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