如图AD为○O的直径,AT为○O的切线,BC∥AD,DB交AT于E点,过E点作要EF⊥CD交DC于F点(1)求证:角AEB=角ADC(2)探究 BD、BE、EF三者之间的数量关系,并证明(3延长CB交AE于M点,若MA=3,MB=1,求EF的长
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![如图AD为○O的直径,AT为○O的切线,BC∥AD,DB交AT于E点,过E点作要EF⊥CD交DC于F点(1)求证:角AEB=角ADC(2)探究 BD、BE、EF三者之间的数量关系,并证明(3延长CB交AE于M点,若MA=3,MB=1,求EF的长](/uploads/image/z/4976190-54-0.jpg?t=%E5%A6%82%E5%9B%BEAD%E4%B8%BA%E2%97%8BO%E7%9A%84%E7%9B%B4%E5%BE%84%2CAT%E4%B8%BA%E2%97%8BO%E7%9A%84%E5%88%87%E7%BA%BF%2CBC%E2%88%A5AD%2CDB%E4%BA%A4AT%E4%BA%8EE%E7%82%B9%2C%E8%BF%87E%E7%82%B9%E4%BD%9C%E8%A6%81EF%E2%8A%A5CD%E4%BA%A4DC%E4%BA%8EF%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E8%A7%92AEB%3D%E8%A7%92ADC%EF%BC%882%EF%BC%89%E6%8E%A2%E7%A9%B6+BD%E3%80%81BE%E3%80%81EF%E4%B8%89%E8%80%85%E4%B9%8B%E9%97%B4%E7%9A%84%E6%95%B0%E9%87%8F%E5%85%B3%E7%B3%BB%2C%E5%B9%B6%E8%AF%81%E6%98%8E%EF%BC%883%E5%BB%B6%E9%95%BFCB%E4%BA%A4AE%E4%BA%8EM%E7%82%B9%2C%E8%8B%A5MA%3D3%2CMB%3D1%2C%E6%B1%82EF%E7%9A%84%E9%95%BF)
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