如图,BD是圆O的直径,OA⊥OB,M是劣弧AB上一点,过点M作圆O的切线MP交OA的延长线于P点,MD与OA交于点N.(1)求证:PM=PN.(2)若BD=4,PA=3/2AO,过点B作BC‖MP交圆O于点C,求BC的长.
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![如图,BD是圆O的直径,OA⊥OB,M是劣弧AB上一点,过点M作圆O的切线MP交OA的延长线于P点,MD与OA交于点N.(1)求证:PM=PN.(2)若BD=4,PA=3/2AO,过点B作BC‖MP交圆O于点C,求BC的长.](/uploads/image/z/8241200-8-0.jpg?t=%E5%A6%82%E5%9B%BE%2CBD%E6%98%AF%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84%2COA%E2%8A%A5OB%2CM%E6%98%AF%E5%8A%A3%E5%BC%A7AB%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%BF%87%E7%82%B9M%E4%BD%9C%E5%9C%86O%E7%9A%84%E5%88%87%E7%BA%BFMP%E4%BA%A4OA%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8EP%E7%82%B9%2CMD%E4%B8%8EOA%E4%BA%A4%E4%BA%8E%E7%82%B9N.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9APM%3DPN.%EF%BC%882%EF%BC%89%E8%8B%A5BD%3D4%2CPA%3D3%2F2AO%2C%E8%BF%87%E7%82%B9B%E4%BD%9CBC%E2%80%96MP%E4%BA%A4%E5%9C%86O%E4%BA%8E%E7%82%B9C%2C%E6%B1%82BC%E7%9A%84%E9%95%BF.)
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