已知O是正方形ABCD的对角线AC上的一点,以O为圆心,OA的长为半径的园O与BC相切于点M,于AB,AD分别相交于点EF.(1)求证:CD于园O相切.(2)若正方形ABCD的边长为1,求园O的半径.
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![已知O是正方形ABCD的对角线AC上的一点,以O为圆心,OA的长为半径的园O与BC相切于点M,于AB,AD分别相交于点EF.(1)求证:CD于园O相切.(2)若正方形ABCD的边长为1,求园O的半径.](/uploads/image/z/5623806-30-6.jpg?t=%E5%B7%B2%E7%9F%A5O%E6%98%AF%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E7%9A%84%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E4%B8%8A%E7%9A%84%E4%B8%80%E7%82%B9%2C%E4%BB%A5O%E4%B8%BA%E5%9C%86%E5%BF%83%2COA%E7%9A%84%E9%95%BF%E4%B8%BA%E5%8D%8A%E5%BE%84%E7%9A%84%E5%9B%ADO%E4%B8%8EBC%E7%9B%B8%E5%88%87%E4%BA%8E%E7%82%B9M%2C%E4%BA%8EAB%2CAD%E5%88%86%E5%88%AB%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9EF.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ACD%E4%BA%8E%E5%9B%ADO%E7%9B%B8%E5%88%87.%EF%BC%882%EF%BC%89%E8%8B%A5%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E7%9A%84%E8%BE%B9%E9%95%BF%E4%B8%BA1%2C%E6%B1%82%E5%9B%ADO%E7%9A%84%E5%8D%8A%E5%BE%84.)
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