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#63271f3c-8047-4462-bda6-6098287ff47f中等填空题外接球与内切球立体几何

20.四棱柱ABCDA1B1C1D1ABCD-A_{1}B_{1}C_{1}D_{1}中,侧棱BB1BB_{1}\bot底面ABCDABCDAB=BB1=1AB=BB_{1}=1,底面ABCDABCD中满足AB//CDAB//CDBCCDBC\bot CDBC=CD=2BC=CD=2EEDD1DD_{1}上的动点,OO为四棱锥A1CC1D1DA_{1}-CC_{1}D_{1}D外接球的球心,则直线CECEOBOB所成角的正弦值的最小值为((  ))