如图，四棱柱ABCD-A
1B
1C
1D
1的底面ABCD为正方形，侧棱与底面边长均为2a，且∠A
1AD=∠A
1AB=60°，则侧棱AA
1和截面B
1D
1DB的距离是______．
由题意知平面B1D1DB垂直于A1ACC1连A1D，A1B，A1C1，AC设A1C1交B1D1于O1点AC交BD于O点∵ABCD为正方形∴BD=A1C1=22a∴A1O1=2a又∠A1AD=∠A1AB=60，∴A1D=A1B=2aA1D2+A1B2=B1D12则△A1BD为等腰直角三角形则A1O=2a=A1O1...
