题目

There was a man playing the piano in a bar. He was a good piano player and always performed in this bar. People came in just to hear him play. But one night, a customer told him that he didn’t want to hear him just play the piano any more. He wanted him to sing a song.The man said, “I don’t sing.”But the customer was persistent(执着的). He told the bar manager, “I’m tired of listening to the piano. I want that man to sing!” The manager shouted across the room, “If you want to get paid, sing a song. Our customers are asking you to sing!”So he did He sang a song. A piano已知直三棱柱ABC-A1B1C1,底面△ABC是等腰三角形,∠BAC=120°,,CN=3AN,点M,P,Q分别是AA1,A1B1,BC的中点.(Ⅰ)求证:直线PQ∥平面BMN;(Ⅱ)求直线AB与平面BMC所成角的正弦值.
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