已知集合A={α|α=nπ/2,n∈Z}∪{α|α=2nπ±2π/3,n∈Z},集合B={β|β=2nπ/3,n∈Z}∪{β|β=nπ+(π/2),n∈Z},试确定集合A与B的关系.http://hi.baidu.com/%C9%CB%B2%BB%C6%F0%B5%C4%C8%FD%BD%C7/album/item/58e5399b68736d617af48007.h

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已知集合A={α|α=nπ/2,n∈Z}∪{α|α=2nπ±2π/3,n∈Z},集合B={β|β=2nπ/3,n∈Z}∪{β|β=nπ+(π/2),n∈Z},试确定集合A与B的关系.http://hi.baidu.com/%C9%CB%B2%BB%C6%F0%B5%C4%C8%FD%BD%C7/album/item/58e5399b68736d617af48007.h
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已知集合A={α|α=nπ/2,n∈Z}∪{α|α=2nπ±2π/3,n∈Z},集合B={β|β=2nπ/3,n∈Z}∪{β|β=nπ+(π/2),n∈Z},试确定集合A与B的关系.http://hi.baidu.com/%C9%CB%B2%BB%C6%F0%B5%C4%C8%FD%BD%C7/album/item/58e5399b68736d617af48007.h
已知集合A={α|α=nπ/2,n∈Z}∪{α|α=2nπ±2π/3,n∈Z},集合B={β|β=2nπ/3,n∈Z}∪{β|β=nπ+(π/2),n∈Z},试确定集合A与B的关系.
http://hi.baidu.com/%C9%CB%B2%BB%C6%F0%B5%C4%C8%FD%BD%C7/album/item/58e5399b68736d617af48007.html#

已知集合A={α|α=nπ/2,n∈Z}∪{α|α=2nπ±2π/3,n∈Z},集合B={β|β=2nπ/3,n∈Z}∪{β|β=nπ+(π/2),n∈Z},试确定集合A与B的关系.http://hi.baidu.com/%C9%CB%B2%BB%C6%F0%B5%C4%C8%FD%BD%C7/album/item/58e5399b68736d617af48007.h
α=nπ/2,n∈Z
(1) n=2k时 α=kπ
(2) n=2k+1时 α=kπ+π/2与β=nπ+(π/2)等价
β=2nπ/3,n∈Z
(1) n=3k'时,β=2kπ∈α=kπ [1]
(2) n=3k+1'时,β=2kπ+2π/3与α=2nπ+2π/3等价
(3) n=3k+2'时,β=2kπ+4π/3与α=2nπ-2π/3等价
综上:仅有[1]不等价,B包含于A

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