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](/uploads/image/z/14294688-24-8.jpg?t=%E5%B7%B2%E7%9F%A5%E9%9B%86%E5%90%88A%3D%7B%CE%B1%7C%CE%B1%3Dn%CF%80%2F2%2Cn%E2%88%88Z%7D%E2%88%AA%7B%CE%B1%7C%CE%B1%3D2n%CF%80%C2%B12%CF%80%2F3%2Cn%E2%88%88Z%7D%2C%E9%9B%86%E5%90%88B%3D%EF%BD%9B%CE%B2%7C%CE%B2%3D2n%CF%80%2F3%2Cn%E2%88%88Z%7D%E2%88%AA%7B%CE%B2%7C%CE%B2%3Dn%CF%80%2B%EF%BC%88%CF%80%2F2%EF%BC%89%2Cn%E2%88%88Z%EF%BD%9D%2C%E8%AF%95%E7%A1%AE%E5%AE%9A%E9%9B%86%E5%90%88A%E4%B8%8EB%E7%9A%84%E5%85%B3%E7%B3%BB.http%3A%2F%2Fhi.baidu.com%2F%25C9%25CB%25B2%25BB%25C6%25F0%25B5%25C4%25C8%25FD%25BD%25C7%2Falbum%2Fitem%2F58e5399b68736d617af48007.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.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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