已知集合M满足M∩{1,5}={1},M∩{3,7}={3},M∩{2,4}={2},M⊆{1,2,3,5,7,9},求集合M

已知集合M满足M∩{1,5}={1},M∩{3,7}={3},M∩{2,4}={2},M⊆{1,2,3,5,7,9},求集合M
已知集合M满足M∩{1,5}={1},M∩{3,7}={3},M∩{2,4}={2},M⊆{1,2,3,5,7,9},求集合M

已知集合M满足M∩{1,5}={1},M∩{3,7}={3},M∩{2,4}={2},M⊆{1,2,3,5,7,9},求集合M
集合M满足M∩{1,5}={1},
则1∈M,5∉M
M∩{3,7}={3},
则3∈M,7∉M
M∩{2,4}={2},
则2∈M,4∉M
∴ 1,2,3∈M,4,5,7∉M
M⊆{1,2,3,5,7,9},
则M={1,2,3}或M={1,2,3,9}
估计你将9输成4了
如果那样,答案如下：
集合M满足M∩{1,5}={1},
则1∈M,5∉M
M∩{3,7}={3},
则3∈M,7∉M
M∩{2,9}={2},
则2∈M,9∉M
∴ 1,2,3∈M,9,5,7∉M
M⊆{1,2,3,5,7,9},
则M={1,2,3}