The new structure method called two-step matching method were given and proved,which could obtain odd n order symmetrical magic square.The new structure method called two-step matching residual function method were given and proved,which could obtain symmetrical magic square with separated odd and even numbers.These methods may obtain 2m（m!） 2m-1（（m-1） !） differentnorder symmetrical magic squares;whenn=2m＋1（m=2k,k=1,2,…）may obtain 2m（k!）2 2m-1（k!）（（k-1） !） different n order symmetrical magic square with separated odd and even numbers;when n=2m＋1（m=2k＋1,k=0,1,2,…）may obtain 2m（（k＋1） !）（k!） 2m-1（k!）2 different n order symmetrical magic square with separated odd and even numbers.%用匹配两步法构造出奇数n=2m＋1（m为自然数）阶对称幻方,用匹配余函数两步法构造出奇数n阶奇偶分开对称幻方,具有普遍性,并给出了证明.这些方法可分别得到2m（m!）2m-1（（m-1）!）个不同的n阶对称幻方;当n=2m＋1（m=2k,k=1,2,…）时,可构造出2m（k!）2m-1（k!）（（k-1）!）个不同的n阶奇偶分开的对称幻方;当n=2m＋1（m=2k＋1,k=0,1,2,…）时,可构造出2m（（k＋1）!）（k!）2m-1（k!）2个不同的n阶奇偶分开的对称幻方.
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