8的倍数有什么特征？ 8的倍数的特征
8\u7684\u500d\u6570\u6709\u4ec0\u4e48\u7279\u5f818\u7684\u500d\u6570\u7684\u7279\u5f81\uff1a\u5168\u4e3a\u5076\u6570\uff0c\u80fd\u88ab8\u6574\u9664\u7684\u6570\u7684\u7279\u5f81\u662f\u6700\u540e\u4e09\u4f4d\u90fd\u80fd\u88ab8\u6574\u9664\u3002\u4e00\u4e2a\u6570\u7684\u540e\u4e09\u4f4d\u6570\u662f8\u7684\u500d\u6570\u3002\u4e00\u4e2a\u6574\u6570\u7684\u672b\u5c3e\u4e09\u4f4d\u6570\u80fd\u88ab8\u6574\u9664\uff0c\u5219\u8fd9\u4e2a\u6570\u80fd\u88ab8\u6574\u9664\u3002
\u5176\u4ed6\u6570\u4f4d\u7684\u7279\u5f81\uff1a\u4e00\u4e2a\u6570\u7684\u540e\u4e09\u4f4d\u6570\u662f125\u7684\u500d\u6570,\u8fd9\u4e2a\u6570\u5c31\u662f125\u7684\u500d\u6570\u3002
4\u7684\u500d\u6570\u7684\u7279\u5f81\uff1a \uff081\uff09\u5341\u4f4d\u6570\u662f\u5947\u6570\u4e14\u4e2a\u4f4d\u6570\u4e3a\u4e0d\u662f\u56db\u7684\u500d\u6570\u7684\u5076\u6570\u6216\u5341\u4f4d\u6570\u662f\u5076\u6570\u4e14\u4e2a\u4f4d\u6570\u662f\u56db\u7684\u500d\u6570\u3002 \uff082\uff09\u82e5\u4e00\u4e2a\u6574\u6570\u7684\u672b\u5c3e\u4e24\u4f4d\u6570\u80fd\u88ab4\u6574\u9664\uff0c\u5219\u8fd9\u4e2a\u6570\u80fd\u88ab4\u6574\u9664,\u5373\u662f4\u7684\u500d\u6570 \u3002
6\u7684\u500d\u6570\u7684\u7279\u5f81\uff1a\u5404\u4e2a\u6570\u4f4d\u4e0a\u7684\u6570\u5b57\u4e4b\u548c\u53ef\u4ee5\u88ab3\u6574\u9664\u7684\u5076\u6570\u3002
\u62d3\u5c55\u8d44\u6599\u2460\u4e00\u4e2a\u6574\u6570\u80fd\u591f\u88ab\u53e6\u4e00\u4e2a\u6574\u6570\u6574\u9664\uff0c\u8fd9\u4e2a\u6574\u6570\u5c31\u662f\u53e6\u4e00\u6574\u6570\u7684\u500d\u6570\u3002\u598215\u80fd\u591f\u88ab3\u62165\u6574\u9664\uff0c\u56e0\u6b6415\u662f3\u7684\u500d\u6570\uff0c\u4e5f\u662f5\u7684\u500d\u6570\u3002
\u2461\u4e00\u4e2a\u6570\u9664\u4ee5\u53e6\u4e00\u6570\u6240\u5f97\u7684\u5546\u3002\u5982a\u00f7b=c\uff0c\u5c31\u662f\u8bf4\uff0ca\u662fb\u7684\u500d\u6570\u3002\u4f8b\u5982\uff1aA\u00f7B=C\uff0c\u5c31\u53ef\u4ee5\u8bf4A\u662fB\u7684C\u500d\u3002
\u2462\u4e00\u4e2a\u6570\u7684\u500d\u6570\u6709\u65e0\u6570\u4e2a\uff0c\u4e5f\u5c31\u662f\u8bf4\u4e00\u4e2a\u6570\u7684\u500d\u6570\u7684\u96c6\u5408\u4e3a\u65e0\u9650\u96c6\u3002 \u6ce8\u610f\uff1a\u4e0d\u80fd\u628a\u4e00\u4e2a\u6570\u5355\u72ec\u53eb\u505a\u500d\u6570\uff0c\u53ea\u80fd\u8bf4\u8c01\u662f\u8c01\u7684\u500d\u6570\u3002
8\u7684\u500d\u6570\u7684\u7279\u5f81\uff1a\u4e00\u4e2a\u6570\u7684\u672b\u4e09\u4f4d\u662f8\u7684\u500d\u6570\uff0c\u8fd9\u4e2a\u6570\u5c31\u662f8\u7684\u500d\u6570\u3002
\u8981\u770b\u4e00\u4e2a\u6570\u662f\u4e0d\u662f8\u7684\u500d\u6570\uff0c\u53ea\u9700\u8981\u770b\u540e\u4e09\u4f4d\uff0c\u5373\u767e\u4f4d\u3001\u5341\u4f4d\u548c\u4e2a\u4f4d\uff0c\u5982\u679c\u540e\u4e09\u4f4d\u6570\u80fd\u6574\u96648\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6570\u5c31\u662f8\u7684\u500d\u6570\u3002
\u4f8b\u5982\uff1a89968\uff0c\u672b\u4e09\u4f4d\u4e3a968\uff0c968\u9664\u4ee58\u7b49\u4e8e121\uff0c\u6240\u4ee589968\u662f8\u7684\u500d\u6570\u3002
\u4e00\u4e2a\u6574\u6570\u80fd\u591f\u88ab\u53e6\u4e00\u4e2a\u6574\u6570\u6574\u9664\uff0c\u8fd9\u4e2a\u6574\u6570\u5c31\u662f\u53e6\u4e00\u6574\u6570\u7684\u500d\u6570\u3002\u598215\u80fd\u591f\u88ab3\u62165\u6574\u9664\uff0c\u56e0\u6b6415\u662f3\u7684\u500d\u6570\uff0c\u4e5f\u662f5\u7684\u500d\u6570\u3002
\u4e00\u4e2a\u6570\u9664\u4ee5\u53e6\u4e00\u6570\u6240\u5f97\u7684\u5546\u3002\u5982a\u00f7b=c\uff0c\u5c31\u662f\u8bf4\uff0ca\u662fb\u7684\u500d\u6570\u3002\u4f8b\u5982\uff1aA\u00f7B=C\uff0c\u5c31\u53ef\u4ee5\u8bf4A\u662fB\u7684C\u500d\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u4efb\u610f\u4e24\u4e2a\u5947\u6570\u7684\u5e73\u65b9\u5dee\u662f8\u7684\u500d\u6570\u3002
\u8bc1\u660e\uff1a\u8bbe\u4efb\u610f\u5947\u65702n+1,2m+1,(m,n\u2208N)
\uff082m+1)2-(2n+1)2
=(2m+1+2n+1)*(2m-2n)
=4(m+n+1)(m-n)
\u5f53m,n\u90fd\u662f\u5947\u6570\u6216\u90fd\u662f\u5076\u6570\u65f6\uff0cm-n\u662f\u5076\u6570\uff0c\u88ab2\u6574\u9664\u3002
\u5f53m,n\u4e00\u5947\u4e00\u5076\u65f6\uff0cm+n+1\u662f\u5076\u6570\uff0c\u88ab2\u6574\u9664\u3002
\u6240\u4ee5(m+n+1)(m-n)\u662f2\u7684\u500d\u6570\u3002
\u52194(m+n+1)(m-n)\u4e00\u5b9a\u662f8\u7684\u500d\u6570\u3002
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绛旓細8鐨勫嶆暟鐨鐗瑰緛鏄紝鍚庝笁浣嶆暟鑳借8鏁撮櫎銆
