\n\u665a\u4e0a\u8ddf\u7b71\u97f3\u804a\u8d77\u6211\u5728\u5979\u8fd9\u4e2a\u5e74\u7ea7\u65f6\uff08\u4e09\u5e74\u7ea7\uff09\u66fe\u7ecf\u62e5\u6709\u7684\u4e00\u672c\u4e66\uff1a\u300a\u5947\u5999\u76849\u300b\u3002\u8bf4\u8d77\u6765\u90a3\u662f\u6211\u6574\u4e2a\u5c0f\u5b66\u5230\u521d\u4e2d\u9636\u6bb5\u4e70\u8fc7\u7684\u552f\u4e00\u7684\u4e00\u672c\u4e66\uff0c\u5370\u8c61\u81ea\u7136\u6df1\u523b\u3002
\n
\n
\n\u6211\u8bf4\uff0c\u56e0\u4e3a\u8bfb\u4e86\u8fd9\u672c\u4e66\uff0c\u6211\u5f53\u65f6\u60ca\u5947\u5730\u53d1\u73b0\uff1a\u539f\u6765\u80fd\u88ab9\u6574\u9664\u7684\u4e24\u4f4d\u6570\u4ee5\u4e0a\u7684\u81ea\u7136\u6570\uff0c\u5404\u6570\u76f8\u52a0\u4e5f\u4e00\u5b9a\u80fd\u88ab9\u6574\u9664\u3002\u6bd4\u65b9\u8bf49801\uff0c9+8+0+1=18
\n\uff0c\u56e0\u4e3a18\u80fd\u88ab9\u6574\u9664\uff0c9801\u4e5f\u80fd\u88ab9\u6574\u9664\u3002\u800c\u4e14\u5982\u679c\u5404\u6570\u76f8\u52a0\u4e4b\u548c\u4e0d\u80fd\u88ab9\u9664\u5c3d\uff0c\u5b83\u7684\u4f59\u6570\u4e5f\u5c31\u662f\u539f\u6570\u9664\u4ee59\u7684\u4f59\u6570\u3002\u6839\u636e\u8fd9\u4e2a\u539f\u7406\uff0c\u53ef\u4ee5\u7b80\u5316\u5f88\u591a\u9898\u7684\u8ba1\u7b97\u3002
\n
\n
\n\u5973\u513f\u542c\u4e86\u89c9\u5f97\u975e\u5e38\u65b0\u5947\u3002\u4e8e\u662f\u6211\u4eec\u968f\u4fbf\u60f3\u4e86\u4e00\u4e9b\u6570\u5b57\u6765\u8bd5\u9a8c\uff0c\u7ed3\u679c\u5f53\u7136\u5e94\u9a8c\u3002\u6211\u672c\u6765\u4ee5\u4e3a\u5230\u6b64\u5c31\u53ef\u4ee5\u6253\u4f4f\u4e86\uff0c\u53ef\u5979\u5c45\u7136\u8ffd\u7740\u6211\u95ee\u2014\u2014
\n
\n
\n\u8fd9\u662f\u4e3a\u4ec0\u4e48\u5462\uff1f
\n
\n
\n\u7cdf\u7cd5\uff0c\u5982\u679c\u662f\u8bf4\u6545\u4e8b\uff0c\u6211\u53ef\u4ee5\u544a\u8bc9\u5979\u201c\u6545\u4e8b\u5c31\u662f\u6545\u4e8b\u561b\u201d\u3002\u53ef\u8fd9\u662f\u6570\u5b66\uff0c\u6211\u4eec\u53ea\u597d\u8d39\u529b\u8bc1\u660e\u4e00\u4e0b\u4e86\u3002
\n
\n
\n\u6211\u62ff\u4e86\u5f20\u5927\u767d\u7eb8\uff08\u5c0f\u4e86\u4f30\u8ba1\u8fd8\u7b97\u4e0d\u8fc7\u6765\u5462\uff09\uff0c\u8bf4\u6211\u7b97\u7ed9\u4f60\u770b\u54c8\u3002
\n
\n
\n\u6211\u4eec\u5148\u7b97\u56db\u4f4d\u6570\u5427\u3002\u6bd4\u65b9\u8bf4\u6709\u4e2a\u56db\u4f4d\u6570\uff0c\u6bcf\u4e2a\u4f4d\u6570\u7684\u6570\u5b57\u5206\u522b\u662fA\u3001B\u3001C\u3001D\u3002
\n
\n \u5047\u8bbe\uff1aA + B
\n+ C + D = 9M \uff08\u4e5f\u5c31\u662f\u8bf4\u80fd\u88ab9\u6574\u9664\u5427\uff09
\n
\n
\n\u8fd9\u4e2a\u6570\u5b57\u5176\u5b9e\u662f\u8fd9\u6837\u7684\uff1a1000A + 100B + 10C + D \uff0c\u6211\u6765\u8bd5\u7740\u628a\u5b83\u62c6\u89e3\u4e3a\uff1a
\n
\n (1+999)A
\n+ (1+99)B + (1+9)C + D
\n = (A + B
\n+ C + D) + 999A + 99B + 9C
\n = 9M +
\n9(111A + 11B + C)
\n = 9(M +
\n111A + 11B + C)
\n
\n
\n\u600e\u4e48\u6837\uff0c\u770b\u6e05\u695a\u4e86\uff0c\u8fd9\u4e2a\u6570\u5b57\u4e00\u5b9a\u80fd\u88ab9\u6574\u9664\u5427\uff1f
\n
\n
\n\u6211\u89c9\u5f97\u5df2\u7ecf\u6f14\u7b97\u5f97\u591f\u6e05\u695a\u4e86\uff0c\u53ef\u662f\u5973\u513f\u8138\u4e0a\u4e00\u7247\u832b\u7136\uff0c\u5979\u8bf4\u597d\u50cf\u662f\u7684\uff0c\u4e0d\u8fc7\u5979\u5b9e\u5728\u641e\u4e0d\u61c2ABCD\u662f\u4ec0\u4e48\u610f\u601d\uff01\u8fd9\u65f6\u5979\u5988\u5988\u4e5f\u8fc7\u6765\u51d1\u70ed\u95f9\uff0c\u770b\u7740\u6211\u4eec\u4e00\u526f\u5e78\u707e\u4e50\u7978\u7684\u6837\u5b50\u2014\u2014\u8fd9\u624d\u771f\u6b63\u53ef\u6c14\u5462\uff0c\u6ca1\u89c1\u6211\u5df2\u7ecf\u4e00\u8eab\u5927\u6c57\u4e86\u5417\uff01
\n
\n
\n\u6211\u5b9e\u5728\u88ab\u903c\u6025\u4e86\uff0c\u5bf9\u7b71\u97f3\u8bf4\uff0c\u6211\u4eec\u5c31\u628aABCD\u7edf\u7edf\u6254\u6389\u5427\uff0c\u4f60\u7ed9\u6211\u60f3\u4e00\u4e2a\u56db\u4e2a\u5b57\u7684\u6210\u8bed\u3002\u7b71\u97f3\u618b\u4e86\u4e00\u4e0b\uff0c\u8131\u53e3\u800c\u51fa\uff1a\u201c\u62c9\u5c4e\u653e\u5c41\u201d\uff0c\u4e8e\u662f\u6211\u4eec\u4e09\u4e2a\u90fd\u54c8\u54c8\u5927\u7b11\u4e86\u3002\u597d\u5427\uff0c\u201c\u62c9\u5c4e\u653e\u5c41\u201d\u4e5f\u884c\u3002\u6211\u4eec\u518d\u770b\u4e00\u904d\uff1a
\n
\n \u5047\u8bbe\uff1a\u62c9 + \u5c4e
\n+ \u653e + \u5c41 = 9\u55ef\u55ef \uff08\u8fd9\u6837\u603b\u8be5\u6e05\u695a\u4e86\u5427\uff01\uff09
\n
\n
\n\u8fd9\u4e2a\u56db\u4f4d\u6570\u5c31\u662f\uff1a1000\u4e2a\u62c9 + 100\u4e2a\u5c4e + 10\u4e2a\u653e + 1\u4e2a\u5c41 \uff08\u6ca1\u95ee\u9898\u4e86\u5427\uff09
\n
\n \u5206\u89e3\u4e3a\uff1a
\n (1+999)\u62c9
\n+ (1+99)\u5c4e + (1+9)\u653e + \u5c41
\n = (\u62c9 + \u5c4e
\n+ \u653e + \u5c41) + 999\u62c9 + 99\u5c4e + 9\u653e
\n = 9\u55ef\u55ef +
\n9(111\u62c9 + 11\u5c4e + \u653e)
\n = 9(\u55ef\u55ef +
\n111\u62c9 + 11\u5c4e + \u653e)
\n
\n
\n\u600e\u4e48\u6837\uff0c\u8fd9\u4e00\u56de\u591f\u6e05\u695a\u4e86\uff1f
\n
\n
\n\u5973\u513f\u4e00\u8def\u54c8\u54c8\u5927\u7b11\uff0c\u8bf4\u8fd9\u56de\u7ec8\u4e8e\u641e\u660e\u767d\u4e86\uff0c\u4e0d\u8fc7\u5979\u5b9e\u5728\u618b\u4e0d\u4f4f\u4e86\uff0c\u4e8e\u662f\u771f\u7684\u6342\u7740\u809a\u5b50\u53bb\u55ef\u55ef\u4e86\u2026\u2026
\n
\n
\n\u6211\u7b2c\u4e00\u6b21\u53d1\u73b0\uff0c\u539f\u6765\u6570\u5b66\u8fd8\u6709\u8fd9\u79cd\u795e\u5947\u529f\u6548\uff01
\n
\n\u7b71\u97f3\u7238\u72382009\u5e742\u670823\u65e5\u665a\u8bb0<\/p>\n","protected":false},"excerpt":{"rendered":"
\u665a\u4e0a\u8ddf\u7b71\u97f3\u804a\u8d77\u6211\u5728\u5979\u8fd9\u4e2a\u5e74\u7ea7\u65f6\uff08\u4e09\u5e74\u7ea7\uff09\u66fe\u7ecf\u62e5\u6709\u7684\u4e00\u672c\u4e66\uff1a\u300a\u5947\u5999\u76849\u300b\u3002 [\u2026]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"wp_typography_post_enhancements_disabled":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[23,1],"tags":[26],"class_list":["post-1095","post","type-post","status-publish","format-standard","hentry","category-timemachine","category-thoughts","tag-26"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/posts\/1095","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/comments?post=1095"}],"version-history":[{"count":1,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/posts\/1095\/revisions"}],"predecessor-version":[{"id":1157,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/posts\/1095\/revisions\/1157"}],"wp:attachment":[{"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/media?parent=1095"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/categories?post=1095"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ajia.site\/blog\/wp-json\/wp\/v2\/tags?post=1095"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}