{"id":40917,"date":"2023-02-23T22:22:40","date_gmt":"2023-02-23T14:22:40","guid":{"rendered":"https:\/\/swarma.org\/?p=40917"},"modified":"2023-02-23T22:22:40","modified_gmt":"2023-02-23T14:22:40","slug":"chatgpt-%e5%90%91%e9%80%9a%e7%94%a8%e6%84%8f%e8%af%86%e6%9c%ba%e5%99%a8%e8%bf%9b%e5%8c%96%e7%9a%84%e5%85%b3%e9%94%ae-%e8%87%aa%e6%8c%87%e7%9a%84%e5%90%af%e7%a4%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=40917","title":{"rendered":"ChatGPT \u5411\u901a\u7528\u610f\u8bc6\u673a\u5668\u8fdb\u5316\u7684\u5173\u952e\u2014\u2014\u81ea\u6307\u7684\u542f\u793a"},"content":{"rendered":"
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\u81ea\u6307\uff08self reference\uff09<\/span><\/strong>\u4e0d\u4ec5\u53ef\u4ee5\u6784\u9020\u6096\u8bba\uff0c\u5bfc\u81f4\u56fe\u7075\u505c\u673a\u95ee\u9898\u548c\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u6027\u5b9a\u7406\uff0c\u540c\u65f6\u4e5f\u662f\u751f\u547d\u81ea\u590d\u5236\u548c\u610f\u8bc6\u673a\u5668\u6700\u6838\u5fc3\u7684\u90e8\u5206\u3002<\/span><\/strong><\/strong>\u6211\u4eec\u731c\u6d4b\uff0c\u672a\u6765ChatGPT\u671d\u5411\u901a\u7528\u610f\u8bc6\u673a\u5668\u8fdb\u5316\uff0c\u5176\u4e2d\u5173\u952e\u5c31\u662f\u5b9e\u73b0\u4e00\u4e2aQuine\u7ed3\u6784\u3002<\/span><\/strong>\u540c\u65f6\uff0c\u968f\u7740\u7c7bChatGPT\u7b49AIGC\u5185\u5bb9\u7684\u6cdb\u6ee5\uff0c\u4eba\u548c\u673a\u5668\u7684\u4e92\u52a8\u5c06\u9677\u5165\u4e00\u79cd\u201c\u56fe\u7075\u6e38\u620f\u201d\u7684\u6a21\u5f0f\uff0c\u8fd9\u79cd\u6a21\u5f0f\u53ef\u4ee5\u7528\u4e8e\u8bf4\u660e\u56fe\u7075\u505c\u673a\u95ee\u9898\u7684\u4e0d\u53ef\u80fd\u6027\uff0c\u4e5f\u53ef\u4ee5\u7528\u4e8e\u4eba\u673a\u535a\u5f08\u2014\u2014\u673a\u5668\u7528\u4e00\u5b9a\u89c4\u5219\u4ea7\u751f\u5185\u5bb9\uff0c\u7528\u6237\u8bc6\u522b\u51fa\u8fd9\u79cd\u89c4\u5219\uff0c\u4ece\u800c\u903c\u8feb\u673a\u5668\u8fdb\u5165\u66f4\u6df1\u5c42\u6b21\u7684\u89c4\u5219\u521b\u9020\u3002\u4e0d\u65ad\u9012\u5f52\u8fd9\u79cd\u6a21\u5f0f\uff0c\u673a\u5668\u5c06\u5185\u5728\u865a\u62df\u5c42\u4e0d\u65ad\u6df1\u5316\uff0c\u6700\u7ec8\u53ef\u80fd\u5bfc\u81f4\u667a\u80fd\u7206\u70b8\u2026\u2026<\/span><\/strong><\/p>\n


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ChatGPT\u7684\u4e00\u4e2a\u7814\u7a76\u65b9\u5411\u5c31\u662f\u8ba9\u673a\u5668\u5177\u5907\u4e00\u5b9a\u7684\u81ea\u6307\u80fd\u529b\uff0c\u5982\u81ea\u6211\u63d0\u9ad8\uff08self improve\uff09\uff0c\u81ea\u6211\u4e0b\u547d\u4ee4\uff08self instruction\uff09\u3002<\/span><\/strong><\/span><\/strong>\u4e3a\u653e\u5bbd\u89c6\u91ce\uff0c\u770b\u5230\u540eGPT\u65f6\u4ee3<\/span><\/strong><\/span><\/strong>\u4eba\u5de5\u667a\u80fd\u7684\u66f4\u591a<\/span><\/strong><\/span><\/strong><\/span><\/strong>\u53ef\u80fd\u6027\uff0c<\/span><\/strong>\u96c6\u667a\u4ff1\u4e50\u90e8\u7ec4\u7ec7\u201c\u540eChatGPT\u201d\u8bfb\u4e66\u4f1a<\/a>\uff0c<\/span><\/strong><\/span><\/strong>\u7531\u5317\u5e08\u5927\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u5f20\u6c5f\u8001\u5e08\u8054\u5408\u8096\u8fbe\u3001\u674e\u5ae3\u7136\u3001\u5d14\u9e4f\u3001\u4faf\u6708\u6e90\u3001\u949f\u7ff0\u5ef7\u3001\u5362\u71da\u7b49<\/span><\/strong><\/span><\/strong>\u591a\u4f4d\u8001\u5e08\u5171\u540c\u53d1\u8d77\u3002\u672c\u7cfb\u5217\u8bfb\u4e66\u4f1a\u7ebf\u4e0a\u8fdb\u884c\uff0c2023\u5e743\u67083\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a 19:00-21:00\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba15-7\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u53c2\u4e0e\u3002<\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n

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1. \u81ea\u6307\u2014\u2014\u4e00\u6761\u6c38\u6052\u7684\u91d1\u5e26<\/strong><\/strong><\/p>\n<\/section>\n

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\u81ea\u6307\u662f\u4e00\u4e2a\u975e\u5e38\u53e4\u8001\u7684\u8bdd\u9898\uff0c\u5b83\u901a\u5e38\u4e0e\u53e4\u4ee3\u5965\u4e49\u4ee5\u53ca\u5404\u79cd\u795e\u79d8\u54f2\u5b66\u6709\u5173\u3002\u4f8b\u5982\u4f5b\u6559\u4e2d\u6240\u63d0\u5021\u7684\u201c\u89c2\u8eab\u65e0\u5e38\u3001\u89c2\u5fc3\u65e0\u6211\u201d\uff0c\u4ee5\u53ca\u53e4\u5e0c\u814a\u7684\u201c\u8ba4\u8bc6\u4f60\u81ea\u5df1\u201d\uff0c\u90fd\u5728\u529d\u89e3\u4eba\u4eec\u80fd\u591f\u5c06\u5fc3\u667a\u7684\u89c2\u5bdf\u7bad\u5934\u6307\u5411\u81ea\u5df1\u3002\u4e2d\u56fd\u9053\u5bb6\u6240\u5021\u5bfc\u7684\u201c\u65e0\u201d\uff0c\u6b63\u662f\u4e00\u4e2a\u6700\u7b80\u5355\u7684\u4e00\u5b57\u6096\u8bba\u3002<\/p>\n


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\u4e00\u5e45\u6700\u80fd\u4f53\u73b0\u81ea\u6307\u6df1\u9083\u542b\u4e49\u7684\u56fe\u753b\u83ab\u8fc7\u4e8e\u8fd9\u6761\u6b63\u5728\u541e\u566c\u81ea\u5df1\u7684\u86c7\u3002\u6b64\u86c7\u4f5c\u4e3a\u4e00\u79cd\u56fe\u817e\u66fe\u5e7f\u6cdb\u51fa\u73b0\u5728\u5317\u6b27\u795e\u8bdd\u3001\u57fa\u7763\u6559\u795e\u5b66\u3001\u5370\u5ea6\u6559\u548c\u975e\u6d32\u5b97\u6559\u4e4b\u4e2d\u3002\u8fd9\u6761\u86c7\u5c06\u81ea\u6307\u90a3\u79cd\u6df1\u523b\u7684\u81ea\u6211\u6bc1\u706d\u6027\u4f53\u73b0\u5f97\u6dcb\u6f13\u5c3d\u81f4\u2014\u2014\u6211\u4eec\u53ef\u4ee5\u60f3\u8c61\u4e00\u4e0b\u5f53\u5b83\u628a\u81ea\u5df1\u541e\u566c\u5b8c\u6bd5\u4f1a\u4ea7\u751f\u600e\u6837\u602a\u5f02\u7684\u60c5\u666f\u3002<\/p>\n


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\u5c06\u8fd9\u79cd\u81ea\u6211\u6bc1\u706d\u6027\u7684\u53e4\u4ee3\u5965\u4e49\u5e94\u7528\u5230\u73b0\u4ee3\u79d1\u5b66\u4e2d\u5df2\u7ecf\u4ea7\u751f\u4e86\u4e00\u7cfb\u5217\u6df1\u523b\u7684\u7ed3\u8bba\u3002<\/strong>\u9996\u5148\uff0c\u572819\u4e16\u7eaa\u672b\uff0c\u8457\u540d\u6570\u5b66\u5bb6\u5eb7\u6258\u5c14\uff08George Cantor\uff09<\/span>\u5c06\u201c\u5bf9\u89d2\u7ebf\u5220\u9664\u201d\u6cd5\u5219\u5e94\u7528\u5230\u96c6\u5408\u8bba\u4e2d\uff0c\u4ece\u800c\u8bc1\u660e\u4e86\u5b9e\u6570\u7684\u4e2a\u6570\u6bd4\u81ea\u7136\u6570\u591a\u3002\u7d27\u63a5\u7740\uff0c\u7f57\u7d20\uff08Bertrand Russell\uff09<\/span>\u63d0\u51fa\u4e86\u8457\u540d\u7684\u201c\u7f57\u7d20\u6096\u8bba\u201d\u800c\u6467\u6bc1\u4e86\u5f17\u96f7\u683c\uff08Gottlob Frege\uff09<\/span>\u7684\u6570\u5b66\u5927\u53a6\u3002\u5e74\u4ec525\u5c81\u7684\u54e5\u5fb7\u5c14\uff08Kurt G\u00f6del\uff09<\/span>\u5de7\u5999\u5730\u5e94\u7528\u540c\u6837\u7684\u7834\u574f\u6027\u81ea\u6307\u4e00\u4e3e\u6467\u6bc1\u4e86\u6570\u5b66\u5927\u5e08\u5e0c\u5c14\u4f2f\u7279\uff08David Hilbert\uff09<\/span>\u7684\u5b8c\u5907\u4e00\u81f4\u6027\u7684\u6570\u5b66\u4f53\u7cfb\u68a6\u60f3\u3002\u56fe\u7075\uff08Alan Turing\uff09<\/span>\u5219\u5229\u7528\u540c\u6837\u7684\u6280\u5de7\u8fdb\u4e00\u6b65\u53d1\u73b0\u4efb\u4f55\u8d85\u7ea7\u8ba1\u7b97\u673a\u90fd\u4e0d\u53ef\u80fd\u6c42\u89e3\u7684\u56fe\u7075\u505c\u673a\u95ee\u9898\u3002<\/p>\n


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\u300a\u7ebd\u7ea6\u65f6\u62a5\u300b\u66fe\u5c06\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u5b9a\u7406\u8bc4\u4ef7\u4e3a20\u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5b9a\u7406\u3002\u81ea\u6307\u53ef\u4ee5\u7528\u6765\u6784\u9020\u7834\u574f\u6027\u7684\u6096\u8bba\u5df2\u7ecf\u662f\u4f17\u4eba\u7686\u77e5\u3001\u53f8\u7a7a\u89c1\u60ef\u4e86\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u8ba4\u8bc6\u5176\u5b9e\u5f88\u7247\u9762\u3002\u81ea\u6307\u5305\u542b\u4e86\u6bd4\u81ea\u6307\u6096\u8bba\u66f4\u5bbd\u6cdb\u7684\u5185\u5bb9\uff0c\u56e0\u4e3a\u5728\u81ea\u6307\u5927\u5bb6\u5ead\u4e2d\uff0c\u8fd8\u5305\u62ec\u53e6\u5916\u4e00\u7c7b\u6784\u5efa\u6027\u7684\u6210\u5458\u3002<\/p>\n


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1953\u5e74\uff0c\u6b63\u5f53\u4eba\u4eec\u4e3e\u676f\u6b22\u5e86\u6c83\u68ee\u548c\u514b\u91cc\u514b\u53d1\u73b0\u4e86DNA\u53cc\u87ba\u65cb\u7ed3\u6784\uff0c\u5e76\u4ece\u5206\u5b50\u5c42\u9762\u4e0a\u89e3\u91ca\u4e86\u751f\u547d\u7684\u81ea\u6211\u590d\u5236\u4e4b\u8c1c\u7684\u65f6\u5019\uff0c\u53e6\u5916\u4e00\u540d\u4f1f\u5927\u7684\u7f8e\u56fd\u5308\u7259\u5229\u88d4\u6570\u5b66\u5bb6\uff1a\u7ea6\u7ff0\u00b7\u51af\u00b7\u8bfa\u4f9d\u66fc<\/span>\uff08John von Neumann\uff09<\/span>\u6b63\u5728\u72ec\u7acb\u5730\u601d\u8003\u7740\u751f\u547d\u81ea\u6211\u590d\u5236\u7684\u903b\u8f91\u57fa\u7840\u3002\u7136\u800c\uff0c\u4ee4\u4eba\u9057\u61be\u7684\u662f\uff0c\u90a3\u65f6\u7684\u51af\u8bfa\u4f9d\u66fc\u5df2\u7ecf\u60a3\u4e0a\u4e86\u764c\u75c7\uff0c\u5e76\u4e8e1957\u5e74\u76842\u6708\u53bb\u4e16\u3002\u4e8e\u662f\uff0c\u4ed6\u7684\u52a9\u624b\u963f\u745f\u00b7\u4f2f\u514b\u65af<\/span>\uff08Arthur Burks\uff09<\/span>\u5c06\u4ed6\u5173\u4e8e\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7684\u7406\u8bba\u6574\u7406\u6210\u4e66\u300aTheory of Self-reproducing Automata\u300b\uff0c\u5e76\u4e8e1966\u5e74\u51fa\u7248\u3002<\/span><\/section>\n

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\u51af\u00b7\u8bfa\u4f9d\u66fc\u7684\u9057\u4ea7\uff1a\u5bfb\u627e\u4eba\u5de5\u751f\u547d\u7684\u7406\u8bba\u6839\u6e90<\/a><\/strong><\/span><\/section>\n
\u63a2\u5bfb\u8ba1\u7b97\u7684\u201c\u539f\u529b\u201d<\/a><\/strong><\/span><\/section>\n
\u795e\u7ecf\u7f51\u7edc\u4e0e\u56fe\u7075\u673a\u7684\u590d\u6742\u5ea6\u535a\u5f08<\/a>
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\u3000\u3000\u4eba\u5de5\u667a\u80fd\u5982\u4f55\u63b7\u9ab0\u5b50<\/strong><\/a>\u2014\u2014\u4e09\u79cd\u6982\u7387\u7406\u8bba<\/strong><\/a><\/strong><\/span><\/section>\n
\u3000\u3000<\/strong>\u5927\u6570\u4e4b\u9053\u2014\u2014\u4eba\u8111\u4e0e\u7535\u8111\u7684\u5bf9\u6bd4<\/strong><\/a><\/section>\n
\u3000\u3000<\/strong>\u590d\u6742\u5ea6\u9608\u503c\u4e0e\u6982\u7387\u8bba\u4e2d\u201c\u6f0f\u6d1e\u201d<\/span><\/strong><\/a><\/section>\n
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\u628a\u201c\u5c0f\u660e\u8d77\u5e8a\u4e86\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8<\/span><\/strong><\/section>\n

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\u6309\u7167\u7684\u610f\u601d\u5bf9\u8fdb\u884c\u64cd\u4f5c\u5c31\u5f97\u5230\u4e86\u65b0\u53e5\u5b50\uff1a<\/section>\n
\u5c0f\u201c\u5c0f\u660e\u8d77\u5e8a\u4e86\u201d\u660e\u8d77\u5e8a\u4e86<\/span><\/strong><\/section>\n

<\/section>\n
\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u663e\u7136\u4e0e\u6ca1\u6709\u4ec0\u4e48\u5173\u7cfb\u3002<\/section>\n

<\/section>\n
\u8fdb\u4e00\u6b65\uff0c\u5982\u679c\u53bb\u9664\u53e5\u5b50\u4e2d\u7684\u7a7a\u7a74\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/section>\n

<\/section>\n
\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8<\/span><\/strong><\/section>\n

<\/section>\n
\u5b83\u4e5f\u662f\u4e00\u4e2a\u53e5\u5b50\uff08\u5c3d\u7ba1\u5b83\u4e0d\u5b8c\u6574\uff09\uff0c\u6211\u4eec\u8bb0\u5b83\u4e3a\u3002\u6700\u5173\u952e\u7684\u65f6\u523b\u6765\u4e34\u4e86\uff1a\u6211\u4eec\u8ba9\u5e76\u4ee3\u5165\u4e4b\u4e2d\u4f1a\u600e\u6837\uff1f\u4e5f\u5c31\u662f\u5c06\u9664\u53bb\u7a7a\u7a74\u7684\u53e5\u5b50\u90e8\u5206\u653e\u5230\u8fd9\u4e2a\u53e5\u5b50\u7684\u7a7a\u7a74\u4e4b\u4e2d\uff1a<\/section>\n

<\/section>\n
\u628a\u201c\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8<\/span><\/strong><\/section>\n

<\/section>\n
\u6211\u4eec\u4e0d\u59a8\u628a\u8fd9\u4e2a\u53e5\u5b50\u8bb0\u505a\uff0c\u56e0\u4e3a\u6211\u4eec\u628a\u7a7a\u7a74\u6362\u6210\u4e86\u6b8b\u53e5\u5b50\u3002\u4e4b\u540e\uff0c\u6211\u4eec\u518d\u6309\u7167\u8fd9\u4e2a\u53e5\u5b50\u6240\u7ed9\u51fa\u7684\u4f7f\u5f79\u52a8\u8bcd\u8fdb\u884c\u64cd\u4f5c\uff0c\u5c31\u80fd\u5f97\u5230\u65b0\u53e5\u5b50\uff0c\u4e5f\u5c31\u662f\uff1a<\/section>\n

<\/section>\n
\u628a\u201c\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8<\/span><\/strong><\/section>\n

<\/section>\n
\u4ee4\u4eba\u60ca\u5947\u7684\u662f\uff0c\u7ecf\u8fc7\u52a8\u8bcd\u64cd\u4f5c\u4e4b\u540e\u521b\u9020\u7684\u53e5\u5b50\u4e0e\u539f\u6765\u7684\u53e5\u5b50\u7adf\u7136\u662f\u4e00\u6a21\u4e00\u6837\u7684\uff01\u6240\u4ee5\u53e5\u5b50\u5229\u7528\u4f7f\u5f79\u52a8\u8bcd\u5b8c\u6210\u4e86\u201c\u81ea\u590d\u5236\u201d\u8fc7\u7a0b\uff0c\u4e5f\u5c31\u662f\u3002<\/section>\n

<\/section>\n
\u6211\u4eec\u628a\u8fd9\u79cd\u6280\u5de7\u79f0\u4e4b\u4e3a\u84af\u6069\u4ee5\u7eaa\u5ff5\u5b83\u7684\u53d1\u73b0\u8005\u7f8e\u56fd\u54f2\u5b66\u5bb6W.V. Quine\u3002\u4f60\u4f1a\u770b\u5230\uff0c\u8fd9\u79cd\u6280\u5de7\u53ef\u4ee5\u8ba9\u6211\u4eec\u4e0d\u7528\u201c\u8fd9\u53e5\u8bdd\u201d\u6307\u4ee3\u8bcd\u5c31\u80fd\u591f\u9020\u51fa\u81ea\u6307\u8bed\u53e5\uff0c\u6bd4\u5982\u4e0b\u9762\u8fd9\u4e2a\u53e5\u5b50\uff1a<\/section>\n

<\/section>\n
\u628a\u201c\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684<\/span><\/strong><\/section>\n

<\/section>\n
\u6ce8\u610f\uff0c\u8fd9\u4e2a\u53e5\u5b50\u4e0e\u524d\u9762\u7684\u53e5\u5b50\u7a0d\u6709\u4e0d\u540c\uff0c\u8fd9\u5c31\u662f\u5728\u540e\u9762\u52a0\u4e0a\u4e86\u4e00\u4e2a\u5224\u65ad\u201c\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684\u201d\u3002\u6211\u4eec\u4e0d\u59a8\u8bb0\u201c\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684\u201d\uff0c\u5e76\u4e14\u628a\uff1a<\/section>\n

<\/section>\n
\u628a\u201cX\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684<\/span><\/strong><\/section>\n

<\/section>\n
\u8fd9\u53e5\u8bdd\u8bb0\u4e3a\uff0c\u5176\u4e2d\u7b26\u53f7\u8868\u793a\u5c06\u4e24\u4e2a\u53e5\u5b50\u7c98\u5408\u5728\u4e00\u8d77\u5f62\u6210\u65b0\u7684\u53e5\u5b50\uff0c\u4e8e\u662f\u5c31\u662f\uff1a<\/section>\n

<\/section>\n
\u628a\u201c\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684<\/span><\/strong><\/section>\n

<\/section>\n
\u6211\u4eec\u53ef\u4ee5\u9a8c\u8bc1\uff0c\u7ecf\u8fc7\u53e5\u5b50\u6240\u63cf\u8ff0\u7684\u64cd\u4f5c\u4e4b\u540e\u5f97\u5230\u7684\u53e5\u5b50\u8ddf\u662f\u4e00\u6a21\u4e00\u6837\u7684\u3002\u6240\u4ee5\u8fd9\u53e5\u8bdd\u5c31\u76f8\u5f53\u4e8e\uff1a\u201c\u8fd9\u53e5\u8bdd\u662f\u5047\u7684\u201d\u3002\u6211\u4eec\u6ca1\u4f7f\u7528\u201c\u8fd9\u53e5\u8bdd\u201d\u6307\u4ee3\u8bcd\u5c31\u5b9e\u73b0\u4e86\u81ea\u6307\u3002<\/section>\n

<\/section>\n
\u6709\u5173\u66f4\u591a\u7684\u8bed\u8a00\u4e2d\u7684\u84af\u6069\u64cd\u4f5c\u7684\u8ba8\u8bba\u8bf7\u53c2\u770b\u300a\u54e5\u5fb7\u5c14\u3001\u827e\u820d\u5c14\u3001\u5df4\u8d6b\u2014\u2014\u96c6\u5f02\u74a7\u4e4b\u5927\u6210\u300b\u4e00\u4e66\u7684\u5bf9\u8bdd\u300aG\u5f26\u4e0a\u7684\u548f\u53f9\u8c03\u300b\uff0c\u4ee5\u53ca\u300aDiagonalization and Self-Reference\u300b\u4e00\u4e66\u3002<\/section>\n

<\/section>\n
\u4e5f\u8bb8\u4f60\u4f1a\u89c9\u5f97\u6211\u4eec\u5728\u73a9\u5f04\u8bed\u8a00\u6e38\u620f\uff0c\u7136\u800c\uff0c\u8fd9\u79cd\u8bed\u8a00\u6280\u672f\u5374\u5728\u6570\u5b66\u548c\u8ba1\u7b97\u673a\u4e2d\u8d77\u5230\u4e86\u975e\u5e38\u5927\u7684\u4f5c\u7528\uff0c\u56e0\u4e3a\u84af\u6069\u53e5\u5b50\u6070\u6070\u5c31\u662f\u81ea\u590d\u5236\u673a\u5668\u7684\u903b\u8f91\u57fa\u7840\uff0c\u4e5f\u662fGodel\u5b9a\u7406\u8bc1\u660e\u8fc7\u7a0b\u4e2d\u7684\u5173\u952e\u4e00\u6b65\u3002<\/strong>\u4e0b\u9762\uff0c\u6211\u4eec\u5206\u522b\u5bf9\u5efa\u6784\u6027\u81ea\u6307\u548c\u7834\u574f\u6027\u81ea\u6307\u8fdb\u884c\u8be6\u7ec6\u5730\u4ecb\u7ecd\u3002<\/section>\n

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<\/svg><\/section>\n<\/section>\n<\/section>\n
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3. \u5efa\u6784\u6027\u7684\u81ea\u6307<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n

<\/section>\n
\u867d\u7136\u63d0\u8d77\u81ea\u6307\uff0c\u4eba\u4eec\u5f88\u5bb9\u6613\u60f3\u5230\u81ea\u6307\u6096\u8f6e\u3002\u4f46\u662f\uff0c\u4eba\u4eec\u4e0d\u719f\u6089\u7684\u662f\u53e6\u5916\u4e00\u5927\u7c7b\u65e0\u5bb3\u7684\u81ea\u6307\uff0c\u5b83\u4eec\u901a\u5e38\u76f4\u63a5\u5e94\u7528\u84af\u6069\u6280\u672f\uff0c\u800c\u5b9e\u73b0\u67d0\u4e9b\u610f\u60f3\u4e0d\u5230\u7684\u7ed3\u6784\u6216\u8005\u529f\u80fd\u3002\u4e0b\u9762\uff0c\u8ba9\u6211\u4eec\u5148\u4ece\u4e00\u79cd\u6700\u7b80\u5355\u7684\u5efa\u6784\u6027\u81ea\u6307\uff1a\u81ea\u6253\u5370\u7a0b\u5e8f\u8bf4\u8d77\u3002<\/section>\n

<\/section>\n
\u6240\u8c13\u7684\u7a0b\u5e8f\u81ea\u6253\u5370\u5c31\u662f\u6307\u4e00\u4e2a\u7a0b\u5e8f\u80fd\u591f\u5728\u4e0d\u8bfb\u53d6\u5916\u90e8\u6587\u4ef6\u7684\u6761\u4ef6\u4e0b\u628a\u81ea\u5df1\u7684\u6e90\u4ee3\u7801\u6253\u5370\u51fa\u6765\u3002<\/strong>\u9996\u5148\uff0c\u6211\u4eec\u8981\u5148\u9886\u6559\u4e00\u4e0b\uff0c\u4e00\u4e2a\u81ea\u6211\u6253\u5370\u7684\u7a0b\u5e8f\u662f\u591a\u4e48\u4e0d\u53ef\u80fd\u7684\uff01\u6211\u4eec\u77e5\u9053\uff0c\u8981\u5199\u4e00\u4e2a\u7a0b\u5e8f\u6253\u5370\u51fa\u201chelloworld!\u201d\u5b57\u6837\u662f\u975e\u5e38\u5bb9\u6613\u7684\uff0c\u4f8b\u5982\uff1a<\/section>\n
\n
Print<\/span>(\u2018helloworld!\u2019)<\/section><\/pre>\n<\/section>\n
\u6ce8\u610f\u5728\u8fd9\u4e2a\u7a0b\u5e8f\u4e2d\uff0c\u5b57\u7b26\u4e32\u90fd\u7528\u5355\u5f15\u53f7\u62ec\u8d77\u6765\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u80fd\u4e0d\u80fd\u5199\u4e00\u4e2a\u7a0b\u5e8f\uff0c\u628a\u8fd9\u4e2a\u6253\u5370\u201chelloworld!\u201d\u7a0b\u5e8f\u7684\u6e90\u4ee3\u7801\u6253\u5370\u51fa\u6765\u5462\uff1f\u8fd9\u4e5f\u662f\u53ef\u4ee5\u529e\u5230\u7684\uff0c\u4f8b\u5982\u4e0b\u9762\u7684\u7a0b\u5e8f\uff1a<\/section>\n
\n
Print<\/span>(\u2018Print<\/span>(\u2019helloworld!\u2019)\u2019)<\/section><\/pre>\n<\/section>\n
\u6ce8\u610f\uff0c\u8fd9\u91cc\u9762\u7684\u201c\u2019\u201d\u4f1a\u88ab\u7f16\u8bd1\u5668\u89e3\u91ca\u4e3a\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c\u8fd9\u4e2a\u5b57\u7b26\u4e32\u4e2d\u5c31\u6709\u4e00\u4e2a\u5b57\u7b26\uff1a\u201c ` \u201d\u3002\u91c7\u7528\u8fd9\u4e2a\u6280\u5de7\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u89e3\u51b3\u5982\u4f55\u5728\u4e00\u4e2a\u5f15\u53f7\u4e4b\u4e2d\u518d\u8f93\u5165\u4e00\u4e2a\u5f15\u53f7\u7684\u95ee\u9898\u4e86\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u8f7b\u677e\u5730\u6253\u5370\u51fa\u8fd9\u4e2a\u80fd\u591f\u6253\u5370\u201dhelloworld!\u201d\u7a0b\u5e8f\u7684\u7a0b\u5e8f\u6e90\u4ee3\u7801\u51fa\u6765\u3002\u4f46\u662f\u5f88\u663e\u7136\u8fd9\u4e2a\u7a0b\u5e8f\u5e76\u4e0d\u80fd\u6253\u5370\u51fa\u5b83\u81ea\u5df1\uff0c\u4e5f\u8bb8\u4f60\u4f1a\u60f3\u5230\u80fd\u4e0d\u80fd\u6253\u5370\u51fa\u4e0a\u9762\u7684\u7a0b\u5e8f\u6e90\u4ee3\u7801\u51fa\u6765\uff1f\u5f53\u7136\u53ef\u4ee5\uff01<\/section>\n
\n
Print<\/span>(\u2018Print<\/span>(\u2019Print<\/span>(\\\u2019helloworld!\\\u2019)\u2019)\u2019)<\/section><\/pre>\n<\/section>\n
\u5176\u4e2d\\\u5c31\u8868\u793a\u5305\u542b\u4e00\u4e2a\u5b57\u7b26\u201c\u201d\u7684\u5b57\u7b26\u4e32\u53d8\u91cf\uff0c\u8fd9\u6837Print(\u2018\\\u2019)\u5c31\u4f1a\u6253\u5370\u51fa\u4e00\u4e2a\u5b57\u7b26\u201c\u201d\uff0c\u800cPrint(\u2018\\\u2019\u2019)\u5c31\u4f1a\u6253\u5370\u51fa\u5b57\u7b26\u4e32\u201c\u2019\u201d\u51fa\u6765\u3002\u6240\u4ee5\uff0c\u5f15\u53f7\u91cc\u9762\u53ef\u4ee5\u653e\u5165\u4efb\u610f\u5c42\u6b21\u7684\u5f15\u53f7\u3002<\/section>\n
\u4f46\u662f\u8fd9\u4e2a\u7a0b\u5e8f\u4ecd\u7136\u4e0d\u80fd\u6253\u5370\u81ea\u5df1\uff01\u4f60\u5f88\u5feb\u53d1\u73b0\uff0c\u6211\u4eec\u4eba\u7c7b\u662f\u5199\u4e0d\u51fa\u8fd9\u79cd\u80fd\u591f\u6253\u5370\u81ea\u5df1\u7684\u7a0b\u5e8f\u7684\uff0c\u56e0\u4e3a\u5b83\u5305\u542b\u4e86\u65e0\u7a77\u9012\u5f52\u3002\u4e0d\u8fc7\uff0c\u901a\u8fc7\u84af\u6069\u6280\u5de7\uff0c\u5b9e\u9645\u4e0a\u6211\u4eec\u5b8c\u5168\u53ef\u4ee5\u5199\u51fa\u6765\u4e00\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\uff0c\u5982\u4e0b\uff1a<\/section>\n
\n
S(x){ q=\u2019S(x){\\n  q=\\\u2019\u2019+q+\u2019\\\u2019;\\n 
 Print<\/span>(\\\u2019\u2019+p(q)+\u2019\\\u2019);\\n}\u2019;
 Print<\/span>(\u2018S(x){n  q=\u2019\u2019+q+\u2019\u2019;n  Print<\/span>(\u2019\u2019+p(q)+\u2019\u2019);n}\u2019); }<\/section><\/pre>\n<\/section>\n
\u6e90\u4ee3\u78011\uff1a\u81ea<\/span><\/strong>\u6253\u5370\u7a0b\u5e8f\u6e90\u4ee3\u7801
<\/span><\/strong><\/section>\n

<\/section>\n
\u8fd9\u91cc\u9762\u7684\u201cn\u201d\u8868\u793a\u6362\u884c\u7b26\uff0c\u5373\u5982\u679c\u6267\u884cPrint(\u2018AnB\u2019)\uff0c\u5219\u7a0b\u5e8f\u4f1a\u8f93\u51fa\u4e0b\u9762\u7684\u5b57\u7b26\u4e32\uff1a<\/section>\n
\n
A<\/span>

B<\/section><\/pre>\n<\/section>\n
\u201c+\u201d\u8868\u793a\u5c06\u4e24\u4e2a\u5b57\u7b26\u4e32\u8fdb\u884c\u4e32\u8054\u5f62\u6210\u4e00\u4e2a\u65b0\u7684\u5b57\u7b26\u4e32\uff0c\u4f8b\u5982A=\u2019123\u2019,B=\u2019456\u2019\uff0c\u5219A+B=\u2019123456\u2019\u3002<\/section>\n

<\/strong><\/section>\n
\u8fd9\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\u8c03\u7528\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u89e3\u7801\u51fd\u6570\uff0c\u7684\u4f5c\u7528\u662f\u5c06\u5b57\u7b26\u4e32\u53d8\u6362\u6210\u66f4\u6d45\u4e00\u5c42\u6b21\u7684\u5b57\u7b26\u4e32\u3002<\/strong>\u4f8b\u5982\uff0c\u5982\u679c\u662f\u201c\\\u2019\\\u2019\\n\\\u201d\uff0c\u90a3\u4e48\u8fd9\u4e2a\u51fd\u6570\u5c31\u4f1a\u8ba1\u7b97\u8f93\u51fa\u201c\u2019\u2019n\u201d\u3002\u4e5f\u5c31\u662f\u8bf4\u5b8c\u6210\u4e86\u4e00\u7ec4\u6620\u5c04\uff1a\u5b83\u628a\u201c\\\u201d\u6620\u5c04\u6210\u201c\u201d\uff0c\u628a\u201c\u2019\u201d\u6620\u5c04\u6210\u201c\u2019\u201d\uff0c\u800c\u628a\u201cn\u201d\u6620\u5c04\u6210\u56de\u8f66\u7b26\u3002\u663e\u7136\u662f\u53ef\u4ee5\u5199\u51fa\u6765\u7684\u3002\u6211\u4eec\u77e5\u9053\uff0c\u7531\u5f15\u53f7\u7684\u5f15\u7528\u53ef\u4ee5\u5f62\u6210\u66f4\u52a0\u6df1\u5c42\u6b21\u7684\u865a\u62df\u4e16\u754c\uff08\u53c2\u89c1\u4e0a\u4e00\u5c0f\u8282\uff09<\/span>\u3002\u6240\u4ee5\u7684\u4f5c\u7528\u5c31\u662f\u8ba9\u5b57\u7b26\u4e32\u5f39\u51fa\u4e00\u5c42\u865a\u62df\u4e16\u754c\u3002\u7531\u4e8e\u7684\u4f5c\u7528\u5f88\u7b80\u5355\uff0c\u6211\u4eec\u5047\u8bbe\u5b83\u662f\u4e00\u4e2a\u7cfb\u7edf\u81ea\u5e26\u7684\u51fd\u6570\uff0c\u56e0\u6b64\u5c31\u4e0d\u5728\u6e90\u4ee3\u78011\u4e2d\u7ed9\u51fa\u7684\u5b9e\u73b0\u4ee3\u7801\u4e86\u3002<\/section>\n

<\/section>\n
S(x)\u8fd9\u4e2a\u7a0b\u5e8f\u4e2d\u5305\u542b\u4e86\u8fc7\u591a\u7684\u201c\u201d\u548c\u201c\u2019\u201d\u7b26\u53f7\uff0c\u8fd9\u5c31\u5bfc\u81f4\u6211\u4eec\u7406\u89e3\u6e90\u4ee3\u78011\u7a0d\u663e\u56f0\u96be\uff0c\u4e0b\u9762\u6211\u4eec\u5c06\u628a\u8be5\u7a0b\u5e8f\u8868\u793a\u6210\u4e0b\u9762\u7684\u56fe\uff0c\u4ece\u800c\u8ba9\u8bfb\u8005\u770b\u5f97\u66f4\u6e05\u6670\u4e00\u4e9b\uff1a<\/section>\n

<\/section>\n
\n
<\/section>\n<\/section>\n
\u81ea\u6253\u5370\u7a0b\u5e8f\u6e90\u4ee3\u7801\u4e2d\u7684\u5f15\u53f7\u5c42\u6b21\u793a\u610f<\/span><\/section>\n

<\/span><\/strong><\/section>\n
\u5982\u4e0a\u56fe\uff0c\u8fd9\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\u4e2d\u7684\u5f15\u53f7\u5168\u90e8\u7528\u65b9\u6846\u6765\u66ff\u4ee3\u3002\u8fd9\u6837\u7b2c\u4e00\u5c42\u5f15\u53f7\u2019\u2026\u2019\u5c31\u5bf9\u5e94\u4e86\u7b2c\u4e00\u5c42\u7684\u65b9\u6846\uff0c\u5f15\u53f7\u4e2d\u7684\u5f15\u53f7\uff0c\u5373\u201c\u2019\u2026\u2019\u201d\u5c31\u5bf9\u5e94\u4e86\u6846\u4e2d\u7684\u4e00\u4e2a\u6846\u3002\u8fd9\u6837\uff0c\u7531\u4e8e\u7a0b\u5e8f\u4e2d\u51fa\u73b0\u6700\u591a\u7684\u5c42\u6b21\u662f\u56db\u5c42\u5f15\u53f7\uff0c\u5373\u201c\\\u2019\u201d\uff0c\u6240\u4ee5\u4e0a\u56fe\u4e2d\u5c31\u51fa\u73b0\u4e86\u7b2c\u56db\u5c42\u6846\u3002<\/section>\n

<\/section>\n
\u53e6\u5916\uff0c\u6211\u4eec\u8fd8\u89c2\u5bdf\u5230\uff0c\u8fd9\u4e2a\u7a0b\u5e8f\u5305\u542b\u4e86\u4e24\u4e2a\u5927\u6846\uff0c\u5373\u201cq=\u201d\u540e\u9762\u7684\u9ec4\u6846\u548c\u201cPrint()\u201d\u4e4b\u4e2d\u7684\u90a3\u4e2a\u84dd\u6846\u3002\u8fd9\u4e24\u4e2a\u6846\u7684\u7ed3\u6784\u662f\u5b8c\u5168\u4e00\u6837\u7684\uff0c\u53ea\u4e0d\u8fc7\u9ec4\u6846\u6bd4\u84dd\u6846\u591a\u4e86\u4e00\u4e2a\u865a\u62df\u5c42\u6b21\uff0c\u8fd9\u53cd\u6620\u5728\u6240\u6709\u7684\u84dd\u8272\u6846\u4e2d\u7684\u6700\u6df1\u4e00\u5c42\u6846\u90fd\u518d\u52a0\u4e0a\u4e00\u5c42\u6846\u5c31\u5f97\u5230\u4e86\u9ec4\u8272\u6846\u3002<\/section>\n

<\/section>\n
\u66f4\u6709\u8da3\u7684\u662f\uff0c\u6574\u4e2a\u7a0b\u5e8fS(x)\u5b9e\u9645\u4e0a\u548c\u8fd9\u4e24\u4e2a\u6846\u662f\u76f8\u4f3c\u7684\uff0c\u56e0\u6b64\u8fd9\u4e2a\u7a0b\u5e8f\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u5206\u5f62\u7ed3\u6784\u3002\u5728\u4f20\u7edf\u7684\u5206\u5f62\u7ed3\u6784\u4e2d\uff0c\u6bcf\u4e00\u4e2a\u90e8\u5206\u90fd\u4f1a\u5305\u62ec\u65e0\u7a77\u591a\u7684\u7ec6\u8282\u3002\u4f46\u662f\uff0c\u5728\u8fd9\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\u4e2d\uff0c\u867d\u7136\u6709\u5d4c\u5957\u7684\u5206\u5f62\u7ed3\u6784\uff0c\u4f46\u662f\u5374\u6ca1\u6709\u8fbe\u5230\u65e0\u7a77\uff0c\u6700\u6df1\u7684\u5f15\u53f7\u4e5f\u4ec5\u4ec5\u67094\u5c42\u3002<\/section>\n

<\/section>\n
\u8ba9\u6211\u4eec\u6765\u5206\u6790\u4e00\u4e0b\u8fd9\u4e2a\u7a0b\u5e8f\u662f\u5982\u4f55\u8fd0\u4f5c\u7684\u3002\u9996\u5148\uff0c\u770b\u7a0b\u5e8f\u7684\u6700\u540e\u4e00\u884c\uff0c\u5373Print(\u2018S(x){nq=\u2019\u2019+q+\u2019\u2019;nPrint(\u2019\u2019+p(q)+\u2019\u2019);n}\u2019);\u8fd9\u53e5\u8bdd\u7684\u4f5c\u7528\u662f\u8ba9\u7a0b\u5e8f\u5728\u5c4f\u5e55\u4e0a\u6253\u5370\u51fa\u4e00\u4e2a\u5b57\u7b26\u4e32\u3002\u6ce8\u610f\u89c2\u5bdf\uff0c\u8fd9\u4e2a\u88ab\u6253\u5370\u51fa\u7684\u5b57\u7b26\u4e32\u5176\u5b9e\u662f\u7531\u201c+\u201d\u53f7\u88ab\u5206\u5272\u6210\u4e865\u4e2a\u90e8\u5206\uff0c\u7b2c\u4e00\u90e8\u5206<\/strong>\u662f\u201cS(x){nq=\u2019\u201d\uff0c\u7b2c\u4e8c\u4e2a\u90e8\u5206<\/strong>\u662fq\u8fd9\u4e2a\u5b57\u7b26\u4e32\u7684\u539f\u5c01\u4e0d\u52a8\u7684\u62f7\u8d1d\uff0c\u7b2c\u4e09\u90e8\u5206<\/strong>\u662f\u5b57\u7b26\u4e32\uff1a\u201c\u2019;nPrint(\u2019\u201d\uff0c\u7b2c\u56db\u90e8\u5206<\/strong>\u662f\u51fd\u6570\u4f5c\u7528\u5230\u4e0a\u9762\u7684\u7ed3\u679c\u5373\uff1b\u7b2c\u4e94\u90e8\u5206<\/strong>\u8fd8\u662f\u4e00\u4e2a\u5b57\u7b26\u4e32\uff1a\u201c\u2019);n}\u201d\u3002\u7136\u540e\u5f53\u6211\u4eec\u628aq\u5b57\u7b26\u4e32\u7684\u6570\u503c\u4ee3\u5165\u7b2c\u4e8c\u90e8\u5206\u548c\u7b2c\u56db\u90e8\u5206\uff0c\u5e76\u8fdb\u884c\u8fd0\u7b97\u4e4b\u540e\uff0c\u5c31\u5f97\u5230\u4e86\u548c\u6e90\u7a0b\u5e8f\u4e00\u6a21\u4e00\u6837\u7684\u7ed3\u679c\u3002\u4f60\u4e0d\u59a8\u5728\u8ba1\u7b97\u673a\u4e0a\u8fd0\u884c\u8fd9\u6bb5\u7a0b\u5e8f\uff0c\u5c31\u4f1a\u53d1\u73b0\u8fd9\u6bb5\u7a0b\u5e8f\u4f1a\u5728\u5c4f\u5e55\u4e0a\u8d64\u88f8\u88f8\u5730\u628a\u81ea\u5df1\u7684\u6e90\u4ee3\u7801\u6253\u5370\u51fa\u6765\u3002<\/section>\n

<\/section>\n
\u6211\u4eec\u4e0d\u59a8\u628a\u8fd9\u6bb5\u7a0b\u5e8f\u76845\u4e2a\u90e8\u5206\u8fdb\u884c\u5f52\u5e76\uff0c\u5199\u6210\u7531\u4e0b\u9762\u7684\u4e09\u90e8\u5206\u6784\u6210\u7684\uff1a\uff0c\u5176\u4e2dCopy\u5c31\u662f5\u90e8\u5206\u4e2d\u7684\u7b2c\u4e8c\u90e8\u5206\uff0c\u5373\u76f8\u5f53\u4e8e\u4e00\u4e2a\u62f7\u8d1d\u5b57\u7b26\u4e32\u7684\u7a0b\u5e8f\uff0c\u4f60\u8f93\u5165 \u7ed9Copy\u4ec0\u4e48\u5b57\u7b26\u4e32\uff0cCopy\u5c31\u4f1a\u628a\u90a3\u4e2a\u5b57\u7b26\u4e32\u518d\u539f\u5c01\u4e0d\u52a8\u5730\u5410\u51fa\u6765\uff1bPopup\u8fd9\u90e8\u5206\u5c31\u662f\u539f\u6765\u76845\u90e8\u5206\u4e2d\u7684\u7b2c\u56db\u90e8\u5206\uff0c\u5373\u51fd\u6570\uff0c\u5b83\u7684\u4f5c\u7528\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5f39\u51fa\u64cd\u4f5c\uff0c\u4e5f\u5c31\u662f\u4e3a\u8f93\u5165\u7684\u5b57\u7b26 \u4e32\u8131\u53bb\u4e00\u5c42\u5f15\u53f7\u3002\u5982\u679c\u8f93\u5165\u7684\u5b57\u7b26\u4e32\u539f\u6765\u662f\u5728\u7b2c\u5c42\u865a\u62df\u4e16\u754c\uff0c\u5219Popup\u7684\u4f5c\u7528\u5c31\u662f\u8ba9\u5b57\u7b26\u4e32\u8df3\u5230\u7b2c\u5c42\uff1b\u6700\u540eControl\u8fd9\u90e8\u5206\u5c31\u76f8\u5f53\u4e8e\u539f\u6765\u7684\u7b2c1\u30013\u30015\u8fd9\u4e09\u90e8\u5206\u4ee5\u53ca\u6700\u4e00\u5f00\u59cb\u7684\u8bed\u53e5Print\u7684\u603b\u5408\uff0c\u5b83\u7684\u4f5c\u7528\u5c31\u76f8\u5f53\u4e8e\u662f\u4e3aCopy\u548cPopup\u5236\u9020\u51fa\u6765\u7684\u5b57\u7b26\u6dfb\u52a0\u9002\u5f53\u7684\u8fde\u63a5\u8bcd\uff0c\u4f7f\u5f97\u6700\u540e\u7684\u5b57\u7b26\u4e32\u80fd\u591f\u62fc\u63a5\u6210\u4e0e\u539f\u6765\u7684\u7a0b\u5e8f\u4e00\u6a21\u4e00\u6837\u7684\u6e90\u7a0b\u5e8f\uff0c\u5e76\u5c06\u5176\u6253\u5370\u5230\u5c4f\u5e55\u4e0a\u3002\u6240\u4ee5\u8fd9\u53e5\u201cPrint(\u2018S(x){nq=\u2019\u2019+q+\u2019\u2019;nPrint(\u2019\u2019+p(q)+\u2019\u2019);n}\u2019);\u201d\u5c31\u53ef\u4ee5\u6539\u5199\u6210\u3002\u5176\u4e2d\u201c\u043e\u201d\u8868\u793a\u5c06\u4e0d\u540c\u7684\u7a0b\u5e8f\u8fde\u63a5\u4e3a\u4e00\u4f53\u3002<\/section>\n

<\/section>\n
\u5982\u679c\u6211\u4eec\u628a\u4e00\u4e2a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u7684\u63cf\u8ff0\uff08\u6216\u8005\u79f0\u6e90\u4ee3\u7801\uff09\u5199\u4e3a\uff0c\u5219\u81ea\u6253\u5370\u7a0b\u5e8f\u7684\u7b2c\u4e00\u6761\u8d4b\u503c\u8bed\u53e5\u5c31\u76f8\u5f53\u4e8e\u7ed9\u8d4b\u4e88\u4e86\uff0c\u5373\u8fd9\u4e09\u4e2a\u7a0b\u5e8f\u8fde\u5728\u4e00\u8d77\u7684\u6e90\u4ee3\u7801\u3002\u6700\u540e\u6211\u4eec\u53ef\u4ee5\u5c06\u81ea\u6253\u5370\u7a0b\u5e8f\u7b80\u5199\u4e3a\uff1a<\/section>\n
\n
S(x){ 
q= \u03bb (Copyo  Popupo  Control) 
(Copyo  Popupo  Control)(q); }<\/section><\/pre>\n<\/section>\n
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<\/section>\n
\u6211\u4eec\u53ef\u4ee5\u8fdb\u4e00\u6b65\u5730\u628a\u5b83\u7b80\u5199\u4e3a\uff1a\uff0c\u5176\u4e2d\u8868\u793a()\u8fd9\u4e09\u4e2a\u7a0b\u5e8f\u7684\u8054\u5408\u7a0b\u5e8f\uff0c\u800c\u5219\u8868\u793a\u8054\u5408\u7a0b\u5e8f\u7684\u6e90\u4ee3\u7801\u3002\u8fd9\u4e2a\u7a0b\u5e8f\u7684\u4f5c\u7528\u662f\u8f93\u51fa\u4e00\u4e2a\u7279\u6b8a\u7684\u5b57\u7b26\u4e32\u201c\u201d\u5373\u7a0b\u5e8f\u8c03\u7528\u81ea\u5df1\u7684\u4ee3\u7801x\u7684\u6e90\u7a0b\u5e8f\uff0c\u6211\u4eec\u79f0\u8fd9\u4e2a\u4e3a\u84af\u6069\u51fd\u6570\u3002<\/section>\n

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\u90a3\u4e48\uff0c\u81ea\u6253\u5370\u7a0b\u5e8f\u4e0d\u662f\u522b\u7684\uff0c\u6b63\u662f\u5c06\u84af\u6069\u51fd\u6570\u81ea\u5df1\u7684\u6e90\u4ee3\u7801\u518d\u5582\u7ed9\u5b83\u81ea\u5df1\uff0c\u8fd9\u6837\u5c31\u4ea7\u751f\u4e86““\u7684\u6548\u679c\u3002<\/strong>\u7b49\u5f0f\u5de6\u8fb9\u662f\u5bf9\u7684\u8ba1\u7b97\uff0c\u662f\u4e00\u4e2a\u52a8\u4f5c\uff0c\u5b83\u7684\u7ed3\u679c\u4ea7\u751f\u4e86\u7b49\u5f0f\u53f3\u8fb9\u7684\u5b57\u7b26\u4e32”“\uff0c\u800c\u8fd9\u4e2a\u5b57\u7b26\u4e32\u6070\u6070\u5c31\u662f\u4f5c\u7528\u4e8e\u7684\u6e90\u4ee3\u7801\u3002\u6211\u4eec\u770b\u5230\uff0c\u7b2c2\u8282\u4e2d\u7684\u84af\u6069\u65b9\u6cd5\u4e0e\u8fd9\u91cc\u7684\u662f\u4e00\u6a21\u4e00\u6837\u7684\u3002\u4ed4\u7ec6\u60f3\u60f3\u4e0d\u96be\u53d1\u73b0\uff0c\u5176\u5b9e\u81ea\u6253\u5370\u7a0b\u5e8f\u7684\u903b\u8f91\u4e0e\u84af\u6069\u8bed\u53e5\u7684\u903b\u8f91\u662f\u76f8\u901a\u7684\u3002\u56e0\u6b64\uff0c\u81ea\u6307\u6070\u6070\u5c31\u9690\u85cf\u5728\u4e86\u8fd9\u6bb5\u81ea\u6253\u5370\u7a0b\u5e8f\u4e4b\u4e2d\u4e86\u3002<\/section>\n

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\u6211\u4eec\u53ea\u8981\u5bf9\u8fd9\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\u7a0d\u52a0\u66f4\u6539\u5c31\u80fd\u521b\u9020\u51fa\u81ea\u6211\u590d\u5236\u7684\u7a0b\u5e8f\u51fa\u6765\u3002\u9996\u5148\uff0c\u6211\u4eec\u8981\u8bf4\u660e\u7a0b\u5e8f\u7684\u81ea\u6211\u590d\u5236\u7a76\u7adf\u662f\u4ec0\u4e48\u610f\u601d\u3002\u5047\u8bbe\u5185\u5b58\u4e2d\u6f02\u6d6e\u7740\u5f88\u591a\u5927\u5927\u5c0f\u5c0f\u7684\u7a0b\u5e8f\uff0c\u67d0\u4e00\u4e2a\u7a0b\u5e8fP\u80fd\u591f\u81ea\u6211\u590d\u5236\u662f\u6307\uff0c\u5f53CPU\u6267\u884c\u5230\u7a0b\u5e8fP\u7684\u65f6\u5019\uff0cP\u5c31\u4f1a\u547d\u4ee4CPU\u6267\u884c\u4e00\u7cfb\u5217\u7684\u64cd\u4f5c\u4f7f\u5f97\u5b83\u81ea\u5df1\u7684\u4e00\u4efd\u62f7\u8d1d\u4f1a\u51fa\u73b0\u5728\u5185\u5b58\u4e2d\u3002\u4f46\u662f\uff0c\u9700\u8981\u5f3a\u8c03\u7684\u662fP\u4e0d\u80fd\u591f\u4ece\u786c\u76d8\u4e0a\u8bfb\u53d6\u6587\u4ef6\uff0c\u5426\u5219\u81ea\u6211\u590d\u5236\u5c06\u53d8\u5f97\u5f02\u5e38\u7b80\u5355\uff0c\u53ea\u8981\u628a\u786c\u76d8\u4e0a\u7684\u6e90\u7a0b\u5e8f\u518d\u8c03\u7528\u5230\u5185\u5b58\u4e2d\u5c31\u884c\u4e86\u3002\u4e4d\u4e00\u770b\uff0c\u8fd9\u4f3c\u4e4e\u4e0e\u81ea\u6253\u5370\u7a0b\u5e8f\u4e00\u6837\u4e0d\u53ef\u80fd\u5b9e\u73b0\u3002\u4f46\u662f\u5229\u7528\u4e0e\u81ea\u6253\u5370\u7a0b\u5e8f\u540c\u6837\u7684\u84af\u6069\u6280\u5de7\uff0c\u6211\u4eec\u4f9d\u7136\u53ef\u4ee5\u5f88\u8f7b\u677e\u5730\u6784\u9020\u51fa\u81ea\u590d\u5236\u7684\u7a0b\u5e8f\u51fa\u6765\u3002<\/section>\n

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\u6211\u4eec\u53ea\u9700\u8981\u628a\u81ea\u6253\u5370\u7a0b\u5e8f()\u4e2d\u7684\u6539\u6210Construct\u5c31\u53ef\u4ee5\u4e86\u3002\u8fd9\u91cc\u7684Construct\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u4f60\u8f93\u5165\u7ed9Construct\u4e00\u6bb5\u7a0b\u5e8f\u7684\u6e90\u4ee3\u7801\uff0c\u5b83\u5c31\u80fd\u628a\u6240\u5bf9\u5e94\u7684\u7a0b\u5e8f\u7f16\u8bd1\u51fa\u6765\u5e76\u9a7b\u7559\u5728\u5185\u5b58\u4e2d\u3002\u8fd9\u6837\uff0c\u7a0b\u5e8f\u5c31\u53ef\u4ee5\u5b8c\u6210\u81ea\u590d\u5236\u529f\u80fd\u3002<\/section>\n

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\u8fdb\u4e00\u6b65\uff0c\u5229\u7528\u540c\u6837\u7684\u903b\u8f91\uff0c\u6211\u4eec\u4e5f\u80fd\u591f\u5236\u9020\u51fa\u53ef\u4ee5\u590d\u5236\u81ea\u8eab\u7684\u771f\u5b9e\u673a\u5668\u3002\u53ea\u8981\u8ba9Construct\u4ee3\u8868\u4ece\u7ed9\u5b9a\u673a\u5668\u7684\u63cf\u8ff0\u800c\u6784\u9020\u51fa\u5b9e\u9645\u673a\u5668\u5c31\u884c\u4e86\u3002\u5728\u51af\u8bfa\u4f9d\u66fc\u7684\u8457\u4f5c\u300a\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7406\u8bba\uff08Theory of Self-reproducing Automata\uff09\u300b\u4e00\u4e66\u4e2d\uff0c\u4f5c\u8005\u8bd5\u56fe\u6784\u5efa\u7684\u81ea\u590d\u5236\u81ea\u52a8\u673a\u5c31\u5305\u62ec\u4e86\u8fd9\u56db\u4e2a\u90e8\u5206\u3002\u5373\u81ea\u590d\u5236\u673a\u5668\u662f\u7531\u4e00\u4e2a\u901a\u7528\u62f7\u8d1d\u673a\uff08Copy\uff09\u3001\u4e00\u4e2a\u901a\u7528\u6784\u9020\u673a\uff08Construct\uff09\u548c\u4e00\u4e2a\u63a7\u5236\u5668\uff08Control\uff09\u4ee5\u53ca\u6240\u6709\u8fd9\u4e09\u53f0\u673a\u5668\u7684\u63cf\u8ff0\u5373\u6e90\u4ee3\u7801\u6784\u6210\u7684\u3002<\/strong><\/section>\n

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\u5728\u6b64\u5c0f\u8282\u4e2d\uff0c\u6211\u4eec\u7528\u81ea\u6253\u5370\u7a0b\u5e8f\u548c\u81ea\u590d\u5236\u7a0b\u5e8f\u4e3a\u4f8b\u6765\u8bf4\u660e\u4e86\u5efa\u6784\u578b\u7684\u81ea\u6307\u3002\u7136\u800c\uff0c\u5efa\u6784\u6027\u7684\u81ea\u6307\u5b9e\u9645\u4e0a\u4e0d\u4ec5\u4ec5\u662f\u8fd9\u4e24\u79cd\uff0c\u5b83\u8fd8\u4f1a\u6709\u5404\u79cd\u5404\u6837\u7684\u7528\u9014\u3002<\/section>\n

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\u5168\u6587\u8bf7\u53c2\u770b\uff1a<\/strong><\/span><\/section>\n
[1] \u96c6\u667a\u767e\u79d1\uff1a\u7cfb\u7edf\u4e2d\u7684\u89c2\u5bdf\u8005(5)\u2014\u2014\u81ea\u6307<\/span><\/section>\n
https:\/\/wiki.swarma.org\/index.php\/\u7cfb\u7edf\u4e2d\u7684\u89c2\u5bdf\u8005(5)\u2014\u2014\u81ea\u6307<\/span>
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\u5ef6\u4f38\u9605\u8bfb\uff1a
\u8bba\u6587\u9898\u76ee\uff1aLarge Language Models Can Self-improve
\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/openreview.net\/forum?id=NiEtU7blzN<\/p>\n

\u8bba\u6587\u9898\u76ee\uff1aSelf-Instruct: Aligning Language Model with Self Generated Instructions
\u8bba\u6587\u94fe\u63a5\uff1a 
https:\/\/arxiv.org\/abs\/2212.10560<\/section>\n
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2022\u5e7411\u670830\u65e5\uff0c\u4e00\u4e2a\u73b0\u8c61\u7ea7\u5e94\u7528\u7a0b\u5e8f\u8bde\u751f\u4e8e\u4e92\u8054\u7f51\uff0c\u8fd9\u5c31\u662fOpenAI\u5f00\u53d1\u7684ChatGPT\u3002\u4ece\u95ee\u7b54\u5230\u5199\u7a0b\u5e8f\uff0c\u4ece\u63d0\u53d6\u6458\u8981\u5230\u8bba\u6587\u5199\u4f5c\uff0cChatGPT\u5c55\u73b0\u51fa\u4e86\u591a\u6837\u5316\u7684\u901a\u7528\u667a\u80fd\u3002\u4e8e\u662f\uff0c\u5fae\u8f6f\u3001\u8c37\u6b4c\u3001\u767e\u5ea6\u3001\u963f\u91cc\u3001\u8baf\u98de\uff0c\u4e92\u8054\u7f51\u5927\u4f6c\u4eec\u7eb7\u7eb7\u6469\u62f3\u64e6\u638c\u51c6\u5907\u5165\u573a\u2026\u2026\u4f46\u662f\uff0c\u8bf7\u5148\u51b7\u9759\u4e00\u4e0b\u2026\u2026 \u73b0\u5728 all in \u5927\u8bed\u8a00\u6a21\u578b\u662f\u5426\u771f\u7684\u5408\u9002\uff1f\u8981\u77e5\u9053\uff0cChatGPT\u7684\u80cc\u540e\u5176\u5b9e\u5c31\u662f\u6df1\u5ea6\u5b66\u4e60+\u5927\u6570\u636e+\u5927\u6a21\u578b\uff0c\u800c\u8fd9\u4e9b\u8981\u7d20\u65e9\u57285\u5e74\u524d\u7684AlphaGo\u65f6\u671f\u5c31\u5df2\u7ecf\u5f00\u59cb\u706b\u70ed\u4e86\u30025\u5e74\u524d\u6ca1\u6709\u6293\u4f4f\u673a\u9047\uff0c\u73b0\u5728\u53c8\u51ed\u4ec0\u4e48\u53ef\u4ee5\u642d\u4e0a\u5927\u8bed\u8a00\u6a21\u578b\u8fd9\u8d9f\u5217\u8f66\u5462\uff1f<\/span><\/section>\n

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\u96c6\u667a\u4ff1\u4e50\u90e8\u7279\u522b\u7ec4\u7ec7\u201c\u540e ChatGPT\u201d\u8bfb\u4e66\u4f1a<\/a>\uff0c\u7531\u5317\u5e08\u5927\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u5f20\u6c5f\u8001\u5e08\u8054\u5408\u8096\u8fbe\u3001\u674e\u5ae3\u7136\u3001\u5d14\u9e4f\u3001\u4faf\u6708\u6e90\u3001\u949f\u7ff0\u5ef7\u3001\u5362\u71da\u7b49\u591a\u4f4d\u8001\u5e08\u5171\u540c\u53d1\u8d77\uff0c\u65e8\u5728\u7cfb\u7edf\u6027\u5730\u68b3\u7406ChatGPT\u6280\u672f\uff0c\u5e76\u53d1\u73b0\u5176\u5f31\u70b9\u4e0e\u77ed\u677f\u3002\u672c\u7cfb\u5217\u8bfb\u4e66\u4f1a\u7ebf\u4e0a\u8fdb\u884c\uff0c2023\u5e743\u67083\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a 19:00-21:00\uff0c\u6b22\u8fce\u62a5\u540d\u4ea4\u6d41\u3002<\/span><\/section>\n

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\u201c\u540e ChatGPT\u201d\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1a\u4ece\u901a\u7528\u4eba\u5de5\u667a\u80fd\u5230\u610f\u8bc6\u673a\u5668<\/span><\/a>
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n
1. <\/strong>\u6d8c\u73b0\u3001\u56e0\u679c\u4e0e\u81ea\u6307\u2014\u2014\u201c\u56e0\u679c\u6d8c\u73b0\u201d\u7406\u8bba\u80fd\u5426\u7834\u89e3\u751f\u547d\u4e0e\u610f\u8bc6\u4e4b\u8c1c<\/strong><\/a><\/section>\n
2. \u4ec0\u4e48\u662f\u81ea\u6307 | \u96c6\u667a\u767e\u79d1<\/strong><\/a><\/strong><\/section>\n
3. \u4ece\u56e0\u679c\u5230\u6d8c\u73b0\uff1a\u8fc8\u5411\u65b0\u4e00\u4ee3\u4eba\u5de5\u667a\u80fd | \u9646\u8d85\u8d85\u535a\u58eb\u8bbf\u8c08<\/strong><\/a><\/strong><\/strong><\/section>\n
4. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
5. \u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/span><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/section>\n
6. \u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n

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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a <\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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