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1\u52a0\u5230100\u7b49\u4e8e5050\uff0c\u7b97\u6cd5\u4e3a\uff081+100\uff09+\uff082+99\uff09+\uff083+98\uff09+\u2026+\uff0850+51\uff09=50\u00d7101=5050\u3002\u4ece1\u52a0\u5230100\u7684\u7b80\u4fbf\u7b97\u6cd5\u4e3a\u5bf9\u6570\u5217\u8fdb\u884c\u91cd\u65b0\u6392\u5217\uff0c\u7ec4\u621050\u4e2a101\u7684\u5f0f\u5b50\uff081+100\uff0c2+99\uff0c3+98\u2026\uff09\uff0c\u5c31\u53ef\u4ee5\u5f97\u52301+2+\u2026+100=50\u00d7101=5050\uff0c\u4e5f\u88ab\u79f0\u4e3a\u9ad8\u65af\u6c42\u548c\u3002<\/p>\n

\u9ad8\u65af\u88ab\u8ba4\u4e3a\u662f\u5386\u53f2\u4e0a\u6700\u91cd\u8981\u7684\u6570\u5b66\u5bb6\u4e4b\u4e00\uff0c\u5e76\u4eab\u6709\u201c\u6570\u5b66\u738b\u5b50\u201d\u4e4b\u79f0\u3002\u9ad8\u65af\u548c\u963f\u57fa\u7c73\u5fb7\u3001\u725b\u987f\u5e76\u5217\u4e3a\u4e16\u754c\u4e09\u5927\u6570\u5b66\u5bb6\u3002\u4e00\u751f\u6210\u5c31\u6781\u4e3a\u4e30\u7855\uff0c\u4ee5\u4ed6\u540d\u5b57\u201c\u9ad8\u65af\u201d\u547d\u540d\u7684\u6210\u679c\u8fbe110\u4e2a\uff0c\u5c5e\u6570\u5b66\u5bb6\u4e2d\u4e4b\u6700\u3002\u4ed6\u5bf9\u6570\u8bba\u3001\u4ee3\u6570\u3001\u7edf\u8ba1\u3001\u5206\u6790\u3001\u5fae\u5206\u51e0\u4f55\u3001\u5927\u5730\u6d4b\u91cf\u5b66\u3001\u5730\u7403\u7269\u7406\u5b66\u3001\u529b\u5b66\u3001\u9759\u7535\u5b66\u3001\u5929\u6587\u5b66\u3001\u77e9\u9635\u7406\u8bba\u548c\u5149\u5b66\u7686\u6709\u8d21\u732e\u3002<\/p>\n

1\u52a0\u5230100\u7b49\u4e8e\u591a\u5c11<\/p>\n

\u6c42\u5e73\u5747\u6570\u7684\u7b97\u6cd5\uff1a1\u5230100\u5171100\u4e2a\u6570\u5b57\uff0c\u800c\u4e14\u4ed6\u4eec\u662f\u7b49\u5dee\u6570\u5217\uff0c\u6240\u4ee5\u53ea\u9700\u8981\u5c061+100\u9664\u4ee52\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u5e73\u5747\u6570\uff0c\u518d\u4e58\u4ee5\u4f4d\u6570\uff0c\u5219\u5f97\u5230\u7ed3\u679c\uff0c\uff081+100\uff09\/2×100=50.5×100=5050<\/p>\n

\u5229\u7528\u7b49\u5dee\u6570\u5217\u7684\u6c42\u548c\u516c\u5f0f\u76f4\u63a5\u6c42\u548c\uff0c\u7b49\u5dee\u6570\u5217\u7684\u516c\u5f0f\u662f\uff1a\uff08\u9996\u9879+\u672b\u9879\uff09x\u9879\u6570\/2\uff0c1\u5230100\u5171100\u4e2a\u6570\uff0c\u9996\u9879\u4e3a1\uff0c\u516c\u5dee\u4e3a1\uff0c\u672b\u9879\u4e3a100\uff0c\u4ee3\u5165\u516c\u5f0f\u5c31\u662f\uff081+100\uff09x100\/2=101×100\/2=10100\/2=5050\u3002<\/p>\n

1\u3001\u5c0f\u5b66\u751f1\u52a0\u5230100\u7684\u7b97\u6cd5<\/p>\n

\u9898\uff1a1+2+3+\u2026+99+100=\uff08 \uff09<\/p>\n

\u5927\u90e8\u5206\u5c0f\u5b66\u751f<\/p>\n

1+2=3<\/p>\n

3+3=6<\/p>\n

6+4=10<\/p>\n

\u2026<\/p>\n

4950+100=5050<\/p>\n

\u7684\u786e\uff0c\u8fd9\u6837\u80fd\u7b97\u51fa\u7b54\u6848\uff0c\u4f46\u662f\u5b58\u5728\u4e24\u4e2a\u660e\u663e\u7684\u95ee\u9898\uff1a<\/p>\n

\u5176\u4e00\uff0c\u5386\u7ecf99\u6b21\u7b97\u6cd5\uff0c\u51fa\u73b0\u8ba1\u7b97\u9519\u8bef\u7684\u51e0\u7387\u589e\u52a0\uff0c\u4e00\u6b65\u9519\uff0c\u6ee1\u76d8\u7686\u8f93\uff1b<\/p>\n

\u5176\u4e8c\uff0c\u8017\u65f6\u957f\uff0c\u5373\u4f7f\u7b97\u51fa\u4e86\u6b63\u786e\u7b54\u6848\uff0c\u5982\u679c\u662f\u5728\u8003\u8bd5\u9047\u5230\uff0c\u90a3\u4e48\u53ef\u80fd\u6ca1\u7b97\u51fa\u7b54\u6848\u5c31\u8981\u4ea4\u5377\u4e86\uff01<\/p>\n

\u6709\u4e9b\u6bd4\u8f83\u61d2\u7684\u6216\u8005\u8bf4\u6bd4\u8f83\u76ae\u7684\u5b66\u751f\uff0c\u53ef\u80fd\u4f1a\u8bf4\u7528\u8ba1\u7b97\u5668\uff08\u6216\u624b\u673a\u91cc\u7684\u8ba1\u7b97\u5668\uff09\uff0c\u6309\u4e00\u6309\u4e0d\u5c31\u51fa\u6765\u4e86\uff0c\u4e0d\u5f97\u4e0d\u8bf4\uff0c\u8fd9\u4e5f\u662f\u4e00\u4e2a\u65b9\u6cd5\uff0c\u4f46\u662f100\u4e2a\u6570\u5b57\u6309\u4e0b\u6765\uff0c\u4e5f\u662f\u633a\u7d2f\u7684\uff0c\u800c\u4e14\u65f6\u95f4\u4e0d\u4e00\u5b9a\u4f1a\u6bd4\u76f4\u63a5\u8ba1\u7b97\u5feb\uff0c\u53ea\u80fd\u8bf4\u8fd9\u7c7b\u5b66\u751f\u5584\u4e8e\u6295\u673a\u53d6\u5de7\uff0c\u4f46\u8fd9\u662f\u4e0d\u826f\u4e60\u60ef\uff0c\u56e0\u4e3a\u4e0d\u52e4\u4e8e\u52a8\u624b\u548c\u52a8\u8111\uff01<\/p>\n

2\u3001\u4e2d\u5b66\u751f1\u52a0\u5230100\u7684\u7b97\u6cd5<\/p>\n

\u9898\uff1a1+2+3+\u2026+99+100=\uff08 \uff09\uff0c\u8981\u6c422\u79cd\u65b9\u6cd5\u4ee5\u4e0a\uff0c\u5e76\u8981\u6c42\u5199\u660e\u8ba1\u7b97\u8fc7\u7a0b<\/p>\n

\u5bf9\u4e8e\u4e2d\u5b66\u751f\uff08\u542b\u521d\u4e2d\u3001\u9ad8\u4e2d\uff09\uff0c\u5927\u90e8\u5206\u4e00\u770b\u5c31\u77e5\u9053\u662f\u7b49\u5dee\u6570\u5217\uff0c\u7136\u540e\u5c31\u7528\u7b49\u5dee\u6570\u5217\u516c\u5f0f\u4ee3\u8fdb\u53bb\u8ba1\u7b97\uff0c\uff08\u9996\u9879+\u672b\u9879 \uff09\u00d7\u9879\u6570\u00f72\u5373\u6709\uff081+100\uff09\u00d7100\u00f72=5050\u6216\u8005\u9879\u6570\u00d7\u9996\u9879+\u9879\u6570\u00d7\uff08\u9879\u6570-1\uff09\u00f72=100\u00d71+100\u00d7\uff08100-1\uff09\u00f72=5050\uff0c\u5927\u90e8\u5206\u5c31\u7528\u8fd92\u79cd\u65b9\u6cd5\u3002<\/p>\n

\u8fd8\u6709\u4e00\u4e9b\u52a8\u8111\u7b4b\u7684\u5b66\u751f\u5c31\u63d0\u51fa\uff0c\u6bcf10\u4e2a\u6570\u4f5c\u4e3a\u4e00\u4e2a\u5468\u671f\uff0c\u6bcf\u4e2a\u5468\u671f\u4e2d\u90fd\u67091\u30012\u30013\u3001\u2026\u30019\u300110\uff0c\u5148\u8ba1\u7b97\u6bcf\u4e00\u4e2a\u5468\u671f\u7684\u548c\uff0c\u518d\u6c42\u548c\u3002<\/p>\n

\u53731+2+3+\u2026+10=55<\/p>\n

11+12+13+\u2026+19+20=10+1+10+2+10+3+\u2026+10+9+10+10=10\u00d710+1+2+3+\u2026+10=155<\/p>\n

21+22+23+\u2026+29+30=20+1+20+2+20+3+\u2026+20+9+20+10=20\u00d710+1+2+3+\u2026+10=255<\/p>\n

\u2026\u2026<\/p>\n

91+92+23+\u2026+99+100=90+1+90+2+90+3+\u2026+90+9+90+10=90\u00d710+1+2+3+\u2026+10=955<\/p>\n

\u6240\u4ee5\u5c31\u4e3a55+155+255+355+\u2026+855+955=5050<\/p>\n

\u540c\u7406\uff0c\u6709\u4e2a\u522b\u540c\u5b66\u5c31\u628a10\u300120\u3001\u2026\u300190\u3001100\u8fd9\u4e9b\u5254\u9664<\/p>\n

\u7b49\u4e8e\u770b\u6210\u670910\u4e2a1+2+3+\u2026+9\u548c10\u4e2a10+20+\u2026+90<\/p>\n

\u8fd9\u79cd\u65b9\u6cd5\u7b49\u4e8e\u5c31\u662f\u81ea\u5df1\u627e\u89c4\u5f8b\uff0c\u5c0f\u5b66\u4e5f\u6709\u627e\u89c4\u5f8b\uff0c\u4f46\u662f\u90fd\u662f\u6bd4\u8f83\u7b80\u5355\u7684\u6570\u5b57\uff0c\u6570\u5b57\u8d8a\u591a\uff0c\u6570\u503c\u8d8a\u5927\uff0c\u8574\u542b\u7684\u89c4\u5f8b\u8d8a\u591a\uff0c\u5230\u4e86\u4e2d\u5b66\uff0c\u601d\u7ef4\u5f00\u62d3\u4e86\uff0c\u81ea\u7136\u4e5f\u5c31\u80fd\u60f3\u51fa\u66f4\u591a\u65b9\u6cd5\u3002<\/p>\n

3\u3001\u5927\u5b66\u751f1\u52a0\u5230100\u7684\u7b97\u6cd5<\/p>\n

\u9898\uff1a1+2+3+\u2026+99+100=\uff08 \uff09<\/p>\n

\uff081\uff09\u75282\u79cd\u65b9\u6cd5\u8ba1\u7b97\uff1b\uff082\uff09\u7ed3\u5408\u9ad8\u7b49\u6570\u5b66\uff0c\u6c42\u6781\u9650\uff1b\uff083\uff09\u8bbe\u8ba1\u4e00\u4e2a\u6570\u5b66\u6a21\u578b\uff1b\uff084\uff09\u7f16\u5199\u4e00\u4e2a\u7a0b\u5e8f\uff0c\u5bf9\u4e8e1+2+3+\u2026+n\uff0c\u628an\u4ece100\u523010000\u7684\u7ed3\u679c\u751f\u6210\u5728\u4e00\u4e2a\u6587\u6863\u4e2d\u3002<\/p>\n

\u5230\u4e86\u5927\u5b66\uff0c\u5355\u7eaf\u8ba1\u7b97\u8fd9\u4e2a\u7b54\u6848\u5df2\u7ecf\u4e0d\u662f\u4ed6\u4eec\u7684\u76ee\u7684\u4e86\uff0c\u4ed6\u4eec\u65e8\u5728\u8ba1\u7b97\u51fa\u8fd9\u4e2a\u7b54\u6848\u7684\u65b9\u6cd5\uff0c\u4ee5\u53ca\u5ef6\u4f38\u51fa\u7684\u6570\u5b66\u77e5\u8bc6\u548c\u6570\u5b66\u5e94\u7528\uff0c\u5982\u679c\u8981\u9891\u7e41\u8ba1\u7b971\u52a0\u5230100\u4e43\u81f31000\u7b49\u7684\u7b54\u6848\uff0c\u90a3\u4e48\u7f16\u4e2a\u7a0b\u5e8f\uff0c\u53ef\u80fd\u7b54\u6848\u5c31\u90fd\u51fa\u6765\u4e86\uff0c\u7b97\u90fd\u4e0d\u7528\uff1b\u4e07\u4e00\u8fd9\u4e2a\u4e0d\u662f1\u52a0\u5230100\u5462\uff0c\u662f\u5230\u65e0\u7a77\u5927\u5462\uff0c\u8fd9\u4e2a\u7b54\u6848\u53ef\u80fd\u5c31\u6d89\u53ca\u5230\u7ea7\u6570\u548c\u79ef\u5206\u4e86\u3002<\/p>\n

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\u5f53\u7136\uff0c\u5bf9\u4e8e\u4e00\u4e9b\u5b66\u751f\u90fd\u662f\u5355\u7eaf\u7ed9\u51fa\u4e00\u4e2a\u98981+2+3+\u2026+99+100=\uff08 \uff09\uff0c\u5f97\u51fa\u7684\u7ed3\u8bba\u53ea\u6709\u4e00\u4e2a\u505a\u9898\u7684\u901f\u5ea6\u5dee\u522b\u800c\u5df2\uff1b\u4f46\u662f\u5728\u8c03\u67e5\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e5f\u53d1\u73b0\u4e00\u4e9b\u5b66\u751f\uff0c\u5373\u4f7f\u662f\u5927\u5b66\u751f\uff0c\u601d\u7ef4\u4e5f\u6bd4\u8f83\u6b7b\u677f\uff0c\u8fd9\u5c31\u4e0e\u5b66\u4e60\u4e60\u60ef\u6709\u5f88\u5927\u7684\u5173\u7cfb\uff0c\u5f53\u7136\uff0c\u6709\u4e9b\u5b66\u751f\u662f\u7eaf\u7cb9\u7684\u61d2\u800c\u5df2\u3002<\/p>\n

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