{"id":6667,"date":"2016-12-14T21:53:41","date_gmt":"2016-12-14T21:53:41","guid":{"rendered":"http:\/\/www.worldofmastermind.com\/?p=6667"},"modified":"2017-04-21T13:47:42","modified_gmt":"2017-04-21T13:47:42","slug":"20%e6%a2%9d%e8%b6%a3%e5%91%b3%e6%95%b8%e5%ad%b8%e5%95%8f%e9%a1%8c%e5%8f%8a%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.worldofmastermind.com\/?p=6667","title":{"rendered":"21\u689d\u8da3\u5473\u6578\u5b78\u554f\u984c\u53ca\u89e3\u7b54"},"content":{"rendered":"

\u4e00\u3001\u524d\u8a00<\/strong><\/span>
\u4fe1\u5805\u8fd1\u5341\u5e74\u4f86\u4fee\u884c\uff0c\u9996\u5728\u7531\u5b9a\u958b\u6167\uff0c\u6709\u667a\u6167\u5c31\u80fd\u89e3\u6c7a\u4e00\u5207\u554f\u984c\u3002\u6709\u667a\u6167\u5c31\u80fd\u6df1\u5165\u4fe1\u89e3\u4e00\u771f\u6cd5\u754c\uff0c\u8af8\u6cd5\u5be6\u76f8\u3002\u89e3\u609f\u4e86\u8af8\u6cd5\u5be6\u76f8\uff0c\u5c31\u77e5\u842c\u6cd5\u552f\u5fc3\uff0c\u4e00\u5207\u6cd5\u552f\u5fc3\u6240\u73fe\uff0c\u552f\u8b58\u6240\u8b8a\u3002\u5c31\u77e5\u842c\u7269\u4e00\u9ad4\uff0c\u5c31\u80fd\u4e00\u4ee5\u8cab\u4e4b\u3002\u4e00\u7d93\u901a\uff0c\u4e00\u5207\u7d93\u901a\uff0c\u4e00\u6cd5\u901a\uff0c\u4e00\u5207\u6cd5\u901a\u3002<\/strong><\/p>\n

\u56e0\u6b64\uff0c\u56db\u5e74\u4f86\uff0c\u4fe1\u5805\u5c0d\u4e00\u4e58\u4f5b\u7d93\u7fa9\u7406\uff0c\u6709\u6240\u89e3\u609f\u4e4b\u5f8c\uff0c\u5c31\u4ee5\u6b64\u66f4\u6df1\u5ee3\u4fe1\u89e3\uff0c\u9996\u5148\u56de\u982d\uff0c\u5feb\u901f\u770b\u5b8c\u8001\u838a\uff0c\u518d\u770b\u56db\u66f8\u4e94\u7d93\u3002\u8fd1\u5e7e\u500b\u6708\u4f86\uff0c\u53c8\u518d\u4ee5\u6b64\u8af8\u6cd5\u5be6\u76f8\uff0c\u842c\u6cd5\u4e00\u9ad4\u7684\u89c0\u9ede\uff0c\u56de\u9996\u91cd\u770b\u4fe1\u5805\u672c\u884c\uff0c\u9ad8\u80fd\u7269\u7406\uff0c\u7d71\u4e00\u5834\u8ad6\uff0c\u8d85\u5f26\u7406\u8ad6\uff0c\u91cf\u5b50\u529b\u5b78\uff0c\u76f8\u5c0d\u8ad6\uff0c\u5929\u6587\u7269\u7406\uff0c\u5b87\u5b99\u8ad6\u3002<\/strong>\u56e0\u6b64\u5f35\u8cbc\u4e86\u4e09\u7bc7\u6709\u95dc\u6642\u9593\u3001\u53ca\u6700\u65b0\u7684\u5b87\u5b99\u81a8\u8139\u6a21\u578b\u7684\u79d1\u666e\u6587\u7ae0\u3002\u6709\u6642\u9593\u4e5f\u6703\u518d\u5f35\u8cbc\u4e00\u7bc7\u5168\u606f\u5b87\u5b99\u8ad6\u3002<\/strong><\/p>\n

\u4fee\u884c\u81f3\u4e00\u6bb5\u843d\u5f8c\uff0c\u6cd5\u6cd5\u90fd\u662f\u4fee\u884c\u6cd5\u9580\u3002\u8fd1\u5e7e\u500b\u79ae\u62dc\uff0c\u56e0\u5b6b\u5b50 \u7d18\u71c1\u5148\u751f \u56e0\u7de3\uff0c\u53c8\u56de\u9996\u91cd\u6eab\u820a\u5922\uff0c\u4ee5\u65b0\u898b\u89e3\u8a8d\u77e5\uff0c\u91cd\u89e3\u4e00\u4e9b\u5c0f\u5b78\u81f3\u9ad8\u4e2d\u7684\u6578\u5b78\u554f\u984c\u3002\u6b64\u6587\u662f\u6536\u96c6\u4e00\u4e9b\u6709\u8da3\u6578\u5b78\u554f\u984c\uff0c\u52a0\u4e0a\u89e3\u984c\u7684\u601d\u7dad\u65b9\u6cd5\u3002\u554f\u984c\u5206\u5c0f\u5b78\u3001\u521d\u4e2d\u3001\u9ad8\u4e2d\u7a0b\u5ea6\uff0c\u7531\u6613\u5165\u96e3\u3002<\/strong><\/p>\n

\u89e3\u7b54\u6578\u5b78\u554f\u984c\uff0c\u53ef\u8a13\u7df4\u591a\u65b9\u9762\u601d\u7dad\u89c0\u5bdf\u7684\u80fd\u529b\u3002\u6700\u4e3b\u8981\u7684\u6311\u6230\u662f\u5c0d\u65bc\u6bcf\u984c\uff0c\u4f60\u80fd\u627e\u51fa\u5e7e\u7a2e\u89e3\u6cd5\uff0c\u540c\u6642\u4e5f\u80fd\u627e\u51fa\u6700\u7c21\u55ae\u7684\u89e3\u6cd5\uff0c\u53ca\u4e00\u822c\u5b9a\u5f8b\uff0c<\/strong>\u624d\u662f\u9ad8\u624b\u3002<\/strong><\/p>\n

\u4e8c\u3001\u5c0f\u5b78\u73ed\u554f\u984c<\/strong><\/span><\/p>\n

\u3010\u554f\u984c1\u3011\u56db\u500b\u5b69\u5b50<\/b><\/strong><\/span>
\u6709\u56db\u500b\u5b69\u5b50\uff0c\u6070\u597d\u4e00\u500b\u6bd4\u53e6\u4e00\u500b\u5927\u4e00\u6b72\uff0c\u4ed6\u5011\u7684\u5e74\u9f61\u76f8\u4e58\u7b49\u65bc3024\u3002\u7b97\u4e00\u7b97\u9019\u56db\u500b\u5b69\u5b50\u7684\u5e74\u9f61\u662f\u591a\u5c11\uff1f<\/strong> <\/p>\n

1a. \u5206\u89e3\u6cd5
3024 = 2x2x2x2x3x3x3x7 = 6x7x8x9<\/strong>
[\u8981\u5c073024\u5206\u89e3\u6210\u56db\u5206\uff0c\u6700\u597d\u7684\u65b9\u6cd5\u662f\u627e\u51fa\u6700\u5c0f\u4e58\u6578\u30027 \u7d66\u65bc\u89e3\u6b64\u554f\u984c\u91cd\u8981\u63d0\u793a\u3002]<\/strong><\/p>\n

1b. \u5217\u8868\u65b9\u6cd5<\/strong>
1234\u00a0\u00a0\u00a0 2345\u00a0\u00a0 3456\u00a0\u00a0\u00a0 4567\u00a0\u00a0\u00a0\u00a0 5678\u00a0\u00a0\u00a0\u00a0 6789<\/span><\/strong>
\u00a0 24\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 120\u00a0\u00a0\u00a0\u00a0\u00a0360\u00a0\u00a0\u00a0\u00a0 840\u00a0\u00a0\u00a0\u00a0\u00a0 1680\u00a0\u00a0\u00a0\u00a0 3024<\/span><\/strong><\/p>\n

1c. \u6700\u7c21\u55ae\u7684\u4e00\u822c\u89e3\u6cd5\u662f:<\/strong>
(3024)1\/4<\/span><\/sup> =7.4\u00a0 => \u56e0\u6b64\u7b2c\u4e8c\u500b\u5b69\u5b50\u662f 7 \u6b72. \u6240\u4ee5\u7b54\u6848\u662f 6, 7, 8, 9.<\/strong><\/p>\n

1d. \u4e00\u822c\u516c\u5f0f<\/strong>
\u5982\u679c\u6709 n \u500b\u76f8\u9023\u7684\u6b63\u6574\u6578\uff0c\u5176\u4e58\u7a4d\u662f N,\u00a0\u5247\u6b64\u6578\u5217\u7684\u7b2c [n\/2] \u6578\u5b57\u662f [N1\/n<\/span><\/sup>]\u3002\u00a0 <\/strong>
( \u8a3b: [n\/2], \u00a0[N<\/b>1\/n<\/b><\/span><\/span><\/sup>]\u00a0<\/b> \u7684\u5b9a\u7fa9\u662f n\/2, N<\/b>1\/n<\/b><\/span><\/span><\/sup>\u00a0<\/b>\u7684\u6574\u6578\u503c)\u3002<\/strong><\/p>\n

\u8b6c\u5982\uff0c<\/strong>
n=4, N=43680, \u5247 [N1\/4<\/span><\/sup>]=[14.46]=14. \u56e0\u6b64, [n\/2]=2, \u7b54\u6848\u662f 13, 14, 15, 16.<\/strong>
n=5, N=1028160\uff0c\u5247 [N1\/5<\/span><\/sup>] = [14.93] = 14. \u56e0\u6b64, [n\/2] = [2.5] = 2,<\/strong>
\u6b64\u4e94\u4f4d\u6578\u662f 13, 14, 15, 16, 17.<\/strong>
n=7, N=1663200\uff0c\u5247 [N1\/7<\/span><\/sup>] = [7.74] = 7. \u56e0\u6b64, [n\/2] = [3.5] = 3<\/strong>
\u6b64\u4e03\u4f4d\u6578\u662f 5, 6, 7, 8, 9, 10, 11.<\/strong>
n=9, N=79833600\uff0c\u5247 [N1\/9<\/span><\/sup>] = [7.55] = 7. \u56e0\u6b64, [n\/2] = [4.5] = 4,<\/strong>
\u6b64\u4e5d\u4f4d\u6578\u662f 4, 5, 6, 7, 8, 9, 10, 11, 12.<\/strong><\/p>\n

\u3010\u554f\u984c2\u301121\u6876\u6cb9\u7684\u5206\u6cd5<\/strong><\/span>
\u4f9b\u92b7\u793e\u904b\u4f8621\u6876\u6cb9\u3002\u5176\u4e2d7\u6876\u662f\u6eff\u7684\uff0c7\u6876\u662f\u534a\u6876\uff0c \u9084\u67097\u6876\u662f\u7a7a\u7684\u3002\u8acb\u554f\u5982\u4f55\u5c07\u5b83\u5011\u5206\u6210\u4e09\u7b49\u5206?<\/strong><\/p>\n

\u89e3\u984c\u91cd\u9ede\u63d0\u793a\u5728\u65bc3, 7, 21 \u4e4b\u9593\u95dc\u806f: 21 = 3 x 7, or 3 = 21\/7.<\/strong>
\u7e3d\u5171 7×2+7+0 = 21\u534a\u6876. (\u5168\u6876\u662f\u5169\u500b\u534a\u6876) => \u6bcf\u500b\u4ee3\u92b7\u5546\u5206\u4e03\u500b\u534a\u6876\u6cb9<\/strong>
[\u7b54\u6848\u662f: \u4e8c\u6eff\u6876\u4e09\u534a\u6876\u4e8c\u7a7a\u6876\uff0c\u4e8c\u6eff\u6876\u4e09\u534a\u6876\u4e8c\u7a7a\u6876\uff0c\u53ca\u4e09\u6eff\u6876\u4e00\u534a\u6876\u4e09\u7a7a\u6876\u3002]<\/strong><\/p>\n

\u6eff\u6876\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 2\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 3<\/strong>
\u534a\u6876\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 3\u00a0\u00a0 \u00a0 1<\/strong>
\u7a7a\u6876\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 3<\/strong>
_______________________<\/strong>
\u7e3d\u5171\u534a\u6876\u6578\u00a0\u00a0\u00a0\u00a07\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 7<\/strong><\/p>\n

\u3010\u554f\u984c3\u3011\u5b6b\u5b50\u554f\u984c <\/strong><\/span>
(\u539f\u6587) : \u4eca\u6709\u7269\u4e0d\u77e5\u5176\u6578, \u4e09\u4e09\u6578\u4e4b\u5269\u4e8c, \u4e94\u4e94 \u6578\u4e4b\u5269\u4e09, \u4e03\u4e03\u6578\u4e4b\u5269\u4e8c, \u554f\u7269\u5e7e\u4f55? (\u767d\u8a71\u7ffb\u8b6f): \u6709\u4e00\u5806\u6771\u897f, \u4e0d\u77e5\u9053\u6709\u5e7e\u500b\uff0c\u5982\u679c\u4e09\u500b\u4e09\u500b\u53bb\u6578, \u5269\u9918\u4e8c\u500b; \u4e94\u500b\u4e94\u500b\u53bb\u6578, \u5269\u9918\u4e09\u500b; \u4e03\u500b\u4e03\u500b\u53bb\u6578, \u5269\u9918\u4e8c\u500b; \u554f\u6b64\u7269\u7684\u7e3d\u5171\u6578\u76ee\u662f\u591a\u5c11?<\/strong><\/p>\n

3a. \u5217\u8868\u89e3\u6cd5:<\/strong>
n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0 9<\/strong>
3n+2\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0 8\u00a0\u00a0 11\u00a0 14\u00a0\u00a0\u00a017\u00a0\u00a0 20\u00a0\u00a0 23<\/span>\u00a0\u00a0 26\u00a0\u00a0 29<\/strong>
5n+3\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0 13\u00a0 18\u00a0\u00a0 23\u00a0<\/span> 28\u00a0\u00a0 26<\/strong>
7n+2\u00a0\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0 16\u00a0\u00a0 23<\/span>\u00a0\u00a0 30\u00a0 37<\/strong>
\u7b54\u6848\u6709\u7121\u9650\u591a: 105n+23 = 23, 128, 233, 338, 443, 547 \u2026. , n \u662f\u6b63\u6574\u6578\u3002<\/strong><\/p>\n

3b. \u53e6\u4e00\u53e4\u4ee3\u7b97\u7d93\u7b97\u6cd5: \u89e3\u6b64\u7a2e\u554f\u984c\u7684\u4e00\u822c\u516c\u5f0f\u662f<\/strong>
N = 3x5x7 n + A, where A = 3x5a +5x7b+3x7c = 15×2+35+21×3 = 128<\/strong>
A\u00f77 \u9918 2 => a =2<\/strong>
A\u00f73 \u9918 2 => b= 1<\/strong>
A\u00f75\u9918 3 => c= 3<\/strong>
\u56e0\u6b64\uff0cA = 105n + 128 > 0 \u90fd\u662f\u7b54\u6848 \u3002<\/strong> \u6700\u5c0f\u503c\u662f 23, (when n = -1).<\/strong><\/span><\/p>\n

3c. \u5176\u5be6\uff0c\u9019\u89e3\u6cd5\u4e5f\u592a\u8907\u96dc\u4e86\uff0c\u53e6\u4e00\u500b\u6700\u7c21\u55ae\u7684\u89e3\u6cd5\u662f:<\/strong>
A = 3x7n+2 \u6eff\u8db333\u6578\u8207 77\u6578\u7684\u689d\u4ef6\u3002\u7576n=1\u6642\uff0cA= 23<\/span> \u4e5f\u540c\u6642\u6eff\u8db355\u6578\u7684\u689d\u4ef6\u3002\u56e0\u6b64 \u7b54\u6848\u662f 105n+23, \u59823a.<\/strong><\/p>\n

3d.\u4e00\u822c\u89e3\u6cd5<\/strong>
\u6709\u4e00\u5806\u6771\u897f, \u4e0d\u77e5\u9053\u6709\u5e7e\u500b N\uff0c\u5982\u679c3\u500b\u53bb\u6578, \u5269\u9918 k<\/span>1<\/span><\/sub> \u500b; 5\u500b\u53bb\u6578, \u5269\u9918 k<\/span>2<\/span><\/sub> \u500b; 7\u500b\u53bb\u6578, \u5269\u9918 k<\/span>3<\/span><\/sub> \u500b; \u554f\u6b64\u7269\u7684\u7e3d\u5171\u6578\u76ee\u662f\u591a\u5c11?<\/strong><\/p>\n

N = 3x5x7n+A = 105n+A,<\/strong>
A=3x5a+5x7b+3x7c= (14+1)a +(36-1)b +(20+1)c <\/strong>
==>\u00a0 <\/strong>a=k<\/span>3<\/span><\/sub> , b=-k<\/span>1<\/span><\/sub>, c=k<\/span>2\u00a0 <\/span><\/sub><\/strong>
==>\u7b54\u6848\u662f\u00a0 N=105n+A\uff0c\u00a0A=15k3<\/span><\/sub> -35 k<\/b>1<\/b><\/span><\/sub> <\/b> + 21k2<\/span><\/sub><\/span><\/strong><\/p>\n

\u4f8b\u5b50:<\/strong>
\u6b64\u984c\uff0ck<\/span>1<\/span><\/sub>=2, k<\/span>2<\/span><\/sub>=3, k<\/span>3<\/span><\/sub>=2, ==> A = 23<\/strong>
==> N = 105n + 23 = 23,128,233, 338, 443 \u2026<\/strong><\/p>\n

\u82e5 k<\/span>1<\/span><\/sub>=2, k<\/span>2<\/span><\/sub>= 3, k<\/span>3<\/span><\/sub>=4, ==> A = 53<\/strong>
==> N = 105n + 53 = 53,158,263, 368, 473 \u2026<\/strong><\/p>\n

\u82e5 k<\/span>1<\/span><\/sub>=1, k<\/span>2<\/span><\/sub>=3, k<\/span>3<\/span><\/sub>= 1\u00a0\u00a0 ==> A = 43<\/strong>
==> N = 105n + 43 = 43,148,253, 358, 463 \u2026<\/strong><\/p>\n

\u3010\u554f\u984c4\u3011\u97d3\u4fe1\u9ede\u5175<\/span>
\u6bcf8\u4eba\u4e00\u968a\u62167\u4eba\u4e00\u968a\u90fd\u99181\u4eba, \u6bcf5\u4eba\u4e00\u968a\u99182, \u5df2\u77e5\u5175\u54e1\u7565\u591a\u65bc\u5169\u5343\u4eba, \u554f: \u97d3\u4fe1\u6709\u591a\u5c11\u5175\u54e1?<\/strong><\/p>\n

4a. \u5217\u8868\u89e3\u6cd5<\/strong>
n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a04\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a07\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0 10\u00a0\u00a0 11\u00a0\u00a0 12\u00a0\u00a0 13\u00a0<\/span><\/strong>
x=5n+2\u00a0\u00a0\u00a0 7\u00a0 12\u00a0 17\u00a0\u00a0\u00a0 22\u00a0 27\u00a0\u00a0\u00a032\u00a0\u00a0 37\u00a0\u00a0 42\u00a0\u00a0 47\u00a0\u00a0 52\u00a0<\/span>\u00a0<\/span> 57\u00a0\u00a0<\/span> 62\u00a0\u00a0 67\u00a0<\/strong>
x=7n+1\u00a0\u00a0\u00a0 8\u00a0 15\u00a0\u00a0 22\u00a0\u00a0 29\u00a0 36\u00a0\u00a0\u00a043\u00a0\u00a0 50\u00a0\u00a0\u00a0 57<\/span>\u00a0\u00a064<\/strong>
x=8n+1\u00a0\u00a0\u00a0 9\u00a0 17\u00a0\u00a0 25\u00a0\u00a0 33\u00a0 41\u00a0\u00a0\u00a049\u00a0\u00a0 57<\/span>\u00a0\u00a0\u00a0 65<\/strong>
5x7x8=280 ==> \u4e00\u822c\u7684\u7b54\u6848\u662f 280n +57.<\/strong>
\u82e5 280n+ 57 > 2000 ==> \u6700\u5c0f\u7684n \u662f 7\uff0c\u7e3d\u5175\u54e1\u662f 280×7 + 57 = 2017.<\/strong><\/p>\n

4b. \u7b97\u7d93\u89e3\u6cd5:<\/strong>
\u7e3d\u5175\u54e1\u662f280n+A,<\/strong>
where A = 8x5xa + 5x7xb + 7x8xc = 7x8x2+ 8x5x3 + 5x7x3 = 337<\/strong>
\u7531\u9664\u4ee5\uff18\u9918\uff11\uff0c\u5f97\uff41\uff1d\uff13.\u9664\u4ee5\uff17\u9918\uff11\uff0c\u5f97\uff42\uff1d\uff13. \u9664\u4ee5\uff15\u9918\uff12\uff0c\u5f97\uff43\uff1d\uff12.<\/strong>
280n+337 > 2000 ==> n = 6\uff0c\u7e3d\u5175\u54e1\u662f280n+A = 280 x 6 + 337 = 2017<\/strong>
[For n=-1\uff0c smallest number is -280+337 = 57.]<\/strong><\/p>\n

4c.\u6700\u7c21\u55ae\u89e3\u6cd5<\/strong><\/span>
A = 8x7n+1 \u6eff\u8db388\u6578\u8207 77\u6578\u7684\u689d\u4ef6\u3002\u7576 n=1\u6642\uff0c A=57 \u4e5f\u540c\u6642\u4e5f\u6eff\u8db355\u6578\u7684\u689d\u4ef6\u3002\u518d\u59824a, 280n+ 57 > 2000 ==> \u6700\u5c0f\u7684n \u662f 7\uff0c\u7e3d\u5175\u54e1\u662f 280×7 + 57 = 2017.<\/strong><\/span><\/p>\n

4d. \u4e00\u822c\u89e3\u6cd5<\/strong>
\u97d3\u4fe1\u7e3d\u5175\u54e1N \u6700\u63a5\u8fd1 2000\uff0c88\u6578\u5269 k<\/span>1<\/span><\/sub>, 77\u6578\u5269 k<\/span>2<\/span><\/sub>, 55\u6578\u5269k<\/span>3<\/span><\/sub>, \u554f\u97d3\u4fe1\u7e3d\u5175\u54e1N\u662f\u591a\u5c11?<\/strong>
N = 8x7x5n+A,\u00a0 <\/strong>A = 8x5xa + 5x7xb +7x8xc<\/strong>
8x5xa =35a+5a =7m<\/span>1<\/span><\/sub>+k<\/span>2<\/span><\/sub>, 5a=k<\/span>2<\/span><\/sub>+7p1 <\/sub>=> p<\/span>1<\/span><\/sub>=-3k<\/span>2<\/span><\/sub>, 2k<\/span>2<\/span><\/sub><\/strong>
=> a= -4k<\/span>2<\/span><\/sub>, 3k<\/span>2<\/span><\/sub><\/strong>
5x7xb =32b+3b= 8m<\/span>2<\/span><\/sub>+k<\/span>1<\/span><\/sub>, 3b=k<\/span>1<\/span><\/sub>+8p<\/span>2<\/span><\/sub>=> p<\/span>2<\/span><\/sub>= -2k<\/span>1<\/span><\/sub>,k<\/span>1<\/span><\/sub><\/strong>
=> b = -5k<\/span>1<\/span><\/sub>, 3k<\/span>1<\/span><\/sub><\/strong>
8x7xc = 55c+c =5m<\/span>3<\/span><\/sub>+k<\/span>3<\/span><\/sub>, c=k<\/span>3<\/span><\/sub>+5p<\/span>3<\/span><\/sub> => p<\/span>3<\/span><\/sub>= –k<\/span>3<\/span><\/sub>,0,k<\/span>3<\/span><\/sub>=><\/strong>
c= -4k<\/span>3<\/span><\/sub>, k<\/span>3<\/span><\/sub>, 6k3<\/span><\/sub>,<\/span><\/strong>
==> A = -160k2<\/span><\/sub>+105k1<\/span><\/sub>+56k3<\/span><\/sub><\/span><\/strong><\/p>\n

\u8209\u4f8b:<\/strong>
k<\/span>1<\/span><\/sub>=1, k<\/span>2<\/span><\/sub>,k<\/span>3<\/span><\/sub>=1 => A=281, N=280n+281=1,281,561,841,1121,1401,1681,1961<\/span>,2241<\/strong>
k<\/span>1<\/span><\/sub>=1,k<\/span>2<\/span><\/sub>, k<\/span>3<\/span><\/sub>=2 => A=57, N=280n+337=57,337,617,1457,1737,2017<\/span><\/strong>
k<\/span>1<\/span><\/sub>=3, k<\/span>2<\/span><\/sub>,k<\/span>3<\/span><\/sub>=3 => A=163, N=280n+163=163,443,723,1283,1563,1843,2123<\/span><\/strong><\/p>\n

\u3010\u554f\u984c5\u3011: \u90a3\u4e00\u865f\u968a\u54e1\u6700\u5f8c\u96e2\u958b<\/strong><\/span>
1-50\u865f\u904b\u52d5\u54e1\u6309\u9806\u5e8f\u7ad9\u4e00\u6392\uff0c\u300c\u4e00\u3001\u4e8c\u300d\u5831\u6578\uff0c\u968a\u9577\u8b93\u5831\u55ae\u6578\u7684\u904b\u52d5\u54e1\u96e2\u958b\u968a\u4f0d\u3002\u5269\u4e0b\u7684\u968a\u54e1\u518d\u91cd\u65b0\u5831\u6578\uff0c\u65b0\u7684\u55ae\u6578\u53c8\u96e2\u958b\u4e86\u968a\u4f0d\u3002\u8acb\u554f\uff0c\u54ea\u865f\u904b\u52d5\u54e1\u6700\u5f8c\u96e2\u958b\uff1f<\/strong><\/p>\n

5a. \u5217\u8868\u6cd5:<\/strong>
\u7b2c\u4e00\u6b21\u5269: 2, 4, 6 \u2026 48, 50 (2\u7684\u500d\u6578)<\/strong>
\u7b2c\u4e8c\u6b21\u5269: 4, 8 , 12, \u2026 44, 48 (4\u7684\u500d\u6578)<\/strong>
\u7b2c\u4e09\u6b21\u5269: 8, 16, 24, \u2026 40, 48 (8\u7684\u500d\u6578)<\/strong>
\u7b2c\u56db\u6b21\u5269: 16, 32, 48 (16\u7684\u500d\u6578)<\/strong>
\u7b2c\u4e94\u6b21\u5269: 32<\/span> (\u7b54\u6848)<\/strong><\/p>\n

5b.\u4ee3\u6578\u6cd5<\/strong>
\u7b54\u6848\u662f 2n<\/span><\/sup>, \u6eff\u8db3 2<\/b>n<\/b><\/span><\/sup>\u00a0<\/span><\/sup><\/span><50\u00a0\u7684\u6700\u5927\u6578\u76ee ==>\u00a0 n=5, 25<\/span><\/sup><\/b>= 32.<\/strong>
[\u4fe1\u5805\u8a3b<\/span>: \u4e0a\u984c\u5982\u6539\u6210: \u6709 1000 \u904b\u52d5\u54e1\u6392\u6210\u4e00\u5217\uff0c\u90a3\u865f\u904b\u52d5\u54e1\u6700\u5f8c\u96e2\u958b?<\/strong>
\u7b54\u6848\u662f <\/strong>2<\/span>9 <\/span><\/sup>= 512.]<\/strong><\/p>\n

\u3010\u554f\u984c6\u3011\u9ed1\u767d\u68cb\u5b50\u6578\u76ee<\/strong><\/span>
\u6709\u9ed1\u767d\u68cb\u5b50\u4e00\u5806\uff0c\u9ed1\u5b50\u662f\u767d\u5b50\u76842\u500d\uff0c\u73fe\u5728\u5f9e\u5806\u5167\u6bcf\u6b21\u53d6\u51fa\u9ed1\u5b504\u500b\uff0c\u767d\u5b503\u500b\uff0c\u7b49\u5230\u5e7e\u6b21\u5f8c\uff0c\u767d\u5b50\u5df2\u76e1\u800c\u9ed1\u5b50\u9084\u991816\u500b\uff0c\u6c42\u9ed1\u767d\u68cb\u5b50\u5404\u591a\u5c11\uff1f<\/strong><\/p>\n

6a. \u5217\u8868\u89e3\u6cd5<\/strong>
\u5047\u8a2d\u8981\u62bd n \u6b21\uff0c\u5247\u9ed1\u5b50\u7e3d\u6578\u76ee\u662f 4n+ 16\uff0c\u767d\u5b50\u7e3d<\/strong>\u6578\u76ee\u662f 3n<\/strong>
\u62bd\u7684\u6b21\u6578\u00a0\u00a0 n\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0 \u00a06\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0\u00a0 8<\/span><\/strong>
White\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3n\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0 9\u00a0\u00a0 12\u00a0\u00a0 15\u00a0\u00a0 18\u00a0\u00a0 21\u00a0\u00a0\u00a0 24<\/span><\/strong>
Black\u00a04n+16\u00a0\u00a0 20\u00a0 24<\/span>\u00a0\u00a028\u00a0 32\u00a0\u00a0 36\u00a0\u00a0 40\u00a0\u00a0 44\u00a0\u00a0\u00a0 48<\/span><\/strong><\/p>\n

6b.\u4ee3\u6578\u89e3\u6cd5<\/strong>
4n+16 = 2x3n ==> n=8. \u56e0\u6b64\u9ed1\u5b50\u6578\u76ee= 4×8+16= 48, \u767d\u5b50\u6578\u76ee= 3×8= 24.]<\/strong><\/p>\n

\u3010\u554f\u984c7\u3011\u5e7e\u672c\u66f8<\/span><\/strong>
\u5c0f\u7d05\u3001\u5c0f\u864e\u3001\u5c0f\u82b3\u548c\u5c0f\u83ef\uff14\u500b\u5b69\u5b50\u5171\u6709 45\u672c\u66f8\uff0c\u4f46\u662f\u4e0d\u77e5\u9053\u6bcf\u4eba\u5404\u6709\u5e7e\u672c\u3002\u5982\u679c\u8b8a\u52d5\u4e00\u4e0b\uff1a\u5c0f\u7d05\u7684\u6e1b\uff12\u672c\uff0c\u5c0f\u864e\u7684\u52a0\uff12\u672c\uff0c\u5c0f\u82b3\u7684\u589e\u52a0\u4e00\u500d\uff0c\u5c0f\u83ef\u7684\u6e1b\u5c11\u4e00\u534a\uff0c\u90a3\u9ebc\uff14\u500b\u662f\u500b\u5b69\u5b50\u7684\u66f8\u672c\u5c31\u4e00\u6a23\u591a\u3002\u8acb\u4f60\u7b97\u4e00\u7b97\uff0c\u6bcf\u500b\u5b69\u5b50\u5404\u6709\u5e7e\u672c\u66f8\uff1f<\/strong><\/p>\n

7a. \u4ee3\u6578\u89e3\u6cd5<\/strong>
\u5047\u8a2d \u5c0f\u7d05\u6709 X \u672c\u66f8\uff0c\u5247 X-2 = \u5c0f\u864e+2 = 2\u5c0f\u82b3 = \u5c0f\u83ef\/2<\/strong>
==> \u5c0f\u864e =X-4,\u00a0\u00a0 \u5c0f\u82b3= (X-2)\/2,\u00a0\u00a0\u00a0 \u5c0f\u83ef=2(X-2)<\/span><\/strong>
\u56db\u4eba\u7684\u7e3d\u548c\u00a0 45= X + (X-4) +(X-2)\/2 +2(X-2) = 9X\/2 – 9 ==> X = 12<\/span><\/strong><\/p>\n

7b. \u5217\u8868\u89e3\u6cd5 [\u66f8\u7684\u6578\u76ee\u5fc5\u9808\u662f\u5076\u6578 (\u7531\u5c0f\u83ef\u80fd\u6e1b\u4e00\u534a\u770b\u51fa)]<\/strong>
\u5c0f\u7d05\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a012<\/span><\/strong>
\u5c0f\u864e\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0 8<\/span><\/strong>
\u5c0f\u82b3\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a05<\/span><\/strong>
\u5c0f\u83ef\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 12\u00a0 16\u00a0\u00a0\u00a0\u00a0 20<\/span><\/strong>
_________________________
Total\u00a0\u00a0 18\u00a0\u00a0\u00a0 27\u00a0\u00a0 36\u00a0\u00a0\u00a0\u00a045<\/span>\u00a0\u00a0 (\u4ee59\u7684\u500d\u6578\u589e\u52a0)<\/strong><\/p>\n

\u4e8c\u3001 \u521d\u4e2d\u73ed\u554f\u984c<\/strong><\/span><\/p>\n

\u3010\u554f\u984c8\u3011\u4e00\u9053\u516d\u4f4d\u6578\u554f\u984c<\/strong><\/span>
\u9019\u662f\u4e00\u9053\u5f88\u53e4\u8001\u7684\u7b97\u8853\u554f\u984c\uff1a\u6709\u4e00\u500b \u516d\u4f4d\u6578\u7684\u6b63\u6574\u6578abcxyz\uff0c\u4e58\u4ee56\u4e4b\u5f8c\uff0c\u8b8a\u6210xyzabc. <\/strong>\u554f: \u9019\u516d\u4f4d\u6578\u662f\u4ec0\u9ebc\uff1f<\/strong><\/p>\n

\u95dc\u9375\u5728\u65bc\u5c07\u516d\u4f4d\u6578\u5206\u6210 abc <\/strong>\u53ca xyz \u5169\u7d44\u3002<\/strong>
6abcxyz =6000abc+6xyz<\/strong>
=xyzabc = 1000xyz+abc => 5999abc = 994xyz<\/strong><\/p>\n

\u9664\u4ee57 \u5f97=> 857 abc = 142 xyz<\/strong>
\u56e0142 \u53ca 857 \u662f\u4e0d\u53ef\u518d\u5206\u7684 \u8cea\u6578\uff0c \u6240\u4ee5 abc = 142, xyz = 857<\/strong>
\u5373\u9019\u516d\u4f4d\u6578\u6b63\u6574\u6578abcxyz\u662f142857\u3002<\/strong>
[\u8a3b: \u4e09\u4f4d\u6578abc \u7b26\u865f\u7684\u5b9a\u7fa9\u662f: abc =100a + 10b +c.]<\/strong><\/p>\n

\u3010\u554f\u984c9\u3011\u5144\u5f1f\u5169\u4eba\u5e74\u9f61<\/strong><\/span>
\u4eca\u5e74\u5144\u5f1f\u5169\u4eba\u7684\u6b72\u6578\u52a0\u8d77\u4f86\u662f55\u6b72\uff0c\u66fe\u7d93\u6709\u4e00\u5e74\uff0c\u54e5\u54e5\u7684\u6b72\u6578\u662f\u5f1f\u5f1f\u4eca\u5e74\u7684\u6b72\u6578\uff0c\u90a3\u6642\u54e5\u54e5\u7684\u6b72\u6578\u6070\u597d\u662f\u5f1f\u5f1f\u7684\u5169\u500d\uff0c\u8acb\u554f\u5144\u5f1f\u4eca\u5e74\u7684\u5e74\u9f61\u5404\u662f\u591a\u5c11\uff1f<\/strong><\/p>\n

\u5047\u8a2d\u54e5\u54e5\u7684\u6b72\u6578=X\uff0c\u5f1f\u5f1f\u7684\u6b72\u6578=Y\uff0c\u5728A\u5e74\u524d\u3002\u5247\u4f9d\u984c\u53ef\u5f97\u4e0b\u9762\u4e09\u500b\u65b9\u4e58\u5f0f:<\/strong>
X+Y=55,<\/strong>
X-A=Y,<\/strong>
X-A=2(Y-A).<\/strong>
\u5c07\u7b2c\u4e8c\u516c\u5f0fY=X-A \u4ee3\u5165\u7b2c\u4e09\u516c\u5f0f\uff0c\u5373\u5f97 X=3A.<\/strong>
\u5c07X=3A\u4ee3\u5165\u7b2c\u4e8c\u516c\u5f0f\uff0c\u5373\u5f97 Y=2A.<\/strong>
\u5c07\u6b64 X,Y\u5e36\u5165\u7b2c\u4e00\u516c\u5f0f\u5373\u5f97 A=11. \u56e0\u6b64\uff0cX=33, Y=22.<\/strong>
\u7b54\u6848\u662f: \u54e5\u54e533\u6b72, \u5f1f\u5f1f22\u6b72\u3002<\/strong><\/p>\n

\u3010\u554f\u984c10\u3011\u8d74\u5bb4\u7684\u4eba\u6578<\/strong><\/span>
\u5927\u5ef3\u88e1\u6b63\u8209\u884c\u5bb4\u6703\uff0c\u6bcf\u4eba\u7aef\u8d77\u9152\u676f\u90fd\u8981\u8ddf\u5176\u4ed6\u6240\u6709\u7684\u4eba\u78b0\u4e00\u6b21\u676f\uff0c\u4e00\u5171\u78b0\u676f136\u6b21\uff0c\u4f60\u80fd\u8aaa\u51fa\u6709\u591a\u5c11\u4eba\u53c3\u52a0\u5bb4\u6703\u55ce\uff1f<\/strong><\/p>\n

10a. \u4ee3\u6578\u89e3\u6cd5<\/strong>
\u5047\u8a2d\u6709X\u4eba\u4f86\u53c3\u52a0\u5bb4\u6703\u3002<\/strong>
\u7b2c\u4e00\u500b\u4eba\u8981\u78b0X-1\u6b21\uff0c<\/strong>
\u7b2c\u4e8c\u500b\u4eba\u8981\u78b0X-2\u6b21\uff0c<\/strong>
\u7b2c\u4e09\u500b\u4eba\u8981\u78b0X-3\u6b21\uff0c<\/strong>
………………..<\/strong>
\u7b2c\uff08X-1\uff09\uff0c\u53ea\u8981\u78b01\u6b21\uff0c<\/strong>
\u7b2cX\u4e2a\u5c31\u4e0d\u7528\u518d\u78b0\u4e86\u3002<\/strong>
\u56e0\u6b64\u7e3d\u5171\u662f: (X-1)+(X-2)+(X-3)+……+3+2+1=136
==> X (X-1)\/2 = 136<\/strong>
==> X2 <\/b><\/span><\/sup>– X – 272 = 0\uff0c
\u89e3\u5f97 X= [1+(1+1088)]1\/2<\/span><\/sup><\/b><\/span>\/2 = (1+33)\/2 = 17.\u00a0 (X\u662f\u6b63\u6574\u6578)<\/strong><\/p>\n

[\u8a3b: \u5229\u7528\u6578\u5b78\u516c\u5f0f: 1+2+3+ \u2026+x = (x+1)x\/2, \u53ca \u4e8c\u6b21\u65b9\u7a0b\u5f0f ax<\/span>2<\/span><\/sup>+bx+c=0 <\/strong>\u7684\u4e00\u822c\u89e3\u7b54\u662f: <\/strong>
\"star-2\"<\/a>
\u9019\u4e9b\u516c\u5f0f\u662f\u8981\u80cc\u719f\u7684\u3002]<\/strong><\/p>\n

10b. \u53e6\u6cd5\u89e3 X(X-1)\/2 = 136 = \u78b0\u676f\u6578 <\/strong>
X2<\/span><\/sup> – X – 272 = 0 ==> X = (X+272)1\/2 <\/span><\/sup>> 2721\/2<\/span><\/sup> = 16.49 (X>0 \u7684\u6b63\u6574\u6578)<\/strong>
\u56e0 X > 16. \u5f9e X = 17 \u7b97\u8d77:\u00a0 \u7576 X=17 \u6642\uff0c\u78b0\u676f\u6578 = 17×16\/2 = 136 \u525b\u597d\u662f\u7b54\u6848\u3002<\/strong><\/p>\n

10c. \u4e00\u822c\u516c\u5f0f<\/strong>
\u5982\u679c\u6709\u00a0X \u4eba\u53c3\u52a0\u5bb4\u6703\uff0c \u78b0\u4e86 N \u6b21\u676f\uff0c \u5247\u516c\u5f0f\u662f X<\/span>2 <\/span><\/span><\/sup>–\u00a0X – 2N = 0.<\/strong>
==>\u00a0X > (2N)<\/span>1\/2<\/span><\/sup> <\/strong>
\u8b6c\u5982\u7e3d\u5171\u78b0\u4e86 N=528\u6b21\uff0c\u5247\u00a0X > 32.50 ==>\u00a0\u00a0\u00a0X = 33 \u662f\u7b54\u6848\u3002<\/strong>
\u8b6c\u5982\u7e3d\u5171\u78b0\u4e86 N=171\u6b21\uff0c\u5247\u00a0X > 18.49 ==>\u00a0\u00a0\u00a0X = 19 \u662f\u7b54\u6848\u3002<\/strong><\/p>\n

\u3010\u554f\u984c11\u3011\u690d\u6a39\u554f\u984c<\/span><\/strong>
\u6709\u4e5d\u682a\u6a39\uff0c\u8981\u683d\u5341\u884c\uff0c\u6bcf\u884c\u4e09\u682a\uff0c\u5171\u6709\u4e09\u7a2e\u89e3\u6cd5\uff0c\u8acb\u4f60\u5e6b\u5fd9\u60f3\u4e00\u60f3\u3002<\/strong>(\u4f8b\u5982\uff1a\u7530\u5b57\u578b\u6709\u516b\u884c\u3002)<\/strong>
\u89e3\u7b54\u5982\u4e0b\u5716:<\/strong>
\"star-1\"<\/a>
\u3010\u554f\u984c12\u3011\u901f\u7b97\u554f\u984c<\/span><\/strong>
\u5982\u679c\u5df2\u77e5:<\/strong>
12345679\u00d7 9 = 111111111<\/strong>
12345679\u00d718 = 222222222<\/strong>
12345679\u00d736 = 444444444<\/strong>
\u4f60\u80fd\u5feb\u901f\u731c\u51fa\u4e0b\u9762\u554f\u984c\u7684\u7b54\u6848\u55ce?<\/strong>
12345679\u00d754=?<\/strong>
12345679\u00d781=?<\/strong>
[\u6697\u793a: 18 =2×9, 36 =4×9, 54 =6×9, 81=9×9]<\/strong><\/p>\n

\u3010\u554f\u984c13\u3011\u56db\u4f4d\u6578abcd = (a+b+c+d)4<\/sup><\/span> , \u8a66\u554f\u6b64\u56db\u4f4d\u6578\u70ba\u4f55?<\/strong><\/span>
\u89e3\u7b54\u7684\u95dc\u9375\u5728\u65bc\u56db\u4f4d\u6578\u76ee\uff0c1000 < abcd = (a+b+c+d)4<\/span><\/sup> <\u00a09999 => \u56db\u65b9\u6839\u662f\u00a0 5.62 < a+b+c+d < 10\uff0c\u9650\u5b9a\u4e86\u6c42\u89e3\u7684\u7bc4\u570d\u3002 <\/strong>
a+b+c+d\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 7\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 9 <\/strong>
(a+b+c+d)4<\/span><\/sup>\u00a0\u00a0\u00a0 1296\u00a0\u00a0 2401\u00a0\u00a0<\/span> 4096\u00a0\u00a0\u00a0\u00a0\u00a0 6561 <\/strong>
(a+b+c+d)’\u00a0\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 7<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 19\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a018 <\/strong><\/p>\n

\u3010\u554f\u984c14\u3011\u8a02\u8cfc\u6559\u79d1\u66f8<\/span>
\u6821\u9577\u554f\uff1a\u300c\u9019\u5b78\u671f\u8a02\u8cfc\u7684\u6559\u79d1\u66f8\u90fd\u9001\u4f86\u4e86\u55ce\uff1f\u300d \u8001\u5e2b\uff1a\u300c\u6309\u8a08\u756b\u662f\u5206\u4e09\u6b21\u9001\u4f86\uff0c\u7b2c\u4e00\u6b21\u662f303\u672c\uff0c\u7b2c\u4e8c\u6b21\u662f\u4e94\u5206\u4e4b\u4e00\uff0c\u90fd\u9001\u5230\u4e86\u3002\u7576\u9084\u6709\u4e03\u5206\u4e4b\uff38\u6c92\u9001\u5230\u3002\u300d \u6821\u9577\uff1a\u300c\uff38\u662f\u591a\u5c11\uff1f\u300d\u8001\u5e2b\uff1a\u300c\uff38\u662f\u6574\u6578\uff0c\u8acb\u60a8\u7b97\u4e00\u7b97\u3002\u300d \u8acb\u5927\u5bb6\u4f86\u7b97\u4e00\u7b97\uff38\u662f\u591a\u5c11\uff1f\u540c\u6642\u4e5f\u7b97\u4e00\u4e0b\u8a02\u8cfc\u4e86\u591a\u5c11\u672c\u66f8 N\uff1f <\/strong><\/p>\n

N=303+ N\/5 +XN\/7 => 35N = 35×303 + (7+5X) N
=> (28-5X) N = 3x35x101<\/strong>
\u56e0 3, 35, 101 \u90fd\u662f\u8cea\u6578, X\u662f\u5927\u65bc\u96f6\u7684\u6574\u6578 ==> 28 – 5X = 3
==> \u552f\u4e00\u89e3\u662f X= 5, N=35×101 =3535.<\/strong><\/p>\n

\u3010\u554f\u984c15\u3011\u56db\u4f4d\u6578abcd = (a+b+c+d)3<\/sup> <\/span>\u8a66\u554f\u6b64\u56db\u4f4d\u6578\u70ba\u4f55?<\/strong><\/span>
\u89e3\u7b54: \u56e0 1000< abcd= (a+b+c+d)3<\/span><\/sup><\/span> < 9999, => 10 < a+b+c+d < 21.54 a+b+c+d\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 11\u00a0\u00a0\u00a0\u00a0 12\u00a0\u00a0\u00a0\u00a0 13\u00a0\u00a0\u00a0 14\u00a0\u00a0\u00a0\u00a0\u00a0\u00a015\u00a0\u00a0\u00a0\u00a0\u00a0 16\u00a0\u00a0\u00a0\u00a0 17<\/span>\u00a0\u00a0\u00a0 18\u00a0\u00a0<\/span>\u00a0\u00a0 19\u00a0\u00a0\u00a0\u00a0 20<\/strong>
(a+b+c+d)3<\/span><\/sup><\/span> 1331 1728 2197 2744\u00a0\u00a03375 4096 4913<\/span> 5832<\/span> 6859\u00a0 8000\u00a0<\/strong>
(a+b+c+d)’\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0 18\u00a0\u00a0\u00a0\u00a0 19 \u00a0\u00a0 17\u00a0\u00a0\u00a0\u00a0\u00a0\u00a018\u00a0\u00a0\u00a0\u00a0\u00a019\u00a0\u00a0\u00a0\u00a0 17\u00a0\u00a0\u00a0 <\/span>\u00a018<\/span>\u00a0\u00a0\u00a0 \u00a028\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a08<\/strong>
\u7b54\u6848\u662f\u00a04913\u00a0\u6216 5832.<\/strong><\/p>\n

\u3010\u554f\u984c16\u3011\u5206\u725b\u5976\u7684\u96e3\u984c<\/span>
\u5341\u516b\u4e16\u7d00\u6cd5\u570b\u8457\u540d\u6578\u5b78\u5bb6\u5df4\u905c\uff0c\u64da\u8aaa\u4ed6\u6700\u521d\u7684\u9858\u671b\u4e0d\u662f\u641e\u6578\u5b78\uff0c\u4ed6\u7684\u7236\u6bcd\u539f\u5e0c\u671b\u4ed6\u505a\u500b\u91ab\u751f\uff0c\u5679\u662f\u7531\u65bc\u4e00\u500b\u5076\u7136\u7684\u6a5f\u6703\uff0c\u624d\u4f7f\u4ed6\u6539\u8b8a\u4e86\u5fd7\u9858\u3002 \u6709\u4e00\u6b21\uff0c\u5df4\u905c\u8ddf\u4ed6\u7684\u670b\u53cb\u5230\u9109\u9593\u53bb\u65c5\u884c\u3002\u6709\u5169\u500b\u8def\u4eba\u5230\u4ed6\u7684\u4f4f\u8655\u9644\u8fd1\u8cfc\u8cb7\u725b\u5976\u3002\u4e3b\u4eba\u5f9e\u5730\u7a96\u88e1\u62ff\u4f86\u4e86\u4e00\u6876\u516b\u516c\u65a4\u7684\u725b\u5976\uff0c\u8cb7\u8005\u8acb\u6c42\u5c0d\u534a\u5206\u3002\u4f7f\u4e3b\u4eba\u611f\u5230\u70ba\u96e3\u7684\u662f\uff1a\u4ed6\u8eab\u908a\u6c92\u6709\u78c5\u79e4\uff0c\u53ea\u6709\u5169\u500b\u74e6\u7f50\uff0c\u5927\u7684\u53ef\u4ee5\u88dd\u4e94\u516c\u65a4\uff0c\u5c0f\u7684\u88dd\u4e09\u516c\u65a4\uff0c\u600e\u9ebc\u8fa6\u5462\uff1f\u5df4\u905c\u60f3\u4e86\u4e00\u4e0b\uff0c\u4fbf\u81ea\u544a\u596e\u52c7\u5730\u70ba\u4e3b\u4eba\u89e3\u6c7a\u4e86\u9019\u500b\u96e3\u984c\u3002\u4ed6\u7684\u670b\u53cb\u90a6\u7a31\u8d0a\u4ed6\u6709\u6578\u5b78\u5929\u624d\uff0c\u4e00\u81f4\u9f13\u52f5\u4ed6\u653b\u8b80\u6578\u5b78\uff0c\u5df4\u905c\u63a5\u53d7\u4e86\u670b\u53cb\u7684\u5fe0\u544a\uff0c\u523b\u82e6\u52e4\u596e\u5730\u57cb\u982d\u653b\u8b80\u6578\u5b78\uff0c\u5f8c\u4f86\u679c\u7136\u6210\u70ba\u6cd5\u570b\u8d6b\u8d6b\u6709\u540d\u7684\u6578\u5b78\u5bb6\u3002 \u9019\u500b\u554f\u984c\u4e26\u4e0d\u592a\u8907\u96dc\uff0c\u53ea\u8981\u80af\u52d5\u8166\u7b4b\uff0c\u4e00\u5b9a\u53ef\u4ee5\u89e3\u6c7a\u7684\u3002\u4f60\u9858\u8a66\u4e00\u8a66\u55ce\uff1f <\/strong><\/p>\n

\u5217\u8868\u89e3\u7b54: <\/strong>
8\u516c\u65a4\u6876|\u00a0\u00a0\u00a0 8\u00a0\u00a0 3\u00a0\u00a0 3\u00a0\u00a0 6\u00a0\u00a0 6\u00a0\u00a0 1\u00a0\u00a0 1\u00a0\u00a0 4 <\/strong>
5\u516c\u65a4\u6876|\u00a0\u00a0\u00a0 0\u00a0\u00a0 5\u00a0\u00a0 2\u00a0\u00a0 2\u00a0\u00a0 0\u00a0\u00a0 5\u00a0\u00a0 4\u00a0\u00a0 4 \u00a0<\/strong>
3\u516c\u65a4\u6876|\u00a0\u00a0 \u00a00\u00a0\u00a0 0\u00a0\u00a0 3\u00a0\u00a0 0\u00a0\u00a0 2\u00a0\u00a0 2\u00a0\u00a0 3\u00a0\u00a0 0 <\/strong><\/p>\n

\u4e09\u3001<\/strong><\/span>\u9ad8\u4e2d\u73ed\u554f\u984c<\/span> <\/strong><\/p>\n

\u3010\u554f\u984c17\u3011\u6578\u5b57\u7de8\u7d44<\/span>
\u9019\u88cf\u6709\u5341\u500b\u6578\u5b57\uff1a21\u300122\u300134\u300139\u300144\u300145\u300165\u300176\u3001133\u3001153\u3002\u8acb\u4f60\u628a\u5b83\u7de8\u6210\u5169\u7d44\uff0c\u6bcf\u7d44\uff15\u500b\u6578\uff0c\u4e26\u4e14\u5169\u7d44\u6578\u76ee\u7684\u4e58\u7a4d\u6703\u76f8\u7b49\u3002 <\/strong><\/p>\n

\u901910 \u500b\u6578\u5b57\u76f8\u4e58\u5f8c\u7684\u5e73\u65b9\u6839 (square root) \u662f <\/strong>349,188,840. \u5b83\u662f <\/strong>5\u00a0\u500b\u6578\u76ee\u7684\u4e58\u7a4d\u3002<\/strong><\/p>\n

\u5728\u6b64\u5175\u5206\u5169\u8def:<\/strong>
==>133×2625480= (133x34x45)x 1716==> 133x45x34x(39×44)\u00a0<\/strong>
[\u8a3b: 2625480\u4e0d\u80fd\u88ab21, 76, 153 \u9664]<\/strong>
==> 153×2282280=(153x21x76)x1430 ==> 153x21x76x (22×65)\u00a0<\/strong>
[\u8a3b: 2282280 \u4e0d\u80fd\u88ab34, 45, 133 \u9664]<\/strong>
\u56e0\u6b64\uff0c\u7b54\u6848\u662f (34,39,44,45,133) \u53ca (21,22,65,76,153) \u5169\u7d44\u3002<\/strong><\/p>\n

\u3010\u554f\u984c18\u3011\u5206\u7cd6<\/strong><\/span>
\u6625\u7bc0\u7684\u6642\u5019\u5abd\u5abd\u7d66\u5c0f\u9f8d\u8cb7\u4e86\u4e00\u65a4\u6c34\u679c\u7cd6\uff08\u4e0d\u8d85\u904e100\u9846\uff09\u3002\u4e0a\u5348\u5c0f\u9f8d\u5403\u4e86\u4e00\u584a\uff0c\u7136\u5f8c\u628a\u5269\u4e0b\u7684\u7cd6\u5206\u51fa\u4e09\u5206\u4e4b\u4e00\u9001\u7d66\u5976\u5976\u3002\u4e0b\u5348\u5c0f\u9f8d\u53c8\u5403\u4e86\u4e00\u584a\uff0c\u518d\u628a\u5269\u4e0b\u7684\u4ed6\u5206\u51fa\u4e09\u5206\u4e4b\u4e00\u9001\u7d66\u9694\u58c1\u7684\u5c0f\u5f1f\u5f1f\u3002\u665a\u4e0a\u5c0f\u9f8d\u53c8\u5403\u4e86\u4e00\u584a\uff0c\u7136\u5f8c\u628a\u5269\u4e0b\u7684\u7cd6\u518d\u5206\u51fa\u4e09\u5206\u4e4b\u4e00\u7d66\u7238\u7238\u5abd\u5abd\u5403\u3002\u7b2c\u4e8c\u5929\uff0c\u4f86\u4e86\u4e09\u4f4d\u5c0f\u670b\u53cb\uff0c\u5c0f\u9f8d\u628a\u5269\u4e0b\u7684\u7cd6\u679c\u5206\u6210\u4e09\u4efd\uff0c\u6700\u5f8c\u9084\u591a\u4e86\u4e00\u500b\u3002\u8acb\u4f60\u7b97\u4e00\u7b97\uff0c\u4e00\u5171\u6709\u591a\u5c11\u7cd6\uff1f<\/strong><\/p>\n

\u5047\u8a2d\u5c0f\u670b\u53cb\u6bcf\u4eba\u5206\u5230 n \u584a\u7cd6\uff0c\u7e3d\u5171\u6709 N \u584a\u7cd6\uff0c\u5247<\/strong>
\u5976\u5976\u5206\u5f97 (N-1)\/3\uff0c<\/strong>
\u5c0f\u5f1f\u5f1f\u5206\u5f97 [2(N-1)\/3 – 1]\/3 = (2N-5)\/9<\/strong>
\u7238\u5abd\u5206\u5f97\u00a0 [2(2N-5)\/9 – 1]\/3 = (4N-19)\/27<\/strong>
3\u4f4d\u5c0f\u670b\u53cb 2(4N-19)\/27 – 1 = 3n<\/strong>
==> 8N=65+81n ==> n=7\uff0cand N=79<\/span>. [\u56e0 n \u53ca N \u662f\u6b63\u6574\u6578]<\/strong>
\u7b54\u6848\u662f\u7e3d\u5171\u6709 79 \u584a\u7cd6<\/span>\u3002<\/strong><\/p>\n

[\u4fe1\u5805\u8a3b: \u6c42 8N=65+81n \u4e4b\u89e3\u7b54\u7684\u65b9\u6cd5\u5982\u4e0b: \u5148\u5c07\u6b64\u65b9\u7a0b\u5f0f\u6539\u5beb\u6210
N = 8+10n + (1+n)\/8, <\/strong>\u5247\u77e5 n=7+8a \u90fd\u662f\u53ef\u80fd\u7684\u89e3\u7b54<\/strong>
==> N = 79 + 81a<\/span> \u90fd\u662f\u53ef\u80fd\u7684\u89e3\u7b54 (a \u662f\u6b63\u6574\u6578)<\/strong>
\u6b64\u984c\u9650\u5236 N < 100, \u56e0\u6b64\u89e3\u7b54\u662f a=0, N=79. \u5982\u679c\u5c07\u984c\u76ee\u6539\u70ba N \u7a0d\u5c0f\u65bc 500\uff0c\u5247\u7b54\u6848\u662f\u00a0a = 5, N = 484.]<\/strong><\/p>\n

\u3010\u554f\u984c19\u3011\u5169\u652f\u81d8\u71ed<\/strong><\/span>
\u7c97\u881f\u71ed\u548c\u7d30\u881f\u71ed\u9577\u77ed\u4e00\u6a23\u3002\u7c97\u881f\u71ed\u53ef\u4ee5\u9ede\uff15\u5c0f\u6642\uff0c\u7d30\u881f\u71ed\u53ef\u4ee5\u9ede\u56db\u5c0f\u6642\uff0c\u540c\u6642\u9ede\u71c3\u9019\u5169\u652f\u881f\u71ed\uff0c\u9ede\u71c3\u4e00\u6bb5\u6642\u9593\u5f8c\uff0c\u7c97\u881f\u71ed\u662f\u7d30\u881f\u71ed\u7684\uff14\u500d\u3002\u60a8\u80fd\u5920\u7b97\u51fa\u9019\u5169\u96bb\u881f\u71ed\u5169\u652f\u881f\u71ed\u9ede\u4e86\u591a\u5c11\u6642\u9593\u55ce\uff1f\u00a0<\/strong>
4(1-x) = 5(1-4x) => x=1\/16 4x (1-1\/16) = 15\/4 hr. (x \u662f\u5269\u9918\u9577\u5ea6)<\/strong><\/p>\n

\u6539\u6210\u6bd4\u8f03\u5bb9\u6613: \u7c97\u881f\u71ed\u548c\u7d30\u881f\u71ed\u9577\u77ed\u4e00\u6a23\u3002\u7c97\u881f\u71ed\u53ef\u4ee5\u9ede6\u5c0f\u6642\uff0c\u7d30\u881f\u71ed\u53ef\u4ee5\u9ede4\u5c0f\u6642\uff0c\u540c\u6642\u9ede\u71c3\u9019\u5169\u652f\u881f\u71ed\uff0c\u9ede\u71c3\u4e00\u6bb5\u6642\u9593\u5f8c\uff0c\u7c97\u881f\u71ed\u662f\u7d30\u881f\u71ed\u76842\u500d\u3002\u60a8\u80fd\u5920\u7b97\u51fa\u9019\u5169\u96bb\u881f\u71ed\u5169\u652f\u881f\u71ed\u9ede\u4e86\u591a\u5c11\u6642\u9593\u55ce\uff1f<\/strong>
T = 4(1-x) = 6(1-2x) => x=1\/4 T = 4 x (1- \u00bc) = 3 hr.<\/strong>
\u5269\u9918\u9577\u5ea6: \u7c97\u881f\u71ed= 1-T\/6 \u7d30\u881f\u71ed= 1-T\/4<\/strong>
\u9ede\u7684\u6642\u9593\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03<\/span><\/strong>
\u7c97\u881f\u71ed\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0 5\/6\u00a0\u00a0\u00a0\u00a0 2\/3\u00a0\u00a0\u00a0 1\/2<\/strong>
\u7d30\u881f\u71ed\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 3\/4\u00a0\u00a0\u00a0\u00a0 1\/2\u00a0\u00a0\u00a0 1\/4<\/strong>
\u500d\u6578\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 9\/10\u00a0\u00a0 4\/3\u00a0\u00a0\u00a0\u00a0 2<\/span><\/strong><\/p>\n

\u3010\u554f\u984c20\u3011\u83f2\u6ce2\u62c9\u5951\u7cfb\u5217 (Fibonacci Sequence)<\/strong><\/span>
\u5341\u4e09\u4e16\u7d00\u521d\uff0c\u7fa9\u5927\u5229\u51fa\u7248\u4e86\u672c\u7814\u7a76\u7b97\u8853\u548c\u4ee3\u6578\u7684\u66f8\u7c4d<<\u7b97\u76e4\u66f8>>\uff0c\u5b83\u662f\u7576\u6642\u6b50\u6d32\u4eba\u63a8\u5ee3\u963f\u62c9\u4f2f\u6578\u5b57\u7684\u91cd\u8981\u66f8\u7c4d\u3002\u6578\u5b78\u5bb6\u83f2\u6ce2\u62c9\u5951\u5728\u66f8\u4e2d\u63d0\u51fa\u4e00\u500b\u6a02\u8da3\u7684\u984c\u76ee\uff1a\u300c\u5047\u8a2d\u4e00\u5c0d\u5154\u5b50\u914d\u6210\u5c0d\u5076\u5f8c\uff0c\u5728\u7b2c\u4e8c\u500b\u6708\u5f8c\uff0c\u4fbf\u53ef\u6bcf\u6708\u751f\u4e0b\u4e00\u5c0d (\u4e00\u96cc\u4e00\u96c4) \u7684\u5c0f\u5154\u5b50\u3002\u5047\u8a2d\u6bcf\u96bb\u5154\u5b50\u90fd\u80fd\u5065\u5eb7\u5b58\u6d3b\u3002\u554f: \u5982\u679c\u958b\u59cb\u6709\u4e00\u5c0d\u521d\u751f\u5154\u5b50\uff0c\u4e00\u5e74\u4e4b\u5f8c\uff0c\u7e3d\u5171\u6703\u6709\u591a\u5c11\u5c0d\u5154\u5b50\u5462\uff1f\u300d<\/strong><\/p>\n

\u5217\u8868\u8a08\u7b97:<\/strong>
\u5e7e\u6708\u5f8c\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0 2\u00a0 3\u00a0 4\u00a0 5\u00a0 6\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a010\u00a0\u00a0 11\u00a0\u00a0 12\u00a0\u00a0 \u00a013<\/strong>
\u6578\u91cf (\u751f\u7522\u671f)\u00a0\u00a0\u00a0 0\u00a0 0\u00a0 1\u00a0 1\u00a0 2\u00a0 3\u00a0\u00a0 5\u00a0\u00a0 8\u00a0\u00a0 13\u00a0\u00a0 21\u00a0\u00a0 34\u00a0\u00a0 55\u00a0 \u00a089<\/strong>
(\u51fa\u751f\u5169\u500b\u6708\u5167)\u00a0 0\u00a0 1\u00a0 0\u00a0 1\u00a0 1\u00a0 2\u00a0\u00a0 3\u00a0\u00a0 5\u00a0\u00a0\u00a0 8\u00a0\u00a0 13\u00a0\u00a0 21\u00a0\u00a0 34\u00a0\u00a0 \u00a055<\/strong>
(\u51fa\u751f\u4e00\u500b\u6708\u5167)\u00a0 1\u00a0 0\u00a0 1\u00a0 1\u00a0 2\u00a0 3\u00a0\u00a0 5\u00a0 \u00a08 \u00a013\u00a0\u00a0\u00a0 21\u00a0\u00a034\u00a0\u00a0 55\u00a0\u00a0 \u00a089<\/strong>
\u7e3d\u6578\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a01\u00a0 2\u00a0 3\u00a0 5\u00a0\u00a08\u00a013 21\u00a0 34\u00a0\u00a0\u00a0 55\u00a0 89 144<\/span>\u00a0 233<\/strong><\/p>\n

\u5982\u6b64\u4e0b\u53bb\uff0c\u6bcf\u500b\u6708\u5154\u5b50\u7684\u6210\u5c0d\u500b\u6578\u5206\u5225\u662f1\uff0c1\uff0c2\uff0c3\uff0c5\uff0c8\uff0c13\uff0c21\uff0c34, 55, 89, 144, 233, …….\u3002\u9019\u6578\u5217\u6211\u5011\u7a31\u4e4b\u70ba\u6590\u6ce2\u62c9\u5951\u7cfb\u5217\uff0c\u4e14\u5176\u7279\u5fb5\u662f\u5728\u6bcf\u500b\u6578\u5b57\u662f\u524d\u5169\u500b\u6578\u5b57\u7684\u7e3d\u548c\u3002<\/strong><\/p>\n

\u5982\u4ee5\u6578\u5b78\u8853\u8a9e\u8868\u9054\uff0c\u6590\u6ce2\u7d0d\u5951\u6578\u7684\u5e8f\u5217 F<\/b>n <\/b><\/sub>\u7684\u905e\u6b78\u95dc\u4fc2\u662f\uff1a
F<\/span>n<\/span><\/sub>=F<\/span>n-1<\/span><\/sub>+<\/span>Fn-2<\/span><\/sub>,\u00a0 n >3,\u00a0 F<\/span>1<\/span><\/sub>=1, F<\/span>2<\/span><\/sub>=1.<\/span><\/span><\/strong><\/p>\n

\u3010\u554f\u984c21\u3011\u559d\u6c7d\u6c34\u554f\u984c<\/strong><\/span>
\u6709n \u74f6\u6c7d\u6c34\uff0c\u6bcf\u5169\u500b\u7a7a\u74f6\u53ef\u63db\u4e00\u74f6\u6c7d\u6c34\uff0c\u6bcf\u4e09\u500b\u74f6\u84cb\u53ef\u63db\u74f6\u6c7d\u6c34\uff0c\u554f: \u7e3d\u5171\u53ef\u559d\u5e7e\u74f6\u6c7d\u6c34? \u7b54\u6848\u662f N=6n-7, \u5269\u4e00\u74f6\u84cb\u53ca\u4e8c\u7a7a\u74f6\u3002<\/strong>
(\u82e5\u501f\u8cb87\u7a7a\u74f6\u53ca7 \u74f6\u84cb\uff0c\u5247\u53ef\u591a\u559d7\u74f6, \u5373 N = 6n)<\/strong><\/p>\n

\u5217\u8868\u89e3\u984c<\/strong>
\u6c7d\u6c34\u00a0\u00a0\u00a0 \u7a7a\u74f6\u00a0\u00a0\u00a0 \u74f6\u84cb<\/strong>
2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1\u00a0\u00a0\u00a0\u00a0 2+1<\/strong>
0+1\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0 0+1<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00+1\u00a0\u00a0\u00a0\u00a0 1+1<\/strong>
__________________<\/strong>
5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2
==> n=2\uff0c\u7e3d\u5171\u53ef\u559d 5=6xn-7\u74f6\u6c7d\u6c34, \u5269\u4e00\u7a7a\u74f6\u53ca\u4e8c\u74f6\u84cb\u3002<\/strong><\/p>\n

\u6c7d\u6c34\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u7a7a\u74f6\u00a0\u00a0\u00a0\u00a0\u00a0 \u74f6\u84cb<\/strong>
3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/strong>
1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+1<\/strong>
1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+1<\/strong>
0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1<\/strong>
___________________<\/strong>
11\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2
==> n=3\uff0c\u7e3d\u5171\u53ef\u559d 11=6xn -7 \u74f6\u6c7d\u6c34, \u5269\u4e00\u7a7a\u74f6\u53ca\u4e8c\u74f6\u84cb\u3002<\/strong>
1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+1\u00a0\u00a0\u82e5\u518d\u589e\u52a0\u4e00\u74f6\u6c7d\u6c34<\/strong>
1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+1<\/strong>
0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1=1<\/strong>
___________________<\/strong>
17\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2
==> n=4\uff0c \u7e3d\u5171\u53ef\u559d 17= 6xn -7 \u74f6\u6c7d\u6c34, \u5269\u4e00\u7a7a\u74f6\u53ca\u4e8c\u74f6\u84cb\u3002<\/strong><\/p>\n

==> \u4e00\u822c\u516c\u5f0f\u662f\u82e5\u6709n\u74f6\u6c7d\u6c34\uff0c\u5247\u7e3d\u5171\u53ef\u559d N = 6n-7 \u74f6\u6c7d\u6c34, \u5269\u4e00\u7a7a\u74f6\u53ca\u4e8c\u74f6\u84cb\u3002<\/strong>\u6b64\u5730\u7684 -7 \u662f\u6240\u8b02\u91cf\u5b50\u5316\u7cfe\u6b63 (quantization correction)\uff0c\u56e0\u7a7a\u74f6\u8207\u74f6\u84cb\u662f\u6574\u6578\uff0c\u4e0d\u53ef\u7d30\u5206\u3002<\/strong><\/p>\n

\u82e5\u5411\u9280\u884c\u501f 7 \u7a7a\u74f6\u53ca 7\u74f6\u84cb [\u91cf\u5b50\u529b\u5b78\u7684\u8ff0\u8a9e\u53eb\u771f\u7a7a\u6ce2\u52d5 (vacuum fluctuation)]\uff0c\u5247<\/strong>
6n-7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -7+7+1\u00a0\u00a0 -7+7+2<\/strong>
4+3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -7+7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -7+7<\/strong>
___________________________<\/strong>
6n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/strong>
==> \u4e00\u822c\u516c\u5f0f\u662f\uff0c\u82e5\u6709n\u74f6\u6c7d\u6c34\uff0c\u5247\u7e3d\u5171\u53ef\u559d N = 6n \u74f6\u6c7d\u6c34, \u6c92\u5269\u4e0b\u7a7a\u74f6\u6216\u74f6\u84cb\u3002<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

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