{"id":6639,"date":"2016-12-10T01:09:27","date_gmt":"2016-12-10T01:09:27","guid":{"rendered":"http:\/\/www.worldofmastermind.com\/?p=6639"},"modified":"2016-12-19T16:47:26","modified_gmt":"2016-12-19T16:47:26","slug":"%e8%80%83%e4%bd%a0%e5%b9%be%e6%a2%9d%e6%9c%89%e8%b6%a3%e7%9a%84%e5%b0%8f%e5%ad%b8%e5%9b%9b%e5%b9%b4%e7%b4%9a%e7%ae%97%e8%a1%93%e5%95%8f%ef%bc%8c%e7%9c%8b%e4%bd%a0%e6%9c%83%e4%b8%8d%e6%9c%83","status":"publish","type":"post","link":"https:\/\/www.worldofmastermind.com\/?p=6639","title":{"rendered":"\u5e7e\u689d\u6709\u8da3\u7684\u5c0f\u5b78\u56db\u5e74\u7d1a\u7b97\u8853\u554f\u984c"},"content":{"rendered":"

\u524d\u8a00<\/strong><\/span>
\u4e0a\u500b\u6708\u4e2d\uff0c\u4fe1\u5805\u5230\u66fc\u54c8\u9813 (Manhattan) \u542b\u98f4\u5f04\u5b6b\uff0c\u9806\u4fbf\u904e\u611f\u6069\u7bc0\u3002\u5b6b\u5b50\u7d18\u71c1\u5148\u751f\uff0c\u525b\u4e0a\u5c0f\u5b78\u56db\u5e74\u7d1a\u3002\u5e36\u56de\u4e86\u5e7e\u984c\u5b78\u6821\u7684\u7b97\u8853\u4f5c\u696d\uff0c\u4e5f\u9806\u4fbf\u8003\u8003\u963f\u516c\u3002(\u53ea\u80fd\u7528\u7b97\u6578\uff0c\u4e0d\u51c6\u7528\u4ee3\u6578\u3002\u56e0\u70ba\u5c0f\u5b78\u751f\u9084\u6c92\u5b78\u4ee3\u6578\u3002)<\/strong><\/p>\n

\u9019\u53ef\u628a\u963f\u516c\u8003\u5012\u4e86\u3002\u56e0\u70ba\u6211\u5011\u5728\u5c0f\u5b78\u88e1\u6c92\u6709\u5b78\u5230\u5982\u4f55\u89e3\u9019\u7a2e\u7b97\u6578\u554f\u984c\u3002\u624d\u77e5\u7b97\u8853\u662f\u6d3b\u7684\uff0c\u4e0d\u662f\u6b7b\u7684\u6578\u5b57\u3002\u5927\u5bb6\u53ef\u4ee5\u8003\u8003\u81ea\u5df1\u6216\u81ea\u5df1\u7684\u5c0f\u5b69\uff0c\u6e2c\u8a66\u4e00\u4e0b\u5927\u5bb6\u7684\u7b97\u8853\u80fd\u529b\u3002<\/strong><\/p>\n

\u4e00\u3001\u4e09\u689d\u5c0f\u5b78\u56db\u5e74\u7d1a\u7684\u7b97\u8853\u554f\u984c<\/strong><\/span>
1. Amy began with 5 marbles for every 3 marbles that Tara had. After Amy gave 1 marble to Tara, then 3 time Tera had is equal to twice Amy had. How many marbles did Amy begin with?<\/strong>
\u5982\u679cTara\u6bcf\u64c1\u6709\u4e09\u9846\u5f48\u73e0\uff0cAmy \u5c31\u64c1\u6709\u4e94\u9846\u5f48\u73e0\u3002\u7576Amy \u7d66 Tara \u4e00\u9846\u5f48\u73e0\u4e4b\u5f8c\uff0cAmy \u6240\u64c1\u6709\u5f48\u73e0\u7684\u5169\u500d\uff0c\u5c31\u7b49\u65bcTara \u6240\u64c1\u6709\u7684\u4e09\u500d\u3002\u8acb\u554f\uff0cAmy \u525b\u958b\u59cb\u64c1\u6709\u5e7e\u9846\u5f48\u73e0?<\/strong><\/p>\n

2. Mr. Jackson was born on January 1, 1978. His daughter Leah was born on January 1, 2000. In what year was Mr. Jackson exactly three times as old as Leah?<\/strong>
\u5091\u514b\u68ee\u5148\u751f\u51fa\u751f\u65bc 1978\u5e74\u4e00\u6708\u4e00\u65e5\u3002 \u5979\u7684\u5973\u5152\u8389\u4e9e\u51fa\u751f\u65bc 2000\u5e74\u4e00\u6708\u4e00\u65e5\u3002\u554f: \u5728\u4f55\u6642\u5091\u514b\u68ee\u7684\u6b72\u6578\u662f Leah \u7684\u4e09\u500d?<\/strong><\/p>\n

3. If the Mother’s age is daughter’s age in reverse, and 13 years later, the mother’s age is twice of that of the daughter. What is the daughter’s age now?<\/strong>
\u5982\u679c\u5abd\u5abd\u7684\u5e74\u7d00\u662f\u5973\u5152\u6b72\u6578\u7684\u4f4d\u6578\u985b\u5012\uff0c13\u5e74\u5f8c\uff0c\u5abd\u5abd\u7684\u5e74\u7d00\u662f\u5973\u5152\u7684\u5169\u500d\uff0c\u554f: \u73fe\u5728\u5973\u5152\u662f\u5e7e\u6b72?<\/strong> <\/p>\n

\u4e8c\u3001\u5217\u8868\u89e3\u7b54\u6cd5<\/strong><\/span>
\u5de5\u6b32\u5584\u5176\u4e8b\uff0c\u5fc5\u5148\u5229\u5176\u5668\u3002\u89e3\u6c7a\u4e0a\u9762\u4e09\u500b\u554f\u984c\uff0c\u5982\u679c\u4e0d\u80fd\u7528\u4ee3\u6578\uff0c\u5247\u9808\u8981\u6709\u9069\u7576\u7684\u5de5\u5177\u6216\u65b9\u6cd5\u3002\u9019\u5c31\u662f\u6240\u8b02 “\u5217\u8868\u6cd5”\u3002\u5217\u8868\u6cd5\u5728\u5c0f\u5b78\u6578\u5b78\u5b78\u79d1\u61c9\u7528\u975e\u5e38\u5ee3\u6cdb\uff0c\u7279\u5225\u662f\u89e3\u6c7a\u5be6\u969b\u554f\u984c\uff08\u61c9\u7528\u984c\uff09\uff0c\u56e0\u70ba\u5217\u8868\u6cd5\u7c21\u6f54\u3001\u6613\u61c2,\u91cf\u8207\u91cf\u4e4b\u9593\u7684\u95dc\u4fc2\u53c8\u5f88\u660e\u78ba\uff0c\u4fbf\u65bc\u5b78\u751f\u89e3\u7b54\u5982\u4e0a\u6240\u8ff0\u7684\u5be6\u969b\u554f\u984c\u3002\u5217\u8868\u6cd5\u6e05\u6670\u660e\u4e86\uff0c\u4fbf\u65bc\u5206\u6790\u6bd4\u8f03\u3001\u63d0\u793a\u898f\u5f8b\uff0c\u4e5f\u6709\u5229\u65bc\u8a18\u61b6\u3002\u9019\u65b9\u6cd5\u5c07\u4f86\u53ef\u61c9\u7528\u65bc\u6703\u8a08\u3001\u5de5\u7a0b\u8a2d\u8a08\u3001\u79d1\u5b78\u5404\u65b9\u9762\u3002<\/span><\/strong><\/p>\n

\u7b2c\u4e00\u984c\u89e3\u7b54:<\/strong><\/span>
Tara<\/span>\u00a0\u00a0 <\/span>\u00a0<\/span><\/span>\u00a0<\/span>3<\/span>\u00a0\u00a0\u00a0\u00a0 <\/span>6<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>9<\/span>\u00a0\u00a0\u00a0\u00a0 <\/span>12<\/span>\u00a0\u00a0\u00a0 <\/span>15<\/span>\u00a0<\/span>\u00a0 <\/span><\/span><\/strong>
\u00a0<\/span>Amy<\/span>\u00a0 <\/span>\u00a0<\/span><\/span>\u00a0<\/span>5<\/span>\u00a0\u00a0\u00a0 <\/span>10<\/span>\u00a0\u00a0\u00a0 <\/span>15<\/span>\u00a0\u00a0\u00a0 <\/span>20<\/span>\u00a0\u00a0\u00a0 <\/span>25<\/span>\u00a0\u00a0 <\/span><\/span><\/strong><\/p>\n

2 x (5-1) \u2260 3 x (3 + 1),\u00a0\u00a0\u00a0 \u00a0\u00a0 \u5373 8 \u2260 12<\/strong>
2 x (10 -1) \u2260 3 x (6 + 1) ,\u00a0\u00a0 \u5373 18 \u2260 21<\/strong>
2 x (15 -1) \u2260 3 x (9+ 1),\u00a0 \u00a0\u00a0 \u5373 28 \u2260 30<\/strong>
2 x (20 – 1) \u2260 3 x (12 + 1),\u00a0 \u5373 38 \u2260 39<\/strong>
2 x (25 – 1) = 3 x (15 + 1), \u00a0\u5373 48 = 48<\/span><\/strong><\/p>\n

\u6240\u4ee5\u7b54\u6848\u662fAmy\u525b\u958b\u59cb\u64c1\u670925\u9846\u5f48\u73e0\u3002<\/strong><\/span><\/p>\n

\u7b2c\u4e8c\u984c\u89e3\u7b54:<\/strong><\/span>
Leah<\/span>\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>1<\/span>\u00a0\u00a0\u00a0 <\/span>2<\/span>\u00a0 <\/span>\u2026<\/span>\u00a0\u00a0<\/span>9<\/span>\u00a0\u00a0\u00a0 <\/span>10<\/span>\u00a0\u00a0 <\/span>\u00a0<\/span>11<\/span>\u00a0\u00a0 <\/span><\/strong>
Jackson<\/span>\u00a0\u00a0 <\/span>22<\/span>\u00a0\u00a0 <\/span>23 \u2026<\/span>\u00a0\u00a0\u00a0<\/span>31<\/span>\u00a0\u00a0\u00a0<\/span>32<\/span>\u00a0\u00a0\u00a0 <\/span>33<\/span><\/strong>
\u56e0\u6b64\u7b54\u6848\u662fLeah \u51fa\u751f11 \u5e74\u5f8c\uff0c\u53732011\u5e74\u4e00\u6708\u4e00\u65e5 \u3002<\/strong><\/p>\n

\u7b2c\u4e09\u984c\u89e3\u7b54:<\/strong><\/span>
\u5973\u5152\u5e74\u7d00<\/span><\/span>:<\/span>\u00a0\u00a0\u00a0 <\/span>11<\/span>\u00a0\u00a0 <\/span>12<\/span>\u00a0\u00a0\u00a0 <\/span>13<\/span>\u00a0\u00a0 <\/span>14<\/span><\/span><\/strong>
\u6bcd\u89aa\u5e74\u7d00<\/span><\/span>:<\/span>\u00a0\u00a0\u00a0 <\/span>11<\/span>\u00a0\u00a0 <\/span>21<\/span>\u00a0\u00a0\u00a0 <\/span>31<\/span>\u00a0\u00a0 <\/span>41<\/span><\/span><\/strong><\/p>\n

\u5f88\u986f\u7136 11, 12 \u4e0d\u662f\u7b54\u6848\u3002<\/strong>
2 x (13+13) \u2260 31 + 13, \u5373 52 \u2260 44<\/strong>
2 x (14+13) = 41+ 13, \u00a0\u5373 54 = 54<\/strong>
===> \u56e0\u6b64\uff0c\u5973\u5152\u662f14 \u6b72, \u5abd\u5abd\u662f 41 \u6b72\u3002<\/strong><\/p>\n

\u4e09\u3001\u4ee3\u6578\u89e3\u7b54\u6cd5<\/strong><\/span><\/p>\n

\u7b2c\u4e00\u984c\u89e3\u7b54:<\/strong><\/span>
\u5047\u8a2dTara \u525b\u958b\u59cb\u64c1\u67093x\u7684\u5f48\u73e0\u3002\u5247Amy \u61c9\u64c1\u67095x \u7684\u5f48\u73e0\u3002\u56e0\u6b64\uff0c\u4f9d\u63d0\u6240\u5f97\u7684\u4ee3\u6578\u65b9\u7a0b\u5f0f\u662f: 3 ( 3x+1) = 2 (5x-1)\u00a0 ==>\u00a0 x = 5.<\/strong>
\u56e0\u6b64\uff0cAmy \u525b\u958b\u59cb\u64c1\u67095×5=25\u9846\u5f48\u73e0\u3002<\/strong><\/p>\n

\u7b2c\u4e8c\u984c\u89e3\u7b54:<\/strong><\/span>
\u7576Leah \u662f x \u6b72\u6642\uff0c Mr. Jackson \u662f 22+x \u6b72\uff0c\u56e0\u6b64\u4ee3\u6578\u65b9\u7a0b\u5f0f\u662f:<\/strong>
3x = 22 + x\u00a0 ==>\u00a0 x =11.<\/span><\/strong><\/p>\n

\u7b54\u6848\u662f11 \u5e74\u5f8c\uff0c\u53732011\u5e74\u4e00\u6708\u4e00\u65e5 \u3002 (2000+11 = 2011).<\/strong><\/span><\/p>\n

\u7b2c\u4e09\u984c\u89e3\u7b54:<\/strong><\/span>
\u5047\u8a2d\u5973\u5152\u7684\u5e74\u7d00\u662f10x + y, \u5247\u6bcd\u89aa\u7684\u5e74\u7d00\u662f 10y+x.<\/strong>
13 \u5e74\u5f8c, 10y+x+13 = 2 (10x+y+13)\u00a0\u00a0\u00a0 ==>\u00a0\u00a0 \u00a08y = 19x+ 13.<\/strong>
\u56e0x \u53cay \u5fc5\u9808\u662f\u55ae\u4f4d\u6b63\u6574\u6578 (\u5c0f\u65bc10), \u552f\u4e00\u7684\u89e3\u7b54\u662f x= 1, and y =4.<\/strong><\/p>\n

==> \u56e0\u6b64\uff0c\u5973\u5152\u7684\u5e74\u7d00\u662f10×1+4 = 14 \u6b72, \u5abd\u5abd\u7684\u5e74\u7d00\u662f 10×4+1=41 \u6b72\u3002<\/strong><\/p>\n

[\u4fe1\u5805\u8a3b<\/span>: 8y=19x+13 \u7684\u89e3\u6cd5\u662f\u5148\u5c07\u6b64\u65b9\u7a0b\u5f0f\u6539\u5beb\u70ba y=[16x+8+3x+5)]\/8<\/strong>
=> y=2x+1+[(3x+5)\/8] ==> 3x+5=8, or x=1. ==> y=4.]<\/strong><\/p>\n

\u56db\u3001\u5217\u8868\u89e3\u7b54\u6cd5\u7b54\u61c9\u7528\u4e4b\u4e00: \u97d3\u4fe1\u9ede\u5175
\u76f8\u50b3\u6f22\u9ad8\u7956\u5289\u90a6\u6709\u5929\u8d81\u559d\u9152\u7684\u6642\u5019\u554f\u5927\u5c07\u8ecd\u97d3\u4fe1\u7d71\u5fa1\u5175\u58eb\u591a\u5c11\uff0c\u97d3\u4fe1\u7b54\u8aaa\uff0c\u6bcf 3\u4eba\u4e00\u5217\u99181\u4eba\u30014\u4eba\u4e00\u5217\u99182\u4eba\u30015\u4eba\u4e00 \u5217\u99184\u4eba\u3002\u5289\u90a6\u8207\u5f35\u826f\u90fd\u7b97\u4e0d\u51fa\u4f86\uff0c \u6240\u4ee5\u5289\u90a6\u66ab\u6642\u4e0d\u6562\u52d5\u624b\u3002\u82e5\u5047\u8a2d\u5df2\u77e5\u4eba\u6578\u5c07\u8fd1\u4e00\u842c, \u554f\u97d3\u4fe1\u7a76\u7adf\u7d71\u5fa1\u591a\u5c11\u5175\u5462?<\/span> <\/strong><\/span><\/p>\n

\u5217\u8868\u89e3\u7b54:<\/strong>
3n<\/span>1<\/span><\/sub>+1\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0 \u00a07\u00a0\u00a0 10\u00a0 13\u00a0\u00a0 16\u00a0\u00a0 19\u00a0\u00a0 22\u00a0\u00a0 25\u00a0\u00a0 28\u00a0\u00a0 31\u00a0\u00a0 34<\/span>\u00a0\u00a0 37\u00a0\u00a0 40<\/strong>
4n<\/span>2<\/span><\/sub>+2\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0 10\u00a0\u00a014\u00a0\u00a018\u00a0\u00a0 22\u00a0\u00a0 26\u00a0\u00a0 30\u00a0\u00a0 34\u00a0<\/span>\u00a0 38\u00a0\u00a0 42<\/strong>
5n<\/span>3<\/span><\/sub>+4\u00a0\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0 14\u00a0 19\u00a0\u00a0 24\u00a0\u00a0 29\u00a0\u00a0 34\u00a0\u00a0<\/span> 39\u00a0\u00a0 44<\/strong><\/p>\n

\u56e03x4x5=60\uff0c \u6240\u670960\u7684\u500d\u6578\u52a0\u4e0a 34 \u90fd\u662f\u7b54\u6848\u7684\u5019\u9078\u6578\u503c\uff0c\u5982 60+34=94\uff0c 60×12+34 = 754, \u7b49\u7b49\u3002\u56e0 <\/strong>10000\u00f760 = 166×60 +40 ==> \u6240\u4ee5 60×166+34 = 9994 \u662f\u6700\u63a5\u8fd1\u4e00\u842c\u7684\u6578\u503c\u3002\u56e0\u6b64\uff0c<\/strong>\u97d3\u4fe1\u7d71\u9818 9994 \u540d\u5175\u58eb\u3002<\/strong><\/p>\n

\u4e94\u3001\u5217\u8868\u89e3\u7b54\u6cd5\u7b54\u61c9\u7528\u4e4b\u4e8c: \u96de\u5154\u540c\u7c60\u554f\u984c<\/strong><\/span>
\u96de\u5154\u540c\u7c60\u554f\u984c\u662f\u4e00\u985e\u4e2d\u570b\u53e4\u4ee3\u8457\u540d\u7684\u7b97\u8853\u554f\u984c\uff0c\u6700\u65e9\u53ef\u4ee5\u8ffd\u6eaf\u81f3\u5357\u5317\u671d\u6642\u671f\u7684\u6578\u5b78\u8457\u4f5c\u300a\u5b6b\u5b50\u7b97\u7d93\u300b\u3002<\/strong><\/p>\n

\u554f\u984c\u7684\u539f\u6587: \u4eca\u6709\u96de\u3001\u5154\u540c\u7c60\uff0c\u4e0a\u6709\u4e09\u5341\u4e94\u982d\uff0c\u4e0b\u4e5d\u5341\u56db\u8db3\u3002\u554f\u96de\u3001\u5154\u5404\u5e7e\u4f55\uff1f <\/span><\/strong>\u7528\u767d\u8a71\u6587\uff0c\u5c31\u662f\u8aaa\uff1a\u300c\u540c\u4e00\u7c60\u5b50\u88e1\u88dd\u6709\u96de\u548c\u5154\u5b50\u3002\u5f9e\u4e0a\u9762\u6578\u4e00\u5171\u6709\u4e09\u5341\u4e94\u500b\u982d\uff0c\u5f9e\u4e0b\u9762\u6578\u4e00\u5171\u6709\u4e5d\u5341\u56db\u96bb\u8173\uff0c\u554f\u4e00\u5171\u6709\u591a\u5c11\u96bb\u96de\u3001\u591a\u5c11\u96bb\u5154\u5b50\uff1f\u300d<\/strong><\/p>\n

\u96de\u00a0\u00a0 \u5154\u00a0\u00a0 \u8173<\/strong>
35\u00a0\u00a0 0\u00a0\u00a0\u00a0 70<\/strong>
34\u00a0\u00a0 1\u00a0\u00a0\u00a0 72\u00a0\u00a0\u00a0 \u6bcf\u589e\u52a0\u4e00\u96bb\u5154\u5b50\uff0c\u5c31\u591a\u5169\u96bb\u8173<\/strong>
33\u00a0 \u00a02\u00a0\u00a0\u00a0 74\u00a0\u00a0\u00a0 \u56e0\u6b64\u8981\u9054\u5230 94 \u96bb\u8173\uff0c\u9808\u8981 (94-70)\/2 = 12\u96bb\u5154\u5b50<\/strong>
\u2026<\/strong>
23\u00a0\u00a0 10\u00a0\u00a0 90<\/strong>
24\u00a0\u00a0 11\u00a0\u00a0 92<\/strong>
25\u00a0\u00a0 12\u00a0\u00a0 94\u00a0\u00a0\u00a0 \u6b63\u78ba\u7b54\u6848<\/strong><\/p>\n

[\u8a3b: \u4ee3\u6578\u7b97\u6cd5: \u5047\u8a2d\u96de\u6709X\u96bb\uff0c\u5154\u6709Y \u96bb\uff0c\u5247 X+Y=35\uff0c2X+4Y = 94 \uf0e8==> X = 23, Y = 12]<\/strong><\/p>\n

\u516d\u3001\u5217\u8868\u89e3\u7b54\u6cd5\u7b54\u61c9\u7528\u4e4b\u4e09: \u559d\u6c7d\u6c34\u7684\u7b97\u6578\u554f\u984c<\/strong><\/span>
\u963f\u516c\u88ab \u7d18\u71c1\u5148\u751f \u8003\u5f97\u550f\u54e9\u547c\u9b6f\uff0c\u5fc3\u6709\u4e0d\u7518\uff0c\u56e0\u6b64\u51fa\u4e86\u4e00\u500b\u559d\u6c7d\u6c34\u7684\u7b97\u6578\u554f \u984c\u4e26\u9644\u734e\u91d1 $10. \u60f3\u60f3\u9019\u4e00\u5b9a\u53ef\u628a\u7d18\u71c1\u5148\u751f\u8003\u5012\u3002<\/strong><\/p>\n

\u554f\u984c: You have $16, and you can buy a coke for $2 each. For two empty bottles, you can exchange for a bottle of coke. And for four caps, you can also exchange for a coke. What are the total numbers of cokes that you can drink?<\/strong>
\u5982\u679c\u4f60\u6709 $16, \u6bcf $2 \u53ef\u8cb7\u4e00\u74f6\u53ef\u6a02\u3002 \u6bcf\u5169\u500b\u7a7a\u74f6 \u53ef\u63db\u4e00\u74f6\u53ef\u6a02\uff0c\u6bcf\u56db\u500b\u74f6\u84cb \u53ef\u63db\u4e00\u74f6\u53ef\u6a02\u3002\u554f: \u4f60\u7e3d\u5171\u53ef\u559d\u5e7e\u74f6\u53ef\u6a02?<\/strong><\/p>\n

\u4e0d\u6599\uff0c\u7d18\u71c1\u5148\u751f\u65bc\u4e94\u5206\u9418\u5167\uff0c\u7528\u5217\u8868\u89e3\u7b54\u5982\u4e0b\u3002<\/strong><\/p>\n

\u6c7d\u6c34\u00a0\u00a0 \u7a7a\u74f6\u63db\u6c7d\u6c34\u00a0\u00a0 \u74f6\u84cb\u63db\u6c7d\u6c34\u00a0\u00a0 \u5269\u4e0b\u7a7a\u74f6\u00a0\u00a0\u00a0 \u5269\u4e0b\u74f6\u84cb<\/strong>
8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00<\/strong>
6\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/strong>
4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/strong>
3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/strong>
2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/strong>
1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/strong>
2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/strong>
1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/strong>
_________________________________________________________<\/strong>
27\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/strong><\/p>\n

\u5f97\u5230\u7b54\u6848\u662f 27\u74f6\u3002[\u901a\u7528\u516c\u5f0f\u662f 4n\u20135. n\u662f\u525b\u958b\u59cb\u8cb7\u7684\u74f6\u6578\u3002]<\/strong><\/p>\n

\u9019\u65b9\u6cd5\u8ddf\u4fe1\u5805\u5712\u5730\u7684\u5217\u8868\u89e3\u7b54\u76f8\u4f3c(\u8acb\u770b “\u559d\u6c7d\u6c34\u7b97\u8853\u554f\u984c\u7684\u5713\u6eff\u89e3\u7b54\u53ca\u555f\u793a<\/a>” \u4e00\u6587)\uff0c\u4f46\u591a\u4e86\u5169\u884c\uff0c\u53ef\u80fd\u662f\u4f9d\u4ed6\u7684\u5c0f\u8166\u7b4b\u7684\u8a08\u7b97\u65b9\u5f0f\u8a2d\u5b9a\u3002\u76f8\u7576\u96e3\u80fd\u53ef\u8cb4\u3002<\/strong><\/p>\n

\u6c7d\u6c34\u00a0\u00a0\u00a0\u00a0 \u00a0\u7a7a\u74f6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u74f6\u84cb<\/strong>
8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8 <\/strong>
4+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+6<\/strong>
3+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+4<\/strong>
2+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a00+3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2+3<\/strong>
1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+2<\/strong>
1+0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3+1<\/strong>
1+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0+2\u00a0\u00a0\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\u00a0\u00a0 2+1<\/strong>
____________________<\/strong>
27\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3<\/strong><\/p>\n

[\u4fe1\u5805\u8a3b: \u7e7c\u7e8c\u6b64\u554f\u984c\uff0c\u662f\u91cf\u5b50\u529b\u5b78<\/strong>\u6240\u8b02\u771f\u7a7a\u6ce2\u52d5 (vacuum fluctuation) : \u7531\u65bc\u771f\u7a7a\u6ce2\u52d5\uff0c\u6703\u66ab\u6642\u7522\u751f\u6b63\u8ca0\u6578\u503c (\u6b63\u8ca0<\/strong>\u7c92\u5b50)\u3002\u56e0\u6b64\uff0c\u7e7c\u4e0a\u7b54\u6848\uff0c\u53ef\u518d\u7e7c\u7e8c\u7b97\u4e0b\u53bb:<\/strong><\/p>\n

27\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (-5+5)+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (-5+5)+3<\/strong>
3+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -5+5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -5+5<\/strong>
________________________<\/strong>
32\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/strong><\/p>\n

\u56e0\u6b64\uff0c\u7e3d\u5171\u53ef\u559d 32\u74f6\u6c7d\u6c34\u3002\u6c92\u5269\u4e0b\u7a7a\u74f6\u6216\u74f6\u84cb\u3002]<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

\u524d\u8a00 \u4e0a\u500b\u6708\u4e2d\uff0c\u4fe1\u5805\u5230\u66fc\u54c8\u9813 (Manhattan) \u542b\u98f4\u5f04\u5b6b\uff0c\u9806\u4fbf\u904e\u611f\u6069\u7bc0\u3002\u5b6b\u5b50\u7d18\u71c1\u5148\u751f\uff0c\u525b\u4e0a\u5c0f\u5b78\u56db\u5e74\u7d1a\u3002\u5e36\u56de\u4e86\u5e7e\u984c\u5b78\u6821\u7684\u7b97\u8853\u4f5c\u696d\uff0c\u4e5f\u9806\u4fbf\u8003\u8003\u963f\u516c\u3002(\u53ea\u80fd\u7528\u7b97\u6578\uff0c\u4e0d\u51c6\u7528\u4ee3\u6578\u3002\u56e0\u70ba\u5c0f\u5b78\u751f\u9084\u6c92\u5b78\u4ee3\u6578\u3002) \u9019\u53ef\u628a\u963f\u516c\u8003\u5012\u4e86\u3002\u56e0\u70ba\u6211\u5011\u5728\u5c0f\u5b78\u88e1\u6c92\u6709\u5b78\u5230\u5982\u4f55\u89e3\u9019\u7a2e\u7b97\u6578\u554f\u984c\u3002\u624d\u77e5\u7b97\u8853\u662f\u6d3b\u7684\uff0c\u4e0d\u662f\u6b7b\u7684\u6578\u5b57\u3002\u5927\u5bb6\u53ef\u4ee5\u8003\u8003\u81ea\u5df1\u6216\u81ea\u5df1\u7684\u5c0f\u5b69\uff0c\u6e2c\u8a66\u4e00\u4e0b\u5927\u5bb6\u7684\u7b97\u8853\u80fd\u529b\u3002 \u4e00\u3001\u4e09\u689d\u5c0f\u5b78\u56db\u5e74\u7d1a\u7684\u7b97\u8853\u554f\u984c 1. Amy began with 5 marbles for every 3 marbles that Tara had. After Amy gave 1 marble to Tara, then 3 time Tera had is equal to twice Amy had. How many marbles … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,49],"tags":[],"class_list":["post-6639","post","type-post","status-publish","format-standard","hentry","category-1","category-49"],"_links":{"self":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/6639","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6639"}],"version-history":[{"count":23,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/6639\/revisions"}],"predecessor-version":[{"id":6725,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=\/wp\/v2\/posts\/6639\/revisions\/6725"}],"wp:attachment":[{"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.worldofmastermind.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}