世界上最最经典的IQ题,考验你的智力
<div class="t_msgfont" id="message44811"><font size="4">一道真正的智力题吧，据说是世界上目前最好的智力题目。好的智力题目的标准是：1、一般人做不出来或者做不下去。2、不需要知识。 <br/> 看仔细了： <br/> 有十二个乒乓球特征相同，其中只有一个重量异常，现在要求用一部没有砝码的天平称三次，将那个重量异常的球找出来。 <br/> 评分标准： <br/> 1、30分钟以内做出来：智力很高很高很高，不知道有多高。 <br/> 2、60分钟以内做出来：智力很高。 <br/> 3、两小时内做出来： 智力相当高。 <br/> 4、1天或者1周内做出来：智力也很高，而且还是一个有毅力的人。 <br/> 5、10分钟内做出来：你或者以前做过，或者多半是个马虎的人。回去检查答案。</font></div> <p>先分成4/4/4 这样称出来一组有不对的。然后2/2分 又会找出一组不一样的，这期间可以计算出每个球的平均误差，最后一次可以找出来异常的一个。这样不知道答案对不对！</p> <p>我用时约<span lang="EN-US">20</span>分钟，得出答案，步骤如下，请出题人看是否正确。</p><p>步骤如下：<span lang="EN-US"><p></p></span></p><p>一、把球编号，<span lang="EN-US">1</span>－<span lang="EN-US">12</span>号，第<span lang="EN-US">1</span>、<span lang="EN-US">2</span>、<span lang="EN-US">3</span>号球为第<span lang="EN-US">A1</span>组，第<span lang="EN-US">4</span>、<span lang="EN-US">5</span>、<span lang="EN-US">6</span>号球为第<span lang="EN-US">A2</span>组，第<span lang="EN-US">7</span>、<span lang="EN-US">8</span>、<span lang="EN-US">9</span>号球为第<span lang="EN-US">A3</span>组，第<span lang="EN-US">10</span>、<span lang="EN-US">11</span>、<span lang="EN-US">12</span>号球为第<span lang="EN-US">A4</span>组；<span lang="EN-US"><p></p></span></p><p>二、<span lang="EN-US">A1</span>组球与<span lang="EN-US">A2</span>组球放天平上，称第<span lang="EN-US">1</span>次，有两种情况，平衡或不平衡，不平衡记哪组重，哪组轻，放在一旁；<span lang="EN-US"><p></p></span></p><p>如果平衡，</p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;"><span lang="EN-US">1</span>、则第<span lang="EN-US">7</span>、<span lang="EN-US">8</span>、<span lang="EN-US">9</span>、<span lang="EN-US">10</span>、<span lang="EN-US">11</span>、<span lang="EN-US">12</span>号球中必有一球异常，把<span lang="EN-US">7</span>、<span lang="EN-US">8</span>、<span lang="EN-US">9</span>、<span lang="EN-US">10</span>、<span lang="EN-US">11</span>、<span lang="EN-US">12</span>号球分成三组，第<span lang="EN-US">7</span>、<span lang="EN-US">8</span>号为<span lang="EN-US">B1</span>组，第<span lang="EN-US">9</span>、<span lang="EN-US">10</span>号为<span lang="EN-US">B2</span>组，第<span lang="EN-US">11</span>、<span lang="EN-US">12</span>号为<span lang="EN-US">B3</span>组；<span lang="EN-US"><p></p></span></p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;"><span lang="EN-US">2</span>、<span lang="EN-US">B1</span>组球与<span lang="EN-US">B2</span>组球放天平上，称第<span lang="EN-US">2</span>次，有两种情况，一是平衡，一是不平衡。两种情况下均能找出有问题的那一组，也就知道其中一组中有两个中必有一个有异常，把这两个球编号，假设为甲、乙；</p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;"><span lang="EN-US">3</span>、拿刚才平衡中的任一球，与甲放在天平上，称第<span lang="EN-US">3</span>次，如果平衡，则乙为异常球，如果不平衡，甲为异常球。<span lang="EN-US"><p></p></span></p><p><span lang="EN-US"> </span>如果不平衡，<span lang="EN-US"><p></p></span></p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;"><span lang="EN-US">1</span>、第<span lang="EN-US">1</span>组球与第<span lang="EN-US">3</span>组球放天平上，称第<span lang="EN-US">2</span>次，有两种情况，平衡或不平衡，不平衡记哪组重，哪组轻，放在一旁；<span lang="EN-US"><p></p></span></p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;"><span lang="EN-US">2</span>、对以上进行分析，<span lang="EN-US"><p></p></span></p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;">（<span lang="EN-US">1</span>）如果平衡，说明第<span lang="EN-US">2</span>组必有一球异常。而且可知，该球轻或重于其它球； 把第<span lang="EN-US">2</span>组中的球两个互称，如果平衡，则另一个为异常球；如果不平衡，根据刚才记录下来的球轻重情况，知道异常球；<span lang="EN-US"><p></p></span></p><p style="MARGIN-LEFT: 35pt; mso-para-margin-left: 2.5gd;">（<span lang="EN-US">2</span>）如果不平衡，说明第<span lang="EN-US">1</span>组必有一球异常。而且可知，该异常球轻或重于其它球；把第<span lang="EN-US">1</span>组中的球两个互称，如果平衡，则另一个为异常球；如果不平衡，根据刚才记录下来的球轻重情况，知道异常球。</p> 真的经典，初看题目以为很简单，真的去想才发现误区和盲点。楼上的兄弟其中一个步骤有漏洞。[此贴子已经被作者于2007-10-15 19:59:32编辑过] 天啊，我回家想想看 <p>想了一下,先分成两组,每组六个,放在天平上,可以发现重的在天平下偏那边,同理重复两次就可以得到!不知是否正确?</p> 6楼的方法我同意，10妙就有答案了，但我觉得题目中是否含有其他意思？请楼主谈谈 <p>异常的球比正常的球轻还是重又要多称一次,是吗?</p> 楼上的兄弟们，这道题如果没有经验的话，相信智商不足160，大概很难在半小时之内确定准确答案。题目中说的是重量异常，即有可能轻也有可能重。也就是说，只通过一次不平衡比较是无法确定异常方向的。<br/>我思考了两个小时，用常规的逐步分析法，最少也需要4次称量。后来想到一个思路，需要结合不同的分析方向。给大家一个提示，需要利用前一步可以确定没有问题的球进行后面的称量，并必须考虑到在不同的称量结果中，同向偏斜和异向偏斜会对分析结果起决定作用。<br/>我想累了，直接到网上查看了标准答案，拍案叫绝。自己的思路方向是接近正确的，如楼主所说，要是能完善整体方案，我大概还需要两个小时的时间（自夸一下，虽然不是天才，俺的IQ也接近了正常人的上限）。就是缺乏毅力。<br/>请大家重新整理思路，这道题真的很牛，期盼能有家人在30分钟之内做出来。让我们看看天才的风采。<br/> <p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">将</span><span lang="EN-US"><font face="">12</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">个球分别标号</span><span lang="EN-US"><font face="">1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">3</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">4</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">5</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">6</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">7</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">8</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">9</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">12</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">，选择左边</span><span lang="EN-US"><font face="">1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">3</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">4</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">和右边</span><span lang="EN-US"><font face="">5</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">6</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">7</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">8</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">称</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 15.75pt; mso-char-indent-count: 1.5;"><span lang="EN-US"><font face="">1.1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果平衡，则</span><span lang="EN-US"><font face="">9</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">12</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">中有异常球，</span><span lang="EN-US"><font face="">1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">3</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">4</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">5</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">6</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">7</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">8</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">为正常球，选择左边</span><span lang="EN-US"><font face="">9</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">和右边</span><span lang="EN-US"><font face="">1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">称</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face=""><span style="mso-spacerun: yes;"> </span><chsdate wst="on" isrocdate="False" islunardate="False" day="30" month="12" year="1899">1.1.1</chsdate>
</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果平衡</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 110.25pt; mso-char-indent-count: 10.5;"><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">则</span><span lang="EN-US"><font face="">12</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">号球为异常球；</span><span lang="EN-US"><span style="mso-spacerun: yes;"><font face=""> </font></span></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face=""><span style="mso-spacerun: yes;"> </span><chsdate wst="on" isrocdate="False" islunardate="False" day="30" month="12" year="1899">1.1.2</chsdate>
</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果不平衡，则</span><span lang="EN-US"><font face="">9</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">有异常球，记录倾斜方向</span><span lang="EN-US"><font face="">A</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">，选择左边</span><span lang="EN-US"><font face="">1</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">2</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">和右边</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">、</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">称</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><span style="mso-spacerun: yes;"><font face=""> </font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果平衡</span><span lang="EN-US"><font face="">,</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">则</span><span lang="EN-US"><font face="">9</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">号球为异常球；</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><span style="mso-spacerun: yes;"><font face=""> </font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果不平衡，且倾斜方向发生改变（与</span><span lang="EN-US"><font face="">A</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">相反），则</span><span lang="EN-US"><font face="">10</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">号球为异常球</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><span style="mso-spacerun: yes;"><font face=""> </font></span></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">如果不平衡，且倾斜方向不发生改变（与</span><span lang="EN-US"><font face="">A</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">一致），则</span><span lang="EN-US"><font face="">11</font></span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: ''; mso-hansi-font-family: '';">号球为异常球</span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US"><font face=""><span style="mso-spacerun: yes;"> </span></font></span></p>