题目：题：我的“错题本”和它教会我的事 早上起床的时候，我习惯性地伸手摸床头的盒子，那里面装着我所谓的“错题本”。

实际上翻一翻，里面明晃晃地写着“错题”二字，内容却是那张被揉皱又展平、字迹潦草的数学卷子。

那会儿总认定这玩意儿是废纸，认定浪费工夫、浪费工夫，认定我是把分数丢进垃圾桶的人。但最近读了那些书，听着那些老师唠叨，我才猛然惊醒：原来，我们所谓的“知识”，大量时候就藏在这些不起眼的“毛病”里。 记得初二那年，我还在为一道勾股定理的几何题绞尽脑汁。

明明课本上公式都背下来了，可一做题就卡壳，还常常出于抄错字母要么列式顺序不对而全盘皆输。

那一刻，我认定自己像个被蒙在鼓里的傻子。直到那次模拟考，我在全家眼昏的时候把试卷撕了个洞，连同那本破旧的错题本一起扔在了阳台的旧沙发角。

反正这学期也没指望考高分了，反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正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