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最优秀高中物理课本,带我们进行根源性思考

  • 2026-04-04 15:49:12
最优秀高中物理课本,带我们进行根源性思考
思考有不同的维度:思考的快慢,思考的多少,思考的系统性,思考的深度。
一个人可能思考速度很快,但没有条理;另一个人可能思考得很多,但没有深度(就如同在地上挖坑,挖了1000个坑,倒是没歇着,但一直都停在地面以下0.5米内。0.5米以下是什么?他永远不知道。)
说到深度,许多人有一种误解。他们以为,深度一定是很难的,只有达到很高的水准以后,才可以去追求深度。这是把深度与难度混为一谈了。
实际上,深度与难度没有关系。有深度的东西不见得很难,很难的东西也不见得有深度。
关于后一种情况,有一个常见的例子:小学和初中的许多数学题,非常难(它们就是专门设计出来把人难住的);但是它们有深度吗?一点都没有。
另一方面,许多有深度的知识并不难。这方面的例子有:平面图形面积的定义;圆的周长与直径的比值,与圆的大小无关。不过,很可能一些老师没有重视这类知识。
再来看一个物理课上的例子。
我们都在物理课上,学过用天平测量质量的方法。把天平放在水平台面上,等等等等。我们也做过不少用天平测量质量的题目,没什么意思,对吧?
那么,请来看下面的两道题:
第1题:如果你有一个等臂天平与一个质量为1kg的物体,请说明,你怎样用它们得到0.5kg的质量。
第2题:假设你有一个质量为1kg的物体,你想得到另一个质量也为1kg的物体,但是你对你手头的等臂天平不太信任(你怀疑它两臂不一样长)。你把已知质量为1kg的物体放在天平的一个盘内,对另一个物体进行处理,直到把新物体放在另一个盘里时,天平的臂处于水平。
(a)你怎样区分,天平是等臂的,从而新物体的质量与已知物体的相等,还是天平两臂不等,从而新物体质量与已知物体的不相等?
(b)为了完成任务,你不但需要继续对新物体进行处理,还必须调整天平的两臂。你怎样分辨,哪个物体的质量更大,天平的哪个臂更长?
这是PSSC高中物理课本第7章“质量与元素”章末的两道题。
你肯定意识到了,这两道题,属于科学家或技术人员本人在实际工作时会面临的问题!
有了一个质量标准后,怎样得到质量等于它的1/100,1/10,或1/2的质量呢?(它们不是天然存在的)
我们通过让等臂天平的臂处于水平,来保证两个盘内的质量相等,但是,我们怎么确保天平的两臂等长呢?
你看,这两道题目把我们带到有关知识的源头。
可是,它们很难吗?我们常见的许多高中物理题,都比这两道题难得多。
我想起,被誉为“物理教师的教师”的阿诺德·阿伦斯,在他的书中提出这个问题:
不使用专门的设备,怎样在地面定出东南西北几个方向?
——只有你知道怎样做,你才算理解东南西北的精确含义,才算懂得这几个概念的根源。否则,你对它们的认识就是模糊的。
上文选自“科学的故事”5本学习资料中的第3本《物理教科书名著品读》。
“科学的故事”5本学习资料(2026年版)

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  1. CONNECT:[ UseTime:0.000525s ] mysql:host=127.0.0.1;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000765s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000312s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000254s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000463s ]
  6. SELECT * FROM `set` [ RunTime:0.000195s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000490s ]
  8. SELECT * FROM `article` WHERE `id` = 464995 LIMIT 1 [ RunTime:0.002611s ]
  9. UPDATE `article` SET `lasttime` = 1775524685 WHERE `id` = 464995 [ RunTime:0.013547s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000260s ]
  11. SELECT * FROM `article` WHERE `id` < 464995 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.008930s ]
  12. SELECT * FROM `article` WHERE `id` > 464995 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000386s ]
  13. SELECT * FROM `article` WHERE `id` < 464995 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002311s ]
  14. SELECT * FROM `article` WHERE `id` < 464995 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.037584s ]
  15. SELECT * FROM `article` WHERE `id` < 464995 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.010081s ]
0.145039s