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学习《10的再认识》笔记

  • 2026-04-30 02:44:29
学习《10的再认识》笔记

一、关于《10的认识》需要深入思考:

问题一:10与前面学习的0---9这些数有什么不同？

问题二:9比8大1，10比9也大1，这两个大1是一样的吗？

事物的发展有一个从量变引起质变的过程，从数的表达原理和形式上看，数从0增加到9，是量变，从9增加到10，就发生了质变。

因为这里实际上隐含着非常重要的思想方法——数学抽象及其包含的符号思想。

10比8和9的抽象水平更高，因为10不仅是对任何数量是10的物体的抽象，而且它已经不再用新的数字符号计数了，它借用了0---9中的1和0两个符号表达，采用了伟大的十进位值制计数原理，这是数学发展史上的一个里程碑。

（以上摘录文献）

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  1. CONNECT:[ UseTime:0.000629s ] mysql:host=127.0.0.1;port=3306;dbname=no_67808;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000821s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000334s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000272s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000485s ]
  6. SELECT * FROM `set` [ RunTime:0.000194s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000559s ]
  8. SELECT * FROM `article` WHERE `id` = 484999 LIMIT 1 [ RunTime:0.000432s ]
  9. UPDATE `article` SET `lasttime` = 1777491159 WHERE `id` = 484999 [ RunTime:0.022005s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000422s ]
  11. SELECT * FROM `article` WHERE `id` < 484999 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000594s ]
  12. SELECT * FROM `article` WHERE `id` > 484999 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000447s ]
  13. SELECT * FROM `article` WHERE `id` < 484999 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000738s ]
  14. SELECT * FROM `article` WHERE `id` < 484999 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.003345s ]
  15. SELECT * FROM `article` WHERE `id` < 484999 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001554s ]
0.111033s