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教材研究20260303——普通高中教科书各版本教材关于圆锥曲线概念溯源暨截口曲线与丹德林双球模型介绍

  • 2026-09-18 04:33:09
教材研究20260303——普通高中教科书各版本教材关于圆锥曲线概念溯源暨截口曲线与丹德林双球模型介绍

人教A版教材 选择性必修第一册 第三章 圆锥曲线的方程 章引言

人教B版教材 选择性必修第一册 第二章 平面解析几何 本章导语

北师大版教材 选择性必修第一册 第二章 圆锥曲线 章引言

北师大版教材 选择性必修第一册 第二章 圆锥曲线 阅读材料

沪教版教材 选择性必修第一册 第2章 圆锥曲线 章引言

沪教版教材 选择性必修第一册 第2章 圆锥曲线  2.4节后 课后阅读

湘教版教材 选择性必修第一册 第3章 圆锥曲线与方程 章引言

湘教版教材 选择性必修第一册 第3章 圆锥曲线与方程 章引言后的数学实验

苏教版教材 选择性必修第一册 第3章 圆锥曲线与方程 章引言

鄂教版教材 选择性必修第一册 第3章 圆锥曲线的方程 章引言

鄂教版教材选 择性必修第一册 第3章 3.1.1 椭圆及其标准方程节后阅读与讨论

对比各版本教材，我们可以发现什么呢？

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  1. CONNECT:[ UseTime:0.000488s ] mysql:host=172.18.0.4;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000865s ]
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  6. SELECT * FROM `set` [ RunTime:0.000322s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000698s ]
  8. SELECT * FROM `article` WHERE `id` = 463518 LIMIT 1 [ RunTime:0.000349s ]
  9. UPDATE `article` SET `lasttime` = 1789885387 WHERE `id` = 463518 [ RunTime:0.001355s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000329s ]
  11. SELECT * FROM `article` WHERE `id` < 463518 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000468s ]
  12. SELECT * FROM `article` WHERE `id` > 463518 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000398s ]
  13. SELECT * FROM `article` WHERE `id` < 463518 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000634s ]
  14. SELECT * FROM `article` WHERE `id` < 463518 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000715s ]
  15. SELECT * FROM `article` WHERE `id` < 463518 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000717s ]
0.089308s