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圆锥曲线终极公式表圆锥曲线知识点汇总

  • 2026-11-04 16:07:41

圆锥曲线终极公式表圆锥曲线知识点汇总

给高二、高三的孩子们整理了一份【圆锥曲线终极工具表】。这部分公式记混、焦点位置搞错、焦半径算半天……圆锥曲线不是靠死算的，而是靠“模型”和“工具”。
我把椭圆、双曲线、抛物线的所有核心考点、二级结论、焦点三角形公式，浓缩成了这几张表。
建议高中生直接打印出来，贴在书桌前，每次做题卡壳时看一眼，比翻课本快一百倍。
需要【高清无水印打印版】的家长，直接私信我，免费发给大家。只希望能帮孩子们，在理科上少走点弯路。
#高中数学#圆锥曲线#杜娟的理科笔记#海口教育#独立老师

海南,4小时前,
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  1. CONNECT:[ UseTime:0.000564s ] mysql:host=172.18.0.4;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000561s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000299s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000312s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000505s ]
  6. SELECT * FROM `set` [ RunTime:0.000258s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000610s ]
  8. SELECT * FROM `article` WHERE `id` = 536676 LIMIT 1 [ RunTime:0.000410s ]
  9. UPDATE `article` SET `lasttime` = 1793788607 WHERE `id` = 536676 [ RunTime:0.001055s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000362s ]
  11. SELECT * FROM `article` WHERE `id` < 536676 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000461s ]
  12. SELECT * FROM `article` WHERE `id` > 536676 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000347s ]
  13. SELECT * FROM `article` WHERE `id` < 536676 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000432s ]
  14. SELECT * FROM `article` WHERE `id` < 536676 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000418s ]
  15. SELECT * FROM `article` WHERE `id` < 536676 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000445s ]
0.115825s