当前位置：首页>南京>好题回顾:25年南京二模第18题隐双曲线

好题回顾:25年南京二模第18题隐双曲线

  • 2026-03-24 02:28:46
好题回顾:25年南京二模第18题隐双曲线

关键词：思想纯粹，稳定情绪，适度锻炼，激发潜能，保持节奏，时刻细心，相信自己

考题速递：江苏省南京市2025届高三年级第二次模拟考试数学试卷及答案

   试题源自：25年南京二模第18题，解析来源于数海漫游林老师—— 这道题的难度并不是特别大，但这道题的结论非常漂亮，而且大部分同学之前都不知道这个性质。我们一般了解的是，在下图中，G、D分别为C的左、右顶点，则DE、FG的交点N的轨迹是直线的一部分（即极点Q所对应的极线）。

    但这道题给出了以下超美结论：在下图中，A、B分别是C的左、右焦点，则BE、AF的交点M的轨迹是双曲线的一部分。

    在课上，我们用两种自然、优美的思路给出了这个结论的两种截然不同的证明方法，在这里也分享给大家。值得一提的是，在备考过程中，我们不仅要做“好题”，一些漂亮、少见的“二级结论”，也是非常值得学习的！

考题溯源：
2023年星云五一联考试题（全部试题可见文末）
考题速递：2025 年1月江苏南京、盐城上学期期末联考数学试卷及答案
考题速递：2025届南京市、盐城市一模数学试题及答案
真题回顾：2012年高考江苏卷解析几何19题一题五解
真题妙解：江苏卷19题解析几何的巅峰之作及09年江西卷22题四种解法
考题溯源：南京盐城高三一模第18题母题来自于这道14年前的优质高考题
考题速递：华附、省实、广雅、深圳中学2024四校联考高二期末数学试卷及答案
隐双曲线:2025届高三南京二模T18隐椭圆:2025届高三杭州二模T18
考题速递：2024学年第二学期杭州市高三年级教学质量检测数学试题及答案（杭州二模）
附试题全部
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  140. /yingpanguazai/ssd/ssd1/www/b.460.net.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000927s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001580s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000682s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000651s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001311s ]
  6. SELECT * FROM `set` [ RunTime:0.000488s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001427s ]
  8. SELECT * FROM `article` WHERE `id` = 513201 LIMIT 1 [ RunTime:0.001054s ]
  9. UPDATE `article` SET `lasttime` = 1774308236 WHERE `id` = 513201 [ RunTime:0.001575s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000674s ]
  11. SELECT * FROM `article` WHERE `id` < 513201 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001139s ]
  12. SELECT * FROM `article` WHERE `id` > 513201 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001432s ]
  13. SELECT * FROM `article` WHERE `id` < 513201 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001627s ]
  14. SELECT * FROM `article` WHERE `id` < 513201 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001851s ]
  15. SELECT * FROM `article` WHERE `id` < 513201 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001696s ]
0.103245s