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南京2026高三一模数学试卷分析

  • 2026-02-15 00:40:04
南京2026高三一模数学试卷分析
南京2026高三期末调研数学试卷分析
全卷简评

    2026南京高考一模数学整体难度中等,成绩中上的学生前面的填空和选择基本不会出现卡壳的情况,比较理想的是在35分钟内完成前面的填选。

   大题前2题比较基础,属于最基本知识的考察;

    17题的解三角形的第二问是最值问题比较常见的考法,熟练的学生也能够轻松应对;

    18题第二问是隐藏的点差法,发现后会很轻松解决,如果硬算的话会比较麻烦。

    19题第二问是含有三角函数的恒成立证明,属于常见考法,第三问难度较大,需要结合第二问的结论去放缩证明,属于拉开差距的一问。

    综观整张试卷,2小时的时间应该是绰绰有余,120+可以算是基础扎实,如果低于120,那就需要对平时的基本知识以及常见解题方法的技巧再去好好梳理一遍,类似于解析几何的题目要优先去思考,数形结合,不能一味的死算。导数题的第二问往往对第三问有提示作用,可以好好利用。

考点分布
典型题目

8题、指对同存的最值问题,优先考虑构造+消元,理解了就可以很快转化为t的函数,从而求解。

10题、考察的概率的对立、独立和条件概率,合理的分类并利用概率公式可以比较轻松的解决,难度适中;

11题、立体几何的翻折问题,图形比较特殊,都是常见的考察方向,D选项可以利用鳄鱼模型快速秒杀。

14题、也是一个老题,属于三角函数图像的解图题,难度中等。

17题、解三角形的最值问题,有点类似于2022高考大题第1题,转化角度的关系,利用外接圆半径去边化角,从而转化为单元问题的最值问题,但要注意大题需要写出新的未知量的范围,再去求解最值,思路清晰,步骤稍长,难度适中

18题、解析几何的压轴题,第二问熟练运用点差法可以轻松解决,但要注意点差法需要证明;第三问需要转化面积,从而简化解题步骤,碰到面积的问题都要想到去转化,这个是比较重要的思维

17题、导数压轴,结合三角函数是最近高考的一种热门考法。本题第二问的证明是三角函数+导数的常见证明思路,难度中等;第三问属于本卷最难的,后续碰到复杂的形式证明,优先考虑简化。本题第二问的证明可以作为突破口,发现恰好可以转为,刚好中有这部分,当然,第二问的证明需要再去拓展到一般的区间形式,再去化简,从而完成解题,思维量较大,需要细心分析。
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  138. /yingpanguazai/ssd/ssd1/www/b.460.net.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/b.460.net.cn/runtime/temp/b35eef690f41e64ad9e1c098cfc7d3bc.php ( 11.98 KB )
  140. /yingpanguazai/ssd/ssd1/www/b.460.net.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000826s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001360s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000584s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000582s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001090s ]
  6. SELECT * FROM `set` [ RunTime:0.000464s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001170s ]
  8. SELECT * FROM `article` WHERE `id` = 466793 LIMIT 1 [ RunTime:0.000830s ]
  9. UPDATE `article` SET `lasttime` = 1771738226 WHERE `id` = 466793 [ RunTime:0.001339s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000478s ]
  11. SELECT * FROM `article` WHERE `id` < 466793 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.002445s ]
  12. SELECT * FROM `article` WHERE `id` > 466793 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000888s ]
  13. SELECT * FROM `article` WHERE `id` < 466793 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.004124s ]
  14. SELECT * FROM `article` WHERE `id` < 466793 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001176s ]
  15. SELECT * FROM `article` WHERE `id` < 466793 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001639s ]
0.163796s