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2026年南通市二模数学试卷

  • 2026-05-25 13:01:28
2026年南通市二模数学试卷

2026年南通市二模数学试卷:一套值得反复打磨的“思维体操”。随着高考日益临近,各地模拟卷如雨后春笋般涌现。而在众多模拟卷中,2026年南通市二模数学试卷,凭借其扎实的基础考查、巧妙的思维设计和贴近新高考理念的布局,脱颖而出,堪称一份值得每一位高三学子认真研读、反复打磨的优质试卷。

一、结构规范,全面对标新高考

全卷严格遵循新高考试卷结构:选择题8道(40分)、多选题3道(18分)、填空题3道(15分)、解答题5道(77分),总分150分。时间、分值、题型分布均与高考高度一致,帮助考生在实战中熟悉节奏,校准应试策略。

二、基础与创新并重,亮点频出

1、传统考点中见新意

1题集合运算、第2题复数虚部、第3题向量模长——看似常规,却在细微处考查学生对概念本质的理解。例如第3题,若不慎忽略单位向量夹角120°的余弦值为负,极易出错。这类题目提醒考生:基础不等于简单,细心才是高分的前提。

2、应用题贴近现实,素养导向鲜明

4题以足球联赛进球数为背景,考查平均数与标准差的实际意义。既避免纯计算枯燥,又引导考生用统计思维解读现实问题,体现了新高考“素养立意”的命题方向。

3、函数与导数:层层递进,思维量足

7题综合了导数符号、函数平移与奇偶性、指数对数比较大小,一道小题串联多个核心知识点,思维链条较长,对学生的逻辑整合能力提出了较高要求。第17题更是将极值点、切线平行、存在性问题融为一体,既考查计算能力,也考查数形结合与逻辑推理,是典型的“压轴题风格”。

4、解析几何:定值与最值的经典回归

18题以椭圆为载体的对称性、定值问题,延续了江苏卷一贯的“几何味道”。第(2)问中证明 |OM|·|ON| 为定值,以及求三角形面积最大值,都需要学生合理设参、耐心化简,体现了解析几何“用代数方法研究几何性质”的本质。

5、概率统计:递推思想与条件概率深度结合

19题以资格等级考试为背景,巧妙引入递推数列求概率、条件概率比较。不仅考查了独立事件、互斥事件、全概率公式,更在第(3)问中引导考生思考 P(Bn|An+1) 与 P(An+1|Bn) 的大小关系,极具思辨性,是一道不可多得的好题。

三、难度适中,区分度良好

整体来看,试卷难度呈阶梯分布:选择题1-6题较为基础,适合快速拿分;第7、8题及多选题第10、11题、填空第14题有一定难度,需谨慎思考;解答题第15题(立体几何)与第16题(解三角形+数列)难度适中,是得分主战场;17-19题逐步提升,尤其是第19题第(3)问,对优秀学生有较强区分作用。总体难度略高于高考平均水平,但不过偏、不过怪,非常适合中等及以上学生进行思维训练与查漏补缺。

四、为什么说这套试卷“值得一做”?

1、考点覆盖全面:集合、复数、向量、统计、解析几何、函数与导数、数列、概率统计、立体几何……几乎无死角,适合模拟实战、检验复习效果。

2、突出数学思想:数形结合(第7、10题)、分类讨论(第11、14题)、转化与化归(第17题)、递推思想(第19题)贯穿始终,有助于提升数学核心素养。

3、贴近高考命题趋势:减少纯技巧性运算,强化概念理解、逻辑推理和实际应用,体现“反刷题、重思维”的命题导向。

4、便于自我诊断:每道题都对应明确的知识点与能力层级,做完后可清晰看出自己在哪个板块存在短板。

写在最后

模拟卷的价值,不在于押题,而在于通过高质量的题目训练,提升自己的思维品质与应试能力。2026年南通市二模数学试卷,正是这样一套能让你在“做中学、错中悟”的好题集。

建议同学们在限时条件下认真完成,之后对照答案逐题分析:哪些是粗心失误,哪些是概念模糊,哪些是思路阻塞。把这份试卷吃透,你的数学实力,一定会上一个新台阶。

好题如良师,一次深度练习,胜过十次盲目刷题。

扫码可以下载本套试卷及参考答案

感兴趣的朋友可以把本公众分享出

              让更多的朋友受益

来源:公共信息整合与改编

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  1. CONNECT:[ UseTime:0.000603s ] mysql:host=127.0.0.1;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000844s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000315s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000307s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000522s ]
  6. SELECT * FROM `set` [ RunTime:0.000221s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000515s ]
  8. SELECT * FROM `article` WHERE `id` = 496146 LIMIT 1 [ RunTime:0.003896s ]
  9. UPDATE `article` SET `lasttime` = 1779748328 WHERE `id` = 496146 [ RunTime:0.019481s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000327s ]
  11. SELECT * FROM `article` WHERE `id` < 496146 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000697s ]
  12. SELECT * FROM `article` WHERE `id` > 496146 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000428s ]
  13. SELECT * FROM `article` WHERE `id` < 496146 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003687s ]
  14. SELECT * FROM `article` WHERE `id` < 496146 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000821s ]
  15. SELECT * FROM `article` WHERE `id` < 496146 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000667s ]
0.102512s