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【高考】2026年高考数学全国丨卷试卷分析

  • 2026-06-16 22:58:56
【高考】2026年高考数学全国丨卷试卷分析

2026年高考全国Ⅰ卷数学试卷评析 

高抒志

今年全国Ⅰ卷数学试卷继续沿用19题模式(8单选题+3多选题+3填空题+5解答题),总分150分,易中难梯度分明。整体难度有所回升,反套路、反机械刷题特征突出,考生体感两极分化。除第19题外,今年的难度从往年集中在大题转变为难度集中在小题,这是下届考生需要注意的一个极大的改变。

这份试卷对于计算能力以及代数与不等式的要求极高,这是往年高考比较少见的。对于考生数学能力的考察、数学思维的训练,非常精准且专业。所以这份试卷的平均分可能不会很好看,大家即使认为自己“发挥一般”,也不必过于焦虑。

前5题难度依旧不大,但相对于前几年“完全在送分”,今年的“简单题”,也加入了很多出题者的小巧思。比如第2、3、5题,都是相对来说较新颖的题型。这种“小巧思”的引入,对于水平低的同学,需要在考场上短时间内适应。

第6题开始有一定的难度,这道第6题,猜出答案很简单(用上ex≥x+1即可),但严谨证明比你想象的复杂非常多,这道“易猜难证”的题目,作为简单题的较难题的过渡,非常精彩!

第7题是全卷高质量的题目之一,贴合今年高考“数学源于生活”的方针。这道题,同学们在考场上比较好想到的方法是——构造法,去尝试构造满足条件的等差数列。然而严谨证明这道题,需要一定的数学素养——对于奇偶性(初等数论)的洞见。属于命题视角较高,但普通同学也能用普通方法做出,两全其美。

第8题反而比第7题更简单,结合空间U的“对称性”,基本可以秒杀这道题。仔细一看,会发现这题非常像去年高考第14题。

第9题是送分题,千万不要算错。

第10题较往年第10题难上些许,有多种解法,既可以几何法,也可以坐标法,入手较宽。

第11题很有意思,四个选项既相关又相斥,计算量大。这道题是对大家数形结合、几何、代数、不等式的全面考察,是绝对的难题。这道题放在考场上,绝对是“毁灭性”的。

第12题中规中矩,可能有很多同学把这道题算错了,实在是非常可惜,也再一次说明计算能力的重要。

第13题再一次比往年第13题难度有所增加。这道题需要运用三角函数奇偶性、图像以及增减区间,然后会发现两个|a|(事实上,a有4个可能取值)对应的f(2π/3)值相等,巧妙且深刻。

第14题也是全卷高质量的题目之一,完全的浙江、江苏压轴题风格,甚至可以说略有竞赛风格。这道题一般同学应该是无法做出的,其核心是注意到连续9项,一定无法形成三组3项等比数列,但一定可以形成两组3项等比数列。

第15、16、17题都是较为基础的题目,只要好好“回归课本”,知道如何求直线到平面的距离、条件概率公式,这三道题基本可以说是送分题。因为选填难度较大,大题前三题再难的话,会让今年的平均分非常难看,所以这三道题可能是被“换上来”的。

第18题较往年这个题号的解析几何,也是偏易的。第2问两小问考察了两个不同知识点,使得这题有“拼凑”与“割裂”之嫌。所以单论大题,第15-18题较往年质量欠佳。但放在整张试卷中看,这四题实则不得不“减少思维量与计算量”。所以总体来看,这四道题还是出得比较合适的。

第19题依旧今年最震撼的一道题。高考注重“反押题”,没想到“新题型”时隔一年,再次回归,让所有人眼前一亮。这道题的难度,已经接近(甚至抵达了)全国卷难度峰值。这是许多年来,一道极具分析味道的“高考题”,让同学们提前接触到了更高等的数学。

想考高分的同学,一定要拿下这道题的前两问。这道题的第1小问依旧简单,读懂题目便可以做出;第2问开始考察大家的读题能力与分析能力,读懂题目,会分类讨论的“朴素”同学,可以慢慢地做出这道题,反而是平常习惯了找捷径的同学,即使是140分以上的高手,也会在第2问败下阵来——这一问只能靠“质朴”的讨论。

第3问,只剩一字——难!!反观第2问,确实在努力铺台阶。这道题的第3问大概率是考场上的“废题”,但对于新高考改革,具有非常强的前瞻性。本题作为压轴题,采用递进式设问,重点检测逻辑推理、批判性思维及连贯论证能力,适当放宽计算复杂度但抬高思维门槛,利于拔尖人才选拔。

总得来说,今年无论是高分同学的数量,还是平均分,预测可能会比往年低。这份试卷能考135分以上的同学是绝对的高手了。难度的提升也意味着新高考数学在逐步进入正轨,而不再处于动荡的“过渡期”。未来一年,大家需要更加重视数学,学会刨根问底,不迷信"秒杀公式"。对于不等式、数形结合、先猜后证、夹角公式、反证法等全国卷曾经不够重视的方法,也需要努力去掌握!

作者

高抒志,男,数学教师,荆州中学优秀备课组长,2025年荆州市“县级骨干教师”,连续多次被评为数学优胜学科奖,年度考核优秀,湖北省普通高考优秀评卷员,参与研究多项省级课题。

百廿荆中 成就梦想

编辑:刘麓天

审核:吴晓丽

终审:曾   伟

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  1. CONNECT:[ UseTime:0.000785s ] mysql:host=127.0.0.1;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001154s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000353s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000296s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000686s ]
  6. SELECT * FROM `set` [ RunTime:0.000244s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000746s ]
  8. SELECT * FROM `article` WHERE `id` = 502217 LIMIT 1 [ RunTime:0.007192s ]
  9. UPDATE `article` SET `lasttime` = 1781685441 WHERE `id` = 502217 [ RunTime:0.017262s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000312s ]
  11. SELECT * FROM `article` WHERE `id` < 502217 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000598s ]
  12. SELECT * FROM `article` WHERE `id` > 502217 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000955s ]
  13. SELECT * FROM `article` WHERE `id` < 502217 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002988s ]
  14. SELECT * FROM `article` WHERE `id` < 502217 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001223s ]
  15. SELECT * FROM `article` WHERE `id` < 502217 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003632s ]
0.110686s