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2026年全国一卷数学试卷分析

  • 2026-06-11 07:36:33
2026年全国一卷数学试卷分析

1-6单选,都是常规送分题

7题,一道比较创新的数列题,关键在于读懂题意,个人觉得很有意思,我是直接求和后验证选项的


8题,本质是一道非常简单的小学问题:“有64个数的平均数是0,现在去掉一个3,问剩下63个数的平均数是多少?”关键在于读懂题,和平时加深对期望这一概念的理解

9题,复数 送分题

10题,二面角,认真思考一下很容易做对,最简单的方法就是设点

11题,个人认为本套试卷中最有难度的题,没有之一,需要先画对图,考验观察力和判断力,全选对不容易,但是选出来还是很简单的,不建议耽误太多时间


12题,单纯求个离心率

13题,非常常规的三角和导数,高三必练

14题,又是数列创新题,很有意思。如果有竞赛基础的学生应对起来会很简单,我做这道题的时候关键运用了抽屉原理,即九个数中一定有相邻两组三个连续的数,之后这两组是成等比的,即比值q的三次方为6/4、8/6、10/8…越来越小

15题,常规立体几何,不解释

16题,依旧常规解三角形

17题,今年的风向一直在传压轴题会出概率,在这个训练背景下这个概率就显得有点太简单了,第一问送分

第二问只要能读懂P(X>k)表达的意思是前k次都没投中,这个题就轻松做对,本质还是对概率的理解和对数学语言的转化

18题,怎么都2026年了圆锥曲线还是十年前那样,就是常规做法,圆锥曲线计算量大是很正常的,按部就班就行

19题,高考数学之消失的导数,这个题和导数没有半点关系。解题的关键依旧在于能读懂题中的数学语言是什么意思,如果读懂了,那么前两个问就简单拿下,读不懂的话整个题都做不出来。对于第三问,关键在于平时数学思维和解题能力的提升。反证法、数学归纳法这些大学数学和数学竞赛中十分常见的数学方法是中学教学中比较缺乏的,如果能想到反证法,这个问题就做出来一半,剩下的一半主要是解题过程是否严谨

合理分数:


对于中等偏上的学生,这套题得分起码要保证在120分左右,单选7、8题就算全错,多选11题起码能选对一个,最多扣14分,填空题14题扣5分,圆锥曲线要控制在五分以内,最后一个大题第三问扣9分。其余的失分全不应该。

对于优生,这套卷子要保证能得到130分左右,7/8/14/19是拉开分差的关键

对于拔尖学生,这套题要争取能上140分,甚至冲刺145+,容错留给11题与19题的解题过程上

总结与反思:

这套卷子没有所说的那么难,中等生之间基本拉不开分差,基础题设置的太过简单直来直去,基本占到了110分左右,这就更加考验学生对于基础题的准确性,如果粗心失分真的会拉开分差

此外应该着重训练学生对数学语言的转化能力,和对概念的理解程度,做题要抽丝剥茧,能否将复杂问题简单化,将抽象的数学符号转化为大白话,再将解题思路转化为严谨的数学语言。类比与融汇贯通很重要,拿第八题举例,在学习期望时候是否将这一概念与平均进行类比?能否将这一压轴小题转化为小学生都会的平均数问题?那么如何检验对一个数学概念是否真的理解和掌握了,不是张口闭口就是一大串复杂的数学定义,而是能否将这个数学概念给小学生讲懂,这才是真正的掌握。

最后,应注重解题能力与数学思维的培养。教师不仅要有命题人视角,更要有解题人视角,在系题讲解的时候,要跳出繁琐复杂答案解析,不要照本宣科,要用解题人视角去给学生进行讲解。比如所谓的“邪修方法”:“瞪眼法”、“代入法”…比如单选题的第七题,如果常规做法只要要花费三分钟的时间,而观察选项特点基本三十秒就能选出正确答案。不要因为怕学生乱用就一刀切,而是要正确地引导学生如何去用去写。此外,“反证法”、“数学归纳法”这种在数学上无比重要的方法,大学数学专业和数学竞赛非常常用的方法技巧,竟然在中学中很少用到,这值得我们深思,数学思维的培养绝对不在一朝一夕

(PS:此外网络上有人说什么2026是历史最难,比2022届还难,本人有幸经历过2022年高考,只能说2022新一卷是传统高考题型的巅峰之作,没有几道题会让你轻易拿到,身边分数过百的都不常见,而2026新一卷基础分大概就占到了110分左右,以至于我刚看到卷子的时候都怀疑这是不是高考卷)

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  1. CONNECT:[ UseTime:0.000560s ] mysql:host=127.0.0.1;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000807s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000388s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000299s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000614s ]
  6. SELECT * FROM `set` [ RunTime:0.000261s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000706s ]
  8. SELECT * FROM `article` WHERE `id` = 500827 LIMIT 1 [ RunTime:0.000491s ]
  9. UPDATE `article` SET `lasttime` = 1781155305 WHERE `id` = 500827 [ RunTime:0.001146s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000274s ]
  11. SELECT * FROM `article` WHERE `id` < 500827 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000551s ]
  12. SELECT * FROM `article` WHERE `id` > 500827 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000542s ]
  13. SELECT * FROM `article` WHERE `id` < 500827 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000870s ]
  14. SELECT * FROM `article` WHERE `id` < 500827 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000922s ]
  15. SELECT * FROM `article` WHERE `id` < 500827 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001154s ]
0.081900s