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梦回25年南京中考数学考场,我捡回了7分

  • 2026-05-29 23:40:19
梦回25年南京中考数学考场,我捡回了7分
“这位同学,你在干嘛”,有人拍了拍我,
我猛地睁眼,我发现此时正在考场上,灯管,白墙,电子屏。黑板上放挂了八个大字勤奋 善思 互助 精进。看了眼黑板右上角的时钟,此时正好是9点05分。
桌子上摊着数学试卷,姓名栏空着。
今年是哪一年几月几号”,我下意识问监考老师。他说:2025年6月22日,你没事吧?”
我愣住两秒,心跳加速。我明明是一个老师,怎么穿越到去年南京中考数学考场上来了。
低头一看,我穿着白色的衬衫,藏青色的裤子,胸口还印了四个字“XX外校”,练手边的2B铅笔都是我用剩的半截。
荒谬,但又无比真实。
但奇怪的是,我不慌。这些年我讲过太多数学题,中考题、模考题如数家珍。
“一般来讲,南京中考数学卷都是70%的基础+20%的中档+10%的压轴”,尽管2023、2024年有变化,但2025年这个比重依然差不多
我深吸一口气,开始答题。
前5道选择题,偏基础:
第6题,填空压轴题:
选择题很快,8分钟不到解决,接下来是填空题;
12题做的时候愣了一下,怎么还有单位换算,先不管了,正常做;
填空题,基本都很顺利,倒二是个相似的计算,出的很好,最后一题考察取值范围,看着很简单,但是很容易错。
注意题目的条件“扇形内”,则点P无法到达边界,则最小值不能取等。画关键词,注意题目的所有条件,这是我一直教同学们要注意的事。
当P非常靠近A时,这个角应该是个钝角,可以从图上的极限法来分析。
接下来是解答题:
前三题分别考察:解不等式、过直线外一点作平行线、方程组应用题。
整体偏基础,今年的尺规作图考地比较简单。
概率,统计,一般来讲都是基础题,必须要拿满分;
第23题,为易错中档题,题目考对称中心,那么就要想起来对称中心的性质:“对应点的连线经过对称中心,并且被对称中心平分”.
先把AC、BD连起来,则经过O,
第一问连接OE,延长EO交AD于点F,可证全等,则OF长等于半径长,则相切;
第二问,把图作出来,另外相切证明OB平分∠ABC,再通过AD平行于BC证明AB=AD,即可得出菱形.
这一题我写地很细,因为我知道,阅卷按点给分,少一句就扣一分
第24题,考察分段函数的计算,计算量不大,主要分类讨论,第2问要讲清楚为什么只有一种情况。
第25题,中点的联想,做辅助线计算.
这道题还是非常容易扣分的,因为∠CDB是45°不是那么容易推出来。过程较多,不再书写了;
第26题,一道很有新意的二次函数问题,
第(1)问比较简单,定函数平移后求确定的坐标;
第(2)问就不容易了,要先把顶点横坐标坐标代入一次函数,求出顶点的纵坐标,再根据a=-1不变,把函数写成顶点式,然后代入x=0,求出它和y轴的交点坐标n,层层相连,很容易错。
处理好上面的思路后,圈1就是个二次函数,圈2则要分类讨论.
接下来就是压轴题了,这道题不仅写过,还录过视频。难度是有的。
做到这个时候,我发现现在是10点33分,其实没剩多少时间了。平时做试卷和考场上写题还是无法类比。考场上心态会有点区别,大题还需要把格式写完整,计算的时候不能算错,算错的话,那再算一遍。
虽然我写完了,但作为一个老师,这是正常的,依然不能骄傲,不能提前交卷,我从头开始检查。
1.答题卡填地有无问题?
2.填空题是否有多解?填空题有没有单位和临界值取等的问题?
3.解答题是否有关键的步骤缺失?
尤其是中档题,一定要想办法拿满分。
检查到第10分钟的时候,我发现了一个错误:
前面第20题比较大小,我看错符号了,赶紧改过来,还好答题卡位置是够的。
我再代入特殊值验算,a=-2,b=-1,这次没问题.
10点55分,合上笔帽。
心里笃定,115肯定稳了。
交卷铃响,我起身离开。走出考场,人声嘈杂。

嘈杂的声音把我吵醒了,原来我此刻是躺在工作室的沙发上睡觉,九初的某个同学来得太早,敲门声把我弄醒了。
原来我根本没有穿越,只是昨天的一节课讲地太投入,结果第二天就梦回考场,答完了整张试卷。
而更巧的是,我刚刚在梦里反复检查的那些细节,正是学生最容易丢分的地方。

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  1. CONNECT:[ UseTime:0.000708s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000925s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000316s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000282s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000481s ]
  6. SELECT * FROM `set` [ RunTime:0.000205s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000566s ]
  8. SELECT * FROM `article` WHERE `id` = 567995 LIMIT 1 [ RunTime:0.000994s ]
  9. UPDATE `article` SET `lasttime` = 1780226976 WHERE `id` = 567995 [ RunTime:0.005344s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000670s ]
  11. SELECT * FROM `article` WHERE `id` < 567995 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001163s ]
  12. SELECT * FROM `article` WHERE `id` > 567995 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.003567s ]
  13. SELECT * FROM `article` WHERE `id` < 567995 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002022s ]
  14. SELECT * FROM `article` WHERE `id` < 567995 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.005800s ]
  15. SELECT * FROM `article` WHERE `id` < 567995 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003270s ]
0.102602s