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>青岛期末考解析!竟然比钓鱼卷还要猎奇
青岛期末考解析!竟然比钓鱼卷还要猎奇
2026-02-06 21:34:51
青岛期末考解析!竟然比钓鱼卷还要猎奇
前两天,看到一份青岛高三期末数学的卷子。这张卷子让人感觉非常奇怪,首先怀疑是不是钓鱼卷。不过大部分人声称这是真卷子,且里面的题只是奇怪并不困难,结合青岛喜欢整活的前科,我认为可能是真的卷子。
这张卷子从第4题开始就很怪,直接考了数论;11题是复数题,需要对模长与距离的转化比较熟悉。13题也是一道看着比较新颖的题目,大题16,17都透露出诡异的气息(当然并不难,那个所谓的复数数列只需要分别找an,bn递推)。19题是立体几何与圆锥曲线结合,看着也比较诡异。
当然,诡异归诡异,我认为命题还是比较新颖,可以一做的. 与其说钓鱼,不如说都是纸老虎.
单选8,高一学生即可完成,倍角公式简单运用:
多选11,找到z对应轨迹后即可:
14题是比较常规的条件概率基本功题。即使是枚举,也可以给他弄出来;思维有条理的同学2分钟就能秒杀.
19题圆锥曲线和立体几何结合,三问没啥关联,做起来倒也不算棘手,反正全都可以建系爆算。第三问注意一下ON与椭圆平面夹角 与离心率之间隐藏的关系即可,还是丹德林双球的模型。熟悉立体模型的同学,甚至可以从几何法入手,不过我认为建系还是很快的。
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CONNECT:[ UseTime:0.000950s ] mysql:host=127.0.0.1;port=3306;dbname=g460;charset=utf8mb4
SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001702s ]
SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000668s ]
SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000655s ]
SHOW FULL COLUMNS FROM `set` [ RunTime:0.001677s ]
SELECT * FROM `set` [ RunTime:0.000604s ]
SHOW FULL COLUMNS FROM `article` [ RunTime:0.001685s ]
SELECT * FROM `article` WHERE `id` = 469814 LIMIT 1 [ RunTime:0.001183s ]
UPDATE `article` SET `lasttime` = 1770727215 WHERE `id` = 469814 [ RunTime:0.026489s ]
SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.010063s ]
SELECT * FROM `article` WHERE `id` < 469814 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.004292s ]
SELECT * FROM `article` WHERE `id` > 469814 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.009729s ]
SELECT * FROM `article` WHERE `id` < 469814 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.015199s ]
SELECT * FROM `article` WHERE `id` < 469814 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.019944s ]
SELECT * FROM `article` WHERE `id` < 469814 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.031654s ]
0.247967s