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2025杭温期末考试试题3道.

  • 2026-02-01 13:37:20
2025杭温期末考试试题3道.

简介:欢迎关注我们。本公众号主要关注一些关于各级各类的国内外数学竞赛、各大高校强基计划、三位一体(2020年开始称为校测)的试题和解答、综合评价等高校录取政策等其他的相关信息。

作者:这是一个由几位重点高中长期奋斗在一线的竞赛教练打造的原创教育交流平台,分享有料、有Fun的教育心得等各类干货。

投稿请看:真诚得欢迎各位读者给我们发送稿件,我们的投稿邮箱是goldfish520520@sina.com,来信请写明作者姓名(或者推送时用的昵称)以及所在省份。收到后,经审查,确认没有科学性的错误后,我们会及时推送。投稿的稿件请用word或者pdf格式。如果是手写稿,希望字迹能够清楚,方便大家阅读,谢谢!

      快放假了,众神兽归家。最近也有很多小型爆炸新闻,首考出分,各校期末卷什么的。首考高分,我不是很关注,都是赋分的结果,没啥意思。所以今天还是给大家推送3道期末考试试题吧。2道高一,1道高二。

先给一道高二的试题,试题来源于学军中学高二期末考试。
注:本题更多的还是考虑了同构,需要利用函数的单调性得到最后的结果。A,B选项,通过糖水试验得到同构,C,D选项,则通过基本不等式得到同构。
然后再给高一的,题目来自于温州高一期末考试试卷。
注:本题入手不是那么容易,如果考虑坐标,计算极其麻烦,不可行。所以考虑垂直入手,F点的轨迹是直径圆,故考虑设角。
注:此题很像导数的极值点偏移,但是考虑到是高一的试题,所以应该要考虑其他的方式。利用极值点满足的条件,进行代换,得到同构。最后利用打勾函数得证。
                              

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数学小分享--Wolf奖获得者

     卡尔.弗里德里希.高斯

卡尔·弗里德里希·高斯Carolus Fridericus Gauss),德国著名数学家、物理学家、天文学家、几何学家、大地测量学家,享有“数学王子”的美誉17岁的高斯发现了质数分布定理和最小二乘法通过对足够多的数据的处理后,可以得到一个新的、概率性质的结果在这些基础之上,高斯随后专注于曲面与曲线的计算,并成功得到高斯钟形曲线,其函数被命名为标准正态分布(或高斯分布)次年,证明出仅用尺规便可以构造出17边形。并为流传了2000年的欧氏几何提供了自古希腊时代以来的第一次重要补充。高斯总结了复数的应用,并且严格证明了每一个n阶的代数方程必有n个实数或者复数解。在他的第一本著名的著作《算术研究》中,做出了二次互反律的证明,成为数论继续发展的重要基础。在这部著作的第一章,导出了三角形全等定理的概念。高斯通过以前3次的观测数据在最小二乘法基础上计算出了谷神星的运行轨迹。奥地利天文学家Heinrich Olbers根据高斯计算出的轨道成功地发现了谷神星。高斯还独立提出了非欧几何,发明了大地测量的镜式六分仪,发明了磁强计,并和韦伯画出了世界第一张地球磁场图。

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  1. CONNECT:[ UseTime:0.001064s ] mysql:host=127.0.0.1;port=3306;dbname=b_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001613s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.026192s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.014047s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000812s ]
  6. SELECT * FROM `set` [ RunTime:0.000881s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000603s ]
  8. SELECT * FROM `article` WHERE `id` = 474015 LIMIT 1 [ RunTime:0.005952s ]
  9. UPDATE `article` SET `lasttime` = 1770315284 WHERE `id` = 474015 [ RunTime:0.008646s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.001113s ]
  11. SELECT * FROM `article` WHERE `id` < 474015 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.014486s ]
  12. SELECT * FROM `article` WHERE `id` > 474015 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002585s ]
  13. SELECT * FROM `article` WHERE `id` < 474015 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.005521s ]
  14. SELECT * FROM `article` WHERE `id` < 474015 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.039711s ]
  15. SELECT * FROM `article` WHERE `id` < 474015 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003043s ]
0.285813s