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深圳 陈学辉:同一概率模型,同一通项公式

  • 2026-02-07 04:43:33
深圳 陈学辉:同一概率模型,同一通项公式

(关注“平说数学”,接收更新文章)

      “没有任何一道题目是可以解决得十全十美的,总剩下些工作要做,经过充分的探讨总结,总会有点滴的发现,总能改进这个解答;而且在任何情况下,我们总能提高对这个解答的理解水平”.(波利亚语)

       本号永远欢迎数学“陈题“的“新解法“,它们一定会给我们些许新的启迪.

       让我们在解题的道路上携手前行,共同探索!

同一概率模型,同一通项公式

深圳  陈学辉
作者近期文章:
深圳 陈学辉:再解佛山市普通高中教学质量检测(一)高三数学第19题
深圳 陈学辉:根据解集结构,简解不等式组

深圳 陈学辉:北京丰台的一个压轴题及其编码理论背景

深圳 陈学辉:另解舟山市五校联盟高二第二次联考14题
深圳 陈学辉:一个完全平方数问题
深圳 陈学辉:深圳2025年11月一模19题另解

陈学辉:一个酷爱数学的儒商

“平说数学”创建于201991日,旨在为热爱数学的你我他,搭建一个分享、交流、学习的平台.
1. 本号欢迎来稿好题妙解、问题讨论、教学感悟、数学杂谈、……
2. 来稿文责自负请注明作者姓名,wordpdf档为宜,拍照的手写稿应工整清晰.
    文章排版规范、美观是必要条件!数学的美不仅是内容,也在于形式,不美的数学不会存在.
3. 投稿微信:wzpmath
4.切勿一稿多投.

5. 欢迎订阅分享如转载本号文章,请征得原作者的同意,并注明转自平说数学’”.  数学解题的目的是什么?是求出问题的答案吗?是,但不全是!解题的目的是巩固数学基础知识、落实数学基本技能、感悟数学思想方法、提升数学思维活动经验.所以对典型问题的多角度分析与解答是非常必要的.当然并非解法越多越好,在寻找多解的过程中要突出通性、通法的辐射、迁移的作用,要追求水到渠成、自然而然的解题方法.正如数学家加德纳说:“数学的真谛在于不断寻求越来越简单的方法证明定理和数学问题”.值得指出的是,这里所谓的“简单”,并不是指什么特殊的技巧和书写过程的简洁,而是解决这个问题的思维过程是自然的、简单的,所用的知识是基础的.大道至简,师法自然.“数学是自然的,数学是清楚的”.用简单的原理说明深刻的思想,乃科学探索之精髓.我们将与关心、支持本号的朋友共同努力,争取做到:

   以平实近人的思维探寻解题思路;

   以规范简练的语言表述解题过程;

   以精简实用的反思感悟数学思想;

   以渐变求善的变式巩固思维经验;

   以自然而然的过程提升数学素养;

   以引人入胜的故事传播数学文化.

  学习数学勿忘本质、自然、规范、简单、优雅的原则.

王芝平

北京市特级教师、北京市首届名师、北京市数学学科教学带头人,中国数学奥林匹克教练员。

北京市先进工作者(劳模),北京市优秀教师。

获北京市人民政府第三届北京市基础教育教学成果一等奖” (第一完成人)

人民教育出版社高中数学A版教科书与配套教师教学用书核心作者,教材培训特聘专家。

国培计划——国家级骨干教师高级研修项目高中数学班特聘授课专家。

教育部考试中心高考试题评价组成员,北大园丁智库专家,北京大学邯郸创新研究院课题专家,北京师范大学《中国教师》杂志社教育研究中心客座教授、中国特级教师专家团成员,教育部主管《高中数理化》编委,全国初等数学研究会副理事长,广东省初等数学学会顾问委员会委员。

教学专著《观宏察微,知行合一》由北京出版集团出版,合著《多元视角下的数学文化》《数学星空中的璀璨群星》《邮票王国中迷人的数学》由科学出版社出版。

出版高考试题研究著作多部:《在解题中学会解题》《高考大问题——动感设计轻松破解数学压轴题》《高考必做的36道压轴题(数学)》《稳操胜劵——新课标高考二轮复习用书(数学)》《培优辅导——高考数学系统总复习》《决胜高考数学压轴题》《速胜高考数学客观题》《完胜高考数学中档题》等。

近二十年,在《数学通报》、《中国考试》等学术期刊发表论文130余篇,有多篇被人民大学资料复印中心《中学数学教与学》全文转载。

对高中数学教学、高考备考与数学竞赛、数学强基计划都有深入的研究和丰富的实战经验,应邀在全国各地培训教师与学生数百场,均获得一致好评!

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  1. CONNECT:[ UseTime:0.000647s ] mysql:host=127.0.0.1;port=3306;dbname=c460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000886s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.079260s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.007564s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000841s ]
  6. SELECT * FROM `set` [ RunTime:0.009869s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000717s ]
  8. SELECT * FROM `article` WHERE `id` = 486612 LIMIT 1 [ RunTime:0.005839s ]
  9. UPDATE `article` SET `lasttime` = 1770431209 WHERE `id` = 486612 [ RunTime:0.069672s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.009580s ]
  11. SELECT * FROM `article` WHERE `id` < 486612 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.002293s ]
  12. SELECT * FROM `article` WHERE `id` > 486612 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.006263s ]
  13. SELECT * FROM `article` WHERE `id` < 486612 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.010387s ]
  14. SELECT * FROM `article` WHERE `id` < 486612 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.017435s ]
  15. SELECT * FROM `article` WHERE `id` < 486612 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.014976s ]
0.306751s