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【2026年寒假讲义】人教A版∙高三寒假重难点突破13讲

  • 2026-04-09 05:32:44
【2026年寒假讲义】人教A版∙高三寒假重难点突破13讲
选系列
宁哥数学
编号
【AvM260103-088】】
内容
 人教A版∙高三寒假重难点突破13讲
适用对象
脚踏实地的高三生
推荐理由
自用资料，全新排版，学生版空白更多，双列排版更适合阅读；本文适用于高三生，自用班课资料，内容为人教A版高中数学的重难点专题精讲精练，目录见下方；
资料说明
本文内容包含函数专题之对称、周期、类周期等性质综合、抽象函数赋值与构造、嵌套（复合）函数问题、导数切线与公切线、同构与构造函数、椭圆与双曲线离心率与离心率范围问题、圆锥曲线中的平移齐次化与非对称非韦达、立体几何动态问题：角度，体积，折线段，轨迹，翻折、数列求通项与数列求和：倒序、错位、裂项、分组、数列奇偶项、取整数列、新定义等、向量中的极化恒等式、等和线与奔驰定理、三角函数恒等变换与“ω”的取值范围、解三角形与最值范围问题、条件概率、全概率公式与马尔科夫链、随机变量与二项分布，超几何分布，正态分布等；提供A4版本无答案与解析的学生版，和附有详细答案解析的家长版高清PDF版下载(带详细解析的家长版共236页，应家长们的要求，无解析的学生版是109页，按解析版的格式留出做题用的空白；)
获取方式
获取方式请点击文末阅读原文

以下为学生版PDF和家长版PDF节选内容预览

宁哥数学资料清单

点击可看链接，随缘更新中...

【暑假讲义】

【2025年新高一预科讲义】暑假新高一数学预科20讲-AvM250626-099

【2025年暑假高二讲义】高二重难点专项训练15讲

【2025年暑假高三讲义】高三重难点专项训练20讲

【2016-2024历年高考真题逐题分类汇总】

【高三刷真题】计数原理、排列组合、二项式定理、概率、统计、随机变量-AvM240707-020

【高三刷真题】导数-AvM240704-015

【高三刷真题】数列-AvM240703-015

【高三刷真题】复数、集合、函数性质与基本初等函数-AvM240701-015

【高三刷真题】平面向量、三角函数、解三角形-AvM240702-015

【高三刷真题】解析几何：直线、圆、椭圆、抛物线、双曲线-AvM240706-020

【高三刷真题】立体几何、线面位置关系、空间向量试题-AvM240705-015

【回归教材：全部例题、练习、章节练习题及答案解析汇总】

【考前一周回归教材】人教A版教材精选必刷题-AvM240601-020

【回归教材】人教A版高中数学必修一-AvM240803-015

【回归教材】人教A版高中数学必修二-AvM240307-015

【回归教材】人教A版高中数学选择性必修一-AvM240805-010

【回归教材】人教A版高中数学选择性必修二-AvM240309-010

【回归教材】人教A版高中数学选择性必修三-AvM240310-010

必修、选修教材的天问汇总：教材全部章节的知识结构与回顾与思考总结大全-AvM240305-010

【教材同步讲解考点汇总案头书】

【教材同步案头书】教材知识点汇总与考点详解∙必修一AvM240900-088

【教材同步案头书】教材知识点汇总与考点详解∙必修二 AvM250922-088

【教材同步案头书】教材知识点汇总与考点详解∙选择性必修一-AvM240909-088

【教材同步案头书】教材知识点汇总与考点详解∙选择性必修二-AvM241115-050

【教材同步案头书】教材知识点汇总与考点详解∙选择性必修三

【教材考点方法汇总】

【教材考点汇总】人教A版∙必修一-AvM240411-015

【教材考点汇总】人教A版.必修二-AvM240412-015

【教材考点汇总】人教A版∙选择性必修一-AvM240413-010

【教材考点汇总】人教A版.选择性必修二-AvM240414-010

【教材考点汇总】人教A版.选择性必修三-AvM240415-010

【寒假讲义】

【高三寒假讲义】高中数学重难点精讲精练13课-AvM250103-088

【高二寒假讲义】人教A版高二学生复习、预习讲义（共14讲）-AvM250102-077

【高一寒假讲义】人教A版高一学生复习、预习讲义（共14讲）-AvM250101-077

【试卷合辑】

2023-2024学年高一下学期顶尖名校期中试卷+解析汇编46套-AvM250303-050

2023-2024学年高一上学期顶尖名校期中试卷汇编40套-AvM240901-050

2023-2024学年高二上学期顶尖名校期中试卷汇编40套-AvM240902-050

2024年新高考数学高三模拟卷精选-AvM240424-010

【教材同步案头书】

【一点两题，快速复习】高考数学冲刺考前30天考点速查AvM240501-066

【考点∙题型∙方法】高一上学期期末备考手册AvM241201-066

【期末备考系列】高一下学期期末备考一本通AvM240606-030

【期末备考系列】高二下学期期末备考一本通AvM240607-030

......

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随缘更新中

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  1. CONNECT:[ UseTime:0.000658s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000591s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000398s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000303s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000627s ]
  6. SELECT * FROM `set` [ RunTime:0.000263s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000618s ]
  8. SELECT * FROM `article` WHERE `id` = 464586 LIMIT 1 [ RunTime:0.000484s ]
  9. UPDATE `article` SET `lasttime` = 1775925212 WHERE `id` = 464586 [ RunTime:0.000852s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000225s ]
  11. SELECT * FROM `article` WHERE `id` < 464586 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000393s ]
  12. SELECT * FROM `article` WHERE `id` > 464586 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000396s ]
  13. SELECT * FROM `article` WHERE `id` < 464586 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000985s ]
  14. SELECT * FROM `article` WHERE `id` < 464586 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000687s ]
  15. SELECT * FROM `article` WHERE `id` < 464586 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000722s ]
0.146836s