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罗碎海:一道初中课本题的探究

  • 2026-08-25 06:22:16
罗碎海:一道初中课本题的探究
点击上面蓝色文字关注杨志明数学角
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17年新课标I、10年新课标II、5年新课标III高考数学真题详细解析
16年新课标I、9年新课标II、4年新课标III高考数学真题分类详解
2020年高考数学重要专题讲座
2020届全国各地高考数学模拟试题选
椭圆与双曲线性质的对偶113条:椭圆
椭圆与双曲线性质的对偶113条:双曲线
每日一题（001-099）试题分类
2021年高考数学常用公式及结论
单墫数学随笔文集（2019.10.20-2020.2.4）
杨志明公开征解问题385题
杨志明：解析几何微专题讲座大全（108讲）
杨志明：2021年高考数学重要专题讲座
第1-63届（1959-2022）IMO国际数学奥林匹克试题解答集锦
近三十六届（1986-2021）中国数学奥林克试题及解答集锦

数学竞赛常用知识手册

近三十七年（1986- 2022）IMO中国国家集训队选拔考试试题及参考答案集锦

近21届（2002-2022）中国女子数学奥林匹克试题及解答

近十九年（2001-2019）中国西部数学邀请赛试题及解答集锦

近十四届（2005-2018年）中国北方数学奥林匹克试题及解答集锦

近十七年（2004-2020)中国东南地区数学奥林匹克试题及解答集锦

近十五年（2008-2022）全国高中数学联赛贵州省预赛试题及参考答案

近二十一年（2003-2023 ）全国高中数学联赛（福建省赛区）预赛试卷集锦

近十九年（2004-2022）全国高中数学联赛吉林赛区预赛试题与详细解答集锦

近五年（2018-2022）全国高中数学联赛重庆赛区预赛试题与详细解答集锦

近十八年（2005-2022）全国高中数学联赛江西省预赛试题解答

2004-2018年南昌市高中数学竞赛试卷及答案

近十五年（2005-2019）年全国高中数学联合竞赛浙江省预赛试卷及详细解答

近十五年（2005-2019）全国高中数学联赛江苏赛区初赛、复赛试题及详细解答

近十五年（2004-2018）全国高中数学联赛河南预赛试题及答案集锦

近十九年（2002-2020）全国高中数学联赛（四川预赛）试题及答案集锦

1993-2018年河北省高中数学竞赛试卷及答案集锦

近二十年（2000-2019）全国高中数学联赛（湖南预赛）试题及答案集锦

2007-2018年全国高中数学联合竞赛湖北省预赛试题集锦

2010-2018年全国高中数学联合竞赛广东

  【罗碎海论文专辑】

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罗碎海：一个函数零点分布问题的新思路
罗碎海：矩形大法解题一例
沈志军：罗碎海老师的困难方程求解
罗碎海：我的成长离不开“大神老师”罗增儒
罗碎海：一题多解，一题多思
罗碎海：高考模拟题是高联题
罗碎海、李启印解答网上问题
罗碎海问题征解（2024.02.13）
罗碎海、陈嘉华、钟文体、潘宇：破解抛物线内接正三角形个数
罗碎海：抛物线内接正三角形
杨志明、罗碎海：一道变系数递推数列通项公式的解法集锦
罗碎海、谢贤祖：对课本上抛物线焦点弦的一个性质两次推广
罗碎海、郑商平、杨志明：一个特殊三角形中的特殊角的求法
罗碎海：2023高考全国数学（II）21题分析
罗碎海、沈志军等：杨志明征解问题（2023.06.12）的四种解答
罗碎海等：彭色列定理与高考题
罗碎海：从相交弦定理到布利安桑定理
罗碎海：帕斯卡定理的初等证明与高考题
罗碎海、袁宇飞：交比及性质的初等证明与应用
罗碎海：2021与2022年高考题的关系
罗碎海：2017年高考题与2022年高考题相似性
罗碎海：最值的常见误区引发的包络线问题
数“7”的奥秘（罗碎海虎年献礼）
罗碎海：“1+2+3=1×2×3” 的秘密
罗碎海：2021年新高考I卷数学21题赏析与圆锥曲线的切割线定理
罗碎海：从圆的反演变换到椭圆的反演变换
罗碎海：极点与极线性质的初等证明与应用
罗碎海：95年高考理科第26题的多种简捷解法及规律
罗碎海：2020 高考全国（I）20 题赏析
罗碎海：拉直正态分布诞生之路
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  1. CONNECT:[ UseTime:0.068288s ] mysql:host=42.236.82.134;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.044414s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.046316s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.043016s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.044592s ]
  6. SELECT * FROM `set` [ RunTime:0.043964s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.042384s ]
  8. SELECT * FROM `article` WHERE `id` = 470209 LIMIT 1 [ RunTime:0.045910s ]
  9. UPDATE `article` SET `lasttime` = 1787736687 WHERE `id` = 470209 [ RunTime:0.061165s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.042228s ]
  11. SELECT * FROM `article` WHERE `id` < 470209 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.268525s ]
  12. SELECT * FROM `article` WHERE `id` > 470209 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.052994s ]
  13. SELECT * FROM `article` WHERE `id` < 470209 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.174477s ]
  14. SELECT * FROM `article` WHERE `id` < 470209 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.064412s ]
  15. SELECT * FROM `article` WHERE `id` < 470209 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.114504s ]
1.190754s