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大招 裂项相消法

  • 2025-11-29 16:35:14



一、内容

数学思想,数学思维,

数学方法,后进转化,

优秀培养,解题方法,

高考研究,拔尖竞赛,

优秀教案,优秀学案,

优秀论文,名校推荐。

  

二、高中数学实用口诀

线性分式函数:横竖中心单调先

正比例+反比例函数(四类):正比例是渐近线,反比例确定象限

幂指对函数的图像:幂指一竖对一横

面面平行的判定:两平一交两在内

线面垂直的判定:两垂一交两在内

线面垂直的判定2:两垂一交一在内

点关于直线对称的公式:直减二系d没有

直线与有心圆锥曲线联立方程:Pq插k分m2正负

弦中点问题点差法:导数中点纵乘k

差比数列的前n项和公式:AB大乘公减BC

二面角锐钝的向量判断方法:一箭两法符号判,同相同,异相反

数列问题:数列规律起始项

解三角形问题:正余弦换边角面,外中垂内角分,中线重垂心高

三角函数问题:图像性质和变换,和差倍降辅助角,极值零点对称轴

概率问题:概率加乘注反面,条件概率全概率

统计问题:几种分布本质清,样本估计总体明

立体几何:平行垂直角距离,一找二证三计算,内球外球截面球

解析几何:曲线方程是一家,解几向量坐标化,斜率弦长定点值

导数:导数运算好复合,构造函数同构切

参数方程:参数方程可构造,参数意义帮大忙

极坐标:直极坐标可互化,极点直线本领大

不等式:均值不等长链常,你我相等就相等

基本不等式:一正二定三相等,逐一验证再执行

四个绝对值不等式取等的条件:二绝之和胜一绝

柯西不等式:构造结构验相等,相等条件向量平

向量不等权方和,和大和小狂耍阔

条件最值造相等,无法拉格朗日乘

函数不等式:分类分离同构切

你品,你细品!

待续……

三、投稿

本公众号接受读者的宝贵意见,并欢迎读者发布自己的原创作品。

1.计算二面角的新途径

2.异面直线距离的公式求法

3.构造函数模型巧证不等式

4.例谈权方和不等式的妙用

5.从学生的一个极值问题引发的思考

投稿须知:

1.来稿应论点明确、数据可靠、逻辑严密、文字精炼,应附作者简介(包括姓名、性别、主要从事的工作业绩和研究方向)。

2.文中量和单位的使用请参照法定计量单位最新标准。外文字符应分清大、小写,正、斜体,黑、白体,上下角标应区别明显。

3.来稿文责自负。所有作者应对稿件内容和署名无异议。本公众号对来稿有权作技术性和文字性修改。

投稿邮箱:

475529093@qq.com

联系作者

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  139. /yingpanguazai/ssd/ssd1/www/www.rcgz.com.cn/runtime/temp/4ccc31682e91250e929c465cbfffcfa0.php ( 12.22 KB )
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  1. CONNECT:[ UseTime:0.000830s ] mysql:host=127.0.0.1;port=3306;dbname=rcgz;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001609s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000662s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 1 [ RunTime:0.006010s ]
  5. SELECT * FROM `fenlei` WHERE `fid` = 2 [ RunTime:0.000813s ]
  6. SELECT * FROM `fenlei` WHERE `fid` = 3 [ RunTime:0.008530s ]
  7. SELECT * FROM `fenlei` WHERE `fid` = 4 [ RunTime:0.001510s ]
  8. SELECT * FROM `fenlei` WHERE `fid` = 5 [ RunTime:0.000744s ]
  9. SELECT * FROM `fenlei` WHERE `fid` = 6 [ RunTime:0.000571s ]
  10. SELECT * FROM `fenlei` WHERE `fid` = 7 [ RunTime:0.000543s ]
  11. SELECT * FROM `fenlei` WHERE `fid` = 37 [ RunTime:0.000479s ]
  12. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001284s ]
  13. SELECT * FROM `article` WHERE `id` = 166216 LIMIT 1 [ RunTime:0.000953s ]
  14. UPDATE `article` SET `lasttime` = 1765779323 WHERE `id` = 166216 [ RunTime:0.002882s ]
  15. SELECT * FROM `fenlei` WHERE `id` = 6 LIMIT 1 [ RunTime:0.000503s ]
  16. SELECT * FROM `article` WHERE `id` < 166216 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001102s ]
  17. SELECT * FROM `article` WHERE `id` > 166216 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001000s ]
  18. SELECT * FROM `article` WHERE `id` < 166216 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002322s ]
  19. SELECT * FROM `article` WHERE `id` < 166216 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.018214s ]
  20. SELECT * FROM `article` WHERE `id` < 166216 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.016145s ]
0.227985s