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夜雨聆风 > > 办公文件 > 初中几何辅助线口诀+模型,PDF下载 【网盘领取】

初中几何辅助线口诀+模型,PDF下载 【网盘领取】

当前时间： 2026-06-04 01:32:20 分类：办公文件 评论(0)
初中几何辅助线口诀+模型,PDF下载 【网盘领取】
几何证明题不会画辅助线？看到中点、角平分线、垂直、圆……不知道该从哪里下手？这份 
《几何辅助线》 资料，系统总结了初中数学最常见辅助线的做法——角平分线向两边作垂、中线倍长、截长补短、梯形平移腰、圆中连半径等，每个模型配有口诀、例题和解析，帮助孩子快速找到解题突破口。高清PDF可打印，适合初二初三学生日常练习和中考冲刺。每天记一个模型、练两道题，几何从此不再难。老师也可作为专题讲义使用。

尽快保存，以防链接失效

https://pan.baidu.com/s/1Q2bGjofL0a5o81sEoKXFCg?pwd=8888 

主要用途：

日常学习：同步教材，课后巩固

中考复习：专项突破几何大题

教师备课：辅助线专题教学

简单用法：

  1. 转存网盘后下载PDF

  2. 双面打印装订成册

  3. 先背口诀，再做题，对照解析纠正

基本 文件 流程 错误 SQL 调试
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  141. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  142. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  143. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  144. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/runtime/temp/c935550e3e8a3a4c27dd94e439343fdf.php ( 31.50 KB )
  145. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000677s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000856s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000417s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000408s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000803s ]
  6. SELECT * FROM `set` [ RunTime:0.000371s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001059s ]
  8. SELECT * FROM `article` WHERE `id` = 707357 LIMIT 1 [ RunTime:0.022608s ]
  9. UPDATE `article` SET `lasttime` = 1780539510 WHERE `id` = 707357 [ RunTime:0.089945s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.019101s ]
  11. SELECT * FROM `article` WHERE `id` < 707357 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.028407s ]
  12. SELECT * FROM `article` WHERE `id` > 707357 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002793s ]
  13. SELECT * FROM `article` WHERE `id` < 707357 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.091682s ]
  14. SELECT * FROM `article` WHERE `id` < 707357 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.046722s ]
  15. SELECT * FROM `article` WHERE `id` < 707357 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.043482s ]
0.541599s