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平面向量进阶题型1

当前时间： 2026-07-09 23:18:51 分类：办公文件 评论(0)
平面向量进阶题型1

平面向量进阶题型1

向量小题经常耗时久、容易算错？这份专题梳理多类必考进阶解题技法：极化恒等式、奔驰定理、等和线定理等，适配高中日常刷题、期中期末备考、高考一轮复习。
题型搭配标准解析步骤，拆解向量选填难题破题思路，规避常规做题易错坑点，帮你提速搞定向量压轴小题。
有刷题答疑、题型补课需求可联系：数学夏老师，电话/微信：18315305917

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安徽,11分钟前,
基本 文件 流程 错误 SQL 调试
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  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:0.000532s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000947s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000502s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000368s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000648s ]
  6. SELECT * FROM `set` [ RunTime:0.004250s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000786s ]
  8. SELECT * FROM `article` WHERE `id` = 849895 LIMIT 1 [ RunTime:0.000771s ]
  9. UPDATE `article` SET `lasttime` = 1783610614 WHERE `id` = 849895 [ RunTime:0.011656s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000367s ]
  11. SELECT * FROM `article` WHERE `id` < 849895 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000552s ]
  12. SELECT * FROM `article` WHERE `id` > 849895 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000381s ]
  13. SELECT * FROM `article` WHERE `id` < 849895 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000619s ]
  14. SELECT * FROM `article` WHERE `id` < 849895 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.007144s ]
  15. SELECT * FROM `article` WHERE `id` < 849895 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.032965s ]
0.147619s