课程介绍
-
课程级别:
- 满分目标
-
课程亮点:
- 进阶拔高与解题技巧、方法培养与自我驱动以及综合素质提升
-
适用对象:
- 高一,拔高优培为目标的同学
-
学习目标:
- 强化技巧、进阶拔高
-
学费:
- [在线1v1] 300元/节,40分钟/节,3节/次
[在线1v2] 250元/节,40分钟/节,3节/次
[面授1v1] 700元/小时,2小时/次
[面授1v2] 600元/小时,2小时/次
-
学习方式:
- 在线 1v1,1v2
面授 1v1,1v2
-
课程内容:
-
- 平面向量线性运算
- 平面向量数量积与坐标运算
- 三角形基本定理
- 复数及几何意义
- 空间几何体
- 直观图与空间基本公理
- 空间平行的判定与性质
- 空间垂直的判定与性质
- 立体几何综合应用
- 平面向量分解系数
- 数量积与极化恒等式
- 坐标法解决平面向量问题
- 三角形与边角互化
- 三角形题型延伸
- 复数运算与三角形式
基本
文件
流程
错误
SQL
调试
- 请求信息 : 2026-06-28 03:17:18 HTTP/1.1 GET : http://m.demanfen.net/course_242.html
- 运行时间 : 0.088221s [ 吞吐率:11.34req/s ] 内存消耗:4,519.98kb 文件加载:135
- 查询信息 : 0 queries
- 缓存信息 : 0 reads,0 writes
- CONNECT:[ UseTime:0.001273s ] mysql:host=rm-2zeo5a9hfnzeb7934.mysql.rds.aliyuncs.com;port=3306;dbname=k12manfen;charset=utf8
- SHOW FULL COLUMNS FROM `courses` [ RunTime:0.001204s ]
- SELECT `id`,`title`,`course_type`,`teaching_type`,`subject`,`course_grade`,`learning_target`,`feature`,`enroll_description`,`target_description`,`teacher`,`course_plan`,`introduction`,`actual_price`,`picture`,`lesson_num`,`class_num`,`course_tag`,`course_price`,`description` FROM `courses` WHERE `id` = 242 LIMIT 1 [ RunTime:0.000692s ]
- SHOW FULL COLUMNS FROM `pictures` [ RunTime:0.000947s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 39 LIMIT 1 [ RunTime:0.000461s ]
- SHOW FULL COLUMNS FROM `news` [ RunTime:0.000986s ]
- UPDATE `news` SET `view` = `view` + 1 WHERE `id` = 242 [ RunTime:0.000466s ]
- SHOW FULL COLUMNS FROM `site_seo` [ RunTime:0.000752s ]
- SELECT `title`,`keywords`,`description` FROM `site_seo` WHERE `module` = 'm' AND `controller` = 'course' AND `action` = 'content' LIMIT 1 [ RunTime:0.000495s ]
- SELECT COUNT(*) AS think_count FROM `courses` WHERE `status` = 1 [ RunTime:0.000702s ]
- SELECT `id`,`title`,`course_type`,`teaching_type`,`subject`,`course_grade`,`enroll_description`,`target_description`,`actual_price`,`feature`,`picture`,`lesson_num`,`class_num`,`course_tag`,`learning_target` FROM `courses` WHERE `status` = 1 ORDER BY `course_grade`,`subject`,`course_type`,`teaching_type` DESC LIMIT 0,5 [ RunTime:0.000750s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000466s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000412s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000386s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000450s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000448s ]
- SHOW FULL COLUMNS FROM `news_data` [ RunTime:0.000837s ]
- SELECT COUNT(*) AS think_count FROM `news` [ RunTime:0.000435s ]
- SELECT `id`,`title`,`description`,`keywords`,`cover`,`view`,`updatetime`,`tags` FROM `news` ORDER BY `view` DESC LIMIT 0,6 [ RunTime:0.000473s ]

0.095902s