课程介绍
-
课程级别:
- 巩固与拔高
-
课程亮点:
- 夯实学科基础、查缺补漏、剖析重点、克服难点
-
适用对象:
- 初一,基础比较薄弱的同学
-
学习目标:
- 查缺补漏、夯实基础
-
学费:
- [在线1v1] 150元/节,40分钟/节,3节/次
[在线1v2] 100元/节,40分钟/节,3节/次
[面授1v1] 400元/小时,2小时/次
[面授1v2] 300元/小时,2小时/次
-
学习方式:
- 在线 1v1,1v2
面授 1v1,1v2
-
课程内容:
-
- 运算能力课-幂的运算探究
- 【真题易错】幂的运算探究
- 抽象能力课-乘法公式及其变形
- 【真题易错】乘法公式及其变形
- 运算能力课-复杂乘法公式
- 【真题易错】复杂乘法公式
- 运算能力课-因式分解三大基本方法
- 【真题易错】因式分解三大基本方法
- 运算能力课-因式分解十字相乘与双十字相乘
- 【真题易错】因式分解十字相乘与双十字相乘
- 运算能力课-因式分解换元与主元
- 【真题易错】因式分解换元与主元
- 运算能力课-因式分解拆添项与待定系数法
- 【真题易错】因式分解拆添项与待定系数法
- 几何直观课-三角形中的边与角
- 【真题易错】三角形中的边与角
- 几何直观课-三角形的倒角进阶
- 【真题易错】三角形的倒角进阶
- 几何直观课-全等三角形的证明
基本
文件
流程
错误
SQL
调试
- 请求信息 : 2026-04-12 00:25:27 HTTP/1.1 GET : http://m.demanfen.net/course_112.html
- 运行时间 : 0.084769s [ 吞吐率:11.80req/s ] 内存消耗:4,521.72kb 文件加载:135
- 查询信息 : 0 queries
- 缓存信息 : 0 reads,0 writes
- CONNECT:[ UseTime:0.001112s ] mysql:host=rm-2zeo5a9hfnzeb7934.mysql.rds.aliyuncs.com;port=3306;dbname=k12manfen;charset=utf8
- SHOW FULL COLUMNS FROM `courses` [ RunTime:0.001136s ]
- 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` = 112 LIMIT 1 [ RunTime:0.000645s ]
- SHOW FULL COLUMNS FROM `pictures` [ RunTime:0.000803s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000421s ]
- SHOW FULL COLUMNS FROM `news` [ RunTime:0.000779s ]
- UPDATE `news` SET `view` = `view` + 1 WHERE `id` = 112 [ RunTime:0.000466s ]
- SHOW FULL COLUMNS FROM `site_seo` [ RunTime:0.000767s ]
- SELECT `title`,`keywords`,`description` FROM `site_seo` WHERE `module` = 'm' AND `controller` = 'course' AND `action` = 'content' LIMIT 1 [ RunTime:0.000487s ]
- SELECT COUNT(*) AS think_count FROM `courses` WHERE `status` = 1 [ RunTime:0.000682s ]
- 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:0.000711s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000489s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000470s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000452s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000481s ]
- SELECT `id`,`path`,`osspath` FROM `pictures` WHERE `id` = 21 LIMIT 1 [ RunTime:0.000423s ]
- SHOW FULL COLUMNS FROM `news_data` [ RunTime:0.000817s ]
- SELECT COUNT(*) AS think_count FROM `news` [ RunTime:0.000441s ]
- SELECT `id`,`title`,`description`,`keywords`,`cover`,`view`,`updatetime`,`tags` FROM `news` ORDER BY `view` DESC LIMIT 0,6 [ RunTime:0.000497s ]

0.092224s