立足调研 把脉教学 赋能前行

2023年10月23日，在衢州市教研室主任徐雪斌的带领下，来自衢州市教研室的语文、数学、英语、物理、化学、生物、政治、历史、地理、体育教研员一行来到浙江省江山中学，通过听课、评课、调研，为学校高三年级的课堂教学、高考复习进行“把脉支招”。江山市教研室相关学科教研员、江山中学各学科教师全程参与听课、评课过程。

本次活动分学科进行。各学科教研员到达学校后便走进教室，听取了浙江省江山中学高三年级22位老师的公开课。

语文教研员何其平听课调研

吴敬恩老师《考场作文审题立意的方法》

郭红梅老师《小说主旨从何而来》

数学教研员叶水爱听课调研

吴娟老师《立体几何中的距离问题-点到面的距离》

刘青老师《立体几何中的向量问题（二）》

英语教研员余志忠听课调研

杨青霞老师《七选五解题技巧指导》

祝金芳老师《文化类阅读理解解题指导》

物理、通用教研员季超群听课调研

叶青老师《洛伦兹力与现代科技》

毛丽梅老师《运算比较器反馈电路的专题复习》

化学教研员江雷听课调研

张彩丽老师《高三专题复习—氨》

王远英老师《以硫酸工业为背景的含硫化合物专题复习》

生物教研员李惠新听课调研

谢双琴、王克华老师专题复习课

政治教研员蒋国民听课调研

徐小倩、毛秀蓉老师《政治与法治》模块专题复习课

历史教研员陈春露听课调研

杨冠老师《所见、所思、所想》

徐惠琴老师试题讲评课

地理教研员余哲听课调研

杨彬、宋健两位老师关于《矿产资源与国家安全》的专题复习课。

体育教研员祝芳听课调研

袁坤、单梦老师展示了课堂内体能发展训练与技能掌握提升的实践课。徐佩来、余晴老师展示了音乐、美术鉴赏课。

课堂上，各位教师备课充分，精神饱满，思路清晰、教学设计新颖、课堂设计环环相扣，重难点突出，学生积极参与教学活动，课堂学习氛围浓厚，教学效果明显。

课后各学科教研员分别与学科组老师们面对面交流，对上课教师的个人素质、认真负责的教学态度及注重团队力量等亮点给予了高度评价，并中肯的提出了建议和意见，对下阶段高考备考工作提出许多具体性意见和建议。教研员们的指导为学校高三年级的课堂把了脉、拓宽了教师们的教学思路、有利于促进教师的专业发展。

语文评课交流

教研员何其平肯定了两位老师课堂选点的实效性，认为作文和文学类文本阅读两题的情境性很强，两位老师的课堂都侧重于提升学生在具体情境中解决问题的能力。他指出，高三复习课要有长线计划，要强化对高考真题的研究和运用，增加对教材的重视度，以寻找日常复习课中的学科原点，让学生的语文素养得到真正提升。

数学评课交流

教研员叶水爱对两位老师的课堂做出了点评，围绕“如何上好一节公开课”、“如何用好新教材”、“如何研究新高考”三个方面给出了指导建议，激发了每位老师对教学与备考的思考。她希望各位老师在新高考模式下再接再厉，再创辉煌，实现数学成绩的大迈步！

英语评课交流

教研员余志忠高度评价了两位老师的课，并就学校的英语教学提出了指导意见。他指出，教师在高三阶段应善于利用教材并合理开发；要科学控制上课容量，确保学生落实；要重视解题方法的总结，帮助学生构建知识体系。

物理、通用技术评课交流

教研员季超群肯定了叶青老师认真备课的态度以及精选习题的做法，指出应加强对高考真题的研究，在备课时，因问题施教，提高复习效率，对学生做精准的个性化分析，做好专题整理以及综合卷训练。

他听取了通用技术组高三一轮和二轮复习的计划安排与落实情况汇报，建议在教学中不要轻易动摇复习的总体步调，通过作业，有针对性的帮助学生查漏补缺，让首考复习更高效。

化学评课交流

教研员江雷对两节课给予了高度的肯定，认为复习理念准确，注重模块的融合；素材选择适宜，注重真题的利用。他建议，基础需要兼顾和强化，要加强学法指导和解题模型的建构。

他还进行了首考备考的指导，指出新的化学选考特点是减少识记性内容、强化实验考查，具有引导教学和适度纠错的功能。他建议大家一定要研究高考真题和通读化学教材，准确把握教学的进度、难度等，提高站位，凸显科学价值、落在实处，用好教材。

生物评课交流

教研员李惠新肯定了谢双琴老师呈现学生典型问题针对性分析的做法以及王克华老师对于实验设计引导学生建模的策略，指出学生错答的三个常见原因，强调了用术语规范作答的重要性。针对复习课教学，他提出了文科组合的班级要重视方法指导，重视建模；理科组合的班级要重视审题，重视规范作答的建议。

政治评课交流

教研员蒋国民肯定了从主体角度切入进行复习的有效性，同时也指出课堂要关注学生的参与度，学生参与程度直接关系到学生的学习效果。针对首考，他结合自己的经验给政治组提出了宝贵的建议。

历史评课交流

教研员陈春露肯定了江中历史备课组一贯踏实、细致的教风，指出杨冠老师的复习课形式新颖，富有创新，在指导学生学科素养的能力培养上有想法、有切实举措，同时也建议能尽可能的把例子与理论、应用结合起来。她认为，徐惠琴老师的试题讲评课细致认真，为学生提供经验和方法，是一种有效的试题讲评模式 。

地理评课交流

教研员余哲高度赞扬了杨彬、宋健两位老师的课堂，认为是“两节赏心悦目的课”。他肯定了两位老师对教材、高考真题的二次开发，引导学生在问题解决中培养关键能力，在材料阅读、分析中建构知识框架的做法。他也对江中学生的学习能力、表达能力和分析能力给予了充分肯定，希望两位老师以生为本，努力寻找学生能力的增长点；设置一些高质量问题，启发学生思维，培养学生能力；给予学生及时性的评价，引导学生深入思考，希望江山中学地理组能更好地发挥团队力量，基于教学实践展开更多的研究。

体育评课交流

衢州市体育教研员、正高级教师祝芳对学校体育课堂教学方向表示认同，认为课堂符合当前浙江省体育新课改的要求，建议把衢州市教育局教研室倡议的20个＂应知应会＂加入到体能训练内容中，在江山市乃至衢州市进行推广。

管理领导反馈交流

衢州市教研室主任徐雪斌和教研室原主任蒋维云在行政楼会议室就本次听课调研向学校管理领导进行了集中反馈。徐雪斌肯定了江中的办学成绩，通报了2023年高考的各项数据，对学校下一步的教育教学管理提出了具体要求。蒋维云就课堂教学改变、创新人才培养等方面提出了建议。

本次集体调研活动既是对学校教师教学水平的一次大检阅，也是教师找准目标、不断提升的大好机会。听课调研活动也让老师们深感市教研室对教师成长和学校发展的关注与关怀，促进了老师们课堂教学水平的提高。老师们纷纷表示，要以此次调研为契机，认真研究教材教法，深入研究高三备考策略，不断提高教育教学能力，努力提升备考效果，为2024高考再创新辉煌而努力奋斗！

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穆廖琼2400如何用向量法求点到面的距离? -
羿晓贞15313865439 ______ 给你一通用的方法 ①求出平面的法向量 ②从平面上任意一点引出到已知点的向量,求该向量在法向量上的射影长度,即该点到平面的距离

穆廖琼2400用向量法求点到平面距离 -
羿晓贞15313865439 ______ 1.找一个与这个点连接的向量PA (A在平面内) 2.求出平面的法向量n 3.求出cos<向量PA, 向量n> 4.点到平面距离d=|向量PA |*cos<向量PA, 向量n>

穆廖琼2400平面几何中用向量方法求点到平面的距离,直线到平面的距离,平面到平面的距离? -
羿晓贞15313865439 ______[答案] 点到平面的距离:在平面上任取一点和该点形成线段,找到平面的法向量,这条线段在法向量上的投影就是点到平面的距离.或者直接从该点做平面的垂线,该点到垂足的距离就是 点到平面的距离. 直线到平面的距离:只有直线与平面平行时才存在直...

穆廖琼2400如何用向量方法求点到面的距离?
羿晓贞15313865439 ______ 如: 点P(x0,y0,z0), 平面的方程求出来为 Ax+By+Cz+D=0. 距离d=绝对值(Ax0+By0+Cz0+D)/根号项(A平方+B平方+C平方).

穆廖琼2400空间向量中点到平面距离公式是什么? -
羿晓贞15313865439 ______[答案] 设n为平面α的法向量,A为面α内任意一点.点到面距离为d d=|[AP(向量)·n/(除以)|n|]|

穆廖琼2400点到面的距离公式向量法向量 -
羿晓贞15313865439 ______ 法向量点到面的距离公式:d=|(n*PA)/n|.法向量,是空间解析几何的一个概念,垂直于平面的直线所表示的向量为该平面的法向量.法向量适用于解析几何.由于空间内有无数个直线垂直于已知平面,因此一个平面都存在无数个法向量(包括两个单位法向量).

穆廖琼2400点面距离公式向量
羿晓贞15313865439 ______ 点面距离公式向量方法:距离d=面的法向量n与这一点到面上任意点连成的向量a的数量积除以|n|d=(n点a)/|n|.距离汉语词汇拼音jù,lí是指(两物体)在空间或时间上相隔或间隔的长度.也可以指感情、认识等方面的差距.

穆廖琼2400空间向量+距离怎样用向量算某点到一个面的距离.
羿晓贞15313865439 ______ 1.过点P作与已知面垂直的面,找到P的射影P',这样距离d=PP'. 2.在四面体中已知两个面的面积和一个顶点到其中一个面的距离,用等体积法. 3.在过P且与已知面垂直的直线上找另一点并作其射影.此法一般在正六面体中使用.算得的距离也可以看作是线面距离. 4.向量法 若向量n为平面的法向量,向量PA在平面的一条斜线上,则d=ㄧ向量PA*向量n︱/ㄧ向量nㄧ

穆廖琼2400求点到面的距离 用法向量 -
羿晓贞15313865439 ______ 若P为面ABC外一点,过P做PO垂直面于O PM为面的一条斜线,M为斜足 连MO 设面的一条法向量为n (打不了箭头) 则有d=|PO|=|nXPM|/n 法向量乘向量PM的绝对值 除以法向量的模

穆廖琼2400空间向量求解各种距离 [点到线,点到面,线到线,线到面,面到面的距离(利用法向量)] -
羿晓贞15313865439 ______[答案] 1.P点到线距d:在直线上取一点A,计算向量PA,直线的方向向量a,计算cosd=|PA|*sin2.P点到面距d:在平面上找一点A,计算向量PA,直平面的法向量n,计算cosd=|PA|*cos3.线到线的距离:只需平行线,回到问题14.线到面的距离,...