2022年《圆的认识》教学设计3 .pdf

《2022年《圆的认识》教学设计3 .pdf》由会员分享，可在线阅读，更多相关《2022年《圆的认识》教学设计3 .pdf（5页珍藏版）》请在淘文阁 - 分享文档赚钱的网站上搜索。

1、圆的认识教学设计花山街道新排小学：付美菊一、教学目标：1 知识目标：通过观察生活中圆，感知对圆的认识；通过讨论、猜测、验证，理解对圆的认识；通过画圆，知道圆心和半径的作用，会用圆规画圆，提高对圆的认识；，知道圆的性质及特点。2 能力目标:通过圆的性质知道如何画圆，并知道圆的半径和直径之间的关系，知道如何区分半径和直径，学会用圆规画圆。3、情感目标：使学生通过想象与验证、观察与分析、动手操作、合作交流等活动，获得基本的数学知识和技能，进一步发展学生思维能力和初步的空间观念，通过欣赏生活中的圆、用圆设计的图案，发现数学美，提高学习的兴趣。二、教学重、难点:1、直观地认识圆的特征，学会用圆规画圆。2

2、、明确圆心与圆的位置之间的关系，半径与圆的大小的关系。三、教具准备:电脑课件及学生操作用圆、圆规、刻度尺等。四：教学过程：（一）、情境导入（出示课件）欣赏生活中的圆，导入新课。板书课题：圆的认识（二）、自主探究新知1、初步感知圆-圆是曲线图形 1.感知圆是曲线图形【活动 1】表象感知今天老师也给你们带来了一些美丽的图片，请看图片：十五的月亮、向日葵的圆盘、硬币、圆形桌面、圆形挂钟，看后思考回答：这几幅图片，它们有什么共同特征呢？板书课题：圆【活动 2】比一比，摸一摸（1）先让学生观察课前准备好的圆形纸片、硬币、圆镜片、光碟的边缘、与正方形、长方形、三角形、平行四边形、梯形的边相比有何不同？（让

3、学生畅所欲言，肯定他们的答案）（2）再让学生触摸手中的实物圆形纸片、硬币等物体的边缘，进一步感知圆是由曲线围成的封闭图形-曲线图形。2、再探圆的奥秘-学习圆的概念：圆心、半径、直径【活动 3】折一折，画一画，议一议认识圆心（1）以四人为一小组，将课前准备的圆形纸片对折，使两侧边缘完全重合，然后打开，再换方向对折，再打开，反复折几次，仔细观察这些折痕，看看他们发生了什么关系？（2）你们的发现，能与大家一起交流分享吗？请大胆说出来。小结：这些折痕相交于一点，这一点我们称它为圆心，用字母 o 表示。（边总结边出示课件）（3）请同学们标出自己手中那个圆的圆心。认识直径和半径（1）理解半径与直径的概念教

4、师指出：上面对折时的折痕其实就是圆的直径。文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4

5、H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:

6、CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2

7、HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 Z

8、X4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编

9、码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W

10、2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7文档编码:CU5J10J5D8W2 HG8I4C2R5C9 ZX4H8T4X2T7发问：仔细观察，这些折痕都经过了哪一点？是直线还是线段？端点在哪里？学生先自己发现，然后和本组成员交流并组织语言归纳、汇报。根据学生的回答，教师加以小结：通过圆心并且两端都在圆上的线段叫做直径。直径一般用字母d表示。接着指

11、出圆心到圆上任意一点的线段就是圆的半径。连接圆心和圆上任意一点的线段叫做半径。半径一般用字母r 表示。请同学们标出自己手中圆的一条直径和半径。（2）区分半径与直径师：如何判断一条线段是不是圆的半径或直径？生讨论交流，并推举本组成员回答，比一比看哪一组发现多，总结的全面准确。过圆心；两端必须在圆上。一个端点是圆心，另一端点在圆上。练习：让学生说出图中哪些线段是半径，哪些线段是直径？哪些不是，为什么？（三）、打开智慧之门-探索同圆与等圆中半径与直径的关系【活动 4】猜一猜，画一画，量一量，比一比1猜一猜：（1）同一个圆中，有多少条半径，它们之间有怎样的关系？直径呢？（2）同一个圆中，半径与直径又有

12、怎样的关系？2.验证猜想 动手操作（1）请同学们在圆纸片上画出半径，10 秒钟，看能画出多少条？再用直尺量一量画出的半径有多少厘米？你发现了什么？文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5

13、L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5

14、F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR

15、9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3

16、X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4

17、U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:

18、CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3（2）再请同学们在圆纸片上画出直径，请同学们再量一量画出的直径有多少厘米？你发现了什么？（3）根据你的测量，在同一个圆

19、里，半径与直径之间有什么关系？你能用字母表示同圆中直径与半径的关系吗？学生相互交流补充。利用课件演示进一步验证猜想的正确性。3.引导学生归纳总结。在同一圆中有无数条半径，所有半径都相等；在同一圆内有无数条直径，所有直径都相等；直径等于半径的2 倍，半径是直径的1/2；d=2r 或 r=d/2 4.如果两个圆相等，那么它们的半径有什么特点？直径呢？先用课前准备的两个大小一样的圆形纸片重合，让学生观察，说出自己的发现；交流总结：在同圆或等圆中，半径相等，直径也相等。5.数学游戏：填表格。（四）圆的画法活动 1自己先试着用圆规画一画圆，然后在小组内讨论一下，你发现了什么？学生汇报：教师板书，圆规两脚

20、叉开的宽度就是圆的半径，圆规针尖的一端就是圆的圆心。活动 2同学们再对比一下，你画的圆和他画的圆一样大吗？讨论交流，你发现了什么？学生汇报：教师板书，半径决定圆的大小，圆心决定圆的位置。文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档

21、编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J

22、4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D1

23、0 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3

24、文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T

25、8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6

26、D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3活动 3你们自己讨论着画一个半径是3 厘米的圆。学生汇报：教师板书，画圆的方法

27、：1、定长（半径）2、定点（圆心）3、旋转一周。（五）练习画圆。（六）老师有一个疑惑，车轮为什么要做成圆的？车轴应安在什么地方？（七）作业：在一个正方形内画一个最大的圆。文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2

28、X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L

29、1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F

30、4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9

31、A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X

32、5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3文档编码:CR9A2X3T8J4 HM3X5L1R6D10 ZK4U5F4T4B3