2019-2020年高中数学必修一人教版教案:2-1-4函数的奇偶性习题课.pdf
-
资源ID:55854805
资源大小:83.07KB
全文页数:5页
- 资源格式: PDF
下载积分:4.3金币
快捷下载
会员登录下载
微信登录下载
三方登录下载:
微信扫一扫登录
友情提示
2、PDF文件下载后,可能会被浏览器默认打开,此种情况可以点击浏览器菜单,保存网页到桌面,就可以正常下载了。
3、本站不支持迅雷下载,请使用电脑自带的IE浏览器,或者360浏览器、谷歌浏览器下载即可。
4、本站资源下载后的文档和图纸-无水印,预览文档经过压缩,下载后原文更清晰。
5、试题试卷类文档,如果标题没有明确说明有答案则都视为没有答案,请知晓。
|
2019-2020年高中数学必修一人教版教案:2-1-4函数的奇偶性习题课.pdf
2019-2020年高中数学必修一人教版教案:2-1-4 函数的奇偶性习题课课题函数的奇偶性课时第 1 课时课型习题课教学重点奇偶性的综合应用。依据:教参,教材,课程标准,2017年高考大纲教学难点奇偶性与单调性的综合应用。依据:教参,教材,自主学习目标一、知识目标:1、能记住函数奇偶性的定义,能说出函数的奇偶性几何意义。2、会运用函数的单调性与奇偶性,解决函数单调性和奇偶性综合应用问题二、能力目标:体验综合问题的应用。体验数学中数型结合的重要思想。理由:依 据本 节课 重难 点制定教具投影、教材,教辅教学环节教学内容教师行为学生行为设 计 意图时间1.课前 3分钟练习卷巡视1、给出标准答案2、改正错误明 确 本节 课 学习目标,准 备 学习。3分钟2.承接结果例 11应用奇偶性求值2应用奇偶性求解析式例 2 应用奇偶性和单调性解不等式1巡视检查学生 预 习 习题完成情况,进行 及 时 评价。2补充学生出现的漏洞。3.解 决 学 生的问题,并达3、学生自己展示预习习题完成情况。4、其余学生互相补充并学生对所展示习题进行评价。5、质疑、解答。验 收 学生 自 主学 习 的结果,并解 决 学生 自 主学 习 中遇 到 的困惑。10分钟成共识1、巡视2、找到存在的问题1、学生独立完成2、小组之间讨论3.做议讲 评例 3 抽象函数的奇偶性1、巡视学生的完成情况。2、对学生的展示 和 评 价要给 予 及 时的反馈。3.要 对 学 生不同 的 解 题过程 和 答 案给出 准 确 的评价,总结。1、学生先独立完成教辅例题,然后以小组为单位统一答案。2、小组讨论并展示自己组所写的通项公式。其 他 组 给 予 评价主要是找错在 具 体问题中,探 索 量与 量 之间 的 关系,利用图 像 解决问题13分钟4总结提 升四、课堂小结1、熟记重点知识,反思学习思路和方法,整理典型题本2、如何掌握基本函数图像的应用1、提问:本节课学 习 目 标是否达成?2、引导学生总结函数图像如何应用1、抽签小组展示讨论的结果。2、总结方法体 会从 特殊 到一 般的思维,5分钟5随堂检测1、巡 视 学1、小考本上作检 查 学文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6目 标检 测生作答情况。2、公 布 答案。3、评 价 学生作答结果。答。2、同桌互批。3、独立订正答案。生 对 本课 所 学知 识 的掌 握 情况。5分钟6 布置下节课自主学习任务7.板书8.课后反思1、整理错题本2、完成习题卷【板书设计】一、典型例题例 1:例 2:变式 1:变式 2:让学生明确下节课所学,有的放矢进行自主学习。4 分钟文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6课前三分钟预习自测:1已知偶函数()fx在上是增函数,则(2)(3)ff与的大小关系是 .2奇函数()f x在区间m,n)(其中 mn0 时,32()1f xxx,求函数()f x的解析式例 2:(),(1,1)(1,1)(1-)(1-3)0.yf xxfxfx已知奇函数和上是减函数,解不等式思考 1:通过函数的奇偶性可以将不等式(1-)(1-3)0fxfx怎样变形?思考 2:通过函数的单调性,能否得到1-x 与 3x-1 之间的关系?例 3、假设函数)(xfy对任意,Ryx恒有)()()(yfxfyxf。1求证:)(xfy是奇函数;2假设,)3(mf求).12(f文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X63如果0 x时,0)(xf且21)1(f,试求)(xf在区间6,2上的最大值和最小值。随堂检测1.在以下命题中,真命题是A.函数1yx是奇函数,且在定义域内为减函数B.函数 y=3x3(x-1)o是奇函数且在定义域内是增函数C.y=x2是偶函数,且在-3,0上为减函数D.y=ax2+c(ac0)是偶函数,且在 0,2上为增函数2.以下函数中是偶函数的是A.2()|f xxx(1,1xB.21()f xxxC.24()2xf xx D.,0(),0 x xf xx x3.给出以下四个函数:f(x)=1-x2;f(x)=-3x+1;f(x)=2x;2()1xxf xx。其中既是奇函数又是定义域上的减函数的有A.0 个B.1 个C.2 个D.3 个4.对于定义域为 R的偶函数,以下结论恒成立的是A.f(x)+f(-x)0 B.f(x)-f(-x)=0 C.f(x)f(-x)0 D.f(x)f(-x)0 5.已知函数2()3f xaxbxab是偶函数,且其定义域为a1,2a,则A.1,03abB.1,0abC.1,0abD.3,0ab文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6文档编码:CG5A6Y7J3A1 HT6L7G8E1S7 ZR2H2P1R8X6