2022年人教版五年级上册平行四边形面积教学设计 .pdf

人教版五年级上册平行四边形的面积教学设计亚东第一小学：刘静思一、教材分析平行四边形面积计算的教学是人教版新课程标准五年级上册第六单元多边形的面积 中的教学内容，几何知识的初步认识贯穿在整个小学数学教学中，是按由易到难的顺序呈现的。本节课是在学生掌握了这些图形的特征及长方形、正方形面积计算的基础上学习的，它和三角形、梯形面积计算联系比较紧密，也是为今后进一步学习圆面积和立体图形表面积打下基础。平行四边形面积的计算是在学生已经掌握并能灵活运用长方形、正方形面积计算公式，理解平行四边形特征的基础上，进行教学的。而且，这部分知识的学习运用会为学生学习后面的三角形，梯形等平面图形的面积奠定良好的基础。由此可见，本节课是促进学生空间观念发展，渗透转化、等积变形等数学思想方法的重要环节。学好这部分内容，对于解决生活中的实际问题的能力有重要的作用。二、学情分析学生在上册书中，已经知道了长方形面积公式，掌握了平行四边形的特征会做高，为了让学生更好的理解掌握平行四边形面积公式，因此在教学中采用动手操作，小组讨论，引导启发，演示过程的方法，并通过运用面积公式解决日常生活中的问题，使学生感到数学源于生活，用于生活的思想，感受到数学知识的应用价值。三、教学目标1、结合集体情境，通过操作活动，经历推导平行四边形的面积计算公式并交流方法的过程。2、通过长方形面积计算知识迁移，理解平行四边形面积的计算公式，并能正确计算平行四边形面积，会运用计算相关图形的面积并解决一些实际问题。3、通过观察、比较活动，初步认识转化的方法，培养学生的观察、分析、概括、推导能力，发展学生的空间概念。让学生在观察、推理、归纳等数学活动中进一步体验数学与生活的联系，提高数学学习的兴趣。四、教学重点、难点教学重点：让学生充分利用手中的学具，在动手操作推导平行四边形面积公式的过程中，探索平行四边形面积的计算公式，理解并掌握平行四边形面积的计算方法，能正确计算平行四边形的面积。教学难点：推导平行四边形的面积计算公式的过程和让学生在推导和验证平行四边形面积公式的过程中，充分体验转化的数学思想，形成一定探究意识和能力，发展空间观念。五、教具准备每个学生准备一个平行四边形。六、教学过程一、复习旧知，导入课题教师出示二个图形（其中有1 个长方形和 1 个正方形，并告诉长和宽）师：同学们看，这二个图形你们熟悉吗？你能说出它们的名称并计算出他们的面积各是多少吗？生：长方形和正方形，面积分别是8 和 4 师：刚才同学们计算了长方形和正方形的面积，能告诉大家这两个图形的面积计算公式吗？生：正方形面积=边长 边长长方形面积=长 宽师：其实我们算的图形的面积就是指图形的大小。教师出示一个平行四边形师：同学们看这是什么图形？生：平行四边形师：它有什么特征？生：两组对边分别平行且相等师：它有什么特性？生：不稳定性师：对，同学们，前面我们已经认识了平行四边形的这些性质，今天当你再次看到它时，你最想知道关于它的什么信息？生 1：我想知道平行四边形的面积公式是什么。生 2：我想知道长方形的面积与平行四边形的面积有什么联系。生 3：平行四边形面积与什么有关。生 4：平行四边形的面积公式是怎样得到的。师：好！既然大家想知道这么多，今天这节课让我们一起研究平行四边形的面积，相信通过大家的研究，你心中的疑问就能解开。（板书：平行四边形的面积）【设计意图】通过复习长方形和正方形的面积计算公式，引出课题平行四边形的面积。计算长方形和正方形的面积与计算平行四边形的面积是紧密相连的，通过旧知识为新知识打基础，新知识带动和加深旧知识。在导入新课前先复习旧的知识，以旧带新，合乎逻辑，顺理成章。再由已知导向未知，自然过渡，学生就能在轻松愉快的气氛中学习知识，并把前后知识系统化。这种由已知过度到未知，可使新旧知识自然衔接，还能够激活学生的旧知识，为“同化”新知识提供方便，并能使学生产生成功感，并为后继的学习提供动力。二、动手实践，探究新知1、猜想平行四边形的面积与什么有关师：同学们猜想一下平行四边形面积的大小与什么有关呢？生：与平行四边形的两个边的长短有关。师：谁能猜一猜平行四边形的面积怎么计算。文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3生：用平行四边形的一边 另一边师：平行四边形的面积该如何计算呢？接下来让我们一起探究平行四边形的面积是怎么推导的？验证你们的猜想是否正确。【设计意图】让学生自己猜想平行四边形的面积与什么有关及其计算公式，不仅可以激发了学生学习数学的兴趣，而且充分发挥了学生学习数学的主体性，也有助于培养学生自主探索，合作学习的精神。2、探究平行四边形的面积公式师：在探究之前我们大家动手来做个图形变换游戏，把你们手中的平行四边形变成一个长方形（要求剪一刀，注意：剪歪了怎么办？）生：（用三角尺画一条线）学生独立剪拼，教师了解情况，尤其关注学困生。师：谁愿意展示一下自己的剪拼成果？（找同学展示他们的作品，并说明是怎么操作的）生：我先画一条高，沿着高剪开，把它分成一个三角形和一个梯形。然后将其中一部分平移。师：和他做法一样的举手，有没有和他们剪法不一样的？到前边展示。生：我也做了一条高，不过这是从中间剪开的，分成的是两个梯形。然后将其中一部分平移，就拼成了长方形。师：同学们的这两种做法都很好，让我们看一下用课件演示剪拼的过程。我们只要沿着平行四边形的任意一条高剪开，通过平移就可以拼成一个长方形。【设计意图】学生自己动手操作，探究平行四边形的面积公式。小学生的思维特点是以具体形象思维为主，且有好动好奇的特点。在教学过程中有目的、有组织地让学生观察、通过画一画、剪一剪，摆一摆等操作活动，一方面可以满足学生好动好奇的要求，另一方面有利于引导学生在观察操作中进行猜想。3、反馈交流得出公式师：通过刚才的剪拼想想：平行四边形和拼出的长方形有什么关系？从以下三方面思考：(1)我们把平行四边形转化成长方形，原来的长方形与这个平行四边形的面积相等吗？(2)平行四边形的底与这个长方形的长有什么关系？(3)原来平行四边形的高与拼成的长方形的宽有什么关系？（独立思考，然后小组交流意见）小组汇报：(1)平行四边形的面积与拼成的长方形的面积相等。(2)平行四边形的底与拼成的长方形的长相等。(3)平行四边形的高与拼成的长方形的宽相等。师：同学们说的都很好，平行四边形的面积与长方形的面积相同，平行四边形的底是长方形的长，高是长方形的宽。那么谁能说出平行四边形的面积公式？生：平行四边形的面积=底 x 高师：你想的和数学家一摸一样，你能结合刚才的剪拼过程说说是怎么得来的吗？生：长方形的面积=长 x 宽=底 x 高=平行四边形的面积师：字母 a 表示平行四边形的底，h 表示平行四边形的高，s 表示平行四边形的面积。让学生总结（教师板书）文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3S=a h=a h=a h 师：从推导的过程和我们得到的公式可知要求平行四边形的面积就得知道什么？生：底和高师：反过来知道平行四边形的一组对应底和高就能求什么？生：面积师：好极了，你们掌握了求平行四边形面积的方法了吗？下面你们就量一量再算一算自己手中的平行四边形的面积。师：同学们，我们刚才根据实际需要，共同讨论，掌握了一个很重要的知识平行四边形的面积。我们再来练一练。【设计意图】这一自主探索活动，注重动手操作、合作交流，让学生亲历探究获取知识的过程，体验成功学习的快乐，充分调动了学生的积极性、主动性。三、练习巩固1、填空任意一个平行四边形都可以转化成一个（），它的面积与原平行四边形的面积（）。这个长方形的长与原平行四边形的（）相等。这个长方形的（）与原平行四边形的（）相等。因为长方形的面积等于（）,所以平行四边形的面积等于（）。2、判断，并说明理由（1）两个平行四边形的高相等，它们的面积就相等（）。（2）平行四边形底越长，它的面积就越大（）。3、计算下面每个平行四边形的面积。（1）底=24厘米，高=10 厘米24 10=240（平方厘米）（2）底=4.3 米，高=3米4.3 3=12.9（平方米）4、书上 82 页练习十五 1 题。一个平行四边形的停车位底长5m，高 2.5m,它的面积是多少?S=ah=5 2.5=12.5(平方米)【设计意图】在练习中，检查一节课的教学效果，巩固学生对平行四边形面积的计算公式的认识，加深对平行四边形面积公式的记忆，为课后解决平行四边形面积的应用打下基础与。四、思维拓展1、等底等高的平行四边形的面积相等。2、有几种方法求下图的面积？【设计意图】课外知识的拓展，丰富学生的知识面五、总结完善师：通过这节课的学习，你们有哪些收获？生 1：我知道了平行四边形的面积公式可以利用它解决问题。生 2：探索新知时我们有时可以把新旧知识联系起来用转化的方法解决。师：同学们学得真棒，我们利用分割和平移的方法把平行四边形转化成学过的长方形，发现其中变与不变的规律，根据他们之间的联系，同学们自己推导出了平文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3行四边形的面积计算公式，可以用公式解决实际问题，以后我们还要用这种思想方法继续学习其他图形的面积。师：下课后，找一个生活中的平行四边形实物,想办法计算它的面积.七、板书设计平行四边形的面积长方形的面积=长 x 宽平行四边形的面积=底 x 高长方形的面积=长 x 宽=底 x 高=平行四边形的面积字母 a表示平行四边形的底h 表示平行四边形的高S=a h=a h=a h s 表示平行四边形的面积09 数教（1）班徐平3090821134 文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3文档编码:CP9U9U9Y7D6 HU8R1B5M6X1 ZQ9Z7P2T3D3