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* 张希彩 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 不规则物体 圆柱的认识 表面积 特点 圆柱圆锥 体积 圆锥的认识 体积公式 圆锥的体积 圆锥体积 公式的推导 圆锥体 积公式 侧面积 底面积 展开图 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 1、有两个底面: 2、一个侧面: 面积相等 长 高 长=底面周长 圆柱的特征: 宽 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 圆锥的特征: 扇形 侧面展开 底面圆形 从圆锥的顶点到底面圆心的 距离叫做圆锥的高。 h Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 底面周长高=ch 两个底面面积+侧面积 = 侧面积= 表面积= 体积= 底面积高 V=sh= 高=体积底面积 h=VS 底面积=体积高 S=Vh 圆柱 底面 底面 高底面的周长 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 回忆下圆锥的体积公式推导过程 体积= 圆锥 圆锥的高h=3VS 圆锥的底面积S=3Vh Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 如图所示,在一个内直径是6cm的瓶子里, 水的高度是10cm,把瓶盖拧紧倒置放平, 无水部分是圆柱形,高度是8cm,这个瓶子 的容积是多少? 容积=水的体积无水部分空气的体积 树状图 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 说出下列各题与我们所学的哪些知识有关。 1、做圆柱形烟囱需要多少铁皮。 2、大厅里圆形柱子的占地面积。 3、圆柱形水池可蓄多少吨水。 4、做一个圆柱形无盖水桶。 5、压路机前轮滚过的面积。 6、圆锥形沙堆的重量。 7、挖一圆柱形池塘要挖出多少土。 (表面积 ) (容积) (底面积) (侧面积 ) (侧面积) (体积) (体积) Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 20cm 30cm 仔细观察这根木头,结合圆柱和圆 锥的知识,以及我们的生活实际,展开 你们想象的翅膀,看看你能提出什么样 的实际问题来。 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 20cm 30cm 1、求侧面积,表面积,体积 2、切:横切、纵切 3、削出圆锥 4、与它等体积的圆锥 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 20cm 30cm 1、把这个木头横着放,滚动一圈,滚 动的面积是多少? 求的是圆柱的什么? Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 20cm 30cm 2、把这根木头全都刷上油漆,刷 油漆的面积有多大? 求的是圆柱的什么? Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 3、这个木头的体积是多少? 20cm 30cm 若1立方分米的木料重0.4千克, 这块木料的重量的多少? Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 4、把这个圆柱形的木头削成最大的圆 锥形,这个圆锥形的体积是多少?削 去的体积是多少? 20cm 30cm 求的是圆柱的什么? 等底等高的圆柱与圆锥 体积之比是3:1 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 5、如果沿着底面直径把 这个圆柱切开,那么它 的表面积增加了多少 ? 20cm 30cm Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 6、如果木头浮在水面上,正好一半露出 水面,这根木头与水接触面的面积是多少 ? 30cm Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 7、把这个圆柱切成四段,它的 表面积有什么变化? 20cm 30cm Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 8、如果截去4厘米高的一截, 它的表面积会有什么变化呢? 20cm 30cm 4cm Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 9、如果一个圆锥与这 个圆柱的体积和高 均相等,那么这个 圆锥的底面积是多 少? 20cm 3dm 等高等体积 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. * 10、如果一个圆锥与这 个圆柱的体积和底 面积均相等,那么 这个圆锥的高是多 少? ?dm 20cm 3dm 等底等体积 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 想一想,填一填。 一个圆柱与圆锥等底等高,已知圆锥的 体积是9dm3,圆柱的体积是( ) 。 一个圆柱与圆锥等高等体积,已知圆柱的 底面积是6m2,圆锥的底面积是( ) 。 一个圆柱与圆锥等底等体积,已知圆锥 的高是12cm,圆柱的高是( )。 27dm3 18m2 4cm Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile .Created with Aspose.Slides for .NET 3.5 Client Profile . Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd. 思考题 如图,想想办法,你能否求 它的体积?( 单位:分米) 2 4 6 6 4 2 V=3.1412(4+6)2 =15.7(立方分米) r=22=1(分米) Evaluation only.Evaluation only. Created with Aspo

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