为落实“双减”政策中减负增效的实践作业要求，探索实现数学新课程标准中培养学生创新精神和实践能力的这一重要目标之路，渭南高新区第一小学六年级数学老师结合本学期“圆柱和圆锥”教学内容，设计了“玩转柱锥”为主题的实践作业活动。

活动一：滚一滚

利用滚动法求圆柱的侧面面积，学生通过观察滚动所形成的图形，进一步了解圆柱侧面的特性。

活动二：剪一剪

学生利用现成的圆柱模型，沿着不同方向将侧面剪开，观察比较展开图的异同点，并体验圆柱侧面积、表面积计算公式的推导过程。

活动三：切一切

学生按不同方式将生活中的“圆柱”和“圆锥”切开，探究截面，了解“截面”的产生过程，体会“面源于体”。

活动四：拼一拼

我们能把一个圆采用“化曲为直”的思想方法推导面积计算公式，同样，让学生用转化思想，通过动手实践，推导圆柱体积计算公式。

活动五：做一做

学生在了解了圆柱、圆锥特点之后，制作圆柱与圆锥创意作品，提高学生的实际操作能力，让学生充分参与到“做数学”的活动中。

活动六：画一画

圆柱与圆锥知识点多而杂，但知识点之间不是孤立的，让学生从多维度对圆柱和圆锥的知识点进行整理，找出知识点之间联系，绘制思维导图，编织自己的知识网。

此次实践活动中，同学们不断在做中学，学中思，思中悟，进一步理解了圆柱和圆锥的特征，发现了两者之间的联系和区别，发展了空间想象能力、逻辑推理能力，体会了数学的应用价值，让学生得以跳出课堂，放飞手脑，去探索更广阔的数学世界!

撰稿：冯琳

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莘江瑞1479有关圆柱和圆锥的体积推导公式的过程 -
蒲和食19725859655 ______ 圆柱,把圆柱体平均分成诺干等分再拼成一个近似的长方体,再用长方体的体积公式底面积成高也就是圆柱的体积.圆锥,把它看做与它等底等高等圆柱体,而这个圆锥的体积就是这个与他等底等高的圆柱体积的3分之1

莘江瑞1479等底等高的圆柱与圆锥 -
蒲和食19725859655 ______ 1、圆柱的体积计算公式的推导: 把圆柱切割开,拼成近似的长方体,使圆柱体的体积转化为长方体的体积.根据长方体的体积=底面积*高,推出圆柱体的体积=底面积*高. 用字母表示:V=Sh 2、圆锥的体积计算公式的推导是通过实验得到的: 将一个圆锥体中放满沙子,再将这些沙子倒进一个与圆锥体等底等高的圆柱体中,而这些沙子正好是圆柱体的3/1,所以圆锥体的体积公式是V=底面积乘以高再乘以3/1. 通过实验证明,等底等高的圆柱体和圆椎体之间的关系:圆锥体的体积是与它等底等高的圆柱体体积的三分之一. 用字母表示: V=1/3Sh

莘江瑞1479一个圆柱与一个圆锥的底面积和体积分别相等.已知圆柱高4dm,圆锥的高是多少 ? -
蒲和食19725859655 ______ 圆锥的体积等于底面积乘高再除以3,圆锥的体积是同圆柱的1/3!因此当二者底面积和体积相等时,圆锥的高是圆柱高的3倍,即4*3=12(分米),答:圆锥的高是12分米. 扩展资料:圆锥是一种几何图形,有两种定义.解析几何定义:圆锥面和一个截它的平面(满足交线为圆)组成的空间几何图形叫圆锥.立体几何定义:以直角三角形的直角边所在直线为旋转轴,其余两边旋转360度而成的曲面所围成的几何体叫做圆锥.旋转轴叫做圆锥的轴. 垂直于轴的边旋转而成的曲面叫做圆锥的底面.不垂直于轴的边旋转而成的曲面叫做圆锥的侧面.无论旋转到什么位置,不垂直于轴的边都叫做圆锥的母线.(边是指直角三角形两个旋转边)

莘江瑞1479一个圆柱与一个圆锥的底面积和体积分别相等.已知圆柱的高是4dm -
蒲和食19725859655 ______ 第一题: 分析:根据等底等高的圆锥的体积是圆柱体积的1/3,已知圆柱与圆锥等底等体积,圆柱的高是4分米,那么圆锥的高是圆柱高的3倍.由此解答. 解:4*3=12(分米) 答:圆锥的高是12分米. 拓展资料: 考点:圆锥的体积,圆柱的侧面积...

莘江瑞1479两个等底等高的圆柱与圆锥 -
蒲和食19725859655 ______ Nadyfour,你好:(1)如果圆柱体积是26.1立方分米,求圆锥的体积.26.1*1/3=8.7(立方分米) (2)如果圆柱与圆锥的体积之和是43.2立方分米,求圆柱与圆锥的体积.圆锥体积:43.2÷(3+1)=10.8(立方分米) 圆柱体积:10.8*3=32.4(立方分米) (3)把圆柱削成最大的圆锥,诺削成的圆锥体积是72平方厘米,削去部分的体积是多少厘米?72*2=144(立方厘米)

莘江瑞1479圆柱表面积的思维导图怎么解说 怎么画 -
蒲和食19725859655 ______[答案] 将圆柱沿高剪开,摊平,形成长方形,侧面积等于长方形的面积.而表面积等于侧面积与底面积之和,所以圆柱的表面积等于原来的侧面积也就是两个圆加上长方形的面积.图的话,长方形的长画成圆柱底面周长,宽画成圆柱高,两个圆的大小等于原...

莘江瑞1479圆柱和圆锥有什么不同点??有什么相同点?? -
蒲和食19725859655 ______ 圆柱和圆锥共同点:底面都是圆形圆柱和圆锥不同点:圆柱侧面展开图是长方形(或正方形)正截面也是长方形(或正方形),且上下底面相等. 圆锥侧面展开图是扇形,正截面...

莘江瑞1479(2013?佛山)并排放置的等底等高的圆锥和圆柱(如图)的主视图?
蒲和食19725859655 ______ 圆锥的左视图是三角形,圆柱的左视图是长方形,故选:B.

莘江瑞1479六年级数学圆柱与圆锥一个圆柱形的玻璃杯中盛有水,水面高是2.5厘
蒲和食19725859655 ______ 解:设水面上升了x厘米. 6*6(2.5+x)=72x 36(2.5+x)=72x 90+36x=72x 36x=90 x=2.5 所以水面高:2.5+2.5=5厘米.

莘江瑞1479圆柱与圆锥 -
蒲和食19725859655 ______ (1)9*9*1/3:3*3=3:1(2)【(4/2*4/2*3.14)*6】*3÷【(6/2*6/2)*3.14】=8(厘米)