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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通丁哀4929小学6年级数学关于圆柱与圆锥的知识 -
徒潘印19476733072 ______ 圆锥的底面圆的半径是18.84÷2÷3.14=3米 圆锥的底面积是3.14*3²=28.26平方米 圆锥的体积是1/3*28.26*6=56.52立方米

通丁哀4929如何理解小学六年级圆锥与圆柱的体积区别 -
徒潘印19476733072 ______[答案] 圆柱大,圆锥小,一个圆柱三个锥,圆锥体积是圆柱体积的1/3

通丁哀4929小学六年级数学题(圆柱和圆锥) -
徒潘印19476733072 ______ 解析:把一个圆柱形木块切削成一个最大的圆锥说明这个圆柱与圆锥等底等高的,则,削掉部分的体积是圆柱体积的2/3;这个圆柱的体积是:18.84÷(2/3)=28.26(㎝³) 答:这个圆柱的体积是28.26㎝³.

通丁哀4929六年级下册人教版圆柱与圆锥备课,教案,课件 -
徒潘印19476733072 ______[答案] 课 时 备 课 本学期总第 课时 本单元第1课时 授课日期 课题:圆柱的认识 课型:新授课 主备人:复备人: 教学目的:1、使学生认识圆柱的特征,能看懂圆柱的平面图. 2、认识圆柱侧面的展开图. 重点难点关键:掌握圆柱的特征 教具:长方体、正方...

通丁哀4929六年级圆柱与圆锥 -
徒潘印19476733072 ______ 一段圆柱木头,把它成一个最大的圆锥,削去的部分是原来体积的( 2/3 ),是圆锥体积的( 2倍 )

通丁哀4929六年级圆柱与圆锥应用题解答,要求一定要用方程解把一个底面半径是9厘米,高12厘米的圆锥体钢块,熔铸成一个底面半径是6分米的圆柱体,圆柱的高是多... -
徒潘印19476733072 ______[答案] v=3.14*0.09*0.09*0.12/3 =3.14*0.6*0.6*h h=0.0009m=0.09cm

通丁哀4929小学六年级奥数(圆柱和圆锥) -
徒潘印19476733072 ______ 分析:铅锤取出后,水面下降部分实际是圆锥的体积,求出圆锥的体积,转化为圆柱的体积,即可求出水面下降的高度. 解答:解:因为玻璃杯是圆柱形的,所以铅锤取出后,水面下降部分实际是圆锥的体积,这个 圆柱的底面与玻璃杯的底面一...

通丁哀4929六年级下册数学圆柱.圆锥的全部公式 -
徒潘印19476733072 ______ .圆柱的侧面积=底面圆周长*高 字母表示:S侧=C底h 2.底面圆周长=圆周率*直径=圆周率*2*半径 字母表示:C底=πd=2πr 3.求圆柱的表面积三步: (1)圆柱的底面积=S底=πr²=π(d÷2)²=πd²÷4 (2)圆柱侧面积=S侧=h*C底(底面圆周长)=2πrh...

通丁哀4929六年级圆柱与圆锥一个长方体,棱长总和是96厘米,它的长宽高的比是3:2:1,若把它削成一个最大的圆柱,求圆柱的体积? -
徒潘印19476733072 ______[答案] 设最短边为X,4(X+2X+3X)=96,X=4,2X=8,3X=12 圆柱体积=底面积乘以高 以4、8为底面长度宽度,12为高.体积为π*2*2*12=48π 以8、12为底面长度宽度,4为高.体积为π*4*4*4=64π 以4、12为底面长度宽度,8为高.体积为π*2*2*8=32π 综上所述,最...

通丁哀4929六年级'圆柱与圆锥'1.底面半径是9厘米的圆柱体的容器与底面半径是12厘米的圆锥体容器的高相等.现将圆锥体容器中盛满水,然后倒入圆柱体容器中,水... -
徒潘印19476733072 ______[答案] 设圆柱体、圆锥体容器高X厘米. 由题意得:9²*3.14*(九分之八*X-2)=12²*3.14*X*三分之一 81*3.14*(九分之八*X-2)=150.72X 226.08X-508.68=150.72X 75.36X=508.68 X=6.75 答:圆锥体容器高6.75厘米.