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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郦枫淑894圆锥与它等底等积的圆柱之间的关系(4条) 圆锥与它等高等积的圆柱之间的关系(4条) -
蒲玉仪15144434673 ______ 圆锥与它等底等积的圆柱之间的关系(4条) 1、圆锥的高是与它等底等积的圆柱的高的3倍, 2、圆柱的高是与它等底等积的圆锥的高的1/3, 3、圆锥的高比与它等底等积的圆柱的高多2倍, 4、圆柱的高比与它等底等积的圆锥的高少2/3. 圆锥...

郦枫淑894圆柱与圆锥 数学日记 -
蒲玉仪15144434673 ______ 1. 圆柱体特点: 一个圆柱体是由两个底面和一个侧面组成的. 圆柱体的两个底面是完全相同的两个圆. 两个底面之间的距离是圆柱体的高. 一个圆柱体有无数条高与对称轴. 圆柱体的侧面是一个曲面. 圆柱的侧面积=底面周长x高 圆柱的...

郦枫淑894圆柱和圆锥的表面积和周长. -
蒲玉仪15144434673 ______ 我按小学的概念回答围成圆柱的两个底面和一个侧面的总面积叫做圆柱的表面积.围成圆锥的一个底面和一个曲面的总面积叫做圆锥的表面积 .物体所占空间的大小叫做物体的体积.所以,圆柱和圆锥所占空间的大小,就叫做圆柱和圆锥的体积.平面图形一周的总长度,叫做图形的周长.图形所占平面的大小,叫做图形的面积.

郦枫淑894小学六年级数学练习题(圆柱和圆锥) -
蒲玉仪15144434673 ______ 1、一个圆柱与一个圆锥同底等高,若圆柱的体积是24立方厘米,那么圆锥的体积是_8立方厘米___;若圆锥的体积是0.7立方厘米,那么圆柱的体积是__2.1立方厘米__. 2、一个圆柱的体积比一个与它同底等高的圆锥的体积大90立方厘米,则圆锥的体积是__45立方厘米__,圆柱的体积是__135立方厘米__.在同底等高的情况下 圆锥的体积是圆柱的 1/3

郦枫淑894一个圆柱和一个圆锥,它们的体积和底面半径分别相等,已知圆柱高4厘米,圆锥高多少厘米? -
蒲玉仪15144434673 ______ 圆柱体积=底面积*高 圆锥体积=1/3底面积*高 圆柱与圆锥地面半径相等,体积也相等,则圆锥的高=3*圆柱的高12厘米

郦枫淑894圆柱和圆锥的相同点和不同点分别是: -
蒲玉仪15144434673 ______[答案] 相同点:1.它们都有一个曲面.2.它们的底面都是园.3.他们都有高.4.他们都有底面.不同点:1.圆柱有无数条高.2.圆锥只有一条高.3.圆锥有顶点.4.圆柱没有顶点.5.圆柱的侧面展开图是长方形.6.圆锥的侧面展开图是半圆.

郦枫淑894如图:一个圆锥内接与一个圆柱,他们的底面积半径都为r,高都为h,求圆柱与圆锥侧面积.(要过程)
蒲玉仪15144434673 ______ 圆柱:s=2πrh圆锥:s=πrh

郦枫淑894一个圆锥和一个圆柱体积相等,底面半径的比是5:3,则圆锥与圆柱的高的比是( )一个圆锥和一个圆柱体积相等,底面半径的比是5:3,则圆锥与圆柱的高的... -
蒲玉仪15144434673 ______[答案] V圆锥:V圆柱=π*R圆锥*R圆锥*H圆锥 ÷3:π*R圆柱*R圆柱*H圆柱=1:1 1:1=5*5*H圆锥 ÷3:3*3*H圆柱 1:1=(25/3)H圆锥:9H圆柱 H圆锥 :H圆柱=27:25

郦枫淑894圆柱和圆锥的相同点和不同点是什么? -
蒲玉仪15144434673 ______[答案] 答:圆柱与圆锥的相同点是:底面都是圆,都是立体图形 不同点是:形状不同 同底同高的圆柱的体积是圆锥的3倍. (根据圆柱与圆锥从平面图形以及立体图形角度去分析)

郦枫淑894思维训练:一圆柱体、一圆锥和一球体等高等宽.那它们的体积有什么关系? -
蒲玉仪15144434673 ______[答案] 圆柱表面积A=L*H+2*S=2π*R*H+2π*R^2,体积V=S*H=π*R^2*H (L--底面周长,H--柱高,S--底面面积,R--底面圆半径^2平方^3立方) 球体表面积A=4π*R^2,体积V=4/3π*R^3 (R-球体半径)