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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牧杰逃661思考!圆锥的侧面展开图是什么图形?如何计算圆锥的侧面积?如何计算圆锥的全面积?数学书113页圆锥的侧面展开图是1个扇形.设圆锥的母线长l.底面... -
厉刘秆17650938448 ______[答案] 圆锥的侧面展开图是扇形.要想计算计算圆锥的侧面积需要知道圆锥的体面周长和母线长,利用母线长与底面周长的积的就是它的侧面积,圆锥的全面积就是它的底面积再加上它的侧面积.如果知道了圆锥的半径和高,或者说知道圆锥底面的一些条件...

牧杰逃661圆锥的展开图是什么? -
厉刘秆17650938448 ______ 圆锥和圆锥的展开放样 如下就是了 你也可下来白用的

牧杰逃661圆锥的上半圆直径是300mm,下半圆的直径是600mm.圆锥的高度是150mm 我想知道这个圆锥的展开图怎么画?赐教 -
厉刘秆17650938448 ______[答案] 如果是圆锥展开是扇形,首先画以半径为150mm画圆且弧长为600π. 如果是圆台展开是也扇形,同样画以半径为150mm画圆且弧长为600π,再画以半径75画圆且弧长为300π.

牧杰逃661已知一个圆锥的展开图如图所示,其中扇形的圆心角为120°,底面圆的半径为1,则该圆锥的体积为______. -
厉刘秆17650938448 ______[答案] 因为扇形弧长为2π,所以圆锥母线长为3,高为2 2, 所求体积V= 1 3*π*12*2 2= 22π 3. 故答案为: 22π 3

牧杰逃661下面是一个圆锥体的展开图,你能求出他的测面积和底面半径,写详细点 -
厉刘秆17650938448 ______ 看不见图,不过可以说一下:圆锥体的展开图是扇形,已知扇形角度及展开扇形半径可求出扇形面积(即圆锥体侧面积).圆锥体侧面积=(扇形角度/360)·π·R2 圆锥底面半径=r=扇形弧长÷π÷2 扇形弧长=(扇形角度/360)·π·2R 圆锥底面积=πr2

牧杰逃661圆锥的展开图是一个半径为12cm的半圆,求圆锥的体积 -
厉刘秆17650938448 ______[答案] 由题意: 圆锥母线=12厘米 圆锥半径=12÷(360°÷180°)=12÷2=6厘米 圆锥高=√12²-6²=6√3厘米 圆锥体积 =3分之1*π*6*6*6√3 =72π√3 立方厘米

牧杰逃661圆锥体的曲面展开图,除了扇形外,还有什么形状? -
厉刘秆17650938448 ______[答案] 你的圆锥体是不是正体?就是底面是正圆的一种,底面是椭圆的一种,底面是马鞍形的还有一种.还有的圆锥体下面渐变成了近乎方形,这些的展图都是不太规则的,你用纸做一个再展开看一下吧,这里画图太不方便.这些形状在实际生活中都是有的. ...

牧杰逃661圆锥的侧面展开图是什么,圆锥底面圆的周长与侧面展开图的什么相等 -
厉刘秆17650938448 ______[答案] 亲~ 圆锥的侧面展开图是扇形图 圆锥底面圆的周长与侧面展开图的弧长相等. 求采纳···

牧杰逃661圆锥台的展开图怎么画?方法最好详细点的, -
厉刘秆17650938448 ______[答案] 先画出圆锥台的投影,令大圆直径为AB小圆直径为CD,连接AC和BD延长线交于O.以O为圆心OA为半径画弧线,再以O为圆心OC为半径画弧线.以A点为起点AB为直径在大弧线上截取三段.再以C点为起点CD为半径在小弧线上截取三段最后连接截取...

牧杰逃661圆柱和圆锥的侧面积展开图分别是什?圆柱和圆锥的侧面积展开图分别是
厉刘秆17650938448 ______ 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,