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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刘备盛3664圆柱和圆锥分别由几个面组成顺便再说一下圆柱和圆锥的相同点与不同点. -
聂步骅13684271939 ______[答案] 圆柱是3面 圆锥是2面 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.

刘备盛3664上面一个圆锥,下面一个圆柱是什么图形? -
聂步骅13684271939 ______[答案] 当然就是一个由圆锥和圆柱构成的组合体了啊!化复杂为简单,这是思维方式之一.

刘备盛3664圆柱、圆锥谁能给个公式我 -
聂步骅13684271939 ______ 圆柱、圆锥谁能给个公式我?? 答: 1、圆柱: 圆柱的体积=S*H (*式中S为圆柱底面积*) =Pi*R^2*H (*式中R为圆柱底面半径*) 圆柱的侧面积=L*H (*式中L为圆柱底面周长*) =2*Pi*R*H (*式中R同上*) =Pi*D*H (*式中D为圆柱底面直...

刘备盛3664整理圆柱圆锥的公式 -
聂步骅13684271939 ______ V锥=3分之1SH,V柱=SH

刘备盛3664用一个平面去截一个圆柱,截面会是什么形状的图形 -
聂步骅13684271939 ______ 平行于水平面截的话,截面是圆形;垂直于水平面截的话,截面是长方形或者是正方形;斜着截的话,截面是椭圆形. 圆柱(circular cylinder)是由以矩形的一条边所在直线为旋转轴,其余三边绕该旋转轴旋转一周而形成的几何体.它有2个大...

刘备盛3664一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 ? -
聂步骅13684271939 ______ 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)

刘备盛3664圆柱和圆锥的知识有哪些 -
聂步骅13684271939 ______[答案] 1.圆锥的特征:由2个面围成,一个是底面,一个是曲面(展开后是一个扇形)只有一条高.2.圆柱的体积:公式的推导:利用转化的策略.把圆柱的底面平均分成16、32、64……无限分割,切开后拼成的物体越来越接近长方体.根...

刘备盛3664圆锥、圆柱体体积推导过程 -
聂步骅13684271939 ______ 你第二个公式的结果是错误的! V圆柱=Sh=πr*r*h=1/2C*r*h=1/2Crh V圆锥=1/3Sh=1/3*S*h=S*1/3*h=S*(1/3*h)=S(h÷3)

刘备盛3664一个圆柱和一个圆锥底面积和体积相等,已知圆锥的高是4.2cm,圆柱的高是( )cm? -
聂步骅13684271939 ______ 要求出高的关系. 柱高:锥高=(1÷1):(1x3÷1)=1:3 即锥高为三份,柱高为一份.4.2÷3=1.4(cm) 一个圆柱和一个圆锥底面积和体积相等,已知圆锥的高是4.2cm,圆柱的高是(1.4)cm

刘备盛3664一个圆柱在上面加一个圆锥是什么图形;一个圆柱在上面减一个倒着的圆锥是什么图形? -
聂步骅13684271939 ______[答案] 当然就是一个由圆锥和圆柱构成的组合体了啊!化复杂为简单,这是思维方式之一. 如果满意请点击右上角评价点【满意】即可~