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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昌使彭2823把一个圆锥沿着高切开,得到两个如下图所示的物体,截面的面积是24?
董维宽15147272553 ______ 根据把一个圆锥沿着高切开,得到两个如下图所示的物体,可以知道得到的截面是两个等腰三角形,他的高=圆锥的高,底=直径,因此: 半径:24*2/6/2=4dm 4*4*3.14*6/3 =50.24*2 =100.48

昌使彭2823把一个圆锥沿着高切开,得到两个如下图所示的物体. -
董维宽15147272553 ______ 1/2*直径*高=101/2*直径*5=10 直径=4厘米 半径=2厘米 底面积=3.14*2²=12,56平方厘米 体积=1/3*12.56*5=20.93立方厘米

昌使彭2823圆锥切面图形 -
董维宽15147272553 ______ 切面过顶点就是个三角形不过顶点(不论是斜切还是竖切)就是一个抛物线(不加底面的那条线)加底面的那条线的话就是一个抛物线与一条线段所围成的一个封闭图形其他关于圆锥曲线的补充圆锥曲线分别有抛物线 双曲线 和椭圆具体有1. 椭...

昌使彭2823把一个圆锥沿着高切开,得到两个如下图所示的物体,截面的面积是18平方厘米.如果原来的高是6厘米,它 -
董维宽15147272553 ______ 把一个圆锥沿着高切开,得到两个如下图所示的物体,截面的面积是18平方厘米.如果原来的高是6厘米,它的底面积是多少平方厘米?体积是多少立方厘米?半径18÷6÷2=1.5厘米底面积3.14*1.5²=7.065平方厘米体积3.14*1.5²*6=42.39立方厘米

昌使彭2823沿圆锥底面直径和高把圆锥切成俩部分,切面是一个什么图形,如果圆锥的底面直径和高都是4厘米那么这个切面积是 -
董维宽15147272553 ______[答案] 沿圆锥底面直径和高把圆锥切成俩部分,切面是一个等腰三角形. 如果圆锥的底面直径和高都是4厘米那么这个切面面积是 4*4/2=8

昌使彭2823把一个圆锥沿着高切开,得到两个如下图所示的物体.截面的面积是10平方厘米.如果原来圆锥的高是5厘米,它的底面积是多少?体积是多少立方厘米?要过程... -
董维宽15147272553 ______[答案] 1/2*直径*高=10 1/2*直径*5=10 直径=4厘米 半径=2厘米 底面积=3.14*2²=12,56平方厘米 体积=1/3*12.56*5=20.93立方厘米

昌使彭2823沿着圆锥形零件的高把圆锥切开,零件的竖截面正好是一个底和高均为6厘米的三角形.这个圆锥形的体积是? -
董维宽15147272553 ______[答案] 沿着圆锥形零件的高把圆锥切开,零件的竖截面是一个底是圆锥底面直径,高是圆锥高的三角形 圆锥的底面半径是 6÷2=3(厘米) 圆锥的体积是 3*3*3.14*6*3分之1=56.52(立方厘米)

昌使彭2823将圆锥沿着它的高平均切成两半,截面是一个等腰三角形.______. -
董维宽15147272553 ______[答案] 根据圆锥的定义,将圆锥沿着它的高平均切成两半,截面是一个等腰三角形.此说法正确. 故答案为:正确.

昌使彭2823把一个圆锥沿着高切开,得到两个切割面,截面的面积是10平方厘米.如果原来圆锥的告示5厘米,求它的底面积 -
董维宽15147272553 ______[答案] 圆锥沿着高切开,得到的切割面是等腰三角形, 它的底就是底面直径, 所以2r*h/2=10 所以r=2 则底面积S=πr²=4π=12.56(平方厘米)

昌使彭2823把一个圆锥沿着高切开,得到两个如下图所示的物体,截面的面积是10平方厘米,如果原来圆锥的高是5厘米,它的体积是多少立方厘米?注1,此圆锥是被切... -
董维宽15147272553 ______[答案] 我先说10/5*2说的是什么,三角形的面积是底乘以高除以2得到,那么逆向思维的就过就是知道面积和高了,求底边长,圆锥的高就是三角形的高;圆锥底面的半径就是三角形的底边,由此,算出底边后,求半径,求底面面积,再用求圆锥体积的公...