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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梅肤封1115圆锥侧面积公式推导图解(圆锥侧面积公式推导)
毛滢婷15272458324 ______ 1、可以这样解释的,把圆锥的侧面沿着它的一条母线(我们把圆锥的顶点与底面圆周上任一点的连线叫做圆锥的母线,这个知道?)展开成平面图形.2、其展开图是一个扇形(展开后扇形的半径就是圆锥的母线,扇形的弧长就是圆锥的底面周长)我们知道,扇形的面积公式是:S=1/2lr 即:扇形面积等于二分之一的弧长乘半径.3、就拿这个图来说吧,OA为半径r,所以扇形的弧长就等于2πr,SA为半径l.4、所以扇形的面积S=1/2·2πr·l=πrl 即:圆锥的侧面积S=πrl,它是我们计算圆锥侧面积的一个重要公式,一定要记牢.

梅肤封1115圆锥侧面积公式是什么 -
毛滢婷15272458324 ______ 圆锥的侧面展开图即为一扇形,扇形面积计算公式:S=1/2LR(其中R:扇形的半径 L:扇形的弧长) 在圆锥中R即为母线长,L是底面园的周长2πr 所以圆锥侧面积计算公式:S=πrR(图示)

梅肤封1115圆锥侧面积计算公式非诚勿扰 -
毛滢婷15272458324 ______[答案] 圆锥的侧面展开是扇形,所以根据扇形的面积计算公式得到圆锥侧面积=πLR (L是圆锥的侧长,R是圆锥半径)

梅肤封1115圆锥侧面展开图面积周长推导公式,详细,拜托各位学霸了,谢过! -
毛滢婷15272458324 ______ ^设圆锥底面半径r,高h: 则底面=2πr 母线长=√(h^2+r^2) 侧面展开为弧长L=2πr,半径R=√(h^2+r^2)的扇形 展开扇形的圆心角θ=L/R=2πr/√(h^2+r^2)弧度 侧面积=1/2R^2θ=1/2*(h^2+r^2)*2πr/√(h^2+r^2) = πr√(h^2+r^2) 同学你好,希望答案对你有所帮助,请予以好评和右上角的采纳. 祝你生活学习愉快,谢谢!!!

梅肤封1115圆锥的侧面积公式初中(圆锥的侧面积公式图解)
毛滢婷15272458324 ______ 1、圆锥的侧面积 就是把圆锥折开,得到的一个类似三角形的扇形,所以就把求圆锥的侧面积当求三角形一样的算法扇形面积=1/2*半径*弧长 对应的这里的半径就是圆锥的母线长l.2、弧长就是地面圆的半径r.于是 圆锥侧面积=1/2*l*2pi*r=pirl .

梅肤封1115圆锥 侧面积公式 表面积公式 -
毛滢婷15272458324 ______[答案] 表面积公式S表=S底面积+S侧面积 圆锥的侧面积展开后是一个扇形,所以: S侧面积=πrl r是底面半径 ,l是母线长

梅肤封1115圆锥的公式.(侧面积和母线的一定要有.) -
毛滢婷15272458324 ______[答案] 表面积:S=πR^2(n/360)+πr^2或(1/2)αR^2+πr^2(此n为角度制,α为弧度制,α=π(n/180) 圆锥的侧面积=1/2*母线长*圆锥底面的周长=π*圆锥底面半径*母线长. 圆锥侧面展开图 圆锥的表面积=底面积+侧面积 S=πr^2+πra (注a=母线) 圆锥的体积=1/3...

梅肤封1115圆锥的侧面积公式
毛滢婷15272458324 ______ 1/3*底面积*高

梅肤封1115圆锥的侧面积公式的推导过程,给图给分 -
毛滢婷15272458324 ______[答案] 设底面直径为d,侧线为L 圆锥侧面展开为扇形,扇形半径为侧线L 扇形面积=弧长/周长*圆面积 弧长为底面的周长 所以S侧=πd/(2πL)*πL²=πdL/2=πrL

梅肤封1115圆锥形侧面积和全面积计算公式是什么
毛滢婷15272458324 ______ 圆锥的侧面积公式是 S=pi* r l (r是半径,l 是母线长) 求母线长l 可用 l = (h是圆锥的高)求得. 先测量一些量,需要测的量有:底面圆的半径R 母线长度(母线就是圆锥侧表面从顶点到底部边缘的线)L 先计算底面积为:派*R2 底面周长为:2*派R 所以侧面面积为:(2*派R/2*派L)*派L2 化简得:派*RL 所以整个圆锥的面积为:派*R2+派*RL (R2是R的平方的意思,那个符号不好打)放心,这个公式绝对正确,推导过程都给你了,自己看看一定看得懂.