圆柱与圆锥知识点思维导图
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。
![](https://p0.ssl.img.360kuai.com/t014ef1fd4cfeddbcd5.jpg)
![](https://p0.ssl.img.360kuai.com/t010a01845e4f84b4e0.jpg)
![](https://p0.ssl.img.360kuai.com/t01ef964ec50583420d.jpg)
![](https://p0.ssl.img.360kuai.com/t019c67338cbee5e7a0.jpg)
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。
![](https://p0.ssl.img.360kuai.com/t01cd0df185345e73b4.jpg)
![](https://p0.ssl.img.360kuai.com/t01567177219798e2d6.jpg)
![](https://p0.ssl.img.360kuai.com/t010f8d7fc99cfadbed.jpg)
![](https://p0.ssl.img.360kuai.com/t017983d0ec6142c93d.jpg)
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”。
![](https://p0.ssl.img.360kuai.com/t0109143844d5f39a29.jpg)
![](https://p0.ssl.img.360kuai.com/t01b6f44f3b4c7cb7af.jpg)
![](https://p0.ssl.img.360kuai.com/t010c1287b4d2fe5ec5.jpg)
![](https://p0.ssl.img.360kuai.com/t01d4c16737536dce51.jpg)
![](https://p0.ssl.img.360kuai.com/t0186d470b6eb7dcb56.jpg)
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。
![](https://p0.ssl.img.360kuai.com/t019589412d32c09e3c.jpg)
![](https://p0.ssl.img.360kuai.com/t0146a102ea148c4bcb.jpg)
![](https://p0.ssl.img.360kuai.com/t01561326c0519a4867.jpg)
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。
![](https://p0.ssl.img.360kuai.com/t015ff7db0b5aadf68d.jpg)
![](https://p0.ssl.img.360kuai.com/t0195a6709858169d86.jpg)
![](https://p0.ssl.img.360kuai.com/t0104873375f6d839ee.jpg)
![](https://p0.ssl.img.360kuai.com/t014b9dbf7090f36f26.jpg)
![](https://p0.ssl.img.360kuai.com/t01460693c28680b9f0.jpg)
![](https://p0.ssl.img.360kuai.com/t0179cb9033a19ba0b7.jpg)
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。
![](https://p0.ssl.img.360kuai.com/t013881fb4d5a63dd0f.jpg)
![](https://p0.ssl.img.360kuai.com/t0185a7262c8869d5bd.jpg)
![](https://p0.ssl.img.360kuai.com/t0136db622720ca3224.jpg)
![](https://p0.ssl.img.360kuai.com/t017918621b30871258.jpg)
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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别哗怨863圆柱和圆锥各有那些特征?如何计算圆柱的表面和体积以及圆锥的体积?圆柱与圆锥有怎样的联系与区别? -
红柔璐13291324662 ______ 一、圆柱的侧面积=底面周长*高 二、圆柱的表面积=侧面积+底面积*2 三、圆柱的体积=底面积*高 四、圆锥的体积=1/3*底面积*高
别哗怨863苏教版六年级下册数学圆锥与圆柱的公式与知识 -
红柔璐13291324662 ______[答案] 圆柱的高用h表示,底面周长用c表示,底面积用s表示,体积用v表示: s侧=ch s表=s侧+2s底 v=sh 圆锥的高用h表示,底面积用s表示,体积用v表示:v=sh/3 (三)圆柱 1、圆柱的认识 . 圆柱的上下两个面叫做底面.圆柱有一个曲面叫做侧面.圆柱两个...
别哗怨863圆柱和圆锥有什么不同点??有什么相同点?? -
红柔璐13291324662 ______ 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,正截面...
别哗怨863数学日记,关于圆柱和圆锥的 -
红柔璐13291324662 ______ 在形体王国里,居住着许多的公民,“立体图形小区”里就住着正方形和长方形等图形.今天就来认识一下圆锥和圆柱体两兄妹吧!(以下简称圆柱、圆锥) 圆柱哥哥是我们日常生活中最常见的立体图形.如茶叶桶、易拉罐等物品的形状就是...
别哗怨863六年级圆柱与圆锥 -
红柔璐13291324662 ______ 一段圆柱木头,把它成一个最大的圆锥,削去的部分是原来体积的( 2/3 ),是圆锥体积的( 2倍 )
别哗怨863有关圆柱和圆锥的体积推导公式的过程 -
红柔璐13291324662 ______ 圆柱,把圆柱体平均分成诺干等分再拼成一个近似的长方体,再用长方体的体积公式底面积成高也就是圆柱的体积.圆锥,把它看做与它等底等高等圆柱体,而这个圆锥的体积就是这个与他等底等高的圆柱体积的3分之1
别哗怨863圆柱与圆锥之间的关系.ppt -
红柔璐13291324662 ______ 对于等底等高的圆柱和圆锥,圆柱的体积是圆锥体积的3倍.jingrui Tr
别哗怨863圆柱和圆锥 -
红柔璐13291324662 ______ 圆柱的侧面积=底面圆的周长*高 圆柱的表面积=上下底面面积+侧面积 圆柱的体积=底面积*高 圆锥的体积=底面积*高÷3 用公式是求不出来的, 找2个同底同高的圆锥和圆柱 往圆锥中填满沙子,将沙子倒入圆柱,会发现只占圆柱体积的1/3, 就是...
别哗怨863圆柱与圆锥的相同点与不同点是什么? -
红柔璐13291324662 ______ 正截面也是三角形,圆柱体的上底面缩成一点就变成圆锥了. 圆柱:电线杆,香烟,且上下底面相等. 圆锥侧面展开图是扇形: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):底面都是圆形 圆柱和圆锥不同点圆柱和圆锥共同点
别哗怨863圆柱和圆锥的表面积和周长. -
红柔璐13291324662 ______ 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.