小学数学圆柱圆锥公式
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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家锦胃3894苏教版六年级下册数学圆锥与圆柱的公式与知识 -
太衬狮17155377128 ______ 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...
家锦胃3894七年级年级数学算圆柱圆锥体积的公式分别是什么 -
太衬狮17155377128 ______[答案] 圆柱的体积=底面积*高 圆 锥的体积 =1/3*底面积*高.
家锦胃3894六年级下册数学圆柱.圆锥的全部公式 -
太衬狮17155377128 ______ .圆柱的侧面积=底面圆周长*高 字母表示:S侧=C底h 2.底面圆周长=圆周率*直径=圆周率*2*半径 字母表示:C底=πd=2πr 3.求圆柱的表面积三步: (1)圆柱的底面积=S底=πr²=π(d÷2)²=πd²÷4 (2)圆柱侧面积=S侧=h*C底(底面圆周长)=2πrh...
家锦胃3894六年级下册数学圆柱.圆锥的全部公式.不要字的.只要字母 -
太衬狮17155377128 ______ S侧=ch=πdh=2πrh 知道半径求周长: 周长=2π*半径 c=2πr=6.28r 知道直径求周: 周长=3.14*直径 c=3.14*d=3.14 d 知道周长求半径: 半径=周长÷6.28 r=c÷6.28 圆柱的高=侧面积÷底面周长 h=s底÷c 圆柱的表面积=圆柱侧面积+两个底面积 (进一法) S表=s侧+2s圆 V=sh V=πr²h V=π(d÷2)²h V=π(c÷π÷2)²h S底= V柱÷h 圆柱的高=圆柱的体积÷底面积 h = V÷S底
家锦胃3894数学圆锥 圆柱 的公式???? -
太衬狮17155377128 ______ 圆柱体积:V=底面积*高或V=1/2侧面积*高 圆锥体积:V=底面积*高÷3 圆柱侧面积:S侧=底面周长*高 圆柱表面积:S表=侧面积+2个底面积 字母表示: 圆柱体积: V=sh 圆锥体积:V=sh÷3 圆柱侧面积:S=ch/2πrh/πdh 圆柱表面积:s=ch+2πr² ...
家锦胃3894求圆柱和圆锥所有的公式 -
太衬狮17155377128 ______ 圆柱的体积公式V=Sh=πr^2h 表面积公式S=2πr^2+2πrh 圆锥的体积公式V=Sh=1/3πr^2h 表面积公式S=πr^2+πrl(l是母线)
家锦胃3894圆柱体和圆锥体的所有公式!求都是什么 -
太衬狮17155377128 ______[答案] 圆柱:面积=2*π*R^2+2*π*R*d(圆柱的高) 体积=π*R^2*d圆锥:面积=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)前面的r是扇形的半径,后面的r是底面圆的半径. 体积=π*R...
家锦胃3894圆柱圆锥的公式
太衬狮17155377128 ______ 圆锥:体积=底面积X高/3 圆柱:侧面积=底面周长X高 表面积=侧面积+底面积X2 体积=底面积X高
家锦胃3894圆柱、圆锥 公式 -
太衬狮17155377128 ______ 圆柱体积公式:底面积 * 高 表面积公式:两个底面积+侧面积 侧面积=底面周长 * 高 圆锥体积公式:底面积* 高 * 三分之一 字母:V=1/3 s h
家锦胃3894圆柱体和圆锥的公式 -
太衬狮17155377128 ______ 直径:半径乘2 圆柱的表面积:半径的平方乘3.14乘2+直径乘3.14乘高 圆柱的体积:半径的平方乘3.14乘高 底面周长:直径乘3.14 周长求半径:周长除以3.14除以2(圆锥也一样) 半径求周长:半径乘2乘3.14(圆锥也一样) 圆柱体积求周长:体积除以高,然后除以3.14除以2 圆锥体积求周长:体积乘2除以高,然后除以3.14除以2 圆锥体积:半径的平方乘3.14乘高除以3 一楼的都是字母公式,有点麻烦,我简化了一下. 请问你问这些干嘛呀?