圆圆柱圆锥的所有公式
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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权雨武806求圆、圆锥、圆柱的计算公式要字母的圆、圆锥、圆柱的全部计算公式 -
包蔡朗15742101596 ______[答案] 假设园、圆锥、圆柱的半径是R,高度是H,那么: 园:周长=2πR 面积=πR^2 圆锥:表面积=1/2(l*r)=1/2(2π*R*r) (R为底面半径,r为圆锥半径) 体积=1/3*πR^2*H 圆柱:表面积=2πR*H+2πR^2 体积=πR^2*H
权雨武806圆柱,圆锥的体积公式是什么? -
包蔡朗15742101596 ______[答案] 您好,圆柱:底面积乘以高,圆锥:1/3底面积乘以高圆柱体积公式 v=πr²h 或 v=sh (v表示体积 π表示圆周率 r表示底面半径 s表示底面 积 h表示高)圆锥体积公式 v=1/3πr²h 或 v=1/3sh (v表示体积 π表示圆...
权雨武806圆柱、圆锥谁能给个公式我 -
包蔡朗15742101596 ______ 展开全部 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...
权雨武806圆柱,圆锥表面积公式是什么 -
包蔡朗15742101596 ______[答案] 圆柱:表面积=侧面积+2个底面积 侧面积=底面周长*高=3.14*直径*高=3.14*半径*2*高 底面积=3.14*半径*半径 圆锥:圆锥的侧面积=母线的平方*π*360百分之扇形的度数 圆锥的侧面积=1/2*母线长*底面周长 圆锥的侧面积=πRL(R为圆锥体底面圆的半径...
权雨武806求圆柱圆锥的所有公式公式注:格式全部为圆柱的底面积 = 圆周率 * 半径² S底 = π * r ² -
包蔡朗15742101596 ______[答案] 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 圆锥的侧面积=(圆周率*母线长*圆心角度数)÷180 圆锥的表面积=侧面积+底圆面积S直棱柱侧=ch (c...
权雨武806求圆柱和圆锥所有的公式 -
包蔡朗15742101596 ______ 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)
权雨武806圆锥,圆柱体表面积体积公式 -
包蔡朗15742101596 ______[答案] 表面积 圆柱体:S圆柱体侧面=2πr*h ↓ ↓ 上或下底的周长(2πr) 圆柱体的高(h) S圆柱体的表面积=S圆柱体侧面+πr的平方*2 ↓ 上底和下底的面积 (πr的平方*2) 圆锥体:S圆锥体表面积=S扇形+S下底面圆面积(扇形是圆锥侧面,圆锥高为圆锥尖...
权雨武806圆锥和圆柱的所有公式 -
包蔡朗15742101596 ______ 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 ...
权雨武806求圆、圆锥、圆柱的计算公式 -
包蔡朗15742101596 ______ 假设园、圆锥、圆柱的半径是R,高度是H,那么: 园:周长=2πR 面积=πR^2 圆锥:表面积=1/2(l*r)=1/2(2π*R*r) (R为底面半径,r为圆锥半径) 体积=1/3*πR^2*H 圆柱:表面积=2πR*H+2πR^2 体积=πR^2*H
权雨武806圆柱、圆锥、圆台、棱柱、棱台、棱锥、球、半球的体积和表面积!全汉字!只要公式! -
包蔡朗15742101596 ______[答案] 柱体体积V=Sh 台体V=1/3(S+S'+JSS')h 椎体V=1/3Sh 面积: 多面体:所有面面积总和(不需要记公式) 旋转体:只需要知道侧面展开是什么就可以,也不需要记公式 圆拄:侧面是矩形 圆锥:扇形(当三角形面积来算~) 圆台:扇环(当梯形面积...