小学数学圆锥公式大全
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
","gnid":"9cdea4e97775a4804","img_data":[{"flag":2,"img":[{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t014ef1fd4cfeddbcd5.jpg","width":"600"},{"desc":"","height":1837,"title":"","url":"https://p0.ssl.img.360kuai.com/t015f6882c433107fcf.jpg","width":1017},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t01ef964ec50583420d.jpg","width":"443"},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t019c67338cbee5e7a0.jpg","width":"600"},{"desc":"","height":"810","title":"","url":"https://p0.ssl.img.360kuai.com/t01cd0df185345e73b4.jpg","width":"1080"},{"desc":"","height":"608","title":"","url":"https://p0.ssl.img.360kuai.com/t01567177219798e2d6.jpg","width":"1080"},{"desc":"","height":"608","title":"","url":"https://p0.ssl.img.360kuai.com/t010f8d7fc99cfadbed.jpg","width":"1080"},{"desc":"","height":"810","title":"","url":"https://p0.ssl.img.360kuai.com/t017983d0ec6142c93d.jpg","width":"1080"},{"desc":"","height":"1280","title":"","url":"https://p0.ssl.img.360kuai.com/t0109143844d5f39a29.jpg","width":"959"},{"desc":"","height":"1279","title":"","url":"https://p0.ssl.img.360kuai.com/t01b6f44f3b4c7cb7af.jpg","width":"959"},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t010c1287b4d2fe5ec5.jpg","width":"600"},{"desc":"","height":"1080","title":"","url":"https://p0.ssl.img.360kuai.com/t01d4c16737536dce51.jpg","width":"1080"},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t0186d470b6eb7dcb56.jpg","width":"513"},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t019589412d32c09e3c.jpg","width":"600"},{"desc":"","height":"800","title":"","url":"https://p0.ssl.img.360kuai.com/t0146a102ea148c4bcb.jpg","width":"600"},{"desc":"","height":"1280","title":"","url":"https://p0.ssl.img.360kuai.com/t01561326c0519a4867.jpg","width":"960"},{"desc":"","height":"643","title":"","url":"https://p0.ssl.img.360kuai.com/t015ff7db0b5aadf68d.jpg","width":"800"},{"desc":"","height":"810","title":"","url":"https://p0.ssl.img.360kuai.com/t0195a6709858169d86.jpg","width":"1080"},{"desc":"","height":"810","title":"","url":"https://p0.ssl.img.360kuai.com/t0104873375f6d839ee.jpg","width":"1080"},{"desc":"","height":"813","title":"","url":"https://p0.ssl.img.360kuai.com/t014b9dbf7090f36f26.jpg","width":"1080"},{"desc":"","height":"602","title":"","url":"https://p0.ssl.img.360kuai.com/t01460693c28680b9f0.jpg","width":"800"},{"desc":"","height":"504","title":"","url":"https://p0.ssl.img.360kuai.com/t0179cb9033a19ba0b7.jpg","width":"800"},{"desc":"","height":"554","title":"","url":"https://p0.ssl.img.360kuai.com/t013881fb4d5a63dd0f.jpg","width":"800"},{"desc":"","height":"557","title":"","url":"https://p0.ssl.img.360kuai.com/t0185a7262c8869d5bd.jpg","width":"800"},{"desc":"","height":"570","title":"","url":"https://p0.ssl.img.360kuai.com/t0136db622720ca3224.jpg","width":"800"},{"desc":"","height":"571","title":"","url":"https://p0.ssl.img.360kuai.com/t017918621b30871258.jpg","width":"800"}]}],"original":0,"pat":"pdc,art_src_3,otherc,fts0,sts0","powerby":"pika","pub_time":1711421280000,"pure":"","rawurl":"http://zm.news.so.com/8607f70f5c83cffef4cf14c4798a9d91","redirect":0,"rptid":"700f989e6d6b1168","rss_ext":[],"s":"t","src":"渭南青年网","tag":[],"title":"渭南高新区第一小学六年级“玩转柱锥”数学实践作业展
武宽美1833圆锥体体积公式?
应雄苗18716109237 ______ 解:圆锥体积公式V=(1/3)Sh公式中S为圆锥底面面积,h为圆锥的高.圆锥底面为圆,则底面积 S=πr²,r--底面圆半径
武宽美1833求小学圆锥体所有公式~~ -
应雄苗18716109237 ______ V锥=1/3SH=1/3πR平方 S锥=2S底+S侧=2πR平方+CH 字母用惯了,希望你别介意
武宽美1833圆锥的公式 -
应雄苗18716109237 ______ 面积公式:圆锥侧面展开图 S侧=πrl=(nπl^2)/360公式说明:r=半径 l=母线 π=圆周率表面积=底面积+侧面积=π·r²+½·2πr·l=π·r²+πrl=πr·(l+r)奇妙的圆锥:一个圆锥所占空间的大小,叫做这个圆锥的体积. 一个圆锥的体积等于与它等底等高的圆柱的体积的1/3根据圆柱体积公式V=Sh/3(V=πr2*h),得出圆锥体积公式V=1/3Sh[2] S是圆锥的底面积,h是圆锥的高,r是圆锥的底面半径.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)
武宽美1833圆锥的面积公式是什么 -
应雄苗18716109237 ______ 圆锥的面积公式: 注:r:底面半径,l:圆锥母线 一个圆锥表面的面积叫做这个圆锥的表面积. 圆锥的表面积由侧面积和底面积两部分组成,全面积(S)=S侧+S底. 圆锥是一种几何图形,有两种定义.解析几何定义:圆锥面和一个截它的...
武宽美1833小学公式大全数学最新最全
应雄苗18716109237 ______ 小学数学几何形体周长 面积 体积计算公式长方形的周长=(长 宽)*2 C=(a b)*2正方形的周长=边长*4 C=4a长方形的面积=长*宽 S=ab正方形的面积=边长*边长 S=a.a= a...
武宽美1833七年级年级数学算圆柱圆锥体积的公式分别是什么 -
应雄苗18716109237 ______[答案] 圆柱的体积=底面积*高 圆 锥的体积 =1/3*底面积*高.
武宽美1833苏教版六年级下册数学圆锥与圆柱的公式与知识 -
应雄苗18716109237 ______[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...
武宽美1833小学生易懂的圆锥表面积公式详细解答 -
应雄苗18716109237 ______ 把圆锥侧面按一条母线剪开,可以发现得到的图形是扇形,其中扇形的半径就是母线长L,扇形的弧长就是圆锥的底面周长.如果底面半径为R,则底面周长=2πR.展开后扇形所在的大圆周长=2πL.所以扇形弧长占大圆弧长的(2πR)/(2πL)=...
武宽美1833小学知识忘光了,求圆锥体积公式 -
应雄苗18716109237 ______ 展开全部 圆锥体积公式=1/3*底面积*高 1/3πr²(3x+6)
武宽美1833苏教版六年级下册数学圆锥与圆柱的公式与知识 -
应雄苗18716109237 ______ 圆锥体积=底面积*高*1/3=半径的平方*3.14*高*1/3 圆锥体的表面积=高*底面周长+底面积bai 圆锥的侧面积=母线的平方*π*360百分之扇形的度数 du 圆锥的侧面积=1/2*母线长*底面周长 圆锥的侧面积=高的平方*3.14*百分之扇形的度数 圆锥的表...