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

","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":"cache","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

梁逃柄3278数学:5个侧面积公式直棱柱侧面积、圆柱侧面积、圆锥侧面积、圆台侧面积、球侧面积 -
谈录柄18113653679 ______[答案] 1.圆柱: 2πR*h 2.圆锥的侧面积公式是 S= 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) 3.圆台的侧面积 设圆台的上、下底面半径分别为:r、R,母线长为l 圆台的侧面展开图是环形的一部分 大弧长为:2πR,小弧长为:2πr,设小扇形的...

梁逃柄3278六年级的所有计算公式 -
谈录柄18113653679 ______ 三角形的面积=底*高÷2.公式 S= a*h÷2 正方形的面积=边长*边长 公式 S= a*a 长方形的面积=长*宽 公式 S= a*b 平行四边形的面积=底*高 公式 S= a*h 梯形的面积=(上底+下底)*高÷2 公式 S=(a+b)h÷2 内角和:三角形的内角和=180度.长方...

梁逃柄3278数学圆锥 圆柱 的公式???? -
谈录柄18113653679 ______ 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 ...

梁逃柄3278谁帮我整理一下6年级学的圆柱圆锥的所有公式?好的加悬赏. -
谈录柄18113653679 ______ 圆柱的侧面积=底面周长X高 =dX兀Xh 圆柱的表面积=两个底面积(圆)+一个侧面积 =r^2X兀X2+dX兀Xh 圆柱的体积=底面积X高 =r^2X兀Xh 圆锥的体积=底面积X高X1/3 =r^2X兀x1/3

梁逃柄3278数学六年级圆柱与圆锥的所有公式,最好有文字和字母的. -
谈录柄18113653679 ______ 圆柱表面积=底面积X2 侧面积=2兀r² 2兀rh 圆柱体积=底面积X高=兀r²h 圆锥体积=1/3x底面积x高=1/3兀r²h

梁逃柄3278苏教版六年级下册数学圆锥与圆柱的公式与知识 -
谈录柄18113653679 ______[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...

梁逃柄3278圆柱和圆锥的体积公式6年级 -
谈录柄18113653679 ______ 圆柱的体积=底面积乘以高=πr²h. 圆锥的体积=底面积乘以高除以3=πr²h/3. 请点击右下角的 [采纳答案] 谢谢

梁逃柄3278六年级圆柱与圆锥的体积与表面积 -
谈录柄18113653679 ______[答案] “^2”为平方 V圆柱=S*h=(πr^2)*h S圆柱=2πr^2+2πrh V圆锥=1/3*S*h=1/3*(πr^2)*h R为圆锥侧面扇形半径,r为底面圆半径,n为扇形角度 n/360°*2πR=2πr n=r/R*360° S扇形=n/360°*πR^2=πrR S圆锥=πrR+πr^2

梁逃柄3278六年级下册数学的圆柱和圆锥的体积怎么算? -
谈录柄18113653679 ______ 圆柱的体积公式为半径的平方乘以兀乘高 圆锥的体积公式为半径的平方乘以兀乘高除以2

梁逃柄3278六年级数学公式、概念总结 -
谈录柄18113653679 ______ ---公式定义 三角形的面积=底*高÷2. 公式 S= a*h÷2 正方形的面积=边长*边长 公式 S= a*a 长方形的面积=长*宽 公式 S= a*b 平行四边形的面积=底*高 公式 S= a*h 梯形的面积=(上底+下底)*高÷2 公式 S=(a+b)h÷2 内角和:三角形的内角和...