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

隗金彩1411小学六年级奥数(圆柱和圆锥) -
赫聪黄17296049545 ______ 分析:铅锤取出后,水面下降部分实际是圆锥的体积,求出圆锥的体积,转化为圆柱的体积,即可求出水面下降的高度. 解答:解:因为玻璃杯是圆柱形的,所以铅锤取出后,水面下降部分实际是圆锥的体积,这个 圆柱的底面与玻璃杯的底面一...

隗金彩1411小学六年级下册,圆锥的详细了解,面积,体积要解释 -
赫聪黄17296049545 ______ 圆锥,数学领域术语,有两种定义.解析几何定义:圆锥面和一个截它的平面(满足交线为圆)组成的空间几何图形叫圆锥.立体几何定义:以直角三角形的一条直角边所在直线为旋转轴,其余两边旋转形成的面所围成的旋转体叫做圆锥.该直...

隗金彩1411小学六年级数学圆柱和圆锥 -
赫聪黄17296049545 ______ 圆锥的体积 (120/2)*(120/2)*3.14*3=33912立方厘米 圆锥的高33912*3/(60/2)/(60/2)/3.14=36厘米

隗金彩1411六年级下册同步圆柱与圆锥
赫聪黄17296049545 ______ (3÷2)²*3.14+3*3.14*4.2 =2.25*3.14+9.42*4.2 =7.065+39.764 =46.829dm²

隗金彩1411小学六年级数学圆锥圆柱的推导公式是什么 -
赫聪黄17296049545 ______ 把圆柱拼组成一个近似的长方体,得到圆柱的体积等于底面积乘高,把圆锥体薄容器装满水导入与之等底等高的圆锥体容器,的到圆锥的体积等于等底等高的圆柱体积的三分之一.把圆柱沿高展开 ,得到圆柱的表面积等于底面周长乘高再加两个底面圆的面积.

隗金彩1411六年级下册人教版圆柱与圆锥备课,教案,课件 -
赫聪黄17296049545 ______[答案] 课 时 备 课 本学期总第 课时 本单元第1课时 授课日期 课题:圆柱的认识 课型:新授课 主备人:复备人: 教学目的:1、使学生认识圆柱的特征,能看懂圆柱的平面图. 2、认识圆柱侧面的展开图. 重点难点关键:掌握圆柱的特征 教具:长方体、正方...

隗金彩1411六年级下册数学圆柱.圆锥的全部公式.不要字的.只要字母 -
赫聪黄17296049545 ______ 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

隗金彩1411六年级下册数学圆柱.圆锥的全部公式 -
赫聪黄17296049545 ______ .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...

隗金彩1411六年级圆柱与圆锥的体积与表面积 -
赫聪黄17296049545 ______[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

隗金彩1411六年级下册数学圆柱和圆锥的公式不要字母!还要分数的运算要复杂的! -
赫聪黄17296049545 ______[答案] 圆柱体积=底面积X高=圆周率X底面半径的平方X高 圆柱表面积=上底面积+下底面积+侧面积=πXR的平方X2+2πRX高 圆锥体积=三分之一X底面积X高 圆锥面积=πX底面半径X母线长+底面积、 手动打的,分数的运算?