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":"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

勾芝媛2290一个圆锥与一个圆柱等底等高,圆锥的体积是圆柱的( );圆柱的体积是圆锥的( ) -
赖斩鹏17331388227 ______ 您好: 一个圆锥与一个圆柱等底等高,圆锥的体积是圆柱的(1/3 );圆柱的体积是圆锥的(3倍)不明白,可以追问如有帮助,记...

勾芝媛2290一个圆柱和一个圆锥的体积相等 底面积也相等,那么圆柱的高是圆锥的( ) -
赖斩鹏17331388227 ______ 您好:一个圆柱和一个圆锥的体积相等,高野相等,那么圆柱与圆锥的底面积的比是( 1):(3 ) 一个圆柱和一个圆锥的体积相等,高也相等 所以圆柱底面积是圆锥的3分之1 所以是1:3 很高兴为您解答,祝你学习进步!【学习宝典】团队为您答题.有不明白的可以追问!如果您认可我的回答.请点击下面的【选为满意回答】按钮,谢谢!如果有其他需要帮助的题目,您可以求助我.谢谢!!这样可以么?

勾芝媛2290判断:一个圆柱与一个圆锥,它们的底面积和体积都相等,那么圆锥的高是圆柱的三分之一.() -
赖斩鹏17331388227 ______ 已知 圆柱体积∏R²H=圆椎体积⅓∏r²h,且知底面积∏R²=∏r²; 所以 H=⅓h h/H=3;判断错误. 圆椎高是圆柱高的3倍.

勾芝媛2290一个圆柱与一个圆锥的体积和高分别相等,已知圆柱底面周长是6.28dm,求圆锥的底面积 -
赖斩鹏17331388227 ______ 等底等高的圆柱和圆锥,圆锥体积是圆柱的 1/3 ;当前的圆柱和圆锥,体积相等,高也相等,那么,圆锥的底面积就是圆柱的 3 倍;圆柱的底面周长是 6.28 分米,圆柱的底面直径就是 2 分米;圆柱的底面半径就是 1 分米,圆柱的底面积就是 3.14 平方分米;这样,圆锥的底面积就是 9.42 平方分米.

勾芝媛2290圆柱和圆锥等体积等高,圆柱底面积是圆锥底面积的( ),圆锥底面积是圆柱底面积的( ) -
赖斩鹏17331388227 ______ 圆柱与圆锥等体积等高,圆柱的底面积是圆锥的底面积的(1/3), 圆锥的底面积是圆柱的底面积的(3)倍. 请采纳 请点击右下角是[采纳答案] 谢谢

勾芝媛2290一个圆柱和一个圆锥等底等高,它们的体积和是24立方分米,那么圆柱的体积是 - -----立方分米 -
赖斩鹏17331388227 ______ 因为等底等高的圆柱的体积与圆锥的体积之比是3:1,3+1=4,所以圆柱的体积是:24*3 4 =18(立方分米),答:圆锥的体积是6立方分米,圆柱的体积是18立方分米. 故答案为:18.

勾芝媛2290小学六年数学 1、一个圆柱和一个圆锥等低等高,体积相差6.28立方分米.圆柱和圆锥的体积各是多少? -
赖斩鹏17331388227 ______ 1、圆柱的体积:6.28÷2*3=9.42立方分米,圆锥的体积:6.28÷2=3.14立方分米2、圆柱的高是:4.8*2=9.6厘米3、20÷2=10厘米(容器的半径)3.14*10*10=314平方厘米(底面积) 314*0.3=94.2立方厘米(圆锥形铁块的体积)94.2*3÷(3.14*3*3)=10厘米(圆锥的高)4、3.14*6*6*10÷3=376.8立方厘米(体积),376.8÷(3.14*5*5)=4.8厘米(水面的高)5、6÷2=3分米(底面半径),3.14*3*3*6÷3=56.52立方厘米(圆锥的体积) 6*6*6=216立方厘米(正方体的体积)216-56.52=159.48立方厘米(所剩下的体积).

勾芝媛2290一个圆柱和一个圆锥的体积相等,它们的底面积及高可能是( ) A.底面积相等,圆柱高是圆锥高的 -
赖斩鹏17331388227 ______ A:底面积相等为S,设圆柱的高是1,则圆锥的高就是3,据此可得:,圆柱的体积是S*1=S;圆锥的体积是 1 3 *S*3=S;满足条件,符合题意;B:高相等是h,设圆柱的底面积是1,则圆锥的底面积是3,圆柱的体积是h*1=h;圆锥的体积是 ...

勾芝媛2290一个圆柱与一个圆锥等体积等高,圆柱的底面积是圆锥的( ) -
赖斩鹏17331388227 ______ 等高等体积时,圆柱底面积=3分之1*圆锥底面积 所以:圆柱的底面积是圆锥的3分之1 很高兴为您解答,祝你学习进步!如果我的回答对你有帮助,请及时选为满意答案,谢谢~~

勾芝媛2290(2013?佛山)并排放置的等底等高的圆锥和圆柱(如图)的主视图?
赖斩鹏17331388227 ______ 圆锥的左视图是三角形,圆柱的左视图是长方形,故选:B.