圆柱圆锥知识点思维导图
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":"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
查性软2983圆柱与圆锥的相关知识 -
酆帖光19877139637 ______ 圆锥的侧面积公式=πRL、全面积公式=πRL+πR^2 圆柱的侧面积公式=CL,(就是地面周长*高)
查性软2983整理小学六年级下册的圆柱和圆锥这方面的知识.(要把重点写下来!) -
酆帖光19877139637 ______[答案] 圆柱的侧面积=底面周长*高 圆柱的表面积=侧面积+底面积*2 圆柱的体积=底面积*高 圆锥的侧面积=高的平方*3.14*百分之扇形的度数 圆锥的表面积=底面积+侧面积 圆锥的体积=1/3*底面积*高 S侧=CH S表=S侧+2S底 V柱=SH S锥侧=H的平方*3.14*百...
查性软2983圆柱圆锥知识点 -
酆帖光19877139637 ______ V圆柱=3.14*R*R*H V圆锥=1/3*3.14*R*R*H 圆柱侧面积=CH或者2*3.14*h或者3.14*d*h
查性软2983小学6年级数学关于圆柱与圆锥的知识 -
酆帖光19877139637 ______ 圆锥的底面圆的半径是18.84÷2÷3.14=3米 圆锥的底面积是3.14*3²=28.26平方米 圆锥的体积是1/3*28.26*6=56.52立方米
查性软2983关于圆柱和圆锥的急求关于圆柱和圆锥的数学日记关于圆柱和圆锥的b
酆帖光19877139637 ______ 在形体王国里,居住着许多的公民,“立体图形小区”里就住着正方形和长方形等图形.今天就来认识一下圆锥和圆柱体两兄妹吧!(以下简称圆柱、圆锥)圆柱哥哥是我...
查性软2983小学数学六年级下册第二单元圆柱和圆锥的温故(以前学过的相关知识)知新(本单元的新知识). -
酆帖光19877139637 ______ 本单元的主要内容有:圆柱和圆锥的认识,圆柱的表面积,圆柱的体积和圆锥的体积. 圆柱、圆锥是人们在生产、生活中经常遇到的几何形体,教学这一部分内容,有利于发展学生的空间观念,为进一步应用几何知识解决实际问题打下基础. ...
查性软2983思维导图,知识结构图,知识点总结优化记忆法······理科,人教A版教材,2004年初审,2013应届生,内容包括必修一,必修二,必修三,必修... -
酆帖光19877139637 ______[答案] 借别人的思维导图来看作用甚微的.1.每个人制作的思维导图往往有自己的风格,他可以根据自己的需要选择什么画进去,什么不画进去,也就是说人家的思维导图往往是不适合你的,甚至你基本都看不懂.2.你可能以为制作导图的最...
查性软2983圆锥和圆柱的所有公式 -
酆帖光19877139637 ______ 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 ...
查性软2983圆柱,圆锥的表面积,体积公式,加上字母公式. -
酆帖光19877139637 ______ 表面积 S圆柱体的表面积=S圆柱体侧面+2*πr² S圆柱体侧面=2πr*h 【上或下底的周长(2πr)* 圆柱体的高(h) 】 上底和下底的面积 (πr²*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,圆锥高为圆锥尖端到下底面圆中心) 体积 圆柱:V圆柱体=底面积*高 圆锥:V圆锥体=三分之一*底面积*高