圆柱和圆锥的知识点整理
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
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聂聂顷5128圆柱圆锥知识点 -
沈葛柔17276362176 ______ 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
聂聂顷5128请问【圆柱和圆锥的相同点和不同点】分别是什么? -
沈葛柔17276362176 ______ 从各自的截面来说:相同点:圆柱和圆锥的横截面都是园 不同点:圆柱的纵截面是矩形(包括正方形),圆锥的纵截面是等腰三角形.从形成的原理来说:相同点:圆柱和圆锥都是回转体.不同点:圆柱由矩形回转形成,圆锥由直角三角形回转形成.
聂聂顷5128数学圆柱与圆锥知识 -
沈葛柔17276362176 ______ 3.14*10*15=471 3.14*5*5*2=157 471+157=628 第二个高看不清, 3.14*2*2*15*1/3*2=125.6 3.14*5*5*3+3.14*5*5*9*1/3=157
聂聂顷5128圆柱和圆锥有哪些特点
沈葛柔17276362176 ______ 圆柱: 1.圆柱有无数条高 2.圆柱有三个面,其中的两个面是完全相等的圆,还有一个面是曲面 3.圆柱等于一个跟它等底等高的圆锥的3倍 圆锥: 1.圆锥只有一条高 2.圆锥只有两个面,一个是圆,另一个是侧面 3.圆锥等于一个跟它等底等高的圆柱的1/3
聂聂顷5128小学6年级数学关于圆柱与圆锥的知识 -
沈葛柔17276362176 ______ 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
聂聂顷5128圆柱与圆锥分别有什么特点?概括点. 急急急!!! -
沈葛柔17276362176 ______ 莀默de菋道,你好: 圆柱体: 有三个面,侧面展开是一个矩形,上下底面为相同的圆 ,从上面看是一个圆,从正面看是一个矩形 . 圆锥体: 有两个面,侧面展开是一个扇形,底面是一个圆,从上面看是一个圆,从正看是一个等腰三角形.
聂聂顷5128数学六年级关于圆柱圆锥的知识 -
沈葛柔17276362176 ______ V柱=底面积*高(π V=锥1/3*底面积*高
聂聂顷5128圆柱和圆锥各自有什么特点
沈葛柔17276362176 ______ 圆柱(直圆柱)的特点:上下两个面是面积相等的两个圆,叫做底面;两个底面之间的距离叫做高;圆柱的侧面是曲面;展开后是一个长方形(正方形);圆柱展开得到的长方形的长等于圆柱的底面周长,宽等于圆柱的高;当圆柱的底面周长和高相等时展开就是正方形. 圆锥的特点:有一个尖顶,底面是一个圆,侧面是一个曲面;从圆锥的顶点到底面圆心的距离是圆锥的高;圆锥的侧面展开是一个扇形.
聂聂顷5128圆柱和圆锥分别有什么特点?
沈葛柔17276362176 ______ 圆柱(直圆柱)的特点:上下两个面是面积相等的两个圆,叫做底面;两个底面之间的距离叫做高;圆柱的侧面是曲面;展开后是一个长方形(正方形);圆柱展开得到的长方形的长等于圆柱的底面周长,宽等于圆柱的高;当圆柱的底面周长和高相等时展开就是正方形. 圆锥的特点:有一个尖顶,底面是一个圆,侧面是一个曲面;从圆锥的顶点到底面圆心的距离是圆锥的高;圆锥的侧面展开是一个扇形.
聂聂顷5128比例,圆柱与圆锥的相关知识 -
沈葛柔17276362176 ______ 一楼回答错了!!!~~~~ 圆柱的表面积等于一个侧面加上两个底面积,而圆锥的表面积就是一个侧面积加上一个底面积,侧面是一个扇形,求扇形的面积是:扇形的面积=弧长*圆半径*1/2,其他资料如下:圆柱体积=底面积*高 圆锥体积=1/3底...