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圆锥展开图

来源:baiyundou.net   日期:2024-07-08

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

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仇初斧4626怎么根据一个圆锥画它的展开图?另外,圆锥展开后是什么形和什么形?怎么样可以根据一个圆锥画出他的展开 -
缪包骅19683509188 ______[答案] 展开后是一个扇形外加一个圆形, 画图需测量 圆锥底面圆的周长,圆锥母线长(圆锥的顶点到底面圆周上任意一点的线段叫做圆锥母线), 圆形即为圆锥底面,扇形的弧长等于底面圆形周长,扇形的半径为圆锥母线长,扇形的角度=弧长/2πr*360

仇初斧4626圆锥体展开图怎么画,上口直径是300mm,下口直径是32mm,高度100mm,板厚2mm -
缪包骅19683509188 ______[答案] 圆锥的展开画图 你可用这个软件 免费展开画图的 钢勾CAD 圆锥和圆锥台等是免费的

仇初斧4626圆锥台的展开图怎么画?方法最好详细点的, -
缪包骅19683509188 ______[答案] 先画出圆锥台的投影,令大圆直径为AB小圆直径为CD,连接AC和BD延长线交于O.以O为圆心OA为半径画弧线,再以O为圆心OC为半径画弧线.以A点为起点AB为直径在大弧线上截取三段.再以C点为起点CD为半径在小弧线上截取三段最后连接截取...

仇初斧4626已知一个圆锥的展开图如图所示,其中扇形的圆心角为120°,底面圆的半径为1,则该圆锥的体积为______. -
缪包骅19683509188 ______[答案] 因为扇形弧长为2π,所以圆锥母线长为3,高为2 2, 所求体积V= 1 3*π*12*2 2= 22π 3. 故答案为: 22π 3

仇初斧4626圆柱和圆锥的侧面积展开图分别是什?圆柱和圆锥的侧面积展开图分别是
缪包骅19683509188 ______ 圆柱和圆锥共同点:底面都是圆形 圆柱和圆锥不同点:圆柱侧面展开图是长方形(或正方形)正截面也是长方形(或正方形),且上下底面相等. 圆锥侧面展开图是扇形,

仇初斧4626圆锥的展开图是一个半径为12cm的半圆,求圆锥的体积 -
缪包骅19683509188 ______[答案] 圆锥的展开图是一个半径为12cm的半圆,求圆锥的体积 12cm的半圆 弧长为 πr = 12π 圆锥底面半径= 12/2 = 6cm 底面积=36π 高= 根号 (144-36) =根号 108 = 6根号 3 圆锥的体积= 36π x 6根号 3 /3 = 72π 根号 3

仇初斧4626圆锥展开图为什么是扇形 -
缪包骅19683509188 ______ 因为圆锥体是以高为轴直角三角形旋转体,∴顶点 到圆周距离=母线∴,侧面展开图是以母线为半径的扇形.

仇初斧4626圆锥体的曲面展开图,除了扇形外,还有什么形状? -
缪包骅19683509188 ______[答案] 你的圆锥体是不是正体?就是底面是正圆的一种,底面是椭圆的一种,底面是马鞍形的还有一种.还有的圆锥体下面渐变成了近乎方形,这些的展图都是不太规则的,你用纸做一个再展开看一下吧,这里画图太不方便.这些形状在实际生活中都是有的. ...

仇初斧4626直角圆锥的展开图
缪包骅19683509188 ______ 半圆或者扇形,或者是……椭圆被切去一块,但绝对不会是椭圆.要看在哪条线上展开.

仇初斧4626圆锥的表面展开图是由什么和什么练成的;圆锥侧面展开图中扇形的弧长等于什么? -
缪包骅19683509188 ______ 1,圆锥的表面展开图是由( 扇形和圆 )练成的.2,圆锥侧面展开图中扇形的弧长等于( 底面圆的周长 ).3,侧面可以展开成一个长方形的几何体有( 正方体、长方体、圆柱、棱柱 ).4,圆锥的侧面展开后是一个( 扇形 ).5,不能展开成平面图形的几何体是( 球体 ).

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