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圆柱圆锥的思维导图+漂亮

来源:baiyundou.net   日期:2024-07-05

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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勾顾须1378圆柱和圆锥分别由几个面组成顺便再说一下圆柱和圆锥的相同点与不同点. -
郑解待19287299752 ______[答案] 圆柱是3面 圆锥是2面 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.

勾顾须1378圆柱和圆锥的相同点和不同点分别是: -
郑解待19287299752 ______[答案] 相同点:1.它们都有一个曲面.2.它们的底面都是园.3.他们都有高.4.他们都有底面.不同点:1.圆柱有无数条高.2.圆锥只有一条高.3.圆锥有顶点.4.圆柱没有顶点.5.圆柱的侧面展开图是长方形.6.圆锥的侧面展开图是半圆.

勾顾须1378思维训练:一圆柱体、一圆锥和一球体等高等宽.那它们的体积有什么关系? -
郑解待19287299752 ______[答案] 圆柱表面积A=L*H+2*S=2π*R*H+2π*R^2,体积V=S*H=π*R^2*H (L--底面周长,H--柱高,S--底面面积,R--底面圆半径^2平方^3立方) 球体表面积A=4π*R^2,体积V=4/3π*R^3 (R-球体半径)

勾顾须1378圆柱和圆锥各有那些特征?如何计算圆柱的表面和体积以及圆锥的体积?圆柱与圆锥有怎样的联系与区别? -
郑解待19287299752 ______[答案] 一、圆柱的侧面积=底面周长*高 二、圆柱的表面积=侧面积+底面积*2 三、圆柱的体积=底面积*高 四、圆锥的体积=1/3*底面积*高

勾顾须1378一个圆柱在上面加一个圆锥是什么图形;一个圆柱在上面减一个倒着的圆锥是什么图形? -
郑解待19287299752 ______[答案] 当然就是一个由圆锥和圆柱构成的组合体了啊!化复杂为简单,这是思维方式之一. 如果满意请点击右上角评价点【满意】即可~

勾顾须1378整理圆柱圆锥的公式 -
郑解待19287299752 ______ V锥=3分之1SH,V柱=SH

勾顾须1378观察圆柱可以看到什么? -
郑解待19287299752 ______ 观察圆柱可以看到圆柱是由一个长方形和两个圆形组成. 在同一个平面内有一条定直线和一条动线,当这个平面绕着这条定直线旋转一周时,这条动线所成的面叫做旋转面,这条定直线叫做旋转面的轴,这条动线叫做旋转面的母线. 如果母线是和轴平行的一条直线,那么所生成的旋转面叫做圆柱面,如果用垂直于轴的两个平面去截圆柱面,那么两个截面和圆柱面所围成的几何体叫做直圆柱,简称圆柱. 扩展资料: 直圆柱也叫正圆柱、圆柱,其具有以下性质: (1)直圆柱的两个底面是半径相等的圆; (2)直圆柱的两个底面圆心的连线和两个底面相互垂直; (3)直圆柱的侧面展开图为矩形. 参考资料来源:百度百科-圆柱

勾顾须1378圆柱与圆锥之间的关系至少五条、 -
郑解待19287299752 ______[答案] 1.圆柱有无数条高 而圆锥只有一条高 2.圆柱沿半径展开后是长方形或正方形 3.圆锥的体积是圆柱的三分之一 4.圆柱有一个顶点 5.圆锥沿高展开后是一个扇形 呃 可以么?

勾顾须1378圆柱圆锥的公式 -
郑解待19287299752 ______[答案] 圆柱圆锥的公式 底面周长:2πr 底面积:πr^2 圆柱的表面积:2πr*h+2πr^2 圆柱 的体积:πr^2*h(高) 圆锥的体积:1/3*πr^2*h 希望对你有所帮助,亲!欢迎追问!

勾顾须1378圆柱和圆锥的知识有哪些 -
郑解待19287299752 ______[答案] 1.圆锥的特征:由2个面围成,一个是底面,一个是曲面(展开后是一个扇形)只有一条高.2.圆柱的体积:公式的推导:利用转化的策略.把圆柱的底面平均分成16、32、64……无限分割,切开后拼成的物体越来越接近长方体.根...

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