圆面积的推导过程思维导图
为了让学生有时间、有机会充分地了解圆的文化,理解圆的知识,渭南高新区教育文体局组织各校数学组利用暑假开展了一系列关于“圆的认识”实践性作业活动。学生依据所收集的资料,通过绘画、思维导图、手抄报等形式,多方面展示圆的相关知识。
一、探索圆周率
![](https://p0.ssl.img.360kuai.com/t014244e3438b750a52.jpg)
![](https://p0.ssl.img.360kuai.com/t01ac486d973b938f2c.jpg)
同学们动手把了解到的关于π的知识画成了数学手抄报,用图画和文字记录下自己收获,在交流分享中对π的发展有了更全面的认识,更是对数学历史产生浓厚的兴趣。
![](https://p0.ssl.img.360kuai.com/t01093a9d15285e8636.jpg)
![](https://p0.ssl.img.360kuai.com/t0107f501c207e91e88.jpg)
![](https://p0.ssl.img.360kuai.com/t015498a0a8a3db55d7.jpg)
二、圆元素之巧手设计
![](https://p0.ssl.img.360kuai.com/t018a161d9a2d3fd851.jpg)
![](https://p0.ssl.img.360kuai.com/t019475ac1203ec0afc.jpg)
![](https://p0.ssl.img.360kuai.com/t01ed20edc864773211.jpg)
通过对圆的认识学习,进一步感受圆的特征,体会图形的变换,提高学生动手能力和创造能力,学生们用自己最喜欢的方式表达着“内心的圆”,瞧!孩子们画得多有创意啊!
![](https://p0.ssl.img.360kuai.com/t017e6bd078a63adfd9.jpg)
![](https://p0.ssl.img.360kuai.com/t013501510655f7d5ab.jpg)
![](https://p0.ssl.img.360kuai.com/t01d06b70fe5182e090.jpg)
三、圆知识预习思维导图
孩子们根据自己的知识水平、认知程度、生活经验进行了尝试性学习,把知识条理化和体系化,并制作圆的预习思维导图。在预习的基础上拓展了科学性、趣味性和针对性内容,使学习变得灵活生动。
![](https://p0.ssl.img.360kuai.com/t01f6cd58a98a8f2fb7.jpg)
![](https://p0.ssl.img.360kuai.com/t017aafc24f06f13bbd.jpg)
![](https://p0.ssl.img.360kuai.com/t010a745ae280022726.jpg)
![](https://p0.ssl.img.360kuai.com/t0164f5c479dd099333.jpg)
四、花样圆面积公式推导
![](https://p0.ssl.img.360kuai.com/t014f76a4349f810389.jpg)
我们都知道,圆的面积公式为S圆=πr2,那公式究竟是如何的来的呢?让我们跟随孩子们的视角一起来看看他们的推导过程吧。
![](https://p0.ssl.img.360kuai.com/t01458adfbe7f5ea690.jpg)
![](https://p0.ssl.img.360kuai.com/t017e71d402c664e8c6.jpg)
五、圆说数学文化
![](https://p0.ssl.img.360kuai.com/t01d110278b40fccde6.jpg)
![](https://p0.ssl.img.360kuai.com/t01418546a4f6d743fc.jpg)
在数学上,圆是“正无限多边形”,圆周率是一个无限不循环小数,所以圆同时也代表着无限可能,代表着人类永无止境的幻想和探索!因此,这也引起了学生对圆文化的探究热情。
![](https://p0.ssl.img.360kuai.com/t01821180431efc5243.jpg)
![](https://p0.ssl.img.360kuai.com/t01779fc09d9e521cf2.jpg)
渭南高新区教育文体局表示,这次数学特色实践活动更是一场探寻“美”的旅程,孩子们在欣赏美、发现美、创作美的过程中,调动学习积极性、提高学习兴趣。在动手动脑中,感受美在数学,美在生活,为自己插上想象的翅膀,用智慧扮美生活,为生活增色添彩。
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夔芸威4761计算圆面积的方法是怎样推出的 -
聂店壮18999436420 ______ 圆面积=∏R^2,推导方法:从圆中心向外圆画n条半径,沿半径将圆剪开,犬牙交错拼成类似长方形的图形,因为边是圆弧,所以只能说类似长方形,当n趋于无穷时,长方形的底边趋近于直线,长方形面积近似=底*高,底是圆周长的一半1/2∏R,高是R,面积就是∏R^2. 如果你会函数和积分,可以用积分求圆面积∫√(1-x^2)*dx 简单来说,就是把圆看成无数条边的正多边形
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夔芸威4761圆的面积公式怎么推导出来的?要图 -
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夔芸威4761圆面积公式怎么推导啊 -
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夔芸威4761圆面积的公式的推导过程 -
聂店壮18999436420 ______ 把圆分割成扇形, 拼出如下形状. 周长等于 2πr, 因此圆面积的π r * r = π r^2
夔芸威4761面积公式的推导过程??? -
聂店壮18999436420 ______ 长方形的面积推导是在一个大长方形中画一些面积为1平方厘米的小正方形,由小正方形的个数推出长方形的面积由长*宽得到. 正方形是特殊的长方形,不用推,用长方形面积公式即可得到. 平行四边形的面积推导是由长方形面积推导而来的...
夔芸威4761圆的面积和周长推导
聂店壮18999436420 ______ 1.将圆沿半径切割成若干等份(越多越好)(成若干扇形) 2.将扇形平均分成两份,相互对应起来拼成一个近似长方形的图形.(越多越接近长方形) 3.长方形的面积=长乘宽,这个拼成的长方形的长是圆周长(2Pr)的一半,所以,长是Pr(圆...
夔芸威4761圆的体积与表面积的公式以及推到过程(图) -
聂店壮18999436420 ______[答案] 可以想象把一个圆展开 他就成里一个底=圆周长 高=半径 的"三角形" (扇形本身就象个三角形嘛 想象一下) 因为 三角形面积=底*高/2 所以圆面积= 圆周长 * 半径 /2 = 2лr * r /2 = л*r*r OK? 其实涉及到微积分问题 不过可以姑且这样想象下 推导圆面...
夔芸威4761长方形、正方形、平行四边形、菱形、三角形、圆面积的推导过程 -
聂店壮18999436420 ______[答案] 首先,我们得承认一个国际约定,那就是“长为1米,宽为1米的正方形的面积是1平方米”. 那么,所有的面积就从这个最基本的约定开始.如果有别的约定,那我们再根据具体的约定去执行. 已经有约定了,那再结合实数的运算法则,我们就开始求这...