内容正文:
单元整理和复习
义务教育人教版六年级下册
第3单元
圆柱与圆锥
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谈话导入
这一单元,我们学习了两种立体图形,它们是什么呢?
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整理归纳
圆柱、圆锥的特征
1.将下面的图形分类,说一说每类图形的名称和特征。
圆柱
圆柱
圆锥
圆锥
圆锥
圆柱
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相同点 不同点
形状 底面形状 侧面 底面个数 高
圆柱
圆锥
圆形
圆形
曲面
曲面
2
1
无数条
1条
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圆柱的侧面积=底面周长×高
=2πrh
高
底面的周长
侧面
底面的周长
高
圆柱侧面积的计算方法
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表面积=侧面积+底面积×2
=2πrh+2πr2
底面
底面
高
底面的周长
底面
底面
底面的周长
高
圆柱表面积的计算方法
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圆柱、圆锥体积的计算方法
V圆锥 = V圆柱 = Sh
V=πr²h
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名称 半径 直径 高 表面积 体积
圆柱 5dm 4dm
2m 0.7m
20cm 5cm
圆锥 4dm 6dm ——
0.5m 12m ——
2.想一想:怎样计算圆柱的侧面积、表面积?圆柱、圆锥的体积计算公式是怎样推导出来的?再填写下表。
10dm
282.6dm2
314dm3
1m
10.676m2
2.198m3
40cm
3140cm2
6280cm3
2dm
25.12dm3
1m
3.14m3
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3.小雨的水壶有一个布套(如图)。
(1)做这个布套至少用了多少布料?
3.14×10×20+3.14×(10÷2)2×2
=628+157
=785(cm2)
答:做这个布套至少用了785cm2的布料。
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