内容正文:
苏教版 数学 五年级 上册
钉子板上的多边形
情境导入
活动探究
课外活动
活动课
拓展延伸
绿色中小学教育http://www.LSPJY.com 绿色圃中学资源网http://cz.Lspjy.com
绿色中小学教育http://www.LSPJY.com 绿色圃中学资源网http://cz.Lspjy.com
情境导入
想一想,钉子板上的多边形的面积可能跟什么有关?
钉子板上的多边形
返回
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ₂● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
1㎝
1㎝
数一数,下面图形的面积是多少?
活动探究
1
9
10
钉子板上的多边形
返回
厘
米
1
1厘米
每个多边形边上的钉子各有多少?填入下表。
绿色中小学教育http://www.LSPJY.com 绿色圃中学资源网http://cz.Lspjy.com
绿色中小学教育http://www.LSPJY.com 绿色圃中学资源网http://cz.Lspjy.com
钉子板上的多边形
返回
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
1㎝
1㎝
①
②
③
④
图形编号 多边形的面积/平方厘米 多边形边上的钉子数/枚
①
②
③
④
●
●
●
2
●
4
●
●
●
●
●
3
3.5
6
7
4
8
、●、
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
观察表格,你有什么发现?
钉子板上的多边形
返回
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
这些多边形,边上的钉子数越多,面积就越大。
这些多边形面积的平方厘米数是它们边上钉子数的一半。
图形①边上钉子数是4,面积是2平方厘米;图形②……
钉子板上的多边形
返回
图形编号 多边形的面积/平方厘米 多边形边上的钉子数/枚
① 2 4
② 3 6
③ 3.5 7
④ 4 8
(s)
(n)
S=n÷2
钉子板上的多边形
返回
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
图形内部只有1枚钉子。
这些图形还有什么特点?
钉子板上的多边形
返回
图形编号 多边形的面积/平方厘米 多边形边上的钉子数/枚
① 2 4
② 3 6
③ 3.5 7
④ 4 8
(s)
(n)
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
1㎝
1㎝
①
②
③
④
●
●
●
●
●
●
●
●
●
、●、
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
图形中间
点的个数
用a来表示。
当a=1时,S=n÷2
钉子板上的多边形
返回
● ● ● ● ● ● ● ● ● ● ●