2019年沪教版五年级下册数学教案:长方体和正方体的认识

2019-09-23 16:43:00来源:网络

  师:(出示一个长方体)我们把这个长 方体如果放在左前方观察,所看到的这 个长方体如果画下来就是这样的。(媒体演示)在这个图中你看到了哪几个面?哪几个面看不到?

  教师结合媒体演示告诉学生,看不到的面我们用虚线表示。(屏幕出现)

  师:这叫做长方体的立体图。看图的时候,同学们要注意,上、下、左、右这四个面画的是平行四边形,但实际上表示的却是长方形。

  三、巩固练习:

  1、量出你的数学课本长、宽、高各是多少厘米?然后指出上面长、宽各多少?

  2、猜一猜小动物的后面藏着什么图形。(说明:有两只小动物,小刺猬后面躲的看似是长方体,实际上是完全展现后不是一个长方体;小猫后面躲的看似一个立方体,实际上是一个是长方体,另一个是立方体。)

  3、试想象出长方体的样子。

  学生正确回答后电脑将长方体完整画出来。

  看到相交于同一顶点的三条棱,你想到了什么?

  这个长方体的长、宽、高各是多少?长方体中最大的面是哪两个面?最小的面是哪两个面?想到了这个长方体如果画下去,看到的是哪三个面,看不到的是哪三个面

  3、如图,这个盒子前面什么形状?长和宽各多少?和它相同面是哪个?右面什么形状?长和宽各多少?和它相同面是什么形状?

  

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" width="500" height="240"/>

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