2019年沪教版五年级下册数学教案:《正方体 长方体表面积》

2019-09-23 16:43:00来源:网络

  (3)面积都相等吗?

  (4)面积的总和是多少?

  这个正方体表面的展开图有6个正方形的面,它们的形状都相同,面积都相等。

  面积的总和 = 6 × ( 棱成 × 棱长)

  = 6 ×( 5 × 5)

  = 150( cm3)

  3. 正方体有六个大小相同的正方形面,六个面的面积总和称为正方体的表面积。

  

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" width="600" height="324"/>

  4. 小结。

  【说明:充分让学生通过已有的知识和经验,小组合作,主动探究求正方体的表面积。】

  三、练一练:

  (一)求下面正方体的表面积?

  1. 正方体的棱长为6dm,求它的表面积。

  

\

  解: S = 6 a2

  =6×6×6

  =216(cm2)

  答:它的表面积是216平方厘米。

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