数学题:求MN的长是多少

  • 时间:2020-05-13 15:05:48
  • 分类:数学世界
  • 阅读:138 次

数学题:如图半圆的直径为20厘米,已知阴影A比阴影B的面积少27平方厘米。求MN的长是多少?

求MN的长

数学题解答

A比B的面积少27平方厘米,A和B都加上直径上方的空白部分,就分别变成了三角形和半圆。

所以三角形比半圆少27平方厘米,根据这一点可以列方程解决。

设MN为x厘米。

等量关系式:三角形面积 + 27 = 半圆面积

20x÷2 + 27 = 3.14×(20÷2)2÷2

10x+27=157

x=13

答:MN的长是13厘米。

算术解法:

算术解法

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