植树问题例题解答
- 时间:2020-04-16 18:10:39
- 分类:数学世界
- 阅读:147 次
植树问题例题解答。植树问题:这类应用题是以“植树”为内容。凡是研究总路程、株距、段数、棵数四种数量关系的应用题,叫做植树问题。解题关键:解答植树问题首先要判断地形,分清是否封闭图形,从而确定是沿线段植树还是沿周长植树,然后按基本公式进行计算。
解题规律:
一、沿线段植树:
棵数=段数+1
棵数=总路程÷株距+1
株距=总路程÷(棵数-1)
总路程=株距×(棵数-1)
二、沿周长植树
棵数=总路程÷株距
株距=总路程÷棵数
总路程=株距×棵数
例:沿公路一旁埋电线杆 301 根,每相邻的两根的间距是 50 米 。后来全部改装,只埋了201 根。求改装后每相邻两根的间距。
分析:本题是沿线段埋电线杆,要把电线杆的根数减掉一。列式为 50 ×( 301-1 )÷( 201-1 ) =75 (米)
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