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歡迎您訪問數學考題練習:甲、乙兩人同時從A地出發,以各自的速度勻速騎車!

數學考題練習:甲、乙兩人同時從A地出發,以各自的速度勻速騎車

更新時間:2024-01-12 16:30:11作者:貝語網校

甲、乙兩人同時從A地出發,以各自的速度勻速騎車到B地,甲先到B地后原地休息.甲、乙兩人的距離y(千米)與乙騎車的時間x(小時)之間的函數關系圖象如圖,則A,B兩地的距離為________千米.

試題答案

24

試題解析

根據圖象知兩人行駛的距離相等,且最大距離為8,所以設出兩人的速度后列出方程組解得后求出兩地的距離.

解答:設甲每小時行駛x千米,乙每小時行駛y千米,

由函數的圖象可知,兩人行駛的距離相等,且到2小時時候最大差距為8,

∴,

解得:,

∴兩地相距3×8=24千米.

故答案為:24.

點評:本題考查了函數的圖象的知識,解決此題的關鍵是根據圖象從中找到等量關系并列方程組解之.

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