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IAL 2025 June D1 Q6

A Level / Edexcel / D1

IAL 2025 June Paper · Question 6

题目

Problem

Figure 2 represents a network of roads connecting a group of villages. The number on each arc is the length, in km, of the corresponding road.

[The total length of the network is 338]

Bolin needs to inspect the network in Figure 2. He must travel along each road at least once, minimising the length of his route.

Bolin’s route must start at A and finish at J.

(a) Determine the length of Bolin’s route. You must make your method clear and state the roads which need to be repeated.

(5)

A new road is constructed from F to J which has length 18 km. Bolin must inspect the changed network, starting at A and finishing at J. He must travel along each road at least once, minimising the length of his route.

(b) Determine the change to the length of Bolin’s route.

(2)
题目中文翻译

图 2 表示连接一群村庄的道路网络。每条弧上的数字是对应道路的长度(单位:km)。

[网络总长度为 338]

Bolin 需要检查图 2 中的网络。他必须每条道路至少经过一次,同时最小化路线长度。

Bolin 的路线必须从 A 出发,到 J 结束。

(a) 确定 Bolin 路线的长度。必须清楚说明方法并指出需要重复经过的道路。

现修建一条从 F 到 J 的新道路,长度为 18 km。Bolin 必须检查变化后的网络,从 A 出发到 J 结束。他必须每条道路至少经过一次,同时最小化路线长度。

(b) 确定 Bolin 路线长度的变化。

解答