Required Mathematical Intelligence
Chapter 124 Yue Fei Arranges Soldiers
Chapter 124 Yue Fei Arranges Soldiers
Yue Fei was a national hero in the Song Dynasty in ancient my country.During his fight against the Jin soldiers in Taizhou, he once told the generals a layout plan: a rectangular city, eight outposts were set up around the city, and a total of 24 soldiers were on duty. There are 11 soldiers in each. Later, due to changes in the military situation, troops were added to the outposts four times in a row, and each time 4 people were added. However, after the increase in personnel, each side was still required to maintain 11 soldiers on duty. How should the soldiers be arranged for each outpost?
[答案:8个哨所分别在顶点和各边中点,初始:4×11-24=20,所以在每个顶点是20÷4=5人,中点是1人第一次:4×11-28=16,所以在每个顶点是16÷4=4,中点是3人第二次:4×11-32=12,所以在每个顶点是12÷4=3,中点是5人第三次:4×11-36=8,所以在每个顶点是8÷4=2,中点是7人第四次:4×11-40=4,所以在每个顶点是4÷4=1,中点是9人。]
(End of this chapter)
Yue Fei was a national hero in the Song Dynasty in ancient my country.During his fight against the Jin soldiers in Taizhou, he once told the generals a layout plan: a rectangular city, eight outposts were set up around the city, and a total of 24 soldiers were on duty. There are 11 soldiers in each. Later, due to changes in the military situation, troops were added to the outposts four times in a row, and each time 4 people were added. However, after the increase in personnel, each side was still required to maintain 11 soldiers on duty. How should the soldiers be arranged for each outpost?
[答案:8个哨所分别在顶点和各边中点,初始:4×11-24=20,所以在每个顶点是20÷4=5人,中点是1人第一次:4×11-28=16,所以在每个顶点是16÷4=4,中点是3人第二次:4×11-32=12,所以在每个顶点是12÷4=3,中点是5人第三次:4×11-36=8,所以在每个顶点是8÷4=2,中点是7人第四次:4×11-40=4,所以在每个顶点是4÷4=1,中点是9人。]
(End of this chapter)
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