“2019年USAAAO决赛第9题”的版本间的差异

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(创建页面,内容为“==英文题目== 9. (15 points) a) Find the shortest distance from Boston (42.36010 N, 71.05890 W) to Beijing (39.90420 N, 116.40740 E)traveling along the Earth’…”)
 
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9. (15 points)  
 
9. (15 points)  
  
a) Find the shortest distance from Boston (42.36010 N, 71.05890 W) to Beijing (39.90420 N, 116.40740 E)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.  
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a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing (39.90420^{\circ} N, 116.40740^{\circ} E)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.  
  
b) What fraction of the path lies within the Arctic circle (north of 66.56080 N)?
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b) What fraction of the path lies within the Arctic circle (north of 66.56080^{\circ} N)?

2020年3月7日 (六) 18:09的版本

英文题目

9. (15 points)

a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing (39.90420^{\circ} N, 116.40740^{\circ} E)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.

b) What fraction of the path lies within the Arctic circle (north of 66.56080^{\circ} N)?