Question

一个凸n变形各内角的弧度数成等差数列

Answer 1

∵该凸n变形各内角的弧度数成等差数列,最小角为2π/3,公差为π/36

∴2πn/3+[n(n-1)/2](π/36)=π(n-2)

∴n^2-25n+144=0

∴n=9或n=16

当n=9时,最大角为：2π/3+(9-1)π/36=8π/9π(舍去)

∴选A