n(凸多边形的边数) | 3 | 4 | 5 | … |
m(凸多边形中角度等于135°的内角个数的最大值) | … |
(2)猜想给定一个正整数n,凸n边形最多有m个内角等于135°,则m与n之间有怎样的关系?
(3)取n=7验证你的猜想是否成立?如果不成立,请给出凸n边形中最多有多少个内角等于135°?并说明理由
同类型试题
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2