(1)是否存在点M,使△ABM为等腰三角形?若存在,分析点M的位置;若不存在,请说明理由;
(2)当点N在AD边上时,若BN⊥HN,NH交∠CDG的平分线于H,求证:BN=NH;
(3)过点M分别用AB、AD的垂线,垂足分别为E、F,矩形AEMF与△ACG重叠部分的面积为S,求S的最大值.
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