(1)分别求出点A、点B、点C的坐标;
(2)如图(2),点D为边AB中点,以点D为顶点的直角∠EDF两边分别交边BC于E,交边AC于F,①求证:DE=DF;②求证:S四边形DECF=S△ABC;
(3)在坐标平面内有点G(点G不与点A重合),使得△BCG是以BC为直角边的等腰直角三角形,请直接写出满足条件的点G的坐标.
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