(1)如图,在中,的平分线交于点,的平分线交于点,若、,求的长.(2)如图,在菱形中,和相交于点,若,求证:平分.(3)如图,在正方形中,点是中点,请用直尺与圆规在边上画一点,使得恰是的平分线(保留作图痕迹、不写作法)(4)如图,在矩形中,、,点和分别是和上的动点,连接,若平分,则的最大值为________.
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