小吉同学的作法如下:连接,取的中点O,连接,请你帮助小吉补全余下的证明过程;
【问题解决】如图②,在正方形中,,点E是边的中点,点F是边上的一个动点,连接,作于点P.
(1)如图②,当点P恰好落在正方形对角线上时,线段的长度为______;
(2)如图③,过点P分别作于点M,于点N,连接,则的最小值为______.
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