是 -π/4到3π/4
D是圆(x-1/2)²+(y-1/2)²=1/2内区域
注意圆在(0,0)处的切线是 y=-x
θ就在这个直线之间
D: x^2+y^2 ≤ x+y, (x-1/2)^2 + (y-1/2)^2 ≤ 1/2, 为过原点的圆内部。
对于圆边界,两边对 x 求导,得 2(x-1/2) +2(y-1/2) y' = 0,
y' = -(2x-1)/(2y-1), 得过原点切线的斜率 是 k = y'(x=0, y=0) = -1,
故 -π/4 ≤ θ ≤ 3π/4