直線的極坐標方程:
x = x 0 + r cos ? θ x= x_0 + r\cos \theta x=x0?+rcosθ
y = y 0 + r sin ? θ y= y_0 + r\sin \theta y=y0?+rsinθ
x cos ? θ = x 0 cos ? θ + r cos ? 2 θ x \cos \theta =x_0 \cos \theta + r \cos^2 \theta xcosθ=x0?cosθ+rcos2θ
y sin ? θ = y 0 sin ? θ + r sin ? 2 θ y \sin \theta =y_0 \sin \theta + r \sin^2 \theta ysinθ=y0?sinθ+rsin2θ
x cos ? θ + y sin ? θ = x 0 cos ? θ + y 0 sin ? θ + r x \cos\theta + y \sin \theta =x_0 \cos \theta + y_0 \sin \theta + r xcosθ+ysinθ=x0?cosθ+y0?sinθ+r
若 x 0 = 0 , y 0 = 0 , 則 : x_0 =0,y_0 = 0,則: x0?=0,y0?=0,則:
x cos ? θ + y sin ? θ = r x \cos\theta + y \sin \theta = r xcosθ+ysinθ=r
參考鏈接:https://zhuanlan.zhihu.com/p/106099760