圓心坐標(biāo) ρ=2,θ=3π/4
x²+y²=2²,y/x=tan(3π/4)
x=-√2, y=√2
圓的直角坐標(biāo)方程 (x+√2)²+(y-√2)²=3²
圓的極坐標(biāo)方程 (ρcosθ+√2)²+(ρsinθ-√2)²=3²
ρ²cos²θ+2+2√2 ρcosθ+ρ²sin²θ-2√2 ρsinθ+2=9
ρ²+2√2 ρ(cosθ-sinθ)=5
ρ²+4ρsin(θ+3π/4)=5
或 ρ²+4ρcos(θ+π/4)=5
如圖所示
圓心坐標(biāo) ρ=2,θ=3π/4
x²+y²=2²,y/x=tan(3π/4)
x=-√2, y=√2
圓的直角坐標(biāo)方程 (x+√2)²+(y-√2)²=3²
圓的極坐標(biāo)方程 (ρcosθ+√2)²+(ρsinθ-√2)²=3²
ρ²cos²θ+2+2√2 ρcosθ+ρ²sin²θ-2√2 ρsinθ+2=9
ρ²+2√2 ρ(cosθ-sinθ)=5
ρ²+4ρsin(θ+3π/4)=5
或 ρ²+4ρcos(θ+π/4)=5
如圖所示