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ρ=根号2sin(θ+π/4)化成直角坐标方程
人气:370 ℃ 时间:2020-05-18 09:02:19
解答
ρ=根号2sin(θ+π/4)
ρ=√2(sinθcosπ/4+cosθsinπ/4)
ρ =sinθ+cosθ
两边乘以ρ:
ρ²=ρsinθ+ρcosθ
∵ρ²=x²+y²,ρsinθ=y,ρcosθ=x
∴x²+y²=y+x
∴直角坐标方程
(x-1/2)²+(y-1/2)²=1/2
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