Question

根据所给条件，把曲线的普通方程化为参数方程；1.y^2-x-y-1=0,设y=t-1,t为参数；

1.y^2-x-y-1=0,设y=t-1,t为参数；2.x^1/2+y^1/2=a^1/2,设x=acos^4θ，θ为参数
紧急 快点

Answer 1

(1)x=y^2-y-1=(t-1)^2-(t-1)-1=t^2-3t+1
参数方程为x=t^2-3t+1 y=t-1
(2)y^1/2=a^1/2-x^1/2=a^1/2-a^1/2*cos^2θ=a^1/2*sin^2θ
y=asin^4θ
参数方程为x=acos^4θ y=asin^4θ