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;

问题描述:

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

(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