参数方程x=t+1/t-1y=2t/t²-1化为普通方程

Question

参数方程x=t+1/t-1 y=2t/t²-1化为普通方程

Answer 1

由方程1得：t=(x+1)/(x-1)
代入方程2得：y=2(x+1)/(x-1)/[(x+1)²/(x-1)²-1]
y=2(x+1)(x-1)/[(x+1)²-(x-1)²]
化简得：y=(x²-1)/(2x)