参数方程x=t+1⼀t,y=t-1⼀t,怎么化成普通方程

2025-06-21 14:38:00
推荐回答(1个)
回答1:

x=t+1/t (1)
y=t-1/t (2)
(1)+(2)得:2t=x+y
t=(x+y)/2
将t=(x+y)/2代入(1)得:
x=(x+y)/2+2/(x+y)
两边同乘以2(x+y)得:
2x(x+y)=(x+y)²+4
2x²+2xy=x²+2xy+y²+4
x²-y²-4=0