已知曲线C的参数方程是x=3ty=t22+1(t为参数),点M(6,a)在曲线C上,则a=_.

问题描述:

已知曲线C的参数方程是

x=
3
t
y=
t2
2
+1
(t为参数),点M(6,a)在曲线C上,则a=______.

∵曲线C的参数方程是

x=
3
t
y=
t2
2
+1
(t为参数),点M(6,a)在曲线C上
6=
3
t
a=
t2
2
+1

t=2
3
,a=7

故答案为:7