空间解析几何,求摆线x＝t－sint,y＝1－cost,在0度

Question

空间解析几何,求摆线x＝t－sint,y＝1－cost,在0度

Answer 1

当y=3/2时,
y=1-cost=3/2
cost=-1/2
t=2π/3或4π/3
当t=2π/3时,x=2π/3-sin(2π/3)=2π/3-√3/2,交点就是(2π/3-√3/2,3/2)
当t=4π/3时,x=4π/3-sin(4π/3)=4π/3+√3/2,交点就是(4π/3+√3/2,3/2)
此即所求.