已知质点运动的轨迹方程为x=a+tcosθ,y=b+sinθ,t为参数,求质点从时间t1到t2经过的距离

问题描述:

已知质点运动的轨迹方程为x=a+tcosθ,y=b+sinθ,t为参数,求质点从时间t1到t2经过的距离

x=a+tcosθ,y=b+tsinθx1=a+t1cosθ,y1=b+t1sinθM1(a+t1cosθ,b+t1sinθ)x2=a+t2cosθ,y2=b+t2sinθM2(a+t1cosθ,b+t2sinθ)|M1M2|=√[(x1-x2)²+(y1-y2)²] =√[(t1-t2)²(cos²θ+sin&...