确实是只要计算第一象限部分的长度,再乘以4即可首先,弧微分ds=√[(dx)^2+(dy)^2]=√[(x')^2+(y')^2]dt=3a|sintcost|dt, x'、y'表示求导其次,弧长s=4∫(0,π/2) 3a|sintcost|dt=12a∫(0,π/2) sintcostdt=6a