求点A(4,-3,5)到各个坐标轴的距离,即求点A与其在各个坐标轴上投影点的距离.
点A(4,-3,5)在x轴上投影点坐标为B(4,0,0) ∣AB∣=√[(4-4)2+(-3-0)2+(5-0)2]=√(32+52) =√34 点A(4,-3,5)在y轴上投影点坐标为C(0,-3,0) ∣AC∣=√[(4-0)2+(-3+3)2+(5-0)2]=√(42+52) =√41 点A(4,-3,5)在z轴上投影点坐标为D(0,0,5) ∴∣AD∣=√[(4-0)2+(-3-0)2+(5-5)2]=√(42+32) =5