高中數學橢圓知識點歸納 橢圓繞x軸旋轉的體積怎么算?
橢圓繞x軸旋轉的體積怎么算?讓橢圓方程如下:x^2/A^2,y^2/b^2=1然后繞x軸旋轉:y^2=b^2(1-x^2/A^2)v=∫-A,Aπ·y^2 DX=π·b^2∫-A,A(1-x^2/A^
橢圓繞x軸旋轉的體積怎么算?
讓橢圓方程如下:
x^2/A^2,y^2/b^2=1
然后繞x軸旋轉:
y^2=b^2(1-x^2/A^2)
v=∫-A,Aπ·y^2 DX
=π·b^2∫-A,A(1-x^2/A^2)DX
=π·4/3·A·b^2