下列曲面不是由曲线绕z轴旋转而成的旋转曲面是（）。

A . 3/7π B . 4/7π C . π/2 D . π

A .https://assets.asklib.com/psource/2015102908433150108.png B .https://assets.asklib.com/psource/2015102908440782422.jpg C .https://assets.asklib.com/psource/2015102908443161659.jpg D .https://assets.asklib.com/psource/2015102908445394574.jpg

A . 如图A B . 如图B C . 如图C D . 如图D

A . ROTATE3D B . ROTATE C . RULESURF D . REVSURF

A .https://assets.asklib.com/psource/2015103008435526826.jpg B .https://assets.asklib.com/psource/201510300844073703.jpg C .https://assets.asklib.com/psource/2015103008442389299.jpg D .https://assets.asklib.com/psource/201510300844373107.jpg

A . α=（a+b）/a B . α=（a-b）/a C . α=（a+b）/b D . α=（a-b）/

A . xOy平面上的双曲线绕x轴旋转所得 B . xOz平面上的双曲线绕z轴旋转所得 C . xOy平面上的椭圆绕x轴旋转所得 D . xOz平面上的椭圆绕x轴旋转所得

A . 36π B . 54π C . 72π D . 108π

A . A B . B C . C D . D

由曲线y=x³,直线x=2,y=0所围成的图形,分别绕x轴及y轴旋转,计算所得的两个旋转体的体积(如图5-12). <img src='https://img2.soutiyun.com/ask/2020-11-02/973169822615045.png' />

A．18 B．18π C．π D．2π

求双曲线<img src='https://img2.soutiyun.com/ask/2020-08-13/966174938267652.png' />所围成的平面图形绕y轴旋转所产生的旋转体的体积.

A．(x+1)2=y2+z2 B．x2+y2=z-1 C．z2=x2+y2+1 D．(z-1)2=x2+y2

曲线<img src='https://img2.soutiyun.com/shangxueba/ask/17664001-17667000/17665581/2015103008433015996.jpg' />围成的平面图形绕x轴旋转产生的旋转体体积是（）。 A．<img src='https://img2.soutiyun.com/shangxueba/ask/17664001-17667000/17665581/2015103008435526826.jpg' /> B．<img src='https://img2.soutiyun.com/shangxueba/ask/17664001-17667000/17665581/201510300844073703.jpg' /> C．<img src='https://img2.soutiyun.com/shangxueba/ask/17664001-17667000/17665581/2015103008442389299.jpg' /> D．<img src='https://img2.soutiyun.com/shangxueba/ask/17664001-17667000/17665581/201510300844373107.jpg' />

求曲线<img src='https://img2.soutiyun.com/ask/2020-10-08/971032116253371.png' />绕y轴旋转所得旋转曲面方程.

求直线<img src='https://img2.soutiyun.com/ask/2020-10-29/972838000274003.png' />绕z轴旋转所得旋转面的方程，它表示什么曲面？

将直线<img src='https://img2.soutiyun.com/ask/2020-10-08/971030165366787.jpg' />绕z轴旋转,求这旋转曲面的方程,并就a和p可能的0值讨论这是什么曲面？