求双曲线所围成的平面图形绕y轴旋转所产生的旋转体的体积.

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 . π ／4 B . π／2 C . π ／4+1 D . π／2+1

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 . （293／60）π B . π／60 C . 4π D . 5π

A . 36π B . 54π C . 72π D . 108π

A . ['['https://assets.asklib.com/psource/2015103008412312933.jpg B . πC .https://assets.asklib.com/psource/2015103008413627903.jpg D .https://assets.asklib.com/psource/2015103008415366754.jpg

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

曲线y=e-x≥0)与直线x=0，y=0所围图形绕ox轴旋转一周所得旋转体的体积为()。 A．<img src='https://img2.soutiyun.com/ask/uploadfile/5757001-5760000/784bff2c580846720ac5cc8bb4e73bd0.jpg' /> B．π C．<img src='https://img2.soutiyun.com/ask/uploadfile/5757001-5760000/76698f1d07a3c7ceb7f2adf5a7d02e0d.jpg' /> D．<img src='https://img2.soutiyun.com/ask/uploadfile/5757001-5760000/ca9b02e28aced73f37e9339c8094638e.jpg' />

如图10-3,设曲线y=<img src='https://img2.soutiyun.com/ask/2020-11-30/975595449507168.png' />,过原点作其切线,求此曲线、切线及x轴围成的平面图形绕x轴旋转一周所得到的旋转体的表面积. <img src='https://img2.soutiyun.com/ask/2020-11-30/975595471682437.png' /> 答案:解题

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

求由χ轴、曲线<img src='https://img2.soutiyun.com/ask/2020-10-27/9726571312104.png' />及曲线<img src='https://img2.soutiyun.com/ask/2020-10-27/972657142143025.png' />过原点的切线所围成图形的面积,并求该图形分别绕χ轴与y轴旋转所得旋转体的体积.

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' />

A．π/2 B．π C．π/3 D．π/4