利用三重积分计算下列由曲面所围成的立体的体积:＜=""＞

A . A、横断面法 B . B、分层等高线法 C . C、分区水深面颊法 D . D、多道纵断面分割法

A . 4/3π B . 8/3π C . 16/3π D . 32/3π

A .https://assets.asklib.com/psource/2015103008400019715.jpg B .https://assets.asklib.com/psource/2015103008401438024.jpg C .https://assets.asklib.com/psource/2015103008402680749.jpg D .https://assets.asklib.com/psource/2015103008403976123.jpg

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 .https://assets.asklib.com/psource/2015103008375170483.jpg B .https://assets.asklib.com/psource/2015103008381394355.jpg C .https://assets.asklib.com/psource/2015103008384727488.jpg D .https://assets.asklib.com/psource/2015103008390125347.jpg

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

计算三重积分<img src='https://img2.soutiyun.com/ask/2020-10-30/97291958752518.png' />其中Ω由圆锥面<img src='https://img2.soutiyun.com/ask/2020-10-30/972919603836112.png' />和球面x²+y²+(z-1)²=1所围成.

若<img src='https://img2.soutiyun.com/ask/2020-12-21/977393359641804.png' />则积分区域D可以是(). A.由x轴,y轴及x+y-2=0所围成的区域 B.由x=1,r=2及y=2,y=4所围成的区域 C.由|x|=<img src='https://img2.soutiyun.com/ask/2020-12-21/97739339367075.png' />,|y|= 所围成的区域 D.由|r+y|=1,|x-y|=1所围成的区域

化三重积分<img src='https://img2.soutiyun.com/ask/2020-12-22/977522841488233.png' />为三次积分，其中积分区域Ω分别是: (1)由双曲抛物面xy=z及平面x+y-1=0,z=0所围成的闭区域; (2)由曲面z=x²+y²及平面Z=1所围成的闭区域

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' />

由曲面<img src='https://img2.soutiyun.com/shangxueba/ask/18729001-18732000/18731261/2016071616381197634.jpg' />所围成的立体体积为（）<img src='https://img2.soutiyun.com/shangxueba/ask/18729001-18732000/18731261/2016071616382088384.jpg' /> A．A B． B C． C D． D

计算二重积分<img src='https://img2.soutiyun.com/ask/2020-11-16/974405066984158.png' />其中D是由曲线 <img src='https://img2.soutiyun.com/ask/2020-11-16/974405083233088.png' />(a＞0)和直线y=-x所围成的区域.

利用三重积分计算下列由曲面所围立体的质心(设密度ρ=1): (1)z²=x²+y²,z=1; (2)<img src='https://img2.soutiyun.com/ask/2020-11-25/975183822416377.png' />,<img src='https://img2.soutiyun.com/ask/2020-11-25/975183835201108.png' />(A＞a＞0),z=0; (3)z=x²+y²,x+y=a,x=0,y=0,z=0.

计算二重积分<img src='https://img2.soutiyun.com/ask/uploadfile/9819001-9822000/7e7e913efe352aafa56c54d501987c2e.png' />，其中积分区域D是由直线x+y=2，y=x及y=0所围成的区域.

计算二重积分：<img src='https://img2.soutiyun.com/ask/2020-09-25/969899151163992.png' />其中D由直线y=x，y=0，x=π/2所围成。

计算下列曲面所围成的均匀立体设p(x,y,z)=1的重心坐标: <img src='https://img2.soutiyun.com/ask/2020-11-14/974189812038412.png' />

A．回路L内的SI不变，L上各点的B不变 B．回路L内的SI不变，L上各点的B改变 C．回路L内的SI改变，L上各点的B不变 D．回路L内的SI改变，L上各点的B改变