求下列立体的体积:由[tex=7.0x1.429]JfMnpkdfUBckNje06oWbkyzMH8gndu4rFutgSLrVTEE=[/tex]及 [tex=6.0x1.643]L1mMyE+pmRrVhKGb1vNX3jcKQCSABiqdbvMy7sJs7Cg=[/tex] 所围成的立体

2022-06-19

求下列立体的体积:由[tex=7.0x1.429]JfMnpkdfUBckNje06oWbkyzMH8gndu4rFutgSLrVTEE=[/tex]及 [tex=6.0x1.643]L1mMyE+pmRrVhKGb1vNX3jcKQCSABiqdbvMy7sJs7Cg=[/tex] 所围成的立体

答案：

设[tex=17.143x1.214]PO6XYYe77SCQAJ/+DcmEymn7dfWrfwNq2Wyq9O6W5qDmUvXad4G6MHOb0Dk4HmBr9qEsc8OHFdLKPtqeRTBYhTT4QRszb518ALOKAW5zFBc=[/tex] 两曲面 [tex=7.0x1.429]JfMnpkdfUBckNje06oWbkyzMH8gndu4rFutgSLrVTEE=[/tex] 及 [tex=5.429x1.643]ZFcQtLlCJenmX1th57/7wgo4qiOXrkwuNq4b+ETjBTQ=[/tex] 的方程化为[p=align:center][tex=6.571x2.143]6jOg3aOXjQPfuuF4MlwrM3MtUpnu9waL0kTvrw1HrSTyD6Dz9MF3waQg1FUYm2g2[/tex]从而,两曲面所围成的立体在球面坐标系下可表示为[p=align:center][tex=24.429x2.214]e0FLTuH9/4sYCnBXPANRIYEcR5Raexs4n/+ybyMUkMwTXB7IHn6yt/m0JX3sh1eTm/b7T6iYCkvotMhVot2zdQI0HrN6LKYl7WBkyGI5wW+M9N+PabL1V2Zh+ch6ZcxTAZEFpLE7xEeIoykU0C+xNxr3+JwBw3VPlPGheMiWxd6N6XXu36BCdTLSCPhWXe/tCY4aSv5DxO2UnsTOA+3sFa6wFRk9hzXUt/km+0h7ZvM=[/tex]所以[p=align:center][tex=19.286x8.071]qeiYnKXLEhyhuGRg8yLtr9cGxJvbxBcVoGqavLeba6x8HzNmjvBELvoBuGE1UfJV7n05TSO/ulAqz1Z0bUI7Bl8MJ3bHwn+/rc7Rm6EhacaVagY3TiKosuHMZViMyF0h6e9u8CCu3uuNdAYEKvnkI99V/CGK0dgrS5R5Ihf4poy43/TVQBPgaYRsTsSvxIPnKO3SY5W+jto2laBraiPHmtT3fcy3TBfsLyH6au9fcR9rA1FlJEWn0IB96nbT7aLDzoKZUGhcKQAu5KZT3kXoSLsUq6YwZoQk2rxdQLB2BNKuWxg7ekE1zutzZ1JqOgb8UpBb3RNAAjk/h1KSKwcqs6BsOrYMCX0iVniBwW4ntJsVR70zCb+h4nV2u+12S+8GuKAn6kxrH9lcnVcGycBw3S9WWXcKDNggoYaTxWN9FOI=[/tex]

举一反三

内容

0
求由平面[tex=3.643x1.357]BkVUdKmu885Ur0187qTGIg==[/tex]曲面[tex=4.429x1.429]xQJ4f+x9cevCG51/pFa/eUbKfhyv91g33zvkj0euzFc=[/tex] 及[tex=7.286x1.643]eNWrJdaGM5CiTM2z1sI8WgziM+tuGV/jj74AgAgEDkc=[/tex] 所围成立体的体积.
1
求下列各族曲面所围成的立体体积 :[tex=15.071x1.429]rdWLgA4wIftDBhxsVgG6jDn16TJPOZqS+8J51G7jqb9s1sb8W3nrWsudY4dpjhkd[/tex]
2
求由曲面 [tex=4.429x1.429]4nTAgIiYeGQvyo2DaWJwXh5T5a2kyFlikub1L3FECZ0=[/tex] 及 [tex=5.714x1.429]vrLPM2mghYpzoawpBw92t/huOLgDQyKBd47H4/7EOt0=[/tex] 围成的立体的体积.
3
求下列各组曲面所围成立体的体积 [tex=9.071x1.214]zAcwAo30kZ//SzWchKmyHeI+7shZbVf5ot6V5+XMKbs=[/tex]
4
求由平面[tex=2.429x1.0]DkBykaXVOUperIdHUj3SVw==[/tex]，[tex=2.357x1.214]/1Hc3IEqjvG22LyL7cBWzg==[/tex]，[tex=2.357x1.0]OK0mYXKV9THVWMjDsQSyrQ==[/tex]，[tex=3.143x1.214]ZxlKTrUbjbtzzqvrPzshAg==[/tex]及[tex=4.429x1.214]XKtDc+sMa1FBfMEI330w/g==[/tex]所围成的立体的体积.