| 一类旋转体体积的求法 |
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| 引用本文： | 崔群法,李光海.一类旋转体体积的求法[J].安阳工学院学报,2004(1):61-62. |
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| 作者姓名： | 崔群法 李光海 |
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| 作者单位： | 安阳师范学院,数学系,河南,安阳,455000;安阳师范学院,数学系,河南,安阳,455000 |
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| 摘 要： | 用V=π∫baf2(x)dx可求得连续曲线y=f(x)的弧AB与直线x=a,x=b及x轴所围成的平面图形绕x轴旋转一周得到的旋转体的体积.若x轴推广为一般的直线y-yo=k(x-xo),其它条件不变,其旋转体的体积可由V=π/(1 k2)3/2∫bakx-kx0-f(x) y0]2|1-kf'(x)| dx求得.
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| 关 键 词： | 连续曲线 旋转体 体积 求法 |
| 文章编号： | 1671-928X(2004)01-0061-02 |
| 修稿时间： | 2004年2月26日 |
An Algorithm of Volume of Objects in the Revolving Shape |
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| CUI Qun-fa,LI Guang-hai.An Algorithm of Volume of Objects in the Revolving Shape[J].Journal of Anyang Institute of Technology,2004(1):61-62. |
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| Authors: | CUI Qun-fa LI Guang-hai |
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| Abstract: | It can get radian About consecutive curve y = f(x) by V = An plane figure which Radian AB and straight line x = a x = b and axis revolves a circle around X axis, the volume of objects in revolving shape comes out. If x axis is a general straight line y-y0 = k(x-x0) other terms are constant, the volume of objects in revolving shape can get from
v=. |
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| Keywords: | consecutive curve revolve volume algorithm |
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