设拋物线 [tex=7.214x1.429]hSurE+yrHHCxNtYWaQESYBwpITHTdCrB6QlVgfLyM2I=[/tex]过原点,当[tex=4.286x1.143]NTKJxb4sPu53TmmNfb9Bb2yqhi+Jm/xG2jRm5Ftj9Js=[/tex]时[tex=3.071x1.214]2LSPaE5QBfGyldZNUIOPa54MTxSeL3/CPRmDm+BOVvU=[/tex] 又已知该抢物线与直线[tex=1.857x1.0]V1A/AhQDpaOkHSAYDdyRCQ==[/tex] 及[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 轴围成图形的面积为[tex=0.786x2.357]IwJCUxQJz+qfVDVP2eUlNg==[/tex], 求 [tex=2.571x1.214]JB9plX+DTdF1S9Y9u+/vQA==[/tex] 使得此图形绕[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 轴旋转一周而成的旋转体的体积最小.
设拋物线 [tex=7.214x1.429]hSurE+yrHHCxNtYWaQESYBwpITHTdCrB6QlVgfLyM2I=[/tex]过原点,当[tex=4.286x1.143]NTKJxb4sPu53TmmNfb9Bb2yqhi+Jm/xG2jRm5Ftj9Js=[/tex]时[tex=3.071x1.214]2LSPaE5QBfGyldZNUIOPa54MTxSeL3/CPRmDm+BOVvU=[/tex] 又已知该抢物线与直线[tex=1.857x1.0]V1A/AhQDpaOkHSAYDdyRCQ==[/tex] 及[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 轴围成图形的面积为[tex=0.786x2.357]IwJCUxQJz+qfVDVP2eUlNg==[/tex], 求 [tex=2.571x1.214]JB9plX+DTdF1S9Y9u+/vQA==[/tex] 使得此图形绕[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 轴旋转一周而成的旋转体的体积最小.
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