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单选题由曲线与轴所围成图形绕轴旋转一周生成的旋转体的体积为 ( )

A.

B.

C.

D.

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时间：2025-12-27 03:48:10

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设由曲线 <img src="https://tihai-oss-cloud.itihey.com/img/62b0daa52ee8342ff101f70a520468f6.webp"> , 直线 <img src="https://tihai-oss-cloud.itihey.com/img/d9c72727f4c7f2c389b3d8d932be0068.webp"> 和 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴围成的平面图形被直线 <img src="https://tihai-oss-cloud.itihey.com/img/e211cfce8d11453e6c968ef535ade715.webp"> 分成面积相等的两部分, 则 <img src="https://tihai-oss-cloud.itihey.com/img/d2bf2ea7f2ba3c2b400450c1d5654501.webp">( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/9f9f3c798dd73e5b45b4f0d167aa7b58.webp">B. 1C. <img src="https://tihai-oss-cloud.itihey.com/img/ed7759f5072082e9e78cf2815ac7e852.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/1efb36d4f47b2643c6724f3ad98e08c3.webp">

由曲线 <img src="https://tihai-oss-cloud.itihey.com/img/779358537b4d174ca6464ea415679f4d.webp"> 与 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴所围成图形绕 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴旋转一周生成的旋转体的体积为 ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/ff8628ffd8584894986d1a2d9e02e8d0.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/37513fbca54796c6ab2ab78af255f844.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/c2e95a8ce2159e314df0a1515b2c12cb.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/480cc26fdfcc03262ed188f7beb2dfff.webp">

由曲线 <img src="https://tihai-oss-cloud.itihey.com/img/bf2e0865077a180d3fcbad34ac1b50a0.webp"> 与 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴所围成图形绕 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴旋转一周生成的旋转体的体积为 ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/702ded58a3f130d6a5c648d0609e57f2.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/5f0d0e1efd79b63006ca47dd6edef07f.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/5d1dafc942474f60d8b3c2859b017c98.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/75ee771a12279f0f746eca8b3bcda24e.webp">

设 <img src="https://tihai-oss-cloud.itihey.com/img/9d25f4fc3c8c681d3ea96be6596292a6.webp"> 与 <img src="https://tihai-oss-cloud.itihey.com/img/8024b473505322bf89e6cf0b924dbd92.webp"> 均在区间 <img src="https://tihai-oss-cloud.itihey.com/img/e2ee9680e8e3db880da516e69403633d.webp"> 上连续, <img src="https://tihai-oss-cloud.itihey.com/img/ec5c6c8b1f3ec66124794f8a09a1374c.webp"> 为实常数. 如果在区间 <img src="https://tihai-oss-cloud.itihey.com/img/9d7980839186c6c747b2223b6e9acd4c.webp"> 上满足条件 <img src="https://tihai-oss-cloud.itihey.com/img/d7e60c6c34d95fec2d94fbda9543194a.webp"> , 则由 <img src="https://tihai-oss-cloud.itihey.com/img/8af780c431ff08375a76c0d9b9f962d0.webp"> 及 <img src="https://tihai-oss-cloud.itihey.com/img/e211cfce8d11453e6c968ef535ade715.webp"> 所围成图形绕直线 <img src="https://tihai-oss-cloud.itihey.com/img/97bb626e8e3ebcd71775fc8bc3c94f6d.webp"> 旋转一周生成的旋转体的体积为 ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/34899b5b0cae21232af0572daf439fbf.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/a1efca1cc68ab4770e34e20e317dba09.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/fe18c07374292551f8a7b1faaa7d7dde.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/7c3d7b0e14c6f8fdb322a9af0a656bd9.webp">

设由曲线 <img src="https://tihai-oss-cloud.itihey.com/img/8d002b7240d9caa7338b28e9b8159876.webp"> 与 <img src="https://tihai-oss-cloud.itihey.com/img/14e62e024aece1be248728a5aaf150b6.webp"> 轴所围成图形的面积为 <img src="https://tihai-oss-cloud.itihey.com/img/d2c6aaf28974db84b0535b10ab5d86c5.webp"> , 则 <img src="https://tihai-oss-cloud.itihey.com/img/3cde53dfc3cd60586e286b7929abb9be.webp"> 可用定积分表示为 <img src="https://tihai-oss-cloud.itihey.com/img/155bb81551b295bbfbb317b6e663b460.webp"> , 且 <img src="https://tihai-oss-cloud.itihey.com/img/14fe69aa2fa1b3811b5da2f84e1e9f4c.webp"> ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/04be83feff3ed7424c065bec2627bf4e.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/293204015ef81f5d01742ad42c85c34f.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/ac590694342d4943167e6eceed4aff9e.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/b05e5ae14c6b042a0969ad0bea656a4c.webp">

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A. 教师B. AI训练师C. 传统制造业工人D. 行政文员

以下哪项不是AIGC技术对工作方式带来的变革

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A. 引导生成B. 增强交互性C. 提高准确性D. 自动编写代码

使用AIGC提示词时,以下哪项是建议的技巧

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