[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fzX8q4Tc_b43ni7RTDQzBZQlVzRm0rbaNBYR3sgIuxVQ":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":27,"type":28},[],"2025-12-27 11:48:10",289166673,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F702ded58a3f130d6a5c648d0609e57f2.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5f0d0e1efd79b63006ca47dd6edef07f.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5d1dafc942474f60d8b3c2859b017c98.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F75ee771a12279f0f746eca8b3bcda24e.webp\">",{"courseId":13,"courseImg":14,"courseName":15},"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","由曲线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbf2e0865077a180d3fcbad34ac1b50a0.webp\"> 与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴所围成图形绕 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴旋转一周生成的旋转体的体积为 ( )",[18,29,38,41,50,59,69,78,87,96],{"answer":19,"createTime":5,"id":20,"options":21,"question":26,"source":27,"type":28},[],289166671,[22,23,24,25],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9f9f3c798dd73e5b45b4f0d167aa7b58.webp\">","1","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fed7759f5072082e9e78cf2815ac7e852.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1efb36d4f47b2643c6724f3ad98e08c3.webp\">","设由曲线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F62b0daa52ee8342ff101f70a520468f6.webp\"> , 直线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd9c72727f4c7f2c389b3d8d932be0068.webp\"> 和 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴围成的平面图形被直线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe211cfce8d11453e6c968ef535ade715.webp\"> 分成面积相等的两部分, 则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd2bf2ea7f2ba3c2b400450c1d5654501.webp\">( )","v1",0,{"answer":30,"createTime":5,"id":31,"options":32,"question":37,"source":27,"type":28},[],289166672,[33,34,35,36],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fff8628ffd8584894986d1a2d9e02e8d0.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F37513fbca54796c6ab2ab78af255f844.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc2e95a8ce2159e314df0a1515b2c12cb.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F480cc26fdfcc03262ed188f7beb2dfff.webp\">","由曲线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F779358537b4d174ca6464ea415679f4d.webp\"> 与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴所围成图形绕 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴旋转一周生成的旋转体的体积为 ( )",{"answer":39,"createTime":5,"id":6,"options":40,"question":16,"source":27,"type":28},[],[8,9,10,11],{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":27,"type":28},[],289166674,[45,46,47,48],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F34899b5b0cae21232af0572daf439fbf.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa1efca1cc68ab4770e34e20e317dba09.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffe18c07374292551f8a7b1faaa7d7dde.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7c3d7b0e14c6f8fdb322a9af0a656bd9.webp\">","设 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9d25f4fc3c8c681d3ea96be6596292a6.webp\"> 与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8024b473505322bf89e6cf0b924dbd92.webp\"> 均在区间 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe2ee9680e8e3db880da516e69403633d.webp\"> 上连续, \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fec5c6c8b1f3ec66124794f8a09a1374c.webp\"> 为实常数. 如果在区间 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9d7980839186c6c747b2223b6e9acd4c.webp\"> 上满足条件 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd7e60c6c34d95fec2d94fbda9543194a.webp\"> , 则由 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8af780c431ff08375a76c0d9b9f962d0.webp\"> 及 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe211cfce8d11453e6c968ef535ade715.webp\"> 所围成图形绕直线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F97bb626e8e3ebcd71775fc8bc3c94f6d.webp\"> 旋转一周生成的旋转体的体积为 ( )",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":27,"type":28},[],289166675,[54,55,56,57],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F04be83feff3ed7424c065bec2627bf4e.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F293204015ef81f5d01742ad42c85c34f.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fac590694342d4943167e6eceed4aff9e.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb05e5ae14c6b042a0969ad0bea656a4c.webp\">","设由曲线 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8d002b7240d9caa7338b28e9b8159876.webp\"> 与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14e62e024aece1be248728a5aaf150b6.webp\"> 轴所围成图形的面积为 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd2c6aaf28974db84b0535b10ab5d86c5.webp\"> , 则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3cde53dfc3cd60586e286b7929abb9be.webp\"> 可用定积分表示为 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F155bb81551b295bbfbb317b6e663b460.webp\"> , 且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14fe69aa2fa1b3811b5da2f84e1e9f4c.webp\"> ( )",{"answer":60,"createTime":61,"id":62,"options":63,"question":68,"source":27,"type":28},[],"2026-01-16 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