2018_2019学年高中数学第一章空间几何体1.3.1柱体、锥体、台体的表面积与体积情境导学素材新人教A版必修2.doc

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11.3.1 柱体、锥体、台体的表面积与体积【情境导学】在 1889 年巴黎埃菲尔铁塔落成前的四千多年的漫长岁月中,被誉为世界七大奇迹之首的胡夫大金字塔一直是世界上最高的建筑物.在四千多年前生产工具很落后的中古时代,埃及人是怎样采集、搬运数量如此之多,每块又如此之重的巨石垒成如此宏伟的大金字塔的?这真是一个十分难解的谜.胡夫大金字塔是一个正四棱锥外形的建筑,塔底边长 230 m,塔高146.5 m,你能计算出建此金字塔用了多少石块吗?棱柱、棱锥、棱台、圆柱、圆锥、圆台的表面积如何求呢?(把这些几何体的侧面、底面展开,转化为已学过的平面图形的面积计算问题,进而求和解决)

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