已知正三棱锥P-ABC的高是h,侧面积和底面所成的二面角为60°,求它的表面积∵三棱锥P-ABC为正三棱锥,∴P在△ABC上的射影P'为△ABC的重心,PP'=h.连接AP’假设AP’交BC于D,又∵侧面和底面所成的二面
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![已知正三棱锥P-ABC的高是h,侧面积和底面所成的二面角为60°,求它的表面积∵三棱锥P-ABC为正三棱锥,∴P在△ABC上的射影P'为△ABC的重心,PP'=h.连接AP’假设AP’交BC于D,又∵侧面和底面所成的二面](/uploads/image/z/12502002-66-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%AD%A3%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E7%9A%84%E9%AB%98%E6%98%AFh%2C%E4%BE%A7%E9%9D%A2%E7%A7%AF%E5%92%8C%E5%BA%95%E9%9D%A2%E6%89%80%E6%88%90%E7%9A%84%E4%BA%8C%E9%9D%A2%E8%A7%92%E4%B8%BA60%C2%B0%2C%E6%B1%82%E5%AE%83%E7%9A%84%E8%A1%A8%E9%9D%A2%E7%A7%AF%E2%88%B5%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E4%B8%BA%E6%AD%A3%E4%B8%89%E6%A3%B1%E9%94%A5%2C%E2%88%B4P%E5%9C%A8%E2%96%B3ABC%E4%B8%8A%E7%9A%84%E5%B0%84%E5%BD%B1P%27%E4%B8%BA%E2%96%B3ABC%E7%9A%84%E9%87%8D%E5%BF%83%2CPP%27%3Dh.%E8%BF%9E%E6%8E%A5AP%E2%80%99%E5%81%87%E8%AE%BEAP%E2%80%99%E4%BA%A4BC%E4%BA%8ED%2C%E5%8F%88%E2%88%B5%E4%BE%A7%E9%9D%A2%E5%92%8C%E5%BA%95%E9%9D%A2%E6%89%80%E6%88%90%E7%9A%84%E4%BA%8C%E9%9D%A2)
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