13.在三棱锥P-ABC中,PA=a,PB=b,PC=c,且a^2+b^2+c^2=ab+bc+ac,则点P在平面ABC上的射影为三角形ABC的()A.内心 B.外心 C.重心 D.垂心14.在第13题中,三棱锥P-ABC的体积为V,E,F,G分别在侧棱AP,BP,CP上,且AE=1/5a,BF=3
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![13.在三棱锥P-ABC中,PA=a,PB=b,PC=c,且a^2+b^2+c^2=ab+bc+ac,则点P在平面ABC上的射影为三角形ABC的()A.内心 B.外心 C.重心 D.垂心14.在第13题中,三棱锥P-ABC的体积为V,E,F,G分别在侧棱AP,BP,CP上,且AE=1/5a,BF=3](/uploads/image/z/10122982-70-2.jpg?t=13.%E5%9C%A8%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E4%B8%AD%2CPA%3Da%2CPB%3Db%2CPC%3Dc%2C%E4%B8%94a%5E2%2Bb%5E2%2Bc%5E2%3Dab%2Bbc%2Bac%2C%E5%88%99%E7%82%B9P%E5%9C%A8%E5%B9%B3%E9%9D%A2ABC%E4%B8%8A%E7%9A%84%E5%B0%84%E5%BD%B1%E4%B8%BA%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%EF%BC%88%EF%BC%89A.%E5%86%85%E5%BF%83++B.%E5%A4%96%E5%BF%83+++C.%E9%87%8D%E5%BF%83++D.%E5%9E%82%E5%BF%8314.%E5%9C%A8%E7%AC%AC13%E9%A2%98%E4%B8%AD%2C%E4%B8%89%E6%A3%B1%E9%94%A5P-ABC%E7%9A%84%E4%BD%93%E7%A7%AF%E4%B8%BAV%2CE%2CF%2CG%E5%88%86%E5%88%AB%E5%9C%A8%E4%BE%A7%E6%A3%B1AP%2CBP%2CCP%E4%B8%8A%2C%E4%B8%94AE%3D1%2F5a%2CBF%3D3)
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