如图,在四棱锥S-ABCD中,侧棱SA=SB=SC=SD,底面ABCD是菱形,AC与BD交于O点(1)求证:AC⊥平面SBD(2)若E为BC中点,点P在侧棱△SCD内及其边界上运动,并保持PE⊥AC,试指出动点P的轨迹,并证明你的结论
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 16:33:51
![如图,在四棱锥S-ABCD中,侧棱SA=SB=SC=SD,底面ABCD是菱形,AC与BD交于O点(1)求证:AC⊥平面SBD(2)若E为BC中点,点P在侧棱△SCD内及其边界上运动,并保持PE⊥AC,试指出动点P的轨迹,并证明你的结论](/uploads/image/z/14276124-36-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%9B%9B%E6%A3%B1%E9%94%A5S-ABCD%E4%B8%AD%2C%E4%BE%A7%E6%A3%B1SA%3DSB%3DSC%3DSD%2C%E5%BA%95%E9%9D%A2ABCD%E6%98%AF%E8%8F%B1%E5%BD%A2%2CAC%E4%B8%8EBD%E4%BA%A4%E4%BA%8EO%E7%82%B9%281%29%E6%B1%82%E8%AF%81%3AAC%E2%8A%A5%E5%B9%B3%E9%9D%A2SBD%282%29%E8%8B%A5E%E4%B8%BABC%E4%B8%AD%E7%82%B9%2C%E7%82%B9P%E5%9C%A8%E4%BE%A7%E6%A3%B1%E2%96%B3SCD%E5%86%85%E5%8F%8A%E5%85%B6%E8%BE%B9%E7%95%8C%E4%B8%8A%E8%BF%90%E5%8A%A8%2C%E5%B9%B6%E4%BF%9D%E6%8C%81PE%E2%8A%A5AC%2C%E8%AF%95%E6%8C%87%E5%87%BA%E5%8A%A8%E7%82%B9P%E7%9A%84%E8%BD%A8%E8%BF%B9%2C%E5%B9%B6%E8%AF%81%E6%98%8E%E4%BD%A0%E7%9A%84%E7%BB%93%E8%AE%BA)
xT[K`+Cdc"F۴uvvTKMEͭDNqߗ|^nv`@<}I 9Y\PxEsf?UCS
u*堮u5ko[#u>d5
/.lsuYRLu0+7JJSa+0r
<'9U
/-^$Gn\K=p)@UԶ2^{oIJMj{s+tl<Tp(Gy+8[XHNдœB"3xJүc_ņyM`aNNg悂!QQ4pDDx&ʊ2Y9:jD9cYgybLSbr$â%Iy1Ehǀcg~A,Èjd>M|Zvv&T(~Z{ jQl =܍%k4u]F)gYP[p
%g[op
)_СWN>彎WE0z7n@|mko=kMRy]pj4@|aPpzQ{