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#57a5ebaa-6ae7-4380-af65-e850e18e7b1c中等填空题空间中的平行立体几何

4.下列命题正确的是((  )) (1)已知平面α\alpha和直线mmnn,若m//αm//\alphanαn\sub \alpha,则m//nm//n

4.下列命题正确的是((  ))
(1)已知平面α\alpha和直线mmnn,若m//αm//\alphanαn\sub \alpha,则m//nm//n
(2)已知平面α\alphaβ\beta和直线mmnn,且mmnn为异面直线,mαm\bot \alphanβn\bot \beta.若直线ll满足lml\bot mlnl\bot nl⊄αl\not\subset \alphal⊄βl\not\subset \beta,则α\alphaβ\beta相交,且交线平行于ll
(3)已知平面α\alphaβ\beta和直线mmnn,若mαm\sub \alphanαn\sub \alpham//βm//\betan//βn//\beta,则α//β\alpha //\beta
(4)在三棱锥PABCP-ABC中,PAPBPA\bot PBPBPCPB\bot PCPCPAPC\bot PA,垂足都为PP,则PP在底面上的射影是三角形ABCABC的垂心