专题直线平面平行性质课后练习题.pdfVIP

专题直线、平面平行的性质课后练习

主讲：数学骨干

题一：如图，若Ω是长方体ABCD—ABCD被平面EFGH截去几何体EFGHBC后得到的几何体，

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其中E为线段AB上异于B的点，F为线段BB上异于B的点，且EH//AD，则下列结论中

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不正确的是()

．．．

A．EH//FG

B．四边形EFGH是矩形

C．Ω是棱柱

D．Ω是棱台

题二：下列四个正方体图形中，A、B为正方体的两个顶点，M、N、P分别为其所在棱的中点，能

得出AB//平面MNP的图形的序号是(写出所有符合要求的图形序号)．

Topic:Propertiesofparallellinesandnes.After-class

exercises

Lecturer:XiongDan,keyteacherofmathematics

inBeijing

Question1:Asshowninthefigure,ifΩisacuboidABCD-ABCDthatisobtainedby

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truncatingthegeometryEFGHB1C1bytheneEFGH,whereEisapointonthelinesegment

ABthatisdifferentfromB,andFisapointonthelinesegmentBBthatisdifferentfrom

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ThepointofB,andEH//AD,thentheincorrectoneofthefollowingconclusionsis()

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A.EH//FGB.

QuadrilateralEFGHi

sarectangleC.Ωisa

prismD.Ωisapris

m

Question2:Amongthefollowingfourcubefigures,AandBarethetwoverticesofthecube,andM,N,

andParethemidpointsoftheedgesrespectively.Itcanbeconcludedthattheserialnumberofthefi