线面、面面平行练习题

线面、面面平行练习题 一、选择题 1、直线和平面平行是指该直线与平面内的( ) (A)一条直线不相交 (B)两条直线不相交 (C)无数条直线不相交 (D)任意一条直线都不相交 2、已知，则必有( ) ab||,,,, 异面 ()||(),AabBab 相交 平行或异面 (),Cab(),Dab 3、若直线a,b都与平面,平行，则a和b的位置关系是( ) (A)平行 (B)相交 (C)异面 (D)平行或相交或是异面直线 4、下列四个命题中，正确命题的个数是( )个 (1)过直线外一点，只能作一条直线与这条直线平行; (2)过平面外一点，只能作一条直线与这个平面平行; (3)过直线外一点，只能作一个平面与这条直线平行; (4)过两条异面直线中的一条直线，只能作一个平面与另一条直线平行。 (A)1 (B)2 (C)3 (D)4 5、下列命题中，错误的命题是( ) (A)如果两条平行直线中的一条和一个平面相交，那么另一条直线也和这个 平面相交; (B)一条直线和另一条直线平行，它就和经过另一条直线的任何平面都平行; (C)经过两条异面直线中的一条直线，有一个平面与另一条直线平行; (D)空间四边形相邻两边的中点的连线，平行于经过另外两边的平面。 accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and 6.一条直线若同时平行于两个相交平面，则这条直线与这两个平面的交线 A(异面 B(相交 C(平行 D(不确定 7.已知平面α、β和直线m，给出条件:?m?α;?m?α;?m?α;?α?β;?α?β.为使m?β，应选择下面四个选项中的 ( ) A(?? B(?? C(?? D(?? 8(下列命题正确的是 ( ) A 一直线与平面平行，则它与平面内任一直线平行 B 一直线与平面平行，则平面内有且只有一个直线与已知直线平行 C 一直线与平面平行，则平面内有无数直线与已知直线平行，它们在平面内彼此平行 D 一直线与平面平行，则平面内任意直线都与已知直线异面 9(若直线l与平面α的一条平行线平行，则l和α的位置关系是 ( ) l,,l//,l,,或l//,A B C D l和,相交 10(若直线a在平面α内，直线a,b是异面直线，则直线b和α平面的位置关系是 ( ) A(相交 B。平行 C。相交或平行 D。相交且垂直 11(下列各命题: (1) 经过两条平行直线中一条直线的平面必平行于另一条直线; (2) 若一条直线平行于两相交平面，则这条直线和交线平行; (3) 空间四边形中三条边的中点所确定平面和这个空间四边形的两 条对角线都平行。 其中假命题的个数为 ( ) A 0 B 1 C 2 D 3 12(若一个平面内的两条直线分别平行于零一个平面内的两条直线，则这两个平面的位置关系是( ) A.一定平行 B.一定相交 C.平行或相交 D.以上判断都不对 13、已知m、n 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示两条直线，,,,,,表示三个平面，下列命题中正确的accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and 个数是( ) ?若 ,,,,m,,,,,n,且m//n,则,//, ?若m,n相交且都在 ,、,外,m//,,m//,,n//,,n//,,则,//,?若 ,,,,l,m//,,m//,,n//,,n//,,则m//n ?若m//，n// ,,,则m//n A(0个 B(1个 C(2个 D(3个 ,,,14. a是平面外一条直线,过a作平面,使?,这样的( ) ,, A.只能作一个 B.至少可以做一个 C.不存在 D.至多可以作一个 15.有以下三个命题: ? 两个平面分别经过两条平行直线,则这两个平面平行; ?经过平面外一条直线,必能作出与已知平面平行的平面; ,?平面?平面,直线那么直线a,b的位置关系可,a,,,直线b,,, 能是平行或异面.其中正确命题的个数为( ) A. B.1 C.2 D.3 16. 以下命题(其中a，b表示直线，,表示平面) ?若a?b，b,,，则a?, ?若a?,，b?,，则a?b ?若a?b，b?,，则a?, ?若a?,，b,,，则a?b 其中正确命题的个数是 ( ) A.0个 B.1个 C.2个 D.3个 17.判断下列命题是否正确，若正确，请简述理由，若不正确，请给出反例. (1) 如果a、b是两条直线，且a?b,那么a 平行于经过b的任何平面;( ) (2) 如果直线a、b和平面α 满足a?α, b?α,那么a?b ;( ) (3) 如果直线a、b和平面α 满足a?b, a?α,b α, 那么 b?,α;( ) (4) 过平面外一点和这个平面平行的直线只有一条.( ) 二、解答题 18.如图，在底面为平行四边形的四棱锥PABCD中，E是PC的中点(求证:PA?平面BDE. accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and 19.在长方体ABCDABCD中，E、F、E、F分别是AB、CD、111111 AB、CD的中点( 1111 求证:平面AEFD?平面BCFE. 1111 (19题图) (18题图) 20.在正方体ABCD-ABCD中，E、F、G、P、Q、R分别是所在棱1111 、BB,、A,D,、D,C,、DD,的中点，求证:平面PQR?平面EFG。 AB、BC D, Q C, P A, B, R G D C F A B E 21(如图，在正方体ABCD,ABCD中，O为底面ABCD的中1111 心，P是DD的中点，设Q是CC上的点，问:当点Q在什么11 位置时，平面DBQ?平面PAO? 1 accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and