异面直线和线面所成角

异面直线和线面所成角 一、异面直线所成角 1、在如图所示的正方体ABCDABCD中，E是CD的中点，求异面直线DE111111 与AC夹角的余弦值。 2、如图所示，求和的夹角。 BDAB11 D1C 1 BA11 DC AB NCDM3、如图，在正方体ABCDABCD,中，、分别是、CC的中点，求异面直线11111 DNAM与所成的角的大小。 1 D1C1 B1A1N DCM AB (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest. AC4、在长方体中，已知，求异面直线与 ABCD,ABCDAB,2，BC,AA,1BD111111 所成角的余弦值的大小。 5、如图，四棱锥S-ABCD的底面是正方形，SD?平面ABCD，SD=AD=2，点E 是SD的中点(求异面直线AC与BE夹角的大小。 6、直三棱柱ABC—ABC中，若?BAC,90?，AB,AC,AA，求异面直线BA与AC111111 所成的角。 (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest. 二、直线和平面所成角 1、如图,在正方体ABCD-ABCD中,求直线AB和平面ABCD所成的角。 1111111 2、如图，在长方体ABCD,ABCD中，AB=BC=2，AA=1，求AC与平面ABCD所1111111111 成角的正弦值。 3、如图，在棱长为2的正方体ABCD,ABCD中，E是BC的中点，求直线DE与平面11111 ABCD所成角的正切值。 4、如图，在正三棱柱ABC,ABC中，侧棱长为，底面三角形的边长为1，求BC与1111侧面ACCA所成的角。 11 (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest. ABCDABCDBC5、已知是矩形，平面，，，为 的中点( PA,AB,2PAAD,,4E(1)求证:平面; DE,PAE (2)求直线与平面所成的角( DPPAE 6、如图，是棱长为的正方体，四棱锥中，平面ABCD,ABCDP,ABCD1P,11111111 5，( PC,PD,DCCD11112 P (?)求证:平面; PA//ABCD111 (?)求直线与平面所成角的正切值( PAADDA111 C1 D1 AB11 C D AB (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest. 7、如图, 四棱锥P,ABCD的底面ABCD是正方形, PA?底面ABCD, E, F分别是AC, PB的中点. (?) 证明: EF?平面PCD; (?) 若PA,AB, 求EF与平面PAC所成角的大小. P F A D E B C 8、如图，四棱锥P—ABCD的底面是正方形，PD?底面ABCD，AC与BD相交于点O， PD,2AB，点E在棱PB上. AC(?)求证:?平面PDB; (?)当E为PB的中点时，求AE与平面PDB所成的角的大小。 P E D C O A B (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest. P,ABCD，ABC,60:ABCD9、已知四棱锥的底面是平行四边形，,，面，AD,2ABPA, PC且. 若为中点，为线段上的点，且. EPA,ADFPDPF,2FD BE//ACF(?)求证:平面; (?)求PC与平面PAD所成角的正弦值. P FE DA BC (3) construct safe volunteers is realistic need to innovate the social management style. Only continuous innovation, our management to adapt to the changing social needs. Especially in today's social security situation is complex, criminal activity appeared subtle, flow, information, science and technology, gangs of new features only continuous innovation in order preventive measures, we can in an invincible position and fight criminals. We set up the peace volunteers, both volunteers is ordinary people, always living in the crowd, for the first time found the problem, information most really the most solid, it is a kind of innovation of the social management is A positive exploration of the mode of social security. Two, strengthen the sense of innovation, do a good job in combination with the article, to promote the smooth development of the public security work One is to with the Bureau of the county Party committee work combined. To carefully control the "Four Construction Bureau of county Party committee deployment project decomposition and the division of tasks, and to identify volunteers safe construction of the starting point, combined with point and the breakthrough point, to achieve the same resonance frequency, benign interaction. Que Baozhi may work and the public security work achieved double harvest.