空间中直线与平面之间的位置关系和平面与平面之间的位置关系.ppt

成才之路·数学路漫漫其修远兮吾将上下而求索人教A版·必修2Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.成才之路·数学·人教A版·必修2第二章点、直线、平面之间的位置关系第二章点、直线、平面之间的位置关系Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.成才之路·数学·人教A版·必修2第二章点、直线、平面之间的位置关系2．1空间点、直线、平面之间的位置关系第二章Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.成才之路·数学·人教A版·必修2第二章点、直线、平面之间的位置关系第二章2．1.3空间中直线与平面之间的位置关系2．1.4平面与平面之间的位置关系Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2课前自主预习思路方法技巧名师辨误做答课后强化作业课堂基础巩固Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2课前自主预习Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2温故知新1．空间中两条直线的位置关系：2．若a∥b，b∥c，则.3．如图所示，在长方体ABCD－A1B1C1D1的棱中，平行、相交、异面．a∥cEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2(1)与棱AB平行的棱是_______________________________________________________________________；(2)与棱AB相交的棱是________________________________________________________________________；(3)与棱AB异面的棱是________________________________________________________________________；(4)与棱AB垂直的棱是________________________________________________________________________．Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2[答案](1)A1B1，C1D1，CD(2)BC，B1B，AD，AA1(3)CC1，DD1，A1D1，B1C1(4)BC，B1C1，A1D1，AD，AA1，BB1，CC1，DD1Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修24．若∠AOB＝110°，直线a∥OA，a与OB为异面直线，则a和OB所成的角为________．[答案]70°[解析]∵a∥OA，根据等角定理，又∵异面直线所成的角为锐角或直角，∴a与OB所成的角为70°.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2新课引入Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2灯光照射三角板在桌面产生影子的现象，可以作如下的简化：如上图，将光源所在的位置抽象为一点S，称为投影中心．投影中心(S)与三角板上各点(A、B、C)的投影连线(SAA′、SBB′、SCC′)称为投影线，接受投影的面，称为投影面(三角形A′B′C′所在的平面)．如何摆放三角板ABC，才能使平面ABC∥平面A′B′C′呢？Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2自主预习阅读教材P48－50，完成下列问题：1．空间中直线与平面的位置关系(1)位置关系：有且只有三种①直线在平面内——有个公共点；②直线与平面相交——公共点；③直线与平面平行——公共点．直线与平面或的情况统称为直线在平面外．无数有且只有一个没有相交平行Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2[归纳总结]“直线与平面不相交”和“直线与平面没有公共点”表示不同的意义，前者包括直线与平面平行及直线在平面内这两种情况，而后者仅指直线与平面平行．Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2(2)符号表示：直线l在平面α内，记为；直线l与平面α相交于点M，记为；直线l与平面α平行，记为.(3)图示：直线l在平面α内，如图a所示；直线l与平面α相交于点M，如图b所示；直线l与平面α平行，如图c所示．l⊂αl∩α＝Ml∥αEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.第二章2.12.1.32.1.4成才之路·数学·人教A版·必修2[破疑点]一般地，直线l在平面α内时，应把直线l画在表示平面α的平行四边形内，如图a；直线l与平面α相交时，应画成直线l与平面α只有一个公共点，如图b；直线l与平面α平行时，应画成直线l与表示平面α的平行四边形的其一边平行且在表与平面的平行四边形外，如图c.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAs