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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,*,*,无忧,PPT,整理发布,单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,Click to edit Master title style,Click to edit Master text styles,2006 NENU,济南九中高三数学备课组,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,Sixth level,Seventh level,Eighth level,Ninth level,*,*,1.,直线和平面垂直的定义如何?,如果一条直线和一个平面相交,并且和这个平面内的任意一条直线都垂直,则称,这条直线和这个平面垂直,.,其中直线叫做,平面的垂线,平面叫做,直线的垂面,.,交点叫做,垂足,.,A,一,、,知识回顾,2.,直线与平面垂直的判定定理,一条直线与一个平面内的两条相交直线都,垂直,则该直线与此平面垂直。,线线垂直,线面垂直,图形表示,符号表示,关键:线不在多,,相交,则行,如图,长方体,ABCD,A,1,B,1,C,1,D,1,中,棱,AA,1,BB,1,CC,1,DD,1,所在直线与底面,ABCD,的位置关系如何?它们彼此之间具有什么位置关系?,A,A,1,B,C,D,B,1,C,1,D,1,二,、,新知探究,例,:,如图,,,已知,于点,A,,于点,B,,,求证:,.,A,B,C,l,a,三,、,理论迁移,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,性质定理:,变式探究,a,b,a,b,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,a,b,a,b,性质定理:,变式探究,a,b,a,b,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,a,b,a,b,性质定理:,a,b,a,b,a,b,l,变式探究,交换,“,直线,”,与,“,平面,”,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,变式探究,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,b,b,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,变式探究,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,a,变式探究,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,a,c,b,变式探究,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,2.,逆向探究:,交换,“,条件,”,与,“,结论,”,变式探究,a,c,b,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,2.,逆向探究:,交换,“,条件,”,与,“,结论,”,a,b,a,b,变式探究,a,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,2.,逆向探究:,交换,“,条件,”,与,“,结论,”,a,b,a,b,a,b,a,b,变式探究,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,a,a,2.,逆向探究:,交换,“,条件,”,与,“,结论,”,a,b,a,b,a,a,变式探究,a,b,a,b,1.,类比探究,:,交换,“,平行,”,与,“,垂直,”,a,b,a,b,交换,“,直线,”,与,“,平面,”,a,b,a,b,性质定理:,a,b,a,b,a,a,2.,逆向探究:,交换,“,条件,”,与,“,结论,”,a,b,a,b,a,a,a,a,变式探究,a,2.,数学思想,转化,空间问题,平面问题,1.,知识方法,小 结,线面垂直的性质定理及其应用,反证法,类比探究,逆向探究,垂直关系,平行关系,线面关系,线线关系,随堂测试,1.,判断下列命题是否正确:,平行于同一条直线的两条直线互相平行,;,垂直于同一条直线的两条直线互相平行,;,平行于同一个平面的两条直线互相平行;,垂直于同一个平面的两条直线互相平行,.,正确的是:,2.,若,a,b,表示直线,表示平面,下列命题,正确的是 。,(3)(4),
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