内容正文:
5.1.2垂线
情景导入
观察下面图片,你能找出其中相交的直线吗?它们有什么特殊的位置关系?
2
生活中的垂直
新知探究
a
b
b
b
b
b
位置关系
α
∠α=90°时,木条a和木条b互相垂直
∠α≠90°时,木棒a和木棒b不垂直
(斜交)
固定木条a,转动木条b,观察木条b位置发生变化时,∠α的大小变化
注意:垂直是相交的一种特殊情况
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认识垂线
直线a和直线b相交于点O
a
b
α
O
两条直线互相垂直,其中一条直线是另一条直线的垂线,交点为垂足
1
记作:a⊥b或b⊥a
2
∠α=90°,说明a和b互相垂直
垂足:O
注意:两直线垂直时,四个角均为90°
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垂直的表示
已知AB⊥CD,垂足为O,那么∠α=90°
D
A
α
O
C
B
直线AB与CD相交于点O,∠α=90°,
那