4.2线段长短的比较课件[北师大版版七年级上].ppt
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我比你高!
你哪有我高啊!
服了吧!
喔,原来你比我高!
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考考你的眼力
A
B
C
D
线段AB和线段CD哪一条长?
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点D在AB的延长线上
点D与B重合
点D在AB上
ABCD
AB=CD
ABCD
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例题1:如图,已知线段a, 用圆规和直尺画出线段AB , 使得AB=a
解:
1 、画射线AC;
2 、在射线AC上截取AB=a
线段AB就是所要画的线段。
以点A为圆心,a为半径画弧,交射线AC于点B
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二、新课
1、(1)根据图填空
A·
B
C
D
(2)点B具有什么特殊位置?你能给它命名吗?并说出这一位置的特征.
BC
CD
BC
CD
AB
CD
AC
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如图
点M把线段AB分成相等的两条线段AM与BM,点M叫做线段AB的 。(midpoint)
AM MB 1/2AB
=
=
中点
M·
反过来若M是AB的中点则有 AM= MB
=1/2AB
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(1)
小明到小英家有三条路可走,如图,你认为走那条路最近?
(2)
(3)
答:走第(2)条路最短。
理由:两点之间的所有连线中,线段最短。
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在一条直线上顺次取A、B、C三点,使AB=5cm,
BC=2cm,并且取线段AC的中点O,求线段OB的长。
A
B
C
O
解:
AC=AB+BC=5+2=7cm
OB=AB-AO=5-3.5=1.5cm
(或OB=OC-BC=3.5-2=1.5cm)
答:线段OB的长等于1.5cm.
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1、两点之间的所有连线中 最短。
2、两 点 之 间 线 段 的 长 度, 叫做 。(distance)
线段
这两点之间的距离
可得到以下结论 :
线段的公理
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