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第四章 几何图形初步
展开1.用尺规作一条线段等于已知线段
3.线段的中点及和、差、倍、分
4.线段的基本事实及两点间的距离
先量出这条线段a的长度,再画出一条的等于这个长度的线段.
第一步:用直尺画射线 AF;
第二步:用圆规在射线 AF 上截取 AB = a.
∴ 线段 AB 为所求.
A F
用尺分别度量出两个同学的身高,将所得的数值进行比较.
让两个同学站在同一平地上,脚底平齐,观看两人的头顶,直接比出高矮.
比较线段AB,CD的长短.
分别测量的长度AB,CD,发现AB
1. 若点 A 与点 C 重合,点 B 落在C,D之间,那么 AB_____CD.
2. 若点 A 与点 C 重合,点 B 与点 D ,那么 AB = CD.
3. 若点 A 与点 C 重合,点 B 落在 CD 的延长线上,那么 AB __CD.
经过比较,我们可以得到一个关于线段的基本事实:
两点的所有连线中,线段最短.
简单说成:两点之间,线段最短.
连接两点间的线段的长度,叫做这两点的距离.
1.尺规作图的工具是( )A.刻度尺和圆规B.三角尺和圆规C.直尺和圆规D.没有刻度的直尺和圆规
2.如果点B在线段AC上,有下列各式:①AB=0.5AC;②AB=BC;③AC=2AB;④AB+BC=AC.其中能表示点B是线段AC的中点的有( )A.1个 B.2个 C.3个 D.4个
3.下列说法中正确的是( )A.两点之间,直线最短B.线段MN就是M,N两点间的距离C.在连接两点的所有连线中,最短的连线的长度就是这两点间的距离D.从武昌到广州,火车行驶的路程就是武昌到广州的距离
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