尺规作图是几何的基本训练内容,有助于学生形成空间知觉。国际学校也是要做这方面的训练的。英文中尺规对应的单词是straightedge和compass。A compass is a tool that can draw circles and arcs of circles. A straightedge is an unmarked ruler that can draw line segments.

下面看看这方面的训练题吧,先看英文要求再看翻译。建议带娃练习练习,我们给出作图痕迹供参考。

1. Construct an angle bisector. 画角平分线

2. Construct a perpendicular bisector.画线段垂直中线

3. Construct a perpendicular from a point to a line. 过一点做垂线

4. Construct a triangle with side lengths a, b, and c.给定3边做三角形

5. Partition a line segment into n different parts. n等分线段

以5等分为例

6. Construct a tangent to a circle. 作圆的切线

任意作一切线

7. Construct common tangents to two circles. 作两圆的共同切线

只作一条供参考,共有4条切线

8. Construct a square circumscribed on a circle.

9. Construct a regular hexagon inside a given circle.

本题请参考我们之前的文章。

还有几道复杂些的练习题我们下期再做。

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