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P5 maths・5S1

Circles

The centre, radius, diameter and circumference of a circle; every point on a circle is the same distance from the centre; a diameter is twice a radius, and a circle has countless radii and diameters, all the same length; the diameter is the longest segment joining two points on a circle; drawing circles with compasses, where the gap between the points is the radius; and problems with circles in a row.

Key words

ChineseEnglish
圓心centre
半徑radius
直徑diameter
圓周circumference
圓規compasses

The 4 short lessons and the chapter test

Lessons are in Chinese for now.

  1. 圓心、半徑和直徑
  2. 無數條半徑和最長的線段
  3. 用圓規畫圓
  4. 圓的性質
  5. 章節測驗 (chapter test)

Sample questions (in Chinese)

Question 1圖中的點 O 是圓的甚麼?

HKDO
  1. 直徑
  2. 半徑
  3. 圓心
  4. 圓周
Answer and explanation

答案:C.圓心

為甚麼?圓的中心點 O 叫做圓心。

Question 2P 和 G 都是圓上的點,O 是圓心。OP = 11 厘米,OG 長多少厘米?

PGO

OG = 厘米

Answer and explanation

答案:OG = 11 厘米

為甚麼?圓上所有的點跟圓心的距離相同,所以 OG = OP = 11 厘米。

Question 3一個圓的直徑是 29 厘米。它的半徑是多少厘米?

半徑 = 厘米

Answer and explanation

答案:半徑 = 14.5 厘米

為甚麼?半徑是直徑的一半:29 ÷ 2 = 14.5 厘米。

Question 4圖中的三條線段,兩端都在圓上。哪一條最長?

FCDPEAO
  1. EA
  2. DP
  3. FC
  4. 一樣長
Answer and explanation

答案:C.FC

為甚麼?以圓上任何兩點為端點的線段中,經過圓心的線段(直徑)最長。FC 經過圓心 O,所以最長。

Based on learning unit 5S1 of the Education Bureau’s Primary Mathematics Curriculum (2017).

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