Question 1
1 mark下列哪一項關於球體（Sphere）性質的敘述是正確的？
Primary School · Mathematics
Spheres (Basic properties): Practice Questions
5 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Spheres (Basic properties).
8 questions14 marksFree, no account
Question 2
1 mark如果用一個平面去截一個球體，所得到的截面形狀必定是什麼圖形？
Question 3
1 mark下圖顯示一個球體及其截面。若球心為點 \( O \)，點 \( A \) 和點 \( B \) 都在球面上，而線段 \( AB \) 經過點 \( O \)，下列哪一項敘述錯誤？
Question 4
1 mark如果我們把一個球從中間切開，觀察它的截面，截面的形狀是什麼？
Question 5
1 mark在一組關於球體的描述中，下列哪一項是錯誤的？
Question 6
3 marks下列關於球的敘述，哪一項是正確的？
(i) 球心到球面上任何一點的距離都相等。
(ii) 球的所有截面都是圓形。
Write your answer out first, then check it against the worked solution.
Question 7
2 marks下列關於球體性質的描述，哪一項是不正確的？
A. 球面上任何一點到球心的距離都相等。
B. 從任何方向切開球體，所得的截面都是圓形。
C. 球體只有一個曲面。
D. 球體的最長線段不一定經過球心。
Write your answer out first, then check it against the worked solution.
Question 8
4 marks考慮一個球體。如果我們將球體從正中間切開，截面的面積會最大。已知這個最大截面圓形的直徑是 \( 10 \) 厘米。
(a) 球心到球面上任何一點的距離是多少？
(b) 如果切開的位置不經過球心，截面的圓形直徑會大於、等於還是小於 \( 10 \) 厘米？
Write your answer out first, then check it against the worked solution.
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