中點定理 練習

Quiz
•
Mathematics
•
6th - 8th Grade
•
Easy
YT Tsang
Used 1+ times
FREE Resource
8 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
D 及 E 為 AC 及 AB 的中點。若 ∠ACB = 27°,求 ∠ADE。 ( 答案只需輸入數值。)
2.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
D 及 E 為 AC 及 AB 的中點。若 ∠ACB = 72°,求 ∠ADE。 ( 答案只需輸入數值。)
3.
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30 sec • 1 pt
D 及 E 分別為 AC 及 BC 的中點。若 DE = 3,求 AB。
4.
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30 sec • 1 pt
D 及 E 分別為 AC 及 BC 的中點。若 AB = 20,求 DE。
5.
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45 sec • 1 pt
D 為 AC 的中點。若 BE = 6,DE = 7 及 AB = 14,求 CE。
6.
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45 sec • 1 pt
D 為 AC 的中點。若 AE = 12,DE = 8 及 BC = 16,求 BE。
7.
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45 sec • 1 pt
D 及 E 為 AC 及 AB 的中點。若 ∠ACB = 60° 及 ∠AED = 50°,求 ∠BAC。 ( 答案只需輸入數值。)
Answer explanation
BC // ED (中點定理)
∠ADE = 60° (同位角, BC//ED)
在 ∆ ADE,
∠BAC + ∠ADE + ∠AED = 180° (三角形内角和)
∠BAC + 60° + 50° = 180°
∠BAC = 70°
8.
FILL IN THE BLANK QUESTION
45 sec • 1 pt
D 及 E 為 AC 及 AB 的中點。若 ∠ACB = 100° 及 ∠AED = 45°,求 ∠BAC。 ( 答案只需輸入數值。)
Answer explanation
BC // ED (中點定理)
∠ADE = 100° (同位角, BC//ED)
在 ∆ ADE,
∠BAC + ∠ADE + ∠AED = 180° (三角形内角和)
∠BAC + 100° + 45° = 180°
∠BAC = 35°
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