下图显示了空杯时的质量,以及在杯中放入物体 A、B 和 C 的不同组合时的质量。

- (a)
空杯子的质量是多少?
答:(a) ___
- (b)
物体 A 的质量是多少?
答:(b) ___
- (c)
物体 A、B 和 C 的平均质量是多少?
答:(c) ___
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完整解法
9(a)
1. Read the mass of the empty cup directly from the first bar on the graph
From the graph, the height of the first bar (empty cup) is .
9(b)
1. Find the combined mass of each pair of objects by subtracting the mass of the empty cup.
Mass of A + B = g
Mass of A + C = g
Mass of B + C = g
2. Find the total mass of A, B, and C, and then find the mass of A.
Sum of the three pairs: g
Total mass of A + B + C = g
Mass of A = Total mass - (Mass of B + C) = g
g
9(c)
1. Find the mass of each pair of objects by subtracting the mass of the empty cup.
Mass of A + B =
Mass of A + C =
Mass of B + C =
2. Sum the masses of the three pairs to find the total mass of A, B, and C.
Sum of the three pairs =
Since each object is counted twice in this sum:
3. Calculate the average mass of the three objects.
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