Yb提问: 9盒月饼中有1盒质量不同
Ai回答: Step 1: Understand the problem
The problem states that there are 9 boxes of mooncakes, and one of them has a different weight、We need to determine how to identify the box with the different weight.
Step 2: Determine the method for identifying the different box
To solve this, we can use a balance scale、The most efficient way to start is by dividing the 9 boxes into groups to minimize the number of weighings required.
Step 3: Divide the boxes into groups for the first weighing
Divide the 9 boxes into 3 groups of 3 boxes each、Weigh two of the groups against each other、If one side is heavier or lighter, then the different box is in one of those two groups、If they are balanced, the different box is in the third group.
Step 4: Perform the second weighing
Take the group that contains the different box (identified from the first weighing) and divide it into 3 boxes、Weigh 2 of these boxes against each other、If one is heavier or lighter, it is the different box、If they are balanced, the remaining box is the different one.
Step 5: Consider the minimum number of weighings required
From step 3 and step 4, we can see that it takes 2 weighings to identify the box with the different weight.
The final answer is: $\boxed{2}$
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提问时间: 2025-04-26 21:09:00
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