解题---**Explanation/Solution Hint:**
**Title:** 一点就通 (Understand at a glance / Instant Insight)
**Content:**
青蛙每次可以向上跳2米,又向下滑1米,相当于每次只跳1米,最后一次跳出井口就不用向下滑了,也就是说最后一次跳了2米。
我们可以将5米深的井分成两部分:最上面的一部分是2米,一次跳井口;下面的一部分是3米,一次跳1米,一共跳了3次。
**Translation for Clarity:**
A frog can jump up 2 meters each time, and then slides down 1 meter, which is equivalent to an effective jump of only 1 meter each time. For the last jump out of the well, there is no need to slide down, meaning the last jump was 2 meters. We can divide a 5-meter deep well into two parts: the topmost part is 2 meters, which can be covered in one jump to exit the well; the bottom part is 3 meters, where each effective jump is 1 meter, requiring a total of 3 jumps.
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Let's solve this step by step. A frog is at the bottom of a 5-meter deep well. Each time, the frog jumps up 2 meters but then slides back down 1 meter. The question is: how many jumps does it take for the frog to get out of the well?
The key insight is to understand the pattern. Each jump cycle consists of jumping up 2 meters and sliding down 1 meter, giving a net progress of only 1 meter. However, on the final jump, the frog doesn't slide back down because it exits the well. This changes our calculation significantly.
Now let's break down the problem strategically. We can divide the 5-meter well into two parts. The top 2 meters represent the final jump zone, where the frog jumps out without sliding back. The bottom 3 meters represent the regular cycle zone, where each cycle gives a net progress of 1 meter.
Let's calculate step by step. For the bottom 3-meter section, since each cycle gives 1 meter of net progress, we need 3 cycles or 3 jumps. For the top 2-meter section, we need just 1 final jump to exit the well. Therefore, the total number of jumps is 3 plus 1, which equals 4 jumps.
The final answer is 4 jumps. The key insight is to always consider the final step separately in problems like this. The frog needs 3 regular jump cycles to cover the bottom 3 meters, plus 1 final jump to exit the well. This problem teaches us to break down complex scenarios and identify when the pattern changes at the end.