PN2

Shortest Path

最短路径

Path / 路径
Grades G4 - G7
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What It Looks Like

Recognition signals — when you see these, think of this structure:

  • 1Grid or network with weighted paths
  • 2Questions about minimum distance or time
  • 3Navigation or routing problems
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What It Really Tests

The core mathematical idea behind this structure:

Find the path with minimum total distance or cost between two points.

找到两点之间总距离或成本最小的路径。

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Why Students Get Stuck

Common mistakes to watch out for:

  • Only trying obvious paths
  • Not considering all possible routes
  • Confusing shortest path with most direct path
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Your First Step

How to begin thinking about problems with this structure:

Systematically try paths, keeping track of minimum distance found so far.

系统地尝试路径,跟踪迄今为止找到的最小距离。

Related Structures

These structures share similar patterns or thinking approaches: