Using Pythagorean Theorem to find the shortest path length is a hot issue in Grade Eight Mathematics (I). This kind of problem usually includes the shortest path problem of plane and three-dimensional graphics and the comparison of the shortest path length by calculation. This kind of problem can be solved by geometric transformation and Pythagorean theorem.

There are usually four kinds of questions to find the shortest path length by using Pythagorean theorem skillfully. Next, let's take a look at the questions that are often tested in this part of the exam:

Problem 1: Find the shortest plane problem by calculation method.

Question 2: Solving the shortest plane problem by translation method.

Question 3: Solving the shortest plane problem by symmetry method.

Question 4: Find the shortest problem in three-dimensional graphics by expansion method.

The shortest problem in a cylinder

The shortest problem in a cone

Shortest problem in cuboid 1

Finding the shortest path in three-dimensional graphics is usually solved by expanding three-dimensional graphics or finding symmetrical points. It should be noted that the shortest path problem in a cuboid needs to be discussed in different situations when expanding the graph.