During the holidays, Xiao Ming and his classmates went on a treasure hunting trip to an island. According to the treasure map, after landing at point A, they first walked 7 kilometers east and then 4

During the holidays, Xiao Ming and his classmates went on a treasure hunting trip to an island. According to the treasure map, after landing at point A, they first walked 7 kilometers east and then 4 kilometers north.

13

Test question analysis: Make BC⊥AC, the vertical foot is C, as shown in the figure

After landing at point A, walk 7 kilometers east, then 4 kilometers north. After encountering an obstacle, walk west 3 kilometers, then turn north and walk 8 kilometers east. Turn around and find treasure point B after walking only 1 kilometer

According to the known facts, AC=7-3+1=5, BC=4+8=12, in the right triangle ABC, from Pythagorean Theorem is

∴AB= =13

Comments: This question tests the Pythagorean theorem. To answer this question, students need to master the Pythagorean theorem and find the relationship between the lengths of the sides according to the meaning of the question. This question Although it is a big question, it is not difficult