As shown in the figure, a cuboid empty pool AB = 10cm, BC = 5cm, BB '= 6cm is located at P of ABB' a 'on the inner wall (the distance from the point to AB and BB' is 1cm) As shown in the figure is a cuboid empty pool, ab = 10cm & nbsp; & nbsp; BC = 5cm & nbsp; & nbsp; BB '= 6cm. There is a gecko on the inner wall of ABB' a '(the distance from point to AB and BB' is 1cm). It wants to eat the fly on the inner wall of CDD 'C' (the distance from point Q to CD and DD 'is 3cm), and find the shortest path from point P to point q? & nbsp;

As shown in the figure, a cuboid empty pool AB = 10cm, BC = 5cm, BB '= 6cm is located at P of ABB' a 'on the inner wall (the distance from the point to AB and BB' is 1cm) As shown in the figure is a cuboid empty pool, ab = 10cm & nbsp; & nbsp; BC = 5cm & nbsp; & nbsp; BB '= 6cm. There is a gecko on the inner wall of ABB' a '(the distance from point to AB and BB' is 1cm). It wants to eat the fly on the inner wall of CDD 'C' (the distance from point Q to CD and DD 'is 3cm), and find the shortest path from point P to point q? & nbsp;


According to the theorem of the shortest line between two points, the cuboid can be expanded,
Connect PQ, then PQ is the shortest
Then make QE ⊥ a'B 'and PE ∥ a'B' so that QE and PE intersect at point P,
Then QE ⊥ PE,
Because the distance from point P to AB and BB 'is 1cm, and the distance from point Q to CD and DD' is 3cm, ab = 10cm, BC = 5cm, BB '= 6cm,
So PE = 10-1-3 = 6cm, de = 3 + 5 + 1 = 9,
So PQ ^ 2 = PE ^ 2 + de ^ 2 = 36 + 81 = 117,
So PQ = √ 117 = 3 √ 13cm
☆⌒_ - [hope to help you~