Elementary school math problem tree planting problem, how to write a tree planting problem in mathem

First of all, let's be clear: within the same distance, short number = point tree + 1 then 19 trees are equivalent to 19 points, then there are 20 segments in total.

Each segment is 60 20 = 3 (m).

For example, if there is a line and you draw any point on it, then there is 1 point on the line, which divides the line into two segments. If you draw two dots, it will be divided into three sections, each tree is equivalent to each point, and 19 trees will divide 60 meters into 19+1 segments, so each segment is 60 20 = 3 meters.

Got it? I'm the No. 1 in the province.

Because the distance between the two floors is 60 meters, you have to plant one tree next to building 1 and building 2 (i.e., the first and last tree), and these two trees are not counted in the total distance, but they are counted in the total number of trees, so the distance between the 19 trees at 60 meters is x (19-1) x = 60 x = 60 18 = 20 3

With 19 trees, there are 18 intervals between trees, plus 1 interval between trees and two floors, so there are 20 intervals in total, 60 20 3 (m).

Planting 19 trees in between, means dividing this distance into 20 sections, and the distance between each two trees is 60 20 3 m

Here we study the problem of planting trees on one side of the road:

Planted at both ends: number of trees = road length and plant spacing +1

Do not plant at both ends: number of trees = road length and plant spacing - 1

One end is planted and the other end is not planted: the number of trees = the length of the road and the distance between the plants.

The greatest common divisor between 125 and 50 is 25, 125+50)*2 25=14

So plant at least 14 trees.

Note: Since the rectangle is a closed shape, you do not need to add 1

When a square tree is planted, it has four sides.

That is, the four sides of the square, and when you calculate the distance, the tree at each vertex counts one more time, and there are four vertices.

So subtract 4

In the same way, the same goes for triangular tree planting.

There are three vertices.

So subtract 3

I don't know if you know.

Square Tree Planting Number of Trees Distance Tree Spacing 4

Number of sections) triangle tree planting Number of trees Distance Tree spacing 3

Number of segments) When counting the number of segments, the tree at each vertex counts one more time, and there are four vertices, so you have to subtract four

In the same way, the same goes for triangular tree planting.

There are three vertices.

So subtract 3

That is, when calculating, the four corners of the square are repeatedly calculated four times, and 4 needs to be subtracted

The triangle 3 corners are counted 3 times and need to be subtracted by 3

In a square, there are 4 trees overlapping, and in a triangle, there are 3 trees.

Tree Planting Problem Formula:

Planted at both ends): distance interval length +1 = number of trees.

Plant only one end): distance interval length = number of trees.

Not planted at both ends): distance interval length 1 = number of trees.

1. If trees should be planted at both ends of the tree planting line, then the number of trees planted should be 1 more than the number of sections to be divided, that is: the number of trees = the number of intervals + 1.

2. If there is only one end of the tree planting line to be planted, then the number of trees to be planted and the number of sections to be divided are equal, that is: the number of trees = the number of intervals.

3. If no trees are planted at both ends of the tree planting line, then the number of trees planted is less than the number of sections to be divided by 1, that is: the number of trees = the number of intervals 1.