Hugging: this problem is also a problem of planting trees on both sides, so when solving the problem, turn the problems on both sides into one side, and then apply the law of planting trees to solve the problem. Trees planted on one side: 3002= 150 (tree), because trees are planted at both ends, the number of segments = tree-1, and the road length is 5*( 150- 1)=745 (m).
Solution: trees planted on one side: 3002= 150 (trees); Road length: 5 * (150-1) = 745m.
This road is 745 meters long.
Olympic Mathematics on planting trees 2 1, a parade, a parade of 30 floats * * *, each car is 4 meters long and each car is 5 meters apart. How long is this railway line? If the team travels 2 meters per second, how long does it take for the train team to pass through the 535-meter-long review yard?
Father and son climbed a hillside with 300 steps together. Father climbs three steps at a time and son climbs two steps at a time. How many steps have the father and son taken from the starting point? A repeated step is only one step.
1, solution: motorcade interval * * * has
30- 1=29 (pieces),
Each interval is 5 meters, so the total length of the interval is
(30- 1)×5= 145 (m)，
The total length of the car body is 30×4= 120 (m), so the total length of the train team is
(30- 1)×5+30×4=265 (m).
The problem and analysis of planting trees in the third grade of primary school: because the team has to travel at a speed of 2 meters per second at 265+535=800 (meters), it needs to go through the inspection site.
(265+535)÷2=400 (seconds) =6 minutes and 40 seconds.
A: The train captain is 265 meters, and it takes 6 minutes and 40 seconds to pass the inspection site.
2. Solution: Because the steps at both ends only step on the top level, according to the known conditions, the number of steps my son has stepped on is
300÷2= 150 (pieces),
The number of steps stepped by father is 300÷3= 100 (one).
Because 2×3=6, father and son should step on one step every six steps, and * * * repeatedly step on 300÷6=50 (1). So the father and son set foot on the steps.
150+ 100-50=200 (pieces).
A: Father and son stepped on 200 steps.
Mathematical olympiad problem 3 1 about planting trees. Q&A on the Application of Mathematical Olympiad in Primary Schools: Planting Trees.
March is a good season for planting trees every year, and there are also interesting math problems in tree planting. The situation of planting trees is different, mainly because the planting route is different. Please have a look and count how many dots and small paragraphs are in each picture below. ("segment" refers to a segment between two adjacent points, also called interval) Then think about the relationship between the number of points and the number of segments.
The line segment of the graph (1) has () points and * * * has () segments.
The line segment in Figure (2) has () points and * * * has () segments.
Figure (3), this circle has () points and * * * has () line segments.
It can be seen that if it is an unclosed line segment, its number of points is more than the number of line segments 1.
If it is a closed circle, rectangle or square, it has as many points as the number of line segments, because the ends of the head and tail overlap.
Olympiad math test questions about tree planting in grade two and four (including answer analysis)
1. circumference around the lake1350m. Plant a willow tree every 9 meters by the lake with two peach trees in the middle. The distance between these two peach trees is (). There are () and () peach trees and willow trees respectively.
Test site: planting trees.
Analysis: Two peach trees are planted between two willows, and the distance between the two peach trees is 9÷(2+ 1)=3 (m); The interval number of willow trees is: 1350÷9= 150 (one), so there are 2× 150=300 (one) peach trees and 150 willow trees.
Solution: Solution: 9÷(2+ 1)=3 (m),
The interval number of willow is: 1350÷9= 150 (1).
Willow:150;
Peach tree: 2× 150=300 (plant);
Answer: The distance between two peach trees is 3 meters. There are 300 peach trees and 0/50 willow trees/kloc.
So the answer is: 3 meters, 300, 150.
Comments: This question examines the problem of planting trees. Knowledge points are: number of trees planted = interval number-1 (both ends are not planted), number of trees planted = interval number+1 (both ends are planted), and number of trees planted = interval number (only one end is planted).
About planting trees. The students of Jintai Primary School participated in the tree planting activities for bidding for the Olympic Games, and 252 trees were planted in Grade 6, 8 of which were less than 5/4 times of the total number of trees in Grade 5. How many trees were planted in the fifth grade?
Train of thought analysis: 8 plants in grade 6 are less than 5/4 times of the total number of plants in grade 5, that is, 8 plants are less than 5/4 times of the total number of plants in grade 6, which is equal to the total number of plants in grade 6. The equivalent relationship is: 5/4 times of the fifth grade -8= the total number of trees planted in the sixth grade.
Solution: Let's plant X trees in the fifth grade. According to the meaning of the question, we can get
5/4x-8=252
5/4x=252+8
x=208
Checking calculation: substitute 208 into the original equation.
Left =5/4x208-8=252
Right =252
Left = right
Is the solution of the original equation.
208 trees were planted in the fifth grade.
Five students from Grade 2 1 Class of Mathematical Olympiad are divided into three groups to plant trees. The first group of 8 people planted 80 trees, the second group of 6 people planted 66 trees, and the third group of 6 people planted 54 trees. How many trees does each person plant?
Answer and analysis: Because the students in Class One, Grade Two, are divided into three groups to plant trees, we can know from the question that the "average range" is three groups, according to the average number of people. So the required conditions are the total number of trees planted in the three groups and the total number of people in the three groups. The total number of three groups of trees is 80+66+54=200 (trees), and the total number of people is 8+6+6=20 (people). Therefore, in two years, each class planted an average of 20020= 10 trees.
(80+66+54)(8+6+6)= 10 (tree)
A: On average, each class has planted 10 trees every two years.