What is the difference in distance between the starting lines?

The circumference of the first lane of the standard semicircular track and field field is 400m, and its radius has different design schemes, commonly used 36m, etc.

It is related to the width of the track and the distance of the event. For example: the 200-meter starting line is adjacent to two lanes with a difference of d meters; The 400-meter starting line is adjacent to each other, with a difference of 2 d meters.

is pi, d is the width of the track), the calculation of the circumference of the track (the circumference of the first lane): the calculation of the length of the curve, the sum of the lengths of the two curves in the semi-circular track and field, is exactly equal to the circumference of a circle. According to the circumferential formula.

c = 2 r, then the length of the first two curves (calculated line length) is:

2 A curve is long.

Formula. Circle: C = D = 2 R (d is the diameter, R is the radius, ) The perimeter of the triangle c = A + B + C (abc is the three sides of the triangle) Quadrilateral:

c = a + b + c + d (abcd is the length of the side of the quadrilateral) special: rectangle: c = 2 (a + b) (a is long, b is wide) square:

c = 4a (a is the side length of the square).

Polygon: c = sum of all edge lengths.

The distance difference between the starting lines is officially called "the number of extensions", and the distance difference between the number of extensions varies depending on the event.

The number of 200 meters 1-8 lanes is meters,

The number of 400 meters 1-8 lanes is meters,

There are also 800 meters, 4 100 meters and 4 400 meters with reach numbers. I'm telling you what you need.

How many meters does the starting line of each track differ?

The difference is the distance between each run to the track.

JJ Figure X5 records the road to the nine.

The difference between the starting lines of the two adjacent runways = the length difference between the two adjacent runways = the length of the outer runway - the length of the adjacent inner runway.

Solution: There are two semicircles on a 400-meter runway, and the two semicircles have equal radii, which together is a circle.

If the radius of the innermost (i.e. the first lap) is meters, the circumference of the two semicircles of the 400-meter runway is: 2*

If the radius of the second lap is meters, then the circumference of the two semicircles of the 400-meter runway is 2*(

2*(m, so the starting lines on the two adjacent tracks of a lap of 400 meters should be different by meters, and if you run 200 meters, the starting lines should be different by meters.

36+1) 2=74 meters.

74 meters. Each athlete starts off in meters.

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Here is the detailed process:

1) Understand the runway structure: complete runway (four lanes in total, the innermost ring of the runway is 400 meters).

1 What are the components of the observation runway?

2 What are the sums of the length of a lap on the track?

Runway lap length = circumference + 2 straight lengths.

2) Simplification of the study of temporal questions

What is the length of 1 85 96 meters? A straight?

c) Seek a solution:

1 What is the combination of the two semi-circular curves on the left and right?

2 How do you find the gap between adjacent corners? The difference between adjacent corners is actually the difference in the length of whom?

3 Just calculate the circumference of each circle, and calculate how many meters apart from the two adjacent auspicious circles. It is the gap between adjacent runways, that is, the adjacent starting line.

How many meters apart.

4) Hands-on Problem Solving:

1 What do you need to know to calculate the circumference of a circle? (Diameter).

2 The diameter of the first road is 72 6 meters, how much is the second way? What about the third course?

The difference between the adjacent starting lines is 2 5 markings, and the width of the road is 2x'it。It shows that the determination of the starting line is most related to the width of the road.

Calculate the specific length of the difference between adjacent starting lines: 2 5t --2 5 3 14 = 7 85 meters.

For a 400-meter running race, with a track width of 1 5 meters, how many meters should the starting line be advanced?

1 5 2 = 3 3 14 = 9 42 (m).

Fourth, expand and extend. Self-evaluation is a disadvantage.

1 There are still 200 meters of race on the sports field, the width of the road is 1 25 meters, how many meters should the starting line be advanced?

The width of the road is the same as the previous 400 meters, and I can divide the previous calculation of 7 85 meters by 2 to make 3 925 meters.

The 200-meter race is only half of the 400 meters, and if you run a corner, you can use the width directly.

First of all, the distance between the first blind road and the second pure empty road is, and the rest, such as the third and second paths, the fourth and the third road, are all 8m, and so on.

Solution: There are two semicircles on a 400-meter runway, and the two semicircles have equal radius, which together form a circle. If the radius of the innermost circle (i.e. the first lap) is meters, then the circumference of the two semicircles of the 400-meter runway is:

2* The radius of the second lap is meters, then the circumference of the two semicircles of the 400-meter runway is 2*( meters, so the starting line on the two adjacent runways of 400 meters should be different by meters, and if the starting line is 200 meters, the starting line should be different by meters.

How many meters is the difference between the key points of each running draft and the starting line?

Formula Runway width.

x = multiplication sign For example, the width of the runway is meters: the width of the stool is meters.

If you ask how much the 5th course is earlier than the 1st course, it is 5-1 = 4 meters.

And so on.