After six days of building a highway, it is more than 120 meters above the midpoint, and the rest will continue to be built at the original speed. It can be completed in five days. How long is the highway?

After six days of building a highway, it is more than 120 meters above the midpoint, and the rest will continue to be built at the original speed. It can be completed in five days. How long is the highway?


The autumn wind is rustling
120÷(6/11-1/2)
=1200×22
= 2640 (m)
A: the total length of this highway is 2640 meters



After 7 days of building a highway, it exceeds 180 meters from the midpoint. At this speed, it can be completed in another 6 days. How many meters is the total length of this highway?


7 / (6 + 7) = 7 / 13
6 / 13 left
More than 180 meters above the midpoint, 7 / 13 is 180 * 2 = 360 meters more than 6 / 13
Total length = 360 / (7 / 13-6 / 13) = 4680m



After eight days of building a canal, it is more than 120 meters above the midpoint. The rest will continue to be built at the original speed and can be completed in six days. How long is the highway?


8-6=2
120÷2=60
60×<6+8>=840



How to explain that the drainage slope is 1%, and how to calculate the drainage slope?
Then how to construct the 1% drainage slope on site


For a meter long pipeline, the downstream is 1 cm lower than the upstream, that is 1%
As for how to construct, you can read the construction manual, or follow the teacher Fu Xuexue. Do you still need to teach such a simple thing?



M V relationship (density, mass, volume)?
Positive and negative comparison


p=m/v
When the density is constant, the mass is proportional to the density
In mass, volume is inversely proportional to density
When the volume density is constant, it is proportional to the mass



The gradient of municipal road is generally 4.9%. Is there any major problem? Has the construction been completed


You can see article 5.4.1 of code for design of urban road engineering cjj37-2012 (generally 1% ~ 2%) and article 6.2.5 of code for design of urban road engineering cjj37-2012
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The mass and volume of a piece of iron are 1.97t and 0.25m3 respectively. What is the density of the iron?


M = 1.97t = 1.97 × 103kg, density of iron: ρ = MV = 1.97 × 103kg, 0.25m3 = 7.88 × 103kg / m3



How to calculate the drainage slope


1. How long is the distance? The range of slope is related to this
2. What is the drainage slope?
3. For urban construction, please refer to China urban planning



The weight of a glass ball is 4.41n in air, 2.94n in water and 3.30n in oil





What is the slope of 1:2.5? How to calculate it?


Arctangent function, but get the radian value. To get the angle value, you can look up the angle corresponding to the tangent 0.4 of trigonometric function table in the table. I drew it with CAD, and the angle is 22 degrees