Slope: it is the angle between the slope and the horizontal plane (mainly angle).

Slope angle: mainly refers to the angle between the slope and the horizontal plane (mainly refers to the angle itself).

Slope and Slope Angle

When learning acute trigonometric functions, the term over-slope appears.

When repairing dikes, building dams, opening canals and digging rivers, we often need to indicate the degree of slope inclination. Signs of slopes can often be seen on signs beside uphill roads. In fig. 2, the ratio of the vertical height h to the horizontal width l of the slope is called the slope of the slope. If I is used to represent the slope, I = h/L. As can be seen from the meaning of slope, "slope" is a ratio, which does not represent an angle.

We call the angle between the slope and the horizontal plane the slope angle. If expressed by α, we can know that the relationship between slope and inclination angle is i=h/l=tanα.

Because at 0

It can be seen that the slope angle represents an angle and the slope represents the tangent function of this angle. The difference between the two is obvious.

In daily life, we often understand the angle of a slope as a slope. For example, if it is difficult for a car to go uphill, we will say, "This hillside is too steep." This sentence actually means "the slope angle of this hillside is too big", but it is not said in life. Therefore, it is easy to bring this misunderstanding into mathematics learning and confuse the two different concepts of slope and slope angle.