Slope is a mathematical and geometric term, which is a quantity indicating the inclination of a straight line (or tangent of a curve) relative to a (horizontal) coordinate axis. It is usually expressed by the tangent of the angle between a straight line (or the tangent of a curve) and a (horizontal) coordinate axis, or the ratio of the difference between the ordinate and abscissa of two points.

Slope defines slope, also known as "angle coefficient", which indicates the degree of inclination of a straight line relative to the abscissa axis in a plane rectangular coordinate system.

The tangent value tanα of the inclination angle α of a straight line with respect to the X axis is called the "slope" of the straight line, denoted as k, and the formula is k=tanα. It is stipulated that the slope of the straight line parallel to the X axis is zero, and the slope of the straight line parallel to the Y axis does not exist. For a straight line passing through two known points (x 1, y 1) and (x2, y2), if x 1≠x2, the slope of the straight line is k = (y1-y2)/(x/kloc-0).

The application of slope in mathematics is first from the practical point of view. Slope is what we call slope, which is the average change rate of height. Slope is used to describe the inclination of the road, that is, the ratio of the tangent height of the slope to the horizontal length, which is equivalent to moving one kilometer in the horizontal direction and rising or falling in the tangent direction. This ratio actually indicates the size of the slope. The specific application is as follows:

First, find the inclination of a straight line;

Second, prove the three-point * * * line;

Third, find the range of parameters;

Fourth, find the range (or maximum) of the function;

Fifth, prove the inequality.