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Geometric meaning of t in linear parametric equation
The geometric meaning of the linear parametric equation T is that |t| is the distance from any point M(x, y) to M0(x0, y0) on a straight line, that is |M0M|=|t|. The geometric meaning of t is mainly reflected in the linear parameter equation.

Parametric equation is a mathematical term, similar to a function: all numbers in a specified set are called parameters or independent variables, which determine the result of the dependent variable. For example, kinematics, the parameter is usually "time", and the result of the equation is speed, position and so on.

Common parameter equation circle:

Ellipse:

Hyperbola:

Parabola: