Converting the general equation into a parametrized equation
In web novels, it was common to encounter situations where a general equation needed to be converted into a parametrized equation. This transformation not only made it easier for readers to understand, but also increased the interest and interaction of the article. Generally speaking, the method of transforming a general equation into a parametrized equation mainly depended on the specific form of the equation. The following are some common situations and conversion methods:
###Straight line equation
** General equation **:$Ax + By + C = 0$
** Param equation **: You can choose a param $t$and then represent the functions of $x$and $y$as $t$. For example, if the slope of a straight line exists, you can set $x = x_0 + t\cos\beta $,$y = y_0 + t\sin\beta $, where $(x_0, y_0)$is a point on the straight line, and $\beta $is the tilt angle of the straight line.
###The equation of a circle
** General equation **:$(x-a)^2 + (y-b)^2 = r ^2 $
** The equation of parameters **:$x = a + r
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