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由于圆的几何性质比较明显和突出,适时运用圆的几何性质来解决解析几何中的与圆的有关的题目,能使解题思路简捷、明快,并减少计算量,在求解直线与圆的位置关系中,这种解题理念尤其突出.下面介绍将直线与圆的位置关系化归处理的几个例子,供参考.一、直线与圆相切若直线Ax+By+C=0与圆(x-a)~2+(y-b)~2=r~2相切,则圆心(a,b)到直线Ax+By+C=0的距离d=
As the circular geometry is more obvious and prominent, the timely use of circular geometry to solve the problem of analytic geometry and the circle, can make the problem solving ideas simple, crisp, and reduce the amount of computation, in solving the line and the circle position Relationship, this problem-solving concept is particularly prominent.Refer to the linear relationship between the position of the circle and the return of a few examples for reference.First, the straight line and the circle tangent If the line Ax + By + C = 0 and the circle ( the distance d from the center of the circle (a, b) to the straight line Ax + By + C = 0 is tangent to the line xa) ~ 2 + (yb) ~ 2 = r ~