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现行高中教材中给出的直线方程有点斜式、斜截式、两点式和截距式,但这四种形式都不能表示所有位置的直线。点斜式、斜截式依赖斜率,不能表示斜率不存在的直线;两点式和截距式甚至不能表示垂直于坐标轴的直线,在解决两直线的相交、平行、垂直、重合、夹角等问题的运用中显得很不方便,特别是根据两直线的平行或重合求直线方程中的待定系数这类问题,就需要对斜率是否存在进行讨论。直线方程的一般式能够表示任何位置的直线,如果
The current equation of high school textbooks is a bit oblique, oblique cut, two-point and intercept, but none of these four forms represent a straight line at all locations. Point-inclined, oblique-cut depends on the slope, can not represent the slope does not exist straight line; two-point and intercept type can not even represent a straight line perpendicular to the axis, in solving the intersection of two straight lines, parallel, vertical, coincidence, angle And other issues seem very inconvenient to use, especially on the basis of the problem of determining the coefficient to be determined in the parallel or rectilinear straight line equations of two straight lines, it is necessary to discuss the existence of the slope. The general form of a straight line equation can represent a straight line at any position if