一、数学二册(上)习题7·2求过点P(2,3),并且在两轴上的截距相等的直线的方程.错解:因为所求直线在两轴上的截距相等,所以可设所求轴方程是ax+ay=1,即x+y=a,又因为所求直线过点P(2,3),所以2+3=a,即a=5,所以,所求直线的方程是x+y=5.剖析:上述解法中,设所求直线的截距式,其中字母 First, mathematics two volumes (above) Problem 7.2 Find the point P(2,3), and the equations of the straight line with the same intercept on the two axes. Misconception: Because of the intercept of the straight line on the two axes Equal, so you can set the axis equation is ax + ay = 1, that is x + y = a, but also because the straight line through the point P (2,3), so 2+3 = a, that is, a = 5, so The equation for the straight line is x+y=5. Analysis: In the above solution, we set the intercept of the straight line, where the letters