问题描述：
英语翻译
Consider the straight line defined by the equation 3x − 4y = 12.
(a) Find the area of the triangle determined by the coordinate axes and the given
line.(5 point)
(b) Determine the coordinates of the point on the given line that is closest to the
origin.(5 points)
Consider the straight line defined by the equation 3x − 4y = 12.
(a) Find the area of the triangle determined by the coordinate axes and the given
line.(5 point)
(b) Determine the coordinates of the point on the given line that is closest to the
origin.(5 points)
问题解答：
我来补答
已知直线方程3x − 4y = 12
（a)求直线与坐标轴所确定得三角形的面积（5分）
（b)求直线上的点与坐标轴原点的最近距离（5分）
(a)y=3/4x-3
s=1/2xy=3/8x^2-3/2x
(b)ab即最短距离
s=1/2*3*4=1/2*5*ab
ab=12/5
（a)求直线与坐标轴所确定得三角形的面积（5分）
（b)求直线上的点与坐标轴原点的最近距离（5分）
(a)y=3/4x-3
s=1/2xy=3/8x^2-3/2x
(b)ab即最短距离
s=1/2*3*4=1/2*5*ab
ab=12/5
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