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平面解析几何一直线 1.直线过点(6、-2),且与两坐标轴围成的直角三角形面积为3个面积单位,求这直线的方程。 2.根据下列条件写出直线方程,并化成Ax+By+C=0的形式: ①在x轴和y轴上的截距分别是3/2和-3。②经过点P(0,2),倾斜角的正弦等于4/5。③经过点(1,-4),和斜率是2/5的直线垂直。④经过点(4,2),平行于直线2x-7y=0。 3.按照下列条件,计算各点关于各直线的离差脷距离d①A(2,-1),4x+3y+10=0。②B(0,-3),5x-12y-23=0。 4.试判定点M(1,-3)和坐标原点在下列各直线的同侧或异侧:
Plane analytic geometry a straight line 1. Straight line point (6, -2), and with the two axis surrounded by a rectangular area of 3 area units, find the equation of this straight line. 2. Write the equation of the line under the following conditions and convert it to the form Ax + By + C = 0: ① The intercepts on the x and y axes are 3/2 and -3, respectively. ② passing point P (0,2), the sine of the tilt angle is equal to 4/5. ③ After the point (1, -4), and the slope is 2/5 of the vertical line. ④ After the point (4,2), parallel to the straight line 2x-7y = 0. 3. According to the following conditions, the calculation of the various points on the straight line deviation 脷 distance d①A (2, -1), 4x + 3y + 10 = 0. ② B (0, -3), 5x-12y-23 = 0. 4. Trial decision point M (1, -3) and the origin of coordinates in the following line on the same side or different sides: