In the plane rectangular coordinate system, a (- 2,0), B (0,1), C (0,4), take a, BC three points as the vertex to draw a parallelogram, then the fourth vertex

In the plane rectangular coordinate system, a (- 2,0), B (0,1), C (0,4), take a, BC three points as the vertex to draw a parallelogram, then the fourth vertex


There are three kinds of parallelograms
1. If the parallelogram is ABCD, then the midpoint of AC (- 1,2) is the midpoint of BD, then d (- 2,3)
2. If the parallelogram is acbd, then the midpoint of AB (- 1,1 / 2) is the midpoint of AD, then d (- 2, - 3)
3. If the parallelogram is bacd, then the midpoint of BC (0,5 / 2) is the midpoint of AD, then d (2,5)



In the plane rectangular coordinate system, a (0,0), B (0, - 5), C (- 2, - 2) take these three points as the three vertices of the parallelogram to find the coordinates of the fourth vertex?


(2, - 3) or (- 2,3)



In the plane rectangular coordinate system, the coordinates of points a, B and C are (0,0), (0, - 5), (- 2, - 2) respectively. If these three points are the three vertices of the parallelogram, the fourth vertex cannot be in the third vertex______ Quadrant


If a parallelogram is made with ab as diagonal, AC and BC as sides, the fourth vertex is in the fourth quadrant; if a parallelogram is made with AC as diagonal, AB and BC as sides, the fourth vertex is in the second quadrant; if a parallelogram is made with CB as diagonal, AC and Ba as sides, the fourth vertex is in the third quadrant. Therefore, it is impossible to be in the first quadrant So the answer is: one



In the parallelogram ABCD, the coordinates of vertex a, B, C are (2, - 3, z), (- 1,3,2), (x, y, 2) respectively, and the intersection of diagonal is e (4, - 1,7). Find the coordinates of point D and the values of X, y, Z


If a and C are relative vertices and E is diagonal intersection, we can get (2 + x) / 2 = 4, (- 3 + y) / 2 = - 1, (Z + 2) / 2 = 7, so we can get x = 6, y = - 1, z = 12. Let the coordinates of the points be (E, F, g), we can get
e=2*4-(-1)=9,f=2*(-1)-3=-5,g=2*7-2=12