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Take a (0,0), B (4,0) C (2,3) as the vertex to draw a parallelogram and the coordinates of the fourth vertex D of the ball
Three possibilities,
1, take AB side as diagonal, then d (6,3)
2, taking AC side as diagonal, then d (- 2,3)
3, taking BC side as diagonal, then d (2, - 3)
As shown in the figure, ABC is the three vertices of a parallelogram, and the coordinates of ABC are (3,4) (7,1) (5,5). Draw a parallelogram in the figure and write the coordinates of its fourth vertex directly
If it's not easy to draw, it's unnecessary
We'll find the fourth point (x, y)
If AB is diagonal, then 3 + 7 = 5 + X, 4 + 1 = 5 + y (5,0)
If AC is diagonal, then 3 + 5 = 7 + X, 4 + 5 = 1 + y (1,8)
If BC is diagonal, then 7 + 5 = 3 + X, 1 + 5 = 4 + y (9,2)
Given the points a (2,0), B (- 12,0) and C (0,1), draw a parallelogram with three points a, B and C as the vertices. Then the fourth vertex cannot be in ()
A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant
According to the properties of the edges of a parallelogram, the opposite edges are equal. We can know that the coordinates of another vertex can be: (112, - 1) or (212,1) or (- 212,1).. it is not in the third quadrant. So we choose C
RELATED INFORMATIONS
- 1. Take three points a, B and C which are not on the same line as the three vertices to make parallelograms with different shapes. A total of () A. 1 B. 2 C. 3 d. 4
- 2. How many parallelograms can be made by taking three points not on the same line as three vertices?
- 3. 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
- 4. The coordinates of vertex a, B, D of parallelogram ABCD are a (0,0), B (2,2), D (4, - 3), respectively. Find the coordinates of point C and the area of parallelogram ABCD
- 5. In the parallelogram ABCD, ∠ a = ∠ C, ∠ B = ∠ D, is the quadrilateral ABC a parallelogram Why?
- 6. As shown in the figure, the quadrilateral ABCD is a parallelogram, ∠ ADC = 125 ° and ∠ CAD = 21 ° to calculate the degree of ∠ ABC and ∠ cab
- 7. It is known that: as shown in the figure, in the rectangular coordinate system xoy, one side of RT △ OCD OC is on the X axis. ∠ C = 90 °, point D is in the first quadrant, OC = 3, DC = 4, and the image of the inverse scale function passes through the midpoint a of OD. (1) find the analytical formula of the inverse scale function; (2) if the image of the inverse scale function intersects with the other side of RT △ OCD DC at point B, find the analytical formula of the straight line of a and B
- 8. When m is the value, the focus of the line y = 5x + m on the line y = 3x-4 is on the x-axis?
- 9. As shown in the figure, the functional relations of lines OC and BC are Y1 = x and y2 = - 2x + 6, respectively. The moving point P (x, 0) moves on ob (0 < x < 3), and the line m passing through point P is perpendicular to the X axis. (1) find the coordinates of point C, and answer when x takes what value, Y1 > Y2? (2) Let the area of the left part of the line m in △ cob be s, and the functional relationship between S and X is obtained. (3) when x is what, the line m bisects the area of △ cob?
- 10. Given the function y = Y1 + Y2, and Y1 = 2x + m, y2 = x / (m-1) + 3, the ordinate of the image focus of the two functions Y1 and Y2 is 4
- 11. There are several parallelograms whose vertices are three points a, B and C which are not on a straight line A. 1 B.2 C.3 D.4
- 12. If it is known that a, B and C are not on the same line, then the parallelogram with the three points as the vertex has the same property
- 13. In the quadrilateral ABCD, it is known that angle A and angle c complement each other, and angle B is 15 degrees larger than angle D, then angle B =? Angle d =?
- 14. If in the quadrilateral ABCD, the degree of a + C is equal to () A. 108°B. 180°C. 144°D. 216°
- 15. In quadrilateral ABCD, angle A and angle c complement each other. If angle A and angle B are equal to 6:4:5 than angle D, calculate the degree of angle C Urgent````
- 16. Given a (0,3), B (- 1,0), C (3,0), the coordinates of point D are determined to make the quadrilateral ABCD an isosceles trapezoid
- 17. Given the vertices a (0, - 9), B (2,6), C (4,5) of the parallelogram ABCD, we can find the coordinates of the fourth fixed point D
- 18. In the plane rectangular coordinate system, a (1,3), B (2,1), OA ‖ BC, OC ‖ AB, try to use the knowledge of translation to find the coordinate of point C
- 19. As shown in the figure, the parabola y = 1 / 2x + MX + n (n ≠ 0) intersects the straight line y = x with two points AB, intersects the Y axis with points c, OA = ob, BC parallel to the X axis (1) The analytic formula of parabola (2) Let D and E be the two moving points on the line AB which are different from a and B (point E is above point d) de = root 2. Let D and E be parallel lines of Y axis, intersecting parabola and points F and g respectively. Let the abscissa of d be x and the area of quadrilateral degf be y. find the analytic expression of y about X, write out the value range of independent variable x, and find the maximum value of y when x is the value
- 20. As shown in Figure 1, in the quadrilateral ABCD, AB is perpendicular to ad, CD is perpendicular to ad, and BC is rotated 90 ° counterclockwise around point B to get the line segment be, connecting AE and Ce (1) As shown in Figure 1, in the quadrilateral ABCD, AB is perpendicular to AD and CD is perpendicular to AD. rotate BC 90 ° counterclockwise around point B to get the line segment be and connect AE and Ce (1). If AB = 2cm and CD = 3cm, calculate the area of triangle Abe