Given the two vertices a (4.7) B (- 2.6) of the triangle ABC, find the coordinates of point C such that the midpoint of AC is on the x-axis and the midpoint of BC is on the x-axis
(2,-7)
RELATED INFORMATIONS
- 1. Given two vertices a (- 3,7), B (2,5) of triangle ABC, the midpoint of tangent AC is on the x-axis, and the midpoint of BC is on the y-axis, then the coordinate of vertex C is?
- 2. If the midpoint of AC is on the x-axis and the midpoint of BC is on the y-axis, then the coordinate of C is () A. (2,-7)B. (-7,2)C. (-3,-5)D. (-5,-3)
- 3. As shown in the figure, in the plane rectangular coordinate system, given the area of points a (- 5,0), B (3,0), △ ABC is 12, try to determine the coordinate characteristics of point C
- 4. Given a (- 5,0), B (3,0) and C on the y-axis, the area of the triangle ABC is 12, the coordinates of C can be obtained
- 5. As shown in the figure, in the plane rectangular coordinate system, given the area of points a (- 5,0), B (3,0), △ ABC is 12, try to determine the coordinate characteristics of point C
- 6. Given that point a (- 5,0) B (3,0) point C is on the Y axis, and the area of triangle ABC is 12, the coordinate of point C is?
- 7. What is the coordinate of ABC area 12 and C on Y-axis of a (- 5,0) B (3,0) triangle Point a (- 5,0) point B (3,0) triangle ABC area 12, What is the coordinate of C on the Y axis How many are there at point C Coordinate characteristics of point C
- 8. Given that the area of triangle ABC is 5, a (1,2), B (4,6), find the trajectory coordinates of vertex C
- 9. In the plane rectangular coordinate system, s △ ABC = 48 ∠ ABC = 45 ° BC = 16, calculate the coordinates of each vertex of △ ABC A is on the positive half axis of Y axis B is on the negative half axis of X axis C is on the positive half axis of X axis
- 10. According to the conditions, judge whether the angle ABC is an acute triangle, a right triangle or an obtuse triangle. (1) angle a = 76 degrees, angle B = 89 degrees. (2) angle a-angle B = angle C (3) Angle a = 20 degrees, angle B = 3, angle c
- 11. Triangle ABC, a (5, - 2), B (7,3) are known, and the midpoint m of AC is on the Y axis, and the midpoint n of BC is on the X axis. Q: 1. The coordinates of vertex C; 2. The equation of line Mn
- 12. Let a vertex of △ ABC be a (3, - 1), the bisector equations of ∠ B and ∠ C be x = 0 and y = x respectively, and then the equation of the straight line BC is obtained
- 13. As shown in the figure, it is known that a is a point in the acute angle mon. Try to determine points B and C on OM and on respectively to minimize the perimeter of △ ABC, and explain the reason
- 14. As shown in the figure, it is known that point a is a point in the acute angle ∠ mon. Try to determine point B and point C on OM and on respectively, so as to minimize the perimeter of △ ABC. Explain the reason
- 15. 23. As shown in the figure, it is known that point a is a point in the acute angle ∠ mon. Try to determine point B and point C on OM and on respectively, so as to minimize the perimeter of △ ABC
- 16. As shown in the figure, it is known that point a is a point in the acute angle ∠ mon. Try to determine point B and point C on OM and on respectively to minimize the perimeter of △ ABC As shown in the figure, it is known that point a is a point in the acute angle ∠ mon. Try to determine point B and point C on OM and on respectively to minimize the perimeter of △ ABC, and explain the reason
- 17. As shown in the figure, given that point a is a point in the acute angle ∠ Mon, try to determine point B and point C on OM and on respectively, so as to minimize the perimeter of △ ABC. Write down the main steps of your drawing and mark the points you determine______ (required to draw a sketch and keep traces)
- 18. As shown in the figure, the vertex ab of equilateral triangle ABC with side length of 6 and ∠ mon = 60 ° is on OM and on respectively, and point P is the intersection of bisector of ∠ BAC and ∠ ABC
- 19. Given ∠ AOB and ray OC, OM and on divide ∠ AOC and ∠ BOC equally. (1) if OC is outside ∠ AOB, try to explore the relationship between ∠ mon and ∠ AOB. (Fig. 2) (2) if OC is inside ∠ AOB, what is the relationship between ∠ mom and ∠ AOB? (Figure 1)
- 20. If OC is outside the angle AOB, try to explore the relationship between the angle mon and the angle AOB. (2) if OC (2) if OC is in angle AOB, what is the relationship between angle mon and angle AOB?