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?
A very simple problem of mathematical equations, let C (x, y) and then according to the midpoint formula 7 + y = 0,2 + x = 0 (according to the abscissa 0 on the Y axis and the ordinate 0 on the X axis), so the C coordinate is (- 2, - 7)
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- 1. 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)
- 2. 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
- 3. 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
- 4. 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
- 5. 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?
- 6. 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
- 7. Given that the area of triangle ABC is 5, a (1,2), B (4,6), find the trajectory coordinates of vertex C
- 8. 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
- 9. 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
- 10. 1. In triangle ABC, angle a-angle B = angle c, then this triangle is a right triangle? (judgment) 2. A conical grain bin has a bottom circumference of 6.28 meters and a height of 0.9 meters. If it is installed in a cylindrical grain bin with a bottom radius of 2 meters, how high can it be stacked?
- 11. 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
- 12. 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
- 13. 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
- 14. 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
- 15. 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
- 16. 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
- 17. 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
- 18. 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)
- 19. 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
- 20. 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)