![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Given the points a (- 5,0), B (3,0); (1) find a point C on the y-axis to satisfy s △ ABC = 16, find the coordinates of point C (necessary steps); (2) find a point C on the rectangular coordinate plane, how many C can satisfy s △ ABC = 16? What are the characteristics of these points?
(1) As shown in the figure, ∵ a (- 5,0), B (3,0), ∵ AB = 3 - (- 5) = 3 + 5 = 8, s ∵ ABC = 12ab · co = 12 × 8 · co = 16, the solution is co = 4, when point C is in the positive half axis of Y axis, the coordinates of point C are (0,4), when point C is in the negative half axis of Y axis, the coordinates of point C are (0, - 4); (2) ∵ there are countless points whose distance from X axis is equal to 4, ∵ is there any point in the plane whose area of ∵ ABC is 16 The distance from these points to the x-axis is equal to 4
RELATED INFORMATIONS
- 1. Given the area of △ ABC on the x-axis of points a (0, - 3), B (0, - 4) and C is 1.5, the coordinates of point C are obtained
- 2. As shown in the figure, in the plane rectangular coordinate system, the straight line y = x + 4 intersects with the X axis at a, and intersects with the Y axis at point B, point C (- 2,0) 2. Make OD ⊥ BC intersection AB at point O, and calculate the coordinates of point D; 3. If the line y = kx-k has an intersection with line BD, calculate the value range of K
- 3. In the plane rectangular coordinate system, the coordinate of point a is (√ 3 - √ 2,0), and the coordinate of point C is (- √ 3 - √ 2,0). B is on the Y-axis and s triangle ABC = √ 3, then the coordinate of point B is obtained Help!
- 4. In the plane rectangular coordinate system, a (1,0), B (5,0), point C is on the y-axis, and s △ ABC = 4, find the coordinates of point C
- 5. In the rectangular coordinate plane, make points a (6,0), B (0,8), and find point C on the coordinate axis to make the triangle ABC into an isosceles triangle, Find the coordinates of all points c that meet the conditions,
- 6. Given a (0,2) and B (4,2) in the plane rectangular coordinate system, find a point C on the x-axis so that the triangle ABC is an isosceles triangle. How many points c meet the condition? The standard answer is five, but it is not clear how these five constitute
- 7. It is known that there are two points a (- 1,1) and B (3,2) in the plane rectangular coordinate system. Find the point C on the x-axis so that △ ABC is an isosceles triangle
- 8. If a (- 2,0) and B (- 4,5) are known in the plane rectangular coordinate system, we can find a point C on the x-axis to make the triangle ABC The area of the road is 6
- 9. It is known that a (2,0), B (0,2), the point C in the isosceles triangle ABC is on the X axis, then there are several points of C
- 10. As shown in the figure, in the plane rectangular coordinate system, △ ABC is an isosceles triangle, a (0,2), B (1,0) if the line y = KX + 2K intersects the X axis at point D,
- 11. Given the points a (- 5,0), B (3,0), find a point C on the y-axis so that it satisfies s △ ABC = 16, and find the coordinates of point C
- 12. Isosceles triangle ABC, the bottom BC is on the negative half axis of X axis, point B is at the origin, the area of triangle ABC is 12, BC is equal to 6, find the coordinates of point a As shown in the figure, the isosceles triangle ABC, the bottom edge BC is on the negative half axis of the X axis, and the point B is at the origin. It is known that the area of the triangle ABC is 12, BC is equal to 6, and the coordinates of point a are obtained
- 13. In the rectangular coordinate system, the coordinates of the three vertices of △ ABC are a (1,1), B (3,1), C (1,3), respectively. This paper explores the three vertices of △ def symmetrical about the origin of △ ABC Point coordinates, and determine the analytical formula of line EF
- 14. As shown in the figure, the coordinates of the three vertices of △ ABC in the rectangular coordinate system are a (3,3), B (- 6, m), C (n, - 2), and the edge AB passes through the origin If △ AOD of is folded along the x-axis, then a coincides with the point A & # 39; on the edge of BC, and the coordinates of (1) point A & # 39; and (2) point B and point C are obtained
- 15. For an equilateral triangle ABC with side length 4, establish an appropriate coordinate system and write out the coordinates of each vertex (1) High Ao on y-axis (2) Vertex B is at the origin and edge BC is on the X axis
- 16. As shown in the figure, in the plane rectangular coordinate system, △ ABC is an equilateral triangle, and the side length is 2. If the coordinates of point a are known to be (4,4), and BC is parallel to the axis, then the coordinates of point C are equal The coordinates are () A. (5,4-radical 3) B, (5,4 + radical 3) C, (5,2-radical 3) d, (5,2 + radical 3) Sorry, there is no picture
- 17. Let a (5, - 2) and B (7,3) be known in the triangle ABC, and let the midpoint m of AC be on the Y-axis and the midpoint n of BC be on the x-axis
- 18. It is known that △ ABC ∽ def, the perimeter of △ ABC and △ def are 20cm and 25cm respectively, and BC = 5cm, DF = 4cm. The lengths of EF and AC are calculated
- 19. It is known that △ ABC ≌ Δ def, if the perimeter of △ ABC is 32ab = 9, BC = 11, then de =, EF =, DF=
- 20. In △ ABC and △ def, AB / de = BC / EF = AC / DF = = 4, find the ratio of the perimeter of △ ABC to that of △ def Utilization ratio