In the plane rectangular coordinate system, the coordinates of point a are (1,0), the coordinates of point B are (- 3, - 3), and point C is a moving point on the y-axis. In order to make the triangle ABC an isosceles triangle, the position of point C that meets the requirements is the same?
3, (0,2 radical 6) (0, - 2 radical 6) (0,2-12-radical 19)
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- 1. In the rectangular coordinate system, a (1,0), B (- 1,0), △ ABC are isosceles right triangles, then the coordinate of point C is ()
- 2. The triangle ABC is an isosceles right triangle, in which the angle a is 90 degrees and the length BC is 6. Establish an appropriate right angle coordinate system, and write out the coordinates of each vertex The abscissa of each vertex is increased by 2, and the ordinate remains unchanged. Compared with the original pattern, what is the change of the pattern? 3. If the abscissa of each vertex in 1 is unchanged and the ordinate is - 1, what is the change of the pattern? 4 the abscissa of each vertex in 1 is - 2, and the ordinate remains unchanged. Compared with the original pattern, what is the change of the pattern
- 3. Let a coordinate (2,1) be an isosceles right triangle at a point B in the rectangular coordinate system, and determine the coordinates of point B Write the reason
- 4. In the rectangular coordinate system, a (1,0), B (- 1,0), △ ABC are isosceles right triangles, AB is the bottom, and the area of △ ABC is 1, then the coordinates of point C are equal
- 5. In the rectangular coordinate system, the vertex a (- 1,5), B (9,5) and point C of the right triangle ABC are on the x-axis, and the coordinates of point C are obtained In the rectangular coordinate system, the vertex a (- 1,5), B (9,5) and point C of the right triangle ABC are on the x-axis, and the coordinates of point C are obtained There are three cases
- 6. As shown in the figure, O is an internal point of △ ABC, a'b'c 'is on OA, OB and OC respectively, and AB / / a'B', AC / / a'B ', verify that △ ABC is similar to △ a "b'c'
- 7. In the isosceles right triangle ABC, o point to OA = 2, OB = 4, OC = 6. Calculate the angle COA = 135 degrees
- 8. In the right triangle ABC, ∠ B = 90 °, OA = OC, OB = 1 / 2Ac On AC
- 9. Given the vector OA = (1, K), the vector ob = (K + 1., 2), and the vector OC = (3,1), if the triangle ABC is an isosceles right triangle, then what is k
- 10. As shown in the figure: vertex a of triangle ABC is on line Mn, triangle ABC rotates around point a, be is perpendicular to Mn at e, CD is perpendicular to Mn at D, and F is the midpoint of BC
- 11. In the plane rectangular coordinate system, the coordinates of point a are (3,4), and B is a point on the X axis. If the triangle ABC is an isosceles triangle, then the coordinates of point B are (3,4) Marked as
- 12. 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,
- 13. 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
- 14. 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
- 15. 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
- 16. 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
- 17. 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,
- 18. 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
- 19. 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!
- 20. 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