As shown in the figure, in the rectangular coordinate system, given the points a (- 3, 0), B (0, 4), make continuous rotation transformation for △ OAB, and get △ 1, △ 2, △ 3, △ 4 in turn , then the coordinates of the right angle vertex of △ 2014 are______ ．

It can be seen from the figure that every three triangles are a cycle group, and they cycle in turn, ∵ 2014 △ 3 = 671 and more than 1, ∵ 2014's right angle vertex is the right angle vertex of the first triangle of group 672, which coincides with the right angle vertex of the last triangle of group 671, ∵ a (- 3,0), B (0,4),

RELATED INFORMATIONS

1. In the plane rectangular coordinate system, the coordinates of vertex a of RT △ OAB are (3,1). If △ OAB is rotated 60 ° counterclockwise around point O, and point B reaches point B ', then the coordinates of point B' are______ ．
2. As shown in the figure, there are several points inside the square ABCD. These points and the vertices a, B, C and D of the square ABCD divide the original square into some triangles (not repeating each other) Can the original square be divided into 2008 triangles? How many points are inside the square ABCD One point is divided into four triangles, two points into six squares, and N points into (2n + 2) triangles
3. The side length of square ABCD is √ 2. If the intersection o of AC and BD is taken as the origin and OC is on the positive half axis of X axis, the coordinates of each vertex of square ABCD are
4. On the clock face, turn the hour hand from the number "12" clockwise to "6", and record it as + 1 / 2 cycle. Then - 1 / 4 cycle means that the number of turning the hour hand from "12" counterclockwise is () I'm in a hurry to answer the question as soon as possible,
5. The ratio of the rotation speed of the hour hand to the minute hand on the clock face is () a.1:12. B.1:16 c.60:1 D.1 The ratio of the rotation speed of the hour hand to the minute hand on the clock face is () a.1:12.b.1:16 c.60:1 d.12:1.
6. The minute hand on a clock turns 60 times faster than the hour hand______ (judge right or wrong)
7. What is the speed ratio of the hour hand to the minute hand on the clock face
8. On the clock face, when the minute hand rotates three times, the angle that the hour hand rotates is () A. Right angle B. acute angle C. obtuse angle D. no legal angle
9. How many degrees does the clock rotate from 12 o'clock to 2 o'clock? How many degrees does the minute hand rotate?
10. On the clock, the minute hand rotates one circle, the hour hand rotates () degrees, the minute hand rotates three circles, the hour hand rotates () degrees
11. Draw the right triangle AOB rotated 180 degrees counterclockwise around point o
12. Take a point p outside a right triangle ABC and rotate it 180 degrees counter clockwise. How to draw?
13. Draw a triangle AOB and rotate 90 ° counterclockwise around o point
14. Rotate the triangle 90 ° anticlockwise around point a for the first time, the second time and the third time respectively Rotate the triangle 90 ° anticlockwise around point a each time to draw the first, second and third rotation figures respectively. Use C1, C2 and C3 to represent the position of point C after rotation, and use number pairs to represent it. Connect C, C1, C2, C3 and C in turn to see what the figure is. Speed up
15. In the plane Cartesian coordinate system, when the point a (4,2) is rotated 90 ° counterclockwise around the origin, the coordinate of the corresponding point a 'is____
16. If the line X-Y + (3 ^ - 1) - 1 = 0 is rotated 15 degrees counterclockwise around points (1, 3 ^ - 1), the equation of the line L is?
17. The straight line M: x-2y = 0 rotates 45 degrees counterclockwise around the point P (2,1) to obtain the straight line L, and the equation of the straight line L is obtained
18. Let the equation of the line L1 be x + 2y-2 = 0, and rotate the line L1 90 ° counterclockwise around the origin to get the line L2, then the equation of L2 is______ ．
19. As shown in the figure, it is known that there is a straight line and a curve in the rectangular coordinate system. This straight line, X axis and Y axis intersect at point a and point B respectively, and OA = ob = 1 This curve is a branch of the image of the function y = 2x / 1 in the first quadrant. Point P is any point on this curve, and its coordinates are (a, b). The perpendicular lines PM and PN made from point P to X and Y axes, and the perpendicular feet are m and n. the straight line AB intersects PM and PN at points E and f respectively. (1) it is proved that AF # 8226; be = 1 (2) the coordinates of points E and F are obtained respectively (the coordinates of point e are represented by the algebraic expression of a, and the coordinates of point e are expressed by the algebraic expression of A, Using the algebraic expression of B to express the coordinates of point F, we only need to write the results, not the calculation process); (3) Calculate the area of △ OEF (the result is expressed by the algebraic formula containing a and b); (4) Please prove whether △ AOF and △ BOE are necessarily similar; if not, briefly explain the reasons (5) When the point P moves on the curve y = 2x / 1, △ OEF changes accordingly. Point out the size of the angle whose size remains unchanged among the three internal angles of △ OEF, and prove your conclusion
20. As shown in the figure, the quadrilateral oabc is a right angled trapezoid. It is known that ab ∥ OC, BC ⊥ OC, the coordinates of point a are (3,4), ab = 6. (1) find out the analytic function of the straight line OA; (2) find out the perimeter of the trapezoid oabc; (3) if the moving point P moves along the direction of O ﹥ a ﹥ B ﹥ C (excluding O and C), and the distance of point P is s, write out the coordinates of point p; (expressed by the algebraic formula containing s) (4) if the straight line L passes through point d (3,0), and the line L divides the perimeter of right angle trapezoid oabc into two parts: 5:7