The ABC coordinate of triangle is known as a (- 6,4) B (- 3,6) C (- 1,2). Rotate the triangle 90 ° clockwise around point C 1. Find the coordinates of a and B after rotation 2. Calculate the area of the rotated figure ABCA
A''(1,7)B''(3,4) S=(4+6)X3/2+(7+6)X4/2-(2+4)X5/2-(7+2)X2/2=17
RELATED INFORMATIONS
- 1. How to draw a triangle by turning it 90 ° anticlockwise around its outer point?
- 2. How to rotate a triangle 90 ° anticlockwise around point o?
- 3. Draw any △ ABC and make the following rotation: (1) with a as the center, rotate the triangle 40 ° counterclockwise (2) Take B as the center, rotate the triangle clockwise by 60 ° (3) take a point outside the triangle as the center, rotate the triangle clockwise by 120 ° (4) take the midpoint of AC as the center, rotate the triangle 180 ° to get the picture! Hurry
- 4. If a triangle is rotated 90 ° counterclockwise around a vertex, will each corresponding line segment in the original graph and the rotated graph be perpendicular to each other? Is there such a theorem?
- 5. As shown in the figure, rotate the right triangle abd 90 counterclockwise around the right vertex a to the position of the triangle ACF. The triangle abd is equal to the triangle ACF. The extension of BD intersects CF with point E and connects BC. If the angle FBE = angle CBE, try to determine the relationship between CE and BD (including the position relationship and quantity relationship),
- 6. Rotate the triangle ABO 90 degrees counterclockwise around point B
- 7. As shown in the figure, in the coordinate system, point a (0,4), point B (3,0), rotate the triangle ABO point 90 degrees counterclockwise, so that a falls on the x-axis, point C, and point B falls on the y-axis, point E, connecting CE AB is equal to F. we know that AB is equal to 5
- 8. As shown in the figure, in the coordinate system, point a (0,4) and point B (3,0) rotate △ ABO counterclockwise around point o 90 ° so that point a falls on point C on the x-axis and point B falls on point E on the y-axis (1) Verification: AE = oc-ob; (2) find the length of CF
- 9. As shown in the figure, in the plane rectangular coordinate system, ob is on the x-axis, ∠ ABO = 90 ° and the coordinates of point a are (1,2). Rotate △ AOB 90 ° counterclockwise around point a, and the corresponding point C of point O just falls on a branch of hyperbola y = KX. (1) find the analytic formula of hyperbola. (2) the intersection of the straight line passing through point c y = - x + B and the hyperbola is e, and find the coordinates of point E and the area of △ EOC
- 10. Given a (0,4), B (3,0), P (1,0), in the rectangular coordinate system, O is the origin, and the triangle AOB rotates m counterclockwise around point P (M is greater than 0) Less than 180, get the triangle a1ob1, make the point B1 fall on the edge of the triangle AOB, calculate the coordinates of point B1
- 11. A (- 1,0) B (- 1,1), then the coordinates of a and B of the triangle ABO after rotating 45 degrees clockwise A and B coordinates when rotating 135 degrees clockwise
- 12. Given that the coordinates of point P are (1,1), if point P is rotated 15 ° counterclockwise around the origin o of coordinates to get point Q, then the coordinates of point q are (,)
- 13. The coordinates of point Q obtained by rotating point P (2,0) 90 ° counterclockwise around the origin o are____ 1. Point P (- 5,1-t) and point Q (k, 4) are symmetric with respect to the origin Then the value of 3k-2t is () A.-25 B.25 C.5 D.-5
- 14. Point P (- 3,1) the coordinates of the point obtained by rotating point P 90 ° around the origin are? (in two cases, clockwise and counterclockwise)
- 15. The equation of a straight line with y = 2x + 1 rotated 90 degrees anticlockwise and passing through point (1,2)
- 16. If the line y = x + 3-1 is rotated 15 ° counterclockwise around a point (1, 3) above it, the equation of the line is______ .
- 17. The abscissa of a point P on the line X-Y + 1 = 0 is 3. If the line rotates 90 ° counterclockwise around the point P to get a line L, then the equation of line L is______ .
- 18. Given that the line x = 2Y + 2, how can we know the linear equation that the line rotates 90 degrees (such as counterclockwise), if we can, rotate any angle
- 19. The pointer rotates clockwise from 12 around point 0 () to "3" The pointer rotates clockwise from 12 around point 0 () to "3" The pointer rotates 180 ° clockwise from 3 around point 0 to () The pointer rotates 90 ° clockwise from 5 around point 0 to () A cuboid is 6cm long, 4cm wide and 5cm high. Its surface area is () square centimeter Its volume is () cubic centimeter The length, width and height of a cuboid are 8 decimeters, 3 decimeters and 5 decimeters respectively. The total length of its edges is () decimeters, and the formula is () A cuboid has a bottom area of 10 square meters, a height of 3.6 meters and a volume of () cubic meters The edge of a cube is 6 decimeters long, and its surface area is () square decimeters
- 20. The pointer starts from "12" and points to 1 after clockwise rotation of () degrees