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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
Let a (0,4), B (3,0) triangle ABO rotate 90 ° anticlockwise, o point remains unchanged, a, B two points become C (- 4,0), e (0,3), as shown in the figure. Let the expression of linear equation be y = ax + B, find the equation of line ab and line CE AB: y = - 4x / 3 + 4 Ce: y = 3x / 4 + 3, find the coordinates of point F, even if the two lines are equal, calculate X
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- 1. 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
- 2. 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
- 3. 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
- 4. The vertex a of square ABCD coincides with the origin of coordinates, and the coordinate of vertex B is (0,4), then the coordinate of vertex C is ()
- 5. Square ABCD with side length 4, where point a is at the origin, point B is at the positive half axis of X axis, and point D is at the negative half axis of Y axis, what are the coordinates of the four vertices? Such as the title
- 6. A round clock face, clockwise from "12" clockwise rotation () to "1"; clockwise from "3" clockwise rotation 120 degrees to ()
- 7. When the clock face rotates 40 ° clockwise, it is recorded as + 40 ° and what does - 40 ° mean
- 8. On the clock, turn the clock clockwise from the number "12" to "6" for + 1 / 2 cycle, So, what is the number of the clock face that the hour hand refers to after setting the hour hand from "12" for - 1 / 4 week?
- 9. Judgment question: the ratio of the rotation speed of the hour hand and minute hand on the clock face is 1:60
- 10. The minute hand on the clock goes 60 times faster than the hour hand______ ．
- 11. Rotate the triangle ABO 90 degrees counterclockwise around point B
- 12. 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),
- 13. 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?
- 14. 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
- 15. How to rotate a triangle 90 ° anticlockwise around point o?
- 16. How to draw a triangle by turning it 90 ° anticlockwise around its outer point?
- 17. 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
- 18. 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
- 19. 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 (,)
- 20. 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