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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
2008 = 2n + 2 n = 1003 (square ABCD internal points.)
As shown in the figure, the side length of square ABCD is √ 2, a is the coordinate origin, and point C is on the positive half axis of y-axis. Find the coordinates of a vertex
A﹙0,0﹚B﹙1,1﹚,C﹙0,2﹚D﹙-1.1﹚
Or a (0,0) B (- 1,1), C (0,2) d (1.1)
As shown in the figure, it is known that the square ABCD with side length of 1 is located in the first quadrant, and the vertices a and D slide on the positive half axis (including the origin) of X and Y respectively, then the maximum value of ob · OC is______ ．
As shown in the figure, for example, in the figure \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\sθ + sin θ) = 1 + sin 2 θ, ｜ ob · OC So the answer is 2
RELATED INFORMATIONS
- 1. 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
- 2. 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,
- 3. 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.
- 4. The minute hand on a clock turns 60 times faster than the hour hand______ (judge right or wrong)
- 5. What is the speed ratio of the hour hand to the minute hand on the clock face
- 6. 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
- 7. How many degrees does the clock rotate from 12 o'clock to 2 o'clock? How many degrees does the minute hand rotate?
- 8. 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
- 9. On the clock face, the minute hand turns one circle, and the hour hand turns () degrees?
- 10. How many degrees clockwise can the minute hand of the clock coincide with the hour hand from the 4 o'clock position?
- 11. 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______ ．
- 12. 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______ ．
- 13. Draw the right triangle AOB rotated 180 degrees counterclockwise around point o
- 14. Take a point p outside a right triangle ABC and rotate it 180 degrees counter clockwise. How to draw?
- 15. Draw a triangle AOB and rotate 90 ° counterclockwise around o point
- 16. 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
- 17. 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____
- 18. 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?
- 19. 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
- 20. 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______ ．