As shown in the figure, in the rectangular coordinate system, if you fold the rectangle oabc into ob, point a falls at point A1. If OA = root 3 and ab = 1, then the coordinate of point A1 is?

As shown in the figure, in the rectangular coordinate system, if you fold the rectangle oabc into ob, point a falls at point A1. If OA = root 3 and ab = 1, then the coordinate of point A1 is?


Because AB = 1, OA = root 3, and OAB = 90 degrees, AOB = 30 degrees,
From the folding, angle a1ob = angle AOB = angle coa1 = 30 degrees, OA1 = OA = root 3
If a1d is perpendicular to y axis and perpendicular foot is D, a1d = root 3 / 2 and OD = 3 / 2
So, A1 (radical 3 / 2, 3 / 2)



As shown in the figure, O is the origin of the coordinates, the quadrilateral oabc is the rectangle, the coordinates of AC are (10,0) (0,4), and D is the midpoint of OA
The distance between point P and B when ODP is an isosceles triangle with waist length 5


According to the meaning of the title, the coordinates of point D and point P are d (5,0) and P (x, 4) 0 respectively



In the plane rectangular coordinate system, the coordinate of point a is (- 1,2), and the coordinate of point C is (- 1,2)


The coordinates of the symmetric point C of a about X axis are (- 1, - 2)