The problem of finding points in mathematical drawing
Knowing the positions of 0 and root number 3, make a circle with the diameter of the number axis from 0 to root number 3 (we can get the position of their midpoint on the number axis before making this circle), and then take the intersection of two circles with the same radius, so that the distance between the intersection of these two intersections and root number 3 on the number axis is 3/2. Since we know the length of 3/2 and the position of 0, we can do 3. Use compasses to make a circle with a center of 3 and an arbitrary radius. Then we make a straight line perpendicular to this number axis and passing through 3, and make a triangle with two intersections A and B of circle and straight line and 0 on the number axis as vertices, and then connect BC with the midpoint of 0A as c, and its intersection with the number axis is the position of 1.