Idea: Look for something special. It is known that AB=2, BC= 1, AC= 1.7 (root number 3).
1, when x=0, that is, AD=0, point d is at a .. at this time, y (CE) is closest to AC. The y coordinate is 1.7. So rule out option d.
2. when x= 1, AD= 1, CD= 1. In the Rt triangle CDE, the angle DCE=30 degrees, so at this time CE = 1. 1 (2/3 root number 3), and the Y coordinate is 65438.
3. When X approaches 2, DE and AC tend to be parallel, so Y approaches infinity at this time, so option C is excluded.
The final correct answer is B.
(As for the changing trend between 0 and 2, you can take a look at it more often.)