(20 13? Jingzhou) As shown in the figure, in the plane rectangular coordinate system, the straight line y=-3x+3 intersects with the X axis and the Y axis at points A and B, with AB as the edge, and wo

(20 13? Jingzhou) As shown in the figure, in the plane rectangular coordinate system, the straight line y=-3x+3 intersects with the X axis and the Y axis at points A and B, with AB as the edge, and works in the first quadrant. Solution: Let CE⊥y axis be at point E, hyperbola be at point G, and DF⊥x axis be at point F. 。

In y=-3x+3, let x=0 and the solution is: y=3, that is, the coordinate of b is (0,3).

Let y=0 and the solution is: x= 1, that is, the coordinate of a is (1, 0).

Then OB=3, OA = 1.

∫∠BAD = 90，

∴∠BAO+∠DAF=90，

In: right angle △ABO, ∠ bao+∠ oba = 90,

∴∠DAF=∠OBA，

In delta △OAB and delta △FDA,

∠DAF=∠OBA∠BOA=∠AFDAB=AD，

∴△OAB≌△FDA(AAS)，

Similarly, △ OAB △ FDA △ BEC

∴AF=OB=EC=3,DF=OA=BE= 1，

So the coordinate of d is (4, 1), and the coordinate of c is (3, 4). If you substitute y=kx, you get: k=4, and the analytical formula of the function is: y = 4x.

∴OE=4，

Then the ordinate of c is 4. If y=4 is substituted into y=4x, x = 1. That is, the coordinate of g is (1, 4).

∴CG=2.

Therefore, choose: B.