Analysis: According to the intersection of straight line and coordinate axis, find the coordinates of A and B, then find the coordinates of tangent circle and straight line through triangle similarity, and then find the coordinates of intersection.

Solution: solution: ∫ straight line y =

three

three

x+

three

Intersect with x axis and y axis at point a and point b respectively,

The coordinate of the center p is (1, 0),

∴ The coordinates of point A are: 0=

three

three

x+

three

x=-3，A(-3，0)，

The coordinates of point B are: (0,

three

),

∴AB=2

three

Move the circle p to the left along the x axis. When the circle p is tangent to the straight line C 1, p1=1.

According to △AP 1C 1∽△ABO,

∴

1

three

=

AP 1

ab blood type

=

AP 1

2

three

∴AP 1=2，

The coordinates of ∴p 1 are: (-1, 0),

Move the circle p to the left along the x axis. When circle P is tangent to C2, P2C2= 1.

According to △AP2C2∽△ABO,

∴

1

three

=

AP2

ab blood type

=

AP 2

2

three

∴AP2=2，

The coordinates of P2 are: (-5,0),

From-1 to -5, the integer points are -2, -3 and -4, so the number of points P with integer abscissa is 3.

So choose B.

Comments: This question mainly examines the solution of straight lines and coordinate axes, and similar triangles's judgment. The topic is comprehensive, and paying attention to the solution of special points is the key to solving the problem.

(20 1 1? Dongying), as shown in the figure, the straight line y = frac {{sqrt {3}} {3} x+sqrt {3} intersects the X axis and the Y axis at points A and B, respectively. ...

/math/ques/detail/4 13dc 087- 1f 74-44d 7-9f C5-87e 35650 ff 70