Do y? 0, get (x? 3)2? 1? 0,
The solution is x 1? 3? ,x2? 3? .
Point a is to the left of point b,
∴A point coordinates (3? , 0), point B coordinates (3? ,0).
(2) D is DG⊥y axis, and the vertical foot is G. 。
Then G(0,? 1),GD? 3.
Do x? 0 and then y? The coordinate of point ∴C is (0,).
∴GC(? 1)? .
Let the axis of symmetry intersect the x axis at point m.
∵OE⊥CD,
∴∠GCD? ∠COH? 90? .
Meng? ∠COH? 90? ,
∴∠MOE? ∠GCD。
CGD again? ∠OMN? 90? ,
∴△DCG∽△EOM.?
∴ .
∴EM? 2, that is, the coordinate of point E is (3,2), ED? 3.
From Pythagorean Theorem, AE2? 6、AD2? 3,
∴AE2? AD2? 6? 3? 9? ED2。
∴△AED is a right triangle, that is, ∠DAE? 90? .
Let AE pass through the CD at point F.
∴∠ADC? ∠AFD? 90? .
AEO again? ∠HFE? 90? ,
∴∠AFD? HFE,
∴∠AEO? ∠ADC。
(3) If the radius of ⊙E is 1, we can get PQ2? EP2? 1.
In order to minimize the tangent length PQ, it is only necessary to minimize the EP length, that is, EP2.
Let p coordinate be (x, y), and we can get EP2 from Pythagorean theorem. (x? 3)2? (y? 2)2.
∵y? (x? 3)2? 1,
∴(x? 3)2? 2y? 2.
∴EP2? 2y? 2? y2? 4y? four
? (y? 1)2? 5.
When will you? At 1, the minimum value of EP2 is 5.
Play y? 1 becomes y? (x? 3)2? 1, get (x? 3)2? 1? 1,
The solution is x 1? 1,x2? 5.
Point p is on the parabola on the right side of the symmetry axis,
∴x 1? 1 give up.
The coordinate of point p is (5, 1).
At this time, the coordinate of point Q is (3, 1) or ().