怎么解这个题---**Question 24**
**Question Stem:**
如图, AB是⊙O的直径, 点C在⊙O上, CD与⊙O相切, AD∥BC, 连接 OD, AC.
(1) 求证: ∠B=∠DCA;
(2) 若 tan B = (√5)/2, OD = 3√6, 求⊙O的半径长.
**Mathematical Formulas/Equations:**
tan B = (√5)/2
OD = 3√6
**Chart/Diagram Description:**
* **Type:** Geometric figure showing a circle and lines.
* **Main Elements:**
* A circle with center O.
* Line segment AB is the diameter of the circle, passing through O. Points A, O, and B are on a horizontal line. A is to the left of O, and B is to the right of O.
* Point C is on the upper semi-circle.
* Line segment AC is drawn.
* Line segment BC is drawn.
* Line segment CD is drawn, which is tangent to the circle at point C. Point D is outside the circle.
* Line segment AD is drawn.
* Line segment OD is drawn.
* There is an annotation AD || BC, indicating that the line segment AD is parallel to the line segment BC.
* Angles are formed by the intersections of these lines and segments.
**Other Relevant Text:**
第5页 (共8页)