生成这个题目的讲解---**Extracted Content:**
**Question Stem:**
如图, 矩形ABCD的对角线AC, BD相交于点O. 若∠AOB=60°, 则AB/BC = ( )
*Translation:* As shown in the figure, the diagonals AC and BD of rectangle ABCD intersect at point O. If ∠AOB = 60°, then AB/BC = ( )
**Options:**
A. 1/2
B. (√3 - 1)/2
C. √3/2
D. √3/3
**Other Relevant Text (Hint/Partial Solution):**
先证△ABO是等边三角形, 可得∠BAO=60°, 由直角三角形的性质可求解.
*Translation:* First prove that △ABO is an equilateral triangle, then we can get ∠BAO=60°, and the problem can be solved using properties of right-angled triangles.
**Chart/Diagram Description:**
* **Type:** Geometric figure.
* **Main Elements:**
* **Shapes:** A rectangle named ABCD.
* **Lines:** Two diagonals, AC and BD, drawn inside the rectangle.
* **Points:**
* The four vertices of the rectangle: A (top-left), B (bottom-left), C (bottom-right), D (top-right).
* The intersection point of the diagonals: O, located in the center of the rectangle.
* **Relative Position and Direction:** The diagonals AC and BD intersect at point O. Point O is centrally located within the rectangle.