(20 10? Nanjing) As shown in the figure, in two concentric circles with O as the center, the chord AB of the great circle is the tangent of the small circle, and C is the tangent point. If the radii of two circles are 3 cm respectively,
Solution: connect OC, OA,
Ab cuts from o to c,
∴OC⊥AB,
∴ab=2ac;
∵ At Rt△OAC, OA=5cm, OC=3cm,
∴AC=OA2? OC2 = 4cm,
∴AB=2AC=8cm.