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一、一道竞赛题及其解法 刚刚举行的今(2004)年高中数学联合竞赛中,有如下一道涉及向量的选择题. 题目:设O点在△ABC内部,且有OA+2OB+3OC=0,则△ABC的面积与△AOC的面积的比为
A competition problem and its solution The newly-formed (2004) high school mathematics competition of the current year has the following multiple-choice questions involving vectors. Topic: Let O be within △ABC and OA+2OB+3OC=0 , then the ratio of the area of △ABC to the area of △AOC is