一、辨析概率模型,直接计算例1(2011年福建卷)如图1,矩形ABCD中,点E为边CD的中点。若在矩形ABCD内部随机取一个点Q,则点Q取自△ABE内部的概率等于()A.1/4 B.1/3C.1/2 D.2/3分析由于在矩形ABCD内部随机取一个点Q的可能性相等,且结果是有无穷多个,它是一个与面积有关的几何概型。解因为S_(△ABC)=1/2|AB|·|BC|,S_(矩形)=|AB|·|BC|,则 First, identify the probability model, direct calculation of Example 1 (Fujian volume in 2011) as shown in Figure 1, rectangular ABCD, the point E is the midpoint of the edge CD. If a point Q is randomly taken inside the rectangle ABCD, then the probability that the point Q is taken inside the Δ ABE is equal to () A.1 / 4 B.1 / 3C.1 / 2 D.2 / 3 Analysis Since the interior of the rectangle ABCD The probability of taking a point Q equal, and the result is an infinite number, it is a geometric model with area. The solution is S_ (Δ ABC) = 1/2 | AB | · | BC |, S_ (rectangle) = | AB | · | BC |, then