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概率是新教材新增内容,数列是传统教材的重点知识.概率与数列的综合是新、旧知识的交汇,在知识的交汇点命题已成为高考数学的特点. 例1 正四面体的各顶点为A1,A2,A3,A4,进入某顶点的动点X不停留在同一个顶点上,以每隔1秒钟向其他三个顶点以相同的概率移动.n秒后,X在Ai(i=1,2,3, 4)的概率用Pi(n)(n=0,1,2,……)表示. 当P1(0)=1/4,P2(0)=1/2时,求P1(n)与P2(n)(n=0,1,
Probability is the new content of the new textbook, and the sequence is the key knowledge of traditional textbooks. The integration of probability and sequence is the intersection of new and old knowledge. The proposition at the intersection of knowledge has become a feature of college entrance examination mathematics. Example 1 The vertices of a regular tetrahedron For A1, A2, A3, A4, the moving point X entering a certain vertex does not stay on the same vertex, and moves to the other three vertices with the same probability every 1 second. After n seconds, X is in Ai(i). The probability of =1,2,3,4) is expressed by Pi(n)(n=0,1,2,...). When P1(0)=1/4, P2(0)=1/2, Find P1(n) and P2(n) (n=0,1,