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选择题1.已知数列{a_n}、{b_n}的前 n 项的和分别为 A_n、B_n,记 C_n=a_nB_n+b_nA_n-a_nb_n(n∈N~*),则数列{C_n}的前10项的和为().A.A_(10)+B_(10) B.(A_(10)+B_(10))/2C.A_(10)·B_(10) D.(A_(10)·B_(10))~(1/2)(本题主要考查数列的通项与前 n 项和的关系以及裂项求和法.要求学生具有良好的逆向思维能力,不但要会用前 n 项的和 S_n 表示通项
Multiple-choice questions 1. The sum of the first n terms of the known sequence {a_n}, {b_n} is A_n, B_n, and C_n=a_nB_n+b_nA_n-a_nb_n(n∈N~*), then the first 10 of the sequence {C_n}. The sum of the terms is ().A.A_(10)+B_(10) B.(A_(10)+B_(10))/2C.A_(10)·B_(10) D.(A_(10) · B_(10))~(1/2) (This question mainly examines the relationship between the general term and the first n terms of the series and the split term summation method. It requires students to have a good ability to think backward, not only to use the first n items. And S_n represent common items