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2015年高考已落下帷幕,有几道客观题的参考答案给出的解法较为繁琐不尽人意,本文给出这几道高考题的简解,与读者分享.例1(江苏)设向量ak(=coskπ/6,sinkπ/6+cosk/π6)(k=0,1,2,…,11),则∑11k=0(ak·ak+1)的值为___.分析本题是以平面向量的数量积为载体考查三角函数的求值问题.参考答案给出的解法是将k的取值直接代入求解,主要运用
In 2015 the college entrance examination has come to an end, there are several objective questions given answers are more complicated and unsatisfactory, this article gives a brief introduction of these college entrance examination, and readers to share. Example 1 (Jiangsu) set ak (ak = kkkkkkkkkkkkk + cosk / π6) (k = 0, 1, 2, ..., 11) then the value of Σ11k = 0 (ak · ak + 1) is ___. The quantity of vector is the vector to test the evaluation of trigonometric function. The solution given by the reference answer is to substitute the value of k directly into solving, mainly using