在高中阶段,我们常常利用数列的性质来解决数列的问题,但忽略了用数列的性质来解决非数列问题.其实,在解三角函数、解方程、求证不等式等问题中,若能恰当巧妙地将非数列问题转化为数列问题,利用数列的性质来思考和求解,则能使求解过程化繁为简.因此,掌握数列的性质,把握数列的思想,灵活地运用数列,从数列的角度看问题,这会成为数学中一道亮丽的风景线.1.利用数列的性质1.1利用等差数列的性质 In high school, we often use the nature of the series to solve the problem of series, but neglected to solve the problem of non-series with the nature of the series.In fact, in solving trigonometric functions, solving equations, proving inequalities and other issues, To convert non-sequence problems into sequence problems and to think and solve them based on the nature of sequence can simplify the process of solving problems. Therefore, by grasping the nature of sequence, using the idea of ​​sequence and flexibly applying sequence, Problem, it will become a beautiful landscape in mathematics .1 the nature of the use of the sequence 1.1 the nature of the use of arithmetic sequence