在近几年的考试中,多次出现了通过对asinα+bcosα型式子的化简来求三角函数的有关性质的题目,此类题目的传统做法是在asinα+bcosα提取一个适当的公因式,把式子变为两角和与差的正弦、余弦公式的形式,再求解.但往往在紧张的解题过程中一下难以寻找出适当的公因式进行变形,而且此类做法耗费的时间也较多,在惜时如金的高 In the examinations of recent years, there have been many times the question of finding the relevant properties of the trigonometric function by simplifying the asinα+bcosα type. The traditional method of this kind of problem is to extract an appropriate common factor in asinα+bcosα. The equation is changed to the form of two-cornered sum and difference sine and cosine formulas, and then solved. But it is often difficult to find suitable common factors to deform in the process of intense problem solving, and the time spent by this kind of practice Also more, in times of pity like gold