新教材《三角函数》一章中,删减了许多繁琐的公式,这并不意味着要求的降低,而是给培养数学能力提供了广阔的空间.万事开头难,解题思路的产生是解题的第一步,也是最困难的一步,产生的方法多种多样,有经验,有直觉,也有妙手偶得.本文意在阐述数学意识在解题思维中的定向、指导作用. In the new textbook “trigonometric function”, a number of cumbersome formulas have been deleted. This does not imply a reduction in the requirements, but rather provides a vast space for the development of mathematical abilities. It is difficult at the beginning of everything and the solution to the problems is the solution. The first and most difficult step is to produce a variety of methods, which are experienced, intuitionistic, and handy. This article is intended to illustrate the orientation and guidance of mathematical awareness in problem solving.