翻阅2011年各省市的中考数学试卷,发现锐角三角函数与反比例函数联袂出的一类中考试题,这类试题将锐角三角函数知识与反比例函数知识融合在一起,设计新颖,富有创意,并且具有一定的综合性.本文仅举2011年各省市的中考试题为例予以分类解析,与读者共享.一、在双曲线背景下,利用已知的三角函数值求解的中考题 Read the 2011 provinces and municipalities in the math test paper and found the acute trigonometric and inverse functions together a class of senior high school entrance examination questions, such questions will acute trigonometrical function knowledge and inverse proportion function knowledge together, innovative design, creative, and have a certain Comprehensive.This paper only take the middle school entrance examination questions in various provinces and cities in 2011 as an example to classify and share with readers.First, in hyperbolic background, the use of known trigonometric function value of the test questions