A Creative Design Framework for Math Exam Questions Concerning Inequalities and Zeros of Functions with an Unknown Parameter in China National College Entrance Examination

The annual exam questions in China National College Entrance Examination (CNCEE, commonly known as Gaokao) have attracted wide attention from the entire society China. This paper analyzes an important math question related to always holding inequalities with unknown parameter 2020 CNCEE and builds different solutions via separation or classified discussion, then gives a systematic effective design framework for problems of zeros functions CNCEE. reveals internal mechanism designing According framework, two simulated reference will be proposed.