When studying a problem, I sometimes get confused, and then I suddenly have a brainwave and find a solution to the problem. This kind of thinking is usually called epiphany thinking (or inspiration). Qian Xuesen said: "If logical thinking is linear, then image thinking is two-dimensional, and inspiration thinking seems to be three-dimensional." Epiphany is actually the combination and association of people in the process of cognition (or learning) and creation. Suddenly thought of the most suitable new idea, this is the moment of creative thinking epiphany. Epiphany usually plays a decisive role in solving practical problems. Therefore, in mathematics problem-solving teaching, we must be good at using this subconscious thinking to the maximum extent. Here, the author talks about his superficial understanding of how to promote epiphany thinking in mathematics problem-solving teaching, and how to promote epiphany from the perspective of thinking ability .54338.00000005005 It can go deep into the essence of the problem in a highly omitted, simplified and concentrated way. A reasonable intuition can often produce the overall extension of thinking, which is the epiphany of thinking. Example 1 known as1a+1b+1a+b+c, verification:1a2n+1b2n+/kloc-0.