灵感与逻辑是科学创造的双翼,也是数学创造的翅膀.庞加莱说:“逻辑用于论证,灵感用于发现”.显然,在面对探究性问题时,单凭逻辑思维不足以解决,还要借助于灵感.当代著名数学家、数学教育家波利亚说:“我们要设法预测到解,或解的某些特征,或者某一条通向它的小路;必须判断问题的性质,选好起 Inspiration and logic are the wings of science and the wings of mathematics, Poincaré says: ”Logic is used for argument, inspiration is used for discovery.“ Obviously, in the face of exploratory questions, Solve, but also inspired by the well-known contemporary mathematician, mathematics educator Poliya said: ”We have to try to predict the solution, or some of the characteristics of the solution, or a path leading to it; must judge the problem Nature, choose a good start