《数学课程标准》指出:“数学学习应当是现实的、有意义的、富有挑战性的,有利于学生主动地进行观察、实验、猜测、验证、推理与交流等数学活动。动手实践、自主探索与合作交流是学生学习数学的重要方式。”数学方法理论的倡导者G·波利亚曾说过:“在数学领域中,猜想是合理的,是值得尊重的,是负责任的态度。”猜想是 The Mathematics Curriculum Standard states: “Mathematics learning should be realistic, meaningful and challenging, and help students take the initiative to conduct mathematical activities such as observation, experiment, guesswork, verification, reasoning and communication. Exploring and collaborating is an important way for students to learn math. ”G. Gloria, an advocate of mathematical method theory, once said:“ In the field of mathematics, conjecture is reasonable, it is worthy of respect, it is responsible Attitude. ”Conjecture is