中文摘要：

类比思想是根据两个不同对象有部分属性相同,从而猜测它们的其它属性也有可能相同的推理方法。在教学中,教师有意识地进行类比,引导学生把以前学过的知识和思考问题的方法转移到要学习的知识当中去,就可以顺理成章、水到渠成地得到一些结论,这样一来,学生便于理解,把握和接受所学的新知识,没有突兀感,同时也会体验到教学中的相似美所带来的巨大魅力。该思想在解决一元到多元,一维到多维,有限到无限,离散到连续的问题时是非常奏效的,它能使所学知识相互联系,相互融合,从而达到温故而知新的效果。

英文摘要：

Analogy thought is based on that two different objects have some same attributes, so as to guess that the other attributes may al- so have the same reasoning methods. In the teaching, teachers consciously draw the analogy and guide the student to transfer the previously knowledge and thinking method to the new knowledge, so as to naturally get some conclusion. In this way, students are easy to understand, master and accept the new knowledge without sudden move, and will also experience the great charm of teaching by the similar beauty. This thought is very effective in solving the problems from function of one to two variables, from one to multi-dimension, from limited to in- finite, and from discrete to continuous, which can make the knowledge in the mutual connection and confluence, so as to gain new knowl- edge by reviewing old.