数学观察能力就是有目的、有计划、有选择的对各种数学材料概括的知觉过程。观察是发展数学思维的良好方法与前提虽然观察看起来是一种表面现象,但它是认识事物内部规律的基础。所以,必须重视观察能力的训练,使学生不但能用常规方法解题,而且能根据题目的具体特征,采用特殊方法来解题。一、观察式子特征【例1】已知a,b,c,d都是实数,求证 Mathematical observation ability is a purposeful, planned and selective process of perceptualization of various mathematical materials. Observation is a good way and premise to develop mathematical thinking Although observation may seem like a superficial phenomenon, it is the basis for understanding the internal laws of things. Therefore, we must attach importance to the observation of competency training, so that students can not only use the conventional method to solve problems, but also according to the specific characteristics of the topic, using special methods to solve the problem. First, observe the sub-characteristics [Example 1] known a, b, c, d are real numbers, verification