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质点运动型问题通常以几何图形为载体、以运动变化为主线,常常集几何、代数知识为一体,数形结合,有较强的综合性.考查学生综合运用数学基础知识、基本技能、基本思想方法分析问题、解决问题的能力.一般地,质点运动型问题常见有点动、线动等两种情形,但不管是哪种类型的质点运动型问题,其几何图形均按照一定的规则运动,变化有序,因而,在解决问题的过程中,首先需要能用运动变化的眼光去观察、研究图形,找准图形运动变化过程中的临界位置,抓住静止的瞬间,把握运动的规律,化动为静,以不变应万变.其次需要将图形特征转化为数量关系,当题目是求有关图形的变量之间关系时,通常建立函数模型或不等式模型求解;当求图形之
The problem of particle motions usually takes the geometry as the carrier, the movement change as the main line, and often sets the geometry and algebraic knowledge as one, combining the numbers and forms a lot of syntheses.Examine the students’ comprehensive utilization of the basic knowledge of mathematics, basic skills and basic thought Method to analyze the problem, the ability to solve the problem.Generally, particle sports problems are a bit moving, moving and other two situations, but no matter what type of particle sports problems, the geometry are in accordance with certain rules of movement, changes Orderly, therefore, in the process of solving the problem, first of all need to be able to use the change of vision to observe the vision, research graphics, identify the critical position of the graphic changes in the process of movement, seize the moment of rest, grasp the laws of movement, mobilization As static, to maintain the status quo. Second, the need to transform the graphic features into a quantitative relationship, when the title is to seek the relationship between the variables related to graphics, usually to establish a functional model or inequality model solution;