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高考物理题对理解能力和演绎推理能力及运算能力都有很高的要求,如果能与数学知识灵活整合,将会拓展优化解决物理问题的思路,提高运用数学知识解决物理问题的能力和培养迁移能力.一、用不等式解题物理中关于一些物理量的临界问题,比如求某一值的最大值或者求某一值的最小值,用不等式来解决这类问题,具有临界值的条件突出结果显明的特点.例1用长为L的细绳栓着一个质量为m的小球在竖直面内围绕O点做圆周运动,细绳所能承受的最大拉力是小球重力的1/2倍,当小球到达最高点时最大速度为多少?(不考虑空气阻力)
Physical examination of college entrance examination of the ability to understand and deductive reasoning ability and computing power have high requirements, if flexible integration with mathematical knowledge, will expand and optimize the idea of solving physical problems, improve the ability to use mathematical knowledge to solve physical problems and develop migration First, the use of inequalities to solve the physics of critical issues on some physical quantities, such as seeking the maximum value of a value or seek the minimum value, using inequalities to solve these problems, the critical value of the conditions highlight the results show Example 1 A string of mass m is tied with a string of length L for circular motion around point O in the vertical plane. The maximum tensile force that the string can withstand is 1/2 times the weight of the sphere , When the ball reaches the highest point of maximum speed for what? (Regardless of air resistance)