A Level数学M1考点大总结,给你考试好心态~

 

面对5月份的考试你是否压力重重,保持好心态,安心备考才是正道,今天小蓝要跟各位分享的是M1的考点~~

 

M1的考点可以分为以下几个大点:

 

1. Mathematical models in mechanics(力学中的数学模型)

2.vectors(向量)

3.kinematics of a particle moving in a straight line(运动学)

4.dynamics of a particle moving in a straight line(动力学)

5.statics of a particle; moments(静力学,力矩)

 

5个考点中唯一不会单独出题的点

 

Mathematical models in mechanics(力学中的数学模型)

 

Students should be familiar with the terms: particle, lamina, rigid body, rod (light, uniform, non-uniform), inextensible string, smooth and rough surface, light smooth pulley, bead, wire, peg.

 

vectors(向量)

1.Magnitude and direction of a vector.

2.Resultant of vectors may also be required.

 

Students may be required to resolve a vector into two components or use a vector diagram. Questions may be set involving the unit vectors i and j. Application of vectors to displacements, velocities, accelerations and forces in a plane.

 

A-Level M1考点比较容易出现的题型:

 

1.在航海问题中用向量表示及计算速度,位移,加速度等向量。

 

2.求某一物体的方位(bearing),应当以正北方为基准,顺时针旋转所得的角度。

 

3.向量在运动学和动力学的综合题,应特别注意的是如物体运动方向平行i轴,则物体速度j前面的系数为0.如平行j轴运动,则i的系数为0.

 

kinematics of a particle moving in a straight line;(物体运动在直线上的运动学)

 

Motion in a straight line with constant acceleration. Graphical solutions may be required, including displacement-time, velocity-time, speed-time and acceleration-time graphs. Knowledge and use of formulae for constant acceleration will be required.

 

在这一考点中需要注意的点有:

1.5个运动公式的灵活运用;2.计算前单位统一转换成国际单位;3.匀减速运动,自由落体运动中正方向的选取;4.斜面上的断线问题。

 

dynamics of a particle moving in a straight line(动力学)

 

1.The concept of a force.

2.Newton’s laws of motion. Simple problems involving constant acceleration in scalar form or as a vector of the form ai +bj.

3. Simple applications including the motion of two connected particles.

4.Momentum and impulse. The impulse-momentum principle. The principle of conservation of momentum applied to two particles colliding directly.

5.Coefficient of friction.

 

在这个考点里,考试中最基础的题型为力的分解,易错点位摩擦力类型及方向的判断,整体法及部分法的应用。动量及冲量计算中正方向的选取。

 

statics of a particle; moments.(静力学,力矩)

 

Forces treated as vectors. Resolution of forces.  Equilibrium of a particle under coplanar forces. Weight, normal reaction, tension and thrust, friction. Only simple cases of the application of the conditions for equilibrium to uncomplicated systems will be required. Coefficient of friction. Moment of a force.

 

考点主要考察

1、物体在平衡状态中力的分解,极限平衡状态中摩擦力方向的判断。

2、力矩的理解,共面力矩和的计算,平衡状态物体力矩的分析。

(这一些模型的概念理解就可以,考试中不会单独出题,而是在其他知识点中能应用这些模型的假设就可以)。

 

 

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