A Level數學M1考點大總結，給你考試好心態~

面對5月份的考試你是否壓力重重，保持好心態，安心備考才是正道，今天小藍要跟各位分享的是M1的考點~~

M1的考點可以分為以下幾個大點：

1. Mathematical models in mechanics（力學中的數學模型）

2.vectors（向量）

3.kinematics of a particle moving in a straight line（運動學）

4.dynamics of a particle moving in a straight line（動力學）

5.statics of a particle; moments（靜力學，力矩）

5個考點中唯一不會單獨出題的點

Mathematical models in mechanics（力學中的數學模型）

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考點比較容易出現的題型：

1.在航海問題中用向量表示及計算速度，位移，加速度等向量。

2.求某一物體的方位(bearing),應當以正北方為基準，順時針旋轉所得的角度。

3.向量在運動學和動力學的綜合題，應特別注意的是如物體運動方向平行i軸，則物體速度j前面的系數為0.如平行j軸運動，則i的系數為0.

kinematics of a particle moving in a straight line;（物體運動在直線上的運動學）

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.

在這一考點中需要注意的點有：
1.5個運動公式的靈活運用；2.計算前單位統一轉換成國際單位；3.勻減速運動，自由落體運動中正方向的選取；4.斜面上的斷線問題。

dynamics of a particle moving in a straight line（動力學）

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.

在這個考點里，考試中最基礎的題型為力的分解，易錯點位摩擦力類型及方向的判斷，整體法及部分法的應用。動量及沖量計算中正方向的選取。

statics of a particle; moments.（靜力學，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.

考點主要考察

1、物體在平衡狀態中力的分解，極限平衡狀態中摩擦力方向的判斷。

2、力矩的理解，共面力矩和的計算，平衡狀態物體力矩的分析。

（這一些模型的概念理解就可以，考試中不會單獨出題，而是在其他知識點中能應用這些模型的假設就可以）。