A-level數學——M1考點大總結

跟各位老師分享的是數學M1的考點~~選擇學習這門專業課程的小主有福嘍~~

M1的測試點可分為以下主要點:

1. Mathematical models in mechanics（力學中的數學學習模型）

2.vectors（向量）

3. Kinematics of linear moving particles (kinematics)

The Dynamics of a particle moving along a straight line

5. 粒子的靜力學; 瞬間

5個考點中唯一不會單獨出題的點

Mathematical models in mechanics（力學中的數學學習模型）

Students should be familiar with the terms: particles, flakes, rigid bodies, rods (light, uniform, non-uniform) , non-retractable strings, smooth and rough surfaces, smooth pulleys, beads, lines, hanging.

1.Magnitude and direction of a vector.

2. Vector synthesis may also be required.

Students may need to split a vector into two parts or use vector graphics. Problems can be set involving the application of unit vectors I and J to displacements, velocities, accelerations, and forces in the plane.

A-Level M1考點進行比較簡單容易導致出現的題型：

1.在導航問題中，速度、位移、加速度等向量用向量表示和計算。

圖2。找出物體的方位，應以正北為基準，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前面的係數為0.如平行j軸運動，則i的係數為0.

kinematics of a particle moving in a straight line;（物體進行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.

在這個考點，要注意以下幾點:1.5靈活應用運動公式；2.計算前，單位統一換算成國際單位；3.勻速減速運動，自由落體運動時選擇正方向；4.斜面上的斷開問題。

Dynamics of particles in linear motion (dynamics)

1. The concept of force.

2. Newton's law of motion. A simple problem involving the constant acceleration of a vector in scalar form or AI + BJ form.

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. Friction coefficient.

在這個測試點中，最基本的問題是力的分解，容易出錯的點的摩擦類型和方向，總體方法和部分應用。動量和衝量計算中正方向的選擇。

粒子的靜力學; 動量。靜力學，力矩

As a vector processing force. Decomposition of forces. Equilibrium of particles under COPLANAR force. Weight, normal response, pull and thrust, friction. Just apply the equilibrium condition to a simple example of a simple system. Coefficient of friction. Moment of force.

考點主要考察

1、平衡狀態下物體受力的分解，極限平衡狀態下摩擦力方向的判斷。

2、力矩的理解，共面力矩和的計算，平衡發展狀態進行物體產生力矩的分析。

（這些模型的概念可以理解。考試中不會有單獨的問題，但這些模型的假設可以應用於其他知識點）。