[干货]CIE Pure mathematics1 学什么?

即将结束IG 10年级数学的同学,纷纷开始着手学习P1数学课程.那么A-level数学中的Pure mathematics1又将学到哪些知识呢?今天我们重点还看看P1数学中各章的知识点及重要的考点分布.A-level基础数学纯数1主要学习一元二次式,直线,等差数列和等比数列,函数,微分,积分,三角函数,向量八章知识.下面详细讲解各章知识点分布:

第一章:代数Algebra

1.主要知识

(1)解一元二次方程: Solving quadratic equations

(2)一元二次函数的图像: The graphs of quadratic functions

(3)解联立方程组: Simultaneous equations

第二章:几何坐标Co-ordinates

2.主要知识

(1)直线的斜率: The gradient of a line

(2)两点间的距离公式: The distance between two points

(3)直线方程: The equation of a straight line

第三章:数列和级数Sequence and series

3.主要知识

(1)等差数列Arithmetic  progressions

(2)等比数列Geometric progressions

(3)二项展开Binomial expansions

第四章:函数Functions

4.主要知识

(1)函数的概念: The language of functions

(2)复合函数: Composite functions

(3)反函数: Inverse  functions

第五章:微分Differentiation

5.主要知识

(1)求曲线的斜率: Finding the gradient of a curve

(2)微分运算: Differentiating by using standard results

(3)切线和法线: Tangents and normal

(4)最大值和最小值点: Maximum and minimum points

(5)增函数和减函数: Increasing and decreasing functions

(6)二阶微分: The second derivative

(7)链式法则: The chain rule

第六章:积分Integration

6.主要知识

(1)积分概念: Reversing differentiation

(2)求曲线围成的面积: Finding the area under a curve

(3) 曲线和y轴围成的面积: The area between a curve and the y axis

(4)积分求体积: Finding volumes by integration

第七章:三角函数Trigonometry

7.主要知识

(1)三角函数概念: Trigonometry functions

(2)正弦和余弦函数图像: The sine and cosine graph

(3)解三角函数方程: Solving equations using graphs of trigonometrical functions

(4)弧度制和角度制的转换: Circlar measure

第八章:向量Vectors

8.主要知识

(1)二维向量:Vectors in two dimensions

(2)三维向量:Vectors in three dimensions

(3)向量间的夹角: The angle between two vectors

P1数学考试中,每章都有一题,备考的宝宝们要认真学好每一章的知识了,重难点在于微分和积分占比较高,需要宝宝们多多花时间消化理解.加油吧,临考的时间又近了.