AQA考试局常见GCSE数学公式整理

在数学课程学习和考试中，公式的运用是非常普遍也是非常重要的，今天A加未来小编带大家来解析AQA考试局考试大纲中所列举的一些常见GCSE数学公式，大家可以根据本文的列举分类进行这些公式的了解和掌握，一起来了解一下吧！

1. 学生应了解科目内容中包含的下列公式；考试中不会给出这些公式。

The quadratic formula

The solutions of ax2+bx+c=0 , where a≠0

x=-b±√(b2-4ac)2a

Circumference and area of a circle

Where r is the radius and d is the diameter:

Circumference of a circle = 2πr = πd

Area of a circle = πr2

Pythagoras’ theorem

In any right-angled triangle where a , b and c are lengths of the sides and c is the hypotenuse:

a2+b2=c2

Trigonometry formulae

In any right-angled triangle ABC where a , b and c are lengths of the sides and c is the hypotenuse:

sinA=ac , cosA=bc , tanA=ab

In any triangle ABC where a , b and c are lengths of the sides:

sine rule: asinA=bsinB=csinC

cosine rule: a2=b2+c2-2bc cosA

Area = 12ab sinC

2. 学生应该知道下列公式或能够推导出这些公式；考试中不会给出这些公式。

Perimeter, area, surface area and volume formulae

Where a and b are the lengths of the parallel sides and h is their perpendicular separation:

Area of a trapezium = 12(a+b)h

Volume of a prism = area of cross section x length

Compound interest

Where P is the principal amount, r is the interest rate over a given period and n is number of times that the interest is compounded:

Total accrued = P(1+r100)n

Probability

Where P(A) is the probability of outcome A and P(B) is the probability of outcome B :

P(A or B)=P(A)+P(B)-P(A and B)

P(A and B)=P(A given B)P(B)

3. 学生不需要记住以下公式；考试将在相关问题中给出。

Perimeter, area, surface area and volume formulae

Where r is the radius of the sphere or cone, l is the slant height of a cone and h is the perpendicular height of a cone:

Curved surface area of a cone = πrl

Surface area of a sphere = 4πr2

Volume of a sphere = 43πr3

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