AQA考試局常見(jiàn)GCSE數(shù)學(xué)公式整理

在數(shù)學(xué)課程學(xué)習(xí)和考試中，公式的運(yùn)用是非常普遍也是非常重要的，今天A加未來(lái)小編帶大家來(lái)解析AQA考試局考試大綱中所列舉的一些常見(jiàn)GCSE數(shù)學(xué)公式，大家可以根據(jù)本文的列舉分類(lèi)進(jìn)行這些公式的了解和掌握，一起來(lái)了解一下吧！

1. 學(xué)生應(yīng)了解科目?jī)?nèi)容中包含的下列公式；考試中不會(huì)給出這些公式。

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. 學(xué)生應(yīng)該知道下列公式或能夠推導(dǎo)出這些公式；考試中不會(huì)給出這些公式。

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. 學(xué)生不需要記住以下公式；考試將在相關(guān)問(wèn)題中給出。

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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